Details

Time bar (total: 14.2s)

analyze179.0ms (1.3%)

Algorithm
1×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)

sample2.0s (14.1%)

Results
2.0s8256×body256valid
1.0ms3×body256precondition
Bogosity

preprocess56.0ms (0.4%)

Algorithm
2×egg-herbie
Rules
1312×rational.json-simplify-37
654×rational.json-simplify-14
638×rational.json-simplify-41
570×rational.json-simplify-3
564×rational.json-simplify-24
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027132
161132
2137132
3431132
41974132
033
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 cosTheta_i)))
(*.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (cos.f32 (*.f32 314159265359/50000000000 u1)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 cosTheta_i)))
(*.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (cos.f32 (*.f32 314159265359/50000000000 u1)))
(*.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (cos.f32 (*.f32 u1 314159265359/50000000000)))
Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify46.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1172×rational.json-simplify-63
1104×rational.json-simplify-67
976×rational.json-simplify-69
828×rational.json-simplify-1
592×rational.json-simplify-21
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01333
12633
25633
316433
470133
5423933
Stop Event
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))

eval0.0ms (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
0.3b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.3b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
Compiler

Compiled 14 to 11 computations (21.4% saved)

localize48.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(cos.f32 (*.f32 314159265359/50000000000 u2))
✓0.1b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓0.2b
(/.f32 u1 (-.f32 1 u1))
✓0.4b
(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 39 to 27 computations (30.8% saved)

series9.0ms (0.1%)

Counts
4 → 36
Calls

15 calls:

TimeVariablePointExpression
1.0ms
u1
@0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
1.0ms
u2
@0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
1.0ms
u1
@inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
1.0ms
u2
@inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.0ms
u2
@-inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))

rewrite97.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1118×rational.json-simplify-6
956×rational.json-simplify-4
874×rational.json-simplify-5
864×rational.json-simplify-3
704×rational.json-simplify-12
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01364
17964
225664
3117664
Stop Event
1×node limit
Counts
4 → 232
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 u2)
(/.f32 u1 (-.f32 1 u1))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(cos.f32 (*.f32 314159265359/50000000000 u2))
Outputs
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simplify133.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1862×rational.json-simplify-63
590×rational.json-simplify-1
574×rational.json-simplify-2
514×rational.json-simplify-3
512×rational.json-simplify-12
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05186632
115966572
270106572
Stop Event
1×node limit
Counts
268 → 308
Calls
Call 1
Inputs
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
1
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(+.f32 (*.f32 314159265359/50000000000 u2) 0)
(+.f32 (*.f32 314159265359/50000000000 u2) (-.f32 u2 u2))
(+.f32 0 (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 u2 -314159265359/50000000000) (*.f32 u2 314159265359/25000000000))
(+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 -314159265359/50000000000))
(+.f32 (*.f32 u2 314159265359/25000000000) (-.f32 (*.f32 u2 314159265359/25000000000) (-.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 -314159265359/50000000000))))
(+.f32 (-.f32 u2 u2) (*.f32 314159265359/50000000000 u2))
(+.f32 (+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 314159265359/25000000000)) (-.f32 0 (-.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 -314159265359/50000000000))))
(+.f32 (/.f32 (+.f32 u2 u2) 50000000000/314159265359) (*.f32 u2 -314159265359/50000000000))
(+.f32 (*.f32 (*.f32 314159265359/50000000000 u2) 1/2) (*.f32 1/2 (*.f32 314159265359/50000000000 u2)))
(-.f32 (*.f32 314159265359/50000000000 u2) 0)
(-.f32 (*.f32 314159265359/50000000000 u2) (-.f32 u2 u2))
(-.f32 0 (*.f32 u2 -314159265359/50000000000))
(-.f32 (*.f32 u2 -314159265359/50000000000) (-.f32 0 (*.f32 u2 314159265359/25000000000)))
(-.f32 (*.f32 u2 -314159265359/50000000000) (/.f32 (*.f32 u2 314159265359/25000000000) -1))
(-.f32 (*.f32 u2 314159265359/25000000000) (*.f32 314159265359/50000000000 u2))
(-.f32 (-.f32 u2 u2) (*.f32 u2 -314159265359/50000000000))
(-.f32 (-.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 -314159265359/50000000000)) (*.f32 u2 314159265359/25000000000))
(-.f32 (-.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 -314159265359/50000000000)) (-.f32 (+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 314159265359/25000000000)) (*.f32 u2 314159265359/25000000000)))
(-.f32 (+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 314159265359/25000000000)) (-.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 -314159265359/50000000000)))
(-.f32 (-.f32 (+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 314159265359/25000000000)) (-.f32 u2 u2)) (-.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 -314159265359/50000000000)))
(-.f32 (/.f32 (+.f32 u2 u2) 50000000000/314159265359) (*.f32 314159265359/50000000000 u2))
(-.f32 (/.f32 (+.f32 u2 (+.f32 u2 (+.f32 u2 u2))) 50000000000/314159265359) (/.f32 (+.f32 u2 (+.f32 u2 u2)) 50000000000/314159265359))
(/.f32 314159265359/50000000000 (/.f32 1 u2))
(/.f32 u2 50000000000/314159265359)
(/.f32 (*.f32 314159265359/50000000000 u2) 1)
(/.f32 1 (/.f32 50000000000/314159265359 u2))
(/.f32 1 (*.f32 (/.f32 1 u2) 50000000000/314159265359))
(/.f32 1/2 (/.f32 (/.f32 1/2 u2) 314159265359/50000000000))
(/.f32 (*.f32 u2 -314159265359/50000000000) -1)
(/.f32 (neg.f32 u2) -50000000000/314159265359)
(/.f32 314159265359/100000000000 (/.f32 1/2 u2))
(/.f32 (-.f32 (+.f32 (*.f32 u2 -314159265359/50000000000) (*.f32 u2 -314159265359/50000000000)) (*.f32 u2 -314159265359/50000000000)) -1)
(neg.f32 (*.f32 u2 -314159265359/50000000000))
(+.f32 (/.f32 u1 (-.f32 1 u1)) 0)
(+.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 0 (-.f32 1 u1)))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (-.f32 u1 u1))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 (-.f32 u1 u1) (-.f32 1 u1)))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 (/.f32 0 (-.f32 1 u1)) (-.f32 u1 u1)))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (-.f32 (/.f32 0 (-.f32 1 u1)) (-.f32 u1 u1)))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (-.f32 (-.f32 u1 u1) (/.f32 0 (-.f32 1 u1))))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 0 (+.f32 -2 (/.f32 u1 1/2))))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 (*.f32 u1 -2) 0))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 (/.f32 1/2 (+.f32 u1 -1)) 0))
(+.f32 0 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (/.f32 0 (-.f32 1 u1)) (/.f32 u1 (-.f32 1 u1)))
(+.f32 (/.f32 u1 (+.f32 u1 -1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 2) (/.f32 u1 (+.f32 u1 -1)))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 2) (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 2) (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2))))
(+.f32 (-.f32 u1 u1) (/.f32 u1 (-.f32 1 u1)))
(+.f32 (/.f32 (-.f32 u1 u1) (-.f32 1 u1)) (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 u1 (/.f32 1/2 (-.f32 1 u1))) (*.f32 u1 (/.f32 1/2 (-.f32 1 u1))))
(+.f32 (*.f32 u1 (/.f32 1/2 (-.f32 1 u1))) (+.f32 0 (*.f32 u1 (/.f32 1/2 (-.f32 1 u1)))))
(+.f32 (*.f32 u1 (/.f32 1/2 (-.f32 1 u1))) (-.f32 (*.f32 u1 (/.f32 1/2 (-.f32 1 u1))) (-.f32 u1 u1)))
(+.f32 (*.f32 u1 (/.f32 1/2 (-.f32 1 u1))) (*.f32 (/.f32 1/2 (+.f32 u1 -1)) (neg.f32 u1)))
(+.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 2) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)) (-.f32 0 (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2))))
(+.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 2) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)) (-.f32 (/.f32 0 (-.f32 1 u1)) (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2))))
(+.f32 (/.f32 0 (+.f32 -2 (/.f32 u1 1/2))) (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 0 (/.f32 1/2 (+.f32 u1 -1))) (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 0 (+.f32 u1 u1)) (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 1/2) (*.f32 u1 (/.f32 1/2 (-.f32 1 u1))))
(+.f32 (*.f32 (*.f32 u1 1/2) (/.f32 1 (-.f32 1 u1))) (*.f32 u1 (/.f32 1/2 (-.f32 1 u1))))
(+.f32 (/.f32 (*.f32 u1 1/2) (-.f32 1 u1)) (/.f32 (*.f32 u1 1/2) (-.f32 1 u1)))
(-.f32 (/.f32 u1 (-.f32 1 u1)) 0)
(-.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 0 (-.f32 1 u1)))
(-.f32 (/.f32 u1 (-.f32 1 u1)) (-.f32 u1 u1))
(-.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 (-.f32 u1 u1) (-.f32 1 u1)))
(-.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 0 (+.f32 -2 (/.f32 u1 1/2))))
(-.f32 0 (/.f32 u1 (+.f32 u1 -1)))
(-.f32 (/.f32 0 (-.f32 1 u1)) (/.f32 u1 (+.f32 u1 -1)))
(-.f32 (/.f32 u1 (+.f32 u1 -1)) (-.f32 0 (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)))
(-.f32 (/.f32 u1 (+.f32 u1 -1)) (-.f32 (/.f32 0 (-.f32 1 u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)))
(-.f32 (/.f32 u1 (+.f32 u1 -1)) (/.f32 (+.f32 u1 u1) (+.f32 u1 -1)))
(-.f32 (/.f32 u1 (+.f32 u1 -1)) (/.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 2) -1))
(-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 2) (/.f32 u1 (-.f32 1 u1)))
(-.f32 (-.f32 u1 u1) (/.f32 u1 (+.f32 u1 -1)))
(-.f32 (/.f32 (-.f32 u1 u1) (-.f32 1 u1)) (/.f32 u1 (+.f32 u1 -1)))
(-.f32 (*.f32 u1 (/.f32 1/2 (-.f32 1 u1))) (/.f32 u1 (+.f32 -2 (/.f32 u1 1/2))))
(-.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 2) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)) (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)))
(-.f32 (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2))
(-.f32 (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)) (-.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 2) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)))
(-.f32 (-.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 2) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)) (-.f32 u1 u1)) (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)))
(-.f32 (-.f32 (/.f32 0 (-.f32 1 u1)) (-.f32 u1 u1)) (/.f32 u1 (+.f32 u1 -1)))
(-.f32 (-.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 2) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)) (/.f32 (-.f32 u1 u1) (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)))
(-.f32 (+.f32 (/.f32 0 (-.f32 1 u1)) (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 2) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)))
(-.f32 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (+.f32 2 (/.f32 u1 -1/2))) (*.f32 u1 (/.f32 1/2 (-.f32 1 u1))))
(-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1)))
(-.f32 (/.f32 0 (+.f32 -2 (/.f32 u1 1/2))) (/.f32 u1 (+.f32 u1 -1)))
(*.f32 u1 (/.f32 1 (-.f32 1 u1)))
(*.f32 1 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(*.f32 (neg.f32 u1) (/.f32 1 (+.f32 u1 -1)))
(*.f32 (neg.f32 u1) (*.f32 (/.f32 1 (-.f32 1 u1)) -1))
(*.f32 2 (*.f32 u1 (/.f32 1/2 (-.f32 1 u1))))
(*.f32 2 (*.f32 (+.f32 u1 u1) (/.f32 -1/2 (+.f32 -2 (/.f32 u1 1/2)))))
(*.f32 (+.f32 u1 u1) (/.f32 1/2 (-.f32 1 u1)))
(*.f32 1/2 (*.f32 (/.f32 u1 (-.f32 1 u1)) 2))
(*.f32 (/.f32 1/2 (-.f32 1 u1)) (+.f32 u1 u1))
(*.f32 (/.f32 1/2 (-.f32 1 u1)) (*.f32 1/2 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1))))
(*.f32 -1 (/.f32 u1 (+.f32 u1 -1)))
(*.f32 (/.f32 u1 (+.f32 u1 -1)) -1)
(*.f32 (/.f32 1 (-.f32 1 u1)) u1)
(*.f32 -1/2 (*.f32 (+.f32 u1 u1) (/.f32 1 (+.f32 u1 -1))))
(*.f32 -1/2 (*.f32 (/.f32 1 (-.f32 1 u1)) (*.f32 u1 -2)))
(*.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 2) 1/2)
(*.f32 (*.f32 u1 -2) (/.f32 1/2 (+.f32 u1 -1)))
(*.f32 (*.f32 u1 -2) (*.f32 (/.f32 1 (-.f32 1 u1)) -1/2))
(*.f32 (/.f32 1/2 (+.f32 u1 -1)) (*.f32 u1 -2))
(*.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (/.f32 -1/2 (+.f32 -2 (/.f32 u1 1/2))))
(*.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (*.f32 1 (/.f32 -1/2 (+.f32 -2 (/.f32 u1 1/2)))))
(*.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (*.f32 (/.f32 1/2 (-.f32 1 u1)) 1/2))
(*.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 (/.f32 1/2 (-.f32 1 u1)) (/.f32 -1/2 (+.f32 -2 (/.f32 u1 1/2)))))
(*.f32 (+.f32 (/.f32 u1 (+.f32 u1 -1)) (/.f32 u1 (+.f32 u1 -1))) -1/2)
(neg.f32 (/.f32 u1 (+.f32 u1 -1)))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 0)
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 0 (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
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(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) -1)
(/.f32 (*.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (*.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (-.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) -1)
(neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)
(+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0))
(+.f32 0 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (-.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/2) (*.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 0 (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)
(-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0))
(-.f32 0 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(-.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (-.f32 0 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(-.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) -1))
(-.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(-.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(-.f32 (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(-.f32 (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(-.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(-.f32 (-.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)) (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(*.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(*.f32 1/2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(*.f32 -1 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) -1)
(*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 1/2)
(*.f32 (-.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (cos.f32 (*.f32 314159265359/50000000000 u2))) -1/2)
(/.f32 1 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(/.f32 1/2 (/.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) -1)
(/.f32 (-.f32 (-.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) -1)
(neg.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
Outputs
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (pow.f32 u1 2))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (pow.f32 u1 2) (+.f32 u1 (pow.f32 u1 3)))
(+.f32 u1 (+.f32 (pow.f32 u1 2) (pow.f32 u1 3)))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (pow.f32 u1 2) (+.f32 (+.f32 u1 (pow.f32 u1 3)) (pow.f32 u1 4)))
(+.f32 (+.f32 u1 (+.f32 (pow.f32 u1 2) (pow.f32 u1 3))) (pow.f32 u1 4))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 2)))))
(neg.f32 (+.f32 (/.f32 1 u1) (+.f32 1 (/.f32 1 (pow.f32 u1 2)))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 3)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 2))))))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 1 (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 2)))))
(neg.f32 (+.f32 (/.f32 1 u1) (+.f32 1 (/.f32 1 (pow.f32 u1 2)))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 3)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 2))))))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 1 (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))))))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -1/2) (*.f32 u1 (sqrt.f32 -1))))
(+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 u1 (sqrt.f32 -1)) -1/2)))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -1/2) (*.f32 u1 (sqrt.f32 -1))) (+.f32 (*.f32 -1/2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (pow.f32 u1 2) (sqrt.f32 -1))))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 u1 (sqrt.f32 -1)) -1/2)) (+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 -1/2 (/.f32 (/.f32 (*.f32 (pow.f32 u1 2) (sqrt.f32 -1)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(+.f32 (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -1/2) (*.f32 u1 (sqrt.f32 -1))) (+.f32 (*.f32 -1/2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (pow.f32 u1 2) (sqrt.f32 -1))))) (+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))) (*.f32 (pow.f32 u1 3) (sqrt.f32 -1)))))))
(+.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 u1 (sqrt.f32 -1)) -1/2)) (+.f32 (/.f32 -1/2 (/.f32 (/.f32 (*.f32 (pow.f32 u1 2) (sqrt.f32 -1)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 -1/2 (/.f32 (/.f32 (*.f32 (pow.f32 u1 3) (sqrt.f32 -1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)))))))))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 1/2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 3/8 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(+.f32 (*.f32 3/8 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 1/2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 5/16 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 2))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4))) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 6))))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
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(/.f32 (-.f32 (-.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) -1)
(cos.f32 (*.f32 314159265359/50000000000 u2))
(neg.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 314159265359/50000000000 u2))

eval209.0ms (1.5%)

Compiler

Compiled 7010 to 5357 computations (23.6% saved)

prune116.0ms (0.8%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New29216308
Fresh000
Picked011
Done000
Total29217309
Error
0.0b
Counts
309 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.4b
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
0.4b
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
0.4b
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
0.4b
(/.f32 1/2 (/.f32 (/.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
1.0b
(-.f32 (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
0.9b
(-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))
▶0.6b
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
▶0.3b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
0.3b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (-.f32 (-.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 -314159265359/50000000000)) (*.f32 u2 314159265359/25000000000))))
✓0.3b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.7b
(*.f32 (sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.5b
(*.f32 (sqrt.f32 (-.f32 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (+.f32 2 (/.f32 u1 -1/2))) (/.f32 u1 (/.f32 (-.f32 1 u1) 1/2)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
▶0.4b
(*.f32 (sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 1 u1) u1)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.4b
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
7.8b
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
▶6.3b
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
Compiler

Compiled 764 to 597 computations (21.9% saved)

localize53.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2)))
✓0.1b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
0.2b
(/.f32 u1 (-.f32 1 u1))
✓0.4b
(/.f32 314159265359/50000000000 (/.f32 1 u2))
Compiler

Compiled 48 to 35 computations (27.1% saved)

series1.0ms (0%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
0.0ms
u1
@0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
0.0ms
u2
@0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
0.0ms
u1
@-inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
0.0ms
u2
@inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))

rewrite130.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1218×rational.json-simplify-6
1028×rational.json-simplify-4
936×rational.json-simplify-3
890×rational.json-simplify-5
790×rational.json-simplify-21
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451
19351
233051
3152251
Stop Event
1×node limit
Counts
3 → 434
Calls
Call 1
Inputs
(/.f32 314159265359/50000000000 (/.f32 1 u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
(cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2)))
Outputs
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(2) ((x +.f32 (+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 314159265359/25000000000)) (-.f32 0 (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 u2 314159265359/25000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 314159265359/50000000000 u2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 314159265359/50000000000 u2) (/.f32 (-.f32 u2 u2) 50000000000/314159265359))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 -314159265359/50000000000 u2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 -314159265359/50000000000 u2) (-.f32 0 (*.f32 u2 314159265359/25000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 -314159265359/50000000000 u2) (/.f32 (+.f32 u2 u2) -50000000000/314159265359))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 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u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -314159265359/50000000000 (neg.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -314159265359/50000000000 (*.f32 1 (neg.f32 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 u2 u2) 314159265359/100000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 314159265359/25000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 314159265359/12500000000 (/.f32 u2 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (neg.f32 u2) u2) -314159265359/100000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 -314159265359/50000000000 u2) (*.f32 -314159265359/50000000000 u2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -314159265359/25000000000 (neg.f32 (*.f32 u2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -314159265359/25000000000 (/.f32 1/2 (/.f32 -1 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 -314159265359/50000000000 u2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 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((x neg.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))))

simplify224.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1090×rational.json-simplify-2
1080×rational.json-simplify-3
922×rational.json-simplify-1
820×rational.json-simplify-63
798×rational.json-simplify-12
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
087014198
1268414174
Stop Event
1×node limit
Counts
478 → 483
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
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(-.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
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(-.f32 (+.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 0)) (*.f32 0 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (+.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 0)) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
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(-.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 0)) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(-.f32 (/.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (/.f32 0 (*.f32 -1 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))) (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (/.f32 0 (neg.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))) (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) -1) (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) -1) (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (/.f32 0 (*.f32 -1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (/.f32 0 (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1 (/.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1 (*.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 1 (*.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -1 (*.f32 -1 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -1 (neg.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1 (*.f32 -1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1 (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(/.f32 1/2 (/.f32 (/.f32 1 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1/2 (/.f32 (/.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 -1 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 1 (*.f32 -1 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 1 (neg.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) -1))
(/.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1)
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1 (*.f32 -1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1 (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(neg.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)
(+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 0 (cos.f32 (*.f32 314159265359/50000000000 u2)))
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(+.f32 (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 0 (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)
(-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(-.f32 0 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(-.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (-.f32 0 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(-.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) -1))
(-.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(-.f32 (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(-.f32 (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(-.f32 (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(-.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(-.f32 (-.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(*.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(*.f32 1/2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(*.f32 -1 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 1/2)
(*.f32 (-.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (cos.f32 (*.f32 314159265359/50000000000 u2))) -1/2)
(/.f32 1 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(/.f32 1/2 (/.f32 1 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) -1)
(neg.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
Outputs
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
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(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1 (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 1/2 (/.f32 (/.f32 1 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 1/2 (/.f32 (/.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 -1 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 1 (*.f32 -1 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 1 (neg.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) -1))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1)
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1 (*.f32 -1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1 (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(neg.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)
(cos.f32 (*.f32 314159265359/50000000000 u2))
(+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(+.f32 0 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(+.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (-.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(+.f32 (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(+.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 0 (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)
(cos.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 0 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (-.f32 0 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) -1))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (-.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(cos.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 1/2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 -1 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 1/2)
(cos.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 (-.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (cos.f32 (*.f32 314159265359/50000000000 u2))) -1/2)
(cos.f32 (*.f32 314159265359/50000000000 u2))
(/.f32 1 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(cos.f32 (*.f32 314159265359/50000000000 u2))
(/.f32 1/2 (/.f32 1 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) -1)
(cos.f32 (*.f32 314159265359/50000000000 u2))
(neg.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 314159265359/50000000000 u2))

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
0.2b
(/.f32 u1 (-.f32 1 u1))
Compiler

Compiled 19 to 13 computations (31.6% saved)

series1.0ms (0%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
0.0ms
u1
@0
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
0.0ms
u1
@inf
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
0.0ms
u1
@-inf
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

rewrite64.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1458×rational.json-simplify-67
756×rational.json-simplify-6
660×rational.json-simplify-50
660×rational.json-simplify-4
562×rational.json-simplify-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
15217
218117
378717
4655817
Stop Event
1×node limit
Counts
1 → 43
Calls
Call 1
Inputs
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))) (+.f32 (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -2 (/.f32 1/2 (/.f32 1 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1/2 (/.f32 -1 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (/.f32 1 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))

simplify77.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1402×rational.json-simplify-63
1266×rational.json-simplify-1
650×rational.json-simplify-4
598×rational.json-simplify-24
510×rational.json-simplify-3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01171183
13441183
212941163
367941163
Stop Event
1×node limit
Counts
51 → 68
Calls
Call 1
Inputs
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))
(+.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)
(-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))
(-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)))
(-.f32 0 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(-.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3))
(-.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(-.f32 (+.f32 (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))) (+.f32 (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(*.f32 2 (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(*.f32 -1 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1)
(*.f32 -1/2 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 -1/2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))
(*.f32 -1/2 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2)
(*.f32 -2 (/.f32 1/2 (/.f32 1 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1/2)
(*.f32 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) -1/2)
(*.f32 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) -1/2)
(*.f32 (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)
(/.f32 1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(/.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(/.f32 1/2 (/.f32 -1 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 -1 (/.f32 1 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1)
(neg.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
Outputs
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)))
(-.f32 (sqrt.f32 -1) (/.f32 (/.f32 1/2 u1) (sqrt.f32 -1)))
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (/.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (sqrt.f32 -1) (-.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)) -1/2)) (/.f32 (/.f32 1/2 u1) (sqrt.f32 -1))))
(+.f32 (sqrt.f32 -1) (/.f32 (-.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 -1/2 (pow.f32 u1 2))) (/.f32 1/2 u1)) (sqrt.f32 -1)))
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (/.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)) -1/2)) (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (-.f32 (sqrt.f32 -1) (/.f32 (/.f32 1/2 u1) (sqrt.f32 -1)))))
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (/.f32 (-.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 -1/2 (pow.f32 u1 2))) (/.f32 1/2 u1)) (sqrt.f32 -1))))
(+.f32 (+.f32 (sqrt.f32 -1) (/.f32 (-.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 -1/2 (pow.f32 u1 2))) (/.f32 1/2 u1)) (sqrt.f32 -1))) (*.f32 (+.f32 1 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)))) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (*.f32 (sqrt.f32 -1) (/.f32 1/2 u1)))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 (sqrt.f32 -1) (/.f32 1/2 u1)) (/.f32 (*.f32 (sqrt.f32 -1) 3/8) (pow.f32 u1 2))))
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 (sqrt.f32 -1) (/.f32 1/2 u1)) (*.f32 (sqrt.f32 -1) (/.f32 3/8 (pow.f32 u1 2)))))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 (sqrt.f32 -1) (/.f32 5/16 (pow.f32 u1 3))) (+.f32 (*.f32 (sqrt.f32 -1) (/.f32 1/2 u1)) (/.f32 (*.f32 (sqrt.f32 -1) 3/8) (pow.f32 u1 2)))))
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 (sqrt.f32 -1) (/.f32 5/16 (pow.f32 u1 3))) (+.f32 (*.f32 (sqrt.f32 -1) (/.f32 1/2 u1)) (*.f32 (sqrt.f32 -1) (/.f32 3/8 (pow.f32 u1 2))))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 0 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (+.f32 (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))) (+.f32 (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 2 (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 -1 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 -1/2 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 -1/2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 -1/2 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 -2 (/.f32 1/2 (/.f32 1 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1/2)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) -1/2)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) -1/2)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(/.f32 1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(/.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(/.f32 1/2 (/.f32 -1 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(/.f32 -1 (/.f32 1 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(neg.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

localize51.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(cos.f32 (*.f32 314159265359/50000000000 u2))
0.2b
(/.f32 u1 (-.f32 1 u1))
✓0.2b
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
0.4b
(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 47 to 34 computations (27.7% saved)

series1.0ms (0%)

Counts
1 → 20
Calls

6 calls:

