Details

Time bar (total: 10.8s)

analyze154.0ms (1.4%)

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

Compiled 37 to 28 computations (24.3% saved)

sample1.8s (17.2%)

Results
1.8s8256×body256valid
1.0msbody256precondition
Bogosity

preprocess32.0ms (0.3%)

Algorithm
egg-herbie
Rules
66×sub-neg
48×fma-def
42×+-commutative
26×*-commutative
24×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027132
142132
252132
369132
489132
5115132
6146132
7193132
8237132
9246132
10249132
033
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 cosTheta_i)))
(*.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (cos.f32 (*.f32 314159265359/50000000000 u1)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 cosTheta_i)))
(*.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (cos.f32 (*.f32 314159265359/50000000000 u1)))
(*.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (cos.f32 (*.f32 u1 314159265359/50000000000)))
Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify15.0ms (0.1%)

Algorithm
egg-herbie
Rules
22×sub-neg
14×+-commutative
12×fma-def
*-commutative
div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01333
11933
22333
33033
43833
54833
66133
77933
89233
99533
109633
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))

eval0.0ms (0%)

Compiler

Compiled 14 to 11 computations (21.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
98.8%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
Compiler

Compiled 14 to 11 computations (21.4% saved)

localize44.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.6%
(/.f32 u1 (-.f32 1 u1))
99.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
99.5%
(cos.f32 (*.f32 314159265359/50000000000 u2))
99.1%
(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 39 to 27 computations (30.8% saved)

series7.0ms (0.1%)

Counts
4 → 36
Calls

15 calls:

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

rewrite83.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1242×log-prod
770×pow-prod-down
610×pow-prod-up
566×pow-exp
542×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01364
126664
2328764
Stop Event
node limit
Counts
4 → 125
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 u2)
(cos.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 u1 (-.f32 1 u1))
Outputs
(+.f32 0 (*.f32 314159265359/50000000000 u2))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2)) (cbrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2)))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (*.f32 314159265359/50000000000 u2) 1)
(pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 3)
(pow.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) 1/2)
(pow.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)
(sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))
(log.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 314159265359/50000000000 u2))))
(cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3))
(expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (*.f32 (log.f32 (*.f32 314159265359/50000000000 u2)) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 314159265359/50000000000 u2)) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2))) 3))
(exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3)) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2))) 2))
(log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 0 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (cos.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (cos.f32 1)) (*.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (sin.f32 1)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(*.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)
(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 1/2)
(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) 1/3)
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 0 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)
(/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)
(pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 1/2)
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 2))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 0 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(*.f32 u1 (/.f32 1 (-.f32 1 u1)))
(*.f32 1 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (*.f32 u1 u1)) (*.f32 (cbrt.f32 u1) (/.f32 1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) (/.f32 1 (-.f32 1 u1))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4))
(*.f32 (neg.f32 u1) (/.f32 1 (neg.f32 (-.f32 1 u1))))
(*.f32 (/.f32 1 (-.f32 1 u1)) u1)
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) -2) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (cbrt.f32 (*.f32 u1 u1)) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))
(*.f32 (/.f32 (cbrt.f32 (*.f32 u1 u1)) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (/.f32 (cbrt.f32 (*.f32 u1 u1)) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 5/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))
(*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))
(*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2) 1/2)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 2/3)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 4)
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1)
(pow.f32 (/.f32 (-.f32 (/.f32 1 u1) 1) 1) -1)
(neg.f32 (/.f32 u1 (neg.f32 (-.f32 1 u1))))
(sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2))
(log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 u1)))))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))
(cbrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))
(expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1) 1))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2))
(exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) 2))
(exp.f32 (*.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 2))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
(exp.f32 (*.f32 (*.f32 2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))
(exp.f32 (*.f32 (log.f32 (-.f32 (/.f32 1 u1) 1)) -1))
(log1p.f32 (expm1.f32 (/.f32 u1 (-.f32 1 u1))))

simplify87.0ms (0.8%)

Algorithm
egg-herbie
Rules
1126×associate-*r/
828×associate-*l/
620×log-prod
548×associate-+r+
530×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03994294971631
19324163
233943891
Stop Event
node limit
Counts
161 → 229
Calls
Call 1
Inputs
1
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
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(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
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(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
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 0 (*.f32 314159265359/50000000000 u2))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2)) (cbrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2)))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (*.f32 314159265359/50000000000 u2) 1)
(pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 3)
(pow.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) 1/2)
(pow.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)
(sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))
(log.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 314159265359/50000000000 u2))))
(cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3))
(expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (*.f32 (log.f32 (*.f32 314159265359/50000000000 u2)) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 314159265359/50000000000 u2)) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2))) 3))
(exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3)) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2))) 2))
(log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 0 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (cos.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (cos.f32 1)) (*.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (sin.f32 1)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(*.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)
(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 1/2)
(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) 1/3)
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 0 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)
(/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)
(pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 1/2)
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 2))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 0 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(*.f32 u1 (/.f32 1 (-.f32 1 u1)))
(*.f32 1 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (*.f32 u1 u1)) (*.f32 (cbrt.f32 u1) (/.f32 1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) (/.f32 1 (-.f32 1 u1))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4))
(*.f32 (neg.f32 u1) (/.f32 1 (neg.f32 (-.f32 1 u1))))
(*.f32 (/.f32 1 (-.f32 1 u1)) u1)
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) -2) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (cbrt.f32 (*.f32 u1 u1)) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))
(*.f32 (/.f32 (cbrt.f32 (*.f32 u1 u1)) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (/.f32 (cbrt.f32 (*.f32 u1 u1)) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 5/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))
(*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))
(*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2) 1/2)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 2/3)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 4)
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1)
(pow.f32 (/.f32 (-.f32 (/.f32 1 u1) 1) 1) -1)
(neg.f32 (/.f32 u1 (neg.f32 (-.f32 1 u1))))
(sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2))
(log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 u1)))))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))
(cbrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))
(expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1) 1))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2))
(exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) 2))
(exp.f32 (*.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 2))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
(exp.f32 (*.f32 (*.f32 2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))
(exp.f32 (*.f32 (log.f32 (-.f32 (/.f32 1 u1) 1)) -1))
(log1p.f32 (expm1.f32 (/.f32 u1 (-.f32 1 u1))))
Outputs
1
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
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(fma.f32 -1/2 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) u1)) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) u1))))
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(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
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(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (*.f32 1/2 (sqrt.f32 -1)) (/.f32 u1 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (/.f32 (*.f32 1/2 (sqrt.f32 -1)) u1) (cos.f32 (*.f32 u2 314159265359/50000000000))))
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(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (*.f32 u2 314159265359/50000000000)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000)))))
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(fma.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 u2 314159265359/50000000000))) (fma.f32 3/8 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (*.f32 u1 u1) (sqrt.f32 -1))) (fma.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 5/16 (*.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
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(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
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u1
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-1
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(-.f32 (/.f32 -1 (*.f32 u1 u1)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (+.f32 1 (/.f32 1 u1))))
-1
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(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
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(*.f32 u2 314159265359/50000000000)
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(*.f32 u2 314159265359/50000000000)
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(*.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) -2) u1) (cbrt.f32 (-.f32 1 u1)))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) -2) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) -2) (cbrt.f32 (-.f32 1 u1))) u1)
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 5/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))
(*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))
(/.f32 (+.f32 u1 (*.f32 (fma.f32 u1 u1 u1) u1)) (-.f32 1 (pow.f32 u1 3)))
(*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))
(*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 1 u1))
(/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(/.f32 u1 (-.f32 1 u1))
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)
(/.f32 u1 (-.f32 1 u1))
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)
(/.f32 u1 (-.f32 1 u1))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2) 1/2)
(/.f32 u1 (-.f32 1 u1))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)
(/.f32 u1 (-.f32 1 u1))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 2/3)
(*.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 4)
(/.f32 u1 (-.f32 1 u1))
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1)
(/.f32 1 (+.f32 (/.f32 1 u1) -1))
(/.f32 1 (+.f32 -1 (/.f32 1 u1)))
(pow.f32 (/.f32 (-.f32 (/.f32 1 u1) 1) 1) -1)
(/.f32 1 (+.f32 (/.f32 1 u1) -1))
(/.f32 1 (+.f32 -1 (/.f32 1 u1)))
(neg.f32 (/.f32 u1 (neg.f32 (-.f32 1 u1))))
(/.f32 u1 (-.f32 1 u1))
(sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2))
(/.f32 u1 (-.f32 1 u1))
(log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 u1 (-.f32 1 u1))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 u1 (-.f32 1 u1))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))
(/.f32 u1 (-.f32 1 u1))
(cbrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))
(/.f32 u1 (-.f32 1 u1))
(expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 u1 (-.f32 1 u1))
(exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 u1 (-.f32 1 u1))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(/.f32 u1 (-.f32 1 u1))
(exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1) 1))
(/.f32 u1 (-.f32 1 u1))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2))
(/.f32 u1 (-.f32 1 u1))
(exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) 2))
(/.f32 u1 (-.f32 1 u1))
(exp.f32 (*.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 2))
(/.f32 u1 (-.f32 1 u1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
(/.f32 u1 (-.f32 1 u1))
(exp.f32 (*.f32 (*.f32 2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2))
(/.f32 u1 (-.f32 1 u1))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))
(/.f32 u1 (-.f32 1 u1))
(exp.f32 (*.f32 (log.f32 (-.f32 (/.f32 1 u1) 1)) -1))
(/.f32 1 (+.f32 (/.f32 1 u1) -1))
(/.f32 1 (+.f32 -1 (/.f32 1 u1)))
(log1p.f32 (expm1.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 u1 (-.f32 1 u1))

eval126.0ms (1.2%)

Compiler

Compiled 4359 to 3374 computations (22.6% saved)

prune92.0ms (0.9%)

Pruning

31 alts after pruning (30 fresh and 1 done)

PrunedKeptTotal
New19930229
Fresh000
Picked011
Done000
Total19931230
Accurracy
99.7%
Counts
230 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.6%
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
89.4%
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3)
97.2%
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)
98.3%
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
75.9%
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
98.2%
(*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
84.1%
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
98.9%
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))
97.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 (cos.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (cos.f32 1)) (*.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (sin.f32 1))))
96.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) (cbrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
97.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
98.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
97.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2))))
98.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))))
98.7%
(*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
56.9%
(*.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
96.8%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 5/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
98.1%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
98.7%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
98.6%
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
95.0%
(*.f32 (sqrt.f32 (exp.f32 (*.f32 (*.f32 3 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
96.3%
(*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
73.0%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
77.7%
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
93.1%
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2)))
80.5%
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
89.0%
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1/3))
90.4%
(exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
Compiler

Compiled 1152 to 929 computations (19.4% saved)

localize57.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2))))
99.5%
(cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2)))
99.1%
(*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2)
98.9%
(*.f32 98696044010906577398881/2500000000000000000000 u2)
Compiler

Compiled 56 to 38 computations (32.1% saved)

series3.0ms (0%)

Counts
4 → 44
Calls

15 calls:

TimeVariablePointExpression
0.0ms
u2
@0
(*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2)
0.0ms
u2
@inf
(*.f32 98696044010906577398881/2500000000000000000000 u2)
0.0ms
u2
@-inf
(*.f32 98696044010906577398881/2500000000000000000000 u2)
0.0ms
u2
@0
(*.f32 98696044010906577398881/2500000000000000000000 u2)
0.0ms
u2
@inf
(*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2)

rewrite185.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
1474×log-prod
726×pow-prod-up
670×pow-exp
588×prod-diff
522×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01584
130864
2377264
Stop Event
node limit
Counts
4 → 99
Calls
Call 1
Inputs
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2)
(cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2))))
Outputs
(+.f32 0 (*.f32 98696044010906577398881/2500000000000000000000 u2))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) u2)) (cbrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) u2)))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) u2))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) u2))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) u2))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2))) 1)
(pow.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) 1)
(pow.f32 (cbrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2)) 3)
(pow.f32 (pow.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) 3) 1/3)
(pow.f32 (*.f32 314159265359/50000000000 (sqrt.f32 u2)) 2)
(sqrt.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (*.f32 u2 u2)))
(log.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) u2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2))))
(cbrt.f32 (pow.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) 3))
(expm1.f32 (log1p.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2)))
(exp.f32 (log.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2)))
(exp.f32 (*.f32 (log.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2)) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2)) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2))) 1/3))
(exp.f32 (*.f32 (log.f32 (*.f32 314159265359/50000000000 (sqrt.f32 u2))) 2))
(log1p.f32 (expm1.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2)))
(+.f32 0 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2))) (cbrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))) 1)
(pow.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) 1)
(pow.f32 (*.f32 314159265359/50000000000 u2) 2)
(pow.f32 (pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 2) 3)
(pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 6)
(pow.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)) 1/2)
(pow.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 6) 1/3)
(pow.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3) 2/3)
(pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 4)
(sqrt.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)))
(log.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 6))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) 3) (pow.f32 u2 3)))
(expm1.f32 (log1p.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
(exp.f32 (*.f32 2 (log.f32 (*.f32 314159265359/50000000000 u2))))
(exp.f32 (*.f32 (*.f32 2 (log.f32 (*.f32 314159265359/50000000000 u2))) 1))
(exp.f32 (*.f32 (*.f32 (*.f32 2 (log.f32 (*.f32 314159265359/50000000000 u2))) 1) 1))
(exp.f32 (*.f32 (log.f32 (*.f32 314159265359/50000000000 u2)) 2))
(exp.f32 (*.f32 (*.f32 (*.f32 2 (log.f32 (*.f32 314159265359/50000000000 u2))) 1/2) 2))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 314159265359/50000000000 u2)) 1) 2))
(exp.f32 (*.f32 (*.f32 2 (log.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)))) 3))
(exp.f32 (*.f32 (log.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4))) 1/2))
(exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 6)) 1/3))
(log1p.f32 (expm1.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
(+.f32 0 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (cos.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (cos.f32 1)) (*.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (sin.f32 1)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(*.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)
(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) 1/3)
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 0 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)
(/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 2))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))

simplify77.0ms (0.7%)

Algorithm
egg-herbie
Rules
1332×associate-/r*
1212×associate-/l*
644×associate-*r/
462×log-prod
456×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03263629
17363453
226563197
Stop Event
node limit
Counts
143 → 179
Calls
Call 1
Inputs
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
1
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 -314159265359/50000000000 u2))
(cos.f32 (*.f32 -314159265359/50000000000 u2))
(cos.f32 (*.f32 -314159265359/50000000000 u2))
(cos.f32 (*.f32 -314159265359/50000000000 u2))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 0 (*.f32 98696044010906577398881/2500000000000000000000 u2))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) u2)) (cbrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) u2)))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) u2))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) u2))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) u2))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2))) 1)
(pow.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) 1)
(pow.f32 (cbrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2)) 3)
(pow.f32 (pow.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) 3) 1/3)
(pow.f32 (*.f32 314159265359/50000000000 (sqrt.f32 u2)) 2)
(sqrt.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (*.f32 u2 u2)))
(log.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) u2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2))))
(cbrt.f32 (pow.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) 3))
(expm1.f32 (log1p.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2)))
(exp.f32 (log.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2)))
(exp.f32 (*.f32 (log.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2)) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2)) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2))) 1/3))
(exp.f32 (*.f32 (log.f32 (*.f32 314159265359/50000000000 (sqrt.f32 u2))) 2))
(log1p.f32 (expm1.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2)))
(+.f32 0 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2))) (cbrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))) 1)
(pow.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) 1)
(pow.f32 (*.f32 314159265359/50000000000 u2) 2)
(pow.f32 (pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 2) 3)
(pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 6)
(pow.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)) 1/2)
(pow.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 6) 1/3)
(pow.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3) 2/3)
(pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 4)
(sqrt.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)))
(log.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 6))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) 3) (pow.f32 u2 3)))
(expm1.f32 (log1p.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
(exp.f32 (*.f32 2 (log.f32 (*.f32 314159265359/50000000000 u2))))
(exp.f32 (*.f32 (*.f32 2 (log.f32 (*.f32 314159265359/50000000000 u2))) 1))
(exp.f32 (*.f32 (*.f32 (*.f32 2 (log.f32 (*.f32 314159265359/50000000000 u2))) 1) 1))
(exp.f32 (*.f32 (log.f32 (*.f32 314159265359/50000000000 u2)) 2))
(exp.f32 (*.f32 (*.f32 (*.f32 2 (log.f32 (*.f32 314159265359/50000000000 u2))) 1/2) 2))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 314159265359/50000000000 u2)) 1) 2))
(exp.f32 (*.f32 (*.f32 2 (log.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)))) 3))
(exp.f32 (*.f32 (log.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4))) 1/2))
(exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 6)) 1/3))
(log1p.f32 (expm1.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
(+.f32 0 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (cos.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (cos.f32 1)) (*.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (sin.f32 1)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(*.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)
(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) 1/3)
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 0 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)
(/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 2))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
Outputs
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 u2 (*.f32 98696044010906577398881/2500000000000000000000 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 u2 (*.f32 98696044010906577398881/2500000000000000000000 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 u2 (*.f32 98696044010906577398881/2500000000000000000000 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 u2 (*.f32 98696044010906577398881/2500000000000000000000 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 u2 (*.f32 98696044010906577398881/2500000000000000000000 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 u2 (*.f32 98696044010906577398881/2500000000000000000000 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 u2 (*.f32 98696044010906577398881/2500000000000000000000 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 u2 (*.f32 98696044010906577398881/2500000000000000000000 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 u2 (*.f32 98696044010906577398881/2500000000000000000000 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 u2 (*.f32 98696044010906577398881/2500000000000000000000 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 u2 (*.f32 98696044010906577398881/2500000000000000000000 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 u2 (*.f32 98696044010906577398881/2500000000000000000000 u2))
1
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(fma.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000 1)
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))
(fma.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000 (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 -314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 -314159265359/50000000000))
(cos.f32 (*.f32 -314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 -314159265359/50000000000))
(cos.f32 (*.f32 -314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 -314159265359/50000000000))
(cos.f32 (*.f32 -314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 -314159265359/50000000000))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1))
(+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) u1)) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1)))
(fma.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1) (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1) (/.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 u1 -1/2)) (sqrt.f32 -1)))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) u1)) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1))))
(fma.f32 -1/2 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (fma.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1) (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1)) (*.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1)) (/.f32 1 u1)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (cos.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1)))))
(fma.f32 -1/2 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (fma.f32 -1/2 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) u1)) (fma.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1) (*.f32 -1/2 (*.f32 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
(+.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1)) (*.f32 -1/2 (+.f32 (*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1)) (/.f32 1 u1))) (*.f32 (/.f32 (+.f32 1 (*.f32 -1/2 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (cos.f32 (*.f32 u2 314159265359/50000000000))))))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1)))
(fma.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1) (*.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(fma.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1) (*.f32 (/.f32 (*.f32 1/2 (sqrt.f32 -1)) u1) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (*.f32 u2 314159265359/50000000000)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1))))
(fma.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 u2 314159265359/50000000000))) (fma.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1) (*.f32 3/8 (*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) u1) (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1)) (*.f32 (*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) u1) (sqrt.f32 -1)) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (*.f32 u2 314159265359/50000000000)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (cos.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1)))))
(fma.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 u2 314159265359/50000000000))) (fma.f32 3/8 (*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) u1) (/.f32 (sqrt.f32 -1) u1)) (fma.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1) (*.f32 5/16 (*.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
(+.f32 (fma.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1) (*.f32 (/.f32 (*.f32 1/2 (sqrt.f32 -1)) u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 (*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 u1 u1)) (sqrt.f32 -1)) (+.f32 3/8 (/.f32 5/16 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
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(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) 1/3)
(cos.f32 (*.f32 u2 314159265359/50000000000))
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)
(cos.f32 (*.f32 u2 314159265359/50000000000))
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(exp.f32 (*.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1) 1))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1/3))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(+.f32 0 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 3 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) 1))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 3))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1/3))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 2))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

localize51.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.7%
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
99.6%
(/.f32 u1 (-.f32 1 u1))
Compiler

Compiled 19 to 13 computations (31.6% saved)

series1.0ms (0%)

Counts
1 → 8
Calls

3 calls:

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

rewrite58.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1732×pow1
1608×add-exp-log
1608×log1p-expm1-u
1608×expm1-log1p-u
1576×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
116717
2215717
Stop Event
node limit
Counts
1 → 28
Calls
Call 1
Inputs
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
Outputs
(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 u1) (pow.f32 (/.f32 1 (-.f32 1 u1)) 1/2))
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 1 u1))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))

simplify78.0ms (0.7%)

Algorithm
egg-herbie
Rules
1736×times-frac
1560×fma-def
1342×fma-neg
1044×associate-/l*
472×associate-*r/
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01111282
12521140
26641014
32165872
47633868
Stop Event
node limit
Counts
36 → 65
Calls
Call 1
Inputs
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 u1) (pow.f32 (/.f32 1 (-.f32 1 u1)) 1/2))
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 1 u1))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
Outputs
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1)))
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (sqrt.f32 -1)) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (sqrt.f32 -1)) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))) (/.f32 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))))
(+.f32 (sqrt.f32 -1) (*.f32 (+.f32 (/.f32 3/4 u1) 1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (fma.f32 -1/2 (/.f32 (fma.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))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (sqrt.f32 -1))) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (sqrt.f32 -1))) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1)) (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) (pow.f32 u1 3)))) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (+.f32 (sqrt.f32 -1) (*.f32 (+.f32 (/.f32 3/4 u1) 1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1)))) (/.f32 -5/16 (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))))
(+.f32 (sqrt.f32 -1) (fma.f32 (/.f32 -1/2 (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (+.f32 3/4 (/.f32 5/8 u1)) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1))))
(fma.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1)) (sqrt.f32 -1))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))) (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))
(+.f32 (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 5/16 (*.f32 u1 u1)) (+.f32 1/2 (/.f32 3/8 u1)))))
(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(+.f32 1 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 1 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(+.f32 1 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))
(+.f32 1 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 u1) (pow.f32 (/.f32 1 (-.f32 1 u1)) 1/2))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (sqrt.f32 u1) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (fabs.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 1 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (fabs.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 1 u1))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (sqrt.f32 u1) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)
(+.f32 1 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(+.f32 1 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)
(+.f32 1 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
(+.f32 1 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 1 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 1 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 1 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 1 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 1 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

localize46.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.4%
(sqrt.f32 (-.f32 1 u1))
99.1%
(/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1))
99.1%
(*.f32 u2 314159265359/50000000000)
99.0%
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
Compiler

Compiled 42 to 28 computations (33.3% saved)

series4.0ms (0%)

Counts
4 → 44
Calls

15 calls:

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

rewrite108.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1450×log-prod
676×prod-diff
642×pow-exp
508×expm1-udef
504×log1p-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01468
129568
2384868
Stop Event
node limit
Counts
4 → 151
Calls
Call 1
Inputs
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(*.f32 u2 314159265359/50000000000)
(/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1))
(sqrt.f32 (-.f32 1 u1))
Outputs
(+.f32 0 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 1 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(*.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))))
(*.f32 (cbrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))) (cbrt.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2) (*.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (/.f32 1 (neg.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 u1 -1/2)))
(*.f32 (/.f32 1 (cbrt.f32 (/.f32 (-.f32 1 u1) u1))) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (cbrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(*.f32 (/.f32 1 (sqrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2) 1) (/.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (pow.f32 u1 -1/2)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2) (cbrt.f32 (/.f32 (-.f32 1 u1) u1))) (cbrt.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2) (sqrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) (/.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(*.f32 (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 1) (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(*.f32 (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (pow.f32 u1 -1/2)))
(*.f32 (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1))) (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (cbrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(*.f32 (*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) 1) (sqrt.f32 u1))
(*.f32 (*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 u1)) (cbrt.f32 (sqrt.f32 u1)))
(*.f32 (*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (pow.f32 u1 1/4)) (pow.f32 u1 1/4))
(*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (neg.f32 (sqrt.f32 (-.f32 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(pow.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)
(pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))) -1)
(pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))) 1) -1)
(neg.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (neg.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(sqrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
(cbrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3) (pow.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) 3)))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 2))
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (cos.f32 (*.f32 u2 314159265359/50000000000)))) -1))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 0 (*.f32 u2 314159265359/50000000000))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2)) (cbrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2)))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000))) 1)
(pow.f32 (*.f32 u2 314159265359/50000000000) 1)
(pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 3)
(pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) 2)
(sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))
(log.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 314159265359/50000000000))))
(cbrt.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3))
(expm1.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000)))
(exp.f32 (log.f32 (*.f32 u2 314159265359/50000000000)))
(exp.f32 (*.f32 (log.f32 (*.f32 u2 314159265359/50000000000)) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 u2 314159265359/50000000000)) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 u2 314159265359/50000000000))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000))) 2))
(log1p.f32 (expm1.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 0 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 1)
(*.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(*.f32 (sqrt.f32 (-.f32 1 u1)) (pow.f32 u1 -1/2))
(*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) 1)
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(*.f32 (cbrt.f32 (/.f32 (-.f32 1 u1) u1)) (cbrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(*.f32 (cbrt.f32 (-.f32 1 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (pow.f32 u1 -1/2)))
(*.f32 (pow.f32 (-.f32 1 u1) 1/4) (*.f32 (pow.f32 (-.f32 1 u1) 1/4) (pow.f32 u1 -1/2)))
(*.f32 (sqrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (sqrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(*.f32 (neg.f32 (sqrt.f32 (-.f32 1 u1))) (/.f32 1 (neg.f32 (sqrt.f32 u1))))
(*.f32 (pow.f32 u1 -1/2) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (/.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 u1)) (cbrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(*.f32 (/.f32 1 (cbrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 u1))))
(*.f32 (/.f32 1 (pow.f32 u1 1/4)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (pow.f32 u1 1/4)))
(*.f32 (/.f32 (cbrt.f32 (-.f32 1 u1)) 1) (/.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1)))
(*.f32 (/.f32 (cbrt.f32 (-.f32 1 u1)) (pow.f32 u1 1/4)) (/.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (pow.f32 u1 1/4)))
(*.f32 (/.f32 (pow.f32 (-.f32 1 u1) 1/4) 1) (/.f32 (pow.f32 (-.f32 1 u1) 1/4) (sqrt.f32 u1)))
(*.f32 (/.f32 (pow.f32 (-.f32 1 u1) 1/4) (cbrt.f32 u1)) (/.f32 (pow.f32 (-.f32 1 u1) 1/4) (cbrt.f32 (sqrt.f32 u1))))
(pow.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) 1)
(pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 3)
(pow.f32 (pow.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) 3) 1/3)
(pow.f32 (sqrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 2)
(pow.f32 (/.f32 (-.f32 1 u1) u1) 1/2)
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1)
(pow.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) -1)
(neg.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (neg.f32 (sqrt.f32 u1))))
(sqrt.f32 (/.f32 (-.f32 1 u1) u1))
(log.f32 (exp.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(cbrt.f32 (pow.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) 3))
(cbrt.f32 (/.f32 (pow.f32 (-.f32 1 u1) 3/2) (pow.f32 u1 3/2)))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 2))
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 1 u1) u1)) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(+.f32 0 (sqrt.f32 (-.f32 1 u1)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1)))) (cbrt.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1)))))) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u1)))) 1)
(*.f32 1 (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 (-.f32 1 u1)) 1)
(*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (-.f32 1 u1)))
(*.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 (-.f32 1 u1) 1/4) (pow.f32 (-.f32 1 u1) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 1/2))
(/.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))) (sqrt.f32 (+.f32 1 u1)))
(/.f32 (sqrt.f32 (-.f32 1 (pow.f32 u1 3))) (hypot.f32 1 (hypot.f32 u1 (sqrt.f32 u1))))
(pow.f32 (-.f32 1 u1) 1/2)
(pow.f32 (sqrt.f32 (-.f32 1 u1)) 1)
(pow.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) 3)
(pow.f32 (pow.f32 (-.f32 1 u1) 3/2) 1/3)
(pow.f32 (pow.f32 (-.f32 1 u1) 1/4) 2)
(fabs.f32 (sqrt.f32 (-.f32 1 u1)))
(log.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (-.f32 1 u1)))))
(cbrt.f32 (pow.f32 (-.f32 1 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u1))))
(hypot.f32 1 (sqrt.f32 (neg.f32 u1)))
(exp.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 u1)) 1/2))
(exp.f32 (*.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 1))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (neg.f32 u1)) 1) 1/2))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (neg.f32 u1)) 1/2) 1))
(exp.f32 (*.f32 (*.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) 3))
(exp.f32 (*.f32 (*.f32 3/2 (log1p.f32 (neg.f32 u1))) 1/3))
(exp.f32 (*.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))) 2))
(log1p.f32 (expm1.f32 (sqrt.f32 (-.f32 1 u1))))

simplify135.0ms (1.2%)

Algorithm
egg-herbie
Rules
1232×unswap-sqr
808×distribute-lft-in
758×distribute-rgt-in
468×log-prod
388×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04746091
111185765
238885675
Stop Event
node limit
Counts
195 → 272
Calls
Call 1
Inputs
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.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)
(sqrt.f32 -1)
(+.f32 (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))) (sqrt.f32 -1))
(-.f32 (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) (*.f32 1/8 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))))
(-.f32 (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/16 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))) (*.f32 1/8 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))))
(/.f32 1 (sqrt.f32 -1))
(-.f32 (/.f32 1 (sqrt.f32 -1)) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (/.f32 1 (sqrt.f32 -1)) (+.f32 (*.f32 1/8 (/.f32 1 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))))
(-.f32 (/.f32 1 (sqrt.f32 -1)) (+.f32 (*.f32 1/8 (/.f32 1 (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 1/16 (/.f32 1 (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))))
1
(+.f32 1 (*.f32 -1/2 u1))
(+.f32 1 (+.f32 (*.f32 -1/8 (pow.f32 u1 2)) (*.f32 -1/2 u1)))
(+.f32 1 (+.f32 (*.f32 -1/8 (pow.f32 u1 2)) (+.f32 (*.f32 -1/16 (pow.f32 u1 3)) (*.f32 -1/2 u1))))
(+.f32 0 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 1 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(*.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))))
(*.f32 (cbrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))) (cbrt.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2) (*.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (/.f32 1 (neg.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 u1 -1/2)))
(*.f32 (/.f32 1 (cbrt.f32 (/.f32 (-.f32 1 u1) u1))) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (cbrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(*.f32 (/.f32 1 (sqrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2) 1) (/.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (pow.f32 u1 -1/2)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2) (cbrt.f32 (/.f32 (-.f32 1 u1) u1))) (cbrt.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2) (sqrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) (/.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(*.f32 (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 1) (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(*.f32 (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (pow.f32 u1 -1/2)))
(*.f32 (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1))) (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (cbrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(*.f32 (*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) 1) (sqrt.f32 u1))
(*.f32 (*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 u1)) (cbrt.f32 (sqrt.f32 u1)))
(*.f32 (*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (pow.f32 u1 1/4)) (pow.f32 u1 1/4))
(*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (neg.f32 (sqrt.f32 (-.f32 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(pow.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)
(pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))) -1)
(pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))) 1) -1)
(neg.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (neg.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(sqrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
(cbrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3) (pow.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) 3)))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 2))
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (cos.f32 (*.f32 u2 314159265359/50000000000)))) -1))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 0 (*.f32 u2 314159265359/50000000000))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2)) (cbrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2)))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000))) 1)
(pow.f32 (*.f32 u2 314159265359/50000000000) 1)
(pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 3)
(pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) 2)
(sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))
(log.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 314159265359/50000000000))))
(cbrt.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3))
(expm1.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000)))
(exp.f32 (log.f32 (*.f32 u2 314159265359/50000000000)))
(exp.f32 (*.f32 (log.f32 (*.f32 u2 314159265359/50000000000)) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 u2 314159265359/50000000000)) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 u2 314159265359/50000000000))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000))) 2))
(log1p.f32 (expm1.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 0 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 1)
(*.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(*.f32 (sqrt.f32 (-.f32 1 u1)) (pow.f32 u1 -1/2))
(*.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) 1)
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(*.f32 (cbrt.f32 (/.f32 (-.f32 1 u1) u1)) (cbrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(*.f32 (cbrt.f32 (-.f32 1 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (pow.f32 u1 -1/2)))
(*.f32 (pow.f32 (-.f32 1 u1) 1/4) (*.f32 (pow.f32 (-.f32 1 u1) 1/4) (pow.f32 u1 -1/2)))
(*.f32 (sqrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (sqrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(*.f32 (neg.f32 (sqrt.f32 (-.f32 1 u1))) (/.f32 1 (neg.f32 (sqrt.f32 u1))))
(*.f32 (pow.f32 u1 -1/2) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (/.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 u1)) (cbrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(*.f32 (/.f32 1 (cbrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 u1))))
(*.f32 (/.f32 1 (pow.f32 u1 1/4)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (pow.f32 u1 1/4)))
(*.f32 (/.f32 (cbrt.f32 (-.f32 1 u1)) 1) (/.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1)))
(*.f32 (/.f32 (cbrt.f32 (-.f32 1 u1)) (pow.f32 u1 1/4)) (/.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (pow.f32 u1 1/4)))
(*.f32 (/.f32 (pow.f32 (-.f32 1 u1) 1/4) 1) (/.f32 (pow.f32 (-.f32 1 u1) 1/4) (sqrt.f32 u1)))
(*.f32 (/.f32 (pow.f32 (-.f32 1 u1) 1/4) (cbrt.f32 u1)) (/.f32 (pow.f32 (-.f32 1 u1) 1/4) (cbrt.f32 (sqrt.f32 u1))))
(pow.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) 1)
(pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 3)
(pow.f32 (pow.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) 3) 1/3)
(pow.f32 (sqrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 2)
(pow.f32 (/.f32 (-.f32 1 u1) u1) 1/2)
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1)
(pow.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) -1)
(neg.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (neg.f32 (sqrt.f32 u1))))
(sqrt.f32 (/.f32 (-.f32 1 u1) u1))
(log.f32 (exp.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(cbrt.f32 (pow.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) 3))
(cbrt.f32 (/.f32 (pow.f32 (-.f32 1 u1) 3/2) (pow.f32 u1 3/2)))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 2))
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 1 u1) u1)) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -1))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(+.f32 0 (sqrt.f32 (-.f32 1 u1)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1)))) (cbrt.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1)))))) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u1)))) 1)
(*.f32 1 (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 (-.f32 1 u1)) 1)
(*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (-.f32 1 u1)))
(*.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 (-.f32 1 u1) 1/4) (pow.f32 (-.f32 1 u1) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 1/2))
(/.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))) (sqrt.f32 (+.f32 1 u1)))
(/.f32 (sqrt.f32 (-.f32 1 (pow.f32 u1 3))) (hypot.f32 1 (hypot.f32 u1 (sqrt.f32 u1))))
(pow.f32 (-.f32 1 u1) 1/2)
(pow.f32 (sqrt.f32 (-.f32 1 u1)) 1)
(pow.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) 3)
(pow.f32 (pow.f32 (-.f32 1 u1) 3/2) 1/3)
(pow.f32 (pow.f32 (-.f32 1 u1) 1/4) 2)
(fabs.f32 (sqrt.f32 (-.f32 1 u1)))
(log.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (-.f32 1 u1)))))
(cbrt.f32 (pow.f32 (-.f32 1 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u1))))
(hypot.f32 1 (sqrt.f32 (neg.f32 u1)))
(exp.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 u1)) 1/2))
(exp.f32 (*.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 1))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (neg.f32 u1)) 1) 1/2))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (neg.f32 u1)) 1/2) 1))
(exp.f32 (*.f32 (*.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) 3))
(exp.f32 (*.f32 (*.f32 3/2 (log1p.f32 (neg.f32 u1))) 1/3))
(exp.f32 (*.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))) 2))
(log1p.f32 (expm1.f32 (sqrt.f32 (-.f32 1 u1))))
Outputs
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
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(sqrt.f32 (-.f32 1 u1))
(log.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))
(sqrt.f32 (-.f32 1 u1))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (-.f32 1 u1)))))
(sqrt.f32 (-.f32 1 u1))
(cbrt.f32 (pow.f32 (-.f32 1 u1) 3/2))
(sqrt.f32 (-.f32 1 u1))
(expm1.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u1))))
(sqrt.f32 (-.f32 1 u1))
(hypot.f32 1 (sqrt.f32 (neg.f32 u1)))
(exp.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))))
(sqrt.f32 (-.f32 1 u1))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 u1)) 1/2))
(sqrt.f32 (-.f32 1 u1))
(exp.f32 (*.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 1))
(sqrt.f32 (-.f32 1 u1))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (neg.f32 u1)) 1) 1/2))
(sqrt.f32 (-.f32 1 u1))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (neg.f32 u1)) 1/2) 1))
(sqrt.f32 (-.f32 1 u1))
(exp.f32 (*.f32 (*.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 1) 1))
(sqrt.f32 (-.f32 1 u1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) 3))
(sqrt.f32 (-.f32 1 u1))
(exp.f32 (*.f32 (*.f32 3/2 (log1p.f32 (neg.f32 u1))) 1/3))
(sqrt.f32 (-.f32 1 u1))
(exp.f32 (*.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))) 2))
(sqrt.f32 (-.f32 1 u1))
(log1p.f32 (expm1.f32 (sqrt.f32 (-.f32 1 u1))))
(sqrt.f32 (-.f32 1 u1))

