Details

Time bar (total: 19.5s)

analyze172.0ms (0.9%)

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)

sample2.1s (10.7%)

Results
2.1s8256×body256valid
1.0ms3×body256precondition
Bogosity

preprocess36.0ms (0.2%)

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))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 cosTheta_i)))
(*.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (sin.f32 (*.f32 314159265359/50000000000 u1)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 cosTheta_i)))
(*.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (sin.f32 (*.f32 314159265359/50000000000 u1)))
(*.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (sin.f32 (*.f32 u1 314159265359/50000000000)))
Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify45.0ms (0.2%)

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))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.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
0.5b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Compiler

Compiled 14 to 11 computations (21.4% saved)

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 39 to 27 computations (30.8% saved)

series6.0ms (0%)

Counts
4 → 36
Calls

15 calls:

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

rewrite77.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1088×rational.json-simplify-6
956×rational.json-simplify-4
882×rational.json-simplify-5
864×rational.json-simplify-3
698×rational.json-simplify-12
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01364
17964
225664
3117764
Stop Event
1×node limit
Counts
4 → 232
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 u2)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(/.f32 u1 (-.f32 1 u1))
Outputs
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simplify169.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1828×rational.json-simplify-63
594×rational.json-simplify-2
586×rational.json-simplify-1
512×rational.json-simplify-3
502×rational.json-simplify-12
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05196644
116086596
269126596
Stop Event
1×node limit
Counts
268 → 303
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
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(+.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 u1 (/.f32 (-.f32 1 u1) 2))))
(-.f32 (/.f32 u1 (+.f32 u1 -1)) (-.f32 (/.f32 0 (-.f32 1 u1)) (/.f32 u1 (/.f32 (-.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 u1 (/.f32 (-.f32 1 u1) 2)) -1))
(-.f32 (/.f32 u1 (/.f32 (-.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 u1 (/.f32 (-.f32 1 u1) 2)) (/.f32 u1 (/.f32 (-.f32 1 u1) 2))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 u1 (/.f32 (-.f32 1 u1) 2))))
(-.f32 (+.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 u1 (/.f32 (-.f32 1 u1) 2))) (/.f32 u1 (/.f32 (-.f32 1 u1) 2)))
(-.f32 (+.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 u1 (/.f32 (-.f32 1 u1) 2))) (-.f32 (+.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) 2)) (/.f32 u1 (/.f32 (-.f32 1 u1) 2))) (/.f32 u1 (/.f32 (-.f32 1 u1) 2))))
(-.f32 (-.f32 (+.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) 2)) (/.f32 u1 (/.f32 (-.f32 1 u1) 2))) (-.f32 u1 u1)) (+.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 u1 (/.f32 (-.f32 1 u1) 2))))
(-.f32 (-.f32 (/.f32 0 (-.f32 1 u1)) (-.f32 u1 u1)) (/.f32 u1 (+.f32 u1 -1)))
(-.f32 (-.f32 (+.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) 2)) (/.f32 u1 (/.f32 (-.f32 1 u1) 2))) (/.f32 (-.f32 u1 u1) (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 u1 (/.f32 (-.f32 1 u1) 2))))
(-.f32 (+.f32 (/.f32 0 (-.f32 1 u1)) (+.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) 2)) (/.f32 u1 (/.f32 (-.f32 1 u1) 2)))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 u1 (/.f32 (-.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 1/2 (-.f32 1 u1)))))
(*.f32 (+.f32 u1 u1) (/.f32 1/2 (-.f32 1 u1)))
(*.f32 1/2 (/.f32 u1 (/.f32 (-.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 u1 (/.f32 (-.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 1/2 (-.f32 1 u1))))
(*.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 1 (*.f32 1/2 (/.f32 1/2 (-.f32 1 u1)))))
(*.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 (/.f32 1/2 (-.f32 1 u1)) (*.f32 1/2 (/.f32 1/2 (-.f32 1 u1)))))
(*.f32 (+.f32 (/.f32 u1 (+.f32 u1 -1)) (/.f32 u1 (+.f32 u1 -1))) -1/2)
(neg.f32 (/.f32 u1 (+.f32 u1 -1)))
Outputs
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))) (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) -1/2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.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 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) -1/2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))))
(+.f32 (*.f32 -1/2 (+.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))) (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1))))
(+.f32 (*.f32 3/8 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(+.f32 (*.f32 5/16 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 3/8 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3))) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5)))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 7))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 u2)
(+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
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(*.f32 -1/2 (*.f32 (/.f32 1 (-.f32 1 u1)) (*.f32 u1 -2)))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) 2)) 1/2)
(/.f32 u1 (-.f32 1 u1))
(*.f32 (*.f32 u1 -2) (/.f32 1/2 (+.f32 u1 -1)))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (*.f32 u1 -2) (*.f32 (/.f32 1 (-.f32 1 u1)) -1/2))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (/.f32 1/2 (+.f32 u1 -1)) (*.f32 u1 -2))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (*.f32 1/2 (/.f32 1/2 (-.f32 1 u1))))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (*.f32 (/.f32 1/2 (-.f32 1 u1)) 1/2))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (*.f32 1 (*.f32 1/2 (/.f32 1/2 (-.f32 1 u1)))))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 (/.f32 1/2 (-.f32 1 u1)) (*.f32 1/2 (/.f32 1/2 (-.f32 1 u1)))))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (+.f32 (/.f32 u1 (+.f32 u1 -1)) (/.f32 u1 (+.f32 u1 -1))) -1/2)
(/.f32 u1 (-.f32 1 u1))
(neg.f32 (/.f32 u1 (+.f32 u1 -1)))
(/.f32 u1 (-.f32 1 u1))

eval229.0ms (1.2%)

Compiler

Compiled 6955 to 5329 computations (23.4% saved)

prune96.0ms (0.5%)

Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New28023303
Fresh000
Picked011
Done000
Total28024304
Error
0.1b
Counts
304 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
0.6b
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))
0.5b
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
0.6b
(/.f32 1 (/.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
0.6b
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))
▶0.6b
(/.f32 1/2 (/.f32 (/.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
1.2b
(-.f32 (/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 (+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sin.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))) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
0.7b
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
0.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
0.8b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
5.9b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
0.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (/.f32 u2 50000000000/314159265359)))
▶0.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
0.7b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (/.f32 1 (/.f32 50000000000/314159265359 u2))))
0.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (/.f32 1/2 (/.f32 (/.f32 1/2 u2) 314159265359/50000000000))))
▶1.0b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 (+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 314159265359/25000000000)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 u2 314159265359/25000000000)))))
0.9b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 u2 314159265359/25000000000)) (*.f32 u2 314159265359/25000000000))))
▶0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (-.f32 u2 (*.f32 314159265359/50000000000 u2)))))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.8b
(*.f32 (sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.6b
(*.f32 (sqrt.f32 (-.f32 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (+.f32 2 (/.f32 u1 -1/2))) (/.f32 u1 (/.f32 (-.f32 1 u1) 1/2)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.6b
(*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (+.f32 -1 u1)) (/.f32 2 (/.f32 (-.f32 1 u1) u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
7.8b
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
▶5.9b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
Compiler

Compiled 1010 to 795 computations (21.3% saved)

localize69.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiled 59 to 38 computations (35.6% saved)

series5.0ms (0%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
3.0ms
u2
@inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (-.f32 u2 (*.f32 314159265359/50000000000 u2)))))
0.0ms
u2
@inf
(-.f32 u2 (*.f32 314159265359/50000000000 u2))
0.0ms
u2
@-inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (-.f32 u2 (*.f32 314159265359/50000000000 u2)))))
0.0ms
u1
@0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (-.f32 u2 (*.f32 314159265359/50000000000 u2)))))
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (-.f32 u2 (*.f32 314159265359/50000000000 u2)))))

rewrite88.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
908×rational.json-simplify-21
808×rational.json-simplify-23
752×rational.json-1
752×rational.json-2
752×rational.json-4
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01581
19681
234063
3169051
Stop Event
1×node limit
Counts
3 → 172
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (-.f32 u2 (*.f32 314159265359/50000000000 u2)))))
(-.f32 u2 (*.f32 314159265359/50000000000 u2))
(sin.f32 (-.f32 u2 (-.f32 u2 (*.f32 314159265359/50000000000 u2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.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))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 0 (-.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 0 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 1 (*.f32 0 (-.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 1 (*.f32 0 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 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(#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (-.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) 1/2) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.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))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 0 (-.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 0 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))) (/.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))) (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (/.f32 -1 (sin.f32 (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))) (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sqrt.f32 (/.f32 u1 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simplify114.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1382×rational.json-simplify-63
1162×rational.json-simplify-1
778×rational.json-simplify-24
528×rational.json-simplify-50
492×rational.json-simplify-67
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04075650
113875336
263555316
Stop Event
1×node limit
Counts
216 → 248
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.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 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (neg.f32 (*.f32 -314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (neg.f32 (*.f32 -314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (neg.f32 (*.f32 -314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (neg.f32 (*.f32 -314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (neg.f32 (*.f32 -314159265359/50000000000 u2)))
(sin.f32 (neg.f32 (*.f32 -314159265359/50000000000 u2)))
(sin.f32 (neg.f32 (*.f32 -314159265359/50000000000 u2)))
(sin.f32 (neg.f32 (*.f32 -314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) 0)
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 0))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 0)))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 0 (-.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 0 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 1 (*.f32 0 (-.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 1 (*.f32 0 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))))
(+.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))
(+.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 0)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))
(+.f32 (*.f32 0 (-.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))
(+.f32 (*.f32 0 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) 1/2) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) 0)
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 0))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 0)))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 0 (-.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 0 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(-.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
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(neg.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
Outputs
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (+.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (+.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)) (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.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 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (*.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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (/.f32 -1/2 (/.f32 (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (*.f32 -1/2 (+.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)) (*.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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))) (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))))
(+.f32 (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))) (*.f32 3/8 (*.f32 (sqrt.f32 -1) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 2)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (+.f32 (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))) (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))) (*.f32 5/16 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))
(+.f32 (*.f32 3/8 (*.f32 (sqrt.f32 -1) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) (/.f32 5/16 (/.f32 (/.f32 (pow.f32 u1 3) (sqrt.f32 -1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3))) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5)))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5))) (+.f32 (*.f32 (pow.f32 u2 7) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (neg.f32 (*.f32 -314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (neg.f32 (*.f32 -314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (neg.f32 (*.f32 -314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (neg.f32 (*.f32 -314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 -264159265359/50000000000 u2)
(*.f32 u2 -264159265359/50000000000)
(*.f32 -264159265359/50000000000 u2)
(*.f32 u2 -264159265359/50000000000)
(*.f32 -264159265359/50000000000 u2)
(*.f32 u2 -264159265359/50000000000)
(*.f32 -264159265359/50000000000 u2)
(*.f32 u2 -264159265359/50000000000)
(*.f32 -264159265359/50000000000 u2)
(*.f32 u2 -264159265359/50000000000)
(*.f32 -264159265359/50000000000 u2)
(*.f32 u2 -264159265359/50000000000)
(*.f32 -264159265359/50000000000 u2)
(*.f32 u2 -264159265359/50000000000)
(*.f32 -264159265359/50000000000 u2)
(*.f32 u2 -264159265359/50000000000)
(*.f32 -264159265359/50000000000 u2)
(*.f32 u2 -264159265359/50000000000)
(*.f32 -264159265359/50000000000 u2)
(*.f32 u2 -264159265359/50000000000)
(*.f32 -264159265359/50000000000 u2)
(*.f32 u2 -264159265359/50000000000)
(*.f32 -264159265359/50000000000 u2)
(*.f32 u2 -264159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(+.f32 (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))
(+.f32 (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 314159265359/50000000000 u2))) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (neg.f32 (*.f32 -314159265359/50000000000 u2)))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (neg.f32 (*.f32 -314159265359/50000000000 u2)))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (neg.f32 (*.f32 -314159265359/50000000000 u2)))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (neg.f32 (*.f32 -314159265359/50000000000 u2)))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) 0)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 0))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 0)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
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(*.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) -1)
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) -1))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 -1/2 (-.f32 0 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 -1/2 (-.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 3)))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) 1/2)
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) -1) -1/2)
(sin.f32 (*.f32 314159265359/50000000000 u2))
(/.f32 1 (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1)
(sin.f32 (*.f32 314159265359/50000000000 u2))
(/.f32 1/2 (/.f32 1/2 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(/.f32 -1 (/.f32 -1 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(/.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) -1)
(sin.f32 (*.f32 314159265359/50000000000 u2))
(/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 3) (*.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) 2)) -1)
(sin.f32 (*.f32 314159265359/50000000000 u2))
(/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 0) (sin.f32 (*.f32 u2 314159265359/50000000000))) -1)
(sin.f32 (*.f32 314159265359/50000000000 u2))
(/.f32 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) -1) 1/2) -1)
(sin.f32 (*.f32 314159265359/50000000000 u2))
(neg.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(sin.f32 (*.f32 314159265359/50000000000 u2))

localize37.0ms (0.2%)

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

Compiled 39 to 26 computations (33.3% saved)

series8.0ms (0%)

Counts
3 → 24
Calls

15 calls:

TimeVariablePointExpression
3.0ms
u1
@0
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
1.0ms
u2
@0
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
1.0ms
u1
@inf
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
0.0ms
u1
@-inf
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
0.0ms
u2
@inf
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))

rewrite86.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1164×rational.json-simplify-6
1004×rational.json-simplify-4
888×rational.json-simplify-3
876×rational.json-simplify-5
718×rational.json-simplify-21
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01269
17669
225669
3122169
Stop Event
1×node limit
Counts
3 → 288
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
Outputs
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simplify109.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1130×rational.json-simplify-2
1056×rational.json-simplify-3
862×rational.json-simplify-12
730×rational.json-simplify-24
688×rational.json-simplify-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05979634
119929362
Stop Event
1×node limit
Counts
312 → 363
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/100000000000 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 -314159265359/100000000000 (/.f32 (*.f32 u2 (+.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 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/100000000000 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2))
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(+.f32 (*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2) (*.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 0)
(-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 u2 0))
(-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))
(-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (*.f32 u2 0)))
(-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)))
(-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 (*.f32 u2 0) (*.f32 u2 0)))
(-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 u2 0)))
(-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 (*.f32 u2 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)))
(-.f32 (*.f32 u2 (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 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (-.f32 u2 u2) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1 u2)))
(-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 0 (*.f32 -1 (/.f32 1 u2))))
(-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 0 (/.f32 -1 u2)))
(-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 0 (*.f32 -1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 0 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)) (-.f32 0 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)) (-.f32 (*.f32 u2 0) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)) (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)) (/.f32 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) -1))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)) (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 -1 (/.f32 1 u2))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)) (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (/.f32 -1 u2)))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)) (/.f32 (+.f32 u2 u2) (*.f32 -1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)) (/.f32 (+.f32 u2 u2) (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (*.f32 u2 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)))
(-.f32 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (neg.f32 (*.f32 u2 0)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)))
(-.f32 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)))
(-.f32 (-.f32 (*.f32 u2 0) (*.f32 u2 0)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)))
(-.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 u2 0)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)))
(-.f32 (-.f32 (*.f32 u2 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)))
(-.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)))
(-.f32 (-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)))
(-.f32 (+.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(-.f32 (+.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))) (-.f32 (+.f32 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))
(-.f32 (+.f32 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))) (+.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))
(-.f32 (+.f32 (*.f32 u2 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)))
(-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 u2 0)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)))
(-.f32 (-.f32 (+.f32 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))) (-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (+.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))
(-.f32 (+.f32 (*.f32 u2 0) (+.f32 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))) (+.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))
(-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (+.f32 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))) (+.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))
(-.f32 (/.f32 (*.f32 u2 0) -1) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)))
(-.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) -1) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)))
(-.f32 (/.f32 (+.f32 u2 (+.f32 u2 (+.f32 u2 u2))) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 (+.f32 u2 (+.f32 u2 u2)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (/.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (/.f32 1 u2)) (/.f32 (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (/.f32 1 u2)))
(-.f32 (/.f32 0 (*.f32 -1 (/.f32 1 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)))
(-.f32 (/.f32 0 (/.f32 -1 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 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 u2)))
(-.f32 (/.f32 0 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)))
(/.f32 u2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 u2 (*.f32 -1 (*.f32 -1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(/.f32 u2 (neg.f32 (*.f32 -1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(/.f32 u2 (neg.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 1 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 u2))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -1 (*.f32 -1 (/.f32 1 u2))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (*.f32 -1 (/.f32 1 u2))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (/.f32 -1 u2)))
(/.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(/.f32 1/2 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)) -1)
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 -1 (/.f32 1 u2)))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -1 u2))
(/.f32 (neg.f32 u2) (*.f32 -1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 (neg.f32 u2) (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (*.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1/2 u2))
(/.f32 (*.f32 1/2 u2) (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)))
(+.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))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 1 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 1/2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.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))) 2) (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (+.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))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (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)))))
(+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (-.f32 0 (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 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))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 0 (neg.f32 (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 (*.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))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (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 (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))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 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))) 2)) (-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(-.f32 (-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(*.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 (*.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 1/2 (/.f32 1/2 (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
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (*.f32 -314159265359/100000000000 (/.f32 (/.f32 u2 (sqrt.f32 -1)) u1)))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (/.f32 (/.f32 (*.f32 u2 -314159265359/100000000000) u1) (sqrt.f32 -1)))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/100000000000 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
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(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 1/2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(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))) 2) (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (+.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))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(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 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (-.f32 0 (+.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 (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))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(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)))) (-.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 (*.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))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (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))) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (+.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))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.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))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.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 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 (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 (*.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 1/2 (/.f32 1/2 (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)))

localize71.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f32 u1 (-.f32 1 u1))
✓0.2b
(sin.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2)))
✓0.3b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
✓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))) (sin.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
0.0ms
u2
@0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
0.0ms
u1
@-inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
0.0ms
u2
@inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))

rewrite167.0ms (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))) (sin.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
(sin.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.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))) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.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))) (sin.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 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simplify264.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1112×rational.json-simplify-2
1094×rational.json-simplify-3
916×rational.json-simplify-1
814×rational.json-simplify-63
810×rational.json-simplify-12
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
087014270
1268514234
Stop Event
1×node limit
Counts
478 → 479
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) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.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 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
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(-.f32 (+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 (+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(-.f32 (+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(-.f32 (-.f32 (+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(*.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1)
(*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))
(*.f32 -1 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) 1/2)
(*.f32 (-.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sin.f32 (*.f32 314159265359/50000000000 u2))) -1/2)
(/.f32 1 (/.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1)
(/.f32 1/2 (/.f32 1 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(/.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) -1)
(neg.f32 (neg.f32 (sin.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) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.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 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))))
(+.f32 (*.f32 -1/2 (+.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)) (*.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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))) (+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))) (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 1/2 (/.f32 (/.f32 u1 (sqrt.f32 -1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))) (*.f32 3/8 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (/.f32 1/2 (/.f32 (/.f32 u1 (sqrt.f32 -1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 3/8 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 5/16 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (/.f32 1/2 (/.f32 (/.f32 u1 (sqrt.f32 -1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3))))
(+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3))) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5)))))
(+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 7))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3))))))
(+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 u2)
(+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 314159265359/50000000000 u2) 0)
(*.f32 314159265359/50000000000 u2)
(+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -314159265359/50000000000 u2)))
(*.f32 314159265359/50000000000 u2)
(+.f32 0 (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 u2)
(+.f32 (*.f32 -314159265359/50000000000 u2) (*.f32 u2 314159265359/25000000000))
(*.f32 314159265359/50000000000 u2)
(+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 -314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 u2)
(+.f32 (*.f32 u2 314159265359/25000000000) (-.f32 (*.f32 u2 314159265359/25000000000) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 u2 314159265359/25000000000))))
(*.f32 314159265359/50000000000 u2)
(+.f32 (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -314159265359/50000000000 u2)) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 u2)
(+.f32 (+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 314159265359/25000000000)) (-.f32 0 (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 u2 314159265359/25000000000))))
(*.f32 314159265359/50000000000 u2)
(-.f32 (*.f32 314159265359/50000000000 u2) 0)
(*.f32 314159265359/50000000000 u2)
(-.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -314159265359/50000000000 u2)))
(*.f32 314159265359/50000000000 u2)
(-.f32 (*.f32 314159265359/50000000000 u2) (/.f32 (-.f32 u2 u2) 50000000000/314159265359))
(*.f32 314159265359/50000000000 u2)
(-.f32 0 (*.f32 -314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 u2)
(-.f32 (*.f32 -314159265359/50000000000 u2) (-.f32 0 (*.f32 u2 314159265359/25000000000)))
(*.f32 314159265359/50000000000 u2)
(-.f32 (*.f32 -314159265359/50000000000 u2) (/.f32 (+.f32 u2 u2) -50000000000/314159265359))
(-.f32 (*.f32 u2 -314159265359/50000000000) (/.f32 (+.f32 u2 u2) -50000000000/314159265359))
(-.f32 (*.f32 -314159265359/50000000000 u2) (/.f32 (*.f32 u2 314159265359/25000000000) -1))
(*.f32 314159265359/50000000000 u2)
(-.f32 (*.f32 u2 314159265359/25000000000) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 u2)
(-.f32 (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -314159265359/50000000000 u2)) (*.f32 -314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 u2)
(-.f32 (+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 314159265359/25000000000)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 u2 314159265359/25000000000)))
(*.f32 314159265359/50000000000 u2)
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(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (/.f32 1 (sin.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 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 (+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 0 (*.f32 -1 (/.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))) (*.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 0 (neg.f32 (/.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))) (*.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sin.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 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 0) -1) (*.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sin.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 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sin.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 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 1 (/.f32 (/.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sin.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 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 1 (*.f32 (/.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -1 (*.f32 -1 (/.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -1 (neg.f32 (/.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1 (*.f32 -1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1 (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 1/2 (/.f32 (/.f32 1 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sin.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)) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sin.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 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sin.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 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -1 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sin.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 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sin.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 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sin.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 (sin.f32 (*.f32 314159265359/50000000000 u2))) -1))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1)
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1 (*.f32 -1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1 (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(neg.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 0)
(sin.f32 (*.f32 314159265359/50000000000 u2))
(+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (-.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(+.f32 0 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(+.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (-.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(+.f32 (-.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(+.f32 (+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 0 (+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 0)
(sin.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (-.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 0 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (-.f32 0 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) -1))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (-.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 (+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (-.f32 (+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1)
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 -1 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) 1/2)
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 (-.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sin.f32 (*.f32 314159265359/50000000000 u2))) -1/2)
(sin.f32 (*.f32 314159265359/50000000000 u2))
(/.f32 1 (/.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1)
(sin.f32 (*.f32 314159265359/50000000000 u2))
(/.f32 1/2 (/.f32 1 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(/.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) -1)
(sin.f32 (*.f32 314159265359/50000000000 u2))
(neg.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(sin.f32 (*.f32 314159265359/50000000000 u2))

localize65.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 63 to 47 computations (25.4% saved)

series9.0ms (0%)

Counts
3 → 44
Calls

15 calls:

TimeVariablePointExpression
2.0ms
u2
@-inf
(/.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2)))
1.0ms
u2
@inf
(/.f32 (/.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
1.0ms
u2
@0
(/.f32 (/.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
1.0ms
u2
@-inf
(/.f32 (/.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
1.0ms
u1
@0
(/.f32 (/.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

rewrite81.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1416×rational.json-simplify-6
1052×rational.json-simplify-3
980×rational.json-simplify-33
924×rational.json-simplify-24
824×rational.json-simplify-12
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016101
110589
238789
3199789
Stop Event
1×node limit
Counts
3 → 257
Calls
Call 1
Inputs
(/.f32 (/.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
Outputs
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simplify163.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1128×rational.json-simplify-3
948×rational.json-simplify-2
880×rational.json-simplify-12
726×rational.json-simplify-24
650×rational.json-simplify-41
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058512731
1164712187
Stop Event
1×node limit
Counts
301 → 353
Calls
Call 1
Inputs
(*.f32 25000000000/314159265359 (*.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(+.f32 (*.f32 25000000000/314159265359 (*.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) (*.f32 314159265359/600000000000 (*.f32 u2 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
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(-.f32 (+.f32 (/.f32 0 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))) (+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))
(-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))) (+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))
(*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(*.f32 1/2 (*.f32 (*.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) 1/2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1/2 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1 (/.f32 1/2 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (/.f32 1 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (*.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2))
(*.f32 1 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) 1/2)
(*.f32 2 (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 2 (/.f32 1/2 (/.f32 1 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 2 (*.f32 1 (/.f32 1/2 (/.f32 1 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 2 (*.f32 (*.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 -1 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 -1 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 1 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 1/2 (/.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1/2)))
(*.f32 -1/2 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -1/2 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 -1/2 (*.f32 1 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) -1)
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 1/2 (/.f32 1/2 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 1 (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (*.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(*.f32 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 1 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1 (/.f32 1 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))) 1/4)
(*.f32 (-.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sin.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 (neg.f32 (/.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) -1/2))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 1 (/.f32 1/2 (neg.f32 (/.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 1/2 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (-.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) -1/2)
(neg.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
Outputs
(*.f32 25000000000/314159265359 (*.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 25000000000/314159265359 u2))
(+.f32 (*.f32 25000000000/314159265359 (*.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) (*.f32 314159265359/600000000000 (*.f32 u2 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(+.f32 (*.f32 25000000000/314159265359 (*.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) (*.f32 u2 (*.f32 314159265359/600000000000 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 25000000000/314159265359 u2)) (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (*.f32 u2 314159265359/600000000000)))
(+.f32 (*.f32 25000000000/314159265359 (*.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) (+.f32 (*.f32 314159265359/600000000000 (*.f32 u2 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) (*.f32 217043936762141594974494696480642953/90000000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))))
(+.f32 (*.f32 25000000000/314159265359 (*.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) (+.f32 (*.f32 u2 (*.f32 314159265359/600000000000 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) (*.f32 217043936762141594974494696480642953/90000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (pow.f32 u2 3)))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (*.f32 u2 314159265359/600000000000)) (+.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 25000000000/314159265359 u2)) (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (*.f32 217043936762141594974494696480642953/90000000000000000000000000000000000 (pow.f32 u2 3)))))
(+.f32 (*.f32 25000000000/314159265359 (*.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) (+.f32 (*.f32 314159265359/600000000000 (*.f32 u2 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) (+.f32 (*.f32 217043936762141594974494696480642953/90000000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) (*.f32 94866102283468468214242596731956544828795783500316272114769/9450000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))))
(+.f32 (*.f32 u2 (*.f32 314159265359/600000000000 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) (+.f32 (*.f32 25000000000/314159265359 (*.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) (+.f32 (*.f32 217043936762141594974494696480642953/90000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (pow.f32 u2 3))) (*.f32 94866102283468468214242596731956544828795783500316272114769/9450000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (pow.f32 u2 5))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 25000000000/314159265359 u2)) (+.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (*.f32 94866102283468468214242596731956544828795783500316272114769/9450000000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))) (+.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (*.f32 u2 314159265359/600000000000)) (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (*.f32 217043936762141594974494696480642953/90000000000000000000000000000000000 (pow.f32 u2 3))))))
(*.f32 1/2 (*.f32 (/.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 1/2 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(*.f32 1/2 (*.f32 (/.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 1/2 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(*.f32 1/2 (*.f32 (/.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 1/2 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(*.f32 1/2 (*.f32 (/.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 1/2 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(*.f32 1/2 (*.f32 (/.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 1/2 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(*.f32 1/2 (*.f32 (/.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 1/2 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(*.f32 1/2 (*.f32 (/.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 1/2 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(*.f32 1/2 (*.f32 (/.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 1/2 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(*.f32 1/2 (/.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 1/2 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1)))
(+.f32 (*.f32 1/4 (/.f32 1 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (/.f32 1/2 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1))) (/.f32 1/4 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 u1 (sqrt.f32 -1)))))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 1/4 (/.f32 1 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))))) (*.f32 1/16 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 3) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 2))))))
(+.f32 (/.f32 1/2 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1))) (-.f32 (/.f32 1/4 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 u1 (sqrt.f32 -1)))) (/.f32 1/16 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2))))))
(+.f32 (/.f32 1/2 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1))) (-.f32 (/.f32 1/4 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 u1 (sqrt.f32 -1)))) (/.f32 (/.f32 1/16 (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))))
(-.f32 (+.f32 (*.f32 1/32 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 5) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3))))) (+.f32 (*.f32 1/2 (/.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 1/4 (/.f32 1 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)))))) (*.f32 1/16 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 3) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 2))))))
(+.f32 (/.f32 1/32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (+.f32 (/.f32 1/2 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1))) (-.f32 (/.f32 1/4 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 u1 (sqrt.f32 -1)))) (/.f32 1/16 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))))))
(+.f32 (/.f32 1/2 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1))) (+.f32 (/.f32 1/32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (-.f32 (/.f32 1/4 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 u1 (sqrt.f32 -1)))) (/.f32 (/.f32 1/16 (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2))))))
(/.f32 1/2 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 1/2 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1)))
(/.f32 (/.f32 1/2 (sin.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 -1))
(-.f32 (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))))) (*.f32 1/4 (/.f32 1 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)))))
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(*.f32 1/2 (*.f32 (*.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) 1/2)))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1/2 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1 (/.f32 1/2 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (/.f32 1 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (*.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 1 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) 1/2)
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 2 (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 2 (/.f32 1/2 (/.f32 1 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 2 (*.f32 1 (/.f32 1/2 (/.f32 1 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 2 (*.f32 (*.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 -1 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 -1 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 1 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 1/2 (/.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1/2)))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 -1/2 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -1/2 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 -1/2 (*.f32 1 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) -1)
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 1/2 (/.f32 1/2 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 1 (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 1 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1 (/.f32 1 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))) 1/4)
(*.f32 1/4 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))))
(*.f32 1/4 (*.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(*.f32 (-.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1/2))
(*.f32 (-.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1/2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -1/2 (-.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (sin.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 (neg.f32 (/.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1/2 (neg.f32 (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000))))))
(*.f32 -1/2 (*.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 u2 314159265359/50000000000))))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) -1/2))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1/2 (neg.f32 (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000))))))
(*.f32 -1/2 (*.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.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 (/.f32 1/2 (neg.f32 (/.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1/2 (neg.f32 (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000))))))
(*.f32 -1/2 (*.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.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 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1/2 (neg.f32 (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000))))))
(*.f32 -1/2 (*.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 u2 314159265359/50000000000))))
(*.f32 (-.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) -1/2)
(*.f32 -1/2 (-.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 -1/2 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(neg.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

localize84.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 (+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 314159265359/25000000000)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 u2 314159265359/25000000000)))))
0.4b
(*.f32 314159265359/50000000000 u2)
✓0.4b
(*.f32 u2 314159265359/25000000000)
✓0.8b
(-.f32 (+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 314159265359/25000000000)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 u2 314159265359/25000000000)))
Compiler

Compiled 96 to 69 computations (28.1% saved)

series5.0ms (0%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
1.0ms
u1
@0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 (+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 314159265359/25000000000)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 u2 314159265359/25000000000)))))
1.0ms
u1
@inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 (+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 314159265359/25000000000)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 u2 314159265359/25000000000)))))
0.0ms
u1
@-inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 (+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 314159265359/25000000000)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 u2 314159265359/25000000000)))))
0.0ms
u2
@0
(-.f32 (+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 314159265359/25000000000)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 u2 314159265359/25000000000)))
0.0ms
u2
@inf
(-.f32 (+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 314159265359/25000000000)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 u2 314159265359/25000000000)))

rewrite72.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
820×rational.json-simplify-21
704×rational.json-1
704×rational.json-2
704×rational.json-4
704×rational.json-3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01895
111471
237047
3179647
Stop Event
1×node limit
Counts
3 → 216
Calls
Call 1
Inputs
(-.f32 (+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 314159265359/25000000000)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 u2 314159265359/25000000000)))
(*.f32 u2 314159265359/25000000000)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 (+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 314159265359/25000000000)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 u2 314159265359/25000000000)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 -314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 314159265359/12500000000) (*.f32 u2 -942477796077/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 314159265359/12500000000) (*.f32 1/2 (*.f32 u2 -942477796077/25000000000)))))) (#(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 u2 u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 942477796077/50000000000) (*.f32 u2 -314159265359/25000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 314159265359/6250000000) (*.f32 2199114857513/50000000000 (neg.f32 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 314159265359/6250000000) (*.f32 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simplify145.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1666×rational.json-simplify-63
1354×rational.json-simplify-1
644×rational.json-simplify-67
604×rational.json-simplify-50
568×rational.json-simplify-24
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04856172
116485414
269055414
Stop Event
1×node limit
Counts
260 → 279
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 314159265359/25000000000 u2)
(*.f32 314159265359/25000000000 u2)
(*.f32 314159265359/25000000000 u2)
(*.f32 314159265359/25000000000 u2)
(*.f32 314159265359/25000000000 u2)
(*.f32 314159265359/25000000000 u2)
(*.f32 314159265359/25000000000 u2)
(*.f32 314159265359/25000000000 u2)
(*.f32 314159265359/25000000000 u2)
(*.f32 314159265359/25000000000 u2)
(*.f32 314159265359/25000000000 u2)
(*.f32 314159265359/25000000000 u2)
(*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 (*.f32 314159265359/12500000000 u2) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 314159265359/25000000000 u2)))))
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(/.f32 -314159265359/25000000000 (/.f32 1 (neg.f32 u2)))
(/.f32 (-.f32 (*.f32 u2 3) (*.f32 (+.f32 u2 u2) 2)) -25000000000/314159265359)
(/.f32 (-.f32 (-.f32 u2 u2) (*.f32 u2 314159265359/25000000000)) -1)
(/.f32 (-.f32 (*.f32 u2 942477796077/50000000000) (*.f32 u2 314159265359/10000000000)) -1)
(/.f32 (-.f32 (*.f32 u2 2199114857513/50000000000) (+.f32 (*.f32 u2 314159265359/50000000000) (*.f32 u2 314159265359/6250000000))) -1)
(/.f32 (-.f32 (+.f32 (*.f32 u2 314159265359/6250000000) (*.f32 u2 2199114857513/50000000000)) (+.f32 (*.f32 u2 314159265359/50000000000) (*.f32 (*.f32 u2 314159265359/6250000000) 2))) -1)
(/.f32 (-.f32 (neg.f32 (*.f32 u2 314159265359/6250000000)) (+.f32 (*.f32 u2 -314159265359/12500000000) (*.f32 u2 -314159265359/25000000000))) -1)
(/.f32 (-.f32 (+.f32 (*.f32 u2 -314159265359/12500000000) (*.f32 u2 -314159265359/25000000000)) (*.f32 u2 -314159265359/12500000000)) -1)
(/.f32 (-.f32 (+.f32 (*.f32 u2 -314159265359/50000000000) (*.f32 u2 -314159265359/12500000000)) (*.f32 u2 -942477796077/50000000000)) -1)
(/.f32 (-.f32 (+.f32 (*.f32 u2 -942477796077/50000000000) (*.f32 u2 -314159265359/25000000000)) (*.f32 u2 -942477796077/50000000000)) -1)
(/.f32 (-.f32 (+.f32 (*.f32 u2 -942477796077/50000000000) (*.f32 u2 -942477796077/50000000000)) (*.f32 u2 -314159265359/12500000000)) -1)
(/.f32 (-.f32 (*.f32 u2 314159265359/12500000000) (*.f32 u2 942477796077/25000000000)) -1)
(/.f32 (-.f32 (-.f32 u2 u2) u2) -25000000000/314159265359)
(/.f32 (*.f32 (*.f32 u2 -314159265359/12500000000) 1/2) -1)
(neg.f32 (*.f32 u2 -314159265359/25000000000))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) 0)
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 0))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 0 (-.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 0 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 1 (*.f32 0 (-.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 1 (*.f32 0 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))))
(+.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))
(+.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(+.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))
(+.f32 (*.f32 0 (-.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))
(+.f32 (*.f32 0 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) 1/2) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) 0)
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 0))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 0 (-.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 0 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(-.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))) (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) -1))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))) (/.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))) (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (/.f32 -1 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 (neg.f32 (sin.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 (sin.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sin.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 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(-.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))
(-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) 2) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))
(-.f32 (*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))
(-.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))
(-.f32 (*.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) 1/2) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) -1) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(-.f32 (*.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 0) -1) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(/.f32 1 (/.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (/.f32 -1 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (neg.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) 1)
(/.f32 1/2 (/.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(/.f32 1/2 (/.f32 (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (sin.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 u2 314159265359/50000000000))))
(/.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))))
(/.f32 1/2 (/.f32 -1 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))))
(/.f32 -1 (/.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))) -1)
(/.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -1 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(/.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (/.f32 (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000))) 1/2))
(/.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1/2) (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) (/.f32 1/2 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 3) (*.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) 2)) (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2)) (/.f32 -1 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))) -1)
(/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) 2)) -1)
(/.f32 (-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))) -1)
(/.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -1 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 0) (sin.f32 (*.f32 u2 314159265359/50000000000))) (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (*.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))) 1/2) -1)
(neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.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 314159265359/25000000000 u2)
(*.f32 u2 314159265359/25000000000)
(*.f32 314159265359/25000000000 u2)
(*.f32 u2 314159265359/25000000000)
(*.f32 314159265359/25000000000 u2)
(*.f32 u2 314159265359/25000000000)
(*.f32 314159265359/25000000000 u2)
(*.f32 u2 314159265359/25000000000)
(*.f32 314159265359/25000000000 u2)
(*.f32 u2 314159265359/25000000000)
(*.f32 314159265359/25000000000 u2)
(*.f32 u2 314159265359/25000000000)
(*.f32 314159265359/25000000000 u2)
(*.f32 u2 314159265359/25000000000)
(*.f32 314159265359/25000000000 u2)
(*.f32 u2 314159265359/25000000000)
(*.f32 314159265359/25000000000 u2)
(*.f32 u2 314159265359/25000000000)
(*.f32 314159265359/25000000000 u2)
(*.f32 u2 314159265359/25000000000)
(*.f32 314159265359/25000000000 u2)
(*.f32 u2 314159265359/25000000000)
(*.f32 314159265359/25000000000 u2)
(*.f32 u2 314159265359/25000000000)
(*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 (*.f32 314159265359/12500000000 u2) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 314159265359/25000000000 u2)))))
(*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 (*.f32 u2 314159265359/12500000000) (+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (-.f32 (*.f32 314159265359/12500000000 u2) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 314159265359/25000000000 u2)))) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 (*.f32 314159265359/12500000000 u2) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 314159265359/25000000000 u2))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 (*.f32 u2 314159265359/12500000000) (+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 314159265359/50000000000 u2))))) (*.f32 -1/2 (/.f32 (sin.f32 (-.f32 (*.f32 u2 314159265359/12500000000) (+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 314159265359/50000000000 u2)))) (*.f32 (sqrt.f32 -1) u1))))
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(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 1/2 (/.f32 -1 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 -1 (/.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))) -1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -1 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (/.f32 (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000))) 1/2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1/2) (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) (/.f32 1/2 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 3) (*.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) 2)) (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 4) (*.f32 3 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2)) (/.f32 -1 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(-.f32 (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 4) (*.f32 3 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))) -1)
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 0 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 0 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) 2)) -1)
(-.f32 (*.f32 2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 4) (*.f32 3 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))) -1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -1 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 0 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 0 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 0) (sin.f32 (*.f32 u2 314159265359/50000000000))) (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 0 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 0 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (*.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))) 1/2) -1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))

eval1.2s (6%)

Compiler

Compiled 54402 to 41876 computations (23% saved)

prune1.2s (6.2%)

Pruning

45 alts after pruning (42 fresh and 3 done)