TimeVariablePointExpression
0.0ms
u1
@0
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
0.0ms
u1
@inf
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
0.0ms
u1
@-inf
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
0.0ms
u2
@0
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
0.0ms
u2
@inf
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))

rewrite66.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1348×rational.json-simplify-6
1038×rational.json-simplify-13
932×rational.json-simplify-21
904×rational.json-simplify-3
750×rational.json-simplify-12
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01433
19133
233133
3165033
Stop Event
1×node limit
Counts
1 → 132
Calls
Call 1
Inputs
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
Outputs
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314159265359/50000000000 u2))) (/.f32 1/2 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1 (/.f32 1/2 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1/2 (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 1 (/.f32 1/2 (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))))

simplify100.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1532×rational.json-simplify-14
1438×rational.json-simplify-13
1162×rational.json-simplify-15
994×rational.json-simplify-21
840×rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03265700
110025700
239005700
Stop Event
1×node limit
Counts
152 → 167
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 0)
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)))
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(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)))
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(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 0 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 0 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 0 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 0 (-.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 0 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)))
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(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))))
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(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (-.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))))
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(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0))))
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(*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) -1)
(*.f32 1/4 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(*.f32 -1/2 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 -1/2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 1/2)
(*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -2) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -2) (*.f32 1 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))
(*.f32 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -2))
(*.f32 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 1 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -2)))
(*.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 4))
(*.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/2) 1/2))
(*.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 1 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 4)))
(*.f32 (-.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 1/2 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (-.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1 (/.f32 1/2 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (-.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1/2))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1/2 (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 1 (/.f32 1/2 (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -1/2))
(*.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) -1/2)
(neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
Outputs
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (/.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) -1/2))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (/.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))))) (+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))))))))
(+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1/2 (/.f32 (+.f32 1 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (pow.f32 (sqrt.f32 -1) 2) 1/2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))))
(+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) -1/2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1/2 (/.f32 (+.f32 1 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (pow.f32 (sqrt.f32 -1) 2) 1/2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 3/8 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(+.f32 (*.f32 1/2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 3/8 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 5/16 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (/.f32 5/16 (/.f32 (/.f32 (pow.f32 u1 3) (sqrt.f32 -1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (pow.f32 u2 2) (*.f32 -98696044010906577398881/5000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 (pow.f32 u2 2) (*.f32 -98696044010906577398881/5000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (pow.f32 u2 4) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (pow.f32 u2 4) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(+.f32 (*.f32 (pow.f32 u2 2) (*.f32 -98696044010906577398881/5000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 (pow.f32 u2 4) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 6))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 (pow.f32 u2 4) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 6))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 0)
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
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(*.f32 -1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 -1 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -2)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 -1 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (/.f32 1/2 (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) -1)
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 1/4 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 -1/2 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 -1/2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 1/2)
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -2) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -2) (*.f32 1 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -2))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
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(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
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(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/2) 1/2))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 1 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 4)))
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(*.f32 (-.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 1/2 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
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(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (-.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1/2))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1/2 (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 1 (/.f32 1/2 (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -1/2))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) -1/2)
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

localize122.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1)))
✓0.2b
(/.f32 (-.f32 1 u1) u1)
✓0.3b
(/.f32 2 (/.f32 (-.f32 1 u1) u1))
0.4b
(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 121 to 63 computations (47.9% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
u1
@0
(/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1)))
0.0ms
u1
@-inf
(/.f32 (-.f32 1 u1) u1)
0.0ms
u1
@inf
(/.f32 (-.f32 1 u1) u1)
0.0ms
u1
@inf
(/.f32 2 (/.f32 (-.f32 1 u1) u1))
0.0ms
u1
@0
(/.f32 2 (/.f32 (-.f32 1 u1) u1))

rewrite93.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
996×rational.json-simplify-67
928×rational.json-1
928×rational.json-2
928×rational.json-4
928×rational.json-3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01565
110861
245445
3280945
Stop Event
1×node limit
Counts
3 → 449
Calls
Call 1
Inputs
(/.f32 2 (/.f32 (-.f32 1 u1) u1))
(/.f32 (-.f32 1 u1) u1)
(/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1)))
Outputs
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simplify134.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1002×rational.json-simplify-24
954×rational.json-simplify-4
742×rational.json-simplify-1
732×rational.json-simplify-5
710×rational.json-simplify-2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
086613451
1261413091
Stop Event
1×node limit
Counts
485 → 646
Calls
Call 1
Inputs
(*.f32 2 u1)
(+.f32 (*.f32 2 u1) (*.f32 2 (pow.f32 u1 2)))
(+.f32 (*.f32 2 u1) (+.f32 (*.f32 2 (pow.f32 u1 3)) (*.f32 2 (pow.f32 u1 2))))
(+.f32 (*.f32 2 u1) (+.f32 (*.f32 2 (pow.f32 u1 3)) (+.f32 (*.f32 2 (pow.f32 u1 2)) (*.f32 2 (pow.f32 u1 4)))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 u1))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 u1)) (*.f32 2 (/.f32 1 (pow.f32 u1 2))))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 u1)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 u1 3))) (*.f32 2 (/.f32 1 (pow.f32 u1 2)))))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 u1))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 u1)) (*.f32 2 (/.f32 1 (pow.f32 u1 2))))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 u1)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 u1 3))) (*.f32 2 (/.f32 1 (pow.f32 u1 2)))))))
(/.f32 1 u1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
-1
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
-1
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(+.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) 0)
(+.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (/.f32 0 (+.f32 u1 -1)))
(+.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (neg.f32 (/.f32 0 (+.f32 u1 -1))))
(+.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 0))
(+.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (-.f32 (/.f32 0 (+.f32 u1 -1)) (/.f32 0 (+.f32 u1 -1))))
(+.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (/.f32 -1 (/.f32 (+.f32 u1 (+.f32 u1 -2)) 0)))
(+.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (/.f32 -1 (/.f32 (-.f32 1 u1) 0)))
(+.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (/.f32 -1 (*.f32 (-.f32 1 u1) (/.f32 1/2 0))))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 u1 (-.f32 1 u1)))
(+.f32 0 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)))
(+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -1/2) (*.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(+.f32 (/.f32 0 (+.f32 u1 -1)) (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)))
(+.f32 (*.f32 2 (/.f32 u1 (+.f32 u1 -1))) (/.f32 (*.f32 u1 4) (-.f32 1 u1)))
(+.f32 (/.f32 (*.f32 u1 4) (-.f32 1 u1)) (*.f32 2 (/.f32 u1 (+.f32 u1 -1))))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (*.f32 (/.f32 u1 (+.f32 u1 -1)) -1/2))
(+.f32 (neg.f32 (/.f32 0 (+.f32 u1 -1))) (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 0) (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)))
(+.f32 (-.f32 (/.f32 0 (+.f32 u1 -1)) (/.f32 0 (+.f32 u1 -1))) (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) 0)
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (*.f32 1/2 (/.f32 0 (+.f32 u1 -1))))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (/.f32 0 (+.f32 u1 -1)))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (neg.f32 (/.f32 0 (+.f32 u1 -1))))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 0))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (-.f32 (/.f32 0 (+.f32 u1 -1)) (/.f32 0 (+.f32 u1 -1))))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (/.f32 1 (/.f32 (+.f32 u1 -1) 0)))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (+.f32 (/.f32 0 (+.f32 u1 -1)) (/.f32 0 (+.f32 u1 -1))))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (+.f32 (/.f32 0 (+.f32 u1 -1)) (*.f32 1/2 (/.f32 0 (+.f32 u1 -1)))))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 0) (*.f32 1/2 (/.f32 0 (+.f32 u1 -1)))))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (+.f32 (*.f32 1/2 (/.f32 0 (+.f32 u1 -1))) (/.f32 0 (+.f32 u1 -1))))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 0) (/.f32 0 (+.f32 u1 -1))))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (+.f32 0 (*.f32 (/.f32 u1 (-.f32 1 u1)) 0)))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (+.f32 (*.f32 1/2 (/.f32 0 (+.f32 u1 -1))) (*.f32 (/.f32 u1 (-.f32 1 u1)) 0)))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (+.f32 (/.f32 0 (+.f32 u1 -1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 0)))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 0) (*.f32 (/.f32 u1 (-.f32 1 u1)) 0)))
(-.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 u1 (+.f32 u1 -1)))
(-.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 1 (/.f32 (+.f32 u1 (+.f32 u1 -2)) (+.f32 u1 u1))))
(-.f32 0 (*.f32 2 (/.f32 u1 (+.f32 u1 -1))))
(-.f32 (/.f32 0 (+.f32 u1 -1)) (*.f32 2 (/.f32 u1 (+.f32 u1 -1))))
(-.f32 (/.f32 0 (+.f32 u1 -1)) (/.f32 u1 (+.f32 (*.f32 u1 1/2) -1/2)))
(-.f32 (/.f32 0 (+.f32 u1 -1)) (/.f32 1 (/.f32 (/.f32 (+.f32 u1 -1) u1) 2)))
(-.f32 (/.f32 0 (+.f32 u1 -1)) (/.f32 1 (/.f32 (+.f32 u1 -1) (+.f32 u1 u1))))
(-.f32 (/.f32 (*.f32 u1 4) (-.f32 1 u1)) (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)))
(-.f32 (/.f32 (*.f32 u1 4) (-.f32 1 u1)) (+.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (*.f32 1/2 (/.f32 0 (+.f32 u1 -1)))))
(-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 3) (/.f32 u1 (-.f32 1 u1)))
(-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (*.f32 (/.f32 u1 (-.f32 1 u1)) 6))
(-.f32 (+.f32 (/.f32 0 (+.f32 u1 -1)) (/.f32 0 (+.f32 u1 -1))) (+.f32 (/.f32 0 (+.f32 u1 -1)) (*.f32 2 (/.f32 u1 (+.f32 u1 -1)))))
(-.f32 (+.f32 (/.f32 0 (+.f32 u1 -1)) (/.f32 0 (+.f32 u1 -1))) (+.f32 (/.f32 0 (+.f32 u1 -1)) (/.f32 u1 (+.f32 (*.f32 u1 1/2) -1/2))))
(-.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 3) (*.f32 (/.f32 u1 (-.f32 1 u1)) 3)) (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 3) (/.f32 u1 (-.f32 1 u1))))
(-.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (*.f32 (/.f32 u1 (-.f32 1 u1)) 8)) (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (*.f32 (/.f32 u1 (-.f32 1 u1)) 6)))
(*.f32 2 (/.f32 u1 (-.f32 1 u1)))
(*.f32 2 (/.f32 1/2 (/.f32 (/.f32 1/2 u1) (/.f32 -1 (+.f32 u1 -1)))))
(*.f32 2 (/.f32 1/2 (/.f32 (*.f32 (/.f32 (+.f32 u1 -1) u1) -2) 4)))
(*.f32 1 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)))
(*.f32 u1 (/.f32 -2 (+.f32 u1 -1)))
(*.f32 u1 (/.f32 -1 (*.f32 (-.f32 1 u1) -1/2)))
(*.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) 1)
(*.f32 (neg.f32 u1) (/.f32 2 (+.f32 u1 -1)))
(*.f32 (neg.f32 u1) (/.f32 1 (+.f32 (*.f32 u1 1/2) -1/2)))
(*.f32 (neg.f32 u1) (/.f32 1 (*.f32 (-.f32 1 u1) -1/2)))
(*.f32 (neg.f32 u1) (-.f32 0 (/.f32 -2 (+.f32 u1 -1))))
(*.f32 (*.f32 u1 -2) (neg.f32 (/.f32 -1 (+.f32 u1 -1))))
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(*.f32 (neg.f32 (*.f32 u1 4)) (/.f32 1 (+.f32 (*.f32 u1 4) -4)))
(*.f32 (/.f32 1 (+.f32 (*.f32 u1 4) -4)) (neg.f32 (*.f32 u1 4)))
(*.f32 4 (/.f32 1/2 (*.f32 (/.f32 (+.f32 u1 -1) u1) -2)))
(*.f32 (/.f32 u1 (+.f32 u1 -1)) -1)
(*.f32 (/.f32 u1 (+.f32 u1 (+.f32 u1 -2))) -2)
(*.f32 (/.f32 1 (+.f32 u1 (+.f32 u1 -2))) (*.f32 u1 -2))
(*.f32 (/.f32 -2 (+.f32 u1 -1)) (/.f32 1/2 (/.f32 1 u1)))
(*.f32 (/.f32 -1 (+.f32 u1 -1)) u1)
(*.f32 (*.f32 1/2 (/.f32 1/2 (-.f32 1 u1))) (*.f32 u1 4))
(*.f32 -1/2 (/.f32 (+.f32 u1 u1) (+.f32 u1 -1)))
(*.f32 -1/2 (+.f32 (/.f32 u1 (+.f32 u1 -1)) (/.f32 u1 (+.f32 u1 -1))))
(*.f32 -1/2 (-.f32 (+.f32 (*.f32 2 (/.f32 u1 (+.f32 u1 -1))) (*.f32 2 (/.f32 u1 (+.f32 u1 -1)))) (/.f32 (+.f32 u1 u1) (+.f32 u1 -1))))
(*.f32 -1/2 (+.f32 (*.f32 (/.f32 u1 (+.f32 u1 (+.f32 u1 -2))) 2) (/.f32 u1 (+.f32 u1 -1))))
(*.f32 -1/2 (+.f32 (*.f32 (/.f32 u1 (+.f32 u1 (+.f32 u1 -2))) 2) (/.f32 (*.f32 u1 -2) (+.f32 2 (*.f32 u1 -2)))))
(*.f32 (*.f32 u1 4) (*.f32 1/2 (/.f32 1/2 (-.f32 1 u1))))
(*.f32 (*.f32 u1 4) (neg.f32 (/.f32 1 (+.f32 (*.f32 u1 4) -4))))
(*.f32 (/.f32 1/2 (-.f32 1 u1)) (+.f32 u1 u1))
(*.f32 (/.f32 (+.f32 u1 u1) (+.f32 u1 -1)) -1/2)
(*.f32 (neg.f32 (/.f32 1 (+.f32 (*.f32 u1 4) -4))) (*.f32 u1 4))
(*.f32 (/.f32 1/2 (+.f32 u1 -1)) (*.f32 u1 -2))
(*.f32 (/.f32 1 (+.f32 u1 -1)) (neg.f32 u1))
(*.f32 (/.f32 1/2 (+.f32 (*.f32 u1 4) -4)) (*.f32 (neg.f32 (*.f32 u1 4)) 2))
(*.f32 (*.f32 (neg.f32 (*.f32 u1 4)) 2) (/.f32 1/2 (+.f32 (*.f32 u1 4) -4)))
(*.f32 (*.f32 (neg.f32 (*.f32 u1 4)) 2) (-.f32 (/.f32 1 (+.f32 (*.f32 u1 4) -4)) (/.f32 1/2 (+.f32 (*.f32 u1 4) -4))))
(*.f32 (*.f32 (neg.f32 (*.f32 u1 4)) 2) (/.f32 1/2 (/.f32 1 (/.f32 1 (+.f32 (*.f32 u1 4) -4)))))
(*.f32 (+.f32 (/.f32 u1 (+.f32 u1 -1)) (/.f32 u1 (+.f32 u1 -1))) -1/2)
(*.f32 (*.f32 (*.f32 u1 4) 2) (/.f32 1/2 (neg.f32 (+.f32 (*.f32 u1 4) -4))))
(*.f32 (+.f32 (/.f32 1 (+.f32 u1 (+.f32 u1 -2))) (/.f32 1 (+.f32 u1 (+.f32 u1 -2)))) (/.f32 1/2 (/.f32 -1/2 u1)))
(*.f32 (+.f32 (/.f32 1/2 (-.f32 1 u1)) (/.f32 1/2 (-.f32 1 u1))) (/.f32 1/2 (/.f32 1/2 u1)))
(*.f32 (+.f32 (/.f32 (*.f32 u1 -2) (+.f32 2 (*.f32 u1 -2))) (/.f32 (*.f32 u1 -2) (+.f32 2 (*.f32 u1 -2)))) -1/2)
(*.f32 (+.f32 (/.f32 1 (+.f32 u1 -1)) (/.f32 1 (+.f32 u1 -1))) (/.f32 1/2 (/.f32 -1 u1)))
(*.f32 (+.f32 (*.f32 (/.f32 u1 (+.f32 u1 (+.f32 u1 -2))) 2) (*.f32 (/.f32 u1 (+.f32 u1 (+.f32 u1 -2))) 2)) -1/2)
(neg.f32 (/.f32 u1 (+.f32 u1 -1)))
(neg.f32 (/.f32 (*.f32 u1 -2) (+.f32 2 (*.f32 u1 -2))))
(neg.f32 (*.f32 (/.f32 u1 (+.f32 u1 (+.f32 u1 -2))) 2))
Outputs
(*.f32 2 u1)
(+.f32 (*.f32 2 u1) (*.f32 2 (pow.f32 u1 2)))
(+.f32 (*.f32 2 u1) (+.f32 (*.f32 2 (pow.f32 u1 3)) (*.f32 2 (pow.f32 u1 2))))
(+.f32 (*.f32 2 u1) (+.f32 (*.f32 2 (pow.f32 u1 2)) (*.f32 2 (pow.f32 u1 3))))
(+.f32 (*.f32 2 (pow.f32 u1 2)) (+.f32 (*.f32 2 (pow.f32 u1 3)) (*.f32 2 u1)))
(+.f32 (*.f32 2 u1) (+.f32 (*.f32 2 (pow.f32 u1 3)) (+.f32 (*.f32 2 (pow.f32 u1 2)) (*.f32 2 (pow.f32 u1 4)))))
(+.f32 (*.f32 2 u1) (+.f32 (*.f32 2 (pow.f32 u1 2)) (+.f32 (*.f32 2 (pow.f32 u1 3)) (*.f32 2 (pow.f32 u1 4)))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 u1))))
(neg.f32 (+.f32 2 (/.f32 2 u1)))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 u1)) (*.f32 2 (/.f32 1 (pow.f32 u1 2))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 (pow.f32 u1 2)) (/.f32 2 u1))))
(neg.f32 (+.f32 (/.f32 2 (pow.f32 u1 2)) (+.f32 2 (/.f32 2 u1))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 u1)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 u1 3))) (*.f32 2 (/.f32 1 (pow.f32 u1 2)))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 (pow.f32 u1 3)) (+.f32 (/.f32 2 (pow.f32 u1 2)) (/.f32 2 u1)))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 (pow.f32 u1 2)) (+.f32 (/.f32 2 u1) (/.f32 2 (pow.f32 u1 3))))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 u1))))
(neg.f32 (+.f32 2 (/.f32 2 u1)))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 u1)) (*.f32 2 (/.f32 1 (pow.f32 u1 2))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 (pow.f32 u1 2)) (/.f32 2 u1))))
(neg.f32 (+.f32 (/.f32 2 (pow.f32 u1 2)) (+.f32 2 (/.f32 2 u1))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 u1)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 u1 3))) (*.f32 2 (/.f32 1 (pow.f32 u1 2)))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 (pow.f32 u1 3)) (+.f32 (/.f32 2 (pow.f32 u1 2)) (/.f32 2 u1)))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 (pow.f32 u1 2)) (+.f32 (/.f32 2 u1) (/.f32 2 (pow.f32 u1 3))))))
(/.f32 1 u1)
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
-1
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
-1
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (pow.f32 u1 2))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (pow.f32 u1 2) (+.f32 u1 (pow.f32 u1 3)))
(+.f32 (pow.f32 u1 3) (+.f32 u1 (pow.f32 u1 2)))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) (+.f32 (pow.f32 u1 4) u1)))
(+.f32 (pow.f32 u1 3) (+.f32 (pow.f32 u1 2) (+.f32 u1 (pow.f32 u1 4))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 2)))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 (pow.f32 u1 3))))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 2)))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 (pow.f32 u1 3))))))
(+.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) 0)
(/.f32 u1 (/.f32 (+.f32 u1 -1) -2))
(*.f32 u1 (/.f32 2 (-.f32 1 u1)))
(+.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (/.f32 0 (+.f32 u1 -1)))
(/.f32 u1 (/.f32 (+.f32 u1 -1) -2))
(*.f32 u1 (/.f32 2 (-.f32 1 u1)))
(+.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (neg.f32 (/.f32 0 (+.f32 u1 -1))))
(/.f32 u1 (/.f32 (+.f32 u1 -1) -2))
(*.f32 u1 (/.f32 2 (-.f32 1 u1)))
(+.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 0))
(+.f32 (/.f32 u1 (/.f32 (+.f32 u1 -1) -2)) (*.f32 0 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 u1 (/.f32 2 (-.f32 1 u1))) (*.f32 0 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (-.f32 (/.f32 0 (+.f32 u1 -1)) (/.f32 0 (+.f32 u1 -1))))
(/.f32 u1 (/.f32 (+.f32 u1 -1) -2))
(*.f32 u1 (/.f32 2 (-.f32 1 u1)))
(+.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (/.f32 -1 (/.f32 (+.f32 u1 (+.f32 u1 -2)) 0)))
(+.f32 (/.f32 u1 (/.f32 (+.f32 u1 -1) -2)) (*.f32 -1 (/.f32 0 (+.f32 u1 (+.f32 u1 -2)))))
(+.f32 (*.f32 u1 (/.f32 2 (-.f32 1 u1))) (/.f32 0 (neg.f32 (+.f32 u1 (+.f32 u1 -2)))))
(+.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (/.f32 -1 (/.f32 (-.f32 1 u1) 0)))
(/.f32 u1 (/.f32 (+.f32 u1 -1) -2))
(*.f32 u1 (/.f32 2 (-.f32 1 u1)))
(+.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (/.f32 -1 (*.f32 (-.f32 1 u1) (/.f32 1/2 0))))
(/.f32 u1 (/.f32 (+.f32 u1 -1) -2))
(*.f32 u1 (/.f32 2 (-.f32 1 u1)))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 u1 (-.f32 1 u1)))
(/.f32 u1 (/.f32 (+.f32 u1 -1) -2))
(*.f32 u1 (/.f32 2 (-.f32 1 u1)))
(+.f32 0 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)))
(/.f32 u1 (/.f32 (+.f32 u1 -1) -2))
(*.f32 u1 (/.f32 2 (-.f32 1 u1)))
(+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -1/2) (*.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(+.f32 (/.f32 0 (+.f32 u1 -1)) (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)))
(/.f32 u1 (/.f32 (+.f32 u1 -1) -2))
(*.f32 u1 (/.f32 2 (-.f32 1 u1)))
(+.f32 (*.f32 2 (/.f32 u1 (+.f32 u1 -1))) (/.f32 (*.f32 u1 4) (-.f32 1 u1)))
(+.f32 (*.f32 2 (/.f32 u1 (+.f32 u1 -1))) (*.f32 4 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) -2)) (*.f32 4 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (/.f32 (*.f32 u1 4) (-.f32 1 u1)) (*.f32 2 (/.f32 u1 (+.f32 u1 -1))))
(+.f32 (*.f32 2 (/.f32 u1 (+.f32 u1 -1))) (*.f32 4 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) -2)) (*.f32 4 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (*.f32 (/.f32 u1 (+.f32 u1 -1)) -1/2))
(+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -1/2) (*.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(+.f32 (neg.f32 (/.f32 0 (+.f32 u1 -1))) (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)))
(/.f32 u1 (/.f32 (+.f32 u1 -1) -2))
(*.f32 u1 (/.f32 2 (-.f32 1 u1)))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 0) (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)))
(+.f32 (/.f32 u1 (/.f32 (+.f32 u1 -1) -2)) (*.f32 0 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 u1 (/.f32 2 (-.f32 1 u1))) (*.f32 0 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (-.f32 (/.f32 0 (+.f32 u1 -1)) (/.f32 0 (+.f32 u1 -1))) (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)))
(/.f32 u1 (/.f32 (+.f32 u1 -1) -2))
(*.f32 u1 (/.f32 2 (-.f32 1 u1)))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) 0)
(/.f32 u1 (/.f32 (+.f32 u1 -1) -2))
(*.f32 u1 (/.f32 2 (-.f32 1 u1)))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (*.f32 1/2 (/.f32 0 (+.f32 u1 -1))))
(/.f32 u1 (/.f32 (+.f32 u1 -1) -2))
(*.f32 u1 (/.f32 2 (-.f32 1 u1)))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (/.f32 0 (+.f32 u1 -1)))
(/.f32 u1 (/.f32 (+.f32 u1 -1) -2))
(*.f32 u1 (/.f32 2 (-.f32 1 u1)))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (neg.f32 (/.f32 0 (+.f32 u1 -1))))
(/.f32 u1 (/.f32 (+.f32 u1 -1) -2))
(*.f32 u1 (/.f32 2 (-.f32 1 u1)))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 0))
(-.f32 (/.f32 u1 (/.f32 (+.f32 u1 -1) -2)) (*.f32 0 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (*.f32 u1 (/.f32 2 (-.f32 1 u1))) (*.f32 0 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (-.f32 (/.f32 0 (+.f32 u1 -1)) (/.f32 0 (+.f32 u1 -1))))
(/.f32 u1 (/.f32 (+.f32 u1 -1) -2))
(*.f32 u1 (/.f32 2 (-.f32 1 u1)))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (/.f32 1 (/.f32 (+.f32 u1 -1) 0)))
(/.f32 u1 (/.f32 (+.f32 u1 -1) -2))
(*.f32 u1 (/.f32 2 (-.f32 1 u1)))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (+.f32 (/.f32 0 (+.f32 u1 -1)) (/.f32 0 (+.f32 u1 -1))))
(/.f32 u1 (/.f32 (+.f32 u1 -1) -2))
(*.f32 u1 (/.f32 2 (-.f32 1 u1)))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (+.f32 (/.f32 0 (+.f32 u1 -1)) (*.f32 1/2 (/.f32 0 (+.f32 u1 -1)))))
(/.f32 u1 (/.f32 (+.f32 u1 -1) -2))
(*.f32 u1 (/.f32 2 (-.f32 1 u1)))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 0) (*.f32 1/2 (/.f32 0 (+.f32 u1 -1)))))
(-.f32 (/.f32 u1 (/.f32 (+.f32 u1 -1) -2)) (*.f32 0 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (*.f32 u1 (/.f32 2 (-.f32 1 u1))) (*.f32 0 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (+.f32 (*.f32 1/2 (/.f32 0 (+.f32 u1 -1))) (/.f32 0 (+.f32 u1 -1))))
(/.f32 u1 (/.f32 (+.f32 u1 -1) -2))
(*.f32 u1 (/.f32 2 (-.f32 1 u1)))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 0) (/.f32 0 (+.f32 u1 -1))))
(-.f32 (/.f32 u1 (/.f32 (+.f32 u1 -1) -2)) (*.f32 0 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (*.f32 u1 (/.f32 2 (-.f32 1 u1))) (*.f32 0 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (+.f32 0 (*.f32 (/.f32 u1 (-.f32 1 u1)) 0)))
(-.f32 (/.f32 u1 (/.f32 (+.f32 u1 -1) -2)) (*.f32 0 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (*.f32 u1 (/.f32 2 (-.f32 1 u1))) (*.f32 0 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (+.f32 (*.f32 1/2 (/.f32 0 (+.f32 u1 -1))) (*.f32 (/.f32 u1 (-.f32 1 u1)) 0)))
(-.f32 (/.f32 u1 (/.f32 (+.f32 u1 -1) -2)) (*.f32 0 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (*.f32 u1 (/.f32 2 (-.f32 1 u1))) (*.f32 0 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (+.f32 (/.f32 0 (+.f32 u1 -1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 0)))
(-.f32 (/.f32 u1 (/.f32 (+.f32 u1 -1) -2)) (*.f32 0 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (*.f32 u1 (/.f32 2 (-.f32 1 u1))) (*.f32 0 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)) (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 0) (*.f32 (/.f32 u1 (-.f32 1 u1)) 0)))
(-.f32 (/.f32 u1 (/.f32 (+.f32 u1 -1) -2)) (+.f32 (*.f32 0 (/.f32 u1 (-.f32 1 u1))) (*.f32 0 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (*.f32 u1 (/.f32 2 (-.f32 1 u1))) (+.f32 (*.f32 0 (/.f32 u1 (-.f32 1 u1))) (*.f32 0 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (/.f32 (+.f32 u1 -1) -2))
(*.f32 u1 (/.f32 2 (-.f32 1 u1)))
(-.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 1 (/.f32 (+.f32 u1 (+.f32 u1 -2)) (+.f32 u1 u1))))
(-.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 1 (/.f32 (+.f32 u1 u1) (+.f32 u1 (+.f32 u1 -2)))))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 -2 (/.f32 u1 (+.f32 u1 (+.f32 u1 -2)))))
(-.f32 0 (*.f32 2 (/.f32 u1 (+.f32 u1 -1))))
(/.f32 u1 (/.f32 (+.f32 u1 -1) -2))
(*.f32 u1 (/.f32 2 (-.f32 1 u1)))
(-.f32 (/.f32 0 (+.f32 u1 -1)) (*.f32 2 (/.f32 u1 (+.f32 u1 -1))))
(-.f32 (/.f32 0 (+.f32 u1 -1)) (/.f32 u1 (/.f32 (-.f32 1 u1) -2)))
(-.f32 (/.f32 0 (+.f32 u1 -1)) (/.f32 u1 (+.f32 (*.f32 u1 1/2) -1/2)))
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(*.f32 (+.f32 u1 u1) (+.f32 (*.f32 1/2 (/.f32 1/2 (-.f32 1 u1))) (neg.f32 (/.f32 1 (+.f32 (*.f32 u1 4) -4)))))
(*.f32 (+.f32 u1 u1) (+.f32 (/.f32 1/4 (-.f32 1 u1)) (neg.f32 (/.f32 1 (+.f32 (*.f32 u1 4) -4)))))
(*.f32 (+.f32 u1 u1) (+.f32 (/.f32 1/4 (-.f32 1 u1)) (/.f32 -1 (+.f32 (*.f32 u1 4) -4))))
(*.f32 (+.f32 u1 u1) (-.f32 0 (/.f32 1 (+.f32 u1 (+.f32 u1 -2)))))
(*.f32 (+.f32 u1 u1) (neg.f32 (/.f32 1 (+.f32 u1 (+.f32 u1 -2)))))
(*.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(/.f32 u1 (-.f32 1 u1))
(*.f32 -1 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (-.f32 1 u1))
(*.f32 -1 (*.f32 (/.f32 u1 (+.f32 u1 (+.f32 u1 -2))) 2))
(/.f32 -1 (/.f32 (+.f32 u1 (+.f32 u1 -2)) (+.f32 u1 u1)))
(*.f32 -2 (/.f32 u1 (+.f32 u1 (+.f32 u1 -2))))
(*.f32 -1 (+.f32 (/.f32 u1 (+.f32 u1 (+.f32 u1 -2))) (/.f32 1/2 (/.f32 (+.f32 u1 -1) u1))))
(*.f32 -1 (+.f32 (/.f32 u1 (+.f32 u1 (+.f32 u1 -2))) (*.f32 1/2 (/.f32 u1 (+.f32 u1 -1)))))
(+.f32 (*.f32 (/.f32 u1 (+.f32 u1 (+.f32 u1 -2))) -1) (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -1/2) 2)
(/.f32 u1 (-.f32 1 u1))
(*.f32 1/2 (/.f32 (*.f32 u1 -2) (+.f32 u1 -1)))
(/.f32 u1 (-.f32 1 u1))
(*.f32 1/2 (-.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 (*.f32 u1 -2) (+.f32 2 (*.f32 u1 -2)))))
(*.f32 1/2 (-.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 -2 (/.f32 u1 (+.f32 2 (*.f32 u1 -2))))))
(*.f32 (neg.f32 (*.f32 u1 4)) (/.f32 1 (+.f32 (*.f32 u1 4) -4)))
(/.f32 1 (/.f32 (+.f32 (*.f32 u1 4) -4) (neg.f32 (*.f32 u1 4))))
(/.f32 (neg.f32 (*.f32 u1 4)) (+.f32 (*.f32 u1 4) -4))
(*.f32 (/.f32 1 (+.f32 (*.f32 u1 4) -4)) (neg.f32 (*.f32 u1 4)))
(/.f32 1 (/.f32 (+.f32 (*.f32 u1 4) -4) (neg.f32 (*.f32 u1 4))))
(/.f32 (neg.f32 (*.f32 u1 4)) (+.f32 (*.f32 u1 4) -4))
(*.f32 4 (/.f32 1/2 (*.f32 (/.f32 (+.f32 u1 -1) u1) -2)))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (/.f32 u1 (+.f32 u1 -1)) -1)
(/.f32 u1 (-.f32 1 u1))
(*.f32 (/.f32 u1 (+.f32 u1 (+.f32 u1 -2))) -2)
(/.f32 -1 (/.f32 (+.f32 u1 (+.f32 u1 -2)) (+.f32 u1 u1)))
(*.f32 -2 (/.f32 u1 (+.f32 u1 (+.f32 u1 -2))))
(*.f32 (/.f32 1 (+.f32 u1 (+.f32 u1 -2))) (*.f32 u1 -2))
(*.f32 (*.f32 u1 -2) (/.f32 1 (+.f32 u1 (+.f32 u1 -2))))
(/.f32 (*.f32 u1 -2) (+.f32 u1 (+.f32 u1 -2)))
(*.f32 (/.f32 -2 (+.f32 u1 -1)) (/.f32 1/2 (/.f32 1 u1)))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (/.f32 -1 (+.f32 u1 -1)) u1)
(/.f32 u1 (-.f32 1 u1))
(*.f32 (*.f32 1/2 (/.f32 1/2 (-.f32 1 u1))) (*.f32 u1 4))
(/.f32 u1 (-.f32 1 u1))
(*.f32 -1/2 (/.f32 (+.f32 u1 u1) (+.f32 u1 -1)))
(/.f32 u1 (-.f32 1 u1))
(*.f32 -1/2 (+.f32 (/.f32 u1 (+.f32 u1 -1)) (/.f32 u1 (+.f32 u1 -1))))
(/.f32 u1 (-.f32 1 u1))
(*.f32 -1/2 (-.f32 (+.f32 (*.f32 2 (/.f32 u1 (+.f32 u1 -1))) (*.f32 2 (/.f32 u1 (+.f32 u1 -1)))) (/.f32 (+.f32 u1 u1) (+.f32 u1 -1))))
(/.f32 u1 (-.f32 1 u1))
(*.f32 -1/2 (+.f32 (*.f32 (/.f32 u1 (+.f32 u1 (+.f32 u1 -2))) 2) (/.f32 u1 (+.f32 u1 -1))))
(*.f32 -1/2 (+.f32 (/.f32 u1 (+.f32 u1 -1)) (*.f32 2 (/.f32 u1 (+.f32 u1 (+.f32 u1 -2))))))
(*.f32 -1/2 (+.f32 (/.f32 u1 (+.f32 u1 -1)) (/.f32 (+.f32 u1 u1) (+.f32 u1 (+.f32 u1 -2)))))
(*.f32 -1/2 (+.f32 (*.f32 (/.f32 u1 (+.f32 u1 (+.f32 u1 -2))) 2) (/.f32 (*.f32 u1 -2) (+.f32 2 (*.f32 u1 -2)))))
(*.f32 -1/2 (+.f32 (*.f32 -2 (/.f32 u1 (+.f32 2 (*.f32 u1 -2)))) (*.f32 2 (/.f32 u1 (+.f32 u1 (+.f32 u1 -2))))))
(*.f32 -1/2 (+.f32 (*.f32 -2 (/.f32 u1 (+.f32 2 (*.f32 u1 -2)))) (/.f32 (+.f32 u1 u1) (+.f32 u1 (+.f32 u1 -2)))))
(*.f32 (*.f32 u1 4) (*.f32 1/2 (/.f32 1/2 (-.f32 1 u1))))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (*.f32 u1 4) (neg.f32 (/.f32 1 (+.f32 (*.f32 u1 4) -4))))
(/.f32 1 (/.f32 (+.f32 (*.f32 u1 4) -4) (neg.f32 (*.f32 u1 4))))
(/.f32 (neg.f32 (*.f32 u1 4)) (+.f32 (*.f32 u1 4) -4))
(*.f32 (/.f32 1/2 (-.f32 1 u1)) (+.f32 u1 u1))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (/.f32 (+.f32 u1 u1) (+.f32 u1 -1)) -1/2)
(/.f32 u1 (-.f32 1 u1))
(*.f32 (neg.f32 (/.f32 1 (+.f32 (*.f32 u1 4) -4))) (*.f32 u1 4))
(/.f32 1 (/.f32 (+.f32 (*.f32 u1 4) -4) (neg.f32 (*.f32 u1 4))))
(/.f32 (neg.f32 (*.f32 u1 4)) (+.f32 (*.f32 u1 4) -4))
(*.f32 (/.f32 1/2 (+.f32 u1 -1)) (*.f32 u1 -2))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (/.f32 1 (+.f32 u1 -1)) (neg.f32 u1))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (/.f32 1/2 (+.f32 (*.f32 u1 4) -4)) (*.f32 (neg.f32 (*.f32 u1 4)) 2))
(/.f32 1 (/.f32 (+.f32 (*.f32 u1 4) -4) (neg.f32 (*.f32 u1 4))))
(/.f32 (neg.f32 (*.f32 u1 4)) (+.f32 (*.f32 u1 4) -4))
(*.f32 (*.f32 (neg.f32 (*.f32 u1 4)) 2) (/.f32 1/2 (+.f32 (*.f32 u1 4) -4)))
(/.f32 1 (/.f32 (+.f32 (*.f32 u1 4) -4) (neg.f32 (*.f32 u1 4))))
(/.f32 (neg.f32 (*.f32 u1 4)) (+.f32 (*.f32 u1 4) -4))
(*.f32 (*.f32 (neg.f32 (*.f32 u1 4)) 2) (-.f32 (/.f32 1 (+.f32 (*.f32 u1 4) -4)) (/.f32 1/2 (+.f32 (*.f32 u1 4) -4))))
(/.f32 1 (/.f32 (+.f32 (*.f32 u1 4) -4) (neg.f32 (*.f32 u1 4))))
(/.f32 (neg.f32 (*.f32 u1 4)) (+.f32 (*.f32 u1 4) -4))
(*.f32 (*.f32 (neg.f32 (*.f32 u1 4)) 2) (/.f32 1/2 (/.f32 1 (/.f32 1 (+.f32 (*.f32 u1 4) -4)))))
(/.f32 1 (/.f32 (+.f32 (*.f32 u1 4) -4) (neg.f32 (*.f32 u1 4))))
(/.f32 (neg.f32 (*.f32 u1 4)) (+.f32 (*.f32 u1 4) -4))
(*.f32 (+.f32 (/.f32 u1 (+.f32 u1 -1)) (/.f32 u1 (+.f32 u1 -1))) -1/2)
(/.f32 u1 (-.f32 1 u1))
(*.f32 (*.f32 (*.f32 u1 4) 2) (/.f32 1/2 (neg.f32 (+.f32 (*.f32 u1 4) -4))))
(*.f32 (*.f32 2 (*.f32 u1 4)) (/.f32 1/2 (neg.f32 (+.f32 (*.f32 u1 4) -4))))
(/.f32 (*.f32 u1 8) (/.f32 (+.f32 (*.f32 u1 4) -4) -1/2))
(*.f32 (+.f32 (/.f32 1 (+.f32 u1 (+.f32 u1 -2))) (/.f32 1 (+.f32 u1 (+.f32 u1 -2)))) (/.f32 1/2 (/.f32 -1/2 u1)))
(*.f32 (neg.f32 u1) (/.f32 2 (+.f32 u1 (+.f32 u1 -2))))
(*.f32 (+.f32 (/.f32 1/2 (-.f32 1 u1)) (/.f32 1/2 (-.f32 1 u1))) (/.f32 1/2 (/.f32 1/2 u1)))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (+.f32 (/.f32 (*.f32 u1 -2) (+.f32 2 (*.f32 u1 -2))) (/.f32 (*.f32 u1 -2) (+.f32 2 (*.f32 u1 -2)))) -1/2)
(*.f32 -1/2 (/.f32 (+.f32 (*.f32 u1 -2) (*.f32 u1 -2)) (+.f32 2 (*.f32 u1 -2))))
(*.f32 (+.f32 (/.f32 1 (+.f32 u1 -1)) (/.f32 1 (+.f32 u1 -1))) (/.f32 1/2 (/.f32 -1 u1)))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (+.f32 (*.f32 (/.f32 u1 (+.f32 u1 (+.f32 u1 -2))) 2) (*.f32 (/.f32 u1 (+.f32 u1 (+.f32 u1 -2))) 2)) -1/2)
(*.f32 -1/2 (+.f32 (*.f32 2 (/.f32 u1 (+.f32 u1 (+.f32 u1 -2)))) (*.f32 2 (/.f32 u1 (+.f32 u1 (+.f32 u1 -2))))))
(*.f32 -1/2 (+.f32 (/.f32 (+.f32 u1 u1) (+.f32 u1 (+.f32 u1 -2))) (/.f32 (+.f32 u1 u1) (+.f32 u1 (+.f32 u1 -2)))))
(neg.f32 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (-.f32 1 u1))
(neg.f32 (/.f32 (*.f32 u1 -2) (+.f32 2 (*.f32 u1 -2))))
(neg.f32 (*.f32 -2 (/.f32 u1 (+.f32 2 (*.f32 u1 -2)))))
(/.f32 (neg.f32 (*.f32 u1 -2)) (+.f32 2 (*.f32 u1 -2)))
(neg.f32 (*.f32 (/.f32 u1 (+.f32 u1 (+.f32 u1 -2))) 2))
(/.f32 -1 (/.f32 (+.f32 u1 (+.f32 u1 -2)) (+.f32 u1 u1)))
(*.f32 -2 (/.f32 u1 (+.f32 u1 (+.f32 u1 -2))))