localize76.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
99.5%
(cos.f32 (*.f32 314159265359/50000000000 u2))
99.1%
(*.f32 314159265359/50000000000 u2)
97.7%
(log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
Compiler

Compiled 52 to 38 computations (26.9% saved)

series1.0ms (0%)

Counts
2 → 32
Calls

9 calls:

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

rewrite75.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1318×log-prod
816×pow-prod-down
658×pow-prod-up
598×pow-exp
542×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01544
129044
2347444
Stop Event
node limit
Counts
2 → 54
Calls
Call 1
Inputs
(log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
Outputs
(+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)
(+.f32 0 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 2 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 2 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 (cos.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (cos.f32 1)) (*.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (sin.f32 1)))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(*.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(*.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 3 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 2 (*.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 1/3 (*.f32 3 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)
(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 1/2)
(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) 1/3)
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 0 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)
(/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)
(pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 1/2)
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 3))
(exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 2))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))

simplify66.0ms (0.6%)

Algorithm
egg-herbie
Rules
1102×associate-*r/
1038×associate-+r+
964×associate-+l+
636×unswap-sqr
556×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02002792
14742668
228322502
Stop Event
node limit
Counts
86 → 113
Calls
Call 1
Inputs
1
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)
(+.f32 0 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 2 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 2 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 (cos.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (cos.f32 1)) (*.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (sin.f32 1)))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(*.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(*.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 3 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 2 (*.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 1/3 (*.f32 3 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)
(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 1/2)
(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) 1/3)
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 0 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)
(/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)
(pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 1/2)
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 3))
(exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 2))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
Outputs
1
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
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(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
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(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))
(cos.f32 (*.f32 314159265359/50000000000 u2))
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(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
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(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
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(fma.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 u2 314159265359/50000000000))) (fma.f32 3/8 (*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) u1) (/.f32 (sqrt.f32 -1) u1)) (fma.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1) (*.f32 5/16 (*.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
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(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)
(cos.f32 (*.f32 u2 314159265359/50000000000))
(+.f32 0 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(+.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 2 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(+.f32 (*.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(+.f32 (*.f32 2 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(+.f32 (*.f32 (cos.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (cos.f32 1)) (*.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (sin.f32 1)))
(fma.f32 (cos.f32 (exp.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000)))) (cos.f32 1) (*.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000)))) (sin.f32 1)))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)
(cos.f32 (*.f32 u2 314159265359/50000000000))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(cos.f32 (*.f32 u2 314159265359/50000000000))
(*.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(*.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(*.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(*.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(*.f32 3 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(*.f32 2 (*.f32 1/2 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(*.f32 1/3 (*.f32 3 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(cos.f32 (*.f32 u2 314159265359/50000000000))
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)
(cos.f32 (*.f32 u2 314159265359/50000000000))
(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 1/2)
(cos.f32 (*.f32 u2 314159265359/50000000000))
(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) 1/3)
(cos.f32 (*.f32 u2 314159265359/50000000000))
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)
(cos.f32 (*.f32 u2 314159265359/50000000000))
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(exp.f32 (*.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1) 1))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1/3))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(+.f32 0 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 3 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 1/2)
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(sqrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(sqrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1))))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) 1))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 3))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)) 1/3))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 2))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

localize172.0ms (1.6%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.2%
(*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
99.1%
(*.f32 314159265359/50000000000 u2)
98.8%
(*.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1/3)
96.9%
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1/3))
Compiler

Compiled 100 to 76 computations (24% saved)

series71.0ms (0.7%)

Counts
3 → 52
Calls

18 calls:

TimeVariablePointExpression
38.0ms
u2
@-inf
(*.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1/3)
26.0ms
u2
@inf
(*.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1/3)
1.0ms
u2
@0
(*.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1/3)
1.0ms
u1
@0
(*.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1/3)
1.0ms
u1
@inf
(*.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1/3)

rewrite100.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1588×log-prod
594×expm1-udef
588×log1p-udef
570×prod-diff
490×log-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019145
1384113
24614113
Stop Event
node limit
Counts
3 → 106
Calls
Call 1
Inputs
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1/3))
(*.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1/3)
(*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
Outputs
(+.f32 0 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 1 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(*.f32 (cbrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (cbrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
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simplify166.0ms (1.5%)

Algorithm
egg-herbie
Rules
984×unswap-sqr
842×times-frac
800×associate-+l+
796×associate-+r+
618×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04019374
19808564
232547714
Stop Event
node limit
Counts
158 → 245
Calls
Call 1
Inputs
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
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(+.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (log.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (log.f32 (cbrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))) (log.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 1/4 (log.f32 (/.f32 u1 (-.f32 1 u1)))) (log.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (log.f32 (*.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (log.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (log.f32 (*.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1) (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))
(+.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))) (*.f32 1/4 (log.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))) (log.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) 1)
(-.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (*.f32 1/2 (log1p.f32 (neg.f32 u1))))
(-.f32 (log.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 1/2 (log1p.f32 (neg.f32 u1))))
(/.f32 (+.f32 (pow.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) (pow.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)) (fma.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (-.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(/.f32 (-.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(pow.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)
(pow.f32 (cbrt.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 3)
(pow.f32 (pow.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 2)
(sqrt.f32 (pow.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2))
(log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (fma.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1)))
(cbrt.f32 (pow.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3))
(expm1.f32 (log1p.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(exp.f32 (log.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(exp.f32 (*.f32 (log.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1))
(log1p.f32 (fma.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1))
(fma.f32 1 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 1 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))
(fma.f32 1/2 (log.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 (*.f32 (cbrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (cbrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 (*.f32 (cbrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) (cbrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
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(+.f32 (log.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
(+.f32 (log.f32 (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))) (log.f32 (sqrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))))
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(+.f32 (log.f32 (*.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (log.f32 (*.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (cbrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))) (log.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (*.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (sqrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) 1)
(pow.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)
(pow.f32 (cbrt.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) 3)
(pow.f32 (pow.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) 2)
(sqrt.f32 (*.f32 (pow.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2) 9))
(log.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
(log.f32 (+.f32 1 (-.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1)))
(cbrt.f32 (pow.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 3))
(expm1.f32 (log1p.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(exp.f32 (log.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(exp.f32 (*.f32 (log.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) 1))
(log1p.f32 (-.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1))
(fma.f32 3 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
Outputs
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 u2)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 u2)) (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 (+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1))
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(*.f32 3 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(expm1.f32 (log1p.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))) (log.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2))))
(+.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (log.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3))))
(*.f32 3 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(exp.f32 (log.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))) (log.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2))))
(+.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (log.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3))))
(*.f32 3 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(exp.f32 (*.f32 (log.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) 1))
(+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))) (log.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2))))
(+.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (log.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3))))
(*.f32 3 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(log1p.f32 (-.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1))
(+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))) (log.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2))))
(+.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (log.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3))))
(*.f32 3 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(fma.f32 3 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 3 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
(+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))) (log.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2))))
(+.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (log.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3))))
(*.f32 3 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))))

eval511.0ms (4.7%)

Compiler

Compiled 21534 to 17076 computations (20.7% saved)

prune295.0ms (2.7%)

Pruning

42 alts after pruning (37 fresh and 5 done)

PrunedKeptTotal
New1031301061
Fresh18725
Picked011
Done145
Total1050421092
Accurracy
99.8%
Counts
1092 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.4%
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3)
98.4%
(pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))) -1)
85.5%
(pow.f32 (exp.f32 1/3) (*.f32 3 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000))))))
77.2%
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
97.2%
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)
98.1%
(/.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 u1 -1/2)) (sqrt.f32 (-.f32 1 u1)))
98.4%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
98.0%
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (/.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))) (sqrt.f32 (+.f32 u1 1))) (sqrt.f32 u1)))
85.7%
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (+.f32 1 (*.f32 u1 -1/2)) (sqrt.f32 u1)))
98.5%
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
72.9%
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 1 (sqrt.f32 u1)))
98.0%
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (neg.f32 (sqrt.f32 (-.f32 1 u1))) (/.f32 1 (neg.f32 (sqrt.f32 u1)))))
98.3%
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
98.3%
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
95.0%
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (exp.f32 (*.f32 (*.f32 3 (log.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 1/3)))
96.2%
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 1 u1) u1)) 1/2)))
98.4%
(/.f32 (cos.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
77.5%
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
77.4%
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
66.1%
(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
75.9%
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
67.7%
(+.f32 1 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1))
97.8%
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 u1 -1/2)))
86.6%
(*.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
84.1%
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
96.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) (cbrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
98.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
97.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
97.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2))))))
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2))))
98.7%
(*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
56.9%
(*.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
98.6%
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
73.0%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
92.9%
(sqrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 (/.f32 1 u1) -1)))
77.7%
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
77.6%
(sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))
77.6%
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
60.5%
(sqrt.f32 u1)
80.5%
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
89.0%
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1/3))
Compiler