PrunedKeptTotal
New2146362182
Fresh12618
Picked101
Done235
Total2161452206
Error
0.1b
Counts
2206 → 45
Alt Table
Click to see full alt table
StatusErrorProgram
5.9b
(/.f32 (*.f32 314159265359/50000000000 u2) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
▶5.9b
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
5.9b
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (*.f32 314159265359/50000000000 u2)))
0.6b
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000))))
0.5b
(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
6.0b
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
6.0b
(/.f32 314159265359/50000000000 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
5.9b
(/.f32 314159265359/100000000000 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
6.0b
(/.f32 1/2 (/.f32 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 314159265359/50000000000))
5.9b
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 314159265359/50000000000 u2)))
1.0b
(/.f32 1/2 (/.f32 (/.f32 1/2 (sin.f32 (-.f32 (+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 314159265359/25000000000)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 u2 314159265359/25000000000))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
5.9b
(/.f32 1/2 (/.f32 (/.f32 25000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
3.8b
(/.f32 1/2 (/.f32 (+.f32 (*.f32 u2 314159265359/600000000000) (/.f32 25000000000/314159265359 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
3.9b
(/.f32 1/2 (/.f32 (+.f32 (*.f32 314159265359/600000000000 u2) (*.f32 25000000000/314159265359 (/.f32 1 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
0.7b
(/.f32 1/2 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 1/2 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
6.0b
(/.f32 1/2 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 25000000000/314159265359 u2)))
6.1b
(/.f32 1/2 (*.f32 25000000000/314159265359 (*.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
6.4b
(-.f32 (/.f32 (+.f32 u2 (+.f32 u2 (+.f32 u2 u2))) (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 (+.f32 u2 (+.f32 u2 u2)) (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
1.3b
(-.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))
▶0.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
0.9b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 4) (*.f32 3 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
5.9b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
0.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (/.f32 u2 50000000000/314159265359)))
✓0.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
0.7b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (/.f32 1 (/.f32 50000000000/314159265359 u2))))
0.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (/.f32 1 (/.f32 (/.f32 1 u2) -264159265359/50000000000)))))
▶0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))))
1.0b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (+.f32 (*.f32 u2 942477796077/50000000000) (*.f32 u2 -314159265359/25000000000))))
1.8b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (+.f32 (*.f32 u2 -314159265359/12500000000) (*.f32 u2 314159265359/10000000000))))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.9b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 -1/2 (-.f32 (*.f32 u2 942477796077/50000000000) (*.f32 u2 314159265359/10000000000)))))
0.8b
(*.f32 (sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.6b
(*.f32 (sqrt.f32 (-.f32 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (+.f32 2 (/.f32 u1 -1/2))) (/.f32 u1 (/.f32 (-.f32 1 u1) 1/2)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
7.8b
(*.f32 (sqrt.f32 u1) (sin.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
7.8b
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
5.9b
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
6.1b
(*.f32 314159265359/50000000000 (/.f32 (-.f32 (+.f32 u2 (+.f32 u2 (+.f32 u2 u2))) (+.f32 u2 (+.f32 u2 u2))) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
5.9b
(*.f32 314159265359/50000000000 (/.f32 u2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
6.0b
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
6.0b
(*.f32 314159265359/50000000000 (/.f32 1/2 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
✓5.9b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
▶6.1b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1))))))
8.7b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1))))
▶11.3b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
0.9b
(*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (-.f32 (*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
Compiler

Compiled 1595 to 1228 computations (23% saved)

localize51.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(-.f32 u2 (*.f32 u2 -264159265359/50000000000))
✓0.2b
(sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000)))
✓0.3b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))))
✓0.4b
(*.f32 u2 -264159265359/50000000000)
Compiler

Compiled 48 to 32 computations (33.3% saved)

series8.0ms (0%)

Counts
4 → 56
Calls

15 calls:

TimeVariablePointExpression
3.0ms
u1
@-inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))))
1.0ms
u1
@inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))))
1.0ms
u1
@0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))))
0.0ms
u2
@inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))))
0.0ms
u2
@0
(*.f32 u2 -264159265359/50000000000)

rewrite78.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1224×rational.json-simplify-3
1072×rational.json-simplify-12
752×rational.json-simplify-2
752×rational.json-simplify-21
612×rational.json-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01476
18776
229058
3138158
Stop Event
1×node limit
Counts
4 → 252
Calls
Call 1
Inputs
(*.f32 u2 -264159265359/50000000000)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))))
(sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000)))
(-.f32 u2 (*.f32 u2 -264159265359/50000000000))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 -264159265359/50000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 -264159265359/50000000000) (-.f32 u2 u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 -264159265359/50000000000) (+.f32 0 (-.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 -264159265359/50000000000) (-.f32 0 (-.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u2 -264159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 264159265359/50000000000) (*.f32 u2 -264159265359/25000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 -264159265359/25000000000) (*.f32 u2 264159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 u2 u2) (*.f32 u2 -264159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 u2 -264159265359/25000000000) (*.f32 u2 -264159265359/25000000000)) (-.f32 0 (+.f32 (*.f32 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simplify105.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
696×rational.json-simplify-1
636×rational.json-simplify-2
632×rational.json-simplify-63
628×rational.json-simplify-3
592×rational.json-simplify-12
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05787080
119766706
Stop Event
1×node limit
Counts
308 → 326
Calls
Call 1
Inputs
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))))
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(*.f32 -1 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(*.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) -1)
(*.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) 1/2)
(*.f32 (-.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (sin.f32 (*.f32 u2 314159265359/50000000000))) -1/2)
(/.f32 1 (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1)
(/.f32 1/2 (/.f32 1/2 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(/.f32 -1 (/.f32 -1 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(/.f32 -1 (/.f32 1 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) -1)
(/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 0) (sin.f32 (*.f32 u2 314159265359/50000000000))) -1)
(/.f32 (-.f32 (+.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) (+.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))) -1)
(/.f32 (-.f32 (-.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))) -1)
(neg.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(+.f32 u2 (*.f32 u2 264159265359/50000000000))
(+.f32 u2 (+.f32 (*.f32 u2 264159265359/50000000000) (-.f32 u2 u2)))
(+.f32 u2 (+.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (*.f32 u2 -364159265359/50000000000)))
(+.f32 u2 (-.f32 (*.f32 u2 264159265359/50000000000) (-.f32 u2 u2)))
(+.f32 u2 (-.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (*.f32 (+.f32 u2 u2) 364159265359/100000000000)))
(+.f32 u2 (*.f32 1/2 (-.f32 (*.f32 u2 314159265359/50000000000) (*.f32 u2 -214159265359/50000000000))))
(+.f32 (*.f32 u2 -264159265359/50000000000) (+.f32 (*.f32 u2 314159265359/50000000000) (*.f32 u2 264159265359/50000000000)))
(+.f32 (*.f32 u2 -264159265359/50000000000) (+.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (neg.f32 u2)))
(+.f32 (*.f32 u2 -264159265359/50000000000) (-.f32 u2 (*.f32 u2 -264159265359/25000000000)))
(+.f32 (*.f32 u2 -264159265359/50000000000) (-.f32 0 (-.f32 (*.f32 u2 -264159265359/25000000000) u2)))
(+.f32 (*.f32 u2 -264159265359/50000000000) (-.f32 0 (-.f32 u2 (*.f32 (*.f32 u2 314159265359/50000000000) 2))))
(+.f32 (*.f32 u2 314159265359/50000000000) 0)
(+.f32 (*.f32 u2 314159265359/50000000000) (*.f32 (*.f32 u2 314159265359/50000000000) 0))
(+.f32 (*.f32 u2 314159265359/50000000000) (-.f32 u2 u2))
(+.f32 (*.f32 u2 314159265359/50000000000) (+.f32 0 (*.f32 (*.f32 u2 314159265359/50000000000) 0)))
(+.f32 (*.f32 u2 314159265359/50000000000) (-.f32 0 (*.f32 (*.f32 u2 314159265359/50000000000) 0)))
(+.f32 0 (*.f32 u2 314159265359/50000000000))
(+.f32 (+.f32 u2 u2) (neg.f32 (*.f32 u2 -214159265359/50000000000)))
(+.f32 (+.f32 u2 u2) (*.f32 1 (neg.f32 (*.f32 u2 -214159265359/50000000000))))
(+.f32 (+.f32 u2 u2) (*.f32 1/2 (-.f32 (*.f32 u2 314159265359/50000000000) (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000)))))
(+.f32 (*.f32 u2 -214159265359/50000000000) (+.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (-.f32 (neg.f32 u2) u2)))
(+.f32 (*.f32 u2 -214159265359/50000000000) (-.f32 0 (-.f32 (+.f32 u2 u2) (*.f32 (*.f32 u2 314159265359/50000000000) 2))))
(+.f32 (*.f32 u2 -214159265359/50000000000) (-.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (+.f32 u2 u2)))
(+.f32 (*.f32 u2 264159265359/50000000000) u2)
(+.f32 (*.f32 u2 -314159265359/50000000000) (*.f32 (*.f32 u2 314159265359/50000000000) 2))
(+.f32 (*.f32 u2 -314159265359/50000000000) (-.f32 0 (neg.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2))))
(+.f32 (neg.f32 u2) (*.f32 -1 (*.f32 u2 -364159265359/50000000000)))
(+.f32 (neg.f32 u2) (/.f32 (*.f32 u2 -364159265359/50000000000) -1))
(+.f32 (*.f32 u2 -264159265359/25000000000) (-.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (*.f32 u2 -214159265359/50000000000)))
(+.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (*.f32 u2 -314159265359/50000000000))
(+.f32 (+.f32 (+.f32 u2 u2) (+.f32 u2 u2)) (neg.f32 (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000))))
(+.f32 (+.f32 (+.f32 u2 u2) (+.f32 u2 u2)) (+.f32 0 (neg.f32 (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000)))))
(+.f32 (+.f32 (+.f32 u2 u2) (+.f32 u2 u2)) (-.f32 (*.f32 u2 264159265359/50000000000) (+.f32 u2 (+.f32 u2 u2))))
(+.f32 (+.f32 (+.f32 u2 u2) (+.f32 u2 u2)) (*.f32 1 (neg.f32 (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000)))))
(+.f32 (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000)) (-.f32 0 (-.f32 (+.f32 u2 u2) (-.f32 (*.f32 u2 314159265359/50000000000) (*.f32 u2 -214159265359/50000000000)))))
(+.f32 (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000)) (-.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (+.f32 (+.f32 u2 u2) (+.f32 u2 u2))))
(+.f32 (neg.f32 (*.f32 u2 -214159265359/50000000000)) (+.f32 u2 u2))
(+.f32 (neg.f32 (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000))) (+.f32 (+.f32 u2 u2) (+.f32 u2 u2)))
(+.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 0) (*.f32 u2 314159265359/50000000000))
(+.f32 (*.f32 (+.f32 u2 u2) 364159265359/100000000000) (neg.f32 u2))
(+.f32 (-.f32 (*.f32 u2 -264159265359/25000000000) u2) (-.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (*.f32 u2 -264159265359/50000000000)))
(+.f32 (+.f32 (*.f32 u2 -214159265359/50000000000) (*.f32 u2 -214159265359/50000000000)) (-.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000))))
(+.f32 (+.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (*.f32 (*.f32 u2 314159265359/50000000000) 2)) (-.f32 0 (+.f32 (*.f32 u2 314159265359/50000000000) (*.f32 (*.f32 u2 314159265359/50000000000) 2))))
(+.f32 (+.f32 u2 (+.f32 (+.f32 (+.f32 u2 u2) (+.f32 u2 u2)) (+.f32 u2 (+.f32 u2 u2)))) (-.f32 0 (+.f32 (*.f32 u2 -214159265359/50000000000) (+.f32 (+.f32 (+.f32 u2 u2) (+.f32 u2 u2)) (+.f32 u2 u2)))))
(+.f32 (*.f32 u2 1/2) (*.f32 1/2 (+.f32 (*.f32 u2 314159265359/50000000000) (*.f32 u2 264159265359/50000000000))))
(+.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 1/2) (*.f32 1/2 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (*.f32 u2 -214159265359/50000000000) -1) (*.f32 -1 (-.f32 (neg.f32 u2) u2)))
(*.f32 u2 314159265359/50000000000)
(*.f32 1 (*.f32 u2 314159265359/50000000000))
(*.f32 (*.f32 u2 314159265359/50000000000) 1)
(*.f32 (+.f32 u2 u2) 314159265359/100000000000)
(*.f32 1/2 (*.f32 (*.f32 u2 314159265359/50000000000) 2))
(*.f32 1/2 (-.f32 (+.f32 u2 u2) (*.f32 u2 -264159265359/25000000000)))
(*.f32 -1 (*.f32 u2 -314159265359/50000000000))
(*.f32 (*.f32 u2 -314159265359/50000000000) -1)
(*.f32 (neg.f32 u2) -314159265359/50000000000)
(*.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) 1/2)
(*.f32 (+.f32 (*.f32 u2 -314159265359/50000000000) (*.f32 u2 -314159265359/50000000000)) -1/2)
(/.f32 1 (/.f32 1 (*.f32 u2 314159265359/50000000000)))
(/.f32 (*.f32 u2 314159265359/50000000000) 1)
(/.f32 1/2 (/.f32 1 (*.f32 (*.f32 u2 314159265359/50000000000) 2)))
(/.f32 1/2 (/.f32 -1 (+.f32 (*.f32 u2 -314159265359/50000000000) (*.f32 u2 -314159265359/50000000000))))
(/.f32 -1 (/.f32 1 (*.f32 u2 -314159265359/50000000000)))
(/.f32 -1 (/.f32 -1 (*.f32 u2 314159265359/50000000000)))
(/.f32 (*.f32 u2 -314159265359/50000000000) -1)
(/.f32 314159265359/50000000000 (/.f32 1 u2))
(/.f32 (-.f32 (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000)) (+.f32 (*.f32 u2 -214159265359/50000000000) (*.f32 u2 -214159265359/50000000000))) 1)
(/.f32 (-.f32 (-.f32 u2 (*.f32 (*.f32 u2 314159265359/50000000000) 2)) (*.f32 u2 -264159265359/50000000000)) -1)
(/.f32 (-.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 0) (*.f32 u2 314159265359/50000000000)) -1)
(/.f32 (-.f32 (-.f32 (+.f32 u2 u2) (*.f32 (*.f32 u2 314159265359/50000000000) 2)) (*.f32 u2 -214159265359/50000000000)) -1)
(/.f32 (-.f32 (neg.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2)) (*.f32 u2 -314159265359/50000000000)) -1)
(/.f32 (-.f32 (-.f32 (+.f32 u2 u2) (-.f32 (*.f32 u2 314159265359/50000000000) (*.f32 u2 -214159265359/50000000000))) (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000))) -1)
(/.f32 (-.f32 (+.f32 (*.f32 u2 314159265359/50000000000) (*.f32 (*.f32 u2 314159265359/50000000000) 2)) (+.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (*.f32 (*.f32 u2 314159265359/50000000000) 2))) -1)
(/.f32 (-.f32 (+.f32 (*.f32 u2 -214159265359/50000000000) (+.f32 (+.f32 (+.f32 u2 u2) (+.f32 u2 u2)) (+.f32 u2 u2))) (+.f32 u2 (+.f32 (+.f32 (+.f32 u2 u2) (+.f32 u2 u2)) (+.f32 u2 (+.f32 u2 u2))))) -1)
(/.f32 (-.f32 (+.f32 (*.f32 u2 -314159265359/50000000000) (*.f32 u2 -314159265359/50000000000)) (*.f32 u2 -314159265359/50000000000)) -1)
(neg.f32 (*.f32 u2 -314159265359/50000000000))
Outputs
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 -264159265359/50000000000 u2)
(*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (*.f32 -1/2 (/.f32 (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000))) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (*.f32 u2 314159265359/50000000000))))))
(+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (*.f32 -1/2 (*.f32 (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 -1/2 (+.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) u1)) (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (+.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) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (*.f32 (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))) (*.f32 -1/2 (*.f32 (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))) (/.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 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000))) (+.f32 (*.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 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))))) (*.f32 -1/2 (+.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) u1)) (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))))
(*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) u1)) (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (*.f32 1/2 (*.f32 (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))) (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 1/2 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) u1)) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (pow.f32 u1 2)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (+.f32 (*.f32 1/2 (*.f32 (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))) (/.f32 (sqrt.f32 -1) u1))) (*.f32 3/8 (*.f32 (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))) (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000))) (+.f32 (*.f32 1/2 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 -1) u1))) (*.f32 3/8 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) u1)) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (pow.f32 u1 3))) (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (pow.f32 u1 2))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (+.f32 (*.f32 1/2 (*.f32 (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))) (/.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 3/8 (*.f32 (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))) (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (*.f32 5/16 (*.f32 (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))) (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000))) (+.f32 (*.f32 1/2 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 3/8 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (*.f32 5/16 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
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(+.f32 u2 (+.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (*.f32 u2 -364159265359/50000000000)))
(+.f32 (*.f32 2 (*.f32 u2 314159265359/50000000000)) (+.f32 u2 (*.f32 u2 -364159265359/50000000000)))
(+.f32 (*.f32 u2 314159265359/25000000000) (+.f32 u2 (*.f32 u2 -364159265359/50000000000)))
(+.f32 u2 (-.f32 (*.f32 u2 264159265359/50000000000) (-.f32 u2 u2)))
(-.f32 (*.f32 u2 314159265359/50000000000) (-.f32 u2 u2))
(+.f32 u2 (-.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (*.f32 (+.f32 u2 u2) 364159265359/100000000000)))
(+.f32 u2 (-.f32 (*.f32 2 (*.f32 u2 314159265359/50000000000)) (*.f32 (+.f32 u2 u2) 364159265359/100000000000)))
(-.f32 (+.f32 u2 (*.f32 u2 314159265359/25000000000)) (*.f32 (+.f32 u2 u2) 364159265359/100000000000))
(+.f32 u2 (*.f32 1/2 (-.f32 (*.f32 u2 314159265359/50000000000) (*.f32 u2 -214159265359/50000000000))))
(*.f32 u2 314159265359/50000000000)
(+.f32 (*.f32 u2 -264159265359/50000000000) (+.f32 (*.f32 u2 314159265359/50000000000) (*.f32 u2 264159265359/50000000000)))
(*.f32 u2 314159265359/50000000000)
(+.f32 (*.f32 u2 -264159265359/50000000000) (+.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (neg.f32 u2)))
(*.f32 u2 314159265359/50000000000)
(+.f32 (*.f32 u2 -264159265359/50000000000) (-.f32 u2 (*.f32 u2 -264159265359/25000000000)))
(*.f32 u2 314159265359/50000000000)
(+.f32 (*.f32 u2 -264159265359/50000000000) (-.f32 0 (-.f32 (*.f32 u2 -264159265359/25000000000) u2)))
(*.f32 u2 314159265359/50000000000)
(+.f32 (*.f32 u2 -264159265359/50000000000) (-.f32 0 (-.f32 u2 (*.f32 (*.f32 u2 314159265359/50000000000) 2))))
(*.f32 u2 314159265359/50000000000)
(+.f32 (*.f32 u2 314159265359/50000000000) 0)
(*.f32 u2 314159265359/50000000000)
(+.f32 (*.f32 u2 314159265359/50000000000) (*.f32 (*.f32 u2 314159265359/50000000000) 0))
(*.f32 u2 314159265359/50000000000)
(+.f32 (*.f32 u2 314159265359/50000000000) (-.f32 u2 u2))
(+.f32 (*.f32 u2 264159265359/50000000000) (+.f32 u2 (-.f32 u2 u2)))
(+.f32 u2 (-.f32 (*.f32 u2 314159265359/50000000000) u2))
(+.f32 (*.f32 u2 314159265359/50000000000) (+.f32 0 (*.f32 (*.f32 u2 314159265359/50000000000) 0)))
(*.f32 u2 314159265359/50000000000)
(+.f32 (*.f32 u2 314159265359/50000000000) (-.f32 0 (*.f32 (*.f32 u2 314159265359/50000000000) 0)))
(*.f32 u2 314159265359/50000000000)
(+.f32 0 (*.f32 u2 314159265359/50000000000))
(*.f32 u2 314159265359/50000000000)
(+.f32 (+.f32 u2 u2) (neg.f32 (*.f32 u2 -214159265359/50000000000)))
(+.f32 (+.f32 u2 u2) (*.f32 u2 214159265359/50000000000))
(+.f32 (+.f32 u2 u2) (*.f32 1 (neg.f32 (*.f32 u2 -214159265359/50000000000))))
(+.f32 (+.f32 u2 u2) (neg.f32 (*.f32 u2 -214159265359/50000000000)))
(+.f32 (+.f32 u2 u2) (*.f32 u2 214159265359/50000000000))
(+.f32 (+.f32 u2 u2) (*.f32 1/2 (-.f32 (*.f32 u2 314159265359/50000000000) (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000)))))
(+.f32 (+.f32 u2 u2) (-.f32 (*.f32 u2 314159265359/100000000000) (*.f32 1/2 (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000)))))
(+.f32 (+.f32 u2 u2) (*.f32 -1/2 (+.f32 (*.f32 u2 -264159265359/25000000000) (+.f32 u2 u2))))
(+.f32 (*.f32 u2 -214159265359/50000000000) (+.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (-.f32 (neg.f32 u2) u2)))
(+.f32 (*.f32 2 (*.f32 u2 314159265359/50000000000)) (+.f32 (*.f32 u2 -214159265359/50000000000) (-.f32 (neg.f32 u2) u2)))
(+.f32 (*.f32 u2 314159265359/25000000000) (-.f32 (*.f32 u2 -214159265359/50000000000) (+.f32 u2 u2)))
(+.f32 (*.f32 u2 -214159265359/50000000000) (-.f32 0 (-.f32 (+.f32 u2 u2) (*.f32 (*.f32 u2 314159265359/50000000000) 2))))
(+.f32 (*.f32 2 (*.f32 u2 314159265359/50000000000)) (+.f32 (*.f32 u2 -214159265359/50000000000) (-.f32 (neg.f32 u2) u2)))
(+.f32 (*.f32 u2 314159265359/25000000000) (-.f32 (*.f32 u2 -214159265359/50000000000) (+.f32 u2 u2)))
(+.f32 (*.f32 u2 -214159265359/50000000000) (-.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (+.f32 u2 u2)))
(+.f32 (*.f32 2 (*.f32 u2 314159265359/50000000000)) (+.f32 (*.f32 u2 -214159265359/50000000000) (-.f32 (neg.f32 u2) u2)))
(+.f32 (*.f32 u2 314159265359/25000000000) (-.f32 (*.f32 u2 -214159265359/50000000000) (+.f32 u2 u2)))
(+.f32 (*.f32 u2 264159265359/50000000000) u2)
(*.f32 u2 314159265359/50000000000)
(+.f32 (*.f32 u2 -314159265359/50000000000) (*.f32 (*.f32 u2 314159265359/50000000000) 2))
(*.f32 u2 314159265359/50000000000)
(+.f32 (*.f32 u2 -314159265359/50000000000) (-.f32 0 (neg.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2))))
(*.f32 u2 314159265359/50000000000)
(+.f32 (neg.f32 u2) (*.f32 -1 (*.f32 u2 -364159265359/50000000000)))
(+.f32 (neg.f32 u2) (*.f32 u2 364159265359/50000000000))
(+.f32 (neg.f32 u2) (/.f32 (*.f32 u2 -364159265359/50000000000) -1))
(+.f32 (neg.f32 u2) (*.f32 u2 364159265359/50000000000))
(+.f32 (*.f32 u2 -264159265359/25000000000) (-.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (*.f32 u2 -214159265359/50000000000)))
(*.f32 u2 314159265359/50000000000)
(+.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (*.f32 u2 -314159265359/50000000000))
(*.f32 u2 314159265359/50000000000)
(+.f32 (+.f32 (+.f32 u2 u2) (+.f32 u2 u2)) (neg.f32 (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000))))
(+.f32 (+.f32 u2 u2) (neg.f32 (*.f32 u2 -214159265359/50000000000)))
(+.f32 (+.f32 u2 u2) (*.f32 u2 214159265359/50000000000))
(+.f32 (+.f32 (+.f32 u2 u2) (+.f32 u2 u2)) (+.f32 0 (neg.f32 (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000)))))
(+.f32 (+.f32 u2 u2) (neg.f32 (*.f32 u2 -214159265359/50000000000)))
(+.f32 (+.f32 u2 u2) (*.f32 u2 214159265359/50000000000))
(+.f32 (+.f32 (+.f32 u2 u2) (+.f32 u2 u2)) (-.f32 (*.f32 u2 264159265359/50000000000) (+.f32 u2 (+.f32 u2 u2))))
(+.f32 (*.f32 u2 264159265359/50000000000) (+.f32 u2 (-.f32 u2 u2)))
(+.f32 u2 (-.f32 (*.f32 u2 314159265359/50000000000) u2))
(+.f32 (+.f32 (+.f32 u2 u2) (+.f32 u2 u2)) (*.f32 1 (neg.f32 (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000)))))
(+.f32 (+.f32 u2 u2) (neg.f32 (*.f32 u2 -214159265359/50000000000)))
(+.f32 (+.f32 u2 u2) (*.f32 u2 214159265359/50000000000))
(+.f32 (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000)) (-.f32 0 (-.f32 (+.f32 u2 u2) (-.f32 (*.f32 u2 314159265359/50000000000) (*.f32 u2 -214159265359/50000000000)))))
(+.f32 (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000)) (neg.f32 (+.f32 u2 (-.f32 u2 (-.f32 (*.f32 u2 314159265359/50000000000) (*.f32 u2 -214159265359/50000000000))))))
(+.f32 (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000)) (-.f32 (*.f32 u2 264159265359/25000000000) (+.f32 u2 u2)))
(+.f32 (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000)) (-.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (+.f32 (+.f32 u2 u2) (+.f32 u2 u2))))
(+.f32 (*.f32 2 (*.f32 u2 314159265359/50000000000)) (-.f32 (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000)) (+.f32 (+.f32 u2 u2) (+.f32 u2 u2))))
(+.f32 (*.f32 u2 314159265359/25000000000) (+.f32 (*.f32 u2 -214159265359/50000000000) (-.f32 u2 (+.f32 u2 (+.f32 u2 u2)))))
(+.f32 (neg.f32 (*.f32 u2 -214159265359/50000000000)) (+.f32 u2 u2))
(+.f32 (+.f32 u2 u2) (neg.f32 (*.f32 u2 -214159265359/50000000000)))
(+.f32 (+.f32 u2 u2) (*.f32 u2 214159265359/50000000000))
(+.f32 (neg.f32 (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000))) (+.f32 (+.f32 u2 u2) (+.f32 u2 u2)))
(+.f32 (+.f32 u2 u2) (neg.f32 (*.f32 u2 -214159265359/50000000000)))
(+.f32 (+.f32 u2 u2) (*.f32 u2 214159265359/50000000000))
(+.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 0) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 314159265359/50000000000)
(+.f32 (*.f32 (+.f32 u2 u2) 364159265359/100000000000) (neg.f32 u2))
(+.f32 (neg.f32 u2) (*.f32 (+.f32 u2 u2) 364159265359/100000000000))
(+.f32 (-.f32 (*.f32 u2 -264159265359/25000000000) u2) (-.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (*.f32 u2 -264159265359/50000000000)))
(*.f32 u2 314159265359/50000000000)
(+.f32 (+.f32 (*.f32 u2 -214159265359/50000000000) (*.f32 u2 -214159265359/50000000000)) (-.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000))))
(+.f32 (*.f32 2 (*.f32 u2 314159265359/50000000000)) (+.f32 (*.f32 u2 -214159265359/50000000000) (-.f32 (neg.f32 u2) u2)))
(+.f32 (*.f32 u2 314159265359/25000000000) (-.f32 (*.f32 u2 -214159265359/50000000000) (+.f32 u2 u2)))
(+.f32 (+.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (*.f32 (*.f32 u2 314159265359/50000000000) 2)) (-.f32 0 (+.f32 (*.f32 u2 314159265359/50000000000) (*.f32 (*.f32 u2 314159265359/50000000000) 2))))
(*.f32 u2 314159265359/50000000000)
(+.f32 (+.f32 u2 (+.f32 (+.f32 (+.f32 u2 u2) (+.f32 u2 u2)) (+.f32 u2 (+.f32 u2 u2)))) (-.f32 0 (+.f32 (*.f32 u2 -214159265359/50000000000) (+.f32 (+.f32 (+.f32 u2 u2) (+.f32 u2 u2)) (+.f32 u2 u2)))))
(+.f32 (+.f32 u2 u2) (neg.f32 (*.f32 u2 -214159265359/50000000000)))
(+.f32 (+.f32 u2 u2) (*.f32 u2 214159265359/50000000000))
(+.f32 (*.f32 u2 1/2) (*.f32 1/2 (+.f32 (*.f32 u2 314159265359/50000000000) (*.f32 u2 264159265359/50000000000))))
(*.f32 u2 314159265359/50000000000)
(+.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 1/2) (*.f32 1/2 (*.f32 u2 314159265359/50000000000)))
(*.f32 u2 314159265359/50000000000)
(+.f32 (*.f32 (*.f32 u2 -214159265359/50000000000) -1) (*.f32 -1 (-.f32 (neg.f32 u2) u2)))
(*.f32 -1 (+.f32 (*.f32 u2 -214159265359/50000000000) (-.f32 (neg.f32 u2) u2)))
(+.f32 (*.f32 u2 214159265359/50000000000) (neg.f32 (-.f32 (neg.f32 u2) u2)))
(*.f32 u2 314159265359/50000000000)
(*.f32 1 (*.f32 u2 314159265359/50000000000))
(*.f32 u2 314159265359/50000000000)
(*.f32 (*.f32 u2 314159265359/50000000000) 1)
(*.f32 u2 314159265359/50000000000)
(*.f32 (+.f32 u2 u2) 314159265359/100000000000)
(*.f32 u2 314159265359/50000000000)
(*.f32 1/2 (*.f32 (*.f32 u2 314159265359/50000000000) 2))
(*.f32 u2 314159265359/50000000000)
(*.f32 1/2 (-.f32 (+.f32 u2 u2) (*.f32 u2 -264159265359/25000000000)))
(*.f32 -1/2 (-.f32 (*.f32 u2 -264159265359/25000000000) (+.f32 u2 u2)))
(-.f32 (*.f32 u2 264159265359/50000000000) (*.f32 -1/2 (+.f32 u2 u2)))
(*.f32 -1 (*.f32 u2 -314159265359/50000000000))
(*.f32 u2 314159265359/50000000000)
(*.f32 (*.f32 u2 -314159265359/50000000000) -1)
(*.f32 u2 314159265359/50000000000)
(*.f32 (neg.f32 u2) -314159265359/50000000000)
(*.f32 u2 314159265359/50000000000)
(*.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) 1/2)
(*.f32 u2 314159265359/50000000000)
(*.f32 (+.f32 (*.f32 u2 -314159265359/50000000000) (*.f32 u2 -314159265359/50000000000)) -1/2)
(*.f32 u2 314159265359/50000000000)
(/.f32 1 (/.f32 1 (*.f32 u2 314159265359/50000000000)))
(*.f32 u2 314159265359/50000000000)
(/.f32 (*.f32 u2 314159265359/50000000000) 1)
(*.f32 u2 314159265359/50000000000)
(/.f32 1/2 (/.f32 1 (*.f32 (*.f32 u2 314159265359/50000000000) 2)))
(*.f32 u2 314159265359/50000000000)
(/.f32 1/2 (/.f32 -1 (+.f32 (*.f32 u2 -314159265359/50000000000) (*.f32 u2 -314159265359/50000000000))))
(*.f32 u2 314159265359/50000000000)
(/.f32 -1 (/.f32 1 (*.f32 u2 -314159265359/50000000000)))
(*.f32 u2 314159265359/50000000000)
(/.f32 -1 (/.f32 -1 (*.f32 u2 314159265359/50000000000)))
(*.f32 u2 314159265359/50000000000)
(/.f32 (*.f32 u2 -314159265359/50000000000) -1)
(*.f32 u2 314159265359/50000000000)
(/.f32 314159265359/50000000000 (/.f32 1 u2))
(*.f32 u2 314159265359/50000000000)
(/.f32 (-.f32 (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000)) (+.f32 (*.f32 u2 -214159265359/50000000000) (*.f32 u2 -214159265359/50000000000))) 1)
(-.f32 (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000)) (+.f32 (*.f32 u2 -214159265359/50000000000) (*.f32 u2 -214159265359/50000000000)))
(neg.f32 (-.f32 (*.f32 u2 -214159265359/50000000000) (+.f32 u2 u2)))
(/.f32 (-.f32 (-.f32 u2 (*.f32 (*.f32 u2 314159265359/50000000000) 2)) (*.f32 u2 -264159265359/50000000000)) -1)
(*.f32 u2 314159265359/50000000000)
(/.f32 (-.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 0) (*.f32 u2 314159265359/50000000000)) -1)
(*.f32 u2 314159265359/50000000000)
(/.f32 (-.f32 (-.f32 (+.f32 u2 u2) (*.f32 (*.f32 u2 314159265359/50000000000) 2)) (*.f32 u2 -214159265359/50000000000)) -1)
(+.f32 (*.f32 2 (*.f32 u2 314159265359/50000000000)) (+.f32 (*.f32 u2 -214159265359/50000000000) (-.f32 (neg.f32 u2) u2)))
(+.f32 (*.f32 u2 314159265359/25000000000) (-.f32 (*.f32 u2 -214159265359/50000000000) (+.f32 u2 u2)))
(/.f32 (-.f32 (neg.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2)) (*.f32 u2 -314159265359/50000000000)) -1)
(*.f32 u2 314159265359/50000000000)
(/.f32 (-.f32 (-.f32 (+.f32 u2 u2) (-.f32 (*.f32 u2 314159265359/50000000000) (*.f32 u2 -214159265359/50000000000))) (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000))) -1)
(+.f32 (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000)) (neg.f32 (+.f32 u2 (-.f32 u2 (-.f32 (*.f32 u2 314159265359/50000000000) (*.f32 u2 -214159265359/50000000000))))))
(+.f32 (+.f32 (+.f32 u2 u2) (*.f32 u2 -214159265359/50000000000)) (-.f32 (*.f32 u2 264159265359/25000000000) (+.f32 u2 u2)))
(/.f32 (-.f32 (+.f32 (*.f32 u2 314159265359/50000000000) (*.f32 (*.f32 u2 314159265359/50000000000) 2)) (+.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (*.f32 (*.f32 u2 314159265359/50000000000) 2))) -1)
(*.f32 u2 314159265359/50000000000)
(/.f32 (-.f32 (+.f32 (*.f32 u2 -214159265359/50000000000) (+.f32 (+.f32 (+.f32 u2 u2) (+.f32 u2 u2)) (+.f32 u2 u2))) (+.f32 u2 (+.f32 (+.f32 (+.f32 u2 u2) (+.f32 u2 u2)) (+.f32 u2 (+.f32 u2 u2))))) -1)
(+.f32 (+.f32 u2 u2) (neg.f32 (*.f32 u2 -214159265359/50000000000)))
(+.f32 (+.f32 u2 u2) (*.f32 u2 214159265359/50000000000))
(/.f32 (-.f32 (+.f32 (*.f32 u2 -314159265359/50000000000) (*.f32 u2 -314159265359/50000000000)) (*.f32 u2 -314159265359/50000000000)) -1)
(*.f32 u2 314159265359/50000000000)
(neg.f32 (*.f32 u2 -314159265359/50000000000))
(*.f32 u2 314159265359/50000000000)

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(*.f32 u2 (sqrt.f32 u1))
✓0.3b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
Compiler

Compiled 18 to 8 computations (55.6% saved)

series4.0ms (0%)

Counts
2 → 0
Calls

12 calls:

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

rewrite69.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1356×rational.json-1
1356×rational.json-2
1356×rational.json-3
1350×rational.json-4
674×rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
15128
214928
370528
4572328
Stop Event
1×node limit
Counts
2 → 187
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (sqrt.f32 u1))
Outputs
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simplify92.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1322×rational.json-simplify-21
1214×rational.json-simplify-23
1152×rational.json-simplify-1
988×rational.json-simplify-29
416×rational.json-simplify-63
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03444925
111214375
249354369
Stop Event
1×node limit
Counts
187 → 252
Calls
Call 1
Inputs
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) 0)
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (-.f32 u2 u2))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (*.f32 (sqrt.f32 u1) 0))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (*.f32 u2 (*.f32 (sqrt.f32 u1) 0)))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (*.f32 0 (-.f32 (sqrt.f32 u1) u2)))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (/.f32 (-.f32 u2 u2) 50000000000/314159265359))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (*.f32 314159265359/50000000000 (*.f32 0 (-.f32 (sqrt.f32 u1) u2))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (*.f32 (*.f32 314159265359/50000000000 u2) 0))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (*.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) 0))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (/.f32 (*.f32 0 (-.f32 (sqrt.f32 u1) u2)) 50000000000/314159265359))
(+.f32 0 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)) (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/25000000000)))
(+.f32 (-.f32 u2 u2) (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))))
(+.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))))
(+.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/25000000000)) (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)))
(+.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 0)) (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))))
(+.f32 (*.f32 0 (-.f32 (sqrt.f32 u1) u2)) (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))))
(+.f32 (*.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/25000000000)) 2) (-.f32 0 (*.f32 (*.f32 u2 (sqrt.f32 u1)) 942477796077/50000000000)))
(+.f32 (*.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/25000000000)) 2) (-.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (*.f32 u2 (sqrt.f32 u1)) 942477796077/50000000000)))
(+.f32 (-.f32 0 (*.f32 (*.f32 u2 (sqrt.f32 u1)) 942477796077/50000000000)) (*.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/25000000000)) 2))
(+.f32 (-.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (*.f32 u2 (sqrt.f32 u1)) 942477796077/50000000000)) (*.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/25000000000)) 2))
(+.f32 (/.f32 (-.f32 u2 u2) 50000000000/314159265359) (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))))
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(+.f32 (*.f32 (*.f32 314159265359/50000000000 u2) 0) (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))))
(+.f32 (*.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) 1/2) (*.f32 1/2 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))))
(+.f32 (*.f32 1/2 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) (*.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) 1/2))
(+.f32 (*.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) 0) (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))))
(+.f32 (/.f32 (*.f32 0 (-.f32 (sqrt.f32 u1) u2)) 50000000000/314159265359) (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))))
(-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) 0)
(-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (-.f32 u2 u2))
(-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (*.f32 (sqrt.f32 u1) 0))
(-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (*.f32 u2 (*.f32 (sqrt.f32 u1) 0)))
(-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (*.f32 0 (-.f32 (sqrt.f32 u1) u2)))
(-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (/.f32 (-.f32 u2 u2) 50000000000/314159265359))
(-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (*.f32 (*.f32 314159265359/50000000000 u2) 0))
(-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (*.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) 0))
(-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (+.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 0)) (*.f32 u2 (*.f32 (sqrt.f32 u1) 0))))
(-.f32 0 (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)))
(-.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)) (-.f32 0 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/25000000000))))
(-.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)) (/.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/25000000000)) -1))
(-.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)) (*.f32 -314159265359/50000000000 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2))))
(-.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)) (*.f32 -1 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/25000000000))))
(-.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)) (*.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) (+.f32 u2 u2)))
(-.f32 (-.f32 u2 u2) (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)))
(-.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)))
(-.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/25000000000)) (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))))
(-.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 0)) (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)))
(-.f32 (*.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/25000000000)) 2) (*.f32 (*.f32 u2 (sqrt.f32 u1)) 942477796077/50000000000))
(-.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) 942477796077/50000000000) (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/25000000000)))
(-.f32 (-.f32 (*.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/25000000000)) 2) (-.f32 u2 u2)) (*.f32 (*.f32 u2 (sqrt.f32 u1)) 942477796077/50000000000))
(-.f32 (-.f32 (*.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/25000000000)) 2) (*.f32 (sqrt.f32 u1) 0)) (*.f32 (*.f32 u2 (sqrt.f32 u1)) 942477796077/50000000000))
(-.f32 (-.f32 (*.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/25000000000)) 2) (*.f32 u2 (*.f32 (sqrt.f32 u1) 0))) (*.f32 (*.f32 u2 (sqrt.f32 u1)) 942477796077/50000000000))
(-.f32 (+.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/25000000000)) 2)) (*.f32 (*.f32 u2 (sqrt.f32 u1)) 942477796077/50000000000))
(-.f32 (/.f32 (*.f32 (+.f32 u2 u2) 2) (/.f32 50000000000/314159265359 (sqrt.f32 u1))) (/.f32 (*.f32 u2 3) (/.f32 50000000000/314159265359 (sqrt.f32 u1))))
(-.f32 (/.f32 (-.f32 u2 u2) 50000000000/314159265359) (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)))
(-.f32 (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)) 2) 50000000000/314159265359) (/.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 3)) 50000000000/314159265359))
(-.f32 (*.f32 (-.f32 u2 u2) -314159265359/50000000000) (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)))
(-.f32 (*.f32 (*.f32 (sqrt.f32 u1) 0) -314159265359/50000000000) (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)))
(-.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)) 2) 314159265359/50000000000) (*.f32 (*.f32 u2 (sqrt.f32 u1)) 942477796077/50000000000))
(-.f32 (*.f32 (*.f32 314159265359/50000000000 (+.f32 u2 u2)) (sqrt.f32 u1)) (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))))
(-.f32 (*.f32 (*.f32 (+.f32 u2 u2) 2) (*.f32 314159265359/50000000000 (sqrt.f32 u1))) (*.f32 (*.f32 u2 (sqrt.f32 u1)) 942477796077/50000000000))
(-.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) 2) (*.f32 314159265359/50000000000 u2)) (*.f32 (*.f32 314159265359/50000000000 u2) (*.f32 (sqrt.f32 u1) 3)))
(-.f32 (*.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) 942477796077/50000000000) 1/2) (*.f32 1/2 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))))
(-.f32 (+.f32 (*.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/25000000000)) 2) (*.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/25000000000)) 2)) (+.f32 (*.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/25000000000)) 2) (*.f32 (*.f32 u2 (sqrt.f32 u1)) 942477796077/50000000000)))
(/.f32 314159265359/50000000000 (/.f32 1 (*.f32 u2 (sqrt.f32 u1))))
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(/.f32 (sqrt.f32 u1) (/.f32 1 (*.f32 314159265359/50000000000 u2)))
(/.f32 (sqrt.f32 u1) (*.f32 (/.f32 1 u2) 50000000000/314159265359))
(/.f32 (sqrt.f32 u1) (*.f32 50000000000/314159265359 (/.f32 1 u2)))
(/.f32 (sqrt.f32 u1) (/.f32 -1 (*.f32 u2 -314159265359/50000000000)))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) 50000000000/314159265359)
(/.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) 1)
(/.f32 1 (/.f32 50000000000/314159265359 (*.f32 u2 (sqrt.f32 u1))))
(/.f32 1 (*.f32 (/.f32 1 u2) (/.f32 50000000000/314159265359 (sqrt.f32 u1))))
(/.f32 (*.f32 314159265359/50000000000 (sqrt.f32 u1)) (/.f32 1 u2))
(/.f32 -1 (/.f32 1 (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000))))
(/.f32 (*.f32 (sqrt.f32 u1) (neg.f32 u2)) -50000000000/314159265359)
(/.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)) -1)
(/.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 (/.f32 -1 u2) 314159265359/50000000000))
(/.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 -1 (*.f32 314159265359/50000000000 u2)))
(/.f32 (neg.f32 (sqrt.f32 u1)) (*.f32 (/.f32 -1 u2) 50000000000/314159265359))
(/.f32 (neg.f32 u2) (/.f32 (/.f32 -1 (sqrt.f32 u1)) 314159265359/50000000000))
(/.f32 (neg.f32 u2) (/.f32 -1 (*.f32 314159265359/50000000000 (sqrt.f32 u1))))
(/.f32 (neg.f32 u2) (*.f32 -1 (/.f32 50000000000/314159265359 (sqrt.f32 u1))))
(/.f32 (neg.f32 u2) (*.f32 (/.f32 -1 (sqrt.f32 u1)) 50000000000/314159265359))
(/.f32 (neg.f32 u2) (neg.f32 (/.f32 50000000000/314159265359 (sqrt.f32 u1))))
(/.f32 (*.f32 314159265359/50000000000 u2) (/.f32 1 (sqrt.f32 u1)))
(/.f32 -314159265359/50000000000 (-.f32 0 (/.f32 1 (*.f32 u2 (sqrt.f32 u1)))))
(/.f32 -314159265359/50000000000 (/.f32 1 (*.f32 (sqrt.f32 u1) (neg.f32 u2))))
(/.f32 1/2 (/.f32 (/.f32 (/.f32 1/2 u2) (sqrt.f32 u1)) 314159265359/50000000000))
(/.f32 1/2 (/.f32 (/.f32 1/2 u2) (*.f32 314159265359/50000000000 (sqrt.f32 u1))))
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 u2)))
(/.f32 1/2 (/.f32 (/.f32 1 (*.f32 u2 (sqrt.f32 u1))) 314159265359/25000000000))
(/.f32 1/2 (/.f32 1 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/25000000000))))
(/.f32 1/2 (/.f32 -1 (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)) (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)))))
(/.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) (/.f32 -1 u2))
(/.f32 314159265359/100000000000 (/.f32 (/.f32 1/2 u2) (sqrt.f32 u1)))
(/.f32 314159265359/25000000000 (/.f32 (/.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1/2))
(/.f32 (*.f32 u2 -314159265359/50000000000) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) 50000000000/314159265359) (/.f32 -1 u2))
(/.f32 (/.f32 (neg.f32 u2) 50000000000/314159265359) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (/.f32 (*.f32 314159265359/50000000000 (sqrt.f32 u1)) 2) (/.f32 1/2 u2))
(/.f32 (/.f32 (*.f32 314159265359/50000000000 u2) 2) (/.f32 1/2 (sqrt.f32 u1)))
(/.f32 (neg.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 -1 (sqrt.f32 u1)))
(neg.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) 0)
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (-.f32 u2 u2))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) 0))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 u2 (*.f32 (sqrt.f32 u1) 0)))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 0 (-.f32 (sqrt.f32 u1) u2)))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (+.f32 (-.f32 u2 u2) (*.f32 0 (-.f32 (sqrt.f32 u1) u2))))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (+.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 0 (-.f32 (sqrt.f32 u1) u2))))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (-.f32 (*.f32 0 (-.f32 (sqrt.f32 u1) u2)) (-.f32 u2 u2)))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (-.f32 (*.f32 0 (-.f32 (sqrt.f32 u1) u2)) (*.f32 (sqrt.f32 u1) 0)))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (-.f32 (*.f32 0 (-.f32 (sqrt.f32 u1) u2)) (*.f32 u2 (*.f32 (sqrt.f32 u1) 0))))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 1 (*.f32 0 (-.f32 (sqrt.f32 u1) u2))))
(+.f32 0 (*.f32 u2 (sqrt.f32 u1)))
(+.f32 (*.f32 (sqrt.f32 u1) (neg.f32 u2)) (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)))
(+.f32 (-.f32 u2 u2) (*.f32 u2 (sqrt.f32 u1)))
(+.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 u2 (sqrt.f32 u1)))
(+.f32 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)) (*.f32 (sqrt.f32 u1) (neg.f32 u2)))
(+.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 0)) (*.f32 u2 (sqrt.f32 u1)))
(+.f32 (*.f32 0 (-.f32 (sqrt.f32 u1) u2)) (*.f32 u2 (sqrt.f32 u1)))
(+.f32 (*.f32 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)) 2) (-.f32 0 (*.f32 (sqrt.f32 u1) (*.f32 u2 3))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)) 2) (-.f32 (-.f32 u2 u2) (*.f32 (sqrt.f32 u1) (*.f32 u2 3))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)) 2) (-.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (sqrt.f32 u1) (*.f32 u2 3))))
(+.f32 (*.f32 1/2 (*.f32 u2 (sqrt.f32 u1))) (*.f32 (*.f32 u2 (sqrt.f32 u1)) 1/2))
(+.f32 (+.f32 (-.f32 u2 u2) (*.f32 0 (-.f32 (sqrt.f32 u1) u2))) (*.f32 u2 (sqrt.f32 u1)))
(+.f32 (+.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 0 (-.f32 (sqrt.f32 u1) u2))) (*.f32 u2 (sqrt.f32 u1)))
(+.f32 (-.f32 0 (*.f32 (sqrt.f32 u1) (*.f32 u2 3))) (*.f32 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)) 2))
(+.f32 (-.f32 (-.f32 u2 u2) (*.f32 (sqrt.f32 u1) (*.f32 u2 3))) (*.f32 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)) 2))
(+.f32 (-.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (sqrt.f32 u1) (*.f32 u2 3))) (*.f32 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)) 2))
(+.f32 (-.f32 (*.f32 0 (-.f32 (sqrt.f32 u1) u2)) (-.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1)))
(+.f32 (-.f32 (*.f32 0 (-.f32 (sqrt.f32 u1) u2)) (*.f32 (sqrt.f32 u1) 0)) (*.f32 u2 (sqrt.f32 u1)))
(+.f32 (-.f32 (*.f32 0 (-.f32 (sqrt.f32 u1) u2)) (*.f32 u2 (*.f32 (sqrt.f32 u1) 0))) (*.f32 u2 (sqrt.f32 u1)))
(+.f32 (*.f32 1 (*.f32 0 (-.f32 (sqrt.f32 u1) u2))) (*.f32 u2 (sqrt.f32 u1)))
(+.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) 1/2) (*.f32 1/2 (*.f32 u2 (sqrt.f32 u1))))
(-.f32 (*.f32 u2 (sqrt.f32 u1)) 0)
(-.f32 (*.f32 u2 (sqrt.f32 u1)) (-.f32 u2 u2))
(-.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) 0))
(-.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 u2 (*.f32 (sqrt.f32 u1) 0)))
(-.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 0 (-.f32 (sqrt.f32 u1) u2)))
(-.f32 (*.f32 u2 (sqrt.f32 u1)) (+.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 0)) (*.f32 u2 (*.f32 (sqrt.f32 u1) 0))))
(-.f32 0 (*.f32 (sqrt.f32 u1) (neg.f32 u2)))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 u2)) (-.f32 0 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2))))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 u2)) (-.f32 (-.f32 u2 u2) (*.f32 (sqrt.f32 u1) (+.f32 u2 u2))))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 u2)) (-.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (sqrt.f32 u1) (+.f32 u2 u2))))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 u2)) (/.f32 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)) -1))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 u2)) (/.f32 (*.f32 (sqrt.f32 u1) 2) (/.f32 -1 u2)))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 u2)) (/.f32 (+.f32 u2 u2) (/.f32 -1 (sqrt.f32 u1))))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 u2)) (*.f32 (neg.f32 (sqrt.f32 u1)) (+.f32 u2 u2)))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 u2)) (*.f32 (neg.f32 u2) (*.f32 (sqrt.f32 u1) 2)))
(-.f32 (*.f32 (sqrt.f32 u1) (neg.f32 u2)) (*.f32 -1 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2))))
(-.f32 (-.f32 u2 u2) (*.f32 (sqrt.f32 u1) (neg.f32 u2)))
(-.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (sqrt.f32 u1) (neg.f32 u2)))
(-.f32 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1)))
(-.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 0)) (*.f32 (sqrt.f32 u1) (neg.f32 u2)))
(-.f32 (*.f32 0 (-.f32 (sqrt.f32 u1) u2)) (*.f32 (sqrt.f32 u1) (neg.f32 u2)))
(-.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 3)) (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)))
(-.f32 (*.f32 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)) 2) (*.f32 (sqrt.f32 u1) (*.f32 u2 3)))
(-.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)) 2) (*.f32 u2 (*.f32 (sqrt.f32 u1) 0))) (*.f32 (sqrt.f32 u1) (*.f32 u2 3)))
(-.f32 (+.f32 (-.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)) 2)) (*.f32 (sqrt.f32 u1) (*.f32 u2 3)))
(-.f32 (+.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)) 2)) (*.f32 (sqrt.f32 u1) (*.f32 u2 3)))
(-.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) 2) u2) (*.f32 (sqrt.f32 u1) (*.f32 u2 3)))
(-.f32 (*.f32 (*.f32 (+.f32 u2 u2) 2) (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) (*.f32 u2 3)))
(-.f32 (*.f32 (-.f32 u2 u2) -1) (*.f32 (sqrt.f32 u1) (neg.f32 u2)))
(-.f32 (*.f32 (*.f32 (sqrt.f32 u1) 0) -1) (*.f32 (sqrt.f32 u1) (neg.f32 u2)))
(-.f32 (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 3)) 1/2) (*.f32 1/2 (*.f32 u2 (sqrt.f32 u1))))
(-.f32 (+.f32 (*.f32 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)) 2) (*.f32 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)) 2)) (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 3)) (*.f32 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)) 2)))
(/.f32 u2 (/.f32 1 (sqrt.f32 u1)))
(/.f32 u2 (neg.f32 (/.f32 -1 (sqrt.f32 u1))))
(/.f32 (sqrt.f32 u1) (/.f32 1 u2))
(/.f32 (sqrt.f32 u1) (neg.f32 (/.f32 -1 u2)))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) 1)
(/.f32 1 (/.f32 1 (*.f32 u2 (sqrt.f32 u1))))
(/.f32 -1 (-.f32 0 (/.f32 1 (*.f32 u2 (sqrt.f32 u1)))))
(/.f32 -1 (/.f32 1 (*.f32 (sqrt.f32 u1) (neg.f32 u2))))
(/.f32 (*.f32 (sqrt.f32 u1) (neg.f32 u2)) -1)
(/.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 -1 u2))
(/.f32 (neg.f32 u2) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) 2) (/.f32 (/.f32 1 u2) 1/2))
(/.f32 (+.f32 u2 u2) (/.f32 (/.f32 1 (sqrt.f32 u1)) 1/2))
(/.f32 1/2 (/.f32 (/.f32 1/2 u2) (sqrt.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) 1/2) (/.f32 1/2 u2))
(/.f32 (*.f32 u2 1/2) (/.f32 1/2 (sqrt.f32 u1)))
(neg.f32 (*.f32 (sqrt.f32 u1) (neg.f32 u2)))
Outputs
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) 0)
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (-.f32 u2 u2))
(+.f32 u2 (-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) u2))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (*.f32 (sqrt.f32 u1) 0))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (*.f32 u2 (*.f32 (sqrt.f32 u1) 0)))
(*.f32 u2 (+.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 314159265359/50000000000 (sqrt.f32 u1))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (*.f32 0 (-.f32 (sqrt.f32 u1) u2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (/.f32 (-.f32 u2 u2) 50000000000/314159265359))
(/.f32 (-.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) u2) 50000000000/314159265359)
(/.f32 (+.f32 (*.f32 u2 (sqrt.f32 u1)) (-.f32 u2 u2)) 50000000000/314159265359)
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (*.f32 314159265359/50000000000 (*.f32 0 (-.f32 (sqrt.f32 u1) u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (*.f32 (*.f32 314159265359/50000000000 u2) 0))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (*.f32 0 (*.f32 314159265359/50000000000 u2)))
(*.f32 (*.f32 314159265359/50000000000 u2) (+.f32 0 (sqrt.f32 u1)))
(*.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (sqrt.f32 u1) 0))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (*.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) 0))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (/.f32 (*.f32 0 (-.f32 (sqrt.f32 u1) u2)) 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(+.f32 0 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)) (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/25000000000)))
(+.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) -314159265359/50000000000)) (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/25000000000)))
(*.f32 (sqrt.f32 u1) (+.f32 (*.f32 u2 -314159265359/50000000000) (*.f32 u2 314159265359/25000000000)))
(+.f32 (-.f32 u2 u2) (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))))
(+.f32 u2 (-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) u2))
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(-.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) 2) u2) (*.f32 (sqrt.f32 u1) (*.f32 u2 3)))
(-.f32 (*.f32 u2 (*.f32 2 (*.f32 (sqrt.f32 u1) 2))) (*.f32 u2 (*.f32 (sqrt.f32 u1) 3)))
(*.f32 u2 (-.f32 (*.f32 (sqrt.f32 u1) 4) (*.f32 (sqrt.f32 u1) 3)))
(-.f32 (*.f32 (*.f32 (+.f32 u2 u2) 2) (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) (*.f32 u2 3)))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2))) (neg.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 3))))
(*.f32 (sqrt.f32 u1) (-.f32 (*.f32 2 (+.f32 u2 u2)) (*.f32 u2 3)))
(-.f32 (*.f32 (-.f32 u2 u2) -1) (*.f32 (sqrt.f32 u1) (neg.f32 u2)))
(-.f32 (neg.f32 (-.f32 u2 u2)) (*.f32 (sqrt.f32 u1) (neg.f32 u2)))
(-.f32 (neg.f32 (-.f32 u2 u2)) (*.f32 u2 (neg.f32 (sqrt.f32 u1))))
(-.f32 (*.f32 (*.f32 (sqrt.f32 u1) 0) -1) (*.f32 (sqrt.f32 u1) (neg.f32 u2)))
(*.f32 u2 (sqrt.f32 u1))
(-.f32 (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 3)) 1/2) (*.f32 1/2 (*.f32 u2 (sqrt.f32 u1))))
(*.f32 1/2 (-.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 3)) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 1/2 (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 u2 3) u2)))
(-.f32 (+.f32 (*.f32 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)) 2) (*.f32 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)) 2)) (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 3)) (*.f32 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)) 2)))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2))) (neg.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 3))))
(*.f32 (sqrt.f32 u1) (-.f32 (*.f32 2 (+.f32 u2 u2)) (*.f32 u2 3)))
(/.f32 u2 (/.f32 1 (sqrt.f32 u1)))
(*.f32 u2 (sqrt.f32 u1))
(/.f32 u2 (neg.f32 (/.f32 -1 (sqrt.f32 u1))))
(*.f32 u2 (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (/.f32 1 u2))
(*.f32 u2 (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (neg.f32 (/.f32 -1 u2)))
(*.f32 u2 (sqrt.f32 u1))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) 1)
(*.f32 u2 (sqrt.f32 u1))
(/.f32 1 (/.f32 1 (*.f32 u2 (sqrt.f32 u1))))
(*.f32 u2 (sqrt.f32 u1))
(/.f32 -1 (-.f32 0 (/.f32 1 (*.f32 u2 (sqrt.f32 u1)))))
(*.f32 u2 (sqrt.f32 u1))
(/.f32 -1 (/.f32 1 (*.f32 (sqrt.f32 u1) (neg.f32 u2))))
(*.f32 u2 (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) (neg.f32 u2)) -1)
(*.f32 u2 (sqrt.f32 u1))
(/.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 -1 u2))
(*.f32 u2 (sqrt.f32 u1))
(/.f32 (neg.f32 u2) (/.f32 -1 (sqrt.f32 u1)))
(*.f32 u2 (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) 2) (/.f32 (/.f32 1 u2) 1/2))
(*.f32 u2 (sqrt.f32 u1))
(/.f32 (+.f32 u2 u2) (/.f32 (/.f32 1 (sqrt.f32 u1)) 1/2))
(*.f32 u2 (sqrt.f32 u1))
(/.f32 1/2 (/.f32 (/.f32 1/2 u2) (sqrt.f32 u1)))
(*.f32 u2 (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) 1/2) (/.f32 1/2 u2))
(*.f32 u2 (sqrt.f32 u1))
(/.f32 (*.f32 u2 1/2) (/.f32 1/2 (sqrt.f32 u1)))
(*.f32 u2 (sqrt.f32 u1))
(neg.f32 (*.f32 (sqrt.f32 u1) (neg.f32 u2)))
(*.f32 u2 (sqrt.f32 u1))

localize46.0ms (0.2%)

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))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
✓0.4b
(/.f32 (/.f32 1 u2) 314159265359/50000000000)
Compiler

Compiled 41 to 29 computations (29.3% saved)

series2.0ms (0%)

Counts
2 → 32
Calls

9 calls:

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

rewrite95.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1274×rational.json-simplify-6
1128×rational.json-simplify-5
912×rational.json-simplify-3
778×rational.json-1
778×rational.json-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01336
19536
238736
3206136
Stop Event
1×node limit
Counts
2 → 262
Calls
Call 1
Inputs
(/.f32 (/.f32 1 u2) 314159265359/50000000000)
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
Outputs
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u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 100000000000/314159265359 u2) (-.f32 (/.f32 100000000000/314159265359 u2) (-.f32 (/.f32 100000000000/314159265359 u2) (/.f32 -50000000000/314159265359 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 100000000000/314159265359 u2) (-.f32 (/.f32 -50000000000/314159265359 u2) (/.f32 0 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 100000000000/314159265359 u2) (*.f32 1 (/.f32 -50000000000/314159265359 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 100000000000/314159265359 u2) (*.f32 50000000000/314159265359 (/.f32 -1 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 0 u2) (/.f32 50000000000/314159265359 u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 1 u2) 25000000000/314159265359) (*.f32 (/.f32 1 u2) 25000000000/314159265359))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 1 u2) 25000000000/314159265359) (-.f32 (*.f32 (/.f32 1 u2) 25000000000/314159265359) (/.f32 0 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 1 u2) 25000000000/314159265359) (*.f32 1 (*.f32 (/.f32 1 u2) 25000000000/314159265359)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (/.f32 100000000000/314159265359 u2) (/.f32 100000000000/314159265359 u2)) (-.f32 0 (-.f32 (/.f32 100000000000/314159265359 u2) (/.f32 -50000000000/314159265359 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 50000000000/314159265359 u2) 1/2) (/.f32 25000000000/314159265359 u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 -1 u2) -50000000000/314159265359) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 50000000000/314159265359 u2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 50000000000/314159265359 u2) (/.f32 0 u2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 -50000000000/314159265359 u2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (-.f32 u2 u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 0 (/.f32 1 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 0 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 0 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 0 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simplify142.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1654×rational.json-simplify-1
878×rational.json-simplify-3
834×rational.json-simplify-12
578×rational.json-simplify-63
546×rational.json-simplify-2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05438452
116488092
272098092
Stop Event
1×node limit
Counts
294 → 294
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 (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/100000000000 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 -314159265359/100000000000 (/.f32 (*.f32 u2 (+.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 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/100000000000 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (*.f32 314159265359/100000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 314159265359/100000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)) (*.f32 942477796077/400000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2)))))
(+.f32 (*.f32 314159265359/160000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3))) (+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 314159265359/100000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)) (*.f32 942477796077/400000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (/.f32 50000000000/314159265359 u2) 0)
(+.f32 (/.f32 50000000000/314159265359 u2) (/.f32 0 u2))
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(-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 u2 314159265359/50000000000)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 u2 314159265359/50000000000))))
(-.f32 0 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -50000000000/314159265359 u2)))
(-.f32 (-.f32 u2 u2) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -50000000000/314159265359 u2)))
(-.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -50000000000/314159265359 u2)) (-.f32 0 (/.f32 2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -50000000000/314159265359 u2)) (-.f32 (-.f32 u2 u2) (/.f32 2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -50000000000/314159265359 u2)) (-.f32 0 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 u2 314159265359/50000000000))))
(-.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -50000000000/314159265359 u2)) (-.f32 (-.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 u2 314159265359/50000000000))))
(-.f32 (/.f32 2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (/.f32 0 (/.f32 1 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -50000000000/314159265359 u2)))
(-.f32 (/.f32 0 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -50000000000/314159265359 u2)))
(-.f32 (/.f32 0 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -50000000000/314159265359 u2)))
(-.f32 (/.f32 0 (/.f32 100000000000/314159265359 u2)) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -50000000000/314159265359 u2)))
(-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 u2 314159265359/50000000000)) (*.f32 u2 (*.f32 314159265359/50000000000 (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))) (/.f32 -50000000000/314159265359 u2)))
(-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 0) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -50000000000/314159265359 u2)))
(-.f32 (+.f32 (/.f32 2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (/.f32 2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (-.f32 (+.f32 (/.f32 2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (/.f32 2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (-.f32 (+.f32 (/.f32 2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 u2 314159265359/50000000000))))
(-.f32 (+.f32 (/.f32 0 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (-.f32 u2 u2)) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -50000000000/314159265359 u2)))
(-.f32 (+.f32 0 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 u2 314159265359/50000000000))) (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (+.f32 (-.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 u2 314159265359/50000000000))) (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (+.f32 (-.f32 u2 u2) (+.f32 (/.f32 2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (+.f32 (/.f32 0 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 u2 314159265359/50000000000))) (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (+.f32 (/.f32 0 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (/.f32 2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 1 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 50000000000/314159265359))
(*.f32 u2 (/.f32 1 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)
(*.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 2 (/.f32 1/2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 1/2 (/.f32 2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 1/2 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 u2 314159265359/50000000000)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 u2 314159265359/100000000000))
(*.f32 (*.f32 u2 314159265359/100000000000) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(*.f32 -1 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -50000000000/314159265359 u2)))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 314159265359/50000000000)
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -50000000000/314159265359 u2)) -1)
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 1/2)) 314159265359/25000000000)
(*.f32 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) u2)
(*.f32 (/.f32 2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1/2)
(*.f32 (+.f32 u2 u2) (/.f32 1/2 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 314159265359/25000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 1/2)))
(*.f32 (*.f32 u2 1/2) (/.f32 314159265359/25000000000 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (neg.f32 (*.f32 u2 314159265359/50000000000)) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (neg.f32 (*.f32 u2 314159265359/100000000000)) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(*.f32 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (neg.f32 (*.f32 u2 314159265359/100000000000)))
(*.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 u2 1/2))
(*.f32 (+.f32 (*.f32 u2 314159265359/50000000000) (*.f32 u2 314159265359/50000000000)) (/.f32 1/2 (/.f32 1 (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 1/2 (/.f32 100000000000/314159265359 u2)))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1/2 (/.f32 -50000000000/314159265359 u2)))
(*.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -50000000000/314159265359 u2)) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -50000000000/314159265359 u2))) -1/2)
(*.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 1/2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 1/2))) 314159265359/50000000000)
(neg.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -50000000000/314159265359 u2)))
(neg.f32 (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.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 (*.f32 (sqrt.f32 -1) u2))
(*.f32 (sqrt.f32 -1) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 -1)))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 314159265359/50000000000)) (/.f32 (*.f32 u2 -314159265359/100000000000) (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 -1))) (/.f32 u2 (/.f32 (*.f32 (sqrt.f32 -1) u1) -314159265359/100000000000)))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/100000000000 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 314159265359/50000000000)) (+.f32 (/.f32 (*.f32 u2 -314159265359/100000000000) (*.f32 (sqrt.f32 -1) u1)) (*.f32 -314159265359/100000000000 (*.f32 u2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 -1))) (*.f32 -314159265359/100000000000 (+.f32 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1)) (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 u2 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(+.f32 (*.f32 -314159265359/100000000000 (/.f32 (*.f32 u2 (+.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 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/100000000000 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 314159265359/50000000000)) (+.f32 (*.f32 -314159265359/100000000000 (*.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 u2 (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))))) (+.f32 (/.f32 (*.f32 u2 -314159265359/100000000000) (*.f32 (sqrt.f32 -1) u1)) (*.f32 -314159265359/100000000000 (*.f32 u2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))))
(+.f32 (*.f32 -314159265359/100000000000 (+.f32 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1)) (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 u2 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))) (+.f32 (/.f32 (+.f32 u2 (*.f32 u2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (pow.f32 (sqrt.f32 -1) 2) 1/2)))) (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)) -314159265359/100000000000)) (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 -1)))))
(+.f32 (*.f32 -314159265359/100000000000 (+.f32 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1)) (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 u2 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))) (+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 -1))) (/.f32 (+.f32 u2 (*.f32 u2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (pow.f32 (sqrt.f32 -1) 2) 1/2)))) (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)) -314159265359/100000000000))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2))
(*.f32 (sqrt.f32 -1) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 -1)))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (*.f32 314159265359/100000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 314159265359/50000000000)) (*.f32 314159265359/100000000000 (*.f32 u2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 -1))) (*.f32 314159265359/100000000000 (/.f32 u2 (/.f32 u1 (sqrt.f32 -1)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 314159265359/100000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)) (*.f32 942477796077/400000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2)))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 314159265359/50000000000)) (+.f32 (*.f32 314159265359/100000000000 (*.f32 u2 (/.f32 (sqrt.f32 -1) u1))) (/.f32 (*.f32 (*.f32 u2 (sqrt.f32 -1)) 942477796077/400000000000) (pow.f32 u1 2))))
(+.f32 (*.f32 314159265359/100000000000 (/.f32 u2 (/.f32 u1 (sqrt.f32 -1)))) (+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 -1))) (*.f32 942477796077/400000000000 (*.f32 u2 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 314159265359/160000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3))) (+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 314159265359/100000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)) (*.f32 942477796077/400000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 314159265359/50000000000)) (+.f32 (*.f32 314159265359/160000000000 (*.f32 u2 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 314159265359/100000000000 (*.f32 u2 (/.f32 (sqrt.f32 -1) u1))) (/.f32 (*.f32 (*.f32 u2 (sqrt.f32 -1)) 942477796077/400000000000) (pow.f32 u1 2)))))
(+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 -1))) (+.f32 (*.f32 942477796077/400000000000 (*.f32 u2 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (/.f32 (*.f32 u2 (sqrt.f32 -1)) (/.f32 (pow.f32 u1 3) 314159265359/160000000000)) (*.f32 314159265359/100000000000 (/.f32 u2 (/.f32 u1 (sqrt.f32 -1)))))))
(+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 -1))) (+.f32 (*.f32 942477796077/400000000000 (*.f32 u2 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 314159265359/100000000000 (/.f32 u2 (/.f32 u1 (sqrt.f32 -1)))) (/.f32 (*.f32 u2 (sqrt.f32 -1)) (/.f32 (pow.f32 u1 3) 314159265359/160000000000)))))
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(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (+.f32 (*.f32 u2 314159265359/50000000000) (*.f32 u2 314159265359/50000000000)) (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 314159265359/50000000000 (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 1/2 (/.f32 100000000000/314159265359 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 314159265359/50000000000 (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 -50000000000/314159265359 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -50000000000/314159265359 u2)) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -50000000000/314159265359 u2))) -1/2)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 1/2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 1/2))) 314159265359/50000000000)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(neg.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -50000000000/314159265359 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(neg.f32 (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 u2 314159265359/50000000000)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))

localize98.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiled 138 to 51 computations (63% saved)

series5.0ms (0%)

Counts
4 → 64
Calls

18 calls:

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

rewrite124.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1312×rational.json-simplify-13
986×rational.json-1
986×rational.json-2
986×rational.json-4
986×rational.json-3
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017198
111690
246090
3244290
Stop Event
1×node limit
Counts
4 → 333
Calls
Call 1
Inputs
(-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1))))))
(/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1))
(*.f32 u2 (sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1)))))
Outputs
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simplify158.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1078×rational.json-simplify-24
662×rational.json-simplify-41
648×rational.json-simplify-2
644×rational.json-simplify-1
626×rational.json-simplify-13
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074817307
1251315113
Stop Event
1×node limit
Counts
397 → 574
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 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 2 (/.f32 u1 (-.f32 1 u1))))))))
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(+.f32 (-.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 (/.f32 2 (/.f32 1/2 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)))) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (/.f32 (-.f32 1 u1) 2)))) (/.f32 (+.f32 (*.f32 (*.f32 (+.f32 u1 u1) 2) 2) (*.f32 (*.f32 (+.f32 u1 u1) 2) 2)) (-.f32 1 u1)))
(+.f32 (*.f32 (/.f32 1/2 (-.f32 1 u1)) (+.f32 u1 (*.f32 (+.f32 u1 u1) 2))) (*.f32 u1 (/.f32 1/2 (-.f32 1 u1))))
(+.f32 (*.f32 u1 (/.f32 1/2 (-.f32 1 u1))) (*.f32 (/.f32 1/2 (-.f32 1 u1)) (+.f32 u1 (*.f32 (+.f32 u1 u1) 2))))
(+.f32 (*.f32 (+.f32 u1 u1) (*.f32 (/.f32 1/2 (-.f32 1 u1)) 3/2)) (*.f32 (+.f32 u1 u1) (*.f32 (/.f32 1/2 (-.f32 1 u1)) 3/2)))
(+.f32 (*.f32 0 (/.f32 1/2 (+.f32 u1 -1))) (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) 3/2))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 1/2) (*.f32 1/2 (+.f32 (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) 3/2) (/.f32 (+.f32 u1 u1) (-.f32 1 u1)))))
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 1/2) (*.f32 1/2 (+.f32 (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) 2) (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 (*.f32 u1 1/2) (/.f32 1 (-.f32 1 u1))) (*.f32 (/.f32 1 (-.f32 1 u1)) (+.f32 u1 (*.f32 (+.f32 u1 u1) 3/4))))
(+.f32 (*.f32 (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) 3/2) 1/2) (*.f32 (+.f32 u1 u1) (*.f32 (/.f32 1/2 (-.f32 1 u1)) 3/2)))
(+.f32 (*.f32 0 (*.f32 (*.f32 (+.f32 u1 u1) 2) 3/2)) (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) 3/2))
(+.f32 (*.f32 (*.f32 (+.f32 u1 u1) 3/4) (/.f32 1 (-.f32 1 u1))) (*.f32 (+.f32 u1 u1) (*.f32 (/.f32 1/2 (-.f32 1 u1)) 3/2)))
(+.f32 (*.f32 (-.f32 (*.f32 u1 -2) u1) (/.f32 1/2 (+.f32 u1 -1))) (*.f32 (/.f32 1/2 (+.f32 u1 -1)) (-.f32 (*.f32 u1 -2) u1)))
(-.f32 (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) 2) (/.f32 u1 (-.f32 1 u1)))
(-.f32 (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) 3/2) 0)
(-.f32 (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) 3/2) (+.f32 u1 (neg.f32 u1)))
(-.f32 (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) 3/2) (/.f32 0 (-.f32 1 u1)))
(-.f32 (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) 3/2) (*.f32 (/.f32 1/2 (-.f32 1 u1)) (+.f32 u1 (neg.f32 u1))))
(-.f32 (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) 3/2) (neg.f32 (/.f32 0 (-.f32 1 u1))))
(-.f32 (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) 3/2) (*.f32 (/.f32 1/2 (+.f32 u1 -1)) 0))
(-.f32 0 (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) -3/2))
(-.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 2 (/.f32 u1 (+.f32 u1 -1))))
(-.f32 (/.f32 u1 (-.f32 1 u1)) (-.f32 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (/.f32 (-.f32 1 u1) 2)) (/.f32 2 (/.f32 1/2 (/.f32 (+.f32 u1 u1) (-.f32 1 u1))))))
(-.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) (/.f32 u1 (+.f32 u1 -1)))
(-.f32 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (/.f32 (-.f32 1 u1) 2)) (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) 3/2))
(-.f32 (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) -3/2) (*.f32 -1 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (/.f32 (-.f32 1 u1) 2))))
(-.f32 (/.f32 0 (-.f32 1 u1)) (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) -3/2))
(-.f32 (+.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) (/.f32 2 (/.f32 1/2 (/.f32 (+.f32 u1 u1) (-.f32 1 u1))))) (/.f32 (+.f32 u1 (*.f32 (*.f32 (+.f32 u1 u1) 2) 3/2)) (-.f32 1 u1)))
(-.f32 (+.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) (/.f32 (+.f32 (*.f32 (*.f32 (+.f32 u1 u1) 2) 2) (*.f32 (*.f32 (+.f32 u1 u1) 2) 2)) (-.f32 1 u1))) (/.f32 (+.f32 (*.f32 (*.f32 (+.f32 u1 u1) 2) 2) (+.f32 u1 (*.f32 (*.f32 (+.f32 u1 u1) 2) 3/2))) (-.f32 1 u1)))
(-.f32 (+.f32 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (/.f32 (-.f32 1 u1) 2)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (/.f32 (-.f32 1 u1) 2))) (+.f32 (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) 3/2) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (/.f32 (-.f32 1 u1) 2))))
(-.f32 (+.f32 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (/.f32 (-.f32 1 u1) 2)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (/.f32 (-.f32 1 u1) 2))) (*.f32 1 (+.f32 (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) 3/2) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (/.f32 (-.f32 1 u1) 2)))))
(-.f32 (*.f32 0 (neg.f32 (/.f32 1/2 (-.f32 1 u1)))) (*.f32 (neg.f32 (/.f32 1/2 (-.f32 1 u1))) (*.f32 (*.f32 (+.f32 u1 u1) 2) 3/2)))
(-.f32 (*.f32 (-.f32 (*.f32 u1 -2) u1) (/.f32 1/2 (+.f32 u1 -1))) (*.f32 (/.f32 1/2 (+.f32 u1 -1)) (+.f32 u1 (+.f32 u1 u1))))
(-.f32 (*.f32 (/.f32 0 (-.f32 1 u1)) -1) (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) -3/2))
(-.f32 (*.f32 (+.f32 u1 (*.f32 (+.f32 u1 u1) 2)) (/.f32 1 (-.f32 1 u1))) (/.f32 (+.f32 u1 u1) (-.f32 1 u1)))
(-.f32 (*.f32 (+.f32 (+.f32 u1 u1) (*.f32 (*.f32 (+.f32 u1 u1) 2) 2)) (/.f32 1/2 (-.f32 1 u1))) (/.f32 (+.f32 u1 u1) (-.f32 1 u1)))
(-.f32 (*.f32 (+.f32 (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) 3/2) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (/.f32 (-.f32 1 u1) 2))) 1/2) (*.f32 (+.f32 u1 u1) (*.f32 (/.f32 1/2 (-.f32 1 u1)) 3/2)))
(-.f32 (*.f32 (+.f32 (+.f32 u1 (+.f32 u1 u1)) (*.f32 (*.f32 (+.f32 u1 u1) 2) 3/2)) (/.f32 1/2 (-.f32 1 u1))) (*.f32 (+.f32 u1 u1) (*.f32 (/.f32 1/2 (-.f32 1 u1)) 3/2)))
(-.f32 (*.f32 (+.f32 (+.f32 u1 u1) (*.f32 (*.f32 (+.f32 u1 u1) 2) 2)) (/.f32 1 (-.f32 1 u1))) (/.f32 (+.f32 u1 (*.f32 (*.f32 (+.f32 u1 u1) 2) 3/2)) (-.f32 1 u1)))
(-.f32 (*.f32 (+.f32 (*.f32 (*.f32 (+.f32 u1 u1) 2) 3/2) (*.f32 (*.f32 (+.f32 u1 u1) 2) 3/2)) (/.f32 1 (-.f32 1 u1))) (*.f32 (/.f32 1 (-.f32 1 u1)) (+.f32 (+.f32 u1 (+.f32 u1 u1)) (*.f32 (*.f32 (+.f32 u1 u1) 2) 3/2))))
(-.f32 (*.f32 0 (*.f32 (+.f32 u1 (+.f32 u1 u1)) -2)) (*.f32 (*.f32 (+.f32 u1 (+.f32 u1 u1)) -2) (/.f32 1/2 (-.f32 1 u1))))
(*.f32 (+.f32 u1 u1) (*.f32 (/.f32 1 (-.f32 1 u1)) 3/2))
(*.f32 (*.f32 (+.f32 u1 u1) 2) (*.f32 (/.f32 1/2 (-.f32 1 u1)) 3/2))
(*.f32 1 (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) 3/2))
(*.f32 (+.f32 u1 (+.f32 u1 u1)) (/.f32 1 (-.f32 1 u1)))
(*.f32 (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) 3/2) 1)
(*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) 3/2)
(*.f32 (-.f32 (*.f32 u1 -2) u1) (/.f32 1 (+.f32 u1 -1)))
(*.f32 (-.f32 (*.f32 u1 -2) u1) (*.f32 (/.f32 1 (-.f32 1 u1)) -1))
(*.f32 2 (*.f32 (+.f32 u1 u1) (*.f32 (/.f32 1/2 (-.f32 1 u1)) 3/2)))
(*.f32 2 (*.f32 (*.f32 (*.f32 (+.f32 u1 u1) 2) 3/2) (/.f32 -1/2 (/.f32 (+.f32 u1 -1) 1/2))))
(*.f32 (*.f32 (*.f32 (+.f32 u1 u1) 2) 3/2) (/.f32 1/2 (-.f32 1 u1)))
(*.f32 1/2 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (/.f32 (-.f32 1 u1) 2)))
(*.f32 (/.f32 1/2 (-.f32 1 u1)) (*.f32 (*.f32 (+.f32 u1 u1) 2) 3/2))
(*.f32 (/.f32 1/2 (-.f32 1 u1)) (*.f32 1/2 (+.f32 (*.f32 (*.f32 (+.f32 u1 u1) 2) 3/2) (*.f32 (*.f32 (+.f32 u1 u1) 2) 3/2))))
(*.f32 (/.f32 1/2 (-.f32 1 u1)) (-.f32 (*.f32 (+.f32 u1 u1) 2) (-.f32 (+.f32 u1 (+.f32 u1 u1)) (+.f32 u1 (*.f32 (+.f32 u1 u1) 2)))))
(*.f32 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (/.f32 (-.f32 1 u1) 2)) 1/2)
(*.f32 (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) -3/2) -1)
(*.f32 -1 (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) -3/2))
(*.f32 -1 (*.f32 (*.f32 (*.f32 (+.f32 u1 u1) 2) 3/2) (/.f32 1/2 (+.f32 u1 -1))))
(*.f32 -1 (*.f32 (*.f32 (*.f32 (+.f32 u1 u1) 2) 3/2) (neg.f32 (/.f32 1/2 (-.f32 1 u1)))))
(*.f32 (/.f32 1 (-.f32 1 u1)) (+.f32 u1 (+.f32 u1 u1)))
(*.f32 -1/2 (*.f32 (*.f32 (*.f32 (+.f32 u1 u1) 2) 3/2) (/.f32 1 (+.f32 u1 -1))))
(*.f32 -1/2 (*.f32 (/.f32 1 (-.f32 1 u1)) (*.f32 (+.f32 u1 (+.f32 u1 u1)) -2)))
(*.f32 (/.f32 1/2 (+.f32 u1 -1)) (*.f32 (+.f32 u1 (+.f32 u1 u1)) -2))
(*.f32 (*.f32 (+.f32 u1 (+.f32 u1 u1)) -2) (/.f32 1/2 (+.f32 u1 -1)))
(*.f32 (*.f32 (+.f32 u1 (+.f32 u1 u1)) -2) (neg.f32 (/.f32 1/2 (-.f32 1 u1))))
(*.f32 (*.f32 (+.f32 u1 (+.f32 u1 u1)) -2) (*.f32 1 (neg.f32 (/.f32 1/2 (-.f32 1 u1)))))
(*.f32 (*.f32 (+.f32 u1 (+.f32 u1 u1)) -2) (*.f32 (/.f32 1 (-.f32 1 u1)) -1/2))
(*.f32 (neg.f32 (/.f32 1/2 (-.f32 1 u1))) (*.f32 (+.f32 u1 (+.f32 u1 u1)) -2))
(*.f32 (+.f32 (*.f32 (*.f32 (+.f32 u1 u1) 2) 3/2) (*.f32 (*.f32 (+.f32 u1 u1) 2) 3/2)) (/.f32 -1/2 (/.f32 (+.f32 u1 -1) 1/2)))
(*.f32 (+.f32 (*.f32 (*.f32 (+.f32 u1 u1) 2) 3/2) (*.f32 (*.f32 (+.f32 u1 u1) 2) 3/2)) (*.f32 1 (/.f32 -1/2 (/.f32 (+.f32 u1 -1) 1/2))))
(*.f32 (+.f32 (*.f32 (*.f32 (+.f32 u1 u1) 2) 3/2) (*.f32 (*.f32 (+.f32 u1 u1) 2) 3/2)) (*.f32 (/.f32 1/2 (-.f32 1 u1)) 1/2))
(*.f32 (+.f32 (*.f32 (*.f32 (+.f32 u1 u1) 2) 3/2) (*.f32 (*.f32 (+.f32 u1 u1) 2) 3/2)) (-.f32 (/.f32 1/2 (-.f32 1 u1)) (/.f32 -1/2 (/.f32 (+.f32 u1 -1) 1/2))))
(*.f32 (+.f32 (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) -3/2) (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) -3/2)) -1/2)
(neg.f32 (*.f32 (/.f32 (+.f32 u1 u1) (-.f32 1 u1)) -3/2))
(+.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 0)
(+.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 u2 u2))
(+.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))
(+.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)))
(+.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 0 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) u2)))
(+.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 0 (-.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 1 (*.f32 0 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) u2))))
(+.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 1 (*.f32 0 (-.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 0 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (-.f32 u2 u2) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 u2 u2)) (*.f32 u2 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 0 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) u2)) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 0 (-.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 u2 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 u2 u2)))
(+.f32 (*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2) (*.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 0)
(-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 u2 u2))
(-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))
(-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)))
(-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 0 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) u2)))
(-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 0 (-.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 0 (*.f32 u2 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (-.f32 u2 u2) (*.f32 u2 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 u2 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 u2 u2)) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (*.f32 u2 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 u2 u2)))
(-.f32 (*.f32 u2 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (neg.f32 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(-.f32 (*.f32 u2 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 u2 u2))))
(-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 u2 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 u2 u2))) (+.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 u2 u2))))
(-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 u2 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 u2 u2))) (*.f32 1 (+.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 u2 u2)))))
(-.f32 (*.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) u2) (*.f32 u2 (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))
(-.f32 (*.f32 (+.f32 (+.f32 u2 u2) (+.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 u2 (+.f32 u2 u2))))
(-.f32 (*.f32 (+.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 u2 u2))) 1/2) (*.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (*.f32 (-.f32 u2 u2) -1) (*.f32 u2 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) -1) (*.f32 u2 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 1 (/.f32 1 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 u2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 u2))
(/.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(/.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 u2 u2))))
(/.f32 1/2 (/.f32 (/.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) u2))
(/.f32 1/2 (/.f32 (/.f32 1 (+.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 -1 (/.f32 1 (*.f32 u2 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -1 u2))
(/.f32 (neg.f32 u2) (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (/.f32 (/.f32 1 u2) 1/2))
(/.f32 (+.f32 u2 u2) (/.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2))
(/.f32 (*.f32 u2 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) -1)
(neg.f32 (*.f32 u2 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
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))
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(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 u2))

localize94.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiled 57 to 43 computations (24.6% saved)

series2.0ms (0%)