localize182.0ms (1.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f32 u1 (-.f32 1 u1))
✓0.2b
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
✓0.3b
(/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
0.4b
(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 114 to 87 computations (23.7% saved)

series4.0ms (0%)

Counts
2 → 28
Calls

9 calls:

TimeVariablePointExpression
1.0ms
u1
@0
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
1.0ms
u2
@0
(/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
1.0ms
u2
@-inf
(/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
0.0ms
u1
@0
(/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
0.0ms
u1
@inf
(/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))

rewrite68.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1354×rational.json-simplify-6
980×rational.json-simplify-3
888×rational.json-simplify-37
788×rational.json-simplify-12
758×rational.json-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01772
110968
239262
3212662
Stop Event
1×node limit
Counts
2 → 153
Calls
Call 1
Inputs
(/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
Outputs
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simplify143.0ms (1%)

Algorithm
1×egg-herbie
Rules
1586×rational.json-simplify-21
1384×rational.json-simplify-23
1044×rational.json-simplify-33
1040×rational.json-simplify-1
408×rational.json-simplify-67
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03767169
111527159
247247149
Stop Event
1×node limit
Counts
181 → 219
Calls
Call 1
Inputs
(*.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (*.f32 961389193575684075633145058384385882649239799132134631991269883031841/5625000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 -2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 -2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 -2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 -2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 -2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 -2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 -2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 -2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 -2 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
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(-.f32 (*.f32 2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 4) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (*.f32 2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (-.f32 0 (*.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 4)))
(-.f32 (*.f32 2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 4)))
(-.f32 (*.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 4) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1/2)))
(-.f32 (*.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 0) (*.f32 2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (/.f32 0 (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)) (*.f32 2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (+.f32 (*.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 4) (*.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 4)) (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1/2)) (*.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 4)))
(-.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1/2)) (*.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 4)) (*.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 4))
(-.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1/2)) (*.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 4)) (-.f32 (+.f32 (*.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 4) (*.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 4)) (*.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 4)))
(-.f32 (+.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1/2))) (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (+.f32 (*.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 4) (*.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 4))) (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1/2)) (*.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 4)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1/2))
(*.f32 2 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 2 (/.f32 1/2 (/.f32 (/.f32 -1 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 2 (-.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1/2)) (/.f32 1/2 (/.f32 (/.f32 -1 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 2 (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 1 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1/2)))
(*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1/2)) 1)
(*.f32 -1 (*.f32 2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2)
(*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 4) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1/2))
(*.f32 1/2 (*.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 4))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1/2) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 4))
(*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 -2 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -2) (/.f32 -1 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(*.f32 (*.f32 2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) -1)
(*.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 -2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 -2 (/.f32 1/2 (/.f32 1 (*.f32 2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 4 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 4 (/.f32 1/2 (/.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 4 (-.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 4 (-.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1/2 (/.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (*.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 4) 1/2)
(*.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 4)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(*.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 4)) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1/2)))
(*.f32 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1/2)) (neg.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 4)))
(*.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 4) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 4)) (/.f32 1/2 (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 4) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 4)) (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1/2) (/.f32 1/2 (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 4) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) -1/2)
(neg.f32 (*.f32 2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(neg.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 4)))
(+.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 0)
(+.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 0 (/.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 0 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (/.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (/.f32 (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2) (-.f32 0 (+.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (/.f32 (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2) (-.f32 (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1/2) (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 0)
(-.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 0 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (/.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (/.f32 (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2) (+.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (+.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (+.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2))
(-.f32 (+.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (+.f32 (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (+.f32 (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2)) (+.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 2 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(*.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1)
(*.f32 -1 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 1/2 (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2)
(*.f32 -2 (neg.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 -2 (/.f32 1/2 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 4 (/.f32 1/2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(*.f32 4 (-.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1/2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))
(*.f32 -1/2 (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2)
(*.f32 (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1/2)
(neg.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
Outputs
(*.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 2))))
(+.f32 (*.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))
(+.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 2))) (+.f32 (*.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (pow.f32 u2 4) (*.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (+.f32 (*.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(+.f32 (*.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
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(+.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 0)
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 0 (/.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 0 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (/.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (/.f32 (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2) (-.f32 0 (+.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (/.f32 (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2) (-.f32 (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1/2) (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 0)
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 0 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2) (+.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (+.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (+.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (+.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (+.f32 (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (+.f32 (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2)) (+.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 2 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1)
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 -1 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 1/2 (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2)
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 -2 (neg.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 -2 (/.f32 1/2 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 4 (/.f32 1/2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 4 (-.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1/2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 -1/2 (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2)
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1/2)
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(neg.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

eval1.7s (11.9%)

Compiler

Compiled 69114 to 51177 computations (26% saved)

prune958.0ms (6.8%)

Pruning

36 alts after pruning (33 fresh and 3 done)

PrunedKeptTotal
New2315282343
Fresh6511
Picked101
Done235
Total2324362360
Error
0.0b
Counts
2360 → 36
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.4b
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (cos.f32 (/.f32 1 (*.f32 (/.f32 1 u2) 50000000000/314159265359)))))
✓0.4b
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
7.8b
(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
0.4b
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
0.4b
(/.f32 1 (/.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
6.3b
(/.f32 1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
0.4b
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
8.6b
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (/.f32 1 (sqrt.f32 u1)))))
1.4b
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (-.f32 (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))
1.9b
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (+.f32 (/.f32 (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2) (-.f32 (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))))
0.6b
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 4 (/.f32 1/2 (/.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
0.7b
(-.f32 (*.f32 (sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 1 u1) u1)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
0.8b
(-.f32 (*.f32 (sqrt.f32 (-.f32 (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
6.6b
(-.f32 (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3))
0.3b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (-.f32 (/.f32 (*.f32 u2 942477796077/50000000000) 2) (/.f32 u2 100000000000/314159265359))))
✓0.3b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
▶0.3b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 -314159265359/25000000000 (/.f32 1/2 (/.f32 -1 u2)))))
0.5b
(*.f32 (sqrt.f32 (-.f32 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (+.f32 2 (/.f32 u1 -1/2))) (/.f32 u1 (/.f32 (-.f32 1 u1) 1/2)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.8b
(*.f32 (sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 4 (+.f32 u1 3)) u1)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.4b
(*.f32 (sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 1 u1) u1)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
0.4b
(*.f32 (sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 1 u1) u1)) (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.8b
(*.f32 (sqrt.f32 (-.f32 (-.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 3) (*.f32 (/.f32 u1 (-.f32 1 u1)) 3)) (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 3) (/.f32 u1 (-.f32 1 u1)))) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
▶0.8b
(*.f32 (sqrt.f32 (-.f32 (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (*.f32 (/.f32 u1 (-.f32 1 u1)) 6)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.7b
(*.f32 (sqrt.f32 (-.f32 (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 3) (/.f32 u1 (-.f32 1 u1))) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.5b
(*.f32 (sqrt.f32 (-.f32 (*.f32 (/.f32 -2 (+.f32 u1 -1)) u1) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.4b
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
7.8b
(*.f32 (sqrt.f32 u1) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
▶7.8b
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓6.3b
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
6.5b
(sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1))))
6.4b
(sqrt.f32 (-.f32 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (+.f32 2 (/.f32 u1 -1/2))) (/.f32 u1 (/.f32 (-.f32 1 u1) 1/2))))
6.3b
(sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 1 u1) u1)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1)))))
6.4b
(sqrt.f32 (-.f32 (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)))
9.0b
(sqrt.f32 (+.f32 (pow.f32 u1 2) u1))
6.3b
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
▶11.6b
(sqrt.f32 u1)
Compiler

Compiled 1719 to 1325 computations (22.9% saved)

localize58.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 -314159265359/25000000000 (/.f32 1/2 (/.f32 -1 u2)))))
0.2b
(/.f32 u1 (-.f32 1 u1))
✓0.2b
(/.f32 1/2 (/.f32 -1 u2))
✓0.4b
(*.f32 -314159265359/25000000000 (/.f32 1/2 (/.f32 -1 u2)))
Compiler

Compiled 61 to 47 computations (23% saved)

series2.0ms (0%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
0.0ms
u2
@-inf
(/.f32 1/2 (/.f32 -1 u2))
0.0ms
u2
@inf
(/.f32 1/2 (/.f32 -1 u2))
0.0ms
u2
@0
(/.f32 1/2 (/.f32 -1 u2))
0.0ms
u1
@0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 -314159265359/25000000000 (/.f32 1/2 (/.f32 -1 u2)))))
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 -314159265359/25000000000 (/.f32 1/2 (/.f32 -1 u2)))))

rewrite114.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1378×rational.json-simplify-6
1018×rational.json-simplify-5
992×rational.json-simplify-3
916×rational.json-simplify-13
850×rational.json-simplify-21
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01759
111347
239147
3179547
Stop Event
1×node limit
Counts
3 → 429
Calls
Call 1
Inputs
(*.f32 -314159265359/25000000000 (/.f32 1/2 (/.f32 -1 u2)))
(/.f32 1/2 (/.f32 -1 u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 -314159265359/25000000000 (/.f32 1/2 (/.f32 -1 u2)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 314159265359/50000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 314159265359/50000000000) (-.f32 (*.f32 u2 -314159265359/50000000000) (*.f32 u2 -314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 -314159265359/50000000000) (*.f32 314159265359/25000000000 u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 314159265359/25000000000 u2) (*.f32 u2 -314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 314159265359/25000000000 u2) (-.f32 (*.f32 314159265359/25000000000 u2) (+.f32 (*.f32 u2 314159265359/50000000000) (*.f32 314159265359/25000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 314159265359/25000000000 u2) (-.f32 (*.f32 u2 -314159265359/50000000000) (-.f32 (*.f32 u2 -314159265359/50000000000) (*.f32 u2 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simplify218.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1158×rational.json-simplify-3
1120×rational.json-simplify-2
902×rational.json-simplify-1
856×rational.json-simplify-12
754×rational.json-simplify-5
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
088316479
1277914527
Stop Event
1×node limit
Counts
473 → 488
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 -1/2 u2)
(*.f32 -1/2 u2)
(*.f32 -1/2 u2)
(*.f32 -1/2 u2)
(*.f32 -1/2 u2)
(*.f32 -1/2 u2)
(*.f32 -1/2 u2)
(*.f32 -1/2 u2)
(*.f32 -1/2 u2)
(*.f32 -1/2 u2)
(*.f32 -1/2 u2)
(*.f32 -1/2 u2)
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
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(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
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(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
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(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 u2 314159265359/50000000000) 0)
(+.f32 (*.f32 u2 314159265359/50000000000) (-.f32 (*.f32 u2 -314159265359/50000000000) (*.f32 u2 -314159265359/50000000000)))
(+.f32 0 (*.f32 u2 314159265359/50000000000))
(+.f32 (*.f32 u2 -314159265359/50000000000) (*.f32 314159265359/25000000000 u2))
(+.f32 (*.f32 314159265359/25000000000 u2) (*.f32 u2 -314159265359/50000000000))
(+.f32 (*.f32 314159265359/25000000000 u2) (-.f32 (*.f32 314159265359/25000000000 u2) (+.f32 (*.f32 u2 314159265359/50000000000) (*.f32 314159265359/25000000000 u2))))
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(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (/.f32 1 (cos.f32 (*.f32 u2 314159265359/50000000000))) -1))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 u2 314159265359/50000000000))) -1)
(/.f32 (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 -1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1))
(/.f32 (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 1 (*.f32 -1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(/.f32 (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 1 (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(neg.f32 (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 u2 314159265359/50000000000))))
Outputs
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 -1/2 u2)
(*.f32 u2 -1/2)
(*.f32 -1/2 u2)
(*.f32 u2 -1/2)
(*.f32 -1/2 u2)
(*.f32 u2 -1/2)
(*.f32 -1/2 u2)
(*.f32 u2 -1/2)
(*.f32 -1/2 u2)
(*.f32 u2 -1/2)
(*.f32 -1/2 u2)
(*.f32 u2 -1/2)
(*.f32 -1/2 u2)
(*.f32 u2 -1/2)
(*.f32 -1/2 u2)
(*.f32 u2 -1/2)
(*.f32 -1/2 u2)
(*.f32 u2 -1/2)
(*.f32 -1/2 u2)
(*.f32 u2 -1/2)
(*.f32 -1/2 u2)
(*.f32 u2 -1/2)
(*.f32 -1/2 u2)
(*.f32 u2 -1/2)
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 (sqrt.f32 -1) u1) -1/2)))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (/.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (+.f32 (/.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (/.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 (sqrt.f32 -1) u1) -1/2))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(+.f32 (/.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (+.f32 (/.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) (+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (/.f32 1/2 (/.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))))
(+.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 (sqrt.f32 -1) u1) -1/2)) (+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (/.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) (/.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (*.f32 (+.f32 1 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (pow.f32 (sqrt.f32 -1) 2) 1/2))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 1/2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 3/8 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(+.f32 (*.f32 1/2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 3/8 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 5/16 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (pow.f32 u2 2) (*.f32 -98696044010906577398881/5000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 (pow.f32 u2 2) (*.f32 -98696044010906577398881/5000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4))) (+.f32 (*.f32 (pow.f32 u2 2) (*.f32 -98696044010906577398881/5000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 6))))))
(+.f32 (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 u2 314159265359/50000000000) 0)
(*.f32 314159265359/50000000000 u2)
(+.f32 (*.f32 u2 314159265359/50000000000) (-.f32 (*.f32 u2 -314159265359/50000000000) (*.f32 u2 -314159265359/50000000000)))
(*.f32 314159265359/50000000000 u2)
(+.f32 0 (*.f32 u2 314159265359/50000000000))
(*.f32 314159265359/50000000000 u2)
(+.f32 (*.f32 u2 -314159265359/50000000000) (*.f32 314159265359/25000000000 u2))
(*.f32 314159265359/50000000000 u2)
(+.f32 (*.f32 314159265359/25000000000 u2) (*.f32 u2 -314159265359/50000000000))
(*.f32 314159265359/50000000000 u2)
(+.f32 (*.f32 314159265359/25000000000 u2) (-.f32 (*.f32 314159265359/25000000000 u2) (+.f32 (*.f32 u2 314159265359/50000000000) (*.f32 314159265359/25000000000 u2))))
(*.f32 314159265359/50000000000 u2)
(+.f32 (*.f32 314159265359/25000000000 u2) (-.f32 (*.f32 u2 -314159265359/50000000000) (-.f32 (*.f32 u2 -314159265359/50000000000) (*.f32 u2 -314159265359/50000000000))))
(*.f32 314159265359/50000000000 u2)
(+.f32 (-.f32 (*.f32 u2 -314159265359/50000000000) (*.f32 u2 -314159265359/50000000000)) (*.f32 u2 314159265359/50000000000))
(*.f32 314159265359/50000000000 u2)
(+.f32 (+.f32 (*.f32 314159265359/25000000000 u2) (*.f32 314159265359/25000000000 u2)) (-.f32 0 (+.f32 (*.f32 u2 314159265359/50000000000) (*.f32 314159265359/25000000000 u2))))
(*.f32 314159265359/50000000000 u2)
(-.f32 (*.f32 u2 314159265359/50000000000) 0)
(*.f32 314159265359/50000000000 u2)
(-.f32 (*.f32 u2 314159265359/50000000000) (-.f32 (*.f32 u2 -314159265359/50000000000) (*.f32 u2 -314159265359/50000000000)))
(*.f32 314159265359/50000000000 u2)
(-.f32 (*.f32 u2 314159265359/50000000000) (/.f32 (-.f32 u2 u2) 50000000000/314159265359))
(*.f32 314159265359/50000000000 u2)
(-.f32 (*.f32 u2 314159265359/50000000000) (/.f32 (-.f32 u2 u2) -25000000000/314159265359))
(*.f32 314159265359/50000000000 u2)
(-.f32 0 (*.f32 u2 -314159265359/50000000000))
(*.f32 314159265359/50000000000 u2)
(-.f32 (*.f32 u2 -314159265359/50000000000) (/.f32 u2 -25000000000/314159265359))
(-.f32 (*.f32 u2 -314159265359/50000000000) (-.f32 0 (*.f32 314159265359/25000000000 u2)))
(*.f32 314159265359/50000000000 u2)
(-.f32 (*.f32 u2 -314159265359/50000000000) (/.f32 (*.f32 314159265359/25000000000 u2) -1))
(*.f32 314159265359/50000000000 u2)
(-.f32 (*.f32 314159265359/25000000000 u2) (*.f32 u2 314159265359/50000000000))
(*.f32 314159265359/50000000000 u2)
(-.f32 (-.f32 (*.f32 u2 -314159265359/50000000000) (*.f32 u2 -314159265359/50000000000)) (*.f32 u2 -314159265359/50000000000))
(*.f32 314159265359/50000000000 u2)
(-.f32 (+.f32 (*.f32 314159265359/25000000000 u2) (*.f32 314159265359/25000000000 u2)) (+.f32 (*.f32 u2 314159265359/50000000000) (*.f32 314159265359/25000000000 u2)))
(*.f32 314159265359/50000000000 u2)
(-.f32 (+.f32 (*.f32 u2 314159265359/50000000000) (*.f32 314159265359/25000000000 u2)) (*.f32 314159265359/25000000000 u2))
(*.f32 314159265359/50000000000 u2)
(-.f32 (+.f32 (*.f32 u2 314159265359/50000000000) (*.f32 314159265359/25000000000 u2)) (-.f32 (+.f32 (*.f32 314159265359/25000000000 u2) (*.f32 314159265359/25000000000 u2)) (*.f32 314159265359/25000000000 u2)))
(*.f32 314159265359/50000000000 u2)
(-.f32 (/.f32 (+.f32 u2 (+.f32 u2 (+.f32 u2 u2))) 50000000000/314159265359) (/.f32 (+.f32 u2 (+.f32 u2 u2)) 50000000000/314159265359))
(*.f32 314159265359/50000000000 u2)
(-.f32 (/.f32 (/.f32 u2 -1/2) -25000000000/314159265359) (/.f32 (-.f32 (*.f32 u2 -1/2) u2) -25000000000/314159265359))
(-.f32 (/.f32 u2 12500000000/314159265359) (-.f32 (*.f32 314159265359/50000000000 u2) (/.f32 u2 -25000000000/314159265359)))
(-.f32 (/.f32 (-.f32 (*.f32 u2 -1/2) u2) -50000000000/314159265359) (/.f32 u2 100000000000/314159265359))
(-.f32 (-.f32 (/.f32 u2 100000000000/314159265359) (/.f32 u2 -50000000000/314159265359)) (/.f32 u2 100000000000/314159265359))
(-.f32 (/.f32 (+.f32 (*.f32 u2 314159265359/50000000000) (*.f32 314159265359/25000000000 u2)) 2) (/.f32 u2 100000000000/314159265359))
(*.f32 314159265359/50000000000 u2)
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(/.f32 (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 1 (*.f32 -1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 1 (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(neg.f32 (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))

localize6.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize50.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(cos.f32 (*.f32 314159265359/50000000000 u2))
✓0.1b
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.4b
(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 22 to 14 computations (36.4% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

6 calls:

TimeVariablePointExpression
0.0ms
u1
@0
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.0ms
u1
@-inf
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.0ms
u2
@0
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.0ms
u2
@inf
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.0ms
u1
@inf
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))

rewrite76.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1176×rational.json-1
1176×rational.json-2
1176×rational.json-3
1170×rational.json-4
918×rational.json-simplify-63
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
15421
214921
366921
4491721
Stop Event
1×node limit
Counts
1 → 121
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
Outputs
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simplify85.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1252×rational.json-simplify-21
1094×rational.json-simplify-23
1030×rational.json-simplify-1
982×rational.json-simplify-35
802×rational.json-simplify-33
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02822897
19172897
238032897
Stop Event
1×node limit
Counts
133 → 135
Calls
Call 1
Inputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 u1))))
(+.f32 (sqrt.f32 u1) (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 u1))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 u1)))))
(+.f32 (sqrt.f32 u1) (+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 6) (sqrt.f32 u1))) (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 u1))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 u1))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
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(-.f32 (*.f32 1/2 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))) (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1/2))
(-.f32 (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))) (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))))
(-.f32 (+.f32 (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2)) (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2)))
(-.f32 (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0))) (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (+.f32 (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))) (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (+.f32 (-.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (neg.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))) (-.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (neg.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))) (+.f32 (-.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (neg.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))))
(-.f32 (+.f32 (+.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2)) (+.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2))) (+.f32 (+.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))))
(-.f32 (+.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2)) (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2))) (+.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))))
(-.f32 (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 2)) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 2))) (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 2)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))))
(-.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) 2) 2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) 2) 2))) (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) 2) 2)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))))
(-.f32 (+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))) (*.f32 1/2 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))) (+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))) (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1/2)))
(-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2)) (+.f32 (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2))) (+.f32 (+.f32 (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2)) (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2))))
(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (sqrt.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(/.f32 1 (/.f32 1 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 -1 (/.f32 1 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) -1)
(/.f32 (*.f32 (sqrt.f32 u1) 2) (/.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1/2))
(/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 (/.f32 1 (sqrt.f32 u1)) 1/2))
(/.f32 1/2 (/.f32 (/.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 u1)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 1/2 (/.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) 2)))
(/.f32 1/2 (/.f32 (/.f32 1 (sqrt.f32 u1)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(/.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(/.f32 1/2 (/.f32 -1 (-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/2) (/.f32 1/2 (sqrt.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) 1/2) (/.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (-.f32 (*.f32 (sqrt.f32 u1) 3) (-.f32 (*.f32 (sqrt.f32 u1) 2) (neg.f32 (*.f32 (sqrt.f32 u1) 2)))) (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (-.f32 (*.f32 (sqrt.f32 u1) 1/2) (*.f32 1/2 (*.f32 (sqrt.f32 u1) 3))) (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (-.f32 (+.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) 2) (*.f32 (sqrt.f32 u1) 3)) (+.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) 2) (*.f32 (*.f32 (sqrt.f32 u1) 2) 2))) (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (-.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (-.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (-.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/2) (*.f32 1/2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (-.f32 (+.f32 (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 2) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)) (+.f32 (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 2) (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 2))) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (-.f32 (neg.f32 (*.f32 (sqrt.f32 u1) 3)) (neg.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) 2))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (-.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)) (neg.f32 (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 2))) (/.f32 1 (sqrt.f32 u1)))
(neg.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
Outputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 u1))))
(+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u2 2) (*.f32 -98696044010906577398881/5000000000000000000000 (sqrt.f32 u1))))
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))))
(+.f32 (sqrt.f32 u1) (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 u1))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 u1)))))
(+.f32 (*.f32 (pow.f32 u2 2) (*.f32 -98696044010906577398881/5000000000000000000000 (sqrt.f32 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u2 4) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt.f32 u1)))))
(+.f32 (sqrt.f32 u1) (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))) (*.f32 (sqrt.f32 u1) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))) (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(+.f32 (sqrt.f32 u1) (+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 6) (sqrt.f32 u1))) (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 u1))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 u1))))))
(+.f32 (*.f32 (pow.f32 u2 6) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt.f32 u1))) (+.f32 (*.f32 (pow.f32 u2 2) (*.f32 -98696044010906577398881/5000000000000000000000 (sqrt.f32 u1))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u2 4) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt.f32 u1))))))
(+.f32 (sqrt.f32 u1) (+.f32 (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))) (*.f32 (sqrt.f32 u1) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 u1) (pow.f32 u2 6)))))
(+.f32 (sqrt.f32 u1) (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))) (*.f32 (pow.f32 u2 6) (*.f32 (sqrt.f32 u1) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 0)
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) 0))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (-.f32 (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sqrt.f32 u1) 0)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (-.f32 (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (-.f32 (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 -1 (/.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) 0)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 -1 (/.f32 1 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 -1 (/.f32 (/.f32 1 (sqrt.f32 u1)) 0)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 -1 (/.f32 1 (*.f32 (sqrt.f32 u1) 0))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 0 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
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(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 2)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) 2) 2)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (*.f32 1/2 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))) (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1/2))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))) (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (+.f32 (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2)) (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0))) (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (+.f32 (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))) (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (+.f32 (-.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (neg.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))) (-.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (neg.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))) (+.f32 (-.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (neg.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (+.f32 (+.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2)) (+.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2))) (+.f32 (+.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (+.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2)) (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2))) (+.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 2)) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 2))) (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 2)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) 2) 2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) 2) 2))) (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) 2) 2)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))) (*.f32 1/2 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))) (+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))) (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1/2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2)) (+.f32 (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2))) (+.f32 (+.f32 (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2)) (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 1 (/.f32 1 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 -1 (/.f32 1 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 -1 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) -1)
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (*.f32 (sqrt.f32 u1) 2) (/.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1/2))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 (/.f32 1 (sqrt.f32 u1)) 1/2))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 1/2 (/.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) 2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 1/2 (/.f32 (/.f32 1 (sqrt.f32 u1)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 1/2 (/.f32 -1 (-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/2) (/.f32 1/2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (*.f32 (sqrt.f32 u1) 1/2) (/.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (-.f32 (*.f32 (sqrt.f32 u1) 3) (-.f32 (*.f32 (sqrt.f32 u1) 2) (neg.f32 (*.f32 (sqrt.f32 u1) 2)))) (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (-.f32 (*.f32 (sqrt.f32 u1) 1/2) (*.f32 1/2 (*.f32 (sqrt.f32 u1) 3))) (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (-.f32 (+.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) 2) (*.f32 (sqrt.f32 u1) 3)) (+.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) 2) (*.f32 (*.f32 (sqrt.f32 u1) 2) 2))) (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (-.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (-.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))) (/.f32 -1 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (-.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/2) (*.f32 1/2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))) (/.f32 -1 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (-.f32 (+.f32 (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 2) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)) (+.f32 (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 2) (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 2))) (/.f32 -1 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (-.f32 (neg.f32 (*.f32 (sqrt.f32 u1) 3)) (neg.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) 2))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (-.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)) (neg.f32 (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 2))) (/.f32 1 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(neg.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))

localize71.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f32 u1 (-.f32 1 u1))
✓0.2b
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (cos.f32 (/.f32 1 (*.f32 (/.f32 1 u2) 50000000000/314159265359)))))
✓0.3b
(/.f32 1 (*.f32 (/.f32 1 u2) 50000000000/314159265359))
✓0.5b
(*.f32 (/.f32 1 u2) 50000000000/314159265359)
Compiler

Compiled 71 to 56 computations (21.1% saved)

series2.0ms (0%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
0.0ms
u2
@0
(*.f32 (/.f32 1 u2) 50000000000/314159265359)
0.0ms
u2
@inf
(*.f32 (/.f32 1 u2) 50000000000/314159265359)
0.0ms
u1
@0
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (cos.f32 (/.f32 1 (*.f32 (/.f32 1 u2) 50000000000/314159265359)))))
0.0ms
u2
@-inf
(*.f32 (/.f32 1 u2) 50000000000/314159265359)
0.0ms
u1
@inf
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (cos.f32 (/.f32 1 (*.f32 (/.f32 1 u2) 50000000000/314159265359)))))

rewrite79.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1012×rational.json-simplify-3
904×rational.json-simplify-12
770×rational.json-1
770×rational.json-2
770×rational.json-4
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01677
110747
240647
3206047
Stop Event
1×node limit
Counts
3 → 251
Calls
Call 1
Inputs
(*.f32 (/.f32 1 u2) 50000000000/314159265359)
(/.f32 1 (*.f32 (/.f32 1 u2) 50000000000/314159265359))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (cos.f32 (/.f32 1 (*.f32 (/.f32 1 u2) 50000000000/314159265359)))))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 u2 314159265359/50000000000))))))))

simplify172.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1186×rational.json-simplify-21
1146×rational.json-simplify-1
1066×rational.json-simplify-23
558×rational.json-simplify-50
516×rational.json-simplify-24
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05448811
116298237
262098237
Stop Event
1×node limit
Counts
295 → 301
Calls
Call 1
Inputs
(/.f32 50000000000/314159265359 u2)
(/.f32 50000000000/314159265359 u2)
(/.f32 50000000000/314159265359 u2)
(/.f32 50000000000/314159265359 u2)
(/.f32 50000000000/314159265359 u2)
(/.f32 50000000000/314159265359 u2)
(/.f32 50000000000/314159265359 u2)
(/.f32 50000000000/314159265359 u2)
(/.f32 50000000000/314159265359 u2)
(/.f32 50000000000/314159265359 u2)
(/.f32 50000000000/314159265359 u2)
(/.f32 50000000000/314159265359 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
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(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
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(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
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(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
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(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
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(+.f32 (*.f32 (/.f32 100000000000/314159265359 u2) 2) (-.f32 0 (*.f32 (/.f32 1 u2) 150000000000/314159265359)))
(+.f32 (*.f32 (/.f32 50000000000/314159265359 u2) 1/2) (/.f32 25000000000/314159265359 u2))
(+.f32 (/.f32 (/.f32 2 u2) 314159265359/50000000000) (/.f32 (/.f32 -1 u2) 314159265359/50000000000))
(-.f32 (/.f32 50000000000/314159265359 u2) 0)
(-.f32 (/.f32 50000000000/314159265359 u2) (/.f32 0 u2))
(-.f32 0 (/.f32 -50000000000/314159265359 u2))
(-.f32 0 (*.f32 -1 (/.f32 50000000000/314159265359 u2)))
(-.f32 (/.f32 -50000000000/314159265359 u2) (*.f32 -1 (/.f32 100000000000/314159265359 u2)))
(-.f32 (/.f32 -50000000000/314159265359 u2) (*.f32 -50000000000/314159265359 (/.f32 2 u2)))
(-.f32 (/.f32 100000000000/314159265359 u2) (/.f32 50000000000/314159265359 u2))
(-.f32 (*.f32 (/.f32 100000000000/314159265359 u2) 2) (*.f32 (/.f32 1 u2) 150000000000/314159265359))
(-.f32 (*.f32 (/.f32 1 u2) 150000000000/314159265359) (/.f32 100000000000/314159265359 u2))
(-.f32 (*.f32 (*.f32 2 (/.f32 2 u2)) 50000000000/314159265359) (*.f32 (/.f32 1 u2) 150000000000/314159265359))
(-.f32 (*.f32 (*.f32 (/.f32 1 u2) 150000000000/314159265359) 1/2) (/.f32 25000000000/314159265359 u2))
(-.f32 (*.f32 (*.f32 (/.f32 100000000000/314159265359 u2) 2) 1/2) (/.f32 50000000000/314159265359 u2))
(/.f32 1 (*.f32 u2 314159265359/50000000000))
(/.f32 (/.f32 1 u2) 314159265359/50000000000)
(/.f32 50000000000/314159265359 u2)
(/.f32 (/.f32 50000000000/314159265359 u2) 1)
(/.f32 (/.f32 1/2 u2) 314159265359/100000000000)
(/.f32 -1 (/.f32 (neg.f32 u2) 50000000000/314159265359))
(/.f32 (/.f32 -50000000000/314159265359 u2) -1)
(/.f32 (/.f32 -1 u2) -314159265359/50000000000)
(/.f32 (/.f32 25000000000/314159265359 u2) 1/2)
(/.f32 -50000000000/314159265359 (neg.f32 u2))
(/.f32 100000000000/314159265359 (+.f32 u2 u2))
(/.f32 25000000000/314159265359 (*.f32 u2 1/2))
(/.f32 (-.f32 (/.f32 (/.f32 -50000000000/314159265359 u2) 1/2) (/.f32 -50000000000/314159265359 u2)) -1)
(/.f32 (-.f32 (+.f32 (/.f32 -50000000000/314159265359 u2) (/.f32 -50000000000/314159265359 u2)) (/.f32 -50000000000/314159265359 u2)) -1)
(neg.f32 (/.f32 -50000000000/314159265359 u2))
(+.f32 (*.f32 u2 314159265359/50000000000) 0)
(+.f32 (*.f32 u2 314159265359/50000000000) (-.f32 u2 u2))
(+.f32 (*.f32 u2 314159265359/50000000000) (+.f32 0 (-.f32 u2 u2)))
(+.f32 (*.f32 u2 314159265359/50000000000) (-.f32 (*.f32 u2 314159265359/100000000000) (*.f32 u2 314159265359/100000000000)))
(+.f32 (*.f32 u2 314159265359/50000000000) (-.f32 0 (-.f32 u2 u2)))
(+.f32 0 (*.f32 u2 314159265359/50000000000))
(+.f32 (*.f32 u2 314159265359/100000000000) (*.f32 u2 314159265359/100000000000))
(+.f32 (/.f32 (neg.f32 u2) 50000000000/314159265359) (*.f32 u2 314159265359/25000000000))
(+.f32 (*.f32 u2 314159265359/25000000000) (/.f32 (neg.f32 u2) 50000000000/314159265359))
(+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 314159265359/50000000000 (neg.f32 u2)))
(+.f32 (-.f32 u2 u2) (*.f32 u2 314159265359/50000000000))
(+.f32 (*.f32 2 (*.f32 u2 314159265359/25000000000)) (-.f32 0 (*.f32 (*.f32 u2 314159265359/50000000000) 3)))
(-.f32 (*.f32 u2 314159265359/50000000000) 0)
(-.f32 (*.f32 u2 314159265359/50000000000) (-.f32 u2 u2))
(-.f32 0 (/.f32 (neg.f32 u2) 50000000000/314159265359))
(-.f32 0 (*.f32 314159265359/50000000000 (neg.f32 u2)))
(-.f32 0 (*.f32 -1 (*.f32 u2 314159265359/50000000000)))
(-.f32 0 (*.f32 -2 (*.f32 u2 314159265359/100000000000)))
(-.f32 (*.f32 u2 314159265359/100000000000) (*.f32 1/2 (/.f32 (neg.f32 u2) 50000000000/314159265359)))
(-.f32 (*.f32 u2 314159265359/100000000000) (*.f32 314159265359/100000000000 (neg.f32 u2)))
(-.f32 (/.f32 (neg.f32 u2) 50000000000/314159265359) (*.f32 -1 (*.f32 u2 314159265359/25000000000)))
(-.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 314159265359/50000000000))
(-.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 3) (*.f32 u2 314159265359/25000000000))
(-.f32 (*.f32 2 (*.f32 u2 314159265359/25000000000)) (*.f32 (*.f32 u2 314159265359/50000000000) 3))
(-.f32 (+.f32 (*.f32 u2 314159265359/100000000000) (*.f32 u2 314159265359/50000000000)) (*.f32 u2 314159265359/100000000000))
(-.f32 (*.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 3) 1/2) (*.f32 u2 314159265359/100000000000))
(-.f32 (*.f32 (+.f32 u2 (*.f32 u2 3)) 314159265359/50000000000) (*.f32 314159265359/50000000000 (*.f32 u2 3)))
(-.f32 (*.f32 (*.f32 u2 3) 314159265359/100000000000) (*.f32 u2 314159265359/100000000000))
(-.f32 (*.f32 (+.f32 u2 (*.f32 u2 3)) 314159265359/100000000000) (*.f32 u2 314159265359/50000000000))
(*.f32 1 (*.f32 u2 314159265359/50000000000))
(*.f32 u2 314159265359/50000000000)
(*.f32 (*.f32 u2 314159265359/50000000000) 1)
(*.f32 2 (*.f32 u2 314159265359/100000000000))
(*.f32 1/2 (*.f32 u2 314159265359/25000000000))
(*.f32 (*.f32 u2 314159265359/100000000000) 2)
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(*.f32 (/.f32 (neg.f32 u2) 50000000000/314159265359) -1)
(*.f32 (*.f32 u2 1/2) 314159265359/25000000000)
(*.f32 314159265359/100000000000 (+.f32 u2 u2))
(*.f32 4 (/.f32 1/2 (/.f32 100000000000/314159265359 u2)))
(*.f32 4 (-.f32 (*.f32 u2 314159265359/100000000000) (/.f32 1/2 (/.f32 100000000000/314159265359 u2))))
(*.f32 (*.f32 u2 314159265359/25000000000) 1/2)
(*.f32 (+.f32 u2 u2) 314159265359/100000000000)
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(*.f32 (-.f32 (/.f32 (neg.f32 u2) 50000000000/314159265359) (*.f32 u2 314159265359/50000000000)) -1/2)
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(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 0 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000))) (/.f32 (-.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1 0)))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000))) (/.f32 0 (/.f32 2 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 0 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 0))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 1 (/.f32 0 (/.f32 2 (cos.f32 (*.f32 u2 314159265359/50000000000))))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 0))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) 0))
(-.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(-.f32 0 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(-.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(-.f32 (*.f32 0 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(-.f32 (*.f32 0 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 1 (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3)))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(-.f32 (+.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 0)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(-.f32 (+.f32 0 (*.f32 0 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(-.f32 (+.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 0) (*.f32 0 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(-.f32 (+.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 0) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3)))
(-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3)))
(-.f32 (*.f32 0 (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3)))
(-.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (cos.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3)))
(-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3)) 1/2) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/2)) (*.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 0) -1) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) -1) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(-.f32 (*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(-.f32 (*.f32 0 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))) (*.f32 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/2)))
(-.f32 (*.f32 0 (neg.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/2))) (*.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(*.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000))) 1)
(*.f32 2 (/.f32 1/2 (/.f32 (/.f32 1 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 2 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000))) (/.f32 1/2 (/.f32 (/.f32 1 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/2))
(*.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(*.f32 -1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(*.f32 (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) -1)
(*.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2)) 1/2)
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) (/.f32 1 (/.f32 1/2 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) (+.f32 0 (/.f32 1 (/.f32 1/2 (cos.f32 (*.f32 u2 314159265359/50000000000))))))
(*.f32 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (neg.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/2)))
(*.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/2)) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (/.f32 1/2 (/.f32 2 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (-.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/2) (/.f32 1/2 (/.f32 2 (cos.f32 (*.f32 u2 314159265359/50000000000))))))
(*.f32 (-.f32 (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (cos.f32 (*.f32 u2 314159265359/50000000000))) (/.f32 1/2 (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1/2 (/.f32 -1 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(*.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))) -1/2)
(neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(neg.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(neg.f32 (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 u2 314159265359/50000000000))))
Outputs
(/.f32 50000000000/314159265359 u2)
(/.f32 50000000000/314159265359 u2)
(/.f32 50000000000/314159265359 u2)
(/.f32 50000000000/314159265359 u2)
(/.f32 50000000000/314159265359 u2)
(/.f32 50000000000/314159265359 u2)
(/.f32 50000000000/314159265359 u2)
(/.f32 50000000000/314159265359 u2)
(/.f32 50000000000/314159265359 u2)
(/.f32 50000000000/314159265359 u2)
(/.f32 50000000000/314159265359 u2)
(/.f32 50000000000/314159265359 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000))) (+.f32 (/.f32 -1/2 (/.f32 (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (cos.f32 (*.f32 u2 314159265359/50000000000))) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) u1))) (/.f32 -1/2 (/.f32 (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (cos.f32 (*.f32 u2 314159265359/50000000000))) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))))))
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(*.f32 -1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) -1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2)) 1/2)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) (/.f32 1 (/.f32 1/2 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) (+.f32 0 (/.f32 1 (/.f32 1/2 (cos.f32 (*.f32 u2 314159265359/50000000000))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (neg.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/2)) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (/.f32 1/2 (/.f32 2 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (-.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/2) (/.f32 1/2 (/.f32 2 (cos.f32 (*.f32 u2 314159265359/50000000000))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (-.f32 (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (cos.f32 (*.f32 u2 314159265359/50000000000))) (/.f32 1/2 (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1/2 (/.f32 -1 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) -2))
(*.f32 (*.f32 -1/2 (cos.f32 (*.f32 u2 314159265359/50000000000))) (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))) -1/2)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(neg.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(neg.f32 (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))

localize150.0ms (1.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f32 u1 (-.f32 1 u1))
✓0.3b
(*.f32 (/.f32 u1 (-.f32 1 u1)) 6)
0.4b
(*.f32 314159265359/50000000000 u2)
✓0.9b
(-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (*.f32 (/.f32 u1 (-.f32 1 u1)) 6))
Compiler

Compiled 168 to 98 computations (41.7% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
u1
@0
(-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (*.f32 (/.f32 u1 (-.f32 1 u1)) 6))
0.0ms
u1
@inf
(*.f32 (/.f32 u1 (-.f32 1 u1)) 6)
0.0ms
u1
@inf
(-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (*.f32 (/.f32 u1 (-.f32 1 u1)) 6))
0.0ms
u1
@0
(*.f32 (/.f32 u1 (-.f32 1 u1)) 6)
0.0ms
u1
@-inf
(-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (*.f32 (/.f32 u1 (-.f32 1 u1)) 6))