Compiled 1302 to 1069 computations (17.9% saved)

localize79.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.5%
(cos.f32 (*.f32 314159265359/50000000000 u2))
99.5%
(*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))
99.5%
(*.f32 3 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))
99.1%
(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 59 to 45 computations (23.7% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
0.0ms
u2
@inf
(*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.0ms
u2
@0
(*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.0ms
u2
@-inf
(*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.0ms
u2
@0
(*.f32 3 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))
0.0ms
u2
@-inf
(*.f32 3 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))

rewrite63.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1724×pow1
1592×add-exp-log
1592×log1p-expm1-u
1592×expm1-log1p-u
1558×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01128
122228
2218928
Stop Event
node limit
Counts
2 → 23
Calls
Call 1
Inputs
(*.f32 3 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))
Outputs
(-.f32 (+.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)
(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) 1/3)
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(-.f32 (+.f32 1 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)
(pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (cbrt.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)
(sqrt.f32 (pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))
(log.f32 (pow.f32 (exp.f32 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cbrt.f32 (pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))
(expm1.f32 (log1p.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(log1p.f32 (expm1.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))

simplify59.0ms (0.5%)

Algorithm
egg-herbie
Rules
1894×fma-def
1330×distribute-rgt-in
1316×distribute-lft-in
1240×log-prod
1096×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079735
1182657
2633583
34032583
Stop Event
node limit
Counts
39 → 53
Calls
Call 1
Inputs
1
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
1/3
(+.f32 1/3 (*.f32 -98696044010906577398881/15000000000000000000000 (pow.f32 u2 2)))
(+.f32 1/3 (+.f32 (*.f32 -98696044010906577398881/15000000000000000000000 (pow.f32 u2 2)) (*.f32 9740909103402808085817682884085781839780052161/450000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/33750000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 1/3 (+.f32 (*.f32 -98696044010906577398881/15000000000000000000000 (pow.f32 u2 2)) (*.f32 9740909103402808085817682884085781839780052161/450000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(-.f32 (+.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)
(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) 1/3)
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(-.f32 (+.f32 1 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)
(pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (cbrt.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)
(sqrt.f32 (pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))
(log.f32 (pow.f32 (exp.f32 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cbrt.f32 (pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))
(expm1.f32 (log1p.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(log1p.f32 (expm1.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
Outputs
1
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) 1)))
(fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) 1))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
1/3
(+.f32 1/3 (*.f32 -98696044010906577398881/15000000000000000000000 (pow.f32 u2 2)))
(+.f32 1/3 (*.f32 (*.f32 u2 u2) -98696044010906577398881/15000000000000000000000))
(fma.f32 (*.f32 u2 u2) -98696044010906577398881/15000000000000000000000 1/3)
(fma.f32 u2 (*.f32 u2 -98696044010906577398881/15000000000000000000000) 1/3)
(+.f32 1/3 (+.f32 (*.f32 -98696044010906577398881/15000000000000000000000 (pow.f32 u2 2)) (*.f32 9740909103402808085817682884085781839780052161/450000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 1/3 (fma.f32 -98696044010906577398881/15000000000000000000000 (*.f32 u2 u2) (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/450000000000000000000000000000000000000000000)))
(+.f32 1/3 (fma.f32 (*.f32 u2 u2) -98696044010906577398881/15000000000000000000000 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/450000000000000000000000000000000000000000000)))
(fma.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/450000000000000000000000000000000000000000000 (fma.f32 (*.f32 u2 u2) -98696044010906577398881/15000000000000000000000 1/3))
(fma.f32 u2 (*.f32 u2 -98696044010906577398881/15000000000000000000000) (fma.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/450000000000000000000000000000000000000000000 1/3))
(+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/33750000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 1/3 (+.f32 (*.f32 -98696044010906577398881/15000000000000000000000 (pow.f32 u2 2)) (*.f32 9740909103402808085817682884085781839780052161/450000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/33750000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (+.f32 1/3 (fma.f32 -98696044010906577398881/15000000000000000000000 (*.f32 u2 u2) (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/450000000000000000000000000000000000000000000))))
(+.f32 (fma.f32 (*.f32 u2 u2) -98696044010906577398881/15000000000000000000000 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/450000000000000000000000000000000000000000000)) (fma.f32 (pow.f32 u2 6) -961389193575684075633145058384385882649239799132134631991269883031841/33750000000000000000000000000000000000000000000000000000000000000000 1/3))
(fma.f32 (pow.f32 u2 6) -961389193575684075633145058384385882649239799132134631991269883031841/33750000000000000000000000000000000000000000000000000000000000000000 (fma.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/450000000000000000000000000000000000000000000 (fma.f32 (*.f32 u2 u2) -98696044010906577398881/15000000000000000000000 1/3)))
(fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 9740909103402808085817682884085781839780052161/450000000000000000000000000000000000000000000) -98696044010906577398881/15000000000000000000000) (fma.f32 (pow.f32 u2 6) -961389193575684075633145058384385882649239799132134631991269883031841/33750000000000000000000000000000000000000000000000000000000000000000 1/3))
(-.f32 (+.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(cos.f32 (*.f32 u2 314159265359/50000000000))
(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(cos.f32 (*.f32 u2 314159265359/50000000000))
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)
(cos.f32 (*.f32 u2 314159265359/50000000000))
(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) 1/3)
(cos.f32 (*.f32 u2 314159265359/50000000000))
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)
(cos.f32 (*.f32 u2 314159265359/50000000000))
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(-.f32 (+.f32 1 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)
(+.f32 (+.f32 1 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)) -1)
(+.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3) 0)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(+.f32 (+.f32 1 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)) -1)
(+.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3) 0)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(pow.f32 (cbrt.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)
(+.f32 (+.f32 1 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)) -1)
(+.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3) 0)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(pow.f32 (pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)
(+.f32 (+.f32 1 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)) -1)
(+.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3) 0)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(pow.f32 (sqrt.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)
(+.f32 (+.f32 1 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)) -1)
(+.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3) 0)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(sqrt.f32 (pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))
(+.f32 (+.f32 1 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)) -1)
(+.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3) 0)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(log.f32 (pow.f32 (exp.f32 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (+.f32 1 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)) -1)
(+.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3) 0)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(cbrt.f32 (pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))
(+.f32 (+.f32 1 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)) -1)
(+.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3) 0)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(expm1.f32 (log1p.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (+.f32 1 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)) -1)
(+.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3) 0)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(exp.f32 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (+.f32 1 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)) -1)
(+.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3) 0)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(log1p.f32 (expm1.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (+.f32 1 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)) -1)
(+.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3) 0)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)

localize6.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize31.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.7%
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
99.6%
(/.f32 u1 (-.f32 1 u1))
98.9%
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
Compiler

Compiled 28 to 20 computations (28.6% saved)

series6.0ms (0.1%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
3.0ms
u1
@inf
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
1.0ms
u1
@0
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
1.0ms
u1
@-inf
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
0.0ms
u1
@inf
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
0.0ms
u1
@0
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))

rewrite91.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
874×log-prod
674×exp-prod
602×prod-exp
506×pow-prod-down
456×pow-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01040
121134
2263934
Stop Event
node limit
Counts
2 → 84
Calls
Call 1
Inputs
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
Outputs
(+.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(*.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1) 1/2))
(exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/3) 3/2))
(exp.f32 (*.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 3/2))
(exp.f32 (*.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 1))
(exp.f32 (*.f32 (*.f32 2/3 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 3/4))
(exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) 1/3))
(exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6)) 3))
(exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) 2))
(exp.f32 (*.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3/4) 2))
(exp.f32 (+.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/3) (log.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6))))
(exp.f32 (+.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) (log.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6))))
(exp.f32 (+.f32 (log.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6)) (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/3)))
(exp.f32 (+.f32 (log.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6)) (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)))
(exp.f32 (+.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3/4)))
(exp.f32 (+.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3/4) (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))))
(exp.f32 (+.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3/4) (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3/4)))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 0 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)
(*.f32 1 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(*.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2) (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (cbrt.f32 u1) (/.f32 1 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6) (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6))
(/.f32 1 (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 1 (/.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 u1)))
(/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (neg.f32 (-.f32 1 u1))))
(/.f32 (neg.f32 (cbrt.f32 u1)) (neg.f32 (cbrt.f32 (-.f32 1 u1))))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/3)
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2/3)
(pow.f32 (E.f32) (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)
(pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2) 3/2)
(pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2) 1/6)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/9)
(pow.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6) 2)
(pow.f32 (/.f32 (-.f32 1 u1) u1) -1/3)
(pow.f32 (exp.f32 1/3) (log.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (cbrt.f32 (/.f32 (-.f32 1 u1) u1)) -1)
(pow.f32 (/.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 u1)) -1)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (cbrt.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (sqrt.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(log.f32 (exp.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(expm1.f32 (log1p.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/3))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1) 1/3))
(exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/3) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3))
(exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6)) 2))
(exp.f32 (*.f32 (*.f32 2 (log.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 3/2))
(log1p.f32 (expm1.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))

simplify96.0ms (0.9%)