Counts
4 → 56
Calls

15 calls:

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

rewrite138.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1278×rational.json-simplify-6
1098×rational.json-simplify-21
1028×rational.json-simplify-5
992×rational.json-simplify-24
924×rational.json-simplify-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01568
19968
234168
3170868
Stop Event
1×node limit
Counts
4 → 375
Calls
Call 1
Inputs
(*.f32 u2 314159265359/50000000000)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000)))
(/.f32 1 (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.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))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) (neg.f32 (*.f32 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simplify167.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1400×rational.json-simplify-3
1314×rational.json-simplify-2
1054×rational.json-simplify-12
908×rational.json-simplify-5
874×rational.json-simplify-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077215659
1265914361
Stop Event
1×node limit
Counts
431 → 480
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) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.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 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
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(+.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (-.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1/2) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1/2)))
(+.f32 0 (sin.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1/2) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1/2))
(+.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(+.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (-.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))))
(+.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (-.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (-.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(+.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(+.f32 (-.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sin.f32 (*.f32 u2 314159265359/50000000000))) (sin.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (+.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) (-.f32 0 (+.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))))
(-.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 0)
(-.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (-.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sin.f32 (*.f32 u2 314159265359/50000000000))))
(-.f32 0 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(-.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1/2) (/.f32 (/.f32 1 (neg.f32 (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000))))) 2))
(-.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (sin.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) -1/2))
(-.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (/.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) -1))
(-.f32 (-.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sin.f32 (*.f32 u2 314159265359/50000000000))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(-.f32 (+.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) (+.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(-.f32 (+.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(-.f32 (+.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) (-.f32 (+.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(-.f32 (+.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1/2) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1/2))
(-.f32 (/.f32 (+.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) 2) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1/2))
(-.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) 1/2) 2) (sin.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1)
(*.f32 2 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1/2))
(*.f32 1/2 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(*.f32 1/2 (/.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1/2) 1/4))
(*.f32 1/2 (*.f32 1 (/.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1/2) 1/4)))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1/2) 2)
(*.f32 -1 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(*.f32 -1 (*.f32 2 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) -2)))
(*.f32 -1 (*.f32 2 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) -1/2)))
(*.f32 -1 (*.f32 2 (/.f32 1/2 (neg.f32 (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000)))))))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) 1/2)
(*.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) -1)
(*.f32 1/4 (*.f32 2 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(*.f32 1/4 (*.f32 2 (/.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1/2) 1/4)))
(*.f32 -1/2 (*.f32 2 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(*.f32 4 (/.f32 1/2 (/.f32 2 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(*.f32 4 (*.f32 1 (/.f32 1/2 (/.f32 2 (sin.f32 (*.f32 u2 314159265359/50000000000))))))
(*.f32 -2 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) -2))
(*.f32 -2 (/.f32 1/2 (neg.f32 (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000))))))
(*.f32 -2 (*.f32 1 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) -2)))
(*.f32 -2 (*.f32 1 (/.f32 1/2 (neg.f32 (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000)))))))
(*.f32 (-.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (sin.f32 (*.f32 u2 314159265359/50000000000))) -1/2)
(neg.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(sin.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 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.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)) (sin.f32 (*.f32 314159265359/50000000000 u2))))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (/.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.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 (sqrt.f32 -1) (sin.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)) (sin.f32 (*.f32 314159265359/50000000000 u2))))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (+.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)) (sin.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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))) (*.f32 3/8 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))) (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 (pow.f32 u1 2) 3/8))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 3/8 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 5/16 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (+.f32 (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))) (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 (pow.f32 u1 2) 3/8))) (*.f32 5/16 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3))))
(+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3))) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5)))))
(+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3))) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3))) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5)))) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 7)))))
(+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3))) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5)))) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 7)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
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(+.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (-.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))))
(+.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(-.f32 (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (-.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (-.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(+.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(-.f32 (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(+.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(-.f32 (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (-.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sin.f32 (*.f32 u2 314159265359/50000000000))) (sin.f32 (*.f32 u2 314159265359/50000000000)))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(+.f32 (+.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) (-.f32 0 (+.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))))
(+.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(-.f32 (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(-.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 0)
(sin.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (-.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sin.f32 (*.f32 u2 314159265359/50000000000))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 0 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1/2) (/.f32 (/.f32 1 (neg.f32 (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000))))) 2))
(-.f32 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 1/2 (neg.f32 (/.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(-.f32 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) -2))
(-.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (sin.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(-.f32 (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(-.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) -1/2))
(-.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) -1/2))
(-.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (/.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) -1))
(-.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 2 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (-.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sin.f32 (*.f32 u2 314159265359/50000000000))) (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (+.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) (+.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(+.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(-.f32 (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(-.f32 (+.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (-.f32 (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (+.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) (-.f32 (+.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(-.f32 (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (-.f32 (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(-.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (-.f32 (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (+.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1/2) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1/2))
(+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (-.f32 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (/.f32 (+.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) 2) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1/2))
(-.f32 (/.f32 (+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2) (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(-.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) 1/2) 2) (sin.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (/.f32 (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000)))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1)
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 2 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1/2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 1/2 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 1/2 (/.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1/2) 1/4))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 1/2 (*.f32 1 (/.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1/2) 1/4)))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1/2) 2)
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 -1 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 -1 (*.f32 2 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) -2)))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 -1 (*.f32 2 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) -1/2)))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 -1 (*.f32 2 (/.f32 1/2 (neg.f32 (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000)))))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) 1/2)
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) -1)
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 1/4 (*.f32 2 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(*.f32 1/4 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 4))
(*.f32 1/4 (*.f32 2 (/.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1/2) 1/4)))
(*.f32 1/4 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1/4))
(*.f32 -1/2 (*.f32 2 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(*.f32 2 (*.f32 -1/2 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 -1/2 (neg.f32 (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 4 (/.f32 1/2 (/.f32 2 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 4 (*.f32 1 (/.f32 1/2 (/.f32 2 (sin.f32 (*.f32 u2 314159265359/50000000000))))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 -2 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) -2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 -2 (/.f32 1/2 (neg.f32 (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000))))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 -2 (*.f32 1 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) -2)))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 -2 (*.f32 1 (/.f32 1/2 (neg.f32 (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000)))))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 (-.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (sin.f32 (*.f32 u2 314159265359/50000000000))) -1/2)
(*.f32 -1/2 (-.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(neg.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(sin.f32 (*.f32 314159265359/50000000000 u2))

eval1.0s (5.3%)

Compiler

Compiled 48596 to 34555 computations (28.9% saved)

prune871.0ms (4.5%)

Pruning

74 alts after pruning (68 fresh and 6 done)

PrunedKeptTotal
New2048432091
Fresh122537
Picked011
Done257
Total2062742136
Error
0.1b
Counts
2136 → 74
Alt Table
Click to see full alt table
StatusErrorProgram
11.3b
(/.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) 50000000000/314159265359) (/.f32 -1 u2))
11.3b
(/.f32 (/.f32 (neg.f32 u2) 50000000000/314159265359) (/.f32 -1 (sqrt.f32 u1)))
6.0b
(/.f32 (/.f32 1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
0.8b
(/.f32 (-.f32 (+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (sin.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
11.3b
(/.f32 (-.f32 (*.f32 u2 3) (*.f32 2 (+.f32 u2 u2))) (/.f32 -50000000000/314159265359 (sqrt.f32 u1)))
11.3b
(/.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) (/.f32 -1 u2))
11.3b
(/.f32 (*.f32 u2 (sqrt.f32 u1)) 50000000000/314159265359)
11.3b
(/.f32 (*.f32 u2 -314159265359/50000000000) (/.f32 -1 (sqrt.f32 u1)))
5.9b
(/.f32 (*.f32 314159265359/50000000000 u2) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
✓5.9b
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
5.9b
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (*.f32 314159265359/50000000000 u2)))
0.6b
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000))))
6.1b
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (-.f32 (/.f32 100000000000/314159265359 u2) (/.f32 -50000000000/314159265359 u2)) (/.f32 100000000000/314159265359 u2)))
6.0b
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (/.f32 100000000000/314159265359 u2) (*.f32 50000000000/314159265359 (/.f32 -1 u2))))
▶6.1b
(/.f32 (sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1)))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
11.3b
(/.f32 (sqrt.f32 u1) (/.f32 1 (*.f32 314159265359/50000000000 u2)))
11.3b
(/.f32 (sqrt.f32 u1) (*.f32 (/.f32 1 u2) 50000000000/314159265359))
0.5b
(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
11.3b
(/.f32 (neg.f32 u2) (/.f32 (/.f32 -1 (sqrt.f32 u1)) 314159265359/50000000000))
11.3b
(/.f32 (neg.f32 u2) (/.f32 -1 (*.f32 314159265359/50000000000 (sqrt.f32 u1))))
6.0b
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
▶11.3b
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 u1)))
6.0b
(/.f32 314159265359/50000000000 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
11.3b
(/.f32 314159265359/50000000000 (/.f32 1 (*.f32 u2 (sqrt.f32 u1))))
11.3b
(/.f32 314159265359/100000000000 (/.f32 (/.f32 1/2 u2) (sqrt.f32 u1)))
11.3b
(/.f32 1 (/.f32 50000000000/314159265359 (*.f32 u2 (sqrt.f32 u1))))
11.3b
(/.f32 1/2 (/.f32 (/.f32 (/.f32 1/2 u2) (sqrt.f32 u1)) 314159265359/50000000000))
5.9b
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 314159265359/50000000000 u2)))
1.0b
(/.f32 1/2 (/.f32 (/.f32 1/2 (sin.f32 (-.f32 (+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 314159265359/25000000000)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 u2 314159265359/25000000000))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
3.8b
(/.f32 1/2 (/.f32 (+.f32 (*.f32 u2 314159265359/600000000000) (/.f32 25000000000/314159265359 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
3.9b
(/.f32 1/2 (/.f32 (+.f32 (*.f32 314159265359/600000000000 u2) (*.f32 25000000000/314159265359 (/.f32 1 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
5.9b
(/.f32 1/2 (/.f32 1 (*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 314159265359/25000000000)))
0.7b
(/.f32 1/2 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 1/2 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
6.0b
(/.f32 1/2 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 25000000000/314159265359 u2)))
6.1b
(/.f32 1/2 (*.f32 25000000000/314159265359 (*.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
1.3b
(-.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))
8.3b
(+.f32 u2 (-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) u2))
13.2b
(+.f32 u2 (-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) u2))
5.9b
(*.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
5.9b
(*.f32 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) u2)
✓0.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
6.0b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (/.f32 50000000000/314159265359 u2)))
3.9b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 (*.f32 u2 314159265359/300000000000) (/.f32 50000000000/314159265359 u2))))
3.9b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 (*.f32 314159265359/300000000000 u2) (*.f32 50000000000/314159265359 (/.f32 1 u2)))))
0.9b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 4) (*.f32 3 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
0.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (/.f32 u2 50000000000/314159265359)))
✓0.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
0.7b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (/.f32 1 (/.f32 50000000000/314159265359 u2))))
▶0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359))))
0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (/.f32 1 (/.f32 -50000000000/264159265359 u2)))))
1.0b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (+.f32 (*.f32 u2 942477796077/50000000000) (*.f32 u2 -314159265359/25000000000))))
1.8b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (+.f32 (*.f32 u2 -314159265359/12500000000) (*.f32 u2 314159265359/10000000000))))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.9b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 -1/2 (-.f32 (*.f32 u2 942477796077/50000000000) (*.f32 u2 314159265359/10000000000)))))
0.8b
(*.f32 (sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.6b
(*.f32 (sqrt.f32 (-.f32 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (+.f32 2 (/.f32 u1 -1/2))) (/.f32 u1 (/.f32 (-.f32 1 u1) 1/2)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
6.0b
(*.f32 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (*.f32 (/.f32 u1 (+.f32 u1 -1)) -3))) (*.f32 314159265359/50000000000 u2))
7.8b
(*.f32 (sqrt.f32 u1) (sin.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
7.8b
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
6.0b
(*.f32 u2 (/.f32 1 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
11.3b
(*.f32 314159265359/50000000000 (/.f32 (sqrt.f32 u1) (/.f32 1 u2)))
11.3b
(*.f32 314159265359/50000000000 (/.f32 u2 (/.f32 1 (sqrt.f32 u1))))
6.0b
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 1 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
11.3b
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 1 (*.f32 u2 (sqrt.f32 u1)))))
▶14.1b
(*.f32 314159265359/50000000000 (-.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) u2))
▶9.6b
(*.f32 314159265359/50000000000 (-.f32 u2 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
11.3b
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 u2 3) (+.f32 u2 u2))))
11.4b
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 2 (+.f32 u2 u2)) (*.f32 u2 3))))
6.1b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (-.f32 (+.f32 u1 (*.f32 (+.f32 u1 u1) 2)) (*.f32 (+.f32 u1 u1) 2)) (-.f32 1 u1)))))
✓5.9b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
5.9b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1)))))
✓11.3b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
0.9b
(*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (-.f32 (*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
11.3b
(neg.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)))
Compiler

Compiled 2341 to 1834 computations (21.7% saved)

localize51.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f32 u1 (-.f32 1 u1))
✓0.2b
(-.f32 u2 (/.f32 u2 -50000000000/264159265359))
✓0.2b
(sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359)))
✓0.3b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359))))
Compiler

Compiled 48 to 32 computations (33.3% saved)

series1.0ms (0%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
0.0ms
u1
@0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359))))
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359))))
0.0ms
u2
@0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359))))
0.0ms
u1
@-inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359))))
0.0ms
u2
@-inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359))))

rewrite72.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1214×rational.json-simplify-3
1066×rational.json-simplify-12
764×rational.json-simplify-2
764×rational.json-simplify-21
612×rational.json-1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01469
18969
229669
3137851
Stop Event
1×node limit
Counts
3 → 204
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359))))
(sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359)))
(-.f32 u2 (/.f32 u2 -50000000000/264159265359))
Outputs
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simplify131.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
634×rational.json-simplify-1
580×rational.json-simplify-2
546×rational.json-simplify-63
536×rational.json-simplify-3
514×rational.json-simplify-12
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04926820
116756674
273976606
Stop Event
1×node limit
Counts
248 → 290
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))))
(+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))))
(+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (+.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) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
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(+.f32 (+.f32 u2 (-.f32 (+.f32 u2 u2) (/.f32 u2 50000000000/264159265359))) (-.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (+.f32 (+.f32 u2 u2) (+.f32 u2 u2))))
(+.f32 (-.f32 (/.f32 u2 50000000000/264159265359) u2) (+.f32 u2 u2))
(+.f32 (neg.f32 (+.f32 u2 (-.f32 (+.f32 u2 u2) (/.f32 u2 50000000000/264159265359)))) (+.f32 (+.f32 u2 u2) (+.f32 u2 u2)))
(+.f32 (-.f32 (*.f32 (*.f32 u2 -264159265359/50000000000) 2) u2) (-.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (*.f32 u2 -264159265359/50000000000)))
(+.f32 (*.f32 (+.f32 u2 u2) 364159265359/100000000000) (neg.f32 u2))
(+.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 0) (*.f32 u2 314159265359/50000000000))
(+.f32 (+.f32 (*.f32 u2 -264159265359/50000000000) (-.f32 (+.f32 u2 u2) (/.f32 u2 50000000000/264159265359))) (-.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (+.f32 u2 (-.f32 (+.f32 u2 u2) (/.f32 u2 50000000000/264159265359)))))
(+.f32 (+.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (*.f32 (*.f32 u2 314159265359/50000000000) 2)) (-.f32 0 (+.f32 (*.f32 u2 314159265359/50000000000) (*.f32 (*.f32 u2 314159265359/50000000000) 2))))
(+.f32 (+.f32 (+.f32 u2 u2) (+.f32 (+.f32 (+.f32 u2 u2) (+.f32 u2 u2)) (+.f32 u2 u2))) (-.f32 0 (+.f32 u2 (+.f32 (+.f32 (+.f32 u2 u2) (+.f32 u2 u2)) (-.f32 (+.f32 u2 u2) (/.f32 u2 50000000000/264159265359))))))
(+.f32 (*.f32 u2 1/2) (*.f32 1/2 (+.f32 (*.f32 u2 314159265359/50000000000) (/.f32 u2 50000000000/264159265359))))
(+.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 1/2) (*.f32 1/2 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (+.f32 u2 (*.f32 u2 -264159265359/50000000000)) -1) (*.f32 -1 (-.f32 (neg.f32 u2) u2)))
(*.f32 1 (*.f32 u2 314159265359/50000000000))
(*.f32 u2 314159265359/50000000000)
(*.f32 (*.f32 u2 314159265359/50000000000) 1)
(*.f32 (+.f32 u2 u2) 314159265359/100000000000)
(*.f32 1/2 (*.f32 (*.f32 u2 314159265359/50000000000) 2))
(*.f32 1/2 (-.f32 (+.f32 u2 u2) (*.f32 (*.f32 u2 -264159265359/50000000000) 2)))
(*.f32 -1 (neg.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (neg.f32 (*.f32 u2 314159265359/50000000000)) -1)
(*.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) 1/2)
(*.f32 (-.f32 (neg.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 u2 314159265359/50000000000)) -1/2)
(/.f32 1 (/.f32 1 (*.f32 u2 314159265359/50000000000)))
(/.f32 (*.f32 u2 314159265359/50000000000) 1)
(/.f32 1/2 (/.f32 1 (*.f32 (*.f32 u2 314159265359/50000000000) 2)))
(/.f32 1/2 (/.f32 -1 (-.f32 (neg.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 u2 314159265359/50000000000))))
(/.f32 -1 (/.f32 1 (neg.f32 (*.f32 u2 314159265359/50000000000))))
(/.f32 -1 (/.f32 -1 (*.f32 u2 314159265359/50000000000)))
(/.f32 (neg.f32 (*.f32 u2 314159265359/50000000000)) -1)
(/.f32 (-.f32 (+.f32 u2 (-.f32 (+.f32 u2 u2) (/.f32 u2 50000000000/264159265359))) (+.f32 (*.f32 u2 -264159265359/50000000000) (-.f32 (+.f32 u2 u2) (/.f32 u2 50000000000/264159265359)))) 1)
(/.f32 (-.f32 (-.f32 u2 (*.f32 (*.f32 u2 314159265359/50000000000) 2)) (*.f32 u2 -264159265359/50000000000)) -1)
(/.f32 (-.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 0) (*.f32 u2 314159265359/50000000000)) -1)
(/.f32 (-.f32 (-.f32 u2 (+.f32 (*.f32 u2 314159265359/50000000000) (/.f32 u2 50000000000/264159265359))) (+.f32 u2 (*.f32 u2 -264159265359/50000000000))) -1)
(/.f32 (-.f32 (neg.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2)) (neg.f32 (*.f32 u2 314159265359/50000000000))) -1)
(/.f32 (-.f32 (-.f32 (+.f32 u2 u2) (-.f32 (*.f32 u2 314159265359/50000000000) (+.f32 u2 (*.f32 u2 -264159265359/50000000000)))) (+.f32 u2 (-.f32 (+.f32 u2 u2) (/.f32 u2 50000000000/264159265359)))) -1)
(/.f32 (-.f32 (+.f32 (*.f32 u2 314159265359/50000000000) (*.f32 (*.f32 u2 314159265359/50000000000) 2)) (+.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (*.f32 (*.f32 u2 314159265359/50000000000) 2))) -1)
(/.f32 (-.f32 (+.f32 u2 (+.f32 (+.f32 (+.f32 u2 u2) (+.f32 u2 u2)) (-.f32 (+.f32 u2 u2) (/.f32 u2 50000000000/264159265359)))) (+.f32 (+.f32 u2 u2) (+.f32 (+.f32 (+.f32 u2 u2) (+.f32 u2 u2)) (+.f32 u2 u2)))) -1)
(/.f32 (-.f32 (-.f32 (neg.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 u2 314159265359/50000000000)) (neg.f32 (*.f32 u2 314159265359/50000000000))) -1)
(neg.f32 (neg.f32 (*.f32 u2 314159265359/50000000000)))
Outputs
(*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))))
(*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))))
(+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000)))) (/.f32 (*.f32 (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))) -1/2) (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000)))) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000)))))))
(+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000)))) (+.f32 (/.f32 (*.f32 (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))) -1/2) (*.f32 (sqrt.f32 -1) u1)) (*.f32 -1/2 (*.f32 (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000)))) (*.f32 -1/2 (+.f32 (/.f32 (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))) (*.f32 (sqrt.f32 -1) u1)) (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (+.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) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000)))) (+.f32 (/.f32 (*.f32 (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))) -1/2) (*.f32 (sqrt.f32 -1) u1)) (+.f32 (*.f32 -1/2 (*.f32 (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))) (/.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (*.f32 (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))) (+.f32 1 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) 1/2) (pow.f32 (sqrt.f32 -1) 2)))))))))
(+.f32 (*.f32 -1/2 (+.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 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 (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000)))) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))))))))
(*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2))))
(*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) u1)) (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000)))) (*.f32 1/2 (*.f32 (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))) (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000)))) (*.f32 (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) u1)) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (pow.f32 u1 2)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000)))) (+.f32 (*.f32 1/2 (*.f32 (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))) (/.f32 (sqrt.f32 -1) u1))) (/.f32 3/8 (/.f32 (pow.f32 u1 2) (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000)))) (+.f32 (*.f32 (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) (*.f32 (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))) (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) u1)) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (pow.f32 u1 3))) (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 -264159265359/50000000000 u2)))) (pow.f32 u1 2))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000)))) (+.f32 (*.f32 1/2 (*.f32 (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))) (/.f32 (sqrt.f32 -1) u1))) (+.f32 (/.f32 3/8 (/.f32 (pow.f32 u1 2) (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000)))))) (*.f32 5/16 (*.f32 (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))) (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000)))) (+.f32 (*.f32 (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))) (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (*.f32 (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))) (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3))) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5)))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000)) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 7))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000)) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (sin.f32 (neg.f32 (*.f32 -314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (sin.f32 (neg.f32 (*.f32 -314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))
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(*.f32 u2 314159265359/50000000000)
(*.f32 u2 314159265359/50000000000)
(*.f32 (*.f32 u2 314159265359/50000000000) 1)
(*.f32 u2 314159265359/50000000000)
(*.f32 (+.f32 u2 u2) 314159265359/100000000000)
(*.f32 u2 314159265359/50000000000)
(*.f32 1/2 (*.f32 (*.f32 u2 314159265359/50000000000) 2))
(*.f32 u2 314159265359/50000000000)
(*.f32 1/2 (-.f32 (+.f32 u2 u2) (*.f32 (*.f32 u2 -264159265359/50000000000) 2)))
(*.f32 -1/2 (-.f32 (*.f32 2 (*.f32 u2 -264159265359/50000000000)) (+.f32 u2 u2)))
(-.f32 u2 (*.f32 1/2 (*.f32 u2 -264159265359/25000000000)))
(-.f32 u2 (*.f32 u2 -264159265359/50000000000))
(*.f32 -1 (neg.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 u2 314159265359/50000000000)
(*.f32 (neg.f32 (*.f32 u2 314159265359/50000000000)) -1)
(*.f32 u2 314159265359/50000000000)
(*.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) 1/2)
(*.f32 u2 314159265359/50000000000)
(*.f32 (-.f32 (neg.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 u2 314159265359/50000000000)) -1/2)
(*.f32 u2 314159265359/50000000000)
(/.f32 1 (/.f32 1 (*.f32 u2 314159265359/50000000000)))
(*.f32 u2 314159265359/50000000000)
(/.f32 (*.f32 u2 314159265359/50000000000) 1)
(*.f32 u2 314159265359/50000000000)
(/.f32 1/2 (/.f32 1 (*.f32 (*.f32 u2 314159265359/50000000000) 2)))
(*.f32 u2 314159265359/50000000000)
(/.f32 1/2 (/.f32 -1 (-.f32 (neg.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 u2 314159265359/50000000000))))
(*.f32 u2 314159265359/50000000000)
(/.f32 -1 (/.f32 1 (neg.f32 (*.f32 u2 314159265359/50000000000))))
(*.f32 u2 314159265359/50000000000)
(/.f32 -1 (/.f32 -1 (*.f32 u2 314159265359/50000000000)))
(*.f32 u2 314159265359/50000000000)
(/.f32 (neg.f32 (*.f32 u2 314159265359/50000000000)) -1)
(*.f32 u2 314159265359/50000000000)
(/.f32 (-.f32 (+.f32 u2 (-.f32 (+.f32 u2 u2) (/.f32 u2 50000000000/264159265359))) (+.f32 (*.f32 u2 -264159265359/50000000000) (-.f32 (+.f32 u2 u2) (/.f32 u2 50000000000/264159265359)))) 1)
(+.f32 u2 (-.f32 (+.f32 u2 (-.f32 u2 (/.f32 u2 50000000000/264159265359))) (+.f32 (+.f32 u2 u2) (-.f32 (*.f32 u2 -264159265359/50000000000) (/.f32 u2 50000000000/264159265359)))))
(+.f32 u2 (-.f32 (-.f32 u2 (+.f32 (*.f32 u2 -264159265359/50000000000) (-.f32 u2 (/.f32 u2 50000000000/264159265359)))) (/.f32 u2 50000000000/264159265359)))
(/.f32 (-.f32 (-.f32 u2 (*.f32 (*.f32 u2 314159265359/50000000000) 2)) (*.f32 u2 -264159265359/50000000000)) -1)
(*.f32 u2 314159265359/50000000000)
(/.f32 (-.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 0) (*.f32 u2 314159265359/50000000000)) -1)
(*.f32 u2 314159265359/50000000000)
(/.f32 (-.f32 (-.f32 u2 (+.f32 (*.f32 u2 314159265359/50000000000) (/.f32 u2 50000000000/264159265359))) (+.f32 u2 (*.f32 u2 -264159265359/50000000000))) -1)
(+.f32 (+.f32 u2 (*.f32 u2 -264159265359/50000000000)) (neg.f32 (-.f32 u2 (+.f32 (*.f32 u2 314159265359/50000000000) (/.f32 u2 50000000000/264159265359)))))
(-.f32 (+.f32 u2 (*.f32 u2 -264159265359/50000000000)) (-.f32 u2 (+.f32 (*.f32 u2 314159265359/50000000000) (/.f32 u2 50000000000/264159265359))))
(+.f32 (+.f32 u2 (*.f32 u2 -264159265359/50000000000)) (+.f32 (*.f32 u2 314159265359/50000000000) (-.f32 (/.f32 u2 50000000000/264159265359) u2)))
(/.f32 (-.f32 (neg.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2)) (neg.f32 (*.f32 u2 314159265359/50000000000))) -1)
(*.f32 u2 314159265359/50000000000)
(/.f32 (-.f32 (-.f32 (+.f32 u2 u2) (-.f32 (*.f32 u2 314159265359/50000000000) (+.f32 u2 (*.f32 u2 -264159265359/50000000000)))) (+.f32 u2 (-.f32 (+.f32 u2 u2) (/.f32 u2 50000000000/264159265359)))) -1)
(+.f32 (+.f32 u2 (+.f32 u2 (-.f32 u2 (/.f32 u2 50000000000/264159265359)))) (neg.f32 (-.f32 (+.f32 u2 (*.f32 u2 -264159265359/50000000000)) (-.f32 (*.f32 u2 314159265359/50000000000) (+.f32 u2 u2)))))
(-.f32 (-.f32 (-.f32 (*.f32 u2 314159265359/50000000000) (*.f32 u2 -264159265359/50000000000)) u2) (-.f32 u2 (+.f32 u2 (-.f32 u2 (/.f32 u2 50000000000/264159265359)))))
(-.f32 (-.f32 (-.f32 (*.f32 u2 314159265359/50000000000) (*.f32 u2 -264159265359/50000000000)) u2) (-.f32 (/.f32 u2 50000000000/264159265359) u2))
(/.f32 (-.f32 (+.f32 (*.f32 u2 314159265359/50000000000) (*.f32 (*.f32 u2 314159265359/50000000000) 2)) (+.f32 (*.f32 (*.f32 u2 314159265359/50000000000) 2) (*.f32 (*.f32 u2 314159265359/50000000000) 2))) -1)
(*.f32 u2 314159265359/50000000000)
(/.f32 (-.f32 (+.f32 u2 (+.f32 (+.f32 (+.f32 u2 u2) (+.f32 u2 u2)) (-.f32 (+.f32 u2 u2) (/.f32 u2 50000000000/264159265359)))) (+.f32 (+.f32 u2 u2) (+.f32 (+.f32 (+.f32 u2 u2) (+.f32 u2 u2)) (+.f32 u2 u2)))) -1)
(+.f32 u2 (/.f32 u2 50000000000/264159265359))
(/.f32 (-.f32 (-.f32 (neg.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 u2 314159265359/50000000000)) (neg.f32 (*.f32 u2 314159265359/50000000000))) -1)
(*.f32 u2 314159265359/50000000000)
(neg.f32 (neg.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 u2 314159265359/50000000000)

localize22.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 u1)))
✓0.5b
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
Compiler

Compiled 18 to 10 computations (44.4% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

9 calls:

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

rewrite64.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
960×rational.json-simplify-13
710×rational.json-simplify-43
650×rational.json-simplify-14
638×rational.json-simplify-5
582×rational.json-simplify-24
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
15928
222528
3114928
Stop Event
1×node limit
Counts
2 → 185
Calls
Call 1
Inputs
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 u1)))
Outputs
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simplify103.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1388×rational.json-simplify-37
984×rational.json-simplify-1
832×rational.json-simplify-33
586×rational.json-simplify-24
510×rational.json-simplify-50
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03544097
111384035
255254035
Stop Event
1×node limit
Counts
197 → 227
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(+.f32 (/.f32 50000000000/314159265359 (sqrt.f32 u1)) 0)
(+.f32 (/.f32 50000000000/314159265359 (sqrt.f32 u1)) (/.f32 0 (sqrt.f32 u1)))
(+.f32 0 (/.f32 50000000000/314159265359 (sqrt.f32 u1)))
(+.f32 (/.f32 -50000000000/314159265359 (sqrt.f32 u1)) (/.f32 100000000000/314159265359 (sqrt.f32 u1)))
(+.f32 (/.f32 100000000000/314159265359 (sqrt.f32 u1)) (/.f32 -50000000000/314159265359 (sqrt.f32 u1)))
(+.f32 (/.f32 0 (sqrt.f32 u1)) (/.f32 50000000000/314159265359 (sqrt.f32 u1)))
(+.f32 (/.f32 200000000000/314159265359 (sqrt.f32 u1)) (-.f32 0 (/.f32 150000000000/314159265359 (sqrt.f32 u1))))
(+.f32 (*.f32 (/.f32 50000000000/314159265359 (sqrt.f32 u1)) 1/2) (*.f32 50000000000/314159265359 (/.f32 1/2 (sqrt.f32 u1))))
(-.f32 (/.f32 50000000000/314159265359 (sqrt.f32 u1)) 0)
(-.f32 (/.f32 50000000000/314159265359 (sqrt.f32 u1)) (/.f32 0 (sqrt.f32 u1)))
(-.f32 0 (/.f32 -50000000000/314159265359 (sqrt.f32 u1)))
(-.f32 (/.f32 -50000000000/314159265359 (sqrt.f32 u1)) (neg.f32 (/.f32 100000000000/314159265359 (sqrt.f32 u1))))
(-.f32 (/.f32 100000000000/314159265359 (sqrt.f32 u1)) (/.f32 50000000000/314159265359 (sqrt.f32 u1)))
(-.f32 (/.f32 0 (sqrt.f32 u1)) (/.f32 -50000000000/314159265359 (sqrt.f32 u1)))
(-.f32 (/.f32 200000000000/314159265359 (sqrt.f32 u1)) (/.f32 150000000000/314159265359 (sqrt.f32 u1)))
(-.f32 (/.f32 150000000000/314159265359 (sqrt.f32 u1)) (/.f32 100000000000/314159265359 (sqrt.f32 u1)))
(-.f32 (-.f32 (/.f32 200000000000/314159265359 (sqrt.f32 u1)) (/.f32 0 (sqrt.f32 u1))) (/.f32 150000000000/314159265359 (sqrt.f32 u1)))
(-.f32 (*.f32 (/.f32 150000000000/314159265359 (sqrt.f32 u1)) 1/2) (*.f32 50000000000/314159265359 (/.f32 1/2 (sqrt.f32 u1))))
(*.f32 50000000000/314159265359 (/.f32 1 (sqrt.f32 u1)))
(*.f32 (/.f32 50000000000/314159265359 (sqrt.f32 u1)) 1)
(*.f32 1 (/.f32 50000000000/314159265359 (sqrt.f32 u1)))
(*.f32 1/2 (/.f32 100000000000/314159265359 (sqrt.f32 u1)))
(*.f32 100000000000/314159265359 (/.f32 1/2 (sqrt.f32 u1)))
(*.f32 (/.f32 1/2 (sqrt.f32 u1)) 100000000000/314159265359)
(*.f32 -1 (/.f32 -50000000000/314159265359 (sqrt.f32 u1)))
(*.f32 -1 (*.f32 100000000000/314159265359 (/.f32 1/2 (neg.f32 (sqrt.f32 u1)))))
(*.f32 -50000000000/314159265359 (/.f32 1 (neg.f32 (sqrt.f32 u1))))
(*.f32 (/.f32 -50000000000/314159265359 (sqrt.f32 u1)) -1)
(*.f32 (/.f32 1 (sqrt.f32 u1)) 50000000000/314159265359)
(*.f32 -1/2 (neg.f32 (/.f32 100000000000/314159265359 (sqrt.f32 u1))))
(*.f32 (/.f32 100000000000/314159265359 (sqrt.f32 u1)) 1/2)
(*.f32 2 (*.f32 50000000000/314159265359 (/.f32 1/2 (sqrt.f32 u1))))
(*.f32 2 (*.f32 1 (*.f32 50000000000/314159265359 (/.f32 1/2 (sqrt.f32 u1)))))
(*.f32 2 (*.f32 100000000000/314159265359 (*.f32 1/2 (/.f32 1/2 (sqrt.f32 u1)))))
(*.f32 2 (-.f32 (/.f32 50000000000/314159265359 (sqrt.f32 u1)) (*.f32 50000000000/314159265359 (/.f32 1/2 (sqrt.f32 u1)))))
(*.f32 -100000000000/314159265359 (neg.f32 (/.f32 1/2 (sqrt.f32 u1))))
(*.f32 -100000000000/314159265359 (/.f32 1/2 (neg.f32 (sqrt.f32 u1))))
(*.f32 -100000000000/314159265359 (*.f32 1 (neg.f32 (/.f32 1/2 (sqrt.f32 u1)))))
(*.f32 -100000000000/314159265359 (*.f32 1 (/.f32 1/2 (neg.f32 (sqrt.f32 u1)))))
(*.f32 200000000000/314159265359 (*.f32 1/2 (/.f32 1/2 (sqrt.f32 u1))))
(*.f32 200000000000/314159265359 (*.f32 1 (*.f32 1/2 (/.f32 1/2 (sqrt.f32 u1)))))
(*.f32 200000000000/314159265359 (-.f32 (/.f32 1/2 (sqrt.f32 u1)) (*.f32 1/2 (/.f32 1/2 (sqrt.f32 u1)))))
(*.f32 (neg.f32 (/.f32 100000000000/314159265359 (sqrt.f32 u1))) -1/2)
(*.f32 (neg.f32 (/.f32 1/2 (sqrt.f32 u1))) -100000000000/314159265359)
(*.f32 (*.f32 1/2 (/.f32 1/2 (sqrt.f32 u1))) 200000000000/314159265359)
(*.f32 (*.f32 50000000000/314159265359 (/.f32 1/2 (sqrt.f32 u1))) 2)
(*.f32 (/.f32 1/2 (neg.f32 (sqrt.f32 u1))) -100000000000/314159265359)
(neg.f32 (/.f32 -50000000000/314159265359 (sqrt.f32 u1)))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) 0)
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (-.f32 u2 u2))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 u1) 0))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (+.f32 (*.f32 (sqrt.f32 u1) 0) (-.f32 u2 u2)))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (+.f32 (-.f32 u2 u2) (*.f32 (sqrt.f32 u1) 0)))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) (-.f32 u2 u2)))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (+.f32 0 (+.f32 (*.f32 (sqrt.f32 u1) 0) (-.f32 u2 u2))))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (+.f32 0 (+.f32 (-.f32 u2 u2) (*.f32 (sqrt.f32 u1) 0))))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (+.f32 (-.f32 u2 u2) (+.f32 (*.f32 (sqrt.f32 u1) 0) (-.f32 u2 u2))))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (+.f32 (-.f32 u2 u2) (+.f32 (-.f32 u2 u2) (*.f32 (sqrt.f32 u1) 0))))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (+.f32 (*.f32 (sqrt.f32 u1) 0) (+.f32 (*.f32 (sqrt.f32 u1) 0) (-.f32 u2 u2))))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (+.f32 (*.f32 (sqrt.f32 u1) 0) (+.f32 (-.f32 u2 u2) (*.f32 (sqrt.f32 u1) 0))))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (-.f32 (+.f32 (*.f32 (sqrt.f32 u1) 0) (-.f32 u2 u2)) (-.f32 u2 u2)))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (-.f32 (+.f32 (-.f32 u2 u2) (*.f32 (sqrt.f32 u1) 0)) (-.f32 u2 u2)))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (-.f32 (+.f32 (*.f32 (sqrt.f32 u1) 0) (-.f32 u2 u2)) (*.f32 (sqrt.f32 u1) 0)))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (-.f32 (+.f32 (-.f32 u2 u2) (*.f32 (sqrt.f32 u1) 0)) (*.f32 (sqrt.f32 u1) 0)))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (-.f32 (+.f32 (*.f32 (sqrt.f32 u1) 0) (-.f32 u2 u2)) (*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) (-.f32 u2 u2))))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (-.f32 (+.f32 (-.f32 u2 u2) (*.f32 (sqrt.f32 u1) 0)) (*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) (-.f32 u2 u2))))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (*.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) 0))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (*.f32 1 (+.f32 (*.f32 (sqrt.f32 u1) 0) (-.f32 u2 u2))))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (*.f32 1 (+.f32 (-.f32 u2 u2) (*.f32 (sqrt.f32 u1) 0))))
(+.f32 0 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)))
(+.f32 (-.f32 u2 u2) (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)) (*.f32 u2 (/.f32 (sqrt.f32 u1) 25000000000/314159265359)))
(+.f32 (*.f32 u2 (/.f32 (sqrt.f32 u1) 25000000000/314159265359)) (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)))
(+.f32 (+.f32 (*.f32 (sqrt.f32 u1) 0) (-.f32 u2 u2)) (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)))
(+.f32 (+.f32 (-.f32 u2 u2) (*.f32 (sqrt.f32 u1) 0)) (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) (-.f32 u2 u2)) (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/100000000000)) (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/100000000000)))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/100000000000)) (+.f32 0 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/100000000000))))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/100000000000)) (*.f32 (*.f32 u2 314159265359/100000000000) (sqrt.f32 u1)))
(+.f32 (*.f32 (+.f32 u2 u2) (/.f32 (sqrt.f32 u1) 25000000000/314159265359)) (-.f32 0 (*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) (*.f32 u2 3))))
(+.f32 (*.f32 (+.f32 u2 u2) (/.f32 (sqrt.f32 u1) 25000000000/314159265359)) (-.f32 (-.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) (*.f32 u2 3))))
(+.f32 (*.f32 (+.f32 u2 u2) (/.f32 (sqrt.f32 u1) 25000000000/314159265359)) (-.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) (*.f32 u2 3))))
(+.f32 (*.f32 (*.f32 u2 1/2) (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/100000000000)))
(+.f32 (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) 1/2) (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/100000000000)))
(+.f32 (/.f32 (*.f32 u2 1/2) (/.f32 50000000000/314159265359 (sqrt.f32 u1))) (/.f32 (*.f32 u2 1/2) (/.f32 50000000000/314159265359 (sqrt.f32 u1))))
(-.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) 0)
(-.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (-.f32 u2 u2))
(-.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 u1) 0))
(-.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (+.f32 (*.f32 (sqrt.f32 u1) 0) (-.f32 u2 u2)))
(-.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (+.f32 (-.f32 u2 u2) (*.f32 (sqrt.f32 u1) 0)))
(-.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) (-.f32 u2 u2)))
(-.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (*.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) 0))
(-.f32 0 (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)))
(-.f32 (-.f32 u2 u2) (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)))
(-.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)))
(-.f32 (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)) (-.f32 0 (*.f32 u2 (/.f32 (sqrt.f32 u1) 25000000000/314159265359))))
(-.f32 (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)) (-.f32 (-.f32 u2 u2) (*.f32 u2 (/.f32 (sqrt.f32 u1) 25000000000/314159265359))))
(-.f32 (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)) (-.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 u2 (/.f32 (sqrt.f32 u1) 25000000000/314159265359))))
(-.f32 (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)) (*.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) (+.f32 u2 u2)))
(-.f32 (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)) (/.f32 (*.f32 (sqrt.f32 u1) 2) (/.f32 -50000000000/314159265359 u2)))
(-.f32 (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)) (/.f32 (*.f32 u2 (/.f32 (sqrt.f32 u1) 25000000000/314159265359)) -1))
(-.f32 (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)) (/.f32 (+.f32 u2 u2) (/.f32 -50000000000/314159265359 (sqrt.f32 u1))))
(-.f32 (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)) (*.f32 -1 (*.f32 u2 (/.f32 (sqrt.f32 u1) 25000000000/314159265359))))
(-.f32 (*.f32 u2 (/.f32 (sqrt.f32 u1) 25000000000/314159265359)) (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)))
(-.f32 (+.f32 (*.f32 (sqrt.f32 u1) 0) (-.f32 u2 u2)) (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)))
(-.f32 (+.f32 (-.f32 u2 u2) (*.f32 (sqrt.f32 u1) 0)) (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)))
(-.f32 (*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) (-.f32 u2 u2)) (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)))
(-.f32 (*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) (*.f32 u2 3)) (*.f32 u2 (/.f32 (sqrt.f32 u1) 25000000000/314159265359)))
(-.f32 (*.f32 (+.f32 u2 u2) (/.f32 (sqrt.f32 u1) 25000000000/314159265359)) (*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) (*.f32 u2 3)))
(-.f32 (-.f32 (*.f32 (+.f32 u2 u2) (/.f32 (sqrt.f32 u1) 25000000000/314159265359)) (*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) (-.f32 u2 u2))) (*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) (*.f32 u2 3)))
(-.f32 (+.f32 (-.f32 u2 u2) (*.f32 (+.f32 u2 u2) (/.f32 (sqrt.f32 u1) 25000000000/314159265359))) (*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) (*.f32 u2 3)))
(-.f32 (+.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (+.f32 u2 u2) (/.f32 (sqrt.f32 u1) 25000000000/314159265359))) (*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) (*.f32 u2 3)))
(-.f32 (/.f32 (*.f32 u2 3) (/.f32 100000000000/314159265359 (sqrt.f32 u1))) (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/100000000000)))
(-.f32 (/.f32 (*.f32 (sqrt.f32 u1) 3) (/.f32 100000000000/314159265359 u2)) (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/100000000000)))
(-.f32 (/.f32 0 (neg.f32 (/.f32 100000000000/314159265359 (sqrt.f32 u1)))) (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)))
(-.f32 (*.f32 0 (/.f32 (sqrt.f32 u1) -100000000000/314159265359)) (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)))
(-.f32 (*.f32 0 (neg.f32 u2)) (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)))
(-.f32 (*.f32 (*.f32 (+.f32 u2 u2) 314159265359/50000000000) (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)))
(-.f32 (*.f32 (+.f32 u2 (*.f32 u2 3)) (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) (*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) (*.f32 u2 3)))
(-.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) (*.f32 u2 3)) 1/2) (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/100000000000)))
(-.f32 (*.f32 (*.f32 u2 3) (*.f32 (sqrt.f32 u1) 314159265359/100000000000)) (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/100000000000)))
(-.f32 (*.f32 (/.f32 (sqrt.f32 u1) 1/4) (*.f32 u2 314159265359/50000000000)) (*.f32 (*.f32 u2 314159265359/50000000000) (*.f32 (sqrt.f32 u1) 3)))
(-.f32 (*.f32 (-.f32 u2 u2) -1) (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)))
(-.f32 (*.f32 (*.f32 (sqrt.f32 u1) 0) -1) (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)))
(-.f32 (*.f32 (*.f32 (sqrt.f32 u1) 3) (*.f32 u2 314159265359/100000000000)) (*.f32 (*.f32 u2 314159265359/100000000000) (sqrt.f32 u1)))
(-.f32 (*.f32 0 (/.f32 u2 -1/2)) (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) 1)
(*.f32 1 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)))
(*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) u2)
(*.f32 (+.f32 u2 u2) (*.f32 (sqrt.f32 u1) 314159265359/100000000000))
(*.f32 1/2 (*.f32 u2 (/.f32 (sqrt.f32 u1) 25000000000/314159265359)))
(*.f32 (*.f32 (sqrt.f32 u1) 314159265359/100000000000) (+.f32 u2 u2))
(*.f32 (*.f32 (sqrt.f32 u1) 314159265359/100000000000) (/.f32 1/2 (/.f32 1/2 (+.f32 u2 u2))))
(*.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 u1))
(*.f32 -1 (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)))
(*.f32 (neg.f32 u2) (*.f32 (sqrt.f32 u1) -314159265359/50000000000))
(*.f32 (neg.f32 u2) (/.f32 -1 (/.f32 50000000000/314159265359 (sqrt.f32 u1))))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 u2 -50000000000/314159265359))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 (*.f32 u2 314159265359/100000000000) -1/2))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 1 (/.f32 -50000000000/314159265359 u2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 -1 (/.f32 50000000000/314159265359 u2)))
(*.f32 (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)) -1)
(*.f32 (*.f32 u2 314159265359/100000000000) (*.f32 (sqrt.f32 u1) 2))
(*.f32 314159265359/200000000000 (/.f32 (*.f32 (sqrt.f32 u1) 2) (/.f32 1/2 u2)))
(*.f32 314159265359/200000000000 (/.f32 (+.f32 u2 u2) (/.f32 1/2 (sqrt.f32 u1))))
(*.f32 314159265359/200000000000 (*.f32 (+.f32 u2 u2) (*.f32 (sqrt.f32 u1) 2)))
(*.f32 (*.f32 (sqrt.f32 u1) u2) 314159265359/50000000000)
(*.f32 -1/2 (+.f32 (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)) (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359))))
(*.f32 -1/2 (/.f32 (/.f32 u2 -1/2) (/.f32 50000000000/314159265359 (sqrt.f32 u1))))
(*.f32 -1/2 (/.f32 (-.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 u1)) (/.f32 50000000000/314159265359 u2)))
(*.f32 -1/2 (*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) (/.f32 u2 -1/2)))
(*.f32 -1/2 (*.f32 (+.f32 u2 u2) (*.f32 (sqrt.f32 u1) -314159265359/50000000000)))
(*.f32 (*.f32 u2 (/.f32 (sqrt.f32 u1) 25000000000/314159265359)) 1/2)
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 314159265359/100000000000))
(*.f32 314159265359/100000000000 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)))
(*.f32 2 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/100000000000)))
(*.f32 (*.f32 (sqrt.f32 u1) 1/2) (*.f32 (+.f32 u2 u2) 314159265359/50000000000))
(*.f32 (/.f32 u2 -100000000000/314159265359) (-.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) 25000000000/314159265359) (*.f32 u2 1/2))
(*.f32 (*.f32 (+.f32 u2 u2) 314159265359/50000000000) (/.f32 1/2 (/.f32 1 (sqrt.f32 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) 1/4) (/.f32 1/2 (/.f32 100000000000/314159265359 u2)))
(*.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) (neg.f32 u2))
(*.f32 (/.f32 u2 -1/2) (/.f32 (sqrt.f32 u1) -100000000000/314159265359))
(*.f32 (/.f32 u2 -1/2) (*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) -1/2))
(*.f32 (/.f32 u2 -1/2) (/.f32 -1/2 (/.f32 50000000000/314159265359 (sqrt.f32 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) -100000000000/314159265359) (/.f32 u2 -1/2))
(*.f32 (/.f32 (sqrt.f32 u1) -100000000000/314159265359) (/.f32 -1 (/.f32 1/2 u2)))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) u2))
(*.f32 (/.f32 (sqrt.f32 u1) 200000000000/314159265359) (+.f32 u2 (*.f32 u2 3)))
(*.f32 (/.f32 (sqrt.f32 u1) 200000000000/314159265359) (/.f32 2 (/.f32 1/2 u2)))
(*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/100000000000)) 2)
(*.f32 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)) 314159265359/100000000000)
(*.f32 (+.f32 u2 (*.f32 u2 3)) (/.f32 (sqrt.f32 u1) 200000000000/314159265359))
(*.f32 (+.f32 u2 (*.f32 u2 3)) (*.f32 (*.f32 (sqrt.f32 u1) 314159265359/100000000000) 1/2))
(*.f32 (+.f32 u2 (*.f32 u2 3)) (*.f32 1 (/.f32 (sqrt.f32 u1) 200000000000/314159265359)))
(*.f32 (+.f32 u2 (*.f32 u2 3)) (-.f32 (*.f32 (sqrt.f32 u1) 314159265359/100000000000) (/.f32 (sqrt.f32 u1) 200000000000/314159265359)))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 u1)) (/.f32 u2 -100000000000/314159265359))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 u1)) (*.f32 u2 -314159265359/100000000000))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 u1)) (*.f32 (*.f32 u2 314159265359/50000000000) -1/2))
(*.f32 (+.f32 (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)) (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359))) -1/2)
(*.f32 -314159265359/100000000000 (/.f32 (-.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 u1)) (/.f32 1 u2)))
(neg.f32 (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)))
Outputs
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(+.f32 (/.f32 50000000000/314159265359 (sqrt.f32 u1)) 0)
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(+.f32 (/.f32 50000000000/314159265359 (sqrt.f32 u1)) (/.f32 0 (sqrt.f32 u1)))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(+.f32 0 (/.f32 50000000000/314159265359 (sqrt.f32 u1)))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(+.f32 (/.f32 -50000000000/314159265359 (sqrt.f32 u1)) (/.f32 100000000000/314159265359 (sqrt.f32 u1)))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(+.f32 (/.f32 100000000000/314159265359 (sqrt.f32 u1)) (/.f32 -50000000000/314159265359 (sqrt.f32 u1)))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(+.f32 (/.f32 0 (sqrt.f32 u1)) (/.f32 50000000000/314159265359 (sqrt.f32 u1)))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(+.f32 (/.f32 200000000000/314159265359 (sqrt.f32 u1)) (-.f32 0 (/.f32 150000000000/314159265359 (sqrt.f32 u1))))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(+.f32 (*.f32 (/.f32 50000000000/314159265359 (sqrt.f32 u1)) 1/2) (*.f32 50000000000/314159265359 (/.f32 1/2 (sqrt.f32 u1))))
(+.f32 (*.f32 (/.f32 50000000000/314159265359 (sqrt.f32 u1)) 1/2) (/.f32 25000000000/314159265359 (sqrt.f32 u1)))
(+.f32 (/.f32 25000000000/314159265359 (sqrt.f32 u1)) (/.f32 25000000000/314159265359 (sqrt.f32 u1)))
(-.f32 (/.f32 50000000000/314159265359 (sqrt.f32 u1)) 0)
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(-.f32 (/.f32 50000000000/314159265359 (sqrt.f32 u1)) (/.f32 0 (sqrt.f32 u1)))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(-.f32 0 (/.f32 -50000000000/314159265359 (sqrt.f32 u1)))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(-.f32 (/.f32 -50000000000/314159265359 (sqrt.f32 u1)) (neg.f32 (/.f32 100000000000/314159265359 (sqrt.f32 u1))))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(-.f32 (/.f32 100000000000/314159265359 (sqrt.f32 u1)) (/.f32 50000000000/314159265359 (sqrt.f32 u1)))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(-.f32 (/.f32 0 (sqrt.f32 u1)) (/.f32 -50000000000/314159265359 (sqrt.f32 u1)))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(-.f32 (/.f32 200000000000/314159265359 (sqrt.f32 u1)) (/.f32 150000000000/314159265359 (sqrt.f32 u1)))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(-.f32 (/.f32 150000000000/314159265359 (sqrt.f32 u1)) (/.f32 100000000000/314159265359 (sqrt.f32 u1)))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(-.f32 (-.f32 (/.f32 200000000000/314159265359 (sqrt.f32 u1)) (/.f32 0 (sqrt.f32 u1))) (/.f32 150000000000/314159265359 (sqrt.f32 u1)))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(-.f32 (*.f32 (/.f32 150000000000/314159265359 (sqrt.f32 u1)) 1/2) (*.f32 50000000000/314159265359 (/.f32 1/2 (sqrt.f32 u1))))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 50000000000/314159265359 (/.f32 1 (sqrt.f32 u1)))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 (/.f32 50000000000/314159265359 (sqrt.f32 u1)) 1)
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 1 (/.f32 50000000000/314159265359 (sqrt.f32 u1)))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 1/2 (/.f32 100000000000/314159265359 (sqrt.f32 u1)))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 100000000000/314159265359 (/.f32 1/2 (sqrt.f32 u1)))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 (/.f32 1/2 (sqrt.f32 u1)) 100000000000/314159265359)
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 -1 (/.f32 -50000000000/314159265359 (sqrt.f32 u1)))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 -1 (*.f32 100000000000/314159265359 (/.f32 1/2 (neg.f32 (sqrt.f32 u1)))))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 -50000000000/314159265359 (/.f32 1 (neg.f32 (sqrt.f32 u1))))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 (/.f32 -50000000000/314159265359 (sqrt.f32 u1)) -1)
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 (/.f32 1 (sqrt.f32 u1)) 50000000000/314159265359)
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 -1/2 (neg.f32 (/.f32 100000000000/314159265359 (sqrt.f32 u1))))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 (/.f32 100000000000/314159265359 (sqrt.f32 u1)) 1/2)
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 2 (*.f32 50000000000/314159265359 (/.f32 1/2 (sqrt.f32 u1))))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 2 (*.f32 1 (*.f32 50000000000/314159265359 (/.f32 1/2 (sqrt.f32 u1)))))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 2 (*.f32 100000000000/314159265359 (*.f32 1/2 (/.f32 1/2 (sqrt.f32 u1)))))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 2 (-.f32 (/.f32 50000000000/314159265359 (sqrt.f32 u1)) (*.f32 50000000000/314159265359 (/.f32 1/2 (sqrt.f32 u1)))))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 -100000000000/314159265359 (neg.f32 (/.f32 1/2 (sqrt.f32 u1))))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 -100000000000/314159265359 (/.f32 1/2 (neg.f32 (sqrt.f32 u1))))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 -100000000000/314159265359 (*.f32 1 (neg.f32 (/.f32 1/2 (sqrt.f32 u1)))))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 -100000000000/314159265359 (*.f32 1 (/.f32 1/2 (neg.f32 (sqrt.f32 u1)))))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 200000000000/314159265359 (*.f32 1/2 (/.f32 1/2 (sqrt.f32 u1))))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 200000000000/314159265359 (*.f32 1 (*.f32 1/2 (/.f32 1/2 (sqrt.f32 u1)))))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 200000000000/314159265359 (-.f32 (/.f32 1/2 (sqrt.f32 u1)) (*.f32 1/2 (/.f32 1/2 (sqrt.f32 u1)))))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 (neg.f32 (/.f32 100000000000/314159265359 (sqrt.f32 u1))) -1/2)
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 (neg.f32 (/.f32 1/2 (sqrt.f32 u1))) -100000000000/314159265359)
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 (*.f32 1/2 (/.f32 1/2 (sqrt.f32 u1))) 200000000000/314159265359)
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 (*.f32 50000000000/314159265359 (/.f32 1/2 (sqrt.f32 u1))) 2)
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(*.f32 (/.f32 1/2 (neg.f32 (sqrt.f32 u1))) -100000000000/314159265359)
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(neg.f32 (/.f32 -50000000000/314159265359 (sqrt.f32 u1)))
(/.f32 50000000000/314159265359 (sqrt.f32 u1))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) 0)
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (-.f32 u2 u2))
(+.f32 u2 (-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) u2))
(-.f32 u2 (-.f32 u2 (*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (-.f32 u2 u2))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 u1) 0))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (+.f32 (*.f32 (sqrt.f32 u1) 0) (-.f32 u2 u2)))
(+.f32 u2 (-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) u2))
(-.f32 u2 (-.f32 u2 (*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (-.f32 u2 u2))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (+.f32 (-.f32 u2 u2) (*.f32 (sqrt.f32 u1) 0)))
(+.f32 u2 (-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) u2))
(-.f32 u2 (-.f32 u2 (*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (-.f32 u2 u2))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) (-.f32 u2 u2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (+.f32 0 (+.f32 (*.f32 (sqrt.f32 u1) 0) (-.f32 u2 u2))))
(+.f32 u2 (-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) u2))
(-.f32 u2 (-.f32 u2 (*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (-.f32 u2 u2))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (+.f32 0 (+.f32 (-.f32 u2 u2) (*.f32 (sqrt.f32 u1) 0))))
(+.f32 u2 (-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) u2))
(-.f32 u2 (-.f32 u2 (*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (-.f32 u2 u2))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (+.f32 (-.f32 u2 u2) (+.f32 (*.f32 (sqrt.f32 u1) 0) (-.f32 u2 u2))))
(+.f32 u2 (-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) u2))
(-.f32 u2 (-.f32 u2 (*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (-.f32 u2 u2))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (+.f32 (-.f32 u2 u2) (+.f32 (-.f32 u2 u2) (*.f32 (sqrt.f32 u1) 0))))
(+.f32 u2 (-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) u2))
(-.f32 u2 (-.f32 u2 (*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (-.f32 u2 u2))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (+.f32 (*.f32 (sqrt.f32 u1) 0) (+.f32 (*.f32 (sqrt.f32 u1) 0) (-.f32 u2 u2))))
(+.f32 u2 (-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) u2))
(-.f32 u2 (-.f32 u2 (*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (-.f32 u2 u2))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/50000000000)) (+.f32 (*.f32 (sqrt.f32 u1) 0) (+.f32 (-.f32 u2 u2) (*.f32 (sqrt.f32 u1) 0))))
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(*.f32 (+.f32 u2 (*.f32 u2 3)) (/.f32 (sqrt.f32 u1) 200000000000/314159265359))
(*.f32 (/.f32 (sqrt.f32 u1) 200000000000/314159265359) (/.f32 2 (/.f32 1/2 u2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 314159265359/100000000000)) 2)
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)) 314159265359/100000000000)
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 (+.f32 u2 (*.f32 u2 3)) (/.f32 (sqrt.f32 u1) 200000000000/314159265359))
(*.f32 (+.f32 u2 (*.f32 u2 3)) (*.f32 (*.f32 (sqrt.f32 u1) 314159265359/100000000000) 1/2))
(*.f32 (+.f32 u2 (*.f32 u2 3)) (*.f32 1/2 (*.f32 (sqrt.f32 u1) 314159265359/100000000000)))
(*.f32 (+.f32 u2 (*.f32 u2 3)) (*.f32 (sqrt.f32 u1) 314159265359/200000000000))
(*.f32 (+.f32 u2 (*.f32 u2 3)) (*.f32 1 (/.f32 (sqrt.f32 u1) 200000000000/314159265359)))
(*.f32 (+.f32 u2 (*.f32 u2 3)) (/.f32 (sqrt.f32 u1) 200000000000/314159265359))
(*.f32 (+.f32 u2 (*.f32 u2 3)) (-.f32 (*.f32 (sqrt.f32 u1) 314159265359/100000000000) (/.f32 (sqrt.f32 u1) 200000000000/314159265359)))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 u1)) (/.f32 u2 -100000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 u1)) (*.f32 u2 -314159265359/100000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 (-.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 u1)) (*.f32 (*.f32 u2 314159265359/50000000000) -1/2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 (+.f32 (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)) (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359))) -1/2)
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 -314159265359/100000000000 (/.f32 (-.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 u1)) (/.f32 1 u2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(neg.f32 (*.f32 (sqrt.f32 u1) (/.f32 u2 -50000000000/314159265359)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
0.3b
(*.f32 u2 (sqrt.f32 u1))
✓0.3b
(*.f32 314159265359/50000000000 (-.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) u2))
✓6.3b
(-.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) u2)
Compiler

Compiled 36 to 10 computations (72.2% saved)

series2.0ms (0%)

Counts
3 → 37
Calls

18 calls:

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

rewrite102.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
700×rational.json-simplify-51
564×rational.json-1
564×rational.json-2
564×rational.json-4
564×rational.json-3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01169
17269
224445
3132045
4692245
Stop Event
1×node limit
Counts
3 → 369
Calls
Call 1
Inputs
(-.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) u2)
(*.f32 314159265359/50000000000 (-.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) u2))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 u2 (-.f32 (*.f32 u2 (sqrt.f32 u1)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 u2 (/.f32 -1 (/.f32 1 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 u2 (/.f32 -1 (/.f32 -1 (-.f32 (*.f32 u2 (sqrt.f32 u1)) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 (sqrt.f32 u1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 (sqrt.f32 u1)) (-.f32 u2 u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) (-.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 0 (-.f32 (sqrt.f32 u1) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 0 (-.f32 u2 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 1 (*.f32 0 (-.f32 u2 (sqrt.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 -1 (/.f32 (/.f32 1 u2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 -1 (/.f32 1 (-.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 -1 (/.f32 -1 (-.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 -1 (/.f32 (/.f32 1 (sqrt.f32 u1)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 -1 (/.f32 1 (*.f32 (sqrt.f32 u1) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) (neg.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) (-.f32 (*.f32 (sqrt.f32 u1) (-.f32 u2 u2)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u2 (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 u2 (sqrt.f32 u1)) u2) u2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 (neg.f32 (sqrt.f32 u1))) (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 2) (neg.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 2) (*.f32 1/2 (-.f32 (*.f32 u2 (sqrt.f32 u1)) (+.f32 u2 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 2) (/.f32 -1 (/.f32 1 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) (/.f32 -1 (/.f32 1/2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 (+.f32 (+.f32 (sqrt.f32 u1) 1) (sqrt.f32 u1))) (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))))))) 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(/.f32 (/.f32 -1 u2) (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 u1) 0) (/.f32 -1 (/.f32 (/.f32 -1 (sqrt.f32 u1)) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)) (*.f32 u2 (neg.f32 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 u2 u2) (-.f32 (*.f32 u2 (sqrt.f32 u1)) (+.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 2) 2) (neg.f32 (+.f32 u2 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 2) 2) (*.f32 1 (neg.f32 (+.f32 u2 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2))) (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (+.f32 u2 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 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(#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 u2) (neg.f32 (+.f32 1 (+.f32 (sqrt.f32 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 u2) (+.f32 -1 (-.f32 1 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 u2) (-.f32 (*.f32 -1 (*.f32 (sqrt.f32 u1) 2)) (neg.f32 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 u2) (-.f32 (*.f32 (sqrt.f32 u1) 1/2) (*.f32 (*.f32 (sqrt.f32 u1) 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 u2) (-.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 u2) (-.f32 (-.f32 1 (sqrt.f32 u1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 u2) (-.f32 (+.f32 1 (+.f32 (sqrt.f32 u1) -1)) (*.f32 (sqrt.f32 u1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (*.f32 u2 (neg.f32 (sqrt.f32 u1))))))) 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(#(struct:change #<rule egg-rr> (2) ((x /.f32 1/2 (/.f32 -1 (*.f32 2 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))) (neg.f32 (+.f32 u2 u2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))) (-.f32 u2 u2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 -1 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (+.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))) (neg.f32 (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (+.f32 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))) (-.f32 u2 u2)))))))

simplify139.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1050×rational.json-simplify-24
676×rational.json-simplify-1
646×rational.json-simplify-42
646×rational.json-simplify-5
616×rational.json-simplify-2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075011398
1263110624
Stop Event
1×node limit
Counts
406 → 564
Calls
Call 1
Inputs
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (+.f32 1 (sqrt.f32 u1)) u2)
(*.f32 (+.f32 1 (sqrt.f32 u1)) u2)
(*.f32 (+.f32 1 (sqrt.f32 u1)) u2)
(*.f32 (+.f32 1 (sqrt.f32 u1)) u2)
(*.f32 (+.f32 1 (sqrt.f32 u1)) u2)
(*.f32 (+.f32 1 (sqrt.f32 u1)) u2)
(*.f32 (+.f32 1 (sqrt.f32 u1)) u2)
(*.f32 (+.f32 1 (sqrt.f32 u1)) u2)
(*.f32 -1 (*.f32 u2 (-.f32 (*.f32 -1 (sqrt.f32 u1)) 1)))
(*.f32 -1 (*.f32 u2 (-.f32 (*.f32 -1 (sqrt.f32 u1)) 1)))
(*.f32 -1 (*.f32 u2 (-.f32 (*.f32 -1 (sqrt.f32 u1)) 1)))
(*.f32 -1 (*.f32 u2 (-.f32 (*.f32 -1 (sqrt.f32 u1)) 1)))
u2
(+.f32 u2 (-.f32 (*.f32 u2 (sqrt.f32 u1)) u2))
(+.f32 u2 (/.f32 -1 (/.f32 1 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))))))
(+.f32 u2 (/.f32 -1 (/.f32 -1 (-.f32 (*.f32 u2 (sqrt.f32 u1)) u2))))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) 0)
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (-.f32 u2 u2))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) 0))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) (-.f32 u2 u2)))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 0 (-.f32 (sqrt.f32 u1) u2)))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 0 (-.f32 u2 (sqrt.f32 u1))))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) 0))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 1 (*.f32 0 (-.f32 u2 (sqrt.f32 u1)))))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 -1 (/.f32 (/.f32 1 u2) 0)))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 -1 (/.f32 1 (-.f32 u2 u2))))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 -1 (/.f32 -1 (-.f32 u2 u2))))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 -1 (/.f32 (/.f32 1 (sqrt.f32 u1)) 0)))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 -1 (/.f32 1 (*.f32 (sqrt.f32 u1) 0))))
(+.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) (neg.f32 u2))
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(-.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) (+.f32 (*.f32 (sqrt.f32 u1) 0) (-.f32 u2 u2)))
(-.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) (+.f32 0 (*.f32 (sqrt.f32 u1) (-.f32 u2 u2))))
(-.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) (+.f32 (*.f32 (sqrt.f32 u1) (-.f32 u2 u2)) (*.f32 (sqrt.f32 u1) (-.f32 u2 u2))))
(-.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) (+.f32 (*.f32 (sqrt.f32 u1) (-.f32 u2 u2)) (-.f32 u2 u2)))
(-.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) (+.f32 (*.f32 (sqrt.f32 u1) (-.f32 u2 u2)) (*.f32 (sqrt.f32 u1) 0)))
(-.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) (+.f32 (-.f32 u2 u2) (*.f32 (sqrt.f32 u1) (-.f32 u2 u2))))
(-.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) (+.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 (sqrt.f32 u1) (-.f32 u2 u2))))
(-.f32 0 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))))
(-.f32 0 (*.f32 -1 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))))
(-.f32 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 2) (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))))
(-.f32 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 2) (+.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) (*.f32 (sqrt.f32 u1) 0)))
(-.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) u2)
(-.f32 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))) (*.f32 2 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1)))))
(-.f32 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))) (*.f32 -1 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 2)))
(-.f32 (-.f32 u2 u2) (/.f32 1 (/.f32 1 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))))))
(-.f32 (*.f32 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 2) 2) (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 3))
(-.f32 (+.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2))) (*.f32 u2 (sqrt.f32 u1)))
(-.f32 (+.f32 (*.f32 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 2) 2) (*.f32 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 2) 2)) (+.f32 (*.f32 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 2) 2) (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 3)))
(-.f32 (*.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) 2) (+.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) u2))
(-.f32 (*.f32 0 (+.f32 (sqrt.f32 u1) 1)) (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))))
(-.f32 (*.f32 (+.f32 u2 u2) (+.f32 (sqrt.f32 u1) 1)) (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))))
(-.f32 (*.f32 (*.f32 (+.f32 u2 u2) 2) (+.f32 (sqrt.f32 u1) 1)) (*.f32 (+.f32 (sqrt.f32 u1) 1) (*.f32 u2 3)))
(-.f32 (*.f32 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 3) 1/2) (*.f32 1/2 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))))
(-.f32 (+.f32 (+.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2))) (+.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)))) (+.f32 (+.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2))) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(*.f32 u2 (+.f32 1 (+.f32 1 (+.f32 (sqrt.f32 u1) -1))))
(*.f32 u2 (+.f32 (+.f32 (sqrt.f32 u1) -1) 2))
(*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 1)
(*.f32 1 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))))
(*.f32 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 2) 1/2)
(*.f32 (neg.f32 u2) (-.f32 -1 (sqrt.f32 u1)))
(*.f32 (neg.f32 u2) (neg.f32 (+.f32 (sqrt.f32 u1) 1)))
(*.f32 (neg.f32 u2) (+.f32 -1 (neg.f32 (sqrt.f32 u1))))
(*.f32 (neg.f32 u2) (-.f32 (+.f32 (*.f32 (sqrt.f32 u1) 0) -1) (sqrt.f32 u1)))
(*.f32 (neg.f32 u2) (-.f32 (+.f32 (sqrt.f32 u1) -1) (*.f32 (sqrt.f32 u1) 2)))
(*.f32 (neg.f32 u2) (-.f32 (+.f32 (sqrt.f32 u1) 1) (+.f32 (+.f32 (sqrt.f32 u1) 1) (+.f32 (sqrt.f32 u1) 1))))
(*.f32 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))) -1)
(*.f32 -1 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))))
(*.f32 (+.f32 (sqrt.f32 u1) 1) u2)
(*.f32 (+.f32 (sqrt.f32 u1) 1) (-.f32 (*.f32 u2 3) (+.f32 u2 u2)))
(*.f32 (+.f32 (sqrt.f32 u1) 1) (-.f32 (neg.f32 (*.f32 u2 3)) (neg.f32 (*.f32 (+.f32 u2 u2) 2))))
(*.f32 (+.f32 u2 u2) (*.f32 (+.f32 (sqrt.f32 u1) 1) 1/2))
(*.f32 (+.f32 u2 u2) (+.f32 1/2 (*.f32 (sqrt.f32 u1) 1/2)))
(*.f32 (*.f32 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 2) 2) 1/4)
(*.f32 1/2 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 2))
(*.f32 1/2 (-.f32 (*.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) 2) (+.f32 u2 u2)))
(*.f32 1/2 (+.f32 (+.f32 u2 u2) (*.f32 (sqrt.f32 u1) (+.f32 u2 u2))))
(*.f32 1/2 (+.f32 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)) (+.f32 u2 u2)))
(*.f32 (*.f32 2 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1)))) -1/2)
(*.f32 2 (/.f32 1/2 (/.f32 1 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))))))
(*.f32 (neg.f32 (+.f32 u2 u2)) (*.f32 (+.f32 (sqrt.f32 u1) 1) -1/2))
(*.f32 -1/2 (*.f32 2 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1)))))
(*.f32 (neg.f32 (+.f32 (sqrt.f32 u1) 1)) (neg.f32 u2))
(/.f32 u2 (/.f32 1 (+.f32 (sqrt.f32 u1) 1)))
(/.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 1)
(/.f32 1 (/.f32 1 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))))
(/.f32 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))) -1)
(/.f32 -1 (/.f32 1 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1)))))
(/.f32 (+.f32 (sqrt.f32 u1) 1) (/.f32 1 u2))
(/.f32 1/2 (/.f32 1 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 2)))
(/.f32 1/2 (/.f32 -1 (*.f32 2 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))))))
(/.f32 (+.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))) (neg.f32 (+.f32 u2 u2))) -1)
(/.f32 (+.f32 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))) (-.f32 u2 u2)) -1)
(neg.f32 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))))
(neg.f32 (*.f32 -1 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))))
(neg.f32 (+.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))) (neg.f32 (+.f32 u2 u2))))
(neg.f32 (+.f32 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))) (-.f32 u2 u2)))
Outputs
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 (+.f32 1 (sqrt.f32 u1)) u2)
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (+.f32 1 (sqrt.f32 u1)) u2)
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (+.f32 1 (sqrt.f32 u1)) u2)
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (+.f32 1 (sqrt.f32 u1)) u2)
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (+.f32 1 (sqrt.f32 u1)) u2)
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (+.f32 1 (sqrt.f32 u1)) u2)
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (+.f32 1 (sqrt.f32 u1)) u2)
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (+.f32 1 (sqrt.f32 u1)) u2)
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 -1 (*.f32 u2 (-.f32 (*.f32 -1 (sqrt.f32 u1)) 1)))
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 -1 (*.f32 u2 (-.f32 (*.f32 -1 (sqrt.f32 u1)) 1)))
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 -1 (*.f32 u2 (-.f32 (*.f32 -1 (sqrt.f32 u1)) 1)))
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 -1 (*.f32 u2 (-.f32 (*.f32 -1 (sqrt.f32 u1)) 1)))
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
u2
(+.f32 u2 (-.f32 (*.f32 u2 (sqrt.f32 u1)) u2))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 u2 (/.f32 -1 (/.f32 1 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))))))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 u2 (/.f32 -1 (/.f32 -1 (-.f32 (*.f32 u2 (sqrt.f32 u1)) u2))))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) 0)
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (-.f32 u2 u2))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) 0))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) (-.f32 u2 u2)))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 0 (-.f32 (sqrt.f32 u1) u2)))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 0 (-.f32 u2 (sqrt.f32 u1))))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) 0))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 0 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2))))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 (+.f32 (sqrt.f32 u1) 2) (*.f32 0 u2)))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 1 (*.f32 0 (-.f32 u2 (sqrt.f32 u1)))))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 -1 (/.f32 (/.f32 1 u2) 0)))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 -1 (/.f32 1 (*.f32 u2 0))))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 0 (neg.f32 u2)))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 -1 (/.f32 1 (-.f32 u2 u2))))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 -1 (/.f32 -1 (-.f32 u2 u2))))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 -1 (/.f32 (/.f32 1 (sqrt.f32 u1)) 0)))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 (*.f32 (sqrt.f32 u1) 0) -1))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (neg.f32 (*.f32 (sqrt.f32 u1) 0)))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 -1 (/.f32 1 (*.f32 (sqrt.f32 u1) 0))))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 (*.f32 (sqrt.f32 u1) 0) -1))
(+.f32 (*.f32 u2 (sqrt.f32 u1)) (neg.f32 (*.f32 (sqrt.f32 u1) 0)))
(+.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) (neg.f32 u2))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) (-.f32 (*.f32 (sqrt.f32 u1) (-.f32 u2 u2)) u2))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 0 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (-.f32 (*.f32 u2 (sqrt.f32 u1)) u2) u2)
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (*.f32 u2 (neg.f32 (sqrt.f32 u1))) (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 2) (neg.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2))))
(+.f32 (*.f32 2 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))) (neg.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2))))
(+.f32 (*.f32 2 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))) (*.f32 (+.f32 (sqrt.f32 u1) 2) (neg.f32 u2)))
(+.f32 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 2) (*.f32 1/2 (-.f32 (*.f32 u2 (sqrt.f32 u1)) (+.f32 u2 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 3)))))
(+.f32 (*.f32 2 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))) (*.f32 1/2 (-.f32 (*.f32 u2 (sqrt.f32 u1)) (+.f32 u2 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 3)))))
(+.f32 (*.f32 2 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))) (*.f32 -1/2 (+.f32 (*.f32 u2 (*.f32 (+.f32 (sqrt.f32 u1) 1) 3)) (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))))))
(+.f32 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 2) (/.f32 -1 (/.f32 1 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)))))
(+.f32 (*.f32 2 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))) (neg.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2))))
(+.f32 (*.f32 2 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))) (*.f32 (+.f32 (sqrt.f32 u1) 2) (neg.f32 u2)))
(+.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) (/.f32 -1 (/.f32 1/2 u2)))
(+.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) (/.f32 u2 -1/2))
(+.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) (*.f32 -2 u2))
(+.f32 (*.f32 u2 (+.f32 (+.f32 (sqrt.f32 u1) 1) (sqrt.f32 u1))) (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (neg.f32 u2) (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (neg.f32 u2) (/.f32 -1 (neg.f32 (/.f32 1 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))))))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))) (*.f32 u2 (+.f32 (+.f32 (sqrt.f32 u1) 1) (sqrt.f32 u1))))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (-.f32 (*.f32 (sqrt.f32 u1) (-.f32 u2 u2)) u2) (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (-.f32 u2 u2) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (-.f32 u2 u2) (/.f32 -1 (/.f32 (/.f32 -1 u2) (sqrt.f32 u1))))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (-.f32 u2 u2) (/.f32 -1 (/.f32 (/.f32 -1 (sqrt.f32 u1)) u2)))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (*.f32 (sqrt.f32 u1) 0) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (*.f32 (sqrt.f32 u1) 0) (/.f32 -1 (/.f32 (/.f32 -1 u2) (sqrt.f32 u1))))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (*.f32 (sqrt.f32 u1) 0) (/.f32 -1 (/.f32 (/.f32 -1 (sqrt.f32 u1)) u2)))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (*.f32 (sqrt.f32 u1) (+.f32 u2 u2)) (*.f32 u2 (neg.f32 (sqrt.f32 u1))))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (+.f32 u2 u2) (-.f32 (*.f32 u2 (sqrt.f32 u1)) (+.f32 u2 u2)))
(*.f32 u2 (sqrt.f32 u1))
(+.f32 (*.f32 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 2) 2) (neg.f32 (+.f32 u2 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 3))))
(+.f32 (*.f32 2 (*.f32 2 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))))) (neg.f32 (+.f32 u2 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 3))))
(+.f32 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 4) (neg.f32 (+.f32 u2 (*.f32 u2 (*.f32 (+.f32 (sqrt.f32 u1) 1) 3)))))
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(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 2 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1)))) -1/2)
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 2 (/.f32 1/2 (/.f32 1 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))))))
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (neg.f32 (+.f32 u2 u2)) (*.f32 (+.f32 (sqrt.f32 u1) 1) -1/2))
(*.f32 (+.f32 (sqrt.f32 u1) 1) (*.f32 (neg.f32 (+.f32 u2 u2)) -1/2))
(*.f32 -1/2 (*.f32 2 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1)))))
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (neg.f32 (+.f32 (sqrt.f32 u1) 1)) (neg.f32 u2))
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(/.f32 u2 (/.f32 1 (+.f32 (sqrt.f32 u1) 1)))
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(/.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 1)
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(/.f32 1 (/.f32 1 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))))
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))) -1)
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(/.f32 -1 (/.f32 1 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1)))))
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(/.f32 (+.f32 (sqrt.f32 u1) 1) (/.f32 1 u2))
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(/.f32 1/2 (/.f32 1 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 2)))
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(/.f32 1/2 (/.f32 -1 (*.f32 2 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))))))
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(/.f32 (+.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))) (neg.f32 (+.f32 u2 u2))) -1)
(neg.f32 (+.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))) (neg.f32 (+.f32 u2 u2))))
(+.f32 (-.f32 (*.f32 u2 (sqrt.f32 u1)) u2) (+.f32 u2 u2))
(/.f32 (+.f32 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))) (-.f32 u2 u2)) -1)
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(neg.f32 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))))
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(neg.f32 (*.f32 -1 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))))
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))
(neg.f32 (+.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))) (neg.f32 (+.f32 u2 u2))))
(+.f32 (-.f32 (*.f32 u2 (sqrt.f32 u1)) u2) (+.f32 u2 u2))
(neg.f32 (+.f32 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))) (-.f32 u2 u2)))
(*.f32 u2 (+.f32 (sqrt.f32 u1) 1))
(+.f32 u2 (*.f32 u2 (sqrt.f32 u1)))

localize57.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f32 u1 (-.f32 1 u1))
0.2b
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
✓0.4b
(*.f32 314159265359/50000000000 (-.f32 u2 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
✓6.2b
(-.f32 u2 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
Compiler