rewrite66.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1358×rational.json-simplify-6
1114×rational.json-simplify-5
1018×rational.json-simplify-3
1008×rational.json-simplify-21
818×rational.json-simplify-12
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01162
17338
226938
3130638
Stop Event
1×node limit
Counts
2 → 240
Calls
Call 1
Inputs
(-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (*.f32 (/.f32 u1 (-.f32 1 u1)) 6))
(*.f32 (/.f32 u1 (-.f32 1 u1)) 6)
Outputs
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simplify103.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
708×rational.json-simplify-63
694×rational.json-simplify-1
578×rational.json-simplify-2
560×rational.json-simplify-3
536×rational.json-simplify-12
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05438662
121066688
Stop Event
1×node limit
Counts
264 → 327
Calls
Call 1
Inputs
(*.f32 2 u1)
(+.f32 (*.f32 2 u1) (*.f32 2 (pow.f32 u1 2)))
(+.f32 (*.f32 2 u1) (+.f32 (*.f32 2 (pow.f32 u1 3)) (*.f32 2 (pow.f32 u1 2))))
(+.f32 (*.f32 2 u1) (+.f32 (*.f32 2 (pow.f32 u1 3)) (+.f32 (*.f32 2 (pow.f32 u1 2)) (*.f32 2 (pow.f32 u1 4)))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 u1))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 u1)) (*.f32 2 (/.f32 1 (pow.f32 u1 2))))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 u1)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 u1 3))) (*.f32 2 (/.f32 1 (pow.f32 u1 2)))))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 u1))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 u1)) (*.f32 2 (/.f32 1 (pow.f32 u1 2))))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 u1)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 u1 3))) (*.f32 2 (/.f32 1 (pow.f32 u1 2)))))))
(*.f32 6 u1)
(+.f32 (*.f32 6 (pow.f32 u1 2)) (*.f32 6 u1))
(+.f32 (*.f32 6 (pow.f32 u1 2)) (+.f32 (*.f32 6 (pow.f32 u1 3)) (*.f32 6 u1)))
(+.f32 (*.f32 6 (pow.f32 u1 2)) (+.f32 (*.f32 6 (pow.f32 u1 4)) (+.f32 (*.f32 6 (pow.f32 u1 3)) (*.f32 6 u1))))
-6
(neg.f32 (+.f32 6 (*.f32 6 (/.f32 1 u1))))
(neg.f32 (+.f32 (*.f32 6 (/.f32 1 u1)) (+.f32 6 (*.f32 6 (/.f32 1 (pow.f32 u1 2))))))
(neg.f32 (+.f32 (*.f32 6 (/.f32 1 u1)) (+.f32 6 (+.f32 (*.f32 6 (/.f32 1 (pow.f32 u1 2))) (*.f32 6 (/.f32 1 (pow.f32 u1 3)))))))
-6
(neg.f32 (+.f32 6 (*.f32 6 (/.f32 1 u1))))
(neg.f32 (+.f32 (*.f32 6 (/.f32 1 u1)) (+.f32 6 (*.f32 6 (/.f32 1 (pow.f32 u1 2))))))
(neg.f32 (+.f32 (*.f32 6 (/.f32 1 u1)) (+.f32 6 (+.f32 (*.f32 6 (/.f32 1 (pow.f32 u1 2))) (*.f32 6 (/.f32 1 (pow.f32 u1 3)))))))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (*.f32 (/.f32 u1 (-.f32 1 u1)) -6))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) -6) (*.f32 8 (/.f32 0 (-.f32 1 u1)))))
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(/.f32 (/.f32 (-.f32 (*.f32 u1 6) (*.f32 u1 8)) -1) (-.f32 1 u1))
(/.f32 (/.f32 (-.f32 (*.f32 u1 -6) (*.f32 u1 -8)) -1) (+.f32 u1 -1))
(neg.f32 (/.f32 (+.f32 u1 u1) (+.f32 u1 -1)))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 (+.f32 u1 u1) (+.f32 u1 -1)))
(+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6) 0)
(+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6) (+.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 u1 (+.f32 u1 -1))))
(+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6) (-.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) 8) (*.f32 (/.f32 u1 (+.f32 u1 -1)) 8)))
(+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6) (*.f32 6 (/.f32 0 (-.f32 1 u1))))
(+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6) (+.f32 0 (*.f32 6 (/.f32 0 (-.f32 1 u1)))))
(+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6) (-.f32 0 (*.f32 6 (/.f32 0 (-.f32 1 u1)))))
(+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6) (-.f32 (+.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 u1 (+.f32 u1 -1))) (*.f32 6 (/.f32 0 (-.f32 1 u1)))))
(+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6) (-.f32 (*.f32 6 (/.f32 0 (-.f32 1 u1))) (*.f32 6 (/.f32 0 (-.f32 1 u1)))))
(+.f32 0 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 16) (-.f32 (/.f32 (+.f32 u1 u1) (+.f32 u1 -1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 8)))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 14) (*.f32 (/.f32 u1 (+.f32 u1 -1)) 8))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) -6) (*.f32 (/.f32 u1 (-.f32 1 u1)) 12))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 12) (*.f32 (/.f32 u1 (-.f32 1 u1)) -6))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 12) (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 12) (+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6) (*.f32 (/.f32 u1 (-.f32 1 u1)) 12))))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 12) (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) -6) (*.f32 6 (/.f32 0 (-.f32 1 u1)))))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 12) (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) -6) (+.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 u1 (+.f32 u1 -1)))))
(+.f32 (+.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 u1 (+.f32 u1 -1))) (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6))
(+.f32 (*.f32 6 (/.f32 0 (-.f32 1 u1))) (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6))
(+.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 12) (*.f32 (/.f32 u1 (-.f32 1 u1)) 12)) (-.f32 0 (+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6) (*.f32 (/.f32 u1 (-.f32 1 u1)) 12))))
(-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2))
(-.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6) 0)
(-.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6) (/.f32 0 (-.f32 1 u1)))
(-.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6) (+.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 u1 (+.f32 u1 -1))))
(-.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6) (*.f32 6 (/.f32 0 (-.f32 1 u1))))
(-.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6) (/.f32 0 (-.f32 1/6 (/.f32 u1 6))))
(-.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6) (/.f32 (-.f32 u1 u1) (-.f32 1/6 (/.f32 u1 6))))
(-.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6) (/.f32 (/.f32 0 (-.f32 1 u1)) 1/6))
(-.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6) (/.f32 (+.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 u1 (+.f32 u1 -1))) 1/6))
(-.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6) (/.f32 (*.f32 (+.f32 u1 u1) 0) 1/6))
(-.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6) (/.f32 0 (-.f32 (/.f32 u1 6) 1/6)))
(-.f32 0 (*.f32 (/.f32 u1 (-.f32 1 u1)) -6))
(-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 14) (*.f32 (/.f32 u1 (-.f32 1 u1)) 8))
(-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) -6) (-.f32 0 (*.f32 (/.f32 u1 (-.f32 1 u1)) 12)))
(-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) -6) (/.f32 (+.f32 u1 u1) (-.f32 (/.f32 u1 6) 1/6)))
(-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) -6) (/.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 12) -1))
(-.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) 8) (/.f32 -14 (/.f32 (-.f32 1 u1) u1)))
(-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 12) (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6))
(-.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (*.f32 (/.f32 u1 (-.f32 1 u1)) 16)) (-.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 16) (*.f32 (/.f32 u1 (-.f32 1 u1)) 16)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 14)))
(-.f32 (+.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 u1 (+.f32 u1 -1))) (*.f32 (/.f32 u1 (-.f32 1 u1)) -6))
(-.f32 (-.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) 8) (*.f32 (/.f32 u1 (+.f32 u1 -1)) 8)) (*.f32 (/.f32 u1 (-.f32 1 u1)) -6))
(-.f32 (+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6) (*.f32 (/.f32 u1 (-.f32 1 u1)) 12)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 12))
(-.f32 (+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6) (*.f32 (/.f32 u1 (-.f32 1 u1)) 12)) (-.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 12) (*.f32 (/.f32 u1 (-.f32 1 u1)) 12)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 12)))
(-.f32 (*.f32 8 (/.f32 0 (-.f32 1 u1))) (*.f32 (/.f32 u1 (-.f32 1 u1)) -6))
(-.f32 (*.f32 6 (/.f32 0 (-.f32 1 u1))) (*.f32 (/.f32 u1 (-.f32 1 u1)) -6))
(-.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 12) (*.f32 (/.f32 u1 (-.f32 1 u1)) 12)) (+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6) (*.f32 (/.f32 u1 (-.f32 1 u1)) 12)))
(-.f32 (/.f32 0 (-.f32 1/6 (/.f32 u1 6))) (*.f32 (/.f32 u1 (-.f32 1 u1)) -6))
(-.f32 (/.f32 (+.f32 u1 u1) (-.f32 1/6 (/.f32 u1 6))) (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6))
(-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1/6 (/.f32 u1 6))) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1/6 (/.f32 u1 6))))
(-.f32 (/.f32 (/.f32 0 (-.f32 1 u1)) 1/6) (*.f32 (/.f32 u1 (-.f32 1 u1)) -6))
(-.f32 (/.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 2) 1/6) (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6))
(-.f32 (/.f32 (*.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 2) 2) 1/6) (/.f32 (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)) 1/6))
(-.f32 (/.f32 0 (-.f32 (/.f32 u1 6) 1/6)) (*.f32 (/.f32 u1 (-.f32 1 u1)) -6))
(-.f32 (/.f32 (-.f32 (neg.f32 u1) u1) (-.f32 (/.f32 u1 6) 1/6)) (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6))
(/.f32 u1 (-.f32 1/6 (/.f32 u1 6)))
(/.f32 u1 (*.f32 1 (-.f32 1/6 (/.f32 u1 6))))
(/.f32 u1 (*.f32 (-.f32 1 u1) 1/6))
(/.f32 u1 (*.f32 -1 (-.f32 (/.f32 u1 6) 1/6)))
(/.f32 u1 (neg.f32 (-.f32 (/.f32 u1 6) 1/6)))
(/.f32 1 (/.f32 (-.f32 1 u1) (*.f32 u1 6)))
(/.f32 1 (*.f32 (/.f32 1 u1) (-.f32 1/6 (/.f32 u1 6))))
(/.f32 1 (*.f32 (/.f32 (-.f32 1 u1) u1) 1/6))
(/.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)
(/.f32 6 (/.f32 (-.f32 1 u1) u1))
(/.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6) 1)
(/.f32 (neg.f32 u1) (-.f32 (/.f32 u1 6) 1/6))
(/.f32 (neg.f32 u1) (*.f32 -1 (-.f32 1/6 (/.f32 u1 6))))
(/.f32 (neg.f32 u1) (*.f32 (+.f32 u1 -1) 1/6))
(/.f32 (neg.f32 u1) (*.f32 1 (-.f32 (/.f32 u1 6) 1/6)))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 1/6 (/.f32 u1 6))))
(/.f32 (+.f32 u1 u1) (/.f32 (-.f32 (/.f32 u1 -1/2) -2) 6))
(/.f32 (+.f32 u1 u1) (*.f32 (-.f32 (/.f32 u1 -1/2) -2) 1/6))
(/.f32 1/2 (/.f32 (/.f32 (-.f32 1 u1) (+.f32 u1 u1)) 6))
(/.f32 1/2 (/.f32 (-.f32 1 u1) (*.f32 u1 12)))
(/.f32 1/2 (*.f32 (/.f32 1/2 u1) (-.f32 1/6 (/.f32 u1 6))))
(/.f32 1/2 (*.f32 (/.f32 (-.f32 1 u1) (+.f32 u1 u1)) 1/6))
(/.f32 (/.f32 1/2 (-.f32 1 u1)) (/.f32 (/.f32 1/2 u1) 6))
(/.f32 (/.f32 1/2 (-.f32 1 u1)) (*.f32 (/.f32 1/2 u1) 1/6))
(/.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) -6) -1)
(/.f32 -1 (/.f32 (-.f32 1 u1) (*.f32 u1 -6)))
(/.f32 -1 (/.f32 (/.f32 (+.f32 u1 -1) u1) 6))
(/.f32 -1 (/.f32 (-.f32 (/.f32 u1 1/2) 2) (*.f32 u1 12)))
(/.f32 -1 (/.f32 (+.f32 u1 -1) (neg.f32 (*.f32 u1 -6))))
(/.f32 -1 (*.f32 (/.f32 (+.f32 u1 -1) u1) 1/6))
(/.f32 (/.f32 u1 (+.f32 u1 -1)) -1/6)
(/.f32 (/.f32 3 (-.f32 1 u1)) (/.f32 1/2 u1))
(/.f32 (/.f32 1 (-.f32 1 u1)) (/.f32 (/.f32 1 u1) 6))
(/.f32 (/.f32 1 (-.f32 1 u1)) (/.f32 1 (*.f32 u1 6)))
(/.f32 (/.f32 1 (-.f32 1 u1)) (/.f32 1 (neg.f32 (*.f32 u1 -6))))
(/.f32 -6 (/.f32 (+.f32 u1 -1) u1))
(/.f32 (*.f32 u1 6) (-.f32 1 u1))
(/.f32 (*.f32 u1 -6) (+.f32 u1 -1))
(/.f32 -1/2 (/.f32 (+.f32 u1 -1) (*.f32 u1 12)))
(/.f32 (-.f32 (neg.f32 u1) u1) (*.f32 (-.f32 (/.f32 u1 1/2) 2) 1/6))
(/.f32 (/.f32 1/2 (+.f32 u1 -1)) (/.f32 (/.f32 -1 (+.f32 u1 u1)) 6))
(/.f32 3 (/.f32 (-.f32 1 u1) (+.f32 u1 u1)))
(/.f32 (/.f32 1/2 (/.f32 (-.f32 1 u1) (*.f32 u1 6))) 1/2)
(/.f32 (/.f32 u1 (-.f32 (/.f32 u1 -1/2) -2)) 1/12)
(/.f32 (*.f32 u1 12) (-.f32 (/.f32 u1 -1/2) -2))
(/.f32 (neg.f32 (*.f32 u1 6)) (+.f32 u1 -1))
(/.f32 (neg.f32 (*.f32 u1 -6)) (-.f32 1 u1))
(/.f32 (-.f32 0 (*.f32 u1 6)) (+.f32 u1 -1))
(/.f32 (-.f32 0 (*.f32 u1 -6)) (-.f32 1 u1))
(/.f32 (/.f32 1 (-.f32 1/6 (/.f32 u1 6))) (/.f32 1 u1))
(/.f32 (/.f32 u1 1/6) (-.f32 1 u1))
(/.f32 (/.f32 (neg.f32 u1) 1/6) (+.f32 u1 -1))
(/.f32 (/.f32 (+.f32 u1 u1) 1/6) (-.f32 (/.f32 u1 -1/2) -2))
(/.f32 (/.f32 (-.f32 (neg.f32 u1) u1) 1/6) (-.f32 (/.f32 u1 1/2) 2))
(/.f32 (/.f32 (/.f32 u1 (-.f32 (/.f32 u1 -1/2) -2)) 1/6) 1/2)
(/.f32 (/.f32 (*.f32 u1 6) 1/2) (-.f32 (/.f32 u1 -1/2) -2))
(neg.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) -6))
Outputs
(*.f32 2 u1)
(+.f32 u1 u1)
(+.f32 (*.f32 2 u1) (*.f32 2 (pow.f32 u1 2)))
(*.f32 2 (+.f32 u1 (pow.f32 u1 2)))
(+.f32 (*.f32 2 u1) (+.f32 (*.f32 2 (pow.f32 u1 3)) (*.f32 2 (pow.f32 u1 2))))
(+.f32 (*.f32 2 u1) (+.f32 (*.f32 2 (pow.f32 u1 2)) (*.f32 2 (pow.f32 u1 3))))
(+.f32 (*.f32 2 (+.f32 (pow.f32 u1 3) (pow.f32 u1 2))) (+.f32 u1 u1))
(+.f32 (*.f32 2 u1) (+.f32 (*.f32 2 (pow.f32 u1 3)) (+.f32 (*.f32 2 (pow.f32 u1 2)) (*.f32 2 (pow.f32 u1 4)))))
(+.f32 (*.f32 2 (pow.f32 u1 2)) (+.f32 (+.f32 u1 u1) (*.f32 2 (+.f32 (pow.f32 u1 3) (pow.f32 u1 4)))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 u1))))
(neg.f32 (+.f32 2 (/.f32 2 u1)))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 u1)) (*.f32 2 (/.f32 1 (pow.f32 u1 2))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 u1) (/.f32 2 (pow.f32 u1 2)))))
(neg.f32 (+.f32 (/.f32 2 (pow.f32 u1 2)) (+.f32 2 (/.f32 2 u1))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 u1)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 u1 3))) (*.f32 2 (/.f32 1 (pow.f32 u1 2)))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 u1) (+.f32 (/.f32 2 (pow.f32 u1 2)) (/.f32 2 (pow.f32 u1 3))))))
(neg.f32 (+.f32 (/.f32 2 u1) (+.f32 2 (+.f32 (/.f32 2 (pow.f32 u1 2)) (/.f32 2 (pow.f32 u1 3))))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 u1))))
(neg.f32 (+.f32 2 (/.f32 2 u1)))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 u1)) (*.f32 2 (/.f32 1 (pow.f32 u1 2))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 u1) (/.f32 2 (pow.f32 u1 2)))))
(neg.f32 (+.f32 (/.f32 2 (pow.f32 u1 2)) (+.f32 2 (/.f32 2 u1))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 u1)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 u1 3))) (*.f32 2 (/.f32 1 (pow.f32 u1 2)))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 u1) (+.f32 (/.f32 2 (pow.f32 u1 2)) (/.f32 2 (pow.f32 u1 3))))))
(neg.f32 (+.f32 (/.f32 2 u1) (+.f32 2 (+.f32 (/.f32 2 (pow.f32 u1 2)) (/.f32 2 (pow.f32 u1 3))))))
(*.f32 6 u1)
(*.f32 u1 6)
(+.f32 (*.f32 6 (pow.f32 u1 2)) (*.f32 6 u1))
(+.f32 (*.f32 (pow.f32 u1 2) 6) (*.f32 u1 6))
(*.f32 6 (+.f32 u1 (pow.f32 u1 2)))
(+.f32 (*.f32 6 (pow.f32 u1 2)) (+.f32 (*.f32 6 (pow.f32 u1 3)) (*.f32 6 u1)))
(+.f32 (*.f32 (pow.f32 u1 2) 6) (+.f32 (*.f32 (pow.f32 u1 3) 6) (*.f32 u1 6)))
(+.f32 (*.f32 (pow.f32 u1 2) 6) (*.f32 6 (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (*.f32 6 (pow.f32 u1 2)) (+.f32 (*.f32 6 (pow.f32 u1 4)) (+.f32 (*.f32 6 (pow.f32 u1 3)) (*.f32 6 u1))))
(+.f32 (*.f32 (pow.f32 u1 2) 6) (+.f32 (*.f32 (pow.f32 u1 3) 6) (+.f32 (*.f32 (pow.f32 u1 4) 6) (*.f32 u1 6))))
(+.f32 (*.f32 (pow.f32 u1 2) 6) (+.f32 (*.f32 (pow.f32 u1 3) 6) (*.f32 6 (+.f32 (pow.f32 u1 4) u1))))
-6
(neg.f32 (+.f32 6 (*.f32 6 (/.f32 1 u1))))
(neg.f32 (+.f32 6 (/.f32 6 u1)))
(neg.f32 (+.f32 (*.f32 6 (/.f32 1 u1)) (+.f32 6 (*.f32 6 (/.f32 1 (pow.f32 u1 2))))))
(neg.f32 (+.f32 6 (+.f32 (/.f32 6 u1) (/.f32 6 (pow.f32 u1 2)))))
(neg.f32 (+.f32 (*.f32 6 (/.f32 1 u1)) (+.f32 6 (+.f32 (*.f32 6 (/.f32 1 (pow.f32 u1 2))) (*.f32 6 (/.f32 1 (pow.f32 u1 3)))))))
(neg.f32 (+.f32 6 (+.f32 (/.f32 6 u1) (+.f32 (/.f32 6 (pow.f32 u1 2)) (/.f32 6 (pow.f32 u1 3))))))
(neg.f32 (+.f32 6 (+.f32 (/.f32 6 (pow.f32 u1 3)) (+.f32 (/.f32 6 u1) (/.f32 6 (pow.f32 u1 2))))))
-6
(neg.f32 (+.f32 6 (*.f32 6 (/.f32 1 u1))))
(neg.f32 (+.f32 6 (/.f32 6 u1)))
(neg.f32 (+.f32 (*.f32 6 (/.f32 1 u1)) (+.f32 6 (*.f32 6 (/.f32 1 (pow.f32 u1 2))))))
(neg.f32 (+.f32 6 (+.f32 (/.f32 6 u1) (/.f32 6 (pow.f32 u1 2)))))
(neg.f32 (+.f32 (*.f32 6 (/.f32 1 u1)) (+.f32 6 (+.f32 (*.f32 6 (/.f32 1 (pow.f32 u1 2))) (*.f32 6 (/.f32 1 (pow.f32 u1 3)))))))
(neg.f32 (+.f32 6 (+.f32 (/.f32 6 u1) (+.f32 (/.f32 6 (pow.f32 u1 2)) (/.f32 6 (pow.f32 u1 3))))))
(neg.f32 (+.f32 6 (+.f32 (/.f32 6 (pow.f32 u1 3)) (+.f32 (/.f32 6 u1) (/.f32 6 (pow.f32 u1 2))))))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 u1 (-.f32 1 u1)))
(/.f32 (+.f32 u1 u1) (-.f32 1 u1))
(/.f32 u1 (+.f32 1/2 (/.f32 u1 -2)))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (*.f32 (/.f32 u1 (-.f32 1 u1)) -6))
(/.f32 (+.f32 u1 u1) (-.f32 1 u1))
(/.f32 u1 (+.f32 1/2 (/.f32 u1 -2)))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) -6) (*.f32 8 (/.f32 0 (-.f32 1 u1)))))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (+.f32 (*.f32 -6 (/.f32 u1 (-.f32 1 u1))) (/.f32 0 (-.f32 1 u1))))
(/.f32 (-.f32 (+.f32 u1 u1) 0) (-.f32 1 u1))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (+.f32 (*.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 2) 2) (+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6) (/.f32 -16 (/.f32 (-.f32 1 u1) u1)))))
(/.f32 (+.f32 u1 u1) (-.f32 1 u1))
(/.f32 u1 (+.f32 1/2 (/.f32 u1 -2)))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) -6) (*.f32 8 (/.f32 0 (-.f32 1 u1)))))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (+.f32 (*.f32 -6 (/.f32 u1 (-.f32 1 u1))) (/.f32 0 (-.f32 1 u1))))
(/.f32 (-.f32 (+.f32 u1 u1) 0) (-.f32 1 u1))
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(-.f32 (/.f32 (-.f32 (neg.f32 u1) u1) (-.f32 (/.f32 u1 6) 1/6)) (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 u1 (-.f32 1/6 (/.f32 u1 6)))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 u1 (*.f32 1 (-.f32 1/6 (/.f32 u1 6))))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 u1 (*.f32 (-.f32 1 u1) 1/6))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 u1 (*.f32 -1 (-.f32 (/.f32 u1 6) 1/6)))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 u1 (neg.f32 (-.f32 (/.f32 u1 6) 1/6)))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 1 (/.f32 (-.f32 1 u1) (*.f32 u1 6)))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 1 (*.f32 (/.f32 1 u1) (-.f32 1/6 (/.f32 u1 6))))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 1 (*.f32 (/.f32 (-.f32 1 u1) u1) 1/6))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 6 (/.f32 (-.f32 1 u1) u1))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -6) 1)
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (neg.f32 u1) (-.f32 (/.f32 u1 6) 1/6))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (neg.f32 u1) (*.f32 -1 (-.f32 1/6 (/.f32 u1 6))))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (neg.f32 u1) (*.f32 (+.f32 u1 -1) 1/6))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (neg.f32 u1) (*.f32 1 (-.f32 (/.f32 u1 6) 1/6)))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 1/6 (/.f32 u1 6))))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (+.f32 u1 u1) (/.f32 (-.f32 (/.f32 u1 -1/2) -2) 6))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (+.f32 u1 u1) (*.f32 (-.f32 (/.f32 u1 -1/2) -2) 1/6))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 1/2 (/.f32 (/.f32 (-.f32 1 u1) (+.f32 u1 u1)) 6))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 1/2 (/.f32 (-.f32 1 u1) (*.f32 u1 12)))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 1/2 (*.f32 (/.f32 1/2 u1) (-.f32 1/6 (/.f32 u1 6))))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 1/2 (*.f32 (/.f32 (-.f32 1 u1) (+.f32 u1 u1)) 1/6))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (/.f32 1/2 (-.f32 1 u1)) (/.f32 (/.f32 1/2 u1) 6))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (/.f32 1/2 (-.f32 1 u1)) (*.f32 (/.f32 1/2 u1) 1/6))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) -6) -1)
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 -1 (/.f32 (-.f32 1 u1) (*.f32 u1 -6)))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 -1 (/.f32 (/.f32 (+.f32 u1 -1) u1) 6))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 -1 (/.f32 (-.f32 (/.f32 u1 1/2) 2) (*.f32 u1 12)))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 -1 (/.f32 (+.f32 u1 -1) (neg.f32 (*.f32 u1 -6))))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 -1 (*.f32 (/.f32 (+.f32 u1 -1) u1) 1/6))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (/.f32 u1 (+.f32 u1 -1)) -1/6)
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (/.f32 3 (-.f32 1 u1)) (/.f32 1/2 u1))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (/.f32 1 (-.f32 1 u1)) (/.f32 (/.f32 1 u1) 6))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (/.f32 1 (-.f32 1 u1)) (/.f32 1 (*.f32 u1 6)))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (/.f32 1 (-.f32 1 u1)) (/.f32 1 (neg.f32 (*.f32 u1 -6))))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 -6 (/.f32 (+.f32 u1 -1) u1))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (*.f32 u1 6) (-.f32 1 u1))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (*.f32 u1 -6) (+.f32 u1 -1))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 -1/2 (/.f32 (+.f32 u1 -1) (*.f32 u1 12)))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (-.f32 (neg.f32 u1) u1) (*.f32 (-.f32 (/.f32 u1 1/2) 2) 1/6))
(/.f32 (/.f32 (-.f32 (neg.f32 u1) u1) 1/6) (-.f32 (/.f32 u1 1/2) 2))
(*.f32 3 (/.f32 (-.f32 (neg.f32 u1) u1) (+.f32 u1 -1)))
(/.f32 (/.f32 1/2 (+.f32 u1 -1)) (/.f32 (/.f32 -1 (+.f32 u1 u1)) 6))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 3 (/.f32 (-.f32 1 u1) (+.f32 u1 u1)))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (/.f32 1/2 (/.f32 (-.f32 1 u1) (*.f32 u1 6))) 1/2)
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (/.f32 u1 (-.f32 (/.f32 u1 -1/2) -2)) 1/12)
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (*.f32 u1 12) (-.f32 (/.f32 u1 -1/2) -2))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (neg.f32 (*.f32 u1 6)) (+.f32 u1 -1))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (neg.f32 (*.f32 u1 -6)) (-.f32 1 u1))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (-.f32 0 (*.f32 u1 6)) (+.f32 u1 -1))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (-.f32 0 (*.f32 u1 -6)) (-.f32 1 u1))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (/.f32 1 (-.f32 1/6 (/.f32 u1 6))) (/.f32 1 u1))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (/.f32 u1 1/6) (-.f32 1 u1))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (/.f32 (neg.f32 u1) 1/6) (+.f32 u1 -1))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (/.f32 (+.f32 u1 u1) 1/6) (-.f32 (/.f32 u1 -1/2) -2))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (/.f32 (-.f32 (neg.f32 u1) u1) 1/6) (-.f32 (/.f32 u1 1/2) 2))
(*.f32 3 (/.f32 (-.f32 (neg.f32 u1) u1) (+.f32 u1 -1)))
(/.f32 (/.f32 (/.f32 u1 (-.f32 (/.f32 u1 -1/2) -2)) 1/6) 1/2)
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(/.f32 (/.f32 (*.f32 u1 6) 1/2) (-.f32 (/.f32 u1 -1/2) -2))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))
(neg.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) -6))
(*.f32 -6 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (+.f32 1/6 (/.f32 u1 -6)))

eval1.0s (7.3%)

Compiler

Compiled 53362 to 37625 computations (29.5% saved)

prune708.0ms (5%)

Pruning

41 alts after pruning (34 fresh and 7 done)

PrunedKeptTotal
New1811121823
Fresh62228
Picked101
Done077
Total1818411859
Error
0.0b
Counts
1859 → 41
Alt Table
Click to see full alt table
StatusErrorProgram
7.8b
(/.f32 (-.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/2) (*.f32 1/2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))) (/.f32 -1 (sqrt.f32 u1)))
✓0.4b
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (cos.f32 (/.f32 1 (*.f32 (/.f32 1 u2) 50000000000/314159265359)))))
0.4b
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (cos.f32 (-.f32 (*.f32 u2 942477796077/50000000000) (*.f32 u2 314159265359/25000000000)))))
✓0.4b
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
7.8b
(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
0.4b
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
7.8b
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (sqrt.f32 u1)))
0.4b
(/.f32 1 (/.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
6.3b
(/.f32 1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
0.4b
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
1.9b
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (+.f32 (/.f32 (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2) (-.f32 (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))))
0.7b
(-.f32 (*.f32 (sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 1 u1) u1)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
0.8b
(-.f32 (*.f32 (sqrt.f32 (-.f32 (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
▶6.6b
(-.f32 (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3))
✓0.3b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓0.3b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 -314159265359/25000000000 (/.f32 1/2 (/.f32 -1 u2)))))
0.8b
(*.f32 (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 u1 8) (*.f32 u1 6)) (-.f32 1 u1)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.5b
(*.f32 (sqrt.f32 (-.f32 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (+.f32 2 (/.f32 u1 -1/2))) (/.f32 u1 (/.f32 (-.f32 1 u1) 1/2)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.8b
(*.f32 (sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 4 (+.f32 u1 3)) u1)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.4b
(*.f32 (sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 1 u1) u1)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
0.4b
(*.f32 (sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 1 u1) u1)) (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
1.5b
(*.f32 (sqrt.f32 (-.f32 (-.f32 (/.f32 u1 (+.f32 1/6 (/.f32 u1 -6))) (/.f32 (+.f32 (*.f32 u1 -6) (+.f32 u1 u1)) (+.f32 u1 -1))) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
▶1.3b
(*.f32 (sqrt.f32 (-.f32 (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 (/.f32 1 (-.f32 1/6 (/.f32 u1 6))) (/.f32 1 u1))) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.9b
(*.f32 (sqrt.f32 (-.f32 (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (*.f32 (/.f32 u1 (-.f32 1 u1)) 6)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (-.f32 (-.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 -314159265359/50000000000)) (*.f32 u2 314159265359/25000000000))))
0.7b
(*.f32 (sqrt.f32 (-.f32 (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 3) (/.f32 u1 (-.f32 1 u1))) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
1.8b
(*.f32 (sqrt.f32 (-.f32 (+.f32 (/.f32 -14 (/.f32 (-.f32 1 u1) u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 16)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
2.4b
(*.f32 (sqrt.f32 (-.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 30) (-.f32 (/.f32 4 (/.f32 (-.f32 1 u1) u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 32))) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
1.5b
(*.f32 (sqrt.f32 (-.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 12) (-.f32 (*.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 2) 2) (*.f32 (/.f32 u1 (-.f32 1 u1)) 14))) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.5b
(*.f32 (sqrt.f32 (-.f32 (*.f32 (/.f32 -2 (+.f32 u1 -1)) u1) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
▶0.4b
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
7.8b
(*.f32 (sqrt.f32 u1) (cos.f32 (/.f32 u2 50000000000/314159265359)))
▶7.8b
(*.f32 (sqrt.f32 u1) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
✓7.8b
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓6.3b
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
6.5b
(sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1))))
6.4b
(sqrt.f32 (-.f32 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (+.f32 2 (/.f32 u1 -1/2))) (/.f32 u1 (/.f32 (-.f32 1 u1) 1/2))))
6.3b
(sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 1 u1) u1)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1)))))
6.4b
(sqrt.f32 (-.f32 (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)))
9.0b
(sqrt.f32 (+.f32 (pow.f32 u1 2) u1))
▶6.3b
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
✓11.6b
(sqrt.f32 u1)
Compiler

Compiled 1926 to 1461 computations (24.1% saved)

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f32 1 (-.f32 1 u1))
✓0.1b
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓0.3b
(*.f32 (/.f32 1 (-.f32 1 u1)) u1)
0.4b
(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 50 to 37 computations (26% saved)

series2.0ms (0%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
0.0ms
u1
@0
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.0ms
u2
@0
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.0ms
u1
@-inf
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.0ms
u1
@inf
(/.f32 1 (-.f32 1 u1))

rewrite154.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1350×rational.json-simplify-6
1022×rational.json-simplify-5
1006×rational.json-simplify-3
804×rational.json-simplify-12
644×rational.json-simplify-2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01471
18559
226859
3128659
Stop Event
1×node limit
Counts
3 → 343
Calls
Call 1
Inputs
(*.f32 (/.f32 1 (-.f32 1 u1)) u1)
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 1 (-.f32 1 u1))
Outputs
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simplify194.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1622×rational.json-simplify-3
1330×rational.json-simplify-12
1272×rational.json-simplify-2
918×rational.json-simplify-1
754×rational.json-simplify-5
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073514683
1246214429
Stop Event
1×node limit
Counts
387 → 476
Calls
Call 1
Inputs
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
1
(+.f32 1 u1)
(+.f32 (pow.f32 u1 2) (+.f32 1 u1))
(+.f32 (pow.f32 u1 2) (+.f32 1 (+.f32 u1 (pow.f32 u1 3))))
(/.f32 -1 u1)
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1)))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))
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(/.f32 -1 u1)
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1)))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))
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(+.f32 (/.f32 u1 (-.f32 1 u1)) 0)
(+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u1 0))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 0 (-.f32 1 u1)))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (neg.f32 (*.f32 u1 0)))
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(+.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 u1 (+.f32 u1 -1))))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (-.f32 (*.f32 u1 0) (*.f32 u1 0)))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (-.f32 (/.f32 0 (-.f32 1 u1)) (*.f32 u1 0)))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (-.f32 (*.f32 u1 0) (/.f32 0 (-.f32 1 u1))))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (-.f32 (/.f32 0 (-.f32 1 u1)) (/.f32 0 (-.f32 1 u1))))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 0 (neg.f32 (*.f32 u1 0))))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 0 (neg.f32 (/.f32 0 (-.f32 1 u1)))))
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(+.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 0 (-.f32 (*.f32 u1 0) (/.f32 0 (-.f32 1 u1)))))
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(+.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 (/.f32 0 (-.f32 1 u1)) (-.f32 (*.f32 u1 0) (/.f32 0 (-.f32 1 u1)))))
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(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 0 (*.f32 -1 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 0 (neg.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 0 (*.f32 -1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 0 (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (-.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (-.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) -1))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 -1 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (neg.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 -1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(-.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(-.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(-.f32 (/.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) -1) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) -1) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (/.f32 0 (*.f32 -1 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (/.f32 0 (neg.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (/.f32 0 (*.f32 -1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (/.f32 0 (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 1 (/.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -1 (*.f32 -1 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -1 (neg.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (*.f32 -1 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (neg.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1 (*.f32 -1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1 (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (neg.f32 (*.f32 -1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (neg.f32 (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(/.f32 1/2 (/.f32 (/.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) -1)
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 -1 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 1 (neg.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1 (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(/.f32 (*.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (*.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (/.f32 -1 (+.f32 u1 -1)) 0)
(+.f32 (/.f32 -1 (+.f32 u1 -1)) (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 1 (+.f32 u1 -1))))
(+.f32 (/.f32 -1 (+.f32 u1 -1)) (-.f32 (/.f32 1/2 (-.f32 1 u1)) (/.f32 1/2 (-.f32 1 u1))))
(+.f32 (/.f32 -1 (+.f32 u1 -1)) (*.f32 1 (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 1 (+.f32 u1 -1)))))
(+.f32 (/.f32 -1 (+.f32 u1 -1)) (*.f32 1/2 (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 1 (+.f32 u1 -1)))))
(+.f32 0 (/.f32 -1 (+.f32 u1 -1)))
(+.f32 (/.f32 1/2 (-.f32 1 u1)) (/.f32 1/2 (-.f32 1 u1)))
(+.f32 (/.f32 1 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1)))
(+.f32 (/.f32 -2 (+.f32 u1 -1)) (/.f32 1 (+.f32 u1 -1)))
(+.f32 (/.f32 -2 (+.f32 u1 -1)) (-.f32 (/.f32 -2 (+.f32 u1 -1)) (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1)))))
(+.f32 (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 1 (+.f32 u1 -1))) (/.f32 -1 (+.f32 u1 -1)))
(+.f32 (+.f32 (/.f32 -2 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) (-.f32 0 (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1)))))
(-.f32 (/.f32 -1 (+.f32 u1 -1)) 0)
(-.f32 (/.f32 -1 (+.f32 u1 -1)) (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 1 (+.f32 u1 -1))))
(-.f32 0 (/.f32 1 (+.f32 u1 -1)))
(-.f32 (/.f32 1 (+.f32 u1 -1)) (-.f32 0 (/.f32 -2 (+.f32 u1 -1))))
(-.f32 (/.f32 1 (+.f32 u1 -1)) (/.f32 (/.f32 -2 (+.f32 u1 -1)) -1))
(-.f32 (/.f32 -2 (+.f32 u1 -1)) (/.f32 -1 (+.f32 u1 -1)))
(-.f32 (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 1 (+.f32 u1 -1))) (/.f32 1 (+.f32 u1 -1)))
(-.f32 (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) (/.f32 -2 (+.f32 u1 -1)))
(-.f32 (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) (-.f32 (+.f32 (/.f32 -2 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) (/.f32 -2 (+.f32 u1 -1))))
(-.f32 (+.f32 (/.f32 -2 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))))
(-.f32 (+.f32 (/.f32 1/2 (-.f32 1 u1)) (/.f32 -1 (+.f32 u1 -1))) (/.f32 1/2 (-.f32 1 u1)))
(*.f32 1 (/.f32 -1 (+.f32 u1 -1)))
(*.f32 (/.f32 -1 (+.f32 u1 -1)) 1)
(*.f32 -1 (/.f32 1 (+.f32 u1 -1)))
(*.f32 -1 (*.f32 2 (neg.f32 (/.f32 1/2 (-.f32 1 u1)))))
(*.f32 -1 (*.f32 2 (/.f32 1/2 (+.f32 u1 -1))))
(*.f32 2 (/.f32 1/2 (-.f32 1 u1)))
(*.f32 1/2 (/.f32 -2 (+.f32 u1 -1)))
(*.f32 (/.f32 1/2 (-.f32 1 u1)) 2)
(*.f32 (/.f32 1 (+.f32 u1 -1)) -1)
(*.f32 -1/2 (*.f32 2 (/.f32 1 (+.f32 u1 -1))))
(*.f32 4 (*.f32 (/.f32 -1 (+.f32 u1 -1)) 1/4))
(*.f32 (/.f32 -2 (+.f32 u1 -1)) 1/2)
(*.f32 -2 (/.f32 1/2 (+.f32 u1 -1)))
(*.f32 -2 (neg.f32 (/.f32 1/2 (-.f32 1 u1))))
(*.f32 -2 (*.f32 1 (neg.f32 (/.f32 1/2 (-.f32 1 u1)))))
(*.f32 -2 (*.f32 2 (*.f32 1/2 (/.f32 1/2 (+.f32 u1 -1)))))
(*.f32 (/.f32 1/2 (+.f32 u1 -1)) -2)
(*.f32 (+.f32 (/.f32 1 (+.f32 u1 -1)) (/.f32 1 (+.f32 u1 -1))) -1/2)
(neg.f32 (/.f32 1 (+.f32 u1 -1)))
Outputs
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (pow.f32 u1 2))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (pow.f32 u1 2) (+.f32 u1 (pow.f32 u1 3)))
(+.f32 u1 (+.f32 (pow.f32 u1 2) (pow.f32 u1 3)))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) (+.f32 (pow.f32 u1 4) u1)))
(+.f32 (pow.f32 u1 3) (+.f32 (pow.f32 u1 2) (+.f32 u1 (pow.f32 u1 4))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 2)))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))))))
(neg.f32 (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))) (+.f32 1 (/.f32 1 (pow.f32 u1 2)))))
-1
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(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) -1)
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 -1 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 1 (neg.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1 (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (*.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (*.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (/.f32 -1 (+.f32 u1 -1)) 0)
(/.f32 -1 (+.f32 u1 -1))
(+.f32 (/.f32 -1 (+.f32 u1 -1)) (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 1 (+.f32 u1 -1))))
(/.f32 -1 (+.f32 u1 -1))
(+.f32 (/.f32 -1 (+.f32 u1 -1)) (-.f32 (/.f32 1/2 (-.f32 1 u1)) (/.f32 1/2 (-.f32 1 u1))))
(/.f32 -1 (+.f32 u1 -1))
(+.f32 (/.f32 -1 (+.f32 u1 -1)) (*.f32 1 (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 1 (+.f32 u1 -1)))))
(/.f32 -1 (+.f32 u1 -1))
(+.f32 (/.f32 -1 (+.f32 u1 -1)) (*.f32 1/2 (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 1 (+.f32 u1 -1)))))
(/.f32 -1 (+.f32 u1 -1))
(+.f32 0 (/.f32 -1 (+.f32 u1 -1)))
(/.f32 -1 (+.f32 u1 -1))
(+.f32 (/.f32 1/2 (-.f32 1 u1)) (/.f32 1/2 (-.f32 1 u1)))
(/.f32 -1 (+.f32 u1 -1))
(+.f32 (/.f32 1 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1)))
(/.f32 -1 (+.f32 u1 -1))
(+.f32 (/.f32 -2 (+.f32 u1 -1)) (/.f32 1 (+.f32 u1 -1)))
(/.f32 -1 (+.f32 u1 -1))
(+.f32 (/.f32 -2 (+.f32 u1 -1)) (-.f32 (/.f32 -2 (+.f32 u1 -1)) (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1)))))
(/.f32 -1 (+.f32 u1 -1))
(+.f32 (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 1 (+.f32 u1 -1))) (/.f32 -1 (+.f32 u1 -1)))
(/.f32 -1 (+.f32 u1 -1))
(+.f32 (+.f32 (/.f32 -2 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) (-.f32 0 (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1)))))
(/.f32 -1 (+.f32 u1 -1))
(-.f32 (/.f32 -1 (+.f32 u1 -1)) 0)
(/.f32 -1 (+.f32 u1 -1))
(-.f32 (/.f32 -1 (+.f32 u1 -1)) (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 1 (+.f32 u1 -1))))
(/.f32 -1 (+.f32 u1 -1))
(-.f32 0 (/.f32 1 (+.f32 u1 -1)))
(/.f32 -1 (+.f32 u1 -1))
(-.f32 (/.f32 1 (+.f32 u1 -1)) (-.f32 0 (/.f32 -2 (+.f32 u1 -1))))
(/.f32 -1 (+.f32 u1 -1))
(-.f32 (/.f32 1 (+.f32 u1 -1)) (/.f32 (/.f32 -2 (+.f32 u1 -1)) -1))
(/.f32 -1 (+.f32 u1 -1))
(-.f32 (/.f32 -2 (+.f32 u1 -1)) (/.f32 -1 (+.f32 u1 -1)))
(/.f32 -1 (+.f32 u1 -1))
(-.f32 (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 1 (+.f32 u1 -1))) (/.f32 1 (+.f32 u1 -1)))
(/.f32 -1 (+.f32 u1 -1))
(-.f32 (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) (/.f32 -2 (+.f32 u1 -1)))
(-.f32 (/.f32 -3 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1)))
(-.f32 (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) (-.f32 (+.f32 (/.f32 -2 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) (/.f32 -2 (+.f32 u1 -1))))
(/.f32 -1 (+.f32 u1 -1))
(-.f32 (+.f32 (/.f32 -2 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))))
(/.f32 -1 (+.f32 u1 -1))
(-.f32 (+.f32 (/.f32 1/2 (-.f32 1 u1)) (/.f32 -1 (+.f32 u1 -1))) (/.f32 1/2 (-.f32 1 u1)))
(/.f32 -1 (+.f32 u1 -1))
(*.f32 1 (/.f32 -1 (+.f32 u1 -1)))
(/.f32 -1 (+.f32 u1 -1))
(*.f32 (/.f32 -1 (+.f32 u1 -1)) 1)
(/.f32 -1 (+.f32 u1 -1))
(*.f32 -1 (/.f32 1 (+.f32 u1 -1)))
(/.f32 -1 (+.f32 u1 -1))
(*.f32 -1 (*.f32 2 (neg.f32 (/.f32 1/2 (-.f32 1 u1)))))
(/.f32 -1 (+.f32 u1 -1))
(*.f32 -1 (*.f32 2 (/.f32 1/2 (+.f32 u1 -1))))
(/.f32 -1 (+.f32 u1 -1))
(*.f32 2 (/.f32 1/2 (-.f32 1 u1)))
(/.f32 -1 (+.f32 u1 -1))
(*.f32 1/2 (/.f32 -2 (+.f32 u1 -1)))
(/.f32 -1 (+.f32 u1 -1))
(*.f32 (/.f32 1/2 (-.f32 1 u1)) 2)
(/.f32 -1 (+.f32 u1 -1))
(*.f32 (/.f32 1 (+.f32 u1 -1)) -1)
(/.f32 -1 (+.f32 u1 -1))
(*.f32 -1/2 (*.f32 2 (/.f32 1 (+.f32 u1 -1))))
(/.f32 -1 (+.f32 u1 -1))
(*.f32 4 (*.f32 (/.f32 -1 (+.f32 u1 -1)) 1/4))
(/.f32 -1 (+.f32 u1 -1))
(*.f32 (/.f32 -2 (+.f32 u1 -1)) 1/2)
(/.f32 -1 (+.f32 u1 -1))
(*.f32 -2 (/.f32 1/2 (+.f32 u1 -1)))
(/.f32 -1 (+.f32 u1 -1))
(*.f32 -2 (neg.f32 (/.f32 1/2 (-.f32 1 u1))))
(/.f32 -1 (+.f32 u1 -1))
(*.f32 -2 (*.f32 1 (neg.f32 (/.f32 1/2 (-.f32 1 u1)))))
(/.f32 -1 (+.f32 u1 -1))
(*.f32 -2 (*.f32 2 (*.f32 1/2 (/.f32 1/2 (+.f32 u1 -1)))))
(/.f32 -1 (+.f32 u1 -1))
(*.f32 (/.f32 1/2 (+.f32 u1 -1)) -2)
(/.f32 -1 (+.f32 u1 -1))
(*.f32 (+.f32 (/.f32 1 (+.f32 u1 -1)) (/.f32 1 (+.f32 u1 -1))) -1/2)
(/.f32 -1 (+.f32 u1 -1))
(neg.f32 (/.f32 1 (+.f32 u1 -1)))
(/.f32 -1 (+.f32 u1 -1))