Algorithm
egg-herbie
Rules
1456×fma-def
556×associate-/r*
544×*-commutative
492×distribute-lft-in
470×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03084294970718
17353234
220733094
368553088
Stop Event
node limit
Counts
100 → 140
Calls
Call 1
Inputs
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 -1/2 (*.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (/.f32 1 u1))))
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 -1/2 (*.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (/.f32 1 u1))) (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/8 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3)) (*.f32 3/4 (+.f32 (*.f32 2/3 (+.f32 1 (*.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))) (*.f32 -1/9 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3)))))) (pow.f32 u1 2))))
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 -1/2 (*.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (/.f32 1 u1))) (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 1/8 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3)) (*.f32 3/4 (+.f32 (*.f32 2/3 (+.f32 1 (*.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))) (*.f32 -1/9 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3))))) (sqrt.f32 -1)) (pow.f32 u1 2)) (/.f32 (*.f32 (sqrt.f32 -1) (-.f32 (+.f32 (*.f32 1/4 (+.f32 (*.f32 -2/3 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 14)) 1/3) (+.f32 1 (*.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))) (+.f32 (*.f32 2/27 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (*.f32 -2 (-.f32 (*.f32 1/27 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (+.f32 (*.f32 2/3 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3) (+.f32 1 (*.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))) 1)))))) (*.f32 -3/8 (*.f32 (+.f32 (*.f32 2/3 (+.f32 1 (*.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))) (*.f32 -1/9 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3))) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3)))) (*.f32 1/48 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5))))) (pow.f32 u1 3)))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(cbrt.f32 -1)
(+.f32 (cbrt.f32 -1) (*.f32 -1/3 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))))
(+.f32 (*.f32 -1/3 (/.f32 (+.f32 1 (*.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (*.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (*.f32 -1/3 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1)))))
(+.f32 (*.f32 -1/3 (/.f32 (+.f32 1 (*.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (*.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (+.f32 (*.f32 1/3 (/.f32 (-.f32 (*.f32 1/27 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (+.f32 (*.f32 2/3 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3) (+.f32 1 (*.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))) 1)) (*.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 3)))) (*.f32 -1/3 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))))))
(cbrt.f32 -1)
(+.f32 (cbrt.f32 -1) (*.f32 1/3 (/.f32 (cbrt.f32 -1) u1)))
(+.f32 (*.f32 2/9 (/.f32 (cbrt.f32 -1) (pow.f32 u1 2))) (+.f32 (cbrt.f32 -1) (*.f32 1/3 (/.f32 (cbrt.f32 -1) u1))))
(+.f32 (*.f32 14/81 (/.f32 (cbrt.f32 -1) (pow.f32 u1 3))) (+.f32 (*.f32 2/9 (/.f32 (cbrt.f32 -1) (pow.f32 u1 2))) (+.f32 (cbrt.f32 -1) (*.f32 1/3 (/.f32 (cbrt.f32 -1) u1)))))
(+.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(*.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1) 1/2))
(exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/3) 3/2))
(exp.f32 (*.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 3/2))
(exp.f32 (*.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 1))
(exp.f32 (*.f32 (*.f32 2/3 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 3/4))
(exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) 1/3))
(exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6)) 3))
(exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) 2))
(exp.f32 (*.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3/4) 2))
(exp.f32 (+.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/3) (log.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6))))
(exp.f32 (+.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) (log.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6))))
(exp.f32 (+.f32 (log.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6)) (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/3)))
(exp.f32 (+.f32 (log.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6)) (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)))
(exp.f32 (+.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3/4)))
(exp.f32 (+.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3/4) (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))))
(exp.f32 (+.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3/4) (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3/4)))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 0 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)
(*.f32 1 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(*.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2) (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (cbrt.f32 u1) (/.f32 1 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6) (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6))
(/.f32 1 (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 1 (/.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 u1)))
(/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (neg.f32 (-.f32 1 u1))))
(/.f32 (neg.f32 (cbrt.f32 u1)) (neg.f32 (cbrt.f32 (-.f32 1 u1))))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/3)
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2/3)
(pow.f32 (E.f32) (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)
(pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2) 3/2)
(pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2) 1/6)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/9)
(pow.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6) 2)
(pow.f32 (/.f32 (-.f32 1 u1) u1) -1/3)
(pow.f32 (exp.f32 1/3) (log.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (cbrt.f32 (/.f32 (-.f32 1 u1) u1)) -1)
(pow.f32 (/.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 u1)) -1)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (cbrt.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (sqrt.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(log.f32 (exp.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(expm1.f32 (log1p.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/3))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1) 1/3))
(exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/3) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3))
(exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6)) 2))
(exp.f32 (*.f32 (*.f32 2 (log.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 3/2))
(log1p.f32 (expm1.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
Outputs
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 -1/2 (*.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (/.f32 1 u1))))
(fma.f32 -1/2 (/.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) u1) (sqrt.f32 -1))
(fma.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (/.f32 -1/2 u1) (sqrt.f32 -1))
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 -1/2 (*.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (/.f32 1 u1))) (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/8 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3)) (*.f32 3/4 (+.f32 (*.f32 2/3 (+.f32 1 (*.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))) (*.f32 -1/9 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3)))))) (pow.f32 u1 2))))
(+.f32 (sqrt.f32 -1) (fma.f32 -1/2 (*.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (/.f32 1 u1)) (/.f32 (fma.f32 1/8 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10))) (*.f32 3/4 (fma.f32 2/3 (+.f32 1 (*.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) (*.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10))) -1/9)))) (/.f32 (*.f32 u1 u1) (sqrt.f32 -1)))))
(+.f32 (fma.f32 -1/2 (/.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) u1) (sqrt.f32 -1)) (*.f32 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/8 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10))) (+.f32 (*.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10))) -1/12) (*.f32 (fma.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 1) 1/2)))))
(fma.f32 -1/2 (/.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) u1) (fma.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (fma.f32 3/4 (fma.f32 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 2/9 2/3) (*.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10))) 1/24)) u1) (sqrt.f32 -1)))
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(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (+.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/3) (log.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6))
(exp.f32 (+.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) (log.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6))
(exp.f32 (+.f32 (log.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6)) (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/3)))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6))
(exp.f32 (+.f32 (log.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6)) (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6))
(exp.f32 (+.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3/4)))
(exp.f32 (fma.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3/4 (*.f32 1/4 (log.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))
(exp.f32 (+.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3/4) (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))))
(exp.f32 (fma.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3/4 (*.f32 1/4 (log.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))
(exp.f32 (+.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3/4) (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3/4)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 0 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 3 (log.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 1 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2))
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2) (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (cbrt.f32 u1) (/.f32 1 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))
(*.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6) (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6))
(pow.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6) 2)
(/.f32 1 (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 1 (/.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 u1)))
(*.f32 (cbrt.f32 u1) (/.f32 1 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))
(*.f32 (cbrt.f32 u1) (/.f32 1 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (neg.f32 (-.f32 1 u1))))
(/.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (neg.f32 (cbrt.f32 u1)) (neg.f32 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (cbrt.f32 u1) (/.f32 1 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/3)
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2/3)
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(pow.f32 (E.f32) (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2) 3/2)
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2)
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2) 1/6)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/9)
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/18) (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/18))
(pow.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6) 2)
(pow.f32 (/.f32 (-.f32 1 u1) u1) -1/3)
(pow.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6) 2)
(pow.f32 (exp.f32 1/3) (log.f32 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (cbrt.f32 (/.f32 (-.f32 1 u1) u1)) -1)
(/.f32 1 (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(pow.f32 (/.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 u1)) -1)
(*.f32 (cbrt.f32 u1) (/.f32 1 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (cbrt.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (sqrt.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
(log.f32 (exp.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
(log.f32 (+.f32 1 (expm1.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
(expm1.f32 (log1p.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/3))
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1) 1/3))
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/3) 1))
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (*.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 1))
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3))
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6)) 2))
(pow.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/6) 2)
(exp.f32 (*.f32 (*.f32 2 (log.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 3/2))
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
(log1p.f32 (expm1.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))

localize45.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.5%
(cos.f32 (*.f32 314159265359/50000000000 u2))
99.4%
(sqrt.f32 (-.f32 1 u1))
99.1%
(*.f32 314159265359/50000000000 u2)
99.0%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
Compiler

Compiled 42 to 28 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 20
Calls

6 calls:

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

rewrite93.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1378×log-prod
834×pow-prod-down
670×pow-prod-up
628×pow-exp
606×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01437
128737
2359637
Stop Event
node limit
Counts
1 → 53
Calls
Call 1
Inputs
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
Outputs
(+.f32 0 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) (cbrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (log.f32 (cbrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (log.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)
(*.f32 (sqrt.f32 u1) (/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) -1/2)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2)))
(*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (-.f32 1 u1) -1/2))
(*.f32 1 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(*.f32 (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (/.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 1 u1))))
(*.f32 (cbrt.f32 (/.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 1 u1))) (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (*.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (pow.f32 (-.f32 1 u1) -1/2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (pow.f32 (-.f32 1 u1) -1/2)))
(*.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 1 (neg.f32 (sqrt.f32 (-.f32 1 u1)))))
(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) 1/4)))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) 1/4)))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 u1) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(*.f32 (/.f32 1 (cbrt.f32 (-.f32 1 u1))) (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(*.f32 (/.f32 1 (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (-.f32 1 u1) 1/4)))
(*.f32 (/.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1) (/.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (/.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (pow.f32 (-.f32 1 u1) 1/4)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(pow.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (/.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 1 u1)) 1/2)
(pow.f32 (pow.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)
(pow.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 u1)) -1)
(pow.f32 (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 u1)) 1) -1)
(neg.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (sqrt.f32 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 1 u1)))
(log.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) (pow.f32 (-.f32 1 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 2))
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 u1))) -1))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))

simplify74.0ms (0.7%)

Algorithm
egg-herbie
Rules
1198×associate-/l*
1062×times-frac
1054×associate-*r/
1006×fma-def
768×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02143811
15463701
217703529
Stop Event
node limit
Counts
73 → 108
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 0 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) (cbrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (log.f32 (cbrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (log.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)
(*.f32 (sqrt.f32 u1) (/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) -1/2)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2)))
(*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (-.f32 1 u1) -1/2))
(*.f32 1 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(*.f32 (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (/.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 1 u1))))
(*.f32 (cbrt.f32 (/.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 1 u1))) (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (*.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (pow.f32 (-.f32 1 u1) -1/2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (pow.f32 (-.f32 1 u1) -1/2)))
(*.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 1 (neg.f32 (sqrt.f32 (-.f32 1 u1)))))
(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) 1/4)))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) 1/4)))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 u1) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(*.f32 (/.f32 1 (cbrt.f32 (-.f32 1 u1))) (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(*.f32 (/.f32 1 (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (-.f32 1 u1) 1/4)))
(*.f32 (/.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1) (/.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (/.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (pow.f32 (-.f32 1 u1) 1/4)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(pow.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (/.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 1 u1)) 1/2)
(pow.f32 (pow.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)
(pow.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 u1)) -1)
(pow.f32 (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 u1)) 1) -1)
(neg.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (sqrt.f32 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 1 u1)))
(log.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) (pow.f32 (-.f32 1 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 2))
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 u1))) -1))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
Outputs
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (fma.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) u1) (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1))))))
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(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2)))
(*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) -1/2)))
(*.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 1 (neg.f32 (sqrt.f32 (-.f32 1 u1)))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2)))
(*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) -1/2)))
(*.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) 1/4)))
(/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (*.f32 (pow.f32 (-.f32 1 u1) 1/4) (pow.f32 (-.f32 1 u1) 1/4)))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) 1/4)))
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) 1/4)))
(/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (*.f32 (pow.f32 (-.f32 1 u1) 1/4) (pow.f32 (-.f32 1 u1) 1/4)))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 u1) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(*.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 1 (cbrt.f32 (-.f32 1 u1))) (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(*.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 1 (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (-.f32 1 u1) 1/4)))
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) 1/4)))
(/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (*.f32 (pow.f32 (-.f32 1 u1) 1/4) (pow.f32 (-.f32 1 u1) 1/4)))
(*.f32 (/.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1) (/.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (/.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))) (/.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (cbrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))) (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))) (cbrt.f32 (-.f32 1 u1)))
(*.f32 (/.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (pow.f32 (-.f32 1 u1) 1/4)))
(*.f32 (/.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (pow.f32 (-.f32 1 u1) 1/4)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(*.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(pow.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(pow.f32 (/.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 1 u1)) 1/2)
(sqrt.f32 (/.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 1 u1)))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(pow.f32 (pow.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(pow.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 u1)) -1)
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(pow.f32 (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 u1)) 1) -1)
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(neg.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (sqrt.f32 (-.f32 1 u1)))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(sqrt.f32 (/.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 1 u1)))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) (pow.f32 (-.f32 1 u1) 3/2)))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 3) (pow.f32 (-.f32 1 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(exp.f32 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) 1))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 3))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1/3))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 2))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 u1))) -1))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))

localize68.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.5%
(cos.f32 (*.f32 314159265359/50000000000 u2))
99.1%
(*.f32 314159265359/50000000000 u2)
99.0%
(log1p.f32 (/.f32 u1 (-.f32 1 u1)))
55.1%
(-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
Compiler