Compiled 65 to 41 computations (36.9% saved)

series2.0ms (0%)

Counts
2 → 40
Calls

12 calls:

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

rewrite85.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
928×rational.json-simplify-42
872×rational.json-simplify-47
814×rational.json-1
814×rational.json-2
814×rational.json-4
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01476
19876
237852
3205552
Stop Event
1×node limit
Counts
2 → 261
Calls
Call 1
Inputs
(-.f32 u2 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 314159265359/50000000000 (-.f32 u2 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
Outputs
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simplify161.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1088×rational.json-simplify-50
910×rational.json-simplify-24
602×rational.json-simplify-42
562×rational.json-simplify-1
500×rational.json-simplify-47
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063112725
1230811801
Stop Event
1×node limit
Counts
301 → 425
Calls
Call 1
Inputs
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 -1) u2)
(+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2)))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 u2 (+.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 (sqrt.f32 -1) u2))))
(*.f32 (sqrt.f32 -1) u2)
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)) (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) u2)))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/100000000000 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 -314159265359/100000000000 (/.f32 (*.f32 u2 (+.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 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/100000000000 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (*.f32 314159265359/100000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 314159265359/100000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)) (*.f32 942477796077/400000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2)))))
(+.f32 (*.f32 314159265359/160000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3))) (+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 314159265359/100000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)) (*.f32 942477796077/400000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))))))
(+.f32 u2 (-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) u2))
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(+.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 0)
(+.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 u2 u2))
(+.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))
(+.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 u2 u2)))
(+.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 0 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) u2)))
(+.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 0 (-.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 1 (*.f32 0 (-.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 0 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (-.f32 u2 u2) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(+.f32 (+.f32 u2 u2) (*.f32 u2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(+.f32 (+.f32 u2 u2) (-.f32 u2 (+.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 u2 u2))))
(+.f32 (+.f32 u2 u2) (*.f32 1 (-.f32 u2 (+.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 u2 u2)))))
(+.f32 (+.f32 u2 u2) (*.f32 1/2 (-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 u2 3)))))
(+.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (neg.f32 u2))
(+.f32 (neg.f32 u2) (+.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (neg.f32 u2) (*.f32 -1 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)) u2)))
(+.f32 (neg.f32 u2) (*.f32 -1 (-.f32 (neg.f32 u2) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (neg.f32 u2) (*.f32 -1 (-.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 u2 u2))))
(+.f32 (neg.f32 u2) (/.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)) u2) -1))
(+.f32 (neg.f32 u2) (/.f32 (-.f32 (neg.f32 u2) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) -1))
(+.f32 (neg.f32 u2) (/.f32 (-.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 u2 u2)) -1))
(+.f32 (-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) u2) u2)
(+.f32 (-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) u2) (*.f32 -1 (-.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (neg.f32 (*.f32 u2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))))
(+.f32 (-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) u2) (/.f32 (-.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (neg.f32 (*.f32 u2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))) -1))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)))
(+.f32 (+.f32 u2 (*.f32 u2 3)) (neg.f32 (+.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 u2 3))))
(+.f32 (+.f32 u2 (*.f32 u2 3)) (*.f32 1 (neg.f32 (+.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 u2 3)))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 u2 u2)) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 u2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (+.f32 u2 u2))
(+.f32 (neg.f32 (+.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 u2 3))) (+.f32 u2 (*.f32 u2 3)))
(+.f32 (*.f32 2 (neg.f32 u2)) (*.f32 -1 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)) (+.f32 u2 u2))))
(+.f32 (*.f32 2 (neg.f32 u2)) (/.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)) (+.f32 u2 u2)) -1))
(+.f32 (*.f32 0 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) u2)) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (-.f32 u2 (+.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 u2 u2))) (+.f32 u2 u2))
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(+.f32 (*.f32 u2 1/2) (*.f32 1/2 (*.f32 u2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(+.f32 (*.f32 u2 1/2) (*.f32 1/2 (*.f32 u2 (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))))
(+.f32 (*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2) (*.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1/2) (*.f32 1/2 (-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) u2)))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (-.f32 1 (-.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
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(-.f32 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/25000000000))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)))
(-.f32 (*.f32 u2 314159265359/25000000000) (*.f32 -314159265359/50000000000 (*.f32 u2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))
(-.f32 (*.f32 u2 -314159265359/50000000000) (-.f32 (*.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) -314159265359/50000000000) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/25000000000))))
(-.f32 (*.f32 u2 -314159265359/50000000000) (*.f32 -314159265359/50000000000 (+.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (*.f32 u2 -314159265359/50000000000) (*.f32 -314159265359/50000000000 (-.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)))))
(-.f32 (*.f32 u2 -314159265359/50000000000) (*.f32 -1 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000)))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000)) 0)
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000)) (-.f32 u2 u2))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 u2 u2)))
(-.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))) (*.f32 u2 314159265359/50000000000))
(-.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))) (*.f32 314159265359/50000000000 (-.f32 (*.f32 u2 3) (+.f32 u2 u2))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/25000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000)))
(-.f32 (*.f32 -314159265359/50000000000 (*.f32 u2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))) (-.f32 (*.f32 u2 314159265359/25000000000) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/25000000000))))
(-.f32 (*.f32 -314159265359/50000000000 (*.f32 u2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))) (*.f32 (-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) u2) -314159265359/25000000000))
(-.f32 (*.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) -314159265359/50000000000) (*.f32 u2 -314159265359/50000000000))
(-.f32 (*.f32 (+.f32 u2 (*.f32 u2 3)) 314159265359/50000000000) (+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (-.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (*.f32 u2 942477796077/50000000000)))
(-.f32 (*.f32 (+.f32 u2 (*.f32 u2 3)) 314159265359/50000000000) (*.f32 1 (+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (-.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (*.f32 u2 942477796077/50000000000))))
(-.f32 (+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (-.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (*.f32 u2 942477796077/50000000000)) (*.f32 314159265359/50000000000 (-.f32 (+.f32 u2 (*.f32 u2 3)) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))))
(-.f32 (*.f32 -314159265359/50000000000 (+.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (*.f32 -314159265359/50000000000 (-.f32 (*.f32 u2 3) (*.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2))))
(-.f32 (*.f32 (*.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2) -314159265359/50000000000) (*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))
(-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))) (*.f32 u2 -314159265359/25000000000))
(-.f32 (*.f32 u2 -314159265359/25000000000) (*.f32 -314159265359/50000000000 (+.f32 u2 (+.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000)) (*.f32 u2 942477796077/50000000000)) (*.f32 314159265359/50000000000 (-.f32 (+.f32 u2 u2) (neg.f32 u2))))
(-.f32 (*.f32 (+.f32 u2 u2) 314159265359/25000000000) (+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (-.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (*.f32 u2 942477796077/50000000000)))
(-.f32 (*.f32 (+.f32 u2 u2) 314159265359/25000000000) (*.f32 1 (+.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (-.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (*.f32 u2 942477796077/50000000000))))
(-.f32 (*.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) -314159265359/25000000000) (*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))
(-.f32 (/.f32 314159265359/12500000000 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 942477796077/50000000000))
(-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) -314159265359/50000000000) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)))
(-.f32 (*.f32 (+.f32 (+.f32 u2 (*.f32 u2 3)) (+.f32 u2 (*.f32 u2 3))) 314159265359/50000000000) (*.f32 314159265359/50000000000 (+.f32 (+.f32 u2 (*.f32 u2 3)) (+.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 u2 3)))))
(-.f32 (*.f32 (*.f32 (*.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2) 2) -314159265359/50000000000) (*.f32 -314159265359/50000000000 (+.f32 (neg.f32 (*.f32 u2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))) (*.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2))))
(-.f32 (*.f32 (*.f32 u2 (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) 314159265359/50000000000) (*.f32 u2 314159265359/25000000000))
(-.f32 (*.f32 (*.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2) 314159265359/50000000000) (*.f32 314159265359/50000000000 (+.f32 u2 (+.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(-.f32 (*.f32 (+.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 u2 3)) -314159265359/50000000000) (*.f32 -314159265359/50000000000 (+.f32 u2 (*.f32 u2 3))))
(-.f32 (*.f32 (*.f32 u2 314159265359/25000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000)))
(-.f32 (*.f32 (-.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2))) 314159265359/50000000000) (*.f32 u2 314159265359/50000000000))
(-.f32 (*.f32 (*.f32 2 (-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) u2)) 314159265359/50000000000) (*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))
(-.f32 (*.f32 (*.f32 u2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) 314159265359/50000000000) (*.f32 u2 -314159265359/25000000000))
(-.f32 (*.f32 (*.f32 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) 2) 314159265359/50000000000) (*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 942477796077/50000000000))
(-.f32 (*.f32 (-.f32 (*.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2) u2) -314159265359/50000000000) (*.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) -314159265359/50000000000))
(-.f32 (*.f32 (-.f32 (+.f32 u2 u2) (neg.f32 u2)) -314159265359/50000000000) (*.f32 -314159265359/50000000000 (+.f32 u2 (*.f32 u2 (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))))
(-.f32 (*.f32 (-.f32 (*.f32 u2 3) (+.f32 u2 u2)) -314159265359/50000000000) (*.f32 -314159265359/50000000000 (+.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (*.f32 (*.f32 (neg.f32 (*.f32 u2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))) 2) -314159265359/50000000000) (*.f32 -314159265359/50000000000 (+.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 u2 3))))
(-.f32 (*.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))) 1/2) (*.f32 1/2 (*.f32 u2 (*.f32 314159265359/50000000000 (-.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(-.f32 (*.f32 (*.f32 -314159265359/50000000000 (/.f32 (*.f32 u2 (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1))) -1)) 1/2) (*.f32 1/2 (*.f32 u2 -314159265359/50000000000)))
(-.f32 (*.f32 (*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 942477796077/50000000000) 1/2) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))))
(-.f32 (*.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))) 1/2) (*.f32 1/2 (*.f32 -314159265359/50000000000 (*.f32 u2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))))
(-.f32 (*.f32 (*.f32 u2 -314159265359/50000000000) -1) (*.f32 u2 (*.f32 314159265359/50000000000 (-.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (*.f32 (*.f32 -314159265359/50000000000 (*.f32 u2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))) -1) (*.f32 -1 (*.f32 u2 314159265359/25000000000)))
(-.f32 (*.f32 (*.f32 (-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) u2) -314159265359/25000000000) -1) (*.f32 -1 (*.f32 -314159265359/50000000000 (*.f32 u2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))))
(-.f32 (*.f32 (*.f32 u2 -314159265359/25000000000) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000)))
(/.f32 u2 (/.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 314159265359/50000000000))
(/.f32 u2 (/.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000)))
(/.f32 u2 (*.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 50000000000/314159265359))
(/.f32 1 (/.f32 50000000000/314159265359 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (*.f32 u2 314159265359/50000000000)))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (/.f32 1 u2) 50000000000/314159265359))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -1 (*.f32 u2 -314159265359/50000000000)))
(/.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 50000000000/314159265359)
(/.f32 314159265359/50000000000 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (*.f32 u2 314159265359/50000000000) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 -314159265359/50000000000 (/.f32 -1 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)) -50000000000/314159265359)
(/.f32 1/2 (/.f32 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 314159265359/25000000000))
(/.f32 1/2 (/.f32 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 314159265359/50000000000))
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 u2 314159265359/50000000000)))
(/.f32 1/2 (/.f32 (/.f32 1/2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000)))
(/.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/25000000000))))
(/.f32 1/2 (/.f32 -1 (+.f32 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)))))
(/.f32 (neg.f32 u2) (/.f32 -1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000)))
(/.f32 (neg.f32 u2) (*.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 50000000000/314159265359))
(/.f32 -1 (/.f32 1 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))))
(/.f32 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)) -1)
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (/.f32 1 u2) -314159265359/50000000000))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -1 (*.f32 u2 314159265359/50000000000)))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (/.f32 -1 u2) 50000000000/314159265359))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1 (*.f32 u2 -314159265359/50000000000)))
(/.f32 (*.f32 u2 -314159265359/50000000000) (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000)) 1)
(/.f32 314159265359/100000000000 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 314159265359/25000000000 (/.f32 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) (/.f32 1 u2))
(/.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 50000000000/314159265359) (/.f32 1 u2))
(/.f32 (/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 50000000000/314159265359) (/.f32 -1 u2))
(/.f32 (/.f32 (*.f32 u2 314159265359/50000000000) 2) (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) 2) (/.f32 1/2 u2))
(/.f32 (-.f32 (+.f32 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))) -1)
(neg.f32 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)))
Outputs
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 -1) u2)
(*.f32 u2 (sqrt.f32 -1))
(+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 u2 (sqrt.f32 -1)) (*.f32 -1/2 (/.f32 u2 (*.f32 u1 (sqrt.f32 -1)))))
(+.f32 (*.f32 u2 (sqrt.f32 -1)) (*.f32 u2 (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2)))
(+.f32 (+.f32 (*.f32 u2 (sqrt.f32 -1)) (*.f32 -1/2 (/.f32 u2 (*.f32 u1 (sqrt.f32 -1))))) (/.f32 (*.f32 (*.f32 u2 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) -1/2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))
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(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 u2 (+.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 (sqrt.f32 -1) u2))))
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(-.f32 (*.f32 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 u2 314159265359/50000000000)) (*.f32 u2 -314159265359/25000000000))
(-.f32 (*.f32 (*.f32 (-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) u2) -314159265359/25000000000) -1) (*.f32 -1 (*.f32 -314159265359/50000000000 (*.f32 u2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))))
(*.f32 -314159265359/50000000000 (+.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (-.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (neg.f32 (*.f32 u2 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))))
(-.f32 (*.f32 (-.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) u2) 314159265359/25000000000) (*.f32 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 u2 314159265359/50000000000)))
(-.f32 (*.f32 (*.f32 u2 -314159265359/25000000000) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000)))
(-.f32 (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 u2 -314159265359/25000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000)))
(-.f32 (*.f32 (neg.f32 (*.f32 u2 -314159265359/25000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000)))
(/.f32 u2 (/.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 314159265359/50000000000))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 u2 (/.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 u2 (*.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 50000000000/314159265359))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 1 (/.f32 50000000000/314159265359 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (*.f32 u2 314159265359/50000000000)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (/.f32 1 u2) 50000000000/314159265359))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -1 (*.f32 u2 -314159265359/50000000000)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 50000000000/314159265359)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 314159265359/50000000000 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 (*.f32 u2 314159265359/50000000000) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 -314159265359/50000000000 (/.f32 -1 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u2)) -50000000000/314159265359)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 1/2 (/.f32 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 314159265359/25000000000))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 1/2 (/.f32 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 314159265359/50000000000))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 u2 314159265359/50000000000)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 1/2 (/.f32 (/.f32 1/2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/25000000000))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 1/2 (/.f32 -1 (+.f32 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 (neg.f32 u2) (/.f32 -1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 (neg.f32 u2) (*.f32 (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 50000000000/314159265359))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 -1 (/.f32 1 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)) -1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (/.f32 1 u2) -314159265359/50000000000))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 -1 (*.f32 u2 314159265359/50000000000)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (/.f32 -1 u2) 50000000000/314159265359))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1 (*.f32 u2 -314159265359/50000000000)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 (*.f32 u2 -314159265359/50000000000) (/.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000)) 1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 314159265359/100000000000 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 314159265359/25000000000 (/.f32 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) (/.f32 1 u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 50000000000/314159265359) (/.f32 1 u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 (/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 50000000000/314159265359) (/.f32 -1 u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 (/.f32 (*.f32 u2 314159265359/50000000000) 2) (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) 2) (/.f32 1/2 u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(/.f32 (-.f32 (+.f32 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))) -1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(neg.f32 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))

localize83.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(/.f32 (sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1)))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
0.3b
(/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1))
0.4b
(/.f32 (/.f32 1 u2) 314159265359/50000000000)
0.9b
(-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1)))
Compiler

Compiled 124 to 50 computations (59.7% saved)

series1.0ms (0%)

Counts
1 → 20
Calls

6 calls:

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

rewrite60.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
1242×rational.json-1
1242×rational.json-2
1242×rational.json-4
1242×rational.json-3
792×rational.json-simplify-44
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01865
113529
259229
3328529
Stop Event
1×node limit
Counts
1 → 95
Calls
Call 1
Inputs
(/.f32 (sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1)))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
Outputs
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simplify86.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1344×rational.json-simplify-13
1094×rational.json-simplify-6
1070×rational.json-simplify-4
978×rational.json-simplify-14
718×rational.json-simplify-3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02354597
17144403
228584391
Stop Event
1×node limit
Counts
115 → 142
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/100000000000 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
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(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (*.f32 314159265359/100000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 314159265359/100000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)) (*.f32 942477796077/400000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2)))))
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(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 2 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 2 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 2 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 2 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 2 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 2 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 2 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 2 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 2 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 2 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 2 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 2 (/.f32 u1 (-.f32 1 u1))))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)) 0)
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(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)) (neg.f32 (*.f32 0 (/.f32 u2 50000000000/314159265359))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)) (-.f32 (*.f32 0 (/.f32 u2 50000000000/314159265359)) (*.f32 0 (/.f32 u2 50000000000/314159265359))))
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(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)) (/.f32 0 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)) (/.f32 0 (/.f32 100000000000/314159265359 u2)))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)) (/.f32 -1 (/.f32 (/.f32 50000000000/314159265359 u2) 0)))
(+.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)))
(+.f32 (*.f32 0 (/.f32 u2 50000000000/314159265359)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (/.f32 u2 50000000000/314159265359))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/25000000000)))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/25000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (/.f32 u2 50000000000/314159265359))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) u2) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)))
(+.f32 (neg.f32 (*.f32 0 (/.f32 u2 50000000000/314159265359))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)))
(+.f32 (-.f32 (*.f32 0 (/.f32 u2 50000000000/314159265359)) (*.f32 0 (/.f32 u2 50000000000/314159265359))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)))
(+.f32 (/.f32 0 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)))
(+.f32 (/.f32 0 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)))
(+.f32 (/.f32 0 (/.f32 100000000000/314159265359 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/100000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/100000000000)))
(+.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 100000000000/314159265359 u2)) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 100000000000/314159265359 u2)))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)) 0)
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)) (*.f32 0 (/.f32 u2 50000000000/314159265359)))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) u2) 0))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)) (neg.f32 (*.f32 0 (/.f32 u2 50000000000/314159265359))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)) (-.f32 (*.f32 0 (/.f32 u2 50000000000/314159265359)) (*.f32 0 (/.f32 u2 50000000000/314159265359))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)) (/.f32 0 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)) (/.f32 0 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)) (/.f32 0 (/.f32 100000000000/314159265359 u2)))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)) (/.f32 1 (/.f32 (neg.f32 (/.f32 50000000000/314159265359 u2)) 0)))
(-.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (/.f32 u2 50000000000/314159265359))))
(-.f32 (*.f32 0 (/.f32 u2 50000000000/314159265359)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (/.f32 u2 50000000000/314159265359))))
(-.f32 (*.f32 0 (/.f32 u2 50000000000/314159265359)) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (/.f32 50000000000/314159265359 u2))))
(-.f32 (*.f32 0 (/.f32 u2 50000000000/314159265359)) (/.f32 1 (/.f32 (/.f32 50000000000/314159265359 u2) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (*.f32 0 (/.f32 u2 50000000000/314159265359)) (/.f32 1 (/.f32 (neg.f32 (/.f32 1 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/25000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)))
(-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 u2 314159265359/25000000000)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)) 3))
(-.f32 (+.f32 (*.f32 0 (/.f32 u2 50000000000/314159265359)) (*.f32 0 (/.f32 u2 50000000000/314159265359))) (+.f32 (*.f32 0 (/.f32 u2 50000000000/314159265359)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (/.f32 u2 50000000000/314159265359)))))
(-.f32 (+.f32 (*.f32 0 (/.f32 u2 50000000000/314159265359)) (*.f32 0 (/.f32 u2 50000000000/314159265359))) (+.f32 (*.f32 0 (/.f32 u2 50000000000/314159265359)) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (/.f32 50000000000/314159265359 u2)))))
(-.f32 (+.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 u2 314159265359/25000000000)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 u2 314159265359/25000000000))) (+.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 u2 314159265359/25000000000)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)) 3)))
(*.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(*.f32 u2 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 50000000000/314159265359))
(*.f32 u2 (/.f32 1 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) u2))
(*.f32 314159265359/50000000000 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 1/2)) 2))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)) 1)
(*.f32 (/.f32 u2 50000000000/314159265359) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 2 (/.f32 1/2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 2 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359)) (/.f32 1/2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/25000000000)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 u2 314159265359/100000000000))
(*.f32 (*.f32 u2 314159265359/100000000000) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(*.f32 -1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (/.f32 u2 50000000000/314159265359))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) u2) 314159265359/50000000000)
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (/.f32 u2 50000000000/314159265359)))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 (/.f32 u2 50000000000/314159265359) (*.f32 u2 314159265359/25000000000)))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 (/.f32 u2 50000000000/314159265359) (/.f32 (+.f32 u2 u2) 50000000000/314159265359)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (/.f32 u2 50000000000/314159265359))) -1)
(*.f32 (neg.f32 u2) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000)))
(*.f32 (neg.f32 u2) (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/25000000000)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 1/2)) 314159265359/25000000000)
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) u2)
(*.f32 -1/2 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (/.f32 u2 50000000000/314159265359))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (/.f32 u2 50000000000/314159265359)))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/25000000000)) 1/2)
(*.f32 (+.f32 u2 u2) (/.f32 1/2 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 314159265359/25000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 1/2)))
(*.f32 (*.f32 u2 1/2) (/.f32 314159265359/25000000000 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (*.f32 u2 1/2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/25000000000))
(*.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 50000000000/314159265359) u2)
(*.f32 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (neg.f32 (*.f32 u2 314159265359/100000000000)))
(*.f32 (neg.f32 (/.f32 u2 50000000000/314159265359)) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (neg.f32 (*.f32 u2 314159265359/100000000000)) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(*.f32 (/.f32 1/2 (/.f32 100000000000/314159265359 u2)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2))
(*.f32 (/.f32 1 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) u2)
(*.f32 (/.f32 314159265359/25000000000 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 u2 1/2))
(*.f32 (*.f32 u2 314159265359/25000000000) (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (*.f32 u2 314159265359/25000000000) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (/.f32 1/2 (/.f32 100000000000/314159265359 u2)))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (-.f32 (*.f32 u2 314159265359/100000000000) (/.f32 1/2 (/.f32 100000000000/314159265359 u2))))
(*.f32 (+.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 1/2 (neg.f32 (/.f32 50000000000/314159265359 u2))))
(*.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (/.f32 u2 50000000000/314159265359))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (/.f32 u2 50000000000/314159265359)))) -1/2)
(*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 1/2)) 2) 314159265359/50000000000)
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/25000000000) (*.f32 u2 1/2))
(*.f32 (/.f32 1/2 (neg.f32 (/.f32 50000000000/314159265359 u2))) (+.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (/.f32 1/2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)
(*.f32 (/.f32 1/2 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 u2 u2))
(*.f32 (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 u2 314159265359/25000000000))
(neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (/.f32 u2 50000000000/314159265359))))
(neg.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (/.f32 50000000000/314159265359 u2))))
(neg.f32 (/.f32 (neg.f32 u2) (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
Outputs
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(*.f32 (neg.f32 u2) (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/25000000000)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 1/2)) 314159265359/25000000000)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) u2)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 -1/2 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (/.f32 u2 50000000000/314159265359))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (/.f32 u2 50000000000/314159265359)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/25000000000)) 1/2)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (+.f32 u2 u2) (/.f32 1/2 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/25000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 1/2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 u2 1/2) (/.f32 314159265359/25000000000 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 u2 1/2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/25000000000))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 50000000000/314159265359) u2)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (neg.f32 (*.f32 u2 314159265359/100000000000)))
(*.f32 (neg.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (neg.f32 (*.f32 u2 314159265359/100000000000)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -2) (*.f32 u2 -314159265359/100000000000))
(*.f32 (neg.f32 (/.f32 u2 50000000000/314159265359)) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (neg.f32 (*.f32 u2 314159265359/100000000000)) (neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(*.f32 (neg.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (neg.f32 (*.f32 u2 314159265359/100000000000)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -2) (*.f32 u2 -314159265359/100000000000))
(*.f32 (/.f32 1/2 (/.f32 100000000000/314159265359 u2)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2))
(*.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (/.f32 u2 200000000000/314159265359) 2))
(*.f32 (/.f32 u2 200000000000/314159265359) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 4))
(*.f32 (/.f32 1 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) u2)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (/.f32 314159265359/25000000000 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 u2 1/2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 u2 314159265359/25000000000) (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 u2 314159265359/25000000000) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (/.f32 1/2 (/.f32 100000000000/314159265359 u2)))
(*.f32 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (/.f32 u2 200000000000/314159265359) 2))
(*.f32 (/.f32 u2 200000000000/314159265359) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 4))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (-.f32 (*.f32 u2 314159265359/100000000000) (/.f32 1/2 (/.f32 100000000000/314159265359 u2))))
(*.f32 (*.f32 2 (*.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (-.f32 (*.f32 u2 314159265359/100000000000) (/.f32 u2 200000000000/314159265359)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 4) (-.f32 (*.f32 u2 314159265359/100000000000) (/.f32 u2 200000000000/314159265359)))
(*.f32 (+.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 1/2 (neg.f32 (/.f32 50000000000/314159265359 u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (/.f32 u2 50000000000/314159265359))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (/.f32 u2 50000000000/314159265359)))) -1/2)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 1/2)) 2) 314159265359/50000000000)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/25000000000) (*.f32 u2 1/2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (/.f32 1/2 (neg.f32 (/.f32 50000000000/314159265359 u2))) (+.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (/.f32 1/2 (/.f32 (/.f32 50000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (/.f32 1/2 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 u2 u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 u2 314159265359/25000000000))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (/.f32 u2 50000000000/314159265359))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(neg.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (/.f32 50000000000/314159265359 u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(neg.f32 (/.f32 (neg.f32 u2) (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u2 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))

eval1.0s (5.2%)

Compiler

Compiled 55645 to 36037 computations (35.2% saved)

prune1.0s (5.4%)

Pruning

104 alts after pruning (94 fresh and 10 done)

PrunedKeptTotal
New2523492572
Fresh184563
Picked101
Done01010
Total25421042646
Error
0.0b
Counts
2646 → 104
Alt Table
Click to see full alt table
StatusErrorProgram
11.3b
(/.f32 (/.f32 (sqrt.f32 u1) 50000000000/314159265359) (/.f32 1 u2))
6.0b
(/.f32 (/.f32 1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
0.8b
(/.f32 (-.f32 (+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (sin.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
14.7b
(/.f32 (-.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) (+.f32 u2 u2)) 50000000000/314159265359)
11.3b
(/.f32 (-.f32 (*.f32 u2 3) (*.f32 2 (+.f32 u2 u2))) (/.f32 -50000000000/314159265359 (sqrt.f32 u1)))
11.3b
(/.f32 (*.f32 u2 (sqrt.f32 u1)) 50000000000/314159265359)
5.9b
(/.f32 (*.f32 u2 314159265359/50000000000) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
11.3b
(/.f32 (*.f32 u2 314159265359/50000000000) (/.f32 1 (sqrt.f32 u1)))
✓5.9b
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
5.9b
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (*.f32 u2 314159265359/50000000000)))
0.6b
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000))))
6.1b
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (-.f32 (/.f32 100000000000/314159265359 u2) (/.f32 -50000000000/314159265359 u2)) (/.f32 100000000000/314159265359 u2)))
6.0b
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (/.f32 100000000000/314159265359 u2) (*.f32 50000000000/314159265359 (/.f32 -1 u2))))
6.1b
(/.f32 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (*.f32 (+.f32 u1 u1) (/.f32 3/2 (-.f32 1 u1))))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
11.3b
(/.f32 (sqrt.f32 u1) (/.f32 1 (*.f32 314159265359/50000000000 u2)))
11.3b
(/.f32 (sqrt.f32 u1) (*.f32 (/.f32 1 u2) 50000000000/314159265359))
0.5b
(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
11.3b
(/.f32 (neg.f32 u2) (/.f32 (/.f32 -1 (sqrt.f32 u1)) 314159265359/50000000000))
11.3b
(/.f32 (neg.f32 u2) (/.f32 -1 (*.f32 314159265359/50000000000 (sqrt.f32 u1))))
6.0b
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
✓11.3b
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 u1)))
11.3b
(/.f32 u2 (*.f32 (/.f32 1 (sqrt.f32 u1)) 50000000000/314159265359))
6.0b
(/.f32 314159265359/50000000000 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
11.3b
(/.f32 314159265359/50000000000 (/.f32 1 (*.f32 u2 (sqrt.f32 u1))))
11.3b
(/.f32 1 (/.f32 50000000000/314159265359 (*.f32 u2 (sqrt.f32 u1))))
1.0b
(/.f32 1/2 (/.f32 (/.f32 1/2 (sin.f32 (-.f32 (+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 314159265359/25000000000)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 u2 314159265359/25000000000))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
3.8b
(/.f32 1/2 (/.f32 (+.f32 (*.f32 u2 314159265359/600000000000) (/.f32 25000000000/314159265359 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
3.9b
(/.f32 1/2 (/.f32 (+.f32 (*.f32 314159265359/600000000000 u2) (*.f32 25000000000/314159265359 (/.f32 1 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
5.9b
(/.f32 1/2 (/.f32 1 (*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 314159265359/25000000000)))
0.7b
(/.f32 1/2 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 1/2 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
6.0b
(/.f32 1/2 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 25000000000/314159265359 u2)))
6.1b
(/.f32 1/2 (*.f32 25000000000/314159265359 (*.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
13.8b
(-.f32 (-.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) (*.f32 u2 -314159265359/100000000000)) (*.f32 u2 314159265359/100000000000))
1.3b
(-.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))
14.7b
(-.f32 (*.f32 u2 (+.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) 314159265359/25000000000)) (*.f32 u2 314159265359/25000000000))
14.8b
(-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (+.f32 (sqrt.f32 u1) 2))) (*.f32 u2 314159265359/25000000000))
14.3b
(-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (+.f32 (sqrt.f32 u1) -1))) (*.f32 u2 -314159265359/50000000000))
14.4b
(-.f32 (*.f32 u2 (*.f32 -314159265359/50000000000 (-.f32 -1 (sqrt.f32 u1)))) (*.f32 u2 314159265359/50000000000))
14.8b
(-.f32 (*.f32 u2 314159265359/25000000000) (*.f32 314159265359/50000000000 (+.f32 u2 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))))))
14.3b
(-.f32 (*.f32 u2 314159265359/50000000000) (/.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 50000000000/314159265359))
14.8b
(-.f32 (*.f32 u2 -314159265359/25000000000) (*.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) -314159265359/50000000000))
13.2b
(-.f32 u2 (-.f32 u2 (*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))))
8.3b
(-.f32 u2 (-.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))))
14.2b
(+.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))) (/.f32 u2 -50000000000/314159265359))
14.5b
(+.f32 (*.f32 u2 (*.f32 -314159265359/50000000000 (-.f32 -1 (sqrt.f32 u1)))) (/.f32 -1 (/.f32 50000000000/314159265359 u2)))
14.8b
(+.f32 (*.f32 u2 314159265359/25000000000) (/.f32 (-.f32 (*.f32 u2 (sqrt.f32 u1)) (+.f32 u2 u2)) 50000000000/314159265359))
5.9b
(*.f32 (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 u2 314159265359/25000000000))
11.3b
(*.f32 (-.f32 (/.f32 u2 -50000000000/314159265359) (neg.f32 (*.f32 u2 314159265359/25000000000))) (sqrt.f32 u1))
6.0b
(*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (-.f32 (*.f32 u2 314159265359/100000000000) (/.f32 1/2 (/.f32 100000000000/314159265359 u2))))
5.9b
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) u2)
11.2b
(*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) u2)
5.9b
(*.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
11.3b
(*.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 u1))
✓0.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
6.0b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (/.f32 50000000000/314159265359 u2)))
3.9b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 (*.f32 u2 314159265359/300000000000) (/.f32 50000000000/314159265359 u2))))
3.9b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 (*.f32 314159265359/300000000000 u2) (*.f32 50000000000/314159265359 (/.f32 1 u2)))))
0.9b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 4) (*.f32 3 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
0.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (/.f32 u2 50000000000/314159265359)))
✓0.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
0.7b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (/.f32 1 (/.f32 50000000000/314159265359 u2))))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359))))
1.0b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (+.f32 (*.f32 u2 942477796077/50000000000) (*.f32 u2 -314159265359/25000000000))))
1.8b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (+.f32 (*.f32 u2 -314159265359/12500000000) (*.f32 u2 314159265359/10000000000))))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.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)))) (sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359))))
0.8b
(*.f32 (sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.6b
(*.f32 (sqrt.f32 (-.f32 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (+.f32 2 (/.f32 u1 -1/2))) (/.f32 u1 (/.f32 (-.f32 1 u1) 1/2)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
6.0b
(*.f32 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (*.f32 (/.f32 u1 (+.f32 u1 -1)) -3))) (*.f32 314159265359/50000000000 u2))
0.6b
(*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (+.f32 -1 u1)) (/.f32 2 (/.f32 (-.f32 1 u1) u1)))) (sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359))))
7.8b
(*.f32 (sqrt.f32 u1) (sin.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
7.8b
(*.f32 (sqrt.f32 u1) (sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359))))
7.8b
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
11.3b
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 u2 -50000000000/314159265359))
11.3b
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 1 (/.f32 -50000000000/314159265359 u2)))
11.3b
(*.f32 (neg.f32 u2) (/.f32 -1 (/.f32 50000000000/314159265359 (sqrt.f32 u1))))
11.3b
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
14.0b
(*.f32 u2 (-.f32 (+.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) 314159265359/50000000000))
10.3b
(*.f32 u2 (-.f32 314159265359/25000000000 (*.f32 314159265359/50000000000 (-.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
9.5b
(*.f32 u2 (-.f32 -314159265359/50000000000 (+.f32 -314159265359/50000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))))
14.4b
(*.f32 u2 (-.f32 -314159265359/25000000000 (+.f32 -314159265359/25000000000 (*.f32 -314159265359/50000000000 (sqrt.f32 u1)))))
10.2b
(*.f32 u2 (+.f32 314159265359/25000000000 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) 314159265359/25000000000)))
11.4b
(*.f32 314159265359/50000000000 (/.f32 (-.f32 (neg.f32 (*.f32 u2 3)) (neg.f32 (*.f32 (+.f32 u2 u2) 2))) (/.f32 1 (sqrt.f32 u1))))
11.3b
(*.f32 314159265359/50000000000 (/.f32 (sqrt.f32 u1) (/.f32 1 u2)))
11.3b
(*.f32 314159265359/50000000000 (/.f32 u2 (/.f32 1 (sqrt.f32 u1))))
6.0b
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 1 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
11.3b
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 1 (*.f32 u2 (sqrt.f32 u1)))))
14.5b
(*.f32 314159265359/50000000000 (-.f32 (/.f32 (+.f32 (sqrt.f32 u1) 1) (/.f32 1 u2)) u2))
14.5b
(*.f32 314159265359/50000000000 (-.f32 (/.f32 -1 (/.f32 1 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))))) u2))
✓14.1b
(*.f32 314159265359/50000000000 (-.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) u2))
14.3b
(*.f32 314159265359/50000000000 (-.f32 (*.f32 (+.f32 (sqrt.f32 u1) 1) u2) u2))
✓9.6b
(*.f32 314159265359/50000000000 (-.f32 u2 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
29.7b
(*.f32 314159265359/50000000000 (-.f32 u2 u2))
14.5b
(*.f32 314159265359/50000000000 (+.f32 (-.f32 (*.f32 u2 (sqrt.f32 u1)) (+.f32 u2 u2)) (+.f32 u2 u2)))
9.7b
(*.f32 314159265359/50000000000 (+.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (neg.f32 u2)))
14.8b
(*.f32 314159265359/50000000000 (+.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) (/.f32 -1 (/.f32 1/2 u2))))
13.8b
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1 (+.f32 (sqrt.f32 u1) -1)) u2))
11.3b
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 u2 3) (+.f32 u2 u2))))
9.3b
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 1 (-.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
14.3b
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 (+.f32 (sqrt.f32 u1) 1) -1)))
✓5.9b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
5.9b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1)))))
✓11.3b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
0.9b
(*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (-.f32 (*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
Compiler

Compiled 1667 to 1308 computations (21.5% saved)

regimes762.0ms (3.9%)