localize29.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
0.1b
(/.f32 1 (-.f32 1 u1))
0.3b
(*.f32 (/.f32 1 (-.f32 1 u1)) u1)
Compiler

Compiled 28 to 21 computations (25% saved)

series0.0ms (0%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
0.0ms
u1
@0
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
0.0ms
u1
@inf
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
0.0ms
u1
@-inf
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))

rewrite43.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
896×rational.json-simplify-6
760×rational.json-simplify-4
704×rational.json-simplify-3
598×rational.json-simplify-5
546×rational.json-simplify-12
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
15817
219317
389617
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (-.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) (*.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3) 1/2) (*.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2)) (+.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (-.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (/.f32 1 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1/2 (/.f32 -1 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))

simplify78.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1374×rational.json-simplify-1
784×rational.json-simplify-4
586×rational.json-simplify-5
584×rational.json-simplify-3
584×rational.json-simplify-2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01161149
13511149
212871129
378161129
Stop Event
1×node limit
Counts
49 → 62
Calls
Call 1
Inputs
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))
(+.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (-.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) (*.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)
(-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))
(-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)))
(-.f32 0 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 0 (*.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) -1))
(-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3))
(-.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3))
(-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3) 1/2) (*.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (+.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2)) (+.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(*.f32 -1 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 2 (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1)
(*.f32 -1/2 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 -1/2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))
(*.f32 -1/2 (-.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2)
(*.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1/2)
(/.f32 1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(/.f32 -1 (/.f32 1 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(/.f32 1/2 (/.f32 -1 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1)
(neg.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
Outputs
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)))
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1/2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (sqrt.f32 -1) (-.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)) -1/2)) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (sqrt.f32 -1) (/.f32 (-.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 u1 2))) (/.f32 1/2 u1)) (sqrt.f32 -1)))
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1/2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)) -1/2)) (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (+.f32 (sqrt.f32 -1) (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))) (/.f32 (-.f32 (*.f32 (+.f32 1 (/.f32 (+.f32 1/2 (*.f32 1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) (pow.f32 (sqrt.f32 -1) 2))) (/.f32 -1/2 (pow.f32 u1 3))) (/.f32 1/2 u1)) (sqrt.f32 -1)))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (/.f32 (*.f32 (sqrt.f32 -1) 1/2) u1))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))
(+.f32 (sqrt.f32 -1) (+.f32 (/.f32 (*.f32 (sqrt.f32 -1) 1/2) u1) (*.f32 (sqrt.f32 -1) (/.f32 3/8 (pow.f32 u1 2)))))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 (sqrt.f32 -1) (/.f32 5/16 (pow.f32 u1 3))) (+.f32 (/.f32 (*.f32 (sqrt.f32 -1) 1/2) u1) (*.f32 (sqrt.f32 -1) (/.f32 3/8 (pow.f32 u1 2))))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (-.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) (*.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 0 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 0 (*.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) -1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3) 1/2) (*.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (+.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2)) (+.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 -1 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 2 (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 -1/2 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 -1/2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 -1/2 (-.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1/2)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(/.f32 1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(/.f32 -1 (/.f32 1 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(/.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(/.f32 1/2 (/.f32 -1 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(neg.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

localize35.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2)))
✓0.1b
(*.f32 (sqrt.f32 u1) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
0.4b
(/.f32 314159265359/50000000000 (/.f32 1 u2))
Compiler

Compiled 32 to 23 computations (28.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

6 calls:

TimeVariablePointExpression
0.0ms
u1
@0
(*.f32 (sqrt.f32 u1) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
0.0ms
u1
@-inf
(*.f32 (sqrt.f32 u1) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
0.0ms
u1
@inf
(*.f32 (sqrt.f32 u1) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
0.0ms
u2
@0
(*.f32 (sqrt.f32 u1) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
0.0ms
u2
@inf
(*.f32 (sqrt.f32 u1) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))

rewrite77.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1606×rational.json-1
1606×rational.json-2
644×rational.json-simplify-6
544×rational.json-simplify-3
520×rational.json-simplify-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01221
17521
223521
3103221
4696921
Stop Event
1×node limit
Counts
1 → 89
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
Outputs
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#<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 u1) 2) (/.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/2) (/.f32 1/2 (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 u1) 1/2) (/.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))))

simplify68.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1308×rational.json-simplify-13
1284×rational.json-simplify-3
1170×rational.json-simplify-5
1122×rational.json-simplify-2
1090×rational.json-simplify-14
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02053097
16142677
222062677
Stop Event
1×node limit
Counts
101 → 113
Calls
Call 1
Inputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 u1))))
(+.f32 (sqrt.f32 u1) (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 u1))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 u1)))))
(+.f32 (sqrt.f32 u1) (+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 6) (sqrt.f32 u1))) (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 u1))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 u1))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 0)
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) 0))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 0 (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 0 (*.f32 0 (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 0 (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 0 (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 0 (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (-.f32 (*.f32 0 (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (*.f32 (sqrt.f32 u1) 0)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (-.f32 (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sqrt.f32 u1) 0)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (-.f32 (*.f32 0 (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (-.f32 (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (-.f32 (*.f32 0 (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0))))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (-.f32 (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0))))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1 (*.f32 0 (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1 (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(+.f32 0 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(+.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 0 (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2) (-.f32 0 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2) (-.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2) (-.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1/2) (*.f32 1/2 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 0)
(-.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) 0))
(-.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0))
(-.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)))
(-.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 0 (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))))
(-.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)) (*.f32 (sqrt.f32 u1) 0)))
(-.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)))
(-.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0))))
(-.f32 0 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (-.f32 0 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (-.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (-.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) -1))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 -1 (sqrt.f32 u1))))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (sqrt.f32 u1) 2) (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) 2)))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (neg.f32 (sqrt.f32 u1)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 -1 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(-.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(-.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)) (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (*.f32 0 (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))
(-.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(-.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))
(-.f32 (+.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))
(-.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))
(-.f32 (*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 2) (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))
(-.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) 2) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))
(-.f32 (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)) 1/2) (*.f32 1/2 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (*.f32 (*.f32 (sqrt.f32 u1) 0) -1) (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) -1) (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (+.f32 (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2)) (+.f32 (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))))
(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (sqrt.f32 u1) (neg.f32 (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 1 (/.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 u1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (sqrt.f32 u1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (neg.f32 (/.f32 -1 (sqrt.f32 u1))))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(/.f32 1/2 (/.f32 (/.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 u1)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 1/2 (/.f32 (/.f32 1 (sqrt.f32 u1)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(/.f32 1/2 (/.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) 2)))
(/.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(/.f32 1/2 (/.f32 -1 (-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 -1 (/.f32 1 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) -1)
(/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 (/.f32 1 (sqrt.f32 u1)) 1/2))
(/.f32 (*.f32 (sqrt.f32 u1) 2) (/.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1/2))
(/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/2) (/.f32 1/2 (sqrt.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) 1/2) (/.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(neg.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
Outputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 u1))))
(+.f32 (sqrt.f32 u1) (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (sqrt.f32 u1) (pow.f32 u2 2))))
(+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u2 2) (*.f32 (sqrt.f32 u1) -98696044010906577398881/5000000000000000000000)))
(+.f32 (sqrt.f32 u1) (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 u1))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 u1)))))
(+.f32 (sqrt.f32 u1) (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (sqrt.f32 u1) (pow.f32 u2 2))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 u1) (pow.f32 u2 4)))))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u2 2) (*.f32 (sqrt.f32 u1) -98696044010906577398881/5000000000000000000000))))
(+.f32 (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u2 2) (*.f32 (sqrt.f32 u1) -98696044010906577398881/5000000000000000000000))) (*.f32 (sqrt.f32 u1) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 (sqrt.f32 u1) (+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 6) (sqrt.f32 u1))) (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 u1))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 u1))))))
(+.f32 (sqrt.f32 u1) (+.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (sqrt.f32 u1) (pow.f32 u2 2))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 u1) (pow.f32 u2 4)))) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 u1) (pow.f32 u2 6)))))
(+.f32 (+.f32 (*.f32 (pow.f32 u2 2) (*.f32 (sqrt.f32 u1) -98696044010906577398881/5000000000000000000000)) (*.f32 (sqrt.f32 u1) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))) (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u2 6) (*.f32 (sqrt.f32 u1) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))
(+.f32 (sqrt.f32 u1) (+.f32 (*.f32 (pow.f32 u2 2) (*.f32 (sqrt.f32 u1) -98696044010906577398881/5000000000000000000000)) (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) (*.f32 (pow.f32 u2 6) (*.f32 (sqrt.f32 u1) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 0)
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) 0))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 0)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) 0)))
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(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 0 (*.f32 0 (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 0 (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 0 (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 0 (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
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(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
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(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (-.f32 (*.f32 0 (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (-.f32 (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
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(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 0)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) 0)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (-.f32 (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0))))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 0)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) 0)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1 (*.f32 0 (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1 (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 0 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
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(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
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(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
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(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
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(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
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(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) 0)))
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(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
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(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
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(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
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(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) 0))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
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(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) 0)))
(-.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 0)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) 0)))
(-.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0))))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 0)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) 0)))
(-.f32 0 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (-.f32 0 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (-.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (-.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) -1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 -1 (sqrt.f32 u1))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (sqrt.f32 u1) 2) (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) 2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (neg.f32 (sqrt.f32 u1)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 -1 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)) (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 0)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) 0)))
(-.f32 (*.f32 0 (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (*.f32 0 (-.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 u1) (*.f32 2 (cos.f32 (*.f32 u2 314159265359/50000000000))))) (neg.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (-.f32 (*.f32 (sqrt.f32 u1) 4) (*.f32 (sqrt.f32 u1) 3)))
(-.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(-.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3)) (*.f32 (sqrt.f32 u1) (*.f32 2 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(*.f32 (sqrt.f32 u1) (-.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3) (*.f32 2 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(-.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))
(-.f32 (-.f32 (*.f32 2 (*.f32 (sqrt.f32 u1) (*.f32 2 (cos.f32 (*.f32 u2 314159265359/50000000000))))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 0)))
(-.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (-.f32 (*.f32 (sqrt.f32 u1) 4) (*.f32 (sqrt.f32 u1) 3))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 0)))
(-.f32 (+.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 u1) (*.f32 2 (cos.f32 (*.f32 u2 314159265359/50000000000))))) (neg.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (-.f32 (*.f32 (sqrt.f32 u1) 4) (*.f32 (sqrt.f32 u1) 3)))
(-.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 u1) (*.f32 2 (cos.f32 (*.f32 u2 314159265359/50000000000))))) (neg.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (-.f32 (*.f32 (sqrt.f32 u1) 4) (*.f32 (sqrt.f32 u1) 3)))
(-.f32 (*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 2) (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 u1) (*.f32 2 (cos.f32 (*.f32 u2 314159265359/50000000000))))) (neg.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (-.f32 (*.f32 (sqrt.f32 u1) 4) (*.f32 (sqrt.f32 u1) 3)))
(-.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) 2) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 u1) (*.f32 2 (cos.f32 (*.f32 u2 314159265359/50000000000))))) (neg.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (-.f32 (*.f32 (sqrt.f32 u1) 4) (*.f32 (sqrt.f32 u1) 3)))
(-.f32 (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)) 1/2) (*.f32 1/2 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 1/2 (-.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(*.f32 1/2 (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3) (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(-.f32 (*.f32 (*.f32 (sqrt.f32 u1) 0) -1) (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0) -1) (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (+.f32 (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2)) (+.f32 (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 u1) (*.f32 2 (cos.f32 (*.f32 u2 314159265359/50000000000))))) (neg.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (-.f32 (*.f32 (sqrt.f32 u1) 4) (*.f32 (sqrt.f32 u1) 3)))
(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (sqrt.f32 u1) (neg.f32 (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 1 (/.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (neg.f32 (/.f32 -1 (sqrt.f32 u1))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 1/2 (/.f32 (/.f32 1 (sqrt.f32 u1)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 1/2 (/.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) 2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 1/2 (/.f32 -1 (-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 -1 (/.f32 1 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 -1 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) -1)
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 (/.f32 1 (sqrt.f32 u1)) 1/2))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (*.f32 (sqrt.f32 u1) 2) (/.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1/2))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/2) (/.f32 1/2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 (*.f32 (sqrt.f32 u1) 1/2) (/.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(neg.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))

localize58.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
0.2b
(/.f32 u1 (-.f32 1 u1))
✓0.3b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)
✓0.9b
(-.f32 (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3))
Compiler

Compiled 66 to 50 computations (24.2% saved)

series4.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
2.0ms
u1
@inf
(-.f32 (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3))
1.0ms
u1
@0
(-.f32 (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3))
0.0ms
u1
@-inf
(-.f32 (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3))
0.0ms
u1
@0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)

rewrite95.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1402×rational.json-simplify-6
1096×rational.json-simplify-5
1060×rational.json-simplify-3
796×rational.json-simplify-12
680×rational.json-simplify-21
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01474
19074
228240
3133740
Stop Event
1×node limit
Counts
2 → 153
Calls
Call 1
Inputs
(-.f32 (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 4) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 4) (+.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 4) (-.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 4) (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 4) (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 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simplify106.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1250×rational.json-simplify-63
1130×rational.json-simplify-61
1126×rational.json-simplify-50
1112×rational.json-simplify-35
610×rational.json-simplify-2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03868633
112224429
253594395
Stop Event
1×node limit
Counts
169 → 204
Calls
Call 1
Inputs
(-.f32 (*.f32 4 (sqrt.f32 -1)) (*.f32 3 (sqrt.f32 -1)))
(-.f32 (*.f32 4 (sqrt.f32 -1)) (+.f32 (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))) (*.f32 3 (sqrt.f32 -1))))
(-.f32 (+.f32 (*.f32 -2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (*.f32 4 (sqrt.f32 -1))) (+.f32 (*.f32 3 (sqrt.f32 -1)) (+.f32 (*.f32 -3/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))))
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(+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)) (-.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7))))
(+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7)) (-.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 6))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 6) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -3))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 6) (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 6) (+.f32 (*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 6))))
(+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 4) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)) (-.f32 0 (+.f32 (*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 6))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7)) (-.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8))))
(+.f32 (*.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 5/2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -2))
(+.f32 (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -6))
(+.f32 (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8))) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7))))
(+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8))) (-.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7) (+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 4) -3) (*.f32 -3 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -5)))
(+.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 4) 3) (*.f32 3 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -3)))
(+.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) 3) (*.f32 3 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7))))
(+.f32 (*.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)) 3) (*.f32 3 (neg.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7)))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -3) 3) (*.f32 3 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 4)))
(+.f32 (*.f32 (*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2) (*.f32 1/2 (*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 (*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -3) (*.f32 -3 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -4)))
(+.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7) -3) (*.f32 -3 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8))))
(-.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 0)
(-.f32 (*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))
(-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -2))
(-.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -3))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 4))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -3) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -6))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -3) (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -2) 1/3))
(-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -4))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -4) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7)))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 6) (*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 4) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)) (+.f32 (*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 6)))
(-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 4) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)) (-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7)))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -3))
(-.f32 (*.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 5/2) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 6))
(-.f32 (+.f32 (*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 6)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 6))
(-.f32 (+.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)))
(-.f32 (+.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 6))
(-.f32 (+.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 6)))
(-.f32 (+.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7))
(-.f32 (+.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7)))
(-.f32 (+.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7) (+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8))))
(-.f32 (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7))
(-.f32 (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7)))
(-.f32 (/.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3) (*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 4) 1/3) (/.f32 (*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))
(-.f32 (/.f32 (*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3) (/.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))
(-.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) 1/3) (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7) 1/3))
(-.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7) 1/3) (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 6) 1/3))
(-.f32 (/.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)) 1/3) (/.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7)) 1/3))
(-.f32 (/.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7)) 1/3) (/.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 6)) 1/3))
(-.f32 (/.f32 (*.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 5/2) 1/3) (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 4) 1/3))
(-.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -3) 1/3) (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -4) 1/3))
(-.f32 (/.f32 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7)) 1/3) (/.f32 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)) 1/3))
(-.f32 (/.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8))) 1/3) (/.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7) (+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8))) 1/3))
(/.f32 1 (/.f32 1/3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1 (*.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))
(/.f32 3 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/3)
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -3) -1)
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1/3)
(/.f32 3/2 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (-.f32 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -4)) -1)
(neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -3))
Outputs
(-.f32 (*.f32 4 (sqrt.f32 -1)) (*.f32 3 (sqrt.f32 -1)))
(-.f32 (*.f32 4 (sqrt.f32 -1)) (*.f32 (sqrt.f32 -1) 3))
(*.f32 (sqrt.f32 -1) 1)
(sqrt.f32 -1)
(-.f32 (*.f32 4 (sqrt.f32 -1)) (+.f32 (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))) (*.f32 3 (sqrt.f32 -1))))
(-.f32 (*.f32 4 (sqrt.f32 -1)) (+.f32 (*.f32 (sqrt.f32 -1) 3) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (*.f32 4 (sqrt.f32 -1)) (+.f32 (*.f32 (sqrt.f32 -1) 3) (/.f32 (/.f32 1/2 u1) (sqrt.f32 -1))))
(-.f32 (+.f32 (*.f32 -2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (*.f32 4 (sqrt.f32 -1))) (+.f32 (*.f32 3 (sqrt.f32 -1)) (+.f32 (*.f32 -3/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))))
(+.f32 (/.f32 -2 (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (-.f32 (*.f32 4 (sqrt.f32 -1)) (+.f32 (/.f32 -3/2 (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (+.f32 (*.f32 (sqrt.f32 -1) 3) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1))))))
(-.f32 (+.f32 (*.f32 4 (sqrt.f32 -1)) (/.f32 -2 (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))))) (+.f32 (*.f32 (sqrt.f32 -1) 3) (+.f32 (/.f32 (/.f32 1/2 u1) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)) -3/2)))))
(+.f32 (/.f32 -2 (*.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 2) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))))) (-.f32 (*.f32 4 (sqrt.f32 -1)) (+.f32 (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)) (+.f32 (*.f32 (sqrt.f32 -1) 3) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)) -3/2))))))
(-.f32 (+.f32 (*.f32 -2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 4 (sqrt.f32 -1)) (*.f32 -2 (/.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))) (+.f32 (*.f32 3 (sqrt.f32 -1)) (+.f32 (*.f32 -3/2 (/.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 -3/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))))))
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(-.f32 (+.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (+.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7)))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (+.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7) (+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7)))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3) (*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 4) 1/3) (/.f32 (*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 (*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3) (/.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) 1/3) (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7) 1/3))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7) 1/3) (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 6) 1/3))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)) 1/3) (/.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7)) 1/3))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7)) 1/3) (/.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 6)) 1/3))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 (*.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 5/2) 1/3) (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 4) 1/3))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -3) 1/3) (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -4) 1/3))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7)) 1/3) (/.f32 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)) 1/3))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8))) 1/3) (/.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7) (+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 8))) 1/3))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 1 (/.f32 1/3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 1 (*.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 3 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/3)
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -3) -1)
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1/3)
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 3/2 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (-.f32 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 7)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -4)) -1)
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -3))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

localize189.0ms (1.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(-.f32 1/6 (/.f32 u1 6))
✓0.3b
(/.f32 (/.f32 1 (-.f32 1/6 (/.f32 u1 6))) (/.f32 1 u1))
0.4b
(*.f32 314159265359/50000000000 u2)
✓0.9b
(-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 (/.f32 1 (-.f32 1/6 (/.f32 u1 6))) (/.f32 1 u1)))
Compiler