Compiled 69 to 51 computations (26.1% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
u1
@inf
(-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
0.0ms
u1
@-inf
(-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
0.0ms
u1
@0
(-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
0.0ms
u1
@inf
(log1p.f32 (/.f32 u1 (-.f32 1 u1)))
0.0ms
u1
@-inf
(log1p.f32 (/.f32 u1 (-.f32 1 u1)))

rewrite75.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
898×prod-diff
888×log-prod
604×prod-exp
570×pow-prod-down
434×pow-prod-up
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01030
121530
2264930
Stop Event
node limit
Counts
2 → 112
Calls
Call 1
Inputs
(-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(log1p.f32 (/.f32 u1 (-.f32 1 u1)))
Outputs
(+.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) -1)
(+.f32 0 (/.f32 u1 (-.f32 1 u1)))
(+.f32 -1 (+.f32 1 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 u1 (/.f32 1 (-.f32 1 u1)))
(*.f32 1 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (pow.f32 (cbrt.f32 u1) 2) (*.f32 (cbrt.f32 u1) (/.f32 1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) (/.f32 1 (-.f32 1 u1))))
(*.f32 (neg.f32 u1) (/.f32 1 (neg.f32 (-.f32 1 u1))))
(*.f32 (expm1.f32 (*.f32 3 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 2) (+.f32 1 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (/.f32 1 (-.f32 1 u1)) u1)
(*.f32 (expm1.f32 (*.f32 2 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 1 (+.f32 1 (+.f32 1 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) -2) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))
(*.f32 (+.f32 (sqrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) 1) (expm1.f32 (*.f32 1/2 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))
(*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))
(/.f32 u1 (-.f32 1 u1))
(/.f32 1 (-.f32 (/.f32 1 u1) 1))
(/.f32 1 (/.f32 (-.f32 (/.f32 1 u1) 1) 1))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 2) (+.f32 1 (+.f32 1 (/.f32 u1 (-.f32 1 u1))))) (expm1.f32 (*.f32 3 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))))
(/.f32 1 (/.f32 (+.f32 1 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) (expm1.f32 (*.f32 2 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))))
(/.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (-.f32 1 u1) (cbrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 1 u1)))
(/.f32 (expm1.f32 (*.f32 3 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (pow.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 2) (+.f32 1 (+.f32 1 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 (expm1.f32 (*.f32 3 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (pow.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 2) (-.f32 1 (*.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) -1))))
(/.f32 -1 (neg.f32 (-.f32 (/.f32 1 u1) 1)))
(/.f32 (expm1.f32 (*.f32 2 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 1 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (neg.f32 (-.f32 1 u1))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 3 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))) (neg.f32 (+.f32 (pow.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 2) (+.f32 1 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 2 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))) (neg.f32 (+.f32 1 (+.f32 1 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 u1 1) (-.f32 1 u1))
(/.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (-.f32 1 u1)))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2) 1/2)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1)
(pow.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)) 1/3)
(pow.f32 (/.f32 (-.f32 (/.f32 1 u1) 1) 1) -1)
(pow.f32 (/.f32 (+.f32 (pow.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 2) (+.f32 1 (+.f32 1 (/.f32 u1 (-.f32 1 u1))))) (expm1.f32 (*.f32 3 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))) -1)
(pow.f32 (/.f32 (+.f32 1 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) (expm1.f32 (*.f32 2 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))) -1)
(neg.f32 (/.f32 u1 (neg.f32 (-.f32 1 u1))))
(sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2))
(log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 u1)))))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))
(cbrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))
(expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2))
(exp.f32 (*.f32 (log.f32 (-.f32 (/.f32 1 u1) 1)) -1))
(exp.f32 (+.f32 (*.f32 (log.f32 u1) 1) (neg.f32 (log1p.f32 (neg.f32 u1)))))
(exp.f32 (+.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (log.f32 u1) 1)))
(log1p.f32 (expm1.f32 (/.f32 u1 (-.f32 1 u1))))
(fma.f32 1 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) -1)
(fma.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 1 -1)
(fma.f32 (cbrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) 2) -1)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) 2) (cbrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) -1)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) 2) (*.f32 (cbrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) 1) -1)
(fma.f32 (sqrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) -1)
(fma.f32 (sqrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) 1) -1)
(+.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) 0)
(+.f32 0 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 1/3 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 2 (*.f32 1/3 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 1/2 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 1/2 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 1/2 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) (log.f32 (*.f32 (sqrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) 1)))
(+.f32 (*.f32 2 (*.f32 1/3 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 1/3 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 2 (*.f32 1/3 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (*.f32 (cbrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) 1)))
(-.f32 (log1p.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2) (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) 1)
(-.f32 (log.f32 (-.f32 1 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2))) (log.f32 (-.f32 1 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 1 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(*.f32 (cbrt.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (cbrt.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (*.f32 1/3 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 2 (*.f32 1/2 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 1/3 (*.f32 3 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))
(pow.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 3)
(pow.f32 (pow.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2)
(pow.f32 (pow.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) 3) 1/3)
(pow.f32 (sqrt.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(log.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (pow.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (log.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) 2))

simplify73.0ms (0.7%)