Counts
152 → 1
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (-.f32 u2 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 u1))
(*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) u2)
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) 50000000000/314159265359)
(neg.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 u2 -50000000000/314159265359))
(*.f32 314159265359/50000000000 (/.f32 u2 (/.f32 1 (sqrt.f32 u1))))
(*.f32 314159265359/50000000000 (/.f32 (sqrt.f32 u1) (/.f32 1 u2)))
(/.f32 1 (/.f32 50000000000/314159265359 (*.f32 u2 (sqrt.f32 u1))))
(/.f32 314159265359/100000000000 (/.f32 (/.f32 1/2 u2) (sqrt.f32 u1)))
(/.f32 314159265359/50000000000 (/.f32 1 (*.f32 u2 (sqrt.f32 u1))))
(/.f32 u2 (*.f32 (/.f32 1 (sqrt.f32 u1)) 50000000000/314159265359))
(/.f32 (sqrt.f32 u1) (*.f32 (/.f32 1 u2) 50000000000/314159265359))
(/.f32 (sqrt.f32 u1) (/.f32 1 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 u2 -314159265359/50000000000) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 314159265359/50000000000) (/.f32 1 (sqrt.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) (/.f32 -1 u2))
(/.f32 (/.f32 (sqrt.f32 u1) 50000000000/314159265359) (/.f32 1 u2))
(*.f32 (neg.f32 u2) (/.f32 -1 (/.f32 50000000000/314159265359 (sqrt.f32 u1))))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 1 (/.f32 -50000000000/314159265359 u2)))
(/.f32 (neg.f32 u2) (/.f32 -1 (*.f32 314159265359/50000000000 (sqrt.f32 u1))))
(/.f32 (neg.f32 u2) (/.f32 (/.f32 -1 (sqrt.f32 u1)) 314159265359/50000000000))
(/.f32 (/.f32 (neg.f32 u2) 50000000000/314159265359) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) 50000000000/314159265359) (/.f32 -1 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 (+.f32 (sqrt.f32 u1) 1) -1)))
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1 (+.f32 (sqrt.f32 u1) -1)) u2))
(*.f32 314159265359/50000000000 (-.f32 (*.f32 (+.f32 (sqrt.f32 u1) 1) u2) u2))
(*.f32 314159265359/50000000000 (-.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) u2))
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 1 (*.f32 u2 (sqrt.f32 u1)))))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (-.f32 -314159265359/25000000000 (+.f32 -314159265359/25000000000 (*.f32 -314159265359/50000000000 (sqrt.f32 u1)))))
(*.f32 u2 (-.f32 (+.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) 314159265359/50000000000))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) u2)
(*.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) u2)
(+.f32 u2 (-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) u2))
(-.f32 u2 (-.f32 u2 (*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))))
(/.f32 1/2 (/.f32 (/.f32 (/.f32 1/2 u2) (sqrt.f32 u1)) 314159265359/50000000000))
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (-.f32 (/.f32 u2 -50000000000/314159265359) (neg.f32 (*.f32 u2 314159265359/25000000000))) (sqrt.f32 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1)))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 u2 3) (+.f32 u2 u2))))
(*.f32 314159265359/50000000000 (-.f32 (/.f32 (+.f32 (sqrt.f32 u1) 1) (/.f32 1 u2)) u2))
(*.f32 314159265359/50000000000 (/.f32 u2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 u2 (/.f32 1 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (/.f32 50000000000/314159265359 u2)))
(+.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))) (/.f32 u2 -50000000000/314159265359))
(-.f32 (*.f32 u2 -314159265359/25000000000) (*.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) -314159265359/50000000000))
(-.f32 (*.f32 u2 314159265359/50000000000) (/.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 50000000000/314159265359))
(-.f32 (*.f32 u2 (*.f32 -314159265359/50000000000 (-.f32 -1 (sqrt.f32 u1)))) (*.f32 u2 314159265359/50000000000))
(-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (+.f32 (sqrt.f32 u1) -1))) (*.f32 u2 -314159265359/50000000000))
(-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (+.f32 (sqrt.f32 u1) 2))) (*.f32 u2 314159265359/25000000000))
(-.f32 (*.f32 u2 (+.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) 314159265359/25000000000)) (*.f32 u2 314159265359/25000000000))
(/.f32 1/2 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 25000000000/314159265359 u2)))
(/.f32 1/2 (/.f32 (/.f32 25000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 314159265359/100000000000 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 314159265359/50000000000 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (*.f32 314159265359/50000000000 u2)))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (*.f32 u2 314159265359/50000000000)))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(/.f32 (*.f32 314159265359/50000000000 u2) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (*.f32 u2 314159265359/50000000000) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (-.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) (+.f32 u2 u2)) 50000000000/314159265359)
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 1 (-.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 2 (+.f32 u2 u2)) (*.f32 u2 3))))
(*.f32 314159265359/50000000000 (+.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) (/.f32 -1 (/.f32 1/2 u2))))
(*.f32 314159265359/50000000000 (+.f32 (-.f32 (*.f32 u2 (sqrt.f32 u1)) (+.f32 u2 u2)) (+.f32 u2 u2)))
(*.f32 314159265359/50000000000 (-.f32 u2 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (-.f32 (/.f32 -1 (/.f32 1 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))))) u2))
(*.f32 314159265359/50000000000 (/.f32 1/2 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 1 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 u2 (+.f32 314159265359/25000000000 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) 314159265359/25000000000)))
(*.f32 u2 (-.f32 -314159265359/50000000000 (+.f32 -314159265359/50000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))))
(*.f32 u2 (-.f32 314159265359/25000000000 (*.f32 314159265359/50000000000 (-.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 u2 314159265359/25000000000))
(+.f32 u2 (-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) u2))
(+.f32 (*.f32 u2 314159265359/25000000000) (/.f32 (-.f32 (*.f32 u2 (sqrt.f32 u1)) (+.f32 u2 u2)) 50000000000/314159265359))
(+.f32 (*.f32 u2 (*.f32 -314159265359/50000000000 (-.f32 -1 (sqrt.f32 u1)))) (/.f32 -1 (/.f32 50000000000/314159265359 u2)))
(-.f32 u2 (-.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))))
(-.f32 (*.f32 u2 314159265359/25000000000) (*.f32 314159265359/50000000000 (+.f32 u2 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))))))
(-.f32 (-.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) (*.f32 u2 -314159265359/100000000000)) (*.f32 u2 314159265359/100000000000))
(/.f32 1/2 (*.f32 25000000000/314159265359 (*.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(/.f32 1/2 (/.f32 1 (*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 314159265359/25000000000)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 314159265359/50000000000 u2)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 314159265359/50000000000))
(/.f32 (-.f32 (*.f32 u2 3) (*.f32 2 (+.f32 u2 u2))) (/.f32 -50000000000/314159265359 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (+.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (neg.f32 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 (*.f32 u2 314159265359/300000000000) (/.f32 50000000000/314159265359 u2))))
(/.f32 1/2 (/.f32 (+.f32 (*.f32 u2 314159265359/600000000000) (/.f32 25000000000/314159265359 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (/.f32 100000000000/314159265359 u2) (*.f32 50000000000/314159265359 (/.f32 -1 u2))))
(/.f32 (/.f32 1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (/.f32 (-.f32 (neg.f32 (*.f32 u2 3)) (neg.f32 (*.f32 (+.f32 u2 u2) 2))) (/.f32 1 (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 (*.f32 314159265359/300000000000 u2) (*.f32 50000000000/314159265359 (/.f32 1 u2)))))
(/.f32 1/2 (/.f32 (+.f32 (*.f32 314159265359/600000000000 u2) (*.f32 25000000000/314159265359 (/.f32 1 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (-.f32 (/.f32 100000000000/314159265359 u2) (/.f32 -50000000000/314159265359 u2)) (/.f32 100000000000/314159265359 u2)))
(*.f32 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (*.f32 (/.f32 u1 (+.f32 u1 -1)) -3))) (*.f32 314159265359/50000000000 u2))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (-.f32 (*.f32 u2 314159265359/100000000000) (/.f32 1/2 (/.f32 100000000000/314159265359 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (-.f32 (+.f32 u1 (*.f32 (+.f32 u1 u1) 2)) (*.f32 (+.f32 u1 u1) 2)) (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (/.f32 (-.f32 (+.f32 u2 (+.f32 u2 (+.f32 u2 u2))) (+.f32 u2 (+.f32 u2 u2))) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (*.f32 (+.f32 u1 u1) (/.f32 3/2 (-.f32 1 u1))))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1))))))
(/.f32 (sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1)))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359))))
(*.f32 (sqrt.f32 u1) (sin.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (/.f32 u2 50000000000/314159265359)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (/.f32 1 (/.f32 50000000000/314159265359 u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (+.f32 (*.f32 u2 -314159265359/12500000000) (*.f32 u2 314159265359/10000000000))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (+.f32 (*.f32 u2 942477796077/50000000000) (*.f32 u2 -314159265359/25000000000))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (-.f32 u2 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (/.f32 1 (/.f32 -50000000000/264159265359 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (/.f32 1/2 (/.f32 (/.f32 1/2 u2) 314159265359/50000000000))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(/.f32 1/2 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 1/2 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(/.f32 1/2 (/.f32 (/.f32 1/2 (sin.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)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 1 (/.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 -1/2 (-.f32 (*.f32 u2 942477796077/50000000000) (*.f32 u2 314159265359/10000000000)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (/.f32 1 (/.f32 (/.f32 1 u2) -264159265359/50000000000)))))
(*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (+.f32 -1 u1)) (/.f32 2 (/.f32 (-.f32 1 u1) u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 u2 314159265359/25000000000)) (*.f32 u2 314159265359/25000000000))))
(*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (+.f32 -1 u1)) (/.f32 2 (/.f32 (-.f32 1 u1) u1)))) (sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 (+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 314159265359/25000000000)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 u2 314159265359/25000000000)))))
(*.f32 (sqrt.f32 (-.f32 (/.f32 (+.f32 u1 (+.f32 u1 u1)) (+.f32 2 (/.f32 u1 -1/2))) (/.f32 u1 (/.f32 (-.f32 1 u1) 1/2)))) (sin.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)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (sin.f32 (-.f32 (+.f32 (*.f32 u2 314159265359/25000000000) (*.f32 u2 314159265359/25000000000)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 u2 314159265359/25000000000))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1)))) (sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359))))
(-.f32 (/.f32 (+.f32 u2 (+.f32 u2 (+.f32 u2 u2))) (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 (+.f32 u2 (+.f32 u2 u2)) (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 4) (*.f32 3 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (-.f32 (*.f32 3 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(/.f32 (-.f32 (+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (sin.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))
(-.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(-.f32 (/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 (+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359))))
Calls

8 calls:

147.0ms
(/.f32 u1 (-.f32 1 u1))
110.0ms
u2
95.0ms
u1
78.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
73.0ms
(*.f32 314159265359/50000000000 u2)
Results
ErrorSegmentsBranch
0.5b1cosTheta_i
0.5b1u1
0.5b1u2
0.5b1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.5b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
0.5b1(/.f32 u1 (-.f32 1 u1))
0.5b1(sin.f32 (*.f32 314159265359/50000000000 u2))
0.5b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 2185 to 1503 computations (31.2% saved)

regimes486.0ms (2.5%)

Counts
115 → 1
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (-.f32 u2 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 u1))
(*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) u2)
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) 50000000000/314159265359)
(neg.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 u2 -50000000000/314159265359))
(*.f32 314159265359/50000000000 (/.f32 u2 (/.f32 1 (sqrt.f32 u1))))
(*.f32 314159265359/50000000000 (/.f32 (sqrt.f32 u1) (/.f32 1 u2)))
(/.f32 1 (/.f32 50000000000/314159265359 (*.f32 u2 (sqrt.f32 u1))))
(/.f32 314159265359/100000000000 (/.f32 (/.f32 1/2 u2) (sqrt.f32 u1)))
(/.f32 314159265359/50000000000 (/.f32 1 (*.f32 u2 (sqrt.f32 u1))))
(/.f32 u2 (*.f32 (/.f32 1 (sqrt.f32 u1)) 50000000000/314159265359))
(/.f32 (sqrt.f32 u1) (*.f32 (/.f32 1 u2) 50000000000/314159265359))
(/.f32 (sqrt.f32 u1) (/.f32 1 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 u2 -314159265359/50000000000) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 314159265359/50000000000) (/.f32 1 (sqrt.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) (/.f32 -1 u2))
(/.f32 (/.f32 (sqrt.f32 u1) 50000000000/314159265359) (/.f32 1 u2))
(*.f32 (neg.f32 u2) (/.f32 -1 (/.f32 50000000000/314159265359 (sqrt.f32 u1))))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 1 (/.f32 -50000000000/314159265359 u2)))
(/.f32 (neg.f32 u2) (/.f32 -1 (*.f32 314159265359/50000000000 (sqrt.f32 u1))))
(/.f32 (neg.f32 u2) (/.f32 (/.f32 -1 (sqrt.f32 u1)) 314159265359/50000000000))
(/.f32 (/.f32 (neg.f32 u2) 50000000000/314159265359) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) 50000000000/314159265359) (/.f32 -1 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 (+.f32 (sqrt.f32 u1) 1) -1)))
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1 (+.f32 (sqrt.f32 u1) -1)) u2))
(*.f32 314159265359/50000000000 (-.f32 (*.f32 (+.f32 (sqrt.f32 u1) 1) u2) u2))
(*.f32 314159265359/50000000000 (-.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) u2))
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 1 (*.f32 u2 (sqrt.f32 u1)))))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (-.f32 -314159265359/25000000000 (+.f32 -314159265359/25000000000 (*.f32 -314159265359/50000000000 (sqrt.f32 u1)))))
(*.f32 u2 (-.f32 (+.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) 314159265359/50000000000))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) u2)
(*.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) u2)
(+.f32 u2 (-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) u2))
(-.f32 u2 (-.f32 u2 (*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))))
(/.f32 1/2 (/.f32 (/.f32 (/.f32 1/2 u2) (sqrt.f32 u1)) 314159265359/50000000000))
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (-.f32 (/.f32 u2 -50000000000/314159265359) (neg.f32 (*.f32 u2 314159265359/25000000000))) (sqrt.f32 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1)))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 u2 3) (+.f32 u2 u2))))
(*.f32 314159265359/50000000000 (-.f32 (/.f32 (+.f32 (sqrt.f32 u1) 1) (/.f32 1 u2)) u2))
(*.f32 314159265359/50000000000 (/.f32 u2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 u2 (/.f32 1 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (/.f32 50000000000/314159265359 u2)))
(+.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))) (/.f32 u2 -50000000000/314159265359))
(-.f32 (*.f32 u2 -314159265359/25000000000) (*.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) -314159265359/50000000000))
(-.f32 (*.f32 u2 314159265359/50000000000) (/.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 50000000000/314159265359))
(-.f32 (*.f32 u2 (*.f32 -314159265359/50000000000 (-.f32 -1 (sqrt.f32 u1)))) (*.f32 u2 314159265359/50000000000))
(-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (+.f32 (sqrt.f32 u1) -1))) (*.f32 u2 -314159265359/50000000000))
(-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (+.f32 (sqrt.f32 u1) 2))) (*.f32 u2 314159265359/25000000000))
(-.f32 (*.f32 u2 (+.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) 314159265359/25000000000)) (*.f32 u2 314159265359/25000000000))
(/.f32 1/2 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 25000000000/314159265359 u2)))
(/.f32 1/2 (/.f32 (/.f32 25000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 314159265359/100000000000 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 314159265359/50000000000 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (*.f32 314159265359/50000000000 u2)))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (*.f32 u2 314159265359/50000000000)))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(/.f32 (*.f32 314159265359/50000000000 u2) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (*.f32 u2 314159265359/50000000000) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (-.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) (+.f32 u2 u2)) 50000000000/314159265359)
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 1 (-.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 2 (+.f32 u2 u2)) (*.f32 u2 3))))
(*.f32 314159265359/50000000000 (+.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) (/.f32 -1 (/.f32 1/2 u2))))
(*.f32 314159265359/50000000000 (+.f32 (-.f32 (*.f32 u2 (sqrt.f32 u1)) (+.f32 u2 u2)) (+.f32 u2 u2)))
(*.f32 314159265359/50000000000 (-.f32 u2 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (-.f32 (/.f32 -1 (/.f32 1 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))))) u2))
(*.f32 314159265359/50000000000 (/.f32 1/2 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 1 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 u2 (+.f32 314159265359/25000000000 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) 314159265359/25000000000)))
(*.f32 u2 (-.f32 -314159265359/50000000000 (+.f32 -314159265359/50000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))))
(*.f32 u2 (-.f32 314159265359/25000000000 (*.f32 314159265359/50000000000 (-.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 u2 314159265359/25000000000))
(+.f32 u2 (-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) u2))
(+.f32 (*.f32 u2 314159265359/25000000000) (/.f32 (-.f32 (*.f32 u2 (sqrt.f32 u1)) (+.f32 u2 u2)) 50000000000/314159265359))
(+.f32 (*.f32 u2 (*.f32 -314159265359/50000000000 (-.f32 -1 (sqrt.f32 u1)))) (/.f32 -1 (/.f32 50000000000/314159265359 u2)))
(-.f32 u2 (-.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))))
(-.f32 (*.f32 u2 314159265359/25000000000) (*.f32 314159265359/50000000000 (+.f32 u2 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))))))
(-.f32 (-.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) (*.f32 u2 -314159265359/100000000000)) (*.f32 u2 314159265359/100000000000))
(/.f32 1/2 (*.f32 25000000000/314159265359 (*.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(/.f32 1/2 (/.f32 1 (*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 314159265359/25000000000)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 314159265359/50000000000 u2)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 314159265359/50000000000))
(/.f32 (-.f32 (*.f32 u2 3) (*.f32 2 (+.f32 u2 u2))) (/.f32 -50000000000/314159265359 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (+.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (neg.f32 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 (*.f32 u2 314159265359/300000000000) (/.f32 50000000000/314159265359 u2))))
(/.f32 1/2 (/.f32 (+.f32 (*.f32 u2 314159265359/600000000000) (/.f32 25000000000/314159265359 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (/.f32 100000000000/314159265359 u2) (*.f32 50000000000/314159265359 (/.f32 -1 u2))))
(/.f32 (/.f32 1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (/.f32 (-.f32 (neg.f32 (*.f32 u2 3)) (neg.f32 (*.f32 (+.f32 u2 u2) 2))) (/.f32 1 (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 (*.f32 314159265359/300000000000 u2) (*.f32 50000000000/314159265359 (/.f32 1 u2)))))
(/.f32 1/2 (/.f32 (+.f32 (*.f32 314159265359/600000000000 u2) (*.f32 25000000000/314159265359 (/.f32 1 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (-.f32 (/.f32 100000000000/314159265359 u2) (/.f32 -50000000000/314159265359 u2)) (/.f32 100000000000/314159265359 u2)))
(*.f32 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (*.f32 (/.f32 u1 (+.f32 u1 -1)) -3))) (*.f32 314159265359/50000000000 u2))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (-.f32 (*.f32 u2 314159265359/100000000000) (/.f32 1/2 (/.f32 100000000000/314159265359 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (-.f32 (+.f32 u1 (*.f32 (+.f32 u1 u1) 2)) (*.f32 (+.f32 u1 u1) 2)) (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (/.f32 (-.f32 (+.f32 u2 (+.f32 u2 (+.f32 u2 u2))) (+.f32 u2 (+.f32 u2 u2))) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (*.f32 (+.f32 u1 u1) (/.f32 3/2 (-.f32 1 u1))))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1))))))
(/.f32 (sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1)))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359))))
(*.f32 (sqrt.f32 u1) (sin.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (/.f32 u2 50000000000/314159265359)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (*.f32 u2 -264159265359/50000000000))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Calls

8 calls:

63.0ms
(*.f32 314159265359/50000000000 u2)
60.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
57.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
56.0ms
u1
54.0ms
(/.f32 u1 (-.f32 1 u1))
Results
ErrorSegmentsBranch
0.5b1cosTheta_i
0.5b1u1
0.5b1u2
0.5b1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.5b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
0.5b1(/.f32 u1 (-.f32 1 u1))
0.5b1(sin.f32 (*.f32 314159265359/50000000000 u2))
0.5b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 1442 to 960 computations (33.4% saved)

regimes765.0ms (3.9%)

Counts
112 → 3
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (-.f32 u2 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 u1))
(*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) u2)
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) 50000000000/314159265359)
(neg.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 u2 -50000000000/314159265359))
(*.f32 314159265359/50000000000 (/.f32 u2 (/.f32 1 (sqrt.f32 u1))))
(*.f32 314159265359/50000000000 (/.f32 (sqrt.f32 u1) (/.f32 1 u2)))
(/.f32 1 (/.f32 50000000000/314159265359 (*.f32 u2 (sqrt.f32 u1))))
(/.f32 314159265359/100000000000 (/.f32 (/.f32 1/2 u2) (sqrt.f32 u1)))
(/.f32 314159265359/50000000000 (/.f32 1 (*.f32 u2 (sqrt.f32 u1))))
(/.f32 u2 (*.f32 (/.f32 1 (sqrt.f32 u1)) 50000000000/314159265359))
(/.f32 (sqrt.f32 u1) (*.f32 (/.f32 1 u2) 50000000000/314159265359))
(/.f32 (sqrt.f32 u1) (/.f32 1 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 u2 -314159265359/50000000000) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 314159265359/50000000000) (/.f32 1 (sqrt.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) (/.f32 -1 u2))
(/.f32 (/.f32 (sqrt.f32 u1) 50000000000/314159265359) (/.f32 1 u2))
(*.f32 (neg.f32 u2) (/.f32 -1 (/.f32 50000000000/314159265359 (sqrt.f32 u1))))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 1 (/.f32 -50000000000/314159265359 u2)))
(/.f32 (neg.f32 u2) (/.f32 -1 (*.f32 314159265359/50000000000 (sqrt.f32 u1))))
(/.f32 (neg.f32 u2) (/.f32 (/.f32 -1 (sqrt.f32 u1)) 314159265359/50000000000))
(/.f32 (/.f32 (neg.f32 u2) 50000000000/314159265359) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) 50000000000/314159265359) (/.f32 -1 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 (+.f32 (sqrt.f32 u1) 1) -1)))
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1 (+.f32 (sqrt.f32 u1) -1)) u2))
(*.f32 314159265359/50000000000 (-.f32 (*.f32 (+.f32 (sqrt.f32 u1) 1) u2) u2))
(*.f32 314159265359/50000000000 (-.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) u2))
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 1 (*.f32 u2 (sqrt.f32 u1)))))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (-.f32 -314159265359/25000000000 (+.f32 -314159265359/25000000000 (*.f32 -314159265359/50000000000 (sqrt.f32 u1)))))
(*.f32 u2 (-.f32 (+.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) 314159265359/50000000000))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) u2)
(*.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) u2)
(+.f32 u2 (-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) u2))
(-.f32 u2 (-.f32 u2 (*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))))
(/.f32 1/2 (/.f32 (/.f32 (/.f32 1/2 u2) (sqrt.f32 u1)) 314159265359/50000000000))
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (-.f32 (/.f32 u2 -50000000000/314159265359) (neg.f32 (*.f32 u2 314159265359/25000000000))) (sqrt.f32 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1)))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 u2 3) (+.f32 u2 u2))))
(*.f32 314159265359/50000000000 (-.f32 (/.f32 (+.f32 (sqrt.f32 u1) 1) (/.f32 1 u2)) u2))
(*.f32 314159265359/50000000000 (/.f32 u2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 u2 (/.f32 1 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (/.f32 50000000000/314159265359 u2)))
(+.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))) (/.f32 u2 -50000000000/314159265359))
(-.f32 (*.f32 u2 -314159265359/25000000000) (*.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) -314159265359/50000000000))
(-.f32 (*.f32 u2 314159265359/50000000000) (/.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 50000000000/314159265359))
(-.f32 (*.f32 u2 (*.f32 -314159265359/50000000000 (-.f32 -1 (sqrt.f32 u1)))) (*.f32 u2 314159265359/50000000000))
(-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (+.f32 (sqrt.f32 u1) -1))) (*.f32 u2 -314159265359/50000000000))
(-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (+.f32 (sqrt.f32 u1) 2))) (*.f32 u2 314159265359/25000000000))
(-.f32 (*.f32 u2 (+.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) 314159265359/25000000000)) (*.f32 u2 314159265359/25000000000))
(/.f32 1/2 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 25000000000/314159265359 u2)))
(/.f32 1/2 (/.f32 (/.f32 25000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 314159265359/100000000000 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 314159265359/50000000000 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (*.f32 314159265359/50000000000 u2)))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (*.f32 u2 314159265359/50000000000)))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(/.f32 (*.f32 314159265359/50000000000 u2) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (*.f32 u2 314159265359/50000000000) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (-.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) (+.f32 u2 u2)) 50000000000/314159265359)
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 1 (-.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 2 (+.f32 u2 u2)) (*.f32 u2 3))))
(*.f32 314159265359/50000000000 (+.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) (/.f32 -1 (/.f32 1/2 u2))))
(*.f32 314159265359/50000000000 (+.f32 (-.f32 (*.f32 u2 (sqrt.f32 u1)) (+.f32 u2 u2)) (+.f32 u2 u2)))
(*.f32 314159265359/50000000000 (-.f32 u2 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (-.f32 (/.f32 -1 (/.f32 1 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))))) u2))
(*.f32 314159265359/50000000000 (/.f32 1/2 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 1 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 u2 (+.f32 314159265359/25000000000 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) 314159265359/25000000000)))
(*.f32 u2 (-.f32 -314159265359/50000000000 (+.f32 -314159265359/50000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))))
(*.f32 u2 (-.f32 314159265359/25000000000 (*.f32 314159265359/50000000000 (-.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 u2 314159265359/25000000000))
(+.f32 u2 (-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) u2))
(+.f32 (*.f32 u2 314159265359/25000000000) (/.f32 (-.f32 (*.f32 u2 (sqrt.f32 u1)) (+.f32 u2 u2)) 50000000000/314159265359))
(+.f32 (*.f32 u2 (*.f32 -314159265359/50000000000 (-.f32 -1 (sqrt.f32 u1)))) (/.f32 -1 (/.f32 50000000000/314159265359 u2)))
(-.f32 u2 (-.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))))
(-.f32 (*.f32 u2 314159265359/25000000000) (*.f32 314159265359/50000000000 (+.f32 u2 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))))))
(-.f32 (-.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) (*.f32 u2 -314159265359/100000000000)) (*.f32 u2 314159265359/100000000000))
(/.f32 1/2 (*.f32 25000000000/314159265359 (*.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(/.f32 1/2 (/.f32 1 (*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 314159265359/25000000000)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 314159265359/50000000000 u2)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 314159265359/50000000000))
(/.f32 (-.f32 (*.f32 u2 3) (*.f32 2 (+.f32 u2 u2))) (/.f32 -50000000000/314159265359 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (+.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (neg.f32 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 (*.f32 u2 314159265359/300000000000) (/.f32 50000000000/314159265359 u2))))
(/.f32 1/2 (/.f32 (+.f32 (*.f32 u2 314159265359/600000000000) (/.f32 25000000000/314159265359 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (/.f32 100000000000/314159265359 u2) (*.f32 50000000000/314159265359 (/.f32 -1 u2))))
(/.f32 (/.f32 1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (/.f32 (-.f32 (neg.f32 (*.f32 u2 3)) (neg.f32 (*.f32 (+.f32 u2 u2) 2))) (/.f32 1 (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 (*.f32 314159265359/300000000000 u2) (*.f32 50000000000/314159265359 (/.f32 1 u2)))))
(/.f32 1/2 (/.f32 (+.f32 (*.f32 314159265359/600000000000 u2) (*.f32 25000000000/314159265359 (/.f32 1 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (-.f32 (/.f32 100000000000/314159265359 u2) (/.f32 -50000000000/314159265359 u2)) (/.f32 100000000000/314159265359 u2)))
(*.f32 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (*.f32 (/.f32 u1 (+.f32 u1 -1)) -3))) (*.f32 314159265359/50000000000 u2))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (-.f32 (*.f32 u2 314159265359/100000000000) (/.f32 1/2 (/.f32 100000000000/314159265359 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (-.f32 (+.f32 u1 (*.f32 (+.f32 u1 u1) 2)) (*.f32 (+.f32 u1 u1) 2)) (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (/.f32 (-.f32 (+.f32 u2 (+.f32 u2 (+.f32 u2 u2))) (+.f32 u2 (+.f32 u2 u2))) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (*.f32 (+.f32 u1 u1) (/.f32 3/2 (-.f32 1 u1))))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1))))))
(/.f32 (sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1)))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359))))
(*.f32 (sqrt.f32 u1) (sin.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1))))
Outputs
(*.f32 (sqrt.f32 u1) (sin.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2))))
(/.f32 1/2 (/.f32 (+.f32 (*.f32 u2 314159265359/600000000000) (/.f32 25000000000/314159265359 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Calls

7 calls:

177.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
128.0ms
u2
108.0ms
u1
93.0ms
(/.f32 u1 (-.f32 1 u1))
91.0ms
(*.f32 314159265359/50000000000 u2)
Results
ErrorSegmentsBranch
3.8b1cosTheta_i
2.2b2u1
1.7b2u2
2.2b2(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
2.2b2(/.f32 u1 (-.f32 1 u1))
1.7b3(sin.f32 (*.f32 314159265359/50000000000 u2))
1.7b2(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 1393 to 924 computations (33.7% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.13115307688713074
0.13878415524959564
0.0ms
-0.06335455924272537
1.8410503122012756e-9
Compiler

Compiled 20 to 16 computations (20% saved)

regimes768.0ms (3.9%)

Counts
110 → 3
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (-.f32 u2 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 u1))
(*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) u2)
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) 50000000000/314159265359)
(neg.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 u2 -50000000000/314159265359))
(*.f32 314159265359/50000000000 (/.f32 u2 (/.f32 1 (sqrt.f32 u1))))
(*.f32 314159265359/50000000000 (/.f32 (sqrt.f32 u1) (/.f32 1 u2)))
(/.f32 1 (/.f32 50000000000/314159265359 (*.f32 u2 (sqrt.f32 u1))))
(/.f32 314159265359/100000000000 (/.f32 (/.f32 1/2 u2) (sqrt.f32 u1)))
(/.f32 314159265359/50000000000 (/.f32 1 (*.f32 u2 (sqrt.f32 u1))))
(/.f32 u2 (*.f32 (/.f32 1 (sqrt.f32 u1)) 50000000000/314159265359))
(/.f32 (sqrt.f32 u1) (*.f32 (/.f32 1 u2) 50000000000/314159265359))
(/.f32 (sqrt.f32 u1) (/.f32 1 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 u2 -314159265359/50000000000) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 314159265359/50000000000) (/.f32 1 (sqrt.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) (/.f32 -1 u2))
(/.f32 (/.f32 (sqrt.f32 u1) 50000000000/314159265359) (/.f32 1 u2))
(*.f32 (neg.f32 u2) (/.f32 -1 (/.f32 50000000000/314159265359 (sqrt.f32 u1))))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 1 (/.f32 -50000000000/314159265359 u2)))
(/.f32 (neg.f32 u2) (/.f32 -1 (*.f32 314159265359/50000000000 (sqrt.f32 u1))))
(/.f32 (neg.f32 u2) (/.f32 (/.f32 -1 (sqrt.f32 u1)) 314159265359/50000000000))
(/.f32 (/.f32 (neg.f32 u2) 50000000000/314159265359) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) 50000000000/314159265359) (/.f32 -1 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 (+.f32 (sqrt.f32 u1) 1) -1)))
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1 (+.f32 (sqrt.f32 u1) -1)) u2))
(*.f32 314159265359/50000000000 (-.f32 (*.f32 (+.f32 (sqrt.f32 u1) 1) u2) u2))
(*.f32 314159265359/50000000000 (-.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) u2))
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 1 (*.f32 u2 (sqrt.f32 u1)))))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (-.f32 -314159265359/25000000000 (+.f32 -314159265359/25000000000 (*.f32 -314159265359/50000000000 (sqrt.f32 u1)))))
(*.f32 u2 (-.f32 (+.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) 314159265359/50000000000))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) u2)
(*.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) u2)
(+.f32 u2 (-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) u2))
(-.f32 u2 (-.f32 u2 (*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))))
(/.f32 1/2 (/.f32 (/.f32 (/.f32 1/2 u2) (sqrt.f32 u1)) 314159265359/50000000000))
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (-.f32 (/.f32 u2 -50000000000/314159265359) (neg.f32 (*.f32 u2 314159265359/25000000000))) (sqrt.f32 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1)))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 u2 3) (+.f32 u2 u2))))
(*.f32 314159265359/50000000000 (-.f32 (/.f32 (+.f32 (sqrt.f32 u1) 1) (/.f32 1 u2)) u2))
(*.f32 314159265359/50000000000 (/.f32 u2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 u2 (/.f32 1 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (/.f32 50000000000/314159265359 u2)))
(+.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))) (/.f32 u2 -50000000000/314159265359))
(-.f32 (*.f32 u2 -314159265359/25000000000) (*.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) -314159265359/50000000000))
(-.f32 (*.f32 u2 314159265359/50000000000) (/.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 50000000000/314159265359))
(-.f32 (*.f32 u2 (*.f32 -314159265359/50000000000 (-.f32 -1 (sqrt.f32 u1)))) (*.f32 u2 314159265359/50000000000))
(-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (+.f32 (sqrt.f32 u1) -1))) (*.f32 u2 -314159265359/50000000000))
(-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (+.f32 (sqrt.f32 u1) 2))) (*.f32 u2 314159265359/25000000000))
(-.f32 (*.f32 u2 (+.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) 314159265359/25000000000)) (*.f32 u2 314159265359/25000000000))
(/.f32 1/2 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 25000000000/314159265359 u2)))
(/.f32 1/2 (/.f32 (/.f32 25000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 314159265359/100000000000 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 314159265359/50000000000 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (*.f32 314159265359/50000000000 u2)))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (*.f32 u2 314159265359/50000000000)))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(/.f32 (*.f32 314159265359/50000000000 u2) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (*.f32 u2 314159265359/50000000000) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (-.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) (+.f32 u2 u2)) 50000000000/314159265359)
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 1 (-.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 2 (+.f32 u2 u2)) (*.f32 u2 3))))
(*.f32 314159265359/50000000000 (+.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) (/.f32 -1 (/.f32 1/2 u2))))
(*.f32 314159265359/50000000000 (+.f32 (-.f32 (*.f32 u2 (sqrt.f32 u1)) (+.f32 u2 u2)) (+.f32 u2 u2)))
(*.f32 314159265359/50000000000 (-.f32 u2 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (-.f32 (/.f32 -1 (/.f32 1 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))))) u2))
(*.f32 314159265359/50000000000 (/.f32 1/2 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 1 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 u2 (+.f32 314159265359/25000000000 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) 314159265359/25000000000)))
(*.f32 u2 (-.f32 -314159265359/50000000000 (+.f32 -314159265359/50000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))))
(*.f32 u2 (-.f32 314159265359/25000000000 (*.f32 314159265359/50000000000 (-.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 u2 314159265359/25000000000))
(+.f32 u2 (-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) u2))
(+.f32 (*.f32 u2 314159265359/25000000000) (/.f32 (-.f32 (*.f32 u2 (sqrt.f32 u1)) (+.f32 u2 u2)) 50000000000/314159265359))
(+.f32 (*.f32 u2 (*.f32 -314159265359/50000000000 (-.f32 -1 (sqrt.f32 u1)))) (/.f32 -1 (/.f32 50000000000/314159265359 u2)))
(-.f32 u2 (-.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))))
(-.f32 (*.f32 u2 314159265359/25000000000) (*.f32 314159265359/50000000000 (+.f32 u2 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))))))
(-.f32 (-.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) (*.f32 u2 -314159265359/100000000000)) (*.f32 u2 314159265359/100000000000))
(/.f32 1/2 (*.f32 25000000000/314159265359 (*.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(/.f32 1/2 (/.f32 1 (*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 314159265359/25000000000)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 314159265359/50000000000 u2)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 314159265359/50000000000))
(/.f32 (-.f32 (*.f32 u2 3) (*.f32 2 (+.f32 u2 u2))) (/.f32 -50000000000/314159265359 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (+.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (neg.f32 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 (*.f32 u2 314159265359/300000000000) (/.f32 50000000000/314159265359 u2))))
(/.f32 1/2 (/.f32 (+.f32 (*.f32 u2 314159265359/600000000000) (/.f32 25000000000/314159265359 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (/.f32 100000000000/314159265359 u2) (*.f32 50000000000/314159265359 (/.f32 -1 u2))))
(/.f32 (/.f32 1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (/.f32 (-.f32 (neg.f32 (*.f32 u2 3)) (neg.f32 (*.f32 (+.f32 u2 u2) 2))) (/.f32 1 (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 (*.f32 314159265359/300000000000 u2) (*.f32 50000000000/314159265359 (/.f32 1 u2)))))
(/.f32 1/2 (/.f32 (+.f32 (*.f32 314159265359/600000000000 u2) (*.f32 25000000000/314159265359 (/.f32 1 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (-.f32 (/.f32 100000000000/314159265359 u2) (/.f32 -50000000000/314159265359 u2)) (/.f32 100000000000/314159265359 u2)))
(*.f32 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (*.f32 (/.f32 u1 (+.f32 u1 -1)) -3))) (*.f32 314159265359/50000000000 u2))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (-.f32 (*.f32 u2 314159265359/100000000000) (/.f32 1/2 (/.f32 100000000000/314159265359 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (-.f32 (+.f32 u1 (*.f32 (+.f32 u1 u1) 2)) (*.f32 (+.f32 u1 u1) 2)) (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (/.f32 (-.f32 (+.f32 u2 (+.f32 u2 (+.f32 u2 u2))) (+.f32 u2 (+.f32 u2 u2))) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (*.f32 (+.f32 u1 u1) (/.f32 3/2 (-.f32 1 u1))))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1))))))
(/.f32 (sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1)))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359))))
Outputs
(*.f32 (sqrt.f32 u1) (sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359))))
(/.f32 1/2 (/.f32 (+.f32 (*.f32 u2 314159265359/600000000000) (/.f32 25000000000/314159265359 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Calls

7 calls:

128.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
121.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
118.0ms
(/.f32 u1 (-.f32 1 u1))
96.0ms
u1
93.0ms
cosTheta_i
Results
ErrorSegmentsBranch
3.8b1cosTheta_i
2.2b2u1
1.7b2u2
2.2b2(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
2.2b2(/.f32 u1 (-.f32 1 u1))
1.7b3(sin.f32 (*.f32 314159265359/50000000000 u2))
1.7b2(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 1374 to 911 computations (33.7% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.13115307688713074
0.13878415524959564
0.0ms
-0.06335455924272537
1.8410503122012756e-9
Compiler

Compiled 20 to 16 computations (20% saved)

regimes988.0ms (5.1%)

Counts
109 → 2
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (-.f32 u2 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 u1))
(*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) u2)
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) 50000000000/314159265359)
(neg.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 u2 -50000000000/314159265359))
(*.f32 314159265359/50000000000 (/.f32 u2 (/.f32 1 (sqrt.f32 u1))))
(*.f32 314159265359/50000000000 (/.f32 (sqrt.f32 u1) (/.f32 1 u2)))
(/.f32 1 (/.f32 50000000000/314159265359 (*.f32 u2 (sqrt.f32 u1))))
(/.f32 314159265359/100000000000 (/.f32 (/.f32 1/2 u2) (sqrt.f32 u1)))
(/.f32 314159265359/50000000000 (/.f32 1 (*.f32 u2 (sqrt.f32 u1))))
(/.f32 u2 (*.f32 (/.f32 1 (sqrt.f32 u1)) 50000000000/314159265359))
(/.f32 (sqrt.f32 u1) (*.f32 (/.f32 1 u2) 50000000000/314159265359))
(/.f32 (sqrt.f32 u1) (/.f32 1 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 u2 -314159265359/50000000000) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 314159265359/50000000000) (/.f32 1 (sqrt.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) (/.f32 -1 u2))
(/.f32 (/.f32 (sqrt.f32 u1) 50000000000/314159265359) (/.f32 1 u2))
(*.f32 (neg.f32 u2) (/.f32 -1 (/.f32 50000000000/314159265359 (sqrt.f32 u1))))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 1 (/.f32 -50000000000/314159265359 u2)))
(/.f32 (neg.f32 u2) (/.f32 -1 (*.f32 314159265359/50000000000 (sqrt.f32 u1))))
(/.f32 (neg.f32 u2) (/.f32 (/.f32 -1 (sqrt.f32 u1)) 314159265359/50000000000))
(/.f32 (/.f32 (neg.f32 u2) 50000000000/314159265359) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) 50000000000/314159265359) (/.f32 -1 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 (+.f32 (sqrt.f32 u1) 1) -1)))
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1 (+.f32 (sqrt.f32 u1) -1)) u2))
(*.f32 314159265359/50000000000 (-.f32 (*.f32 (+.f32 (sqrt.f32 u1) 1) u2) u2))
(*.f32 314159265359/50000000000 (-.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) u2))
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 1 (*.f32 u2 (sqrt.f32 u1)))))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (-.f32 -314159265359/25000000000 (+.f32 -314159265359/25000000000 (*.f32 -314159265359/50000000000 (sqrt.f32 u1)))))
(*.f32 u2 (-.f32 (+.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) 314159265359/50000000000))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) u2)
(*.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) u2)
(+.f32 u2 (-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) u2))
(-.f32 u2 (-.f32 u2 (*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))))
(/.f32 1/2 (/.f32 (/.f32 (/.f32 1/2 u2) (sqrt.f32 u1)) 314159265359/50000000000))
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (-.f32 (/.f32 u2 -50000000000/314159265359) (neg.f32 (*.f32 u2 314159265359/25000000000))) (sqrt.f32 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1)))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 u2 3) (+.f32 u2 u2))))
(*.f32 314159265359/50000000000 (-.f32 (/.f32 (+.f32 (sqrt.f32 u1) 1) (/.f32 1 u2)) u2))
(*.f32 314159265359/50000000000 (/.f32 u2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 u2 (/.f32 1 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (/.f32 50000000000/314159265359 u2)))
(+.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))) (/.f32 u2 -50000000000/314159265359))
(-.f32 (*.f32 u2 -314159265359/25000000000) (*.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) -314159265359/50000000000))
(-.f32 (*.f32 u2 314159265359/50000000000) (/.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 50000000000/314159265359))
(-.f32 (*.f32 u2 (*.f32 -314159265359/50000000000 (-.f32 -1 (sqrt.f32 u1)))) (*.f32 u2 314159265359/50000000000))
(-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (+.f32 (sqrt.f32 u1) -1))) (*.f32 u2 -314159265359/50000000000))
(-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (+.f32 (sqrt.f32 u1) 2))) (*.f32 u2 314159265359/25000000000))
(-.f32 (*.f32 u2 (+.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) 314159265359/25000000000)) (*.f32 u2 314159265359/25000000000))
(/.f32 1/2 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 25000000000/314159265359 u2)))
(/.f32 1/2 (/.f32 (/.f32 25000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 314159265359/100000000000 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 314159265359/50000000000 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (*.f32 314159265359/50000000000 u2)))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (*.f32 u2 314159265359/50000000000)))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(/.f32 (*.f32 314159265359/50000000000 u2) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (*.f32 u2 314159265359/50000000000) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (-.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) (+.f32 u2 u2)) 50000000000/314159265359)
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 1 (-.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 2 (+.f32 u2 u2)) (*.f32 u2 3))))
(*.f32 314159265359/50000000000 (+.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) (/.f32 -1 (/.f32 1/2 u2))))
(*.f32 314159265359/50000000000 (+.f32 (-.f32 (*.f32 u2 (sqrt.f32 u1)) (+.f32 u2 u2)) (+.f32 u2 u2)))
(*.f32 314159265359/50000000000 (-.f32 u2 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (-.f32 (/.f32 -1 (/.f32 1 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))))) u2))
(*.f32 314159265359/50000000000 (/.f32 1/2 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 1 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 u2 (+.f32 314159265359/25000000000 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) 314159265359/25000000000)))
(*.f32 u2 (-.f32 -314159265359/50000000000 (+.f32 -314159265359/50000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))))
(*.f32 u2 (-.f32 314159265359/25000000000 (*.f32 314159265359/50000000000 (-.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 u2 314159265359/25000000000))
(+.f32 u2 (-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) u2))
(+.f32 (*.f32 u2 314159265359/25000000000) (/.f32 (-.f32 (*.f32 u2 (sqrt.f32 u1)) (+.f32 u2 u2)) 50000000000/314159265359))
(+.f32 (*.f32 u2 (*.f32 -314159265359/50000000000 (-.f32 -1 (sqrt.f32 u1)))) (/.f32 -1 (/.f32 50000000000/314159265359 u2)))
(-.f32 u2 (-.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))))
(-.f32 (*.f32 u2 314159265359/25000000000) (*.f32 314159265359/50000000000 (+.f32 u2 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))))))
(-.f32 (-.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) (*.f32 u2 -314159265359/100000000000)) (*.f32 u2 314159265359/100000000000))
(/.f32 1/2 (*.f32 25000000000/314159265359 (*.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(/.f32 1/2 (/.f32 1 (*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 314159265359/25000000000)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 314159265359/50000000000 u2)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 314159265359/50000000000))
(/.f32 (-.f32 (*.f32 u2 3) (*.f32 2 (+.f32 u2 u2))) (/.f32 -50000000000/314159265359 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (+.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (neg.f32 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 (*.f32 u2 314159265359/300000000000) (/.f32 50000000000/314159265359 u2))))
(/.f32 1/2 (/.f32 (+.f32 (*.f32 u2 314159265359/600000000000) (/.f32 25000000000/314159265359 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (/.f32 100000000000/314159265359 u2) (*.f32 50000000000/314159265359 (/.f32 -1 u2))))
(/.f32 (/.f32 1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (/.f32 (-.f32 (neg.f32 (*.f32 u2 3)) (neg.f32 (*.f32 (+.f32 u2 u2) 2))) (/.f32 1 (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 (*.f32 314159265359/300000000000 u2) (*.f32 50000000000/314159265359 (/.f32 1 u2)))))
(/.f32 1/2 (/.f32 (+.f32 (*.f32 314159265359/600000000000 u2) (*.f32 25000000000/314159265359 (/.f32 1 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (-.f32 (/.f32 100000000000/314159265359 u2) (/.f32 -50000000000/314159265359 u2)) (/.f32 100000000000/314159265359 u2)))
(*.f32 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (*.f32 (/.f32 u1 (+.f32 u1 -1)) -3))) (*.f32 314159265359/50000000000 u2))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (-.f32 (*.f32 u2 314159265359/100000000000) (/.f32 1/2 (/.f32 100000000000/314159265359 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (-.f32 (+.f32 u1 (*.f32 (+.f32 u1 u1) 2)) (*.f32 (+.f32 u1 u1) 2)) (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (/.f32 (-.f32 (+.f32 u2 (+.f32 u2 (+.f32 u2 u2))) (+.f32 u2 (+.f32 u2 u2))) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (*.f32 (+.f32 u1 u1) (/.f32 3/2 (-.f32 1 u1))))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1))))))
(/.f32 (sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1)))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Outputs
(/.f32 1/2 (/.f32 (+.f32 (*.f32 u2 314159265359/600000000000) (/.f32 25000000000/314159265359 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Calls