Compiled 207 to 133 computations (35.7% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
u1
@0
(-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 (/.f32 1 (-.f32 1/6 (/.f32 u1 6))) (/.f32 1 u1)))
0.0ms
u1
@-inf
(-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 (/.f32 1 (-.f32 1/6 (/.f32 u1 6))) (/.f32 1 u1)))
0.0ms
u1
@inf
(-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 (/.f32 1 (-.f32 1/6 (/.f32 u1 6))) (/.f32 1 u1)))
0.0ms
u1
@inf
(-.f32 1/6 (/.f32 u1 6))
0.0ms
u1
@0
(-.f32 1/6 (/.f32 u1 6))

rewrite64.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1282×rational.json-simplify-29
1124×rational.json-simplify-33
1016×rational.json-1
1016×rational.json-2
1016×rational.json-4
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01687
112275
249375
3257675
Stop Event
1×node limit
Counts
3 → 193
Calls
Call 1
Inputs
(-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 (/.f32 1 (-.f32 1/6 (/.f32 u1 6))) (/.f32 1 u1)))
(/.f32 (/.f32 1 (-.f32 1/6 (/.f32 u1 6))) (/.f32 1 u1))
(-.f32 1/6 (/.f32 u1 6))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (*.f32 1/2 (-.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6))) (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6))) (*.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 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simplify102.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1298×rational.json-simplify-35
496×rational.json-simplify-63
484×rational.json-simplify-50
420×rational.json-simplify-1
414×rational.json-simplify-24
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04376363
114356215
267706163
Stop Event
1×node limit
Counts
229 → 275
Calls
Call 1
Inputs
(*.f32 2 u1)
(+.f32 (*.f32 2 u1) (*.f32 2 (pow.f32 u1 2)))
(+.f32 (*.f32 2 u1) (+.f32 (*.f32 2 (pow.f32 u1 3)) (*.f32 2 (pow.f32 u1 2))))
(+.f32 (*.f32 2 u1) (+.f32 (*.f32 2 (pow.f32 u1 3)) (+.f32 (*.f32 2 (pow.f32 u1 2)) (*.f32 2 (pow.f32 u1 4)))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 u1))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 u1)) (*.f32 2 (/.f32 1 (pow.f32 u1 2))))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 u1)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 u1 3))) (*.f32 2 (/.f32 1 (pow.f32 u1 2)))))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 u1))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 u1)) (*.f32 2 (/.f32 1 (pow.f32 u1 2))))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 u1)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 u1 3))) (*.f32 2 (/.f32 1 (pow.f32 u1 2)))))))
(*.f32 6 u1)
(+.f32 (*.f32 6 (pow.f32 u1 2)) (*.f32 6 u1))
(+.f32 (*.f32 6 (pow.f32 u1 2)) (+.f32 (*.f32 6 (pow.f32 u1 3)) (*.f32 6 u1)))
(+.f32 (*.f32 6 (pow.f32 u1 2)) (+.f32 (*.f32 6 (pow.f32 u1 4)) (+.f32 (*.f32 6 (pow.f32 u1 3)) (*.f32 6 u1))))
-6
(neg.f32 (+.f32 6 (*.f32 6 (/.f32 1 u1))))
(neg.f32 (+.f32 (*.f32 6 (/.f32 1 u1)) (+.f32 6 (*.f32 6 (/.f32 1 (pow.f32 u1 2))))))
(neg.f32 (+.f32 (*.f32 6 (/.f32 1 u1)) (+.f32 6 (+.f32 (*.f32 6 (/.f32 1 (pow.f32 u1 2))) (*.f32 6 (/.f32 1 (pow.f32 u1 3)))))))
-6
(neg.f32 (+.f32 6 (*.f32 6 (/.f32 1 u1))))
(neg.f32 (+.f32 (*.f32 6 (/.f32 1 u1)) (+.f32 6 (*.f32 6 (/.f32 1 (pow.f32 u1 2))))))
(neg.f32 (+.f32 (*.f32 6 (/.f32 1 u1)) (+.f32 6 (+.f32 (*.f32 6 (/.f32 1 (pow.f32 u1 2))) (*.f32 6 (/.f32 1 (pow.f32 u1 3)))))))
1/6
(+.f32 (*.f32 -1/6 u1) 1/6)
(+.f32 (*.f32 -1/6 u1) 1/6)
(+.f32 (*.f32 -1/6 u1) 1/6)
(*.f32 -1/6 u1)
(+.f32 (*.f32 -1/6 u1) 1/6)
(+.f32 (*.f32 -1/6 u1) 1/6)
(+.f32 (*.f32 -1/6 u1) 1/6)
(*.f32 -1/6 u1)
(+.f32 (*.f32 -1/6 u1) 1/6)
(+.f32 (*.f32 -1/6 u1) 1/6)
(+.f32 (*.f32 -1/6 u1) 1/6)
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6)))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6))))))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (*.f32 1/2 (-.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6))) (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6)))))))
(+.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6))) 0)
(+.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6))) (*.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6))) 0))
(+.f32 0 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6))))
(+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -16) (neg.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6))))))
(+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -16) (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (+.f32 (/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6))) (*.f32 (/.f32 u1 (+.f32 u1 -1)) -16))))
(+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -16) (*.f32 1 (neg.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6)))))))
(+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -16) (*.f32 1 (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (+.f32 (/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6))) (*.f32 (/.f32 u1 (+.f32 u1 -1)) -16)))))
(+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -16) (*.f32 1/2 (-.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6))) (+.f32 (/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6))) (*.f32 (/.f32 u1 (-.f32 1 u1)) 24)))))
(+.f32 (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 8))
(+.f32 (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6)) (*.f32 -1 (-.f32 (-.f32 u1 u1) (*.f32 (/.f32 u1 (-.f32 1 u1)) 8))))
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(+.f32 1/6 (*.f32 1/2 (-.f32 (-.f32 1/6 (*.f32 u1 1/6)) (+.f32 1/6 (*.f32 u1 1/6)))))
(+.f32 (-.f32 1/6 (*.f32 u1 1/6)) 0)
(+.f32 (-.f32 1/6 (*.f32 u1 1/6)) (*.f32 (-.f32 1/6 (*.f32 u1 1/6)) 0))
(+.f32 0 (-.f32 1/6 (*.f32 u1 1/6)))
(+.f32 (+.f32 (*.f32 u1 1/6) -1/6) (-.f32 1/3 (/.f32 (*.f32 u1 1/6) 1/2)))
(+.f32 1/3 (neg.f32 (+.f32 1/6 (*.f32 u1 1/6))))
(+.f32 1/3 (*.f32 1 (neg.f32 (+.f32 1/6 (*.f32 u1 1/6)))))
(+.f32 1/3 (*.f32 1/2 (-.f32 (-.f32 1/6 (*.f32 u1 1/6)) (+.f32 (*.f32 u1 1/6) 1/2))))
(+.f32 1/12 (*.f32 1/2 (-.f32 (-.f32 1/6 (*.f32 u1 1/6)) (*.f32 u1 1/6))))
(+.f32 -1/6 (*.f32 -1 (-.f32 (*.f32 u1 1/6) 1/3)))
(+.f32 (/.f32 (neg.f32 u1) 6) 1/6)
(+.f32 (/.f32 (neg.f32 u1) 6) (*.f32 -1 (-.f32 (*.f32 u1 1/6) (+.f32 1/6 (*.f32 u1 1/6)))))
(+.f32 (-.f32 1/3 (/.f32 (*.f32 u1 1/6) 1/2)) (+.f32 (*.f32 u1 1/6) -1/6))
(+.f32 2/3 (neg.f32 (+.f32 (*.f32 u1 1/6) 1/2)))
(+.f32 2/3 (*.f32 1 (neg.f32 (+.f32 (*.f32 u1 1/6) 1/2))))
(+.f32 (*.f32 (-.f32 1/6 (*.f32 u1 1/6)) 1/2) (*.f32 (-.f32 1/6 (*.f32 u1 1/6)) 1/2))
(+.f32 (*.f32 (-.f32 1/6 (*.f32 u1 1/6)) 0) (-.f32 1/6 (*.f32 u1 1/6)))
(+.f32 (neg.f32 (+.f32 1/6 (*.f32 u1 1/6))) 1/3)
(+.f32 (neg.f32 (+.f32 (*.f32 u1 1/6) 1/2)) 2/3)
(+.f32 (*.f32 (+.f32 1/6 (*.f32 u1 1/6)) -1) 1/3)
(*.f32 1 (-.f32 1/6 (*.f32 u1 1/6)))
(*.f32 (-.f32 1/6 (*.f32 u1 1/6)) 1)
(*.f32 -1 (+.f32 (*.f32 u1 1/6) -1/6))
(*.f32 (+.f32 (*.f32 u1 1/6) -1/6) -1)
(*.f32 2 (*.f32 (-.f32 1/6 (*.f32 u1 1/6)) 1/2))
(*.f32 2 (-.f32 (-.f32 1/6 (*.f32 u1 1/6)) (*.f32 (-.f32 1/6 (*.f32 u1 1/6)) 1/2)))
(*.f32 1/2 (-.f32 1/3 (/.f32 (*.f32 u1 1/6) 1/2)))
(*.f32 -2 (/.f32 1/2 (/.f32 1 (+.f32 (*.f32 u1 1/6) -1/6))))
(*.f32 (-.f32 1/3 (/.f32 (*.f32 u1 1/6) 1/2)) 1/2)
(*.f32 (*.f32 (-.f32 1/6 (*.f32 u1 1/6)) 1/2) 2)
(*.f32 (+.f32 (*.f32 (+.f32 u1 u1) 1/6) -1/3) -1/2)
(/.f32 1 (/.f32 1 (-.f32 1/6 (*.f32 u1 1/6))))
(/.f32 (-.f32 1/6 (*.f32 u1 1/6)) 1)
(/.f32 -1 (/.f32 1 (+.f32 (*.f32 u1 1/6) -1/6)))
(/.f32 (+.f32 (*.f32 u1 1/6) -1/6) -1)
(/.f32 2 (/.f32 2 (-.f32 1/6 (*.f32 u1 1/6))))
(/.f32 1/2 (/.f32 1/2 (-.f32 1/6 (*.f32 u1 1/6))))
(/.f32 -1/2 (/.f32 1/2 (+.f32 (*.f32 u1 1/6) -1/6)))
(/.f32 -1/2 (neg.f32 (/.f32 1/2 (-.f32 1/6 (*.f32 u1 1/6)))))
(/.f32 (-.f32 1/3 (/.f32 (*.f32 u1 1/6) 1/2)) 2)
(/.f32 (*.f32 (-.f32 1/6 (*.f32 u1 1/6)) 1/2) 1/2)
(/.f32 (-.f32 (neg.f32 (+.f32 1/6 (*.f32 u1 1/6))) (+.f32 (/.f32 (neg.f32 u1) 6) (/.f32 (neg.f32 u1) 6))) -1)
(/.f32 (-.f32 (-.f32 1/6 (*.f32 u1 1/6)) (*.f32 (-.f32 1/6 (*.f32 u1 1/6)) 1/2)) 1/2)
(/.f32 (-.f32 (/.f32 (+.f32 (*.f32 u1 1/6) -1/6) 1/2) (+.f32 (*.f32 u1 1/6) -1/6)) -1)
(/.f32 (+.f32 (/.f32 (+.f32 (*.f32 u1 1/6) -1/6) 1/2) (-.f32 1/6 (*.f32 u1 1/6))) -1)
(/.f32 (+.f32 (+.f32 (*.f32 (+.f32 u1 u1) 1/6) -1/3) (-.f32 1/6 (*.f32 u1 1/6))) -1)
(neg.f32 (+.f32 (*.f32 u1 1/6) -1/6))
Outputs
(*.f32 2 u1)
(+.f32 (*.f32 2 u1) (*.f32 2 (pow.f32 u1 2)))
(*.f32 2 (+.f32 u1 (pow.f32 u1 2)))
(+.f32 (*.f32 2 u1) (+.f32 (*.f32 2 (pow.f32 u1 3)) (*.f32 2 (pow.f32 u1 2))))
(+.f32 (*.f32 2 (pow.f32 u1 3)) (+.f32 (*.f32 2 u1) (*.f32 2 (pow.f32 u1 2))))
(+.f32 (*.f32 2 u1) (*.f32 2 (+.f32 (pow.f32 u1 2) (pow.f32 u1 3))))
(+.f32 (*.f32 2 u1) (+.f32 (*.f32 2 (pow.f32 u1 3)) (+.f32 (*.f32 2 (pow.f32 u1 2)) (*.f32 2 (pow.f32 u1 4)))))
(+.f32 (*.f32 2 u1) (+.f32 (*.f32 2 (pow.f32 u1 3)) (*.f32 2 (+.f32 (pow.f32 u1 2) (pow.f32 u1 4)))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 u1))))
(neg.f32 (+.f32 2 (/.f32 2 u1)))
(+.f32 -2 (neg.f32 (/.f32 2 u1)))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 u1)) (*.f32 2 (/.f32 1 (pow.f32 u1 2))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 (pow.f32 u1 2)) (/.f32 2 u1))))
(neg.f32 (+.f32 (/.f32 2 (pow.f32 u1 2)) (+.f32 2 (/.f32 2 u1))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 u1)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 u1 3))) (*.f32 2 (/.f32 1 (pow.f32 u1 2)))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 (pow.f32 u1 3)) (+.f32 (/.f32 2 (pow.f32 u1 2)) (/.f32 2 u1)))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 (pow.f32 u1 2)) (+.f32 (/.f32 2 (pow.f32 u1 3)) (/.f32 2 u1)))))
(+.f32 -2 (neg.f32 (+.f32 (/.f32 2 (pow.f32 u1 2)) (+.f32 (/.f32 2 (pow.f32 u1 3)) (/.f32 2 u1)))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 u1))))
(neg.f32 (+.f32 2 (/.f32 2 u1)))
(+.f32 -2 (neg.f32 (/.f32 2 u1)))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 u1)) (*.f32 2 (/.f32 1 (pow.f32 u1 2))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 (pow.f32 u1 2)) (/.f32 2 u1))))
(neg.f32 (+.f32 (/.f32 2 (pow.f32 u1 2)) (+.f32 2 (/.f32 2 u1))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 u1)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 u1 3))) (*.f32 2 (/.f32 1 (pow.f32 u1 2)))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 (pow.f32 u1 3)) (+.f32 (/.f32 2 (pow.f32 u1 2)) (/.f32 2 u1)))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 (pow.f32 u1 2)) (+.f32 (/.f32 2 (pow.f32 u1 3)) (/.f32 2 u1)))))
(+.f32 -2 (neg.f32 (+.f32 (/.f32 2 (pow.f32 u1 2)) (+.f32 (/.f32 2 (pow.f32 u1 3)) (/.f32 2 u1)))))
(*.f32 6 u1)
(*.f32 u1 6)
(+.f32 (*.f32 6 (pow.f32 u1 2)) (*.f32 6 u1))
(+.f32 (*.f32 u1 6) (*.f32 (pow.f32 u1 2) 6))
(*.f32 6 (+.f32 u1 (pow.f32 u1 2)))
(+.f32 (*.f32 6 (pow.f32 u1 2)) (+.f32 (*.f32 6 (pow.f32 u1 3)) (*.f32 6 u1)))
(+.f32 (*.f32 (pow.f32 u1 2) 6) (+.f32 (*.f32 u1 6) (*.f32 (pow.f32 u1 3) 6)))
(+.f32 (*.f32 (pow.f32 u1 2) 6) (*.f32 6 (+.f32 u1 (pow.f32 u1 3))))
(+.f32 (*.f32 6 (pow.f32 u1 2)) (+.f32 (*.f32 6 (pow.f32 u1 4)) (+.f32 (*.f32 6 (pow.f32 u1 3)) (*.f32 6 u1))))
(+.f32 (*.f32 (pow.f32 u1 2) 6) (+.f32 (*.f32 (pow.f32 u1 3) 6) (+.f32 (*.f32 (pow.f32 u1 4) 6) (*.f32 u1 6))))
(+.f32 (*.f32 (pow.f32 u1 2) 6) (+.f32 (*.f32 (pow.f32 u1 3) 6) (*.f32 6 (+.f32 (pow.f32 u1 4) u1))))
-6
(neg.f32 (+.f32 6 (*.f32 6 (/.f32 1 u1))))
(neg.f32 (+.f32 6 (/.f32 6 u1)))
(+.f32 -6 (neg.f32 (/.f32 6 u1)))
(neg.f32 (+.f32 (*.f32 6 (/.f32 1 u1)) (+.f32 6 (*.f32 6 (/.f32 1 (pow.f32 u1 2))))))
(neg.f32 (+.f32 6 (+.f32 (/.f32 6 u1) (/.f32 6 (pow.f32 u1 2)))))
(+.f32 -6 (neg.f32 (+.f32 (/.f32 6 u1) (/.f32 6 (pow.f32 u1 2)))))
(neg.f32 (+.f32 (*.f32 6 (/.f32 1 u1)) (+.f32 6 (+.f32 (*.f32 6 (/.f32 1 (pow.f32 u1 2))) (*.f32 6 (/.f32 1 (pow.f32 u1 3)))))))
(neg.f32 (+.f32 6 (+.f32 (/.f32 6 u1) (+.f32 (/.f32 6 (pow.f32 u1 2)) (/.f32 6 (pow.f32 u1 3))))))
-6
(neg.f32 (+.f32 6 (*.f32 6 (/.f32 1 u1))))
(neg.f32 (+.f32 6 (/.f32 6 u1)))
(+.f32 -6 (neg.f32 (/.f32 6 u1)))
(neg.f32 (+.f32 (*.f32 6 (/.f32 1 u1)) (+.f32 6 (*.f32 6 (/.f32 1 (pow.f32 u1 2))))))
(neg.f32 (+.f32 6 (+.f32 (/.f32 6 u1) (/.f32 6 (pow.f32 u1 2)))))
(+.f32 -6 (neg.f32 (+.f32 (/.f32 6 u1) (/.f32 6 (pow.f32 u1 2)))))
(neg.f32 (+.f32 (*.f32 6 (/.f32 1 u1)) (+.f32 6 (+.f32 (*.f32 6 (/.f32 1 (pow.f32 u1 2))) (*.f32 6 (/.f32 1 (pow.f32 u1 3)))))))
(neg.f32 (+.f32 6 (+.f32 (/.f32 6 u1) (+.f32 (/.f32 6 (pow.f32 u1 2)) (/.f32 6 (pow.f32 u1 3))))))
1/6
(+.f32 (*.f32 -1/6 u1) 1/6)
(+.f32 1/6 (*.f32 u1 -1/6))
(+.f32 (*.f32 -1/6 u1) 1/6)
(+.f32 1/6 (*.f32 u1 -1/6))
(+.f32 (*.f32 -1/6 u1) 1/6)
(+.f32 1/6 (*.f32 u1 -1/6))
(*.f32 -1/6 u1)
(*.f32 u1 -1/6)
(+.f32 (*.f32 -1/6 u1) 1/6)
(+.f32 1/6 (*.f32 u1 -1/6))
(+.f32 (*.f32 -1/6 u1) 1/6)
(+.f32 1/6 (*.f32 u1 -1/6))
(+.f32 (*.f32 -1/6 u1) 1/6)
(+.f32 1/6 (*.f32 u1 -1/6))
(*.f32 -1/6 u1)
(*.f32 u1 -1/6)
(+.f32 (*.f32 -1/6 u1) 1/6)
(+.f32 1/6 (*.f32 u1 -1/6))
(+.f32 (*.f32 -1/6 u1) 1/6)
(+.f32 1/6 (*.f32 u1 -1/6))
(+.f32 (*.f32 -1/6 u1) 1/6)
(+.f32 1/6 (*.f32 u1 -1/6))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6)))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 -1/6 (*.f32 u1 1/6))))
(-.f32 (/.f32 u1 (-.f32 -1/6 (*.f32 u1 -1/6))) (/.f32 -8 (/.f32 (-.f32 1 u1) u1)))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6))))))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 -1/6 (*.f32 u1 1/6))))
(-.f32 (/.f32 u1 (-.f32 -1/6 (*.f32 u1 -1/6))) (/.f32 -8 (/.f32 (-.f32 1 u1) u1)))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (*.f32 1/2 (-.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6))) (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6)))))))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 -1/6 (*.f32 u1 1/6))))
(-.f32 (/.f32 u1 (-.f32 -1/6 (*.f32 u1 -1/6))) (/.f32 -8 (/.f32 (-.f32 1 u1) u1)))
(+.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6))) 0)
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 -1/6 (*.f32 u1 1/6))))
(-.f32 (/.f32 u1 (-.f32 -1/6 (*.f32 u1 -1/6))) (/.f32 -8 (/.f32 (-.f32 1 u1) u1)))
(+.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6))) (*.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6))) 0))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 -1/6 (*.f32 u1 1/6))))
(-.f32 (/.f32 u1 (-.f32 -1/6 (*.f32 u1 -1/6))) (/.f32 -8 (/.f32 (-.f32 1 u1) u1)))
(+.f32 0 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6))))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 -1/6 (*.f32 u1 1/6))))
(-.f32 (/.f32 u1 (-.f32 -1/6 (*.f32 u1 -1/6))) (/.f32 -8 (/.f32 (-.f32 1 u1) u1)))
(+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -16) (neg.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6))))))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 -1/6 (*.f32 u1 1/6))))
(-.f32 (/.f32 u1 (-.f32 -1/6 (*.f32 u1 -1/6))) (/.f32 -8 (/.f32 (-.f32 1 u1) u1)))
(+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -16) (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (+.f32 (/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6))) (*.f32 (/.f32 u1 (+.f32 u1 -1)) -16))))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 -1/6 (*.f32 u1 1/6))))
(-.f32 (/.f32 u1 (-.f32 -1/6 (*.f32 u1 -1/6))) (/.f32 -8 (/.f32 (-.f32 1 u1) u1)))
(+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -16) (*.f32 1 (neg.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6)))))))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 -1/6 (*.f32 u1 1/6))))
(-.f32 (/.f32 u1 (-.f32 -1/6 (*.f32 u1 -1/6))) (/.f32 -8 (/.f32 (-.f32 1 u1) u1)))
(+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -16) (*.f32 1 (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (+.f32 (/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6))) (*.f32 (/.f32 u1 (+.f32 u1 -1)) -16)))))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 -1/6 (*.f32 u1 1/6))))
(-.f32 (/.f32 u1 (-.f32 -1/6 (*.f32 u1 -1/6))) (/.f32 -8 (/.f32 (-.f32 1 u1) u1)))
(+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -16) (*.f32 1/2 (-.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6))) (+.f32 (/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6))) (*.f32 (/.f32 u1 (-.f32 1 u1)) 24)))))
(+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -16) (*.f32 1/2 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (-.f32 (/.f32 u1 (+.f32 -1/6 (*.f32 u1 1/6))) (+.f32 (/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6))) (*.f32 (/.f32 u1 (-.f32 1 u1)) 24))))))
(+.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) -16) (-.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 4) (/.f32 u1 (+.f32 (*.f32 u1 1/3) -1/3))) (+.f32 (/.f32 u1 (-.f32 1/3 (*.f32 u1 1/3))) (*.f32 1/2 (/.f32 24 (/.f32 (-.f32 1 u1) u1))))))
(+.f32 (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 8))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 -1/6 (*.f32 u1 1/6))))
(-.f32 (/.f32 u1 (-.f32 -1/6 (*.f32 u1 -1/6))) (/.f32 -8 (/.f32 (-.f32 1 u1) u1)))
(+.f32 (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6)) (*.f32 -1 (-.f32 (-.f32 u1 u1) (*.f32 (/.f32 u1 (-.f32 1 u1)) 8))))
(+.f32 (/.f32 u1 (+.f32 -1/6 (*.f32 u1 1/6))) (*.f32 1 (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (-.f32 u1 u1))))
(+.f32 (-.f32 u1 u1) (-.f32 (/.f32 u1 (-.f32 -1/6 (*.f32 u1 -1/6))) (/.f32 -8 (/.f32 (-.f32 1 u1) u1))))
(+.f32 (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6)) (*.f32 -1 (-.f32 (/.f32 0 (-.f32 1/6 (*.f32 u1 1/6))) (*.f32 (/.f32 u1 (-.f32 1 u1)) 8))))
(+.f32 (/.f32 u1 (+.f32 -1/6 (*.f32 u1 1/6))) (*.f32 1 (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 0 (-.f32 1/6 (*.f32 u1 1/6))))))
(+.f32 (/.f32 0 (-.f32 -1/6 (*.f32 u1 -1/6))) (-.f32 (/.f32 u1 (-.f32 -1/6 (*.f32 u1 -1/6))) (/.f32 -8 (/.f32 (-.f32 1 u1) u1))))
(+.f32 (/.f32 u1 (+.f32 -1/6 (*.f32 u1 1/6))) (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 0 (+.f32 1/6 (*.f32 u1 -1/6)))))
(+.f32 (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6))))) (*.f32 (/.f32 u1 (-.f32 1 u1)) 8))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 -1/6 (*.f32 u1 1/6))))
(-.f32 (/.f32 u1 (-.f32 -1/6 (*.f32 u1 -1/6))) (/.f32 -8 (/.f32 (-.f32 1 u1) u1)))
(+.f32 (+.f32 (/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6))) (*.f32 (/.f32 u1 (-.f32 1 u1)) -8)) (*.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6))) 2))
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(/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6)))
(/.f32 u1 (+.f32 1/6 (*.f32 u1 -1/6)))
(*.f32 (/.f32 1/2 (-.f32 1/6 (*.f32 u1 1/6))) (+.f32 u1 u1))
(/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6)))
(/.f32 u1 (+.f32 1/6 (*.f32 u1 -1/6)))
(*.f32 (/.f32 2 (-.f32 1/6 (*.f32 u1 1/6))) (*.f32 u1 1/2))
(/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6)))
(/.f32 u1 (+.f32 1/6 (*.f32 u1 -1/6)))
(*.f32 (*.f32 u1 1/2) (/.f32 2 (-.f32 1/6 (*.f32 u1 1/6))))
(/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6)))
(/.f32 u1 (+.f32 1/6 (*.f32 u1 -1/6)))
(*.f32 (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6)) -1)
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(/.f32 u1 (+.f32 1/6 (*.f32 u1 -1/6)))
(*.f32 (/.f32 1 (+.f32 (*.f32 u1 1/6) -1/6)) (neg.f32 u1))
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(/.f32 u1 (+.f32 1/6 (*.f32 u1 -1/6)))
(*.f32 -2 (*.f32 u1 (/.f32 1/2 (+.f32 (*.f32 u1 1/6) -1/6))))
(/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6)))
(/.f32 u1 (+.f32 1/6 (*.f32 u1 -1/6)))
(*.f32 -2 (/.f32 1/2 (/.f32 (+.f32 (*.f32 u1 1/6) -1/6) u1)))
(/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6)))
(/.f32 u1 (+.f32 1/6 (*.f32 u1 -1/6)))
(*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1/6 (*.f32 u1 1/6))) 1/2)
(/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6)))
(/.f32 u1 (+.f32 1/6 (*.f32 u1 -1/6)))
(*.f32 (/.f32 1/2 (/.f32 (-.f32 1/6 (*.f32 u1 1/6)) u1)) 2)
(/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6)))
(/.f32 u1 (+.f32 1/6 (*.f32 u1 -1/6)))
(*.f32 (*.f32 u1 -2) (/.f32 1/2 (+.f32 (*.f32 u1 1/6) -1/6)))
(/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6)))
(/.f32 u1 (+.f32 1/6 (*.f32 u1 -1/6)))
(*.f32 (*.f32 u1 -2) (neg.f32 (/.f32 1/2 (-.f32 1/6 (*.f32 u1 1/6)))))
(/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6)))
(/.f32 u1 (+.f32 1/6 (*.f32 u1 -1/6)))
(*.f32 (/.f32 1/2 (+.f32 (*.f32 u1 1/6) -1/6)) (*.f32 u1 -2))
(/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6)))
(/.f32 u1 (+.f32 1/6 (*.f32 u1 -1/6)))
(*.f32 (neg.f32 (*.f32 u1 1/2)) (/.f32 2 (+.f32 (*.f32 u1 1/6) -1/6)))
(/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6)))
(/.f32 u1 (+.f32 1/6 (*.f32 u1 -1/6)))
(*.f32 (neg.f32 (*.f32 u1 1/2)) (neg.f32 (/.f32 2 (-.f32 1/6 (*.f32 u1 1/6)))))
(/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6)))
(/.f32 u1 (+.f32 1/6 (*.f32 u1 -1/6)))
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(/.f32 u1 (+.f32 1/6 (*.f32 u1 -1/6)))
(*.f32 (neg.f32 (/.f32 2 (-.f32 1/6 (*.f32 u1 1/6)))) (neg.f32 (*.f32 u1 1/2)))
(/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6)))
(/.f32 u1 (+.f32 1/6 (*.f32 u1 -1/6)))
(*.f32 (neg.f32 (/.f32 2 (-.f32 1/6 (*.f32 u1 1/6)))) (/.f32 1/2 (/.f32 -1 u1)))
(/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6)))
(/.f32 u1 (+.f32 1/6 (*.f32 u1 -1/6)))
(*.f32 (+.f32 (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6)) (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6))) -1/2)
(/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6)))
(/.f32 u1 (+.f32 1/6 (*.f32 u1 -1/6)))
(neg.f32 (/.f32 u1 (+.f32 (*.f32 u1 1/6) -1/6)))
(/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6)))
(/.f32 u1 (+.f32 1/6 (*.f32 u1 -1/6)))
(neg.f32 (*.f32 (/.f32 1 (+.f32 (*.f32 u1 1/6) -1/6)) u1))
(/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6)))
(/.f32 u1 (+.f32 1/6 (*.f32 u1 -1/6)))
(neg.f32 (*.f32 (neg.f32 u1) (/.f32 1 (-.f32 1/6 (*.f32 u1 1/6)))))
(/.f32 u1 (-.f32 1/6 (*.f32 u1 1/6)))
(/.f32 u1 (+.f32 1/6 (*.f32 u1 -1/6)))
(+.f32 1/6 (/.f32 (neg.f32 u1) 6))
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(+.f32 1/12 (*.f32 1/2 (-.f32 (-.f32 1/6 (*.f32 u1 1/6)) (*.f32 u1 1/6))))
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(+.f32 (/.f32 (neg.f32 u1) 6) 1/6)
(+.f32 1/6 (/.f32 (neg.f32 u1) 6))
(+.f32 1/6 (/.f32 u1 -6))
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(+.f32 (/.f32 (neg.f32 u1) 6) (-.f32 (*.f32 u1 -1/6) (neg.f32 (+.f32 1/6 (*.f32 u1 1/6)))))
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(+.f32 2/3 (neg.f32 (+.f32 (*.f32 u1 1/6) 1/2)))
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(+.f32 2/3 (*.f32 1 (neg.f32 (+.f32 (*.f32 u1 1/6) 1/2))))
(+.f32 2/3 (neg.f32 (+.f32 (*.f32 u1 1/6) 1/2)))
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(+.f32 (*.f32 (-.f32 1/6 (*.f32 u1 1/6)) 1/2) (*.f32 (-.f32 1/6 (*.f32 u1 1/6)) 1/2))
(+.f32 1/6 (*.f32 u1 -1/6))
(+.f32 (*.f32 (-.f32 1/6 (*.f32 u1 1/6)) 0) (-.f32 1/6 (*.f32 u1 1/6)))
(+.f32 1/6 (*.f32 u1 -1/6))
(+.f32 (neg.f32 (+.f32 1/6 (*.f32 u1 1/6))) 1/3)
(+.f32 1/6 (*.f32 u1 -1/6))
(+.f32 (neg.f32 (+.f32 (*.f32 u1 1/6) 1/2)) 2/3)
(+.f32 2/3 (neg.f32 (+.f32 (*.f32 u1 1/6) 1/2)))
(+.f32 2/3 (+.f32 -1/2 (*.f32 u1 -1/6)))
(+.f32 (*.f32 (+.f32 1/6 (*.f32 u1 1/6)) -1) 1/3)
(+.f32 1/6 (*.f32 u1 -1/6))
(*.f32 1 (-.f32 1/6 (*.f32 u1 1/6)))
(+.f32 1/6 (*.f32 u1 -1/6))
(*.f32 (-.f32 1/6 (*.f32 u1 1/6)) 1)
(+.f32 1/6 (*.f32 u1 -1/6))
(*.f32 -1 (+.f32 (*.f32 u1 1/6) -1/6))
(+.f32 1/6 (*.f32 u1 -1/6))
(*.f32 (+.f32 (*.f32 u1 1/6) -1/6) -1)
(+.f32 1/6 (*.f32 u1 -1/6))
(*.f32 2 (*.f32 (-.f32 1/6 (*.f32 u1 1/6)) 1/2))
(+.f32 1/6 (*.f32 u1 -1/6))
(*.f32 2 (-.f32 (-.f32 1/6 (*.f32 u1 1/6)) (*.f32 (-.f32 1/6 (*.f32 u1 1/6)) 1/2)))
(+.f32 1/6 (*.f32 u1 -1/6))
(*.f32 1/2 (-.f32 1/3 (/.f32 (*.f32 u1 1/6) 1/2)))
(+.f32 1/6 (*.f32 u1 -1/6))
(*.f32 -2 (/.f32 1/2 (/.f32 1 (+.f32 (*.f32 u1 1/6) -1/6))))
(+.f32 1/6 (*.f32 u1 -1/6))
(*.f32 (-.f32 1/3 (/.f32 (*.f32 u1 1/6) 1/2)) 1/2)
(+.f32 1/6 (*.f32 u1 -1/6))
(*.f32 (*.f32 (-.f32 1/6 (*.f32 u1 1/6)) 1/2) 2)
(+.f32 1/6 (*.f32 u1 -1/6))
(*.f32 (+.f32 (*.f32 (+.f32 u1 u1) 1/6) -1/3) -1/2)
(+.f32 1/6 (*.f32 u1 -1/6))
(/.f32 1 (/.f32 1 (-.f32 1/6 (*.f32 u1 1/6))))
(+.f32 1/6 (*.f32 u1 -1/6))
(/.f32 (-.f32 1/6 (*.f32 u1 1/6)) 1)
(+.f32 1/6 (*.f32 u1 -1/6))
(/.f32 -1 (/.f32 1 (+.f32 (*.f32 u1 1/6) -1/6)))
(+.f32 1/6 (*.f32 u1 -1/6))
(/.f32 (+.f32 (*.f32 u1 1/6) -1/6) -1)
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(/.f32 2 (/.f32 2 (-.f32 1/6 (*.f32 u1 1/6))))
(+.f32 1/6 (*.f32 u1 -1/6))
(/.f32 1/2 (/.f32 1/2 (-.f32 1/6 (*.f32 u1 1/6))))
(+.f32 1/6 (*.f32 u1 -1/6))
(/.f32 -1/2 (/.f32 1/2 (+.f32 (*.f32 u1 1/6) -1/6)))
(+.f32 1/6 (*.f32 u1 -1/6))
(/.f32 -1/2 (neg.f32 (/.f32 1/2 (-.f32 1/6 (*.f32 u1 1/6)))))
(+.f32 1/6 (*.f32 u1 -1/6))
(/.f32 (-.f32 1/3 (/.f32 (*.f32 u1 1/6) 1/2)) 2)
(+.f32 1/6 (*.f32 u1 -1/6))
(/.f32 (*.f32 (-.f32 1/6 (*.f32 u1 1/6)) 1/2) 1/2)
(+.f32 1/6 (*.f32 u1 -1/6))
(/.f32 (-.f32 (neg.f32 (+.f32 1/6 (*.f32 u1 1/6))) (+.f32 (/.f32 (neg.f32 u1) 6) (/.f32 (neg.f32 u1) 6))) -1)
(neg.f32 (-.f32 (neg.f32 (+.f32 1/6 (*.f32 u1 1/6))) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) 6)))
(-.f32 (/.f32 (neg.f32 (+.f32 u1 u1)) 6) (+.f32 -1/6 (*.f32 u1 -1/6)))
(-.f32 (/.f32 (*.f32 u1 -2) 6) (+.f32 -1/6 (*.f32 u1 -1/6)))
(/.f32 (-.f32 (-.f32 1/6 (*.f32 u1 1/6)) (*.f32 (-.f32 1/6 (*.f32 u1 1/6)) 1/2)) 1/2)
(+.f32 1/6 (*.f32 u1 -1/6))
(/.f32 (-.f32 (/.f32 (+.f32 (*.f32 u1 1/6) -1/6) 1/2) (+.f32 (*.f32 u1 1/6) -1/6)) -1)
(+.f32 1/6 (*.f32 u1 -1/6))
(/.f32 (+.f32 (/.f32 (+.f32 (*.f32 u1 1/6) -1/6) 1/2) (-.f32 1/6 (*.f32 u1 1/6))) -1)
(+.f32 1/6 (*.f32 u1 -1/6))
(/.f32 (+.f32 (+.f32 (*.f32 (+.f32 u1 u1) 1/6) -1/3) (-.f32 1/6 (*.f32 u1 1/6))) -1)
(+.f32 1/6 (*.f32 u1 -1/6))
(neg.f32 (+.f32 (*.f32 u1 1/6) -1/6))
(+.f32 1/6 (*.f32 u1 -1/6))

eval995.0ms (7%)