7 calls:

255.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
197.0ms
(/.f32 u1 (-.f32 1 u1))
127.0ms
u1
119.0ms
(*.f32 314159265359/50000000000 u2)
97.0ms
u2
Results
ErrorSegmentsBranch
3.8b1cosTheta_i
2.2b2u1
1.7b2u2
2.2b2(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
2.2b2(/.f32 u1 (-.f32 1 u1))
1.7b3(sin.f32 (*.f32 314159265359/50000000000 u2))
1.7b2(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 1365 to 906 computations (33.6% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.13153201341629028
0.13923358917236328
Compiler

Compiled 20 to 16 computations (20% saved)

regimes557.0ms (2.8%)

Counts
108 → 1
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (-.f32 u2 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 u1))
(*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) u2)
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) 50000000000/314159265359)
(neg.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 u2 -50000000000/314159265359))
(*.f32 314159265359/50000000000 (/.f32 u2 (/.f32 1 (sqrt.f32 u1))))
(*.f32 314159265359/50000000000 (/.f32 (sqrt.f32 u1) (/.f32 1 u2)))
(/.f32 1 (/.f32 50000000000/314159265359 (*.f32 u2 (sqrt.f32 u1))))
(/.f32 314159265359/100000000000 (/.f32 (/.f32 1/2 u2) (sqrt.f32 u1)))
(/.f32 314159265359/50000000000 (/.f32 1 (*.f32 u2 (sqrt.f32 u1))))
(/.f32 u2 (*.f32 (/.f32 1 (sqrt.f32 u1)) 50000000000/314159265359))
(/.f32 (sqrt.f32 u1) (*.f32 (/.f32 1 u2) 50000000000/314159265359))
(/.f32 (sqrt.f32 u1) (/.f32 1 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 u2 -314159265359/50000000000) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 314159265359/50000000000) (/.f32 1 (sqrt.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) (/.f32 -1 u2))
(/.f32 (/.f32 (sqrt.f32 u1) 50000000000/314159265359) (/.f32 1 u2))
(*.f32 (neg.f32 u2) (/.f32 -1 (/.f32 50000000000/314159265359 (sqrt.f32 u1))))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 1 (/.f32 -50000000000/314159265359 u2)))
(/.f32 (neg.f32 u2) (/.f32 -1 (*.f32 314159265359/50000000000 (sqrt.f32 u1))))
(/.f32 (neg.f32 u2) (/.f32 (/.f32 -1 (sqrt.f32 u1)) 314159265359/50000000000))
(/.f32 (/.f32 (neg.f32 u2) 50000000000/314159265359) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) 50000000000/314159265359) (/.f32 -1 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 (+.f32 (sqrt.f32 u1) 1) -1)))
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1 (+.f32 (sqrt.f32 u1) -1)) u2))
(*.f32 314159265359/50000000000 (-.f32 (*.f32 (+.f32 (sqrt.f32 u1) 1) u2) u2))
(*.f32 314159265359/50000000000 (-.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) u2))
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 1 (*.f32 u2 (sqrt.f32 u1)))))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (-.f32 -314159265359/25000000000 (+.f32 -314159265359/25000000000 (*.f32 -314159265359/50000000000 (sqrt.f32 u1)))))
(*.f32 u2 (-.f32 (+.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) 314159265359/50000000000))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) u2)
(*.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) u2)
(+.f32 u2 (-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) u2))
(-.f32 u2 (-.f32 u2 (*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))))
(/.f32 1/2 (/.f32 (/.f32 (/.f32 1/2 u2) (sqrt.f32 u1)) 314159265359/50000000000))
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (-.f32 (/.f32 u2 -50000000000/314159265359) (neg.f32 (*.f32 u2 314159265359/25000000000))) (sqrt.f32 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1)))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 u2 3) (+.f32 u2 u2))))
(*.f32 314159265359/50000000000 (-.f32 (/.f32 (+.f32 (sqrt.f32 u1) 1) (/.f32 1 u2)) u2))
(*.f32 314159265359/50000000000 (/.f32 u2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 u2 (/.f32 1 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (/.f32 50000000000/314159265359 u2)))
(+.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))) (/.f32 u2 -50000000000/314159265359))
(-.f32 (*.f32 u2 -314159265359/25000000000) (*.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) -314159265359/50000000000))
(-.f32 (*.f32 u2 314159265359/50000000000) (/.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 50000000000/314159265359))
(-.f32 (*.f32 u2 (*.f32 -314159265359/50000000000 (-.f32 -1 (sqrt.f32 u1)))) (*.f32 u2 314159265359/50000000000))
(-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (+.f32 (sqrt.f32 u1) -1))) (*.f32 u2 -314159265359/50000000000))
(-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (+.f32 (sqrt.f32 u1) 2))) (*.f32 u2 314159265359/25000000000))
(-.f32 (*.f32 u2 (+.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) 314159265359/25000000000)) (*.f32 u2 314159265359/25000000000))
(/.f32 1/2 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 25000000000/314159265359 u2)))
(/.f32 1/2 (/.f32 (/.f32 25000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 314159265359/100000000000 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 314159265359/50000000000 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (*.f32 314159265359/50000000000 u2)))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (*.f32 u2 314159265359/50000000000)))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(/.f32 (*.f32 314159265359/50000000000 u2) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (*.f32 u2 314159265359/50000000000) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (-.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) (+.f32 u2 u2)) 50000000000/314159265359)
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 1 (-.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 2 (+.f32 u2 u2)) (*.f32 u2 3))))
(*.f32 314159265359/50000000000 (+.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) (/.f32 -1 (/.f32 1/2 u2))))
(*.f32 314159265359/50000000000 (+.f32 (-.f32 (*.f32 u2 (sqrt.f32 u1)) (+.f32 u2 u2)) (+.f32 u2 u2)))
(*.f32 314159265359/50000000000 (-.f32 u2 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (-.f32 (/.f32 -1 (/.f32 1 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))))) u2))
(*.f32 314159265359/50000000000 (/.f32 1/2 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 1 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 u2 (+.f32 314159265359/25000000000 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) 314159265359/25000000000)))
(*.f32 u2 (-.f32 -314159265359/50000000000 (+.f32 -314159265359/50000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))))
(*.f32 u2 (-.f32 314159265359/25000000000 (*.f32 314159265359/50000000000 (-.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 u2 314159265359/25000000000))
(+.f32 u2 (-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) u2))
(+.f32 (*.f32 u2 314159265359/25000000000) (/.f32 (-.f32 (*.f32 u2 (sqrt.f32 u1)) (+.f32 u2 u2)) 50000000000/314159265359))
(+.f32 (*.f32 u2 (*.f32 -314159265359/50000000000 (-.f32 -1 (sqrt.f32 u1)))) (/.f32 -1 (/.f32 50000000000/314159265359 u2)))
(-.f32 u2 (-.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))))
(-.f32 (*.f32 u2 314159265359/25000000000) (*.f32 314159265359/50000000000 (+.f32 u2 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))))))
(-.f32 (-.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) (*.f32 u2 -314159265359/100000000000)) (*.f32 u2 314159265359/100000000000))
(/.f32 1/2 (*.f32 25000000000/314159265359 (*.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(/.f32 1/2 (/.f32 1 (*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 314159265359/25000000000)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 314159265359/50000000000 u2)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 314159265359/50000000000))
(/.f32 (-.f32 (*.f32 u2 3) (*.f32 2 (+.f32 u2 u2))) (/.f32 -50000000000/314159265359 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (+.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (neg.f32 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 (*.f32 u2 314159265359/300000000000) (/.f32 50000000000/314159265359 u2))))
(/.f32 1/2 (/.f32 (+.f32 (*.f32 u2 314159265359/600000000000) (/.f32 25000000000/314159265359 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (/.f32 100000000000/314159265359 u2) (*.f32 50000000000/314159265359 (/.f32 -1 u2))))
(/.f32 (/.f32 1 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (/.f32 (-.f32 (neg.f32 (*.f32 u2 3)) (neg.f32 (*.f32 (+.f32 u2 u2) 2))) (/.f32 1 (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 (*.f32 314159265359/300000000000 u2) (*.f32 50000000000/314159265359 (/.f32 1 u2)))))
(/.f32 1/2 (/.f32 (+.f32 (*.f32 314159265359/600000000000 u2) (*.f32 25000000000/314159265359 (/.f32 1 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (-.f32 (/.f32 100000000000/314159265359 u2) (/.f32 -50000000000/314159265359 u2)) (/.f32 100000000000/314159265359 u2)))
(*.f32 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (*.f32 (/.f32 u1 (+.f32 u1 -1)) -3))) (*.f32 314159265359/50000000000 u2))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 2) (-.f32 (*.f32 u2 314159265359/100000000000) (/.f32 1/2 (/.f32 100000000000/314159265359 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (-.f32 (+.f32 u1 (*.f32 (+.f32 u1 u1) 2)) (*.f32 (+.f32 u1 u1) 2)) (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (/.f32 (-.f32 (+.f32 u2 (+.f32 u2 (+.f32 u2 u2))) (+.f32 u2 (+.f32 u2 u2))) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 (sqrt.f32 (-.f32 (*.f32 4 (/.f32 u1 (-.f32 1 u1))) (*.f32 (+.f32 u1 u1) (/.f32 3/2 (-.f32 1 u1))))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1))))))
(/.f32 (sqrt.f32 (-.f32 (/.f32 (+.f32 (+.f32 u1 u1) (+.f32 u1 u1)) (-.f32 1 u1)) (/.f32 (+.f32 u1 (+.f32 u1 u1)) (-.f32 1 u1)))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
Outputs
(/.f32 1/2 (/.f32 (+.f32 (*.f32 u2 314159265359/600000000000) (/.f32 25000000000/314159265359 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
Calls

6 calls:

127.0ms
(*.f32 314159265359/50000000000 u2)
109.0ms
(/.f32 u1 (-.f32 1 u1))
93.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
81.0ms
u1
58.0ms
u2
Results
ErrorSegmentsBranch
3.8b1cosTheta_i
3.8b1u1
3.8b1u2
3.8b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
3.8b1(/.f32 u1 (-.f32 1 u1))
3.8b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 1351 to 896 computations (33.7% saved)

regimes436.0ms (2.2%)

Counts
94 → 1
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (-.f32 u2 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 u1))
(*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) u2)
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) 50000000000/314159265359)
(neg.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 u2 -50000000000/314159265359))
(*.f32 314159265359/50000000000 (/.f32 u2 (/.f32 1 (sqrt.f32 u1))))
(*.f32 314159265359/50000000000 (/.f32 (sqrt.f32 u1) (/.f32 1 u2)))
(/.f32 1 (/.f32 50000000000/314159265359 (*.f32 u2 (sqrt.f32 u1))))
(/.f32 314159265359/100000000000 (/.f32 (/.f32 1/2 u2) (sqrt.f32 u1)))
(/.f32 314159265359/50000000000 (/.f32 1 (*.f32 u2 (sqrt.f32 u1))))
(/.f32 u2 (*.f32 (/.f32 1 (sqrt.f32 u1)) 50000000000/314159265359))
(/.f32 (sqrt.f32 u1) (*.f32 (/.f32 1 u2) 50000000000/314159265359))
(/.f32 (sqrt.f32 u1) (/.f32 1 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 u2 -314159265359/50000000000) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 314159265359/50000000000) (/.f32 1 (sqrt.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) (/.f32 -1 u2))
(/.f32 (/.f32 (sqrt.f32 u1) 50000000000/314159265359) (/.f32 1 u2))
(*.f32 (neg.f32 u2) (/.f32 -1 (/.f32 50000000000/314159265359 (sqrt.f32 u1))))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 1 (/.f32 -50000000000/314159265359 u2)))
(/.f32 (neg.f32 u2) (/.f32 -1 (*.f32 314159265359/50000000000 (sqrt.f32 u1))))
(/.f32 (neg.f32 u2) (/.f32 (/.f32 -1 (sqrt.f32 u1)) 314159265359/50000000000))
(/.f32 (/.f32 (neg.f32 u2) 50000000000/314159265359) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) 50000000000/314159265359) (/.f32 -1 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 (+.f32 (sqrt.f32 u1) 1) -1)))
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1 (+.f32 (sqrt.f32 u1) -1)) u2))
(*.f32 314159265359/50000000000 (-.f32 (*.f32 (+.f32 (sqrt.f32 u1) 1) u2) u2))
(*.f32 314159265359/50000000000 (-.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) u2))
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 1 (*.f32 u2 (sqrt.f32 u1)))))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (-.f32 -314159265359/25000000000 (+.f32 -314159265359/25000000000 (*.f32 -314159265359/50000000000 (sqrt.f32 u1)))))
(*.f32 u2 (-.f32 (+.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) 314159265359/50000000000))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) u2)
(*.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) u2)
(+.f32 u2 (-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) u2))
(-.f32 u2 (-.f32 u2 (*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))))
(/.f32 1/2 (/.f32 (/.f32 (/.f32 1/2 u2) (sqrt.f32 u1)) 314159265359/50000000000))
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (-.f32 (/.f32 u2 -50000000000/314159265359) (neg.f32 (*.f32 u2 314159265359/25000000000))) (sqrt.f32 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1)))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 u2 3) (+.f32 u2 u2))))
(*.f32 314159265359/50000000000 (-.f32 (/.f32 (+.f32 (sqrt.f32 u1) 1) (/.f32 1 u2)) u2))
(*.f32 314159265359/50000000000 (/.f32 u2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 u2 (/.f32 1 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (/.f32 50000000000/314159265359 u2)))
(+.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))) (/.f32 u2 -50000000000/314159265359))
(-.f32 (*.f32 u2 -314159265359/25000000000) (*.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) -314159265359/50000000000))
(-.f32 (*.f32 u2 314159265359/50000000000) (/.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 50000000000/314159265359))
(-.f32 (*.f32 u2 (*.f32 -314159265359/50000000000 (-.f32 -1 (sqrt.f32 u1)))) (*.f32 u2 314159265359/50000000000))
(-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (+.f32 (sqrt.f32 u1) -1))) (*.f32 u2 -314159265359/50000000000))
(-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (+.f32 (sqrt.f32 u1) 2))) (*.f32 u2 314159265359/25000000000))
(-.f32 (*.f32 u2 (+.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) 314159265359/25000000000)) (*.f32 u2 314159265359/25000000000))
(/.f32 1/2 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 25000000000/314159265359 u2)))
(/.f32 1/2 (/.f32 (/.f32 25000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 314159265359/100000000000 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 314159265359/50000000000 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (*.f32 314159265359/50000000000 u2)))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (*.f32 u2 314159265359/50000000000)))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(/.f32 (*.f32 314159265359/50000000000 u2) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (*.f32 u2 314159265359/50000000000) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (-.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) (+.f32 u2 u2)) 50000000000/314159265359)
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 1 (-.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 2 (+.f32 u2 u2)) (*.f32 u2 3))))
(*.f32 314159265359/50000000000 (+.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) (/.f32 -1 (/.f32 1/2 u2))))
(*.f32 314159265359/50000000000 (+.f32 (-.f32 (*.f32 u2 (sqrt.f32 u1)) (+.f32 u2 u2)) (+.f32 u2 u2)))
(*.f32 314159265359/50000000000 (-.f32 u2 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (-.f32 (/.f32 -1 (/.f32 1 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))))) u2))
(*.f32 314159265359/50000000000 (/.f32 1/2 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 1 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 u2 (+.f32 314159265359/25000000000 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) 314159265359/25000000000)))
(*.f32 u2 (-.f32 -314159265359/50000000000 (+.f32 -314159265359/50000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))))
(*.f32 u2 (-.f32 314159265359/25000000000 (*.f32 314159265359/50000000000 (-.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 u2 314159265359/25000000000))
(+.f32 u2 (-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) u2))
(+.f32 (*.f32 u2 314159265359/25000000000) (/.f32 (-.f32 (*.f32 u2 (sqrt.f32 u1)) (+.f32 u2 u2)) 50000000000/314159265359))
(+.f32 (*.f32 u2 (*.f32 -314159265359/50000000000 (-.f32 -1 (sqrt.f32 u1)))) (/.f32 -1 (/.f32 50000000000/314159265359 u2)))
(-.f32 u2 (-.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))))
(-.f32 (*.f32 u2 314159265359/25000000000) (*.f32 314159265359/50000000000 (+.f32 u2 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))))))
(-.f32 (-.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) (*.f32 u2 -314159265359/100000000000)) (*.f32 u2 314159265359/100000000000))
(/.f32 1/2 (*.f32 25000000000/314159265359 (*.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(/.f32 1/2 (/.f32 1 (*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 314159265359/25000000000)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 314159265359/50000000000 u2)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 314159265359/50000000000))
(/.f32 (-.f32 (*.f32 u2 3) (*.f32 2 (+.f32 u2 u2))) (/.f32 -50000000000/314159265359 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (+.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (neg.f32 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 (*.f32 u2 314159265359/300000000000) (/.f32 50000000000/314159265359 u2))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 (*.f32 u2 314159265359/300000000000) (/.f32 50000000000/314159265359 u2))))
Calls

6 calls:

83.0ms
cosTheta_i
74.0ms
u2
70.0ms
u1
52.0ms
(/.f32 u1 (-.f32 1 u1))
51.0ms
(*.f32 314159265359/50000000000 u2)
Results
ErrorSegmentsBranch
3.9b1cosTheta_i
3.9b1u1
3.9b1u2
3.9b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
3.9b1(/.f32 u1 (-.f32 1 u1))
3.9b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 1067 to 706 computations (33.8% saved)

regimes336.0ms (1.7%)

Counts
93 → 1
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (-.f32 u2 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 u1))
(*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) u2)
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) 50000000000/314159265359)
(neg.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 u2 -50000000000/314159265359))
(*.f32 314159265359/50000000000 (/.f32 u2 (/.f32 1 (sqrt.f32 u1))))
(*.f32 314159265359/50000000000 (/.f32 (sqrt.f32 u1) (/.f32 1 u2)))
(/.f32 1 (/.f32 50000000000/314159265359 (*.f32 u2 (sqrt.f32 u1))))
(/.f32 314159265359/100000000000 (/.f32 (/.f32 1/2 u2) (sqrt.f32 u1)))
(/.f32 314159265359/50000000000 (/.f32 1 (*.f32 u2 (sqrt.f32 u1))))
(/.f32 u2 (*.f32 (/.f32 1 (sqrt.f32 u1)) 50000000000/314159265359))
(/.f32 (sqrt.f32 u1) (*.f32 (/.f32 1 u2) 50000000000/314159265359))
(/.f32 (sqrt.f32 u1) (/.f32 1 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 u2 -314159265359/50000000000) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 314159265359/50000000000) (/.f32 1 (sqrt.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) (/.f32 -1 u2))
(/.f32 (/.f32 (sqrt.f32 u1) 50000000000/314159265359) (/.f32 1 u2))
(*.f32 (neg.f32 u2) (/.f32 -1 (/.f32 50000000000/314159265359 (sqrt.f32 u1))))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 1 (/.f32 -50000000000/314159265359 u2)))
(/.f32 (neg.f32 u2) (/.f32 -1 (*.f32 314159265359/50000000000 (sqrt.f32 u1))))
(/.f32 (neg.f32 u2) (/.f32 (/.f32 -1 (sqrt.f32 u1)) 314159265359/50000000000))
(/.f32 (/.f32 (neg.f32 u2) 50000000000/314159265359) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) 50000000000/314159265359) (/.f32 -1 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 (+.f32 (sqrt.f32 u1) 1) -1)))
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1 (+.f32 (sqrt.f32 u1) -1)) u2))
(*.f32 314159265359/50000000000 (-.f32 (*.f32 (+.f32 (sqrt.f32 u1) 1) u2) u2))
(*.f32 314159265359/50000000000 (-.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) u2))
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 1 (*.f32 u2 (sqrt.f32 u1)))))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (-.f32 -314159265359/25000000000 (+.f32 -314159265359/25000000000 (*.f32 -314159265359/50000000000 (sqrt.f32 u1)))))
(*.f32 u2 (-.f32 (+.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) 314159265359/50000000000))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) u2)
(*.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) u2)
(+.f32 u2 (-.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) u2))
(-.f32 u2 (-.f32 u2 (*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))))
(/.f32 1/2 (/.f32 (/.f32 (/.f32 1/2 u2) (sqrt.f32 u1)) 314159265359/50000000000))
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (-.f32 (/.f32 u2 -50000000000/314159265359) (neg.f32 (*.f32 u2 314159265359/25000000000))) (sqrt.f32 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1)))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 u2 3) (+.f32 u2 u2))))
(*.f32 314159265359/50000000000 (-.f32 (/.f32 (+.f32 (sqrt.f32 u1) 1) (/.f32 1 u2)) u2))
(*.f32 314159265359/50000000000 (/.f32 u2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 u2 (/.f32 1 (/.f32 50000000000/314159265359 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (/.f32 50000000000/314159265359 u2)))
(+.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))) (/.f32 u2 -50000000000/314159265359))
(-.f32 (*.f32 u2 -314159265359/25000000000) (*.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) -314159265359/50000000000))
(-.f32 (*.f32 u2 314159265359/50000000000) (/.f32 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))) 50000000000/314159265359))
(-.f32 (*.f32 u2 (*.f32 -314159265359/50000000000 (-.f32 -1 (sqrt.f32 u1)))) (*.f32 u2 314159265359/50000000000))
(-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (+.f32 (sqrt.f32 u1) -1))) (*.f32 u2 -314159265359/50000000000))
(-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (+.f32 (sqrt.f32 u1) 2))) (*.f32 u2 314159265359/25000000000))
(-.f32 (*.f32 u2 (+.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) 314159265359/25000000000)) (*.f32 u2 314159265359/25000000000))
(/.f32 1/2 (*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (/.f32 25000000000/314159265359 u2)))
(/.f32 1/2 (/.f32 (/.f32 25000000000/314159265359 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 314159265359/100000000000 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 314159265359/50000000000 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (*.f32 314159265359/50000000000 u2)))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (*.f32 u2 314159265359/50000000000)))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (/.f32 1 u2) 314159265359/50000000000))
(/.f32 (*.f32 314159265359/50000000000 u2) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (*.f32 u2 314159265359/50000000000) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (-.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) (+.f32 u2 u2)) 50000000000/314159265359)
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 1 (-.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 2 (+.f32 u2 u2)) (*.f32 u2 3))))
(*.f32 314159265359/50000000000 (+.f32 (*.f32 u2 (+.f32 (sqrt.f32 u1) 2)) (/.f32 -1 (/.f32 1/2 u2))))
(*.f32 314159265359/50000000000 (+.f32 (-.f32 (*.f32 u2 (sqrt.f32 u1)) (+.f32 u2 u2)) (+.f32 u2 u2)))
(*.f32 314159265359/50000000000 (-.f32 u2 (-.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (-.f32 (/.f32 -1 (/.f32 1 (*.f32 u2 (-.f32 -1 (sqrt.f32 u1))))) u2))
(*.f32 314159265359/50000000000 (/.f32 1/2 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 1 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 u2 (+.f32 314159265359/25000000000 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) 314159265359/25000000000)))
(*.f32 u2 (-.f32 -314159265359/50000000000 (+.f32 -314159265359/50000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))))
(*.f32 u2 (-.f32 314159265359/25000000000 (*.f32 314159265359/50000000000 (-.f32 2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (/.f32 1/2 (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 u2 314159265359/25000000000))
(+.f32 u2 (-.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) u2))
(+.f32 (*.f32 u2 314159265359/25000000000) (/.f32 (-.f32 (*.f32 u2 (sqrt.f32 u1)) (+.f32 u2 u2)) 50000000000/314159265359))
(+.f32 (*.f32 u2 (*.f32 -314159265359/50000000000 (-.f32 -1 (sqrt.f32 u1)))) (/.f32 -1 (/.f32 50000000000/314159265359 u2)))
(-.f32 u2 (-.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))))
(-.f32 (*.f32 u2 314159265359/25000000000) (*.f32 314159265359/50000000000 (+.f32 u2 (-.f32 u2 (*.f32 u2 (sqrt.f32 u1))))))
(-.f32 (-.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) (*.f32 u2 -314159265359/100000000000)) (*.f32 u2 314159265359/100000000000))
(/.f32 1/2 (*.f32 25000000000/314159265359 (*.f32 (/.f32 1 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(/.f32 1/2 (/.f32 1 (*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 314159265359/25000000000)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 314159265359/50000000000 u2)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 314159265359/50000000000))
(/.f32 (-.f32 (*.f32 u2 3) (*.f32 2 (+.f32 u2 u2))) (/.f32 -50000000000/314159265359 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (+.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (neg.f32 u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
Calls

6 calls:

62.0ms
u2
53.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
53.0ms
(*.f32 314159265359/50000000000 u2)
49.0ms
(/.f32 u1 (-.f32 1 u1))
48.0ms
u1
Results
ErrorSegmentsBranch
5.9b1cosTheta_i
5.9b1u1
5.9b1u2
5.9b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
5.9b1(/.f32 u1 (-.f32 1 u1))
5.9b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 1051 to 694 computations (34% saved)

regimes133.0ms (0.7%)

Counts
36 → 1
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (-.f32 u2 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 u1))
(*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) u2)
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) 50000000000/314159265359)
(neg.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 u2 -50000000000/314159265359))
(*.f32 314159265359/50000000000 (/.f32 u2 (/.f32 1 (sqrt.f32 u1))))
(*.f32 314159265359/50000000000 (/.f32 (sqrt.f32 u1) (/.f32 1 u2)))
(/.f32 1 (/.f32 50000000000/314159265359 (*.f32 u2 (sqrt.f32 u1))))
(/.f32 314159265359/100000000000 (/.f32 (/.f32 1/2 u2) (sqrt.f32 u1)))
(/.f32 314159265359/50000000000 (/.f32 1 (*.f32 u2 (sqrt.f32 u1))))
(/.f32 u2 (*.f32 (/.f32 1 (sqrt.f32 u1)) 50000000000/314159265359))
(/.f32 (sqrt.f32 u1) (*.f32 (/.f32 1 u2) 50000000000/314159265359))
(/.f32 (sqrt.f32 u1) (/.f32 1 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 u2 -314159265359/50000000000) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 314159265359/50000000000) (/.f32 1 (sqrt.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) (/.f32 -1 u2))
(/.f32 (/.f32 (sqrt.f32 u1) 50000000000/314159265359) (/.f32 1 u2))
(*.f32 (neg.f32 u2) (/.f32 -1 (/.f32 50000000000/314159265359 (sqrt.f32 u1))))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 1 (/.f32 -50000000000/314159265359 u2)))
(/.f32 (neg.f32 u2) (/.f32 -1 (*.f32 314159265359/50000000000 (sqrt.f32 u1))))
(/.f32 (neg.f32 u2) (/.f32 (/.f32 -1 (sqrt.f32 u1)) 314159265359/50000000000))
(/.f32 (/.f32 (neg.f32 u2) 50000000000/314159265359) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) 50000000000/314159265359) (/.f32 -1 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 (+.f32 (sqrt.f32 u1) 1) -1)))
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1 (+.f32 (sqrt.f32 u1) -1)) u2))
(*.f32 314159265359/50000000000 (-.f32 (*.f32 (+.f32 (sqrt.f32 u1) 1) u2) u2))
(*.f32 314159265359/50000000000 (-.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) u2))
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 1 (*.f32 u2 (sqrt.f32 u1)))))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (-.f32 -314159265359/25000000000 (+.f32 -314159265359/25000000000 (*.f32 -314159265359/50000000000 (sqrt.f32 u1)))))
(*.f32 u2 (-.f32 (+.f32 314159265359/50000000000 (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) 314159265359/50000000000))
Outputs
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
Calls

6 calls:

23.0ms
(/.f32 u1 (-.f32 1 u1))
22.0ms
u1
22.0ms
u2
21.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
17.0ms
(*.f32 314159265359/50000000000 u2)
Results
ErrorSegmentsBranch
5.9b1cosTheta_i
5.9b1u1
5.9b1u2
5.9b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
5.9b1(/.f32 u1 (-.f32 1 u1))
5.9b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 333 to 206 computations (38.1% saved)

regimes114.0ms (0.6%)

Counts
33 → 1
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (-.f32 u2 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 u1))
(*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) u2)
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) 50000000000/314159265359)
(neg.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 u2 -50000000000/314159265359))
(*.f32 314159265359/50000000000 (/.f32 u2 (/.f32 1 (sqrt.f32 u1))))
(*.f32 314159265359/50000000000 (/.f32 (sqrt.f32 u1) (/.f32 1 u2)))
(/.f32 1 (/.f32 50000000000/314159265359 (*.f32 u2 (sqrt.f32 u1))))
(/.f32 314159265359/100000000000 (/.f32 (/.f32 1/2 u2) (sqrt.f32 u1)))
(/.f32 314159265359/50000000000 (/.f32 1 (*.f32 u2 (sqrt.f32 u1))))
(/.f32 u2 (*.f32 (/.f32 1 (sqrt.f32 u1)) 50000000000/314159265359))
(/.f32 (sqrt.f32 u1) (*.f32 (/.f32 1 u2) 50000000000/314159265359))
(/.f32 (sqrt.f32 u1) (/.f32 1 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 u2 -314159265359/50000000000) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 314159265359/50000000000) (/.f32 1 (sqrt.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) (/.f32 -1 u2))
(/.f32 (/.f32 (sqrt.f32 u1) 50000000000/314159265359) (/.f32 1 u2))
(*.f32 (neg.f32 u2) (/.f32 -1 (/.f32 50000000000/314159265359 (sqrt.f32 u1))))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 1 (/.f32 -50000000000/314159265359 u2)))
(/.f32 (neg.f32 u2) (/.f32 -1 (*.f32 314159265359/50000000000 (sqrt.f32 u1))))
(/.f32 (neg.f32 u2) (/.f32 (/.f32 -1 (sqrt.f32 u1)) 314159265359/50000000000))
(/.f32 (/.f32 (neg.f32 u2) 50000000000/314159265359) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) 50000000000/314159265359) (/.f32 -1 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 (+.f32 (sqrt.f32 u1) 1) -1)))
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1 (+.f32 (sqrt.f32 u1) -1)) u2))
(*.f32 314159265359/50000000000 (-.f32 (*.f32 (+.f32 (sqrt.f32 u1) 1) u2) u2))
(*.f32 314159265359/50000000000 (-.f32 (+.f32 u2 (*.f32 u2 (sqrt.f32 u1))) u2))
(*.f32 314159265359/50000000000 (/.f32 1 (/.f32 1 (*.f32 u2 (sqrt.f32 u1)))))
Outputs
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
Calls

6 calls:

19.0ms
(*.f32 314159265359/50000000000 u2)
19.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
18.0ms
u1
18.0ms
(/.f32 u1 (-.f32 1 u1))
17.0ms
u2
Results
ErrorSegmentsBranch
5.9b1cosTheta_i
5.9b1u1
5.9b1u2
5.9b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
5.9b1(/.f32 u1 (-.f32 1 u1))
5.9b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 303 to 185 computations (38.9% saved)

regimes68.0ms (0.3%)

Counts
27 → 1
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (-.f32 u2 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 u1))
(*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) u2)
(/.f32 u2 (/.f32 50000000000/314159265359 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) 50000000000/314159265359)
(neg.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 -314159265359/50000000000)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 u2 -50000000000/314159265359))
(*.f32 314159265359/50000000000 (/.f32 u2 (/.f32 1 (sqrt.f32 u1))))
(*.f32 314159265359/50000000000 (/.f32 (sqrt.f32 u1) (/.f32 1 u2)))
(/.f32 1 (/.f32 50000000000/314159265359 (*.f32 u2 (sqrt.f32 u1))))
(/.f32 314159265359/100000000000 (/.f32 (/.f32 1/2 u2) (sqrt.f32 u1)))
(/.f32 314159265359/50000000000 (/.f32 1 (*.f32 u2 (sqrt.f32 u1))))
(/.f32 u2 (*.f32 (/.f32 1 (sqrt.f32 u1)) 50000000000/314159265359))
(/.f32 (sqrt.f32 u1) (*.f32 (/.f32 1 u2) 50000000000/314159265359))
(/.f32 (sqrt.f32 u1) (/.f32 1 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 u2 -314159265359/50000000000) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 314159265359/50000000000) (/.f32 1 (sqrt.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) (/.f32 -1 u2))
(/.f32 (/.f32 (sqrt.f32 u1) 50000000000/314159265359) (/.f32 1 u2))
(*.f32 (neg.f32 u2) (/.f32 -1 (/.f32 50000000000/314159265359 (sqrt.f32 u1))))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 1 (/.f32 -50000000000/314159265359 u2)))
(/.f32 (neg.f32 u2) (/.f32 -1 (*.f32 314159265359/50000000000 (sqrt.f32 u1))))
(/.f32 (neg.f32 u2) (/.f32 (/.f32 -1 (sqrt.f32 u1)) 314159265359/50000000000))
(/.f32 (/.f32 (neg.f32 u2) 50000000000/314159265359) (/.f32 -1 (sqrt.f32 u1)))
(/.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) 50000000000/314159265359) (/.f32 -1 u2))
Outputs
(*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) u2)
Calls

4 calls:

16.0ms
(*.f32 314159265359/50000000000 u2)
16.0ms
u2
15.0ms
u1
13.0ms
cosTheta_i
Results
ErrorSegmentsBranch
11.2b1cosTheta_i
11.2b1u1
11.2b1u2
11.2b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 226 to 135 computations (40.3% saved)

regimes15.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (-.f32 u2 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 u1))
Outputs
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
Calls

3 calls:

6.0ms
cosTheta_i
4.0ms
u2
4.0ms
u1
Results
ErrorSegmentsBranch
11.3b1cosTheta_i
11.3b1u1
11.3b1u2
Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes12.0ms (0.1%)

Accuracy

Total -18.5b remaining (-163.5%)

Threshold costs -18.5b (-163.5%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (-.f32 u2 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
Outputs
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
Calls

3 calls:

5.0ms
cosTheta_i
3.0ms
u1
3.0ms
u2
Results
ErrorSegmentsBranch
11.3b1cosTheta_i
11.3b1u1
11.3b1u2
Compiler

Compiled 26 to 19 computations (26.9% saved)

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065666
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(if (<=.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) -13421773/268435456) (*.f32 (sqrt.f32 u1) (sin.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2)))) (if (<=.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 9059697/67108864) (/.f32 1/2 (/.f32 (+.f32 (*.f32 u2 314159265359/600000000000) (/.f32 25000000000/314159265359 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(if (<=.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) -13421773/268435456) (*.f32 (sqrt.f32 u1) (sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359)))) (if (<=.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 9059697/67108864) (/.f32 1/2 (/.f32 (+.f32 (*.f32 u2 314159265359/600000000000) (/.f32 25000000000/314159265359 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(if (<=.f32 (*.f32 314159265359/50000000000 u2) 9059697/67108864) (/.f32 1/2 (/.f32 (+.f32 (*.f32 u2 314159265359/600000000000) (/.f32 25000000000/314159265359 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 1/2 (/.f32 (+.f32 (*.f32 u2 314159265359/600000000000) (/.f32 25000000000/314159265359 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 (*.f32 u2 314159265359/300000000000) (/.f32 50000000000/314159265359 u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) u2)
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (-.f32 u2 u2))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(if (<=.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) -13421773/268435456) (*.f32 (sqrt.f32 u1) (sin.f32 (/.f32 314159265359/50000000000 (/.f32 1 u2)))) (if (<=.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 9059697/67108864) (/.f32 1/2 (/.f32 (+.f32 (*.f32 u2 314159265359/600000000000) (/.f32 25000000000/314159265359 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(if (<=.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) -13421773/268435456) (*.f32 (sqrt.f32 u1) (sin.f32 (-.f32 u2 (/.f32 u2 -50000000000/264159265359)))) (if (<=.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 9059697/67108864) (/.f32 1/2 (/.f32 (+.f32 (*.f32 u2 314159265359/600000000000) (/.f32 25000000000/314159265359 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(if (<=.f32 (*.f32 314159265359/50000000000 u2) 9059697/67108864) (/.f32 1/2 (/.f32 (+.f32 (*.f32 u2 314159265359/600000000000) (/.f32 25000000000/314159265359 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 1/2 (/.f32 (+.f32 (*.f32 u2 314159265359/600000000000) (/.f32 25000000000/314159265359 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 (*.f32 u2 314159265359/300000000000) (/.f32 50000000000/314159265359 u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 (sqrt.f32 u1) 314159265359/50000000000) u2)
(*.f32 u2 (/.f32 (sqrt.f32 u1) 50000000000/314159265359))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (-.f32 u2 u2))
Compiler

Compiled 272 to 210 computations (22.8% saved)

soundness192.0ms (1%)

Algorithm
2×egg-herbie
Rules
1828×rational.json-simplify-63
1382×rational.json-simplify-63
1162×rational.json-simplify-1
778×rational.json-simplify-24
594×rational.json-simplify-2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05196644
116086596
269126596
04075650
113875336
263555316
Stop Event
1×node limit
1×node limit
Compiler

Compiled 62 to 44 computations (29% saved)

end145.0ms (0.7%)

Compiler

Compiled 233 to 166 computations (28.8% saved)

Profiling

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