Compiler

Compiled 50560 to 37754 computations (25.3% saved)

prune635.0ms (4.5%)

Pruning

53 alts after pruning (43 fresh and 10 done)

PrunedKeptTotal
New1916181934
Fresh42529
Picked101
Done11011
Total1922531975
Error
0.0b
Counts
1975 → 53
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.4b
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (cos.f32 (/.f32 1 (*.f32 (/.f32 1 u2) 50000000000/314159265359)))))
0.4b
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (cos.f32 (-.f32 (*.f32 u2 942477796077/50000000000) (*.f32 u2 314159265359/25000000000)))))
✓0.4b
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
7.8b
(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
0.4b
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
7.8b
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (sqrt.f32 u1)))
0.4b
(/.f32 1 (/.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
6.3b
(/.f32 1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
0.4b
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
1.9b
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (+.f32 (/.f32 (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2) (-.f32 (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))))
0.7b
(-.f32 (*.f32 (sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 1 u1) u1)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
12.6b
(-.f32 (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 (sqrt.f32 u1) 3))
✓0.3b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓0.3b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 -314159265359/25000000000 (/.f32 1/2 (/.f32 -1 u2)))))
0.4b
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (+.f32 u1 (-.f32 u1 2)) -1/2))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.3b
(*.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.8b
(*.f32 (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 u1 8) (*.f32 u1 6)) (-.f32 1 u1)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.5b
(*.f32 (sqrt.f32 (-.f32 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (+.f32 2 (/.f32 u1 -1/2))) (/.f32 u1 (/.f32 (-.f32 1 u1) 1/2)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.8b
(*.f32 (sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 4 (+.f32 u1 3)) u1)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.4b
(*.f32 (sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 1 u1) u1)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
0.4b
(*.f32 (sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 1 u1) u1)) (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
1.5b
(*.f32 (sqrt.f32 (-.f32 (-.f32 (/.f32 u1 (+.f32 1/6 (/.f32 u1 -6))) (/.f32 (+.f32 (*.f32 u1 -6) (+.f32 u1 u1)) (+.f32 u1 -1))) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.9b
(*.f32 (sqrt.f32 (-.f32 (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (*.f32 (/.f32 u1 (-.f32 1 u1)) 6)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (-.f32 (-.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 -314159265359/50000000000)) (*.f32 u2 314159265359/25000000000))))
0.7b
(*.f32 (sqrt.f32 (-.f32 (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 3) (/.f32 u1 (-.f32 1 u1))) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
1.8b
(*.f32 (sqrt.f32 (-.f32 (+.f32 (/.f32 -14 (/.f32 (-.f32 1 u1) u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 16)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
2.4b
(*.f32 (sqrt.f32 (-.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 30) (-.f32 (/.f32 4 (/.f32 (-.f32 1 u1) u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 32))) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
1.5b
(*.f32 (sqrt.f32 (-.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 12) (-.f32 (*.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 2) 2) (*.f32 (/.f32 u1 (-.f32 1 u1)) 14))) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
1.2b
(*.f32 (sqrt.f32 (-.f32 (*.f32 (+.f32 u1 u1) (-.f32 (/.f32 4 (-.f32 1 u1)) (/.f32 1/2 (-.f32 1/6 (*.f32 u1 1/6))))) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.5b
(*.f32 (sqrt.f32 (-.f32 (*.f32 u1 (/.f32 -2 (+.f32 u1 -1))) (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓0.4b
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
4.1b
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 1) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
7.8b
(*.f32 (sqrt.f32 u1) (cos.f32 (/.f32 u2 50000000000/314159265359)))
✓7.8b
(*.f32 (sqrt.f32 u1) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
✓7.8b
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
8.0b
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (-.f32 (*.f32 (sqrt.f32 u1) 4) (*.f32 (sqrt.f32 u1) 3)))
6.3b
(sqrt.f32 (/.f32 (/.f32 1 (+.f32 u1 -1)) (/.f32 -1 u1)))
6.4b
(sqrt.f32 (/.f32 (-.f32 (/.f32 (+.f32 u1 u1) 1/2) (+.f32 u1 (+.f32 u1 u1))) (-.f32 1 u1)))
✓6.3b
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
6.3b
(sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1)))
6.3b
(sqrt.f32 (/.f32 1/2 (/.f32 (/.f32 1/2 u1) (/.f32 -1 (+.f32 u1 -1)))))
6.6b
(sqrt.f32 (-.f32 (/.f32 (+.f32 (/.f32 -2 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) (/.f32 1 u1)) (/.f32 (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) (/.f32 1 u1))))
6.5b
(sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1))))
6.4b
(sqrt.f32 (-.f32 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (+.f32 2 (/.f32 u1 -1/2))) (/.f32 u1 (/.f32 (-.f32 1 u1) 1/2))))
6.4b
(sqrt.f32 (-.f32 (/.f32 u1 (+.f32 u1 -1)) (/.f32 (/.f32 -2 (+.f32 u1 -1)) (/.f32 -1 u1))))
6.3b
(sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 1 u1) u1)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1)))))
6.4b
(sqrt.f32 (-.f32 (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)))
6.4b
(sqrt.f32 (-.f32 (*.f32 u1 (/.f32 -2 (+.f32 u1 -1))) (/.f32 u1 (-.f32 1 u1))))
✓6.3b
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
6.4b
(sqrt.f32 (*.f32 (-.f32 (/.f32 -3 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) u1))
8.2b
(sqrt.f32 (*.f32 (+.f32 (pow.f32 u1 2) (+.f32 u1 1)) u1))
9.0b
(sqrt.f32 (*.f32 (+.f32 u1 1) u1))
6.3b
(sqrt.f32 (*.f32 u1 (/.f32 -2 (+.f32 u1 (-.f32 u1 2)))))
✓11.6b
(sqrt.f32 u1)
Compiler

Compiled 1163 to 888 computations (23.6% saved)

regimes277.0ms (2%)

Counts
75 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(sqrt.f32 (*.f32 (+.f32 u1 1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1)))
(sqrt.f32 (*.f32 u1 (/.f32 -2 (+.f32 u1 (-.f32 u1 2)))))
(sqrt.f32 (/.f32 (/.f32 1 (+.f32 u1 -1)) (/.f32 -1 u1)))
(/.f32 1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 1/2 (/.f32 (/.f32 1/2 u1) (/.f32 -1 (+.f32 u1 -1)))))
(sqrt.f32 (*.f32 (-.f32 (/.f32 -3 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) u1))
(sqrt.f32 (-.f32 (*.f32 u1 (/.f32 -2 (+.f32 u1 -1))) (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (-.f32 (/.f32 u1 (+.f32 u1 -1)) (/.f32 (/.f32 -2 (+.f32 u1 -1)) (/.f32 -1 u1))))
(sqrt.f32 (/.f32 (-.f32 (/.f32 (+.f32 u1 u1) 1/2) (+.f32 u1 (+.f32 u1 u1))) (-.f32 1 u1)))
(sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 1 u1) u1)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1)))))
(sqrt.f32 (-.f32 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (+.f32 2 (/.f32 u1 -1/2))) (/.f32 u1 (/.f32 (-.f32 1 u1) 1/2))))
(sqrt.f32 (-.f32 (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)))
(sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1))))
(sqrt.f32 (-.f32 (/.f32 (+.f32 (/.f32 -2 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) (/.f32 1 u1)) (/.f32 (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) (/.f32 1 u1))))
(sqrt.f32 (+.f32 (pow.f32 u1 2) u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (/.f32 u2 50000000000/314159265359)))
(*.f32 (sqrt.f32 u1) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(sqrt.f32 (*.f32 (+.f32 (pow.f32 u1 2) (+.f32 u1 1)) u1))
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 1) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (+.f32 u1 (-.f32 u1 2)) -1/2))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 -314159265359/25000000000 (/.f32 1/2 (/.f32 -1 u2)))))
(-.f32 (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 (sqrt.f32 u1) 3))
(/.f32 1/2 (/.f32 (/.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 1 (/.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (-.f32 (/.f32 (*.f32 u2 942477796077/50000000000) 2) (/.f32 u2 100000000000/314159265359))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (cos.f32 (-.f32 (*.f32 u2 942477796077/50000000000) (*.f32 u2 314159265359/25000000000)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (cos.f32 (/.f32 1 (*.f32 (/.f32 1 u2) 50000000000/314159265359)))))
(*.f32 (sqrt.f32 (-.f32 (*.f32 u1 (/.f32 -2 (+.f32 u1 -1))) (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 1 u1) u1)) (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (-.f32 (-.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 -314159265359/50000000000)) (*.f32 u2 314159265359/25000000000))))
(-.f32 (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3))
(*.f32 (sqrt.f32 (-.f32 (*.f32 (/.f32 -2 (+.f32 u1 -1)) u1) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 1 u1) u1)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (-.f32 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (+.f32 2 (/.f32 u1 -1/2))) (/.f32 u1 (/.f32 (-.f32 1 u1) 1/2)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 1 u1) u1)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
(*.f32 (sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 4 (+.f32 u1 3)) u1)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 u1 8) (*.f32 u1 6)) (-.f32 1 u1)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (-.f32 (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 3) (/.f32 u1 (-.f32 1 u1))) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (-.f32 (+.f32 (/.f32 -14 (/.f32 (-.f32 1 u1) u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 16)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (-.f32 (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (*.f32 (/.f32 u1 (-.f32 1 u1)) 6)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (-.f32 (*.f32 (+.f32 u1 u1) (-.f32 (/.f32 4 (-.f32 1 u1)) (/.f32 1/2 (-.f32 1/6 (*.f32 u1 1/6))))) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (-.f32 (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (/.f32 (/.f32 1 (-.f32 1/6 (/.f32 u1 6))) (/.f32 1 u1))) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (-.f32 (-.f32 (/.f32 u1 (+.f32 1/6 (/.f32 u1 -6))) (/.f32 (+.f32 (*.f32 u1 -6) (+.f32 u1 u1)) (+.f32 u1 -1))) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (-.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 30) (-.f32 (/.f32 4 (/.f32 (-.f32 1 u1) u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 32))) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (-.f32 (-.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 8) (*.f32 (/.f32 u1 (-.f32 1 u1)) 6)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (-.f32 (-.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 -314159265359/50000000000)) (*.f32 u2 314159265359/25000000000))))
(*.f32 (sqrt.f32 (-.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 12) (-.f32 (*.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 2) 2) (*.f32 (/.f32 u1 (-.f32 1 u1)) 14))) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (-.f32 (-.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 3) (*.f32 (/.f32 u1 (-.f32 1 u1)) 3)) (+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 3) (/.f32 u1 (-.f32 1 u1)))) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (-.f32 (*.f32 (sqrt.f32 u1) 4) (*.f32 (sqrt.f32 u1) 3)))
(/.f32 (-.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/2) (*.f32 1/2 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))) (/.f32 -1 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (/.f32 1 (sqrt.f32 u1)))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 4 (/.f32 1/2 (/.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(-.f32 (*.f32 (sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 1 u1) u1)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1))))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (*.f32 (sqrt.f32 (-.f32 (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))
(-.f32 (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (-.f32 (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (+.f32 (/.f32 (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2) (-.f32 (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 -314159265359/25000000000 (/.f32 1/2 (/.f32 -1 u2)))))
Calls

8 calls:

39.0ms
(/.f32 u1 (-.f32 1 u1))
31.0ms
(*.f32 314159265359/50000000000 u2)
31.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
30.0ms
u2
30.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
Results
ErrorSegmentsBranch
0.3b1cosTheta_i
0.3b1u1
0.3b1u2
0.3b1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.3b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
0.3b1(/.f32 u1 (-.f32 1 u1))
0.3b1(cos.f32 (*.f32 314159265359/50000000000 u2))
0.3b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 1662 to 1160 computations (30.2% saved)

regimes127.0ms (0.9%)

Counts
34 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(sqrt.f32 (*.f32 (+.f32 u1 1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1)))
(sqrt.f32 (*.f32 u1 (/.f32 -2 (+.f32 u1 (-.f32 u1 2)))))
(sqrt.f32 (/.f32 (/.f32 1 (+.f32 u1 -1)) (/.f32 -1 u1)))
(/.f32 1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 1/2 (/.f32 (/.f32 1/2 u1) (/.f32 -1 (+.f32 u1 -1)))))
(sqrt.f32 (*.f32 (-.f32 (/.f32 -3 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) u1))
(sqrt.f32 (-.f32 (*.f32 u1 (/.f32 -2 (+.f32 u1 -1))) (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (-.f32 (/.f32 u1 (+.f32 u1 -1)) (/.f32 (/.f32 -2 (+.f32 u1 -1)) (/.f32 -1 u1))))
(sqrt.f32 (/.f32 (-.f32 (/.f32 (+.f32 u1 u1) 1/2) (+.f32 u1 (+.f32 u1 u1))) (-.f32 1 u1)))
(sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 1 u1) u1)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1)))))
(sqrt.f32 (-.f32 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (+.f32 2 (/.f32 u1 -1/2))) (/.f32 u1 (/.f32 (-.f32 1 u1) 1/2))))
(sqrt.f32 (-.f32 (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)))
(sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1))))
(sqrt.f32 (-.f32 (/.f32 (+.f32 (/.f32 -2 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) (/.f32 1 u1)) (/.f32 (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) (/.f32 1 u1))))
(sqrt.f32 (+.f32 (pow.f32 u1 2) u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (/.f32 u2 50000000000/314159265359)))
(*.f32 (sqrt.f32 u1) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(sqrt.f32 (*.f32 (+.f32 (pow.f32 u1 2) (+.f32 u1 1)) u1))
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 1) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (+.f32 u1 (-.f32 u1 2)) -1/2))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
Calls

8 calls:

15.0ms
u2
15.0ms
(*.f32 314159265359/50000000000 u2)
15.0ms
(/.f32 u1 (-.f32 1 u1))
15.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
15.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
Results
ErrorSegmentsBranch
0.3b1cosTheta_i
0.3b1u1
0.3b1u2
0.3b1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.3b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
0.3b1(/.f32 u1 (-.f32 1 u1))
0.3b1(cos.f32 (*.f32 314159265359/50000000000 u2))
0.3b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 479 to 342 computations (28.6% saved)

regimes113.0ms (0.8%)

Counts
29 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(sqrt.f32 (*.f32 (+.f32 u1 1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1)))
(sqrt.f32 (*.f32 u1 (/.f32 -2 (+.f32 u1 (-.f32 u1 2)))))
(sqrt.f32 (/.f32 (/.f32 1 (+.f32 u1 -1)) (/.f32 -1 u1)))
(/.f32 1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 1/2 (/.f32 (/.f32 1/2 u1) (/.f32 -1 (+.f32 u1 -1)))))
(sqrt.f32 (*.f32 (-.f32 (/.f32 -3 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) u1))
(sqrt.f32 (-.f32 (*.f32 u1 (/.f32 -2 (+.f32 u1 -1))) (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (-.f32 (/.f32 u1 (+.f32 u1 -1)) (/.f32 (/.f32 -2 (+.f32 u1 -1)) (/.f32 -1 u1))))
(sqrt.f32 (/.f32 (-.f32 (/.f32 (+.f32 u1 u1) 1/2) (+.f32 u1 (+.f32 u1 u1))) (-.f32 1 u1)))
(sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 1 u1) u1)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1)))))
(sqrt.f32 (-.f32 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (+.f32 2 (/.f32 u1 -1/2))) (/.f32 u1 (/.f32 (-.f32 1 u1) 1/2))))
(sqrt.f32 (-.f32 (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)))
(sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1))))
(sqrt.f32 (-.f32 (/.f32 (+.f32 (/.f32 -2 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) (/.f32 1 u1)) (/.f32 (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) (/.f32 1 u1))))
(sqrt.f32 (+.f32 (pow.f32 u1 2) u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (/.f32 u2 50000000000/314159265359)))
(*.f32 (sqrt.f32 u1) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(sqrt.f32 (*.f32 (+.f32 (pow.f32 u1 2) (+.f32 u1 1)) u1))
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 1) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
Calls

8 calls:

14.0ms
(*.f32 314159265359/50000000000 u2)
14.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
14.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
13.0ms
(/.f32 u1 (-.f32 1 u1))
13.0ms
u2
Results
ErrorSegmentsBranch
0.3b1cosTheta_i
0.3b1u1
0.3b1u2
0.3b1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.3b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
0.3b1(/.f32 u1 (-.f32 1 u1))
0.3b1(cos.f32 (*.f32 314159265359/50000000000 u2))
0.3b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 412 to 291 computations (29.4% saved)

regimes229.0ms (1.6%)

Counts
26 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(sqrt.f32 (*.f32 (+.f32 u1 1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1)))
(sqrt.f32 (*.f32 u1 (/.f32 -2 (+.f32 u1 (-.f32 u1 2)))))
(sqrt.f32 (/.f32 (/.f32 1 (+.f32 u1 -1)) (/.f32 -1 u1)))
(/.f32 1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 1/2 (/.f32 (/.f32 1/2 u1) (/.f32 -1 (+.f32 u1 -1)))))
(sqrt.f32 (*.f32 (-.f32 (/.f32 -3 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) u1))
(sqrt.f32 (-.f32 (*.f32 u1 (/.f32 -2 (+.f32 u1 -1))) (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (-.f32 (/.f32 u1 (+.f32 u1 -1)) (/.f32 (/.f32 -2 (+.f32 u1 -1)) (/.f32 -1 u1))))
(sqrt.f32 (/.f32 (-.f32 (/.f32 (+.f32 u1 u1) 1/2) (+.f32 u1 (+.f32 u1 u1))) (-.f32 1 u1)))
(sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 1 u1) u1)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1)))))
(sqrt.f32 (-.f32 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (+.f32 2 (/.f32 u1 -1/2))) (/.f32 u1 (/.f32 (-.f32 1 u1) 1/2))))
(sqrt.f32 (-.f32 (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)))
(sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1))))
(sqrt.f32 (-.f32 (/.f32 (+.f32 (/.f32 -2 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) (/.f32 1 u1)) (/.f32 (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) (/.f32 1 u1))))
(sqrt.f32 (+.f32 (pow.f32 u1 2) u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (/.f32 u2 50000000000/314159265359)))
(*.f32 (sqrt.f32 u1) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(sqrt.f32 (*.f32 (+.f32 (pow.f32 u1 2) (+.f32 u1 1)) u1))
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 1) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
Outputs
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 1) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
Calls

7 calls:

61.0ms
(cos.f32 (*.f32 314159265359/50000000000 u2))
53.0ms
(/.f32 u1 (-.f32 1 u1))
25.0ms
(*.f32 314159265359/50000000000 u2)
24.0ms
u2
23.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
Results
ErrorSegmentsBranch
4.1b1cosTheta_i
1.7b2u1
1.6b2u2
1.7b2(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
1.7b2(/.f32 u1 (-.f32 1 u1))
1.6b2(cos.f32 (*.f32 314159265359/50000000000 u2))
1.6b2(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 361 to 252 computations (30.2% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9999988675117493
0.9999992251396179
Compiler

Compiled 20 to 16 computations (20% saved)

regimes225.0ms (1.6%)

Counts
25 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(sqrt.f32 (*.f32 (+.f32 u1 1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1)))
(sqrt.f32 (*.f32 u1 (/.f32 -2 (+.f32 u1 (-.f32 u1 2)))))
(sqrt.f32 (/.f32 (/.f32 1 (+.f32 u1 -1)) (/.f32 -1 u1)))
(/.f32 1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 1/2 (/.f32 (/.f32 1/2 u1) (/.f32 -1 (+.f32 u1 -1)))))
(sqrt.f32 (*.f32 (-.f32 (/.f32 -3 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) u1))
(sqrt.f32 (-.f32 (*.f32 u1 (/.f32 -2 (+.f32 u1 -1))) (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (-.f32 (/.f32 u1 (+.f32 u1 -1)) (/.f32 (/.f32 -2 (+.f32 u1 -1)) (/.f32 -1 u1))))
(sqrt.f32 (/.f32 (-.f32 (/.f32 (+.f32 u1 u1) 1/2) (+.f32 u1 (+.f32 u1 u1))) (-.f32 1 u1)))
(sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 1 u1) u1)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1)))))
(sqrt.f32 (-.f32 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (+.f32 2 (/.f32 u1 -1/2))) (/.f32 u1 (/.f32 (-.f32 1 u1) 1/2))))
(sqrt.f32 (-.f32 (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)))
(sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1))))
(sqrt.f32 (-.f32 (/.f32 (+.f32 (/.f32 -2 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) (/.f32 1 u1)) (/.f32 (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) (/.f32 1 u1))))
(sqrt.f32 (+.f32 (pow.f32 u1 2) u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (/.f32 u2 50000000000/314159265359)))
(*.f32 (sqrt.f32 u1) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(sqrt.f32 (*.f32 (+.f32 (pow.f32 u1 2) (+.f32 u1 1)) u1))
Outputs
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
Calls

7 calls:

60.0ms
u2
36.0ms
u1
36.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
34.0ms
(/.f32 u1 (-.f32 1 u1))
23.0ms
(*.f32 314159265359/50000000000 u2)
Results
ErrorSegmentsBranch
6.3b1cosTheta_i
3.3b2u1
2.8b2u2
3.3b2(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
3.3b2(/.f32 u1 (-.f32 1 u1))
2.8b2(cos.f32 (*.f32 314159265359/50000000000 u2))
2.8b2(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 350 to 244 computations (30.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0033964896574616432
0.0034442797768861055
Compiler

Compiled 20 to 16 computations (20% saved)

regimes79.0ms (0.6%)

Counts
19 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(sqrt.f32 (*.f32 (+.f32 u1 1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1)))
(sqrt.f32 (*.f32 u1 (/.f32 -2 (+.f32 u1 (-.f32 u1 2)))))
(sqrt.f32 (/.f32 (/.f32 1 (+.f32 u1 -1)) (/.f32 -1 u1)))
(/.f32 1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 1/2 (/.f32 (/.f32 1/2 u1) (/.f32 -1 (+.f32 u1 -1)))))
(sqrt.f32 (*.f32 (-.f32 (/.f32 -3 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) u1))
(sqrt.f32 (-.f32 (*.f32 u1 (/.f32 -2 (+.f32 u1 -1))) (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (-.f32 (/.f32 u1 (+.f32 u1 -1)) (/.f32 (/.f32 -2 (+.f32 u1 -1)) (/.f32 -1 u1))))
(sqrt.f32 (/.f32 (-.f32 (/.f32 (+.f32 u1 u1) 1/2) (+.f32 u1 (+.f32 u1 u1))) (-.f32 1 u1)))
(sqrt.f32 (-.f32 (/.f32 2 (/.f32 (-.f32 1 u1) u1)) (/.f32 (+.f32 (neg.f32 u1) (neg.f32 u1)) (+.f32 -2 (+.f32 u1 u1)))))
(sqrt.f32 (-.f32 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (+.f32 2 (/.f32 u1 -1/2))) (/.f32 u1 (/.f32 (-.f32 1 u1) 1/2))))
(sqrt.f32 (-.f32 (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)) (*.f32 (/.f32 u1 (-.f32 1 u1)) 2)))
(sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1))))
(sqrt.f32 (-.f32 (/.f32 (+.f32 (/.f32 -2 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) (/.f32 1 u1)) (/.f32 (+.f32 (/.f32 -1 (+.f32 u1 -1)) (/.f32 -2 (+.f32 u1 -1))) (/.f32 1 u1))))
(sqrt.f32 (+.f32 (pow.f32 u1 2) u1))
Outputs
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
Calls

5 calls:

35.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
10.0ms
(/.f32 u1 (-.f32 1 u1))
10.0ms
u1
9.0ms
cosTheta_i
9.0ms
u2
Results
ErrorSegmentsBranch
6.3b1cosTheta_i
6.3b1u1
6.3b1u2
6.3b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
6.3b1(/.f32 u1 (-.f32 1 u1))
Compiler

Compiled 286 to 200 computations (30.1% saved)

regimes10.0ms (0.1%)

Accuracy

Total -2.6b remaining (-29%)

Threshold costs -2.6b (-29%)

Counts
2 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(sqrt.f32 (*.f32 (+.f32 u1 1) u1))
Outputs
(sqrt.f32 (*.f32 (+.f32 u1 1) u1))
Calls

3 calls:

4.0ms
u1
3.0ms
u2
3.0ms
cosTheta_i
Results
ErrorSegmentsBranch
9.0b1cosTheta_i
9.0b1u1
9.0b1u2
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify5.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040278
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 -314159265359/25000000000 (/.f32 1/2 (/.f32 -1 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(if (<=.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 16777199/16777216) (*.f32 (sqrt.f32 (*.f32 (+.f32 u1 1) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(if (<=.f32 (*.f32 314159265359/50000000000 u2) 14602889/4294967296) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (+.f32 u1 1) u1))
(sqrt.f32 u1)
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 -314159265359/25000000000 (/.f32 1/2 (/.f32 -1 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(if (<=.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 16777199/16777216) (*.f32 (sqrt.f32 (*.f32 (+.f32 u1 1) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(if (<=.f32 (*.f32 314159265359/50000000000 u2) 14602889/4294967296) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (+.f32 u1 1) u1))
(sqrt.f32 u1)
Compiler

Compiled 120 to 95 computations (20.8% saved)

soundness0.0ms (0%)

end55.0ms (0.4%)

Compiler

Compiled 99 to 73 computations (26.3% saved)

Profiling

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