Algorithm
egg-herbie
Rules
932×fma-neg
702×cancel-sign-sub-inv
656×log-prod
654×unswap-sqr
468×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03153826
17773424
230223394
Stop Event
node limit
Counts
136 → 193
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)))
(-.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) 1)
(-.f32 (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) u1) (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1))))) 1)
(-.f32 (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) (pow.f32 u1 2)) (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) u1) (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))))) 1)
(-.f32 (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) (pow.f32 u1 3)) (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) (pow.f32 u1 2)) (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) u1) (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1))))))) 1)
(*.f32 -1 (+.f32 1 (/.f32 1 u1)))
(-.f32 (*.f32 -1 (+.f32 1 (/.f32 1 u1))) (/.f32 1 (pow.f32 u1 2)))
(-.f32 (*.f32 -1 (+.f32 1 (/.f32 1 u1))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 (pow.f32 u1 3))))
(-.f32 (*.f32 -1 (+.f32 1 (/.f32 1 u1))) (+.f32 (/.f32 1 (pow.f32 u1 4)) (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 (pow.f32 u1 3)))))
u1
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) u1)
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1))
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/4 (pow.f32 u1 4)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1)))
(+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))
(+.f32 (log.f32 -1) (+.f32 (log.f32 (/.f32 1 u1)) (/.f32 1 u1)))
(+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (log.f32 -1) (+.f32 (log.f32 (/.f32 1 u1)) (/.f32 1 u1))))
(+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (log.f32 -1) (+.f32 (log.f32 (/.f32 1 u1)) (/.f32 1 u1)))))
(log.f32 (/.f32 -1 u1))
(+.f32 (log.f32 (/.f32 -1 u1)) (/.f32 1 u1))
(+.f32 (log.f32 (/.f32 -1 u1)) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(+.f32 (log.f32 (/.f32 -1 u1)) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(+.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) -1)
(+.f32 0 (/.f32 u1 (-.f32 1 u1)))
(+.f32 -1 (+.f32 1 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 u1 (/.f32 1 (-.f32 1 u1)))
(*.f32 1 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (pow.f32 (cbrt.f32 u1) 2) (*.f32 (cbrt.f32 u1) (/.f32 1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) (/.f32 1 (-.f32 1 u1))))
(*.f32 (neg.f32 u1) (/.f32 1 (neg.f32 (-.f32 1 u1))))
(*.f32 (expm1.f32 (*.f32 3 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 2) (+.f32 1 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (/.f32 1 (-.f32 1 u1)) u1)
(*.f32 (expm1.f32 (*.f32 2 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 1 (+.f32 1 (+.f32 1 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) -2) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))
(*.f32 (+.f32 (sqrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) 1) (expm1.f32 (*.f32 1/2 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))
(*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))
(/.f32 u1 (-.f32 1 u1))
(/.f32 1 (-.f32 (/.f32 1 u1) 1))
(/.f32 1 (/.f32 (-.f32 (/.f32 1 u1) 1) 1))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 2) (+.f32 1 (+.f32 1 (/.f32 u1 (-.f32 1 u1))))) (expm1.f32 (*.f32 3 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))))
(/.f32 1 (/.f32 (+.f32 1 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) (expm1.f32 (*.f32 2 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))))
(/.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (-.f32 1 u1) (cbrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 1 u1)))
(/.f32 (expm1.f32 (*.f32 3 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (pow.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 2) (+.f32 1 (+.f32 1 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 (expm1.f32 (*.f32 3 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (pow.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 2) (-.f32 1 (*.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) -1))))
(/.f32 -1 (neg.f32 (-.f32 (/.f32 1 u1) 1)))
(/.f32 (expm1.f32 (*.f32 2 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 1 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (neg.f32 (-.f32 1 u1))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 3 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))) (neg.f32 (+.f32 (pow.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 2) (+.f32 1 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 2 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))) (neg.f32 (+.f32 1 (+.f32 1 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 u1 1) (-.f32 1 u1))
(/.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (-.f32 1 u1)))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2) 1/2)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1)
(pow.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)) 1/3)
(pow.f32 (/.f32 (-.f32 (/.f32 1 u1) 1) 1) -1)
(pow.f32 (/.f32 (+.f32 (pow.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 2) (+.f32 1 (+.f32 1 (/.f32 u1 (-.f32 1 u1))))) (expm1.f32 (*.f32 3 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))) -1)
(pow.f32 (/.f32 (+.f32 1 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) (expm1.f32 (*.f32 2 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))) -1)
(neg.f32 (/.f32 u1 (neg.f32 (-.f32 1 u1))))
(sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2))
(log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 u1)))))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))
(cbrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))
(expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2))
(exp.f32 (*.f32 (log.f32 (-.f32 (/.f32 1 u1) 1)) -1))
(exp.f32 (+.f32 (*.f32 (log.f32 u1) 1) (neg.f32 (log1p.f32 (neg.f32 u1)))))
(exp.f32 (+.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (log.f32 u1) 1)))
(log1p.f32 (expm1.f32 (/.f32 u1 (-.f32 1 u1))))
(fma.f32 1 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) -1)
(fma.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 1 -1)
(fma.f32 (cbrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) 2) -1)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) 2) (cbrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) -1)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) 2) (*.f32 (cbrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) 1) -1)
(fma.f32 (sqrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) -1)
(fma.f32 (sqrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) 1) -1)
(+.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) 0)
(+.f32 0 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 1/3 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 2 (*.f32 1/3 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 1/2 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 1/2 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 1/2 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) (log.f32 (*.f32 (sqrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) 1)))
(+.f32 (*.f32 2 (*.f32 1/3 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 1/3 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 2 (*.f32 1/3 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (*.f32 (cbrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) 1)))
(-.f32 (log1p.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2) (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) 1)
(-.f32 (log.f32 (-.f32 1 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2))) (log.f32 (-.f32 1 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 1 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(*.f32 (cbrt.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (cbrt.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 3 (*.f32 1/3 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 2 (*.f32 1/2 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 1/3 (*.f32 3 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))
(pow.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 3)
(pow.f32 (pow.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2)
(pow.f32 (pow.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) 3) 1/3)
(pow.f32 (sqrt.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(log.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (pow.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (log.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) 2))
Outputs
u1
(+.f32 (pow.f32 u1 2) u1)
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 3)))
(+.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1)))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (*.f32 u1 u1) (+.f32 (+.f32 u1 (pow.f32 u1 3)) (pow.f32 u1 4)))
(+.f32 (pow.f32 u1 4) (+.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1))))
(+.f32 (pow.f32 u1 4) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(-.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) 1)
(expm1.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 u1))))
(+.f32 -1 (/.f32 -1 u1))
(-.f32 (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) u1) (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1))))) 1)
(+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 u1)))) u1) (expm1.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 u1)))))
(+.f32 -1 (+.f32 (/.f32 (/.f32 -1 u1) u1) (/.f32 -1 u1)))
(+.f32 (/.f32 -1 u1) (+.f32 (/.f32 -1 (*.f32 u1 u1)) -1))
(-.f32 (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) (pow.f32 u1 2)) (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) u1) (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))))) 1)
(+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 u1)))) (*.f32 u1 u1)) (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 u1)))) u1) (expm1.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 u1))))))
(+.f32 (+.f32 (/.f32 (/.f32 -1 u1) u1) (/.f32 -1 u1)) (+.f32 (/.f32 (/.f32 -1 u1) (*.f32 u1 u1)) -1))
(+.f32 (+.f32 -1 (/.f32 -1 u1)) (-.f32 (/.f32 -1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))))
(-.f32 (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) (pow.f32 u1 3)) (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) (pow.f32 u1 2)) (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) u1) (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1))))))) 1)
(+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 u1)))) (pow.f32 u1 3)) (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 u1)))) (*.f32 u1 u1)) (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 u1)))) u1) (expm1.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 u1)))))))
(+.f32 -1 (+.f32 (+.f32 (/.f32 (/.f32 -1 u1) u1) (/.f32 -1 u1)) (+.f32 (/.f32 (/.f32 -1 u1) (*.f32 u1 u1)) (/.f32 (/.f32 -1 u1) (pow.f32 u1 3)))))
(+.f32 -1 (+.f32 (-.f32 (/.f32 -1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))) (+.f32 (/.f32 -1 u1) (/.f32 (/.f32 -1 u1) (pow.f32 u1 3)))))
(*.f32 -1 (+.f32 1 (/.f32 1 u1)))
(expm1.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 u1))))
(+.f32 -1 (/.f32 -1 u1))
(-.f32 (*.f32 -1 (+.f32 1 (/.f32 1 u1))) (/.f32 1 (pow.f32 u1 2)))
(+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 u1)))) u1) (expm1.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 u1)))))
(+.f32 -1 (+.f32 (/.f32 (/.f32 -1 u1) u1) (/.f32 -1 u1)))
(+.f32 (/.f32 -1 u1) (+.f32 (/.f32 -1 (*.f32 u1 u1)) -1))
(-.f32 (*.f32 -1 (+.f32 1 (/.f32 1 u1))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 (pow.f32 u1 3))))
(+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 u1)))) (*.f32 u1 u1)) (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 u1)))) u1) (expm1.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 u1))))))
(+.f32 (+.f32 (/.f32 (/.f32 -1 u1) u1) (/.f32 -1 u1)) (+.f32 (/.f32 (/.f32 -1 u1) (*.f32 u1 u1)) -1))
(+.f32 (+.f32 -1 (/.f32 -1 u1)) (-.f32 (/.f32 -1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))))
(-.f32 (*.f32 -1 (+.f32 1 (/.f32 1 u1))) (+.f32 (/.f32 1 (pow.f32 u1 4)) (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (-.f32 (neg.f32 (+.f32 1 (/.f32 1 u1))) (/.f32 1 (pow.f32 u1 4))) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))))
(-.f32 (+.f32 -1 (/.f32 -1 u1)) (+.f32 (/.f32 (/.f32 1 u1) u1) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 (pow.f32 u1 4)))))
(+.f32 (-.f32 (+.f32 -1 (/.f32 -1 u1)) (/.f32 1 (pow.f32 u1 4))) (-.f32 (/.f32 -1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))))
u1
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) u1)
(fma.f32 1/2 (*.f32 u1 u1) u1)
(fma.f32 (*.f32 u1 u1) 1/2 u1)
(fma.f32 u1 (*.f32 u1 1/2) u1)
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1))
(fma.f32 1/2 (*.f32 u1 u1) (fma.f32 1/3 (pow.f32 u1 3) u1))
(fma.f32 (*.f32 u1 u1) 1/2 (fma.f32 (pow.f32 u1 3) 1/3 u1))
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/4 (pow.f32 u1 4)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1)))
(fma.f32 1/2 (*.f32 u1 u1) (fma.f32 1/4 (pow.f32 u1 4) (fma.f32 1/3 (pow.f32 u1 3) u1)))
(fma.f32 (*.f32 u1 u1) 1/2 (fma.f32 (pow.f32 u1 4) 1/4 (fma.f32 (pow.f32 u1 3) 1/3 u1)))
(+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))
(+.f32 (log.f32 -1) (neg.f32 (log.f32 u1)))
(log.f32 (/.f32 -1 u1))
(+.f32 (log.f32 -1) (+.f32 (log.f32 (/.f32 1 u1)) (/.f32 1 u1)))
(+.f32 (log.f32 -1) (+.f32 (/.f32 1 u1) (neg.f32 (log.f32 u1))))
(+.f32 (/.f32 1 u1) (log.f32 (/.f32 -1 u1)))
(+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (log.f32 -1) (+.f32 (log.f32 (/.f32 1 u1)) (/.f32 1 u1))))
(+.f32 (+.f32 (log.f32 -1) (+.f32 (/.f32 1 u1) (neg.f32 (log.f32 u1)))) (/.f32 1/2 (*.f32 u1 u1)))
(+.f32 (+.f32 (/.f32 1 u1) (log.f32 (/.f32 -1 u1))) (/.f32 (/.f32 1/2 u1) u1))
(+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (log.f32 -1) (+.f32 (log.f32 (/.f32 1 u1)) (/.f32 1 u1)))))
(+.f32 (+.f32 (/.f32 1/3 (pow.f32 u1 3)) (/.f32 1/2 (*.f32 u1 u1))) (+.f32 (log.f32 -1) (+.f32 (/.f32 1 u1) (neg.f32 (log.f32 u1)))))
(+.f32 (+.f32 (/.f32 1 u1) (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 (/.f32 1/2 u1) u1) (/.f32 1/3 (pow.f32 u1 3))))
(log.f32 (/.f32 -1 u1))
(+.f32 (log.f32 -1) (neg.f32 (log.f32 u1)))
(+.f32 (log.f32 (/.f32 -1 u1)) (/.f32 1 u1))
(+.f32 (log.f32 -1) (+.f32 (/.f32 1 u1) (neg.f32 (log.f32 u1))))
(+.f32 (/.f32 1 u1) (log.f32 (/.f32 -1 u1)))
(+.f32 (log.f32 (/.f32 -1 u1)) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(+.f32 (+.f32 (log.f32 -1) (+.f32 (/.f32 1 u1) (neg.f32 (log.f32 u1)))) (/.f32 1/2 (*.f32 u1 u1)))
(+.f32 (+.f32 (/.f32 1 u1) (log.f32 (/.f32 -1 u1))) (/.f32 (/.f32 1/2 u1) u1))
(+.f32 (log.f32 (/.f32 -1 u1)) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(+.f32 (+.f32 (/.f32 1/3 (pow.f32 u1 3)) (/.f32 1/2 (*.f32 u1 u1))) (+.f32 (log.f32 -1) (+.f32 (/.f32 1 u1) (neg.f32 (log.f32 u1)))))
(+.f32 (+.f32 (/.f32 1 u1) (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 (/.f32 1/2 u1) u1) (/.f32 1/3 (pow.f32 u1 3))))
(+.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) -1)
(/.f32 u1 (-.f32 1 u1))
(+.f32 0 (/.f32 u1 (-.f32 1 u1)))
(/.f32 u1 (-.f32 1 u1))
(+.f32 -1 (+.f32 1 (/.f32 u1 (-.f32 1 u1))))
(/.f32 u1 (-.f32 1 u1))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 3 (log.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 2 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 u1 (/.f32 1 (-.f32 1 u1)))
(/.f32 u1 (-.f32 1 u1))
(*.f32 1 (/.f32 u1 (-.f32 1 u1)))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(/.f32 u1 (-.f32 1 u1))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (pow.f32 (cbrt.f32 u1) 2) (*.f32 (cbrt.f32 u1) (/.f32 1 (-.f32 1 u1))))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) (/.f32 1 (-.f32 1 u1))))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (neg.f32 u1) (/.f32 1 (neg.f32 (-.f32 1 u1))))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (expm1.f32 (*.f32 3 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 2) (+.f32 1 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (expm1.f32 (*.f32 3 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 2) (+.f32 2 (/.f32 u1 (-.f32 1 u1))))))
(/.f32 (expm1.f32 (*.f32 3 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (pow.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 2) (+.f32 2 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (/.f32 1 (-.f32 1 u1)) u1)
(/.f32 u1 (-.f32 1 u1))
(*.f32 (expm1.f32 (*.f32 2 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 1 (+.f32 1 (+.f32 1 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (expm1.f32 (*.f32 2 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (/.f32 1 (+.f32 2 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (expm1.f32 (*.f32 2 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 2 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) -2) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (pow.f32 (-.f32 1 u1) -1/2) (/.f32 (sqrt.f32 (-.f32 1 u1)) u1))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (pow.f32 (cbrt.f32 u1) 2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))
(/.f32 u1 (-.f32 1 u1))
(*.f32 (+.f32 (sqrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) 1) (expm1.f32 (*.f32 1/2 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))))) (expm1.f32 (*.f32 1/2 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))
(/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (-.f32 1 (pow.f32 u1 3)))
(*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))
(/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))
(/.f32 u1 (-.f32 1 u1))
(/.f32 1 (-.f32 (/.f32 1 u1) 1))
(/.f32 1 (+.f32 (/.f32 1 u1) -1))
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(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1))
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(exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
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(fma.f32 1 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) -1)
(/.f32 u1 (-.f32 1 u1))
(fma.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 1 -1)
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(/.f32 u1 (-.f32 1 u1))
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(/.f32 u1 (-.f32 1 u1))
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(/.f32 u1 (-.f32 1 u1))
(fma.f32 (sqrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) -1)
(/.f32 u1 (-.f32 1 u1))
(fma.f32 (sqrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) 1) -1)
(/.f32 u1 (-.f32 1 u1))
(+.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) 0)
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(log1p.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 1/2 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 1/2 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))
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(+.f32 (*.f32 1/2 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) (log.f32 (*.f32 (sqrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) 1)))
(fma.f32 1/2 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (sqrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 2 (*.f32 1/3 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 1/3 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))
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(fma.f32 2/3 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (cbrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (log1p.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2) (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (log1p.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)) (log1p.f32 (-.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2) (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (log1p.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)) (log1p.f32 (+.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2) (/.f32 u1 (+.f32 -1 u1)))))
(-.f32 (log1p.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)) (log1p.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 -1 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) 1)
(log1p.f32 (/.f32 u1 (-.f32 1 u1)))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2))) (log.f32 (-.f32 1 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2))) (log1p.f32 (/.f32 u1 (+.f32 -1 u1))))
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(*.f32 (cbrt.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) 2)))
(*.f32 (sqrt.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))
(log1p.f32 (/.f32 u1 (-.f32 1 u1)))
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(log1p.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 1/3 (*.f32 3 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))
(log1p.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(log1p.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 3)
(log1p.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (pow.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2)
(log1p.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (pow.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) 3) 1/3)
(log1p.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (sqrt.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 2)
(log1p.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (pow.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(log1p.f32 (/.f32 u1 (-.f32 1 u1)))
(log.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))))
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(cbrt.f32 (pow.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))) 3))
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(expm1.f32 (log1p.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))
(log1p.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (log.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))
(log1p.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1))
(log1p.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 1))
(log1p.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) 3))
(log1p.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) 1/3))
(log1p.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) 2))
(log1p.f32 (/.f32 u1 (-.f32 1 u1)))

eval420.0ms (3.9%)

Compiler

Compiled 16594 to 13128 computations (20.9% saved)

prune271.0ms (2.5%)

Pruning

44 alts after pruning (36 fresh and 8 done)

PrunedKeptTotal
New83014844
Fresh102232
Picked101
Done189
Total84244886
Accurracy
99.8%
Counts
886 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.4%
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3)
77.8%
(pow.f32 (/.f32 (-.f32 1 u1) u1) -1/2)
98.4%
(pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))) -1)
85.5%
(pow.f32 (exp.f32 1/3) (*.f32 3 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000))))))
60.4%
(pow.f32 (cbrt.f32 u1) 3/2)
98.1%
(/.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 u1 -1/2)) (sqrt.f32 (-.f32 1 u1)))
85.9%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 u1 -1/2)))
98.4%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
98.5%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2)))) (sqrt.f32 (-.f32 1 u1)))
98.5%
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
72.9%
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 1 (sqrt.f32 u1)))
98.3%
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
98.3%
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
95.0%
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (exp.f32 (*.f32 (*.f32 3 (log.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 1/3)))
96.2%
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 1 u1) u1)) 1/2)))
98.4%
(/.f32 (cos.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
77.4%
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
66.1%
(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
67.7%
(+.f32 1 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1))
98.3%
(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
86.6%
(*.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
51.8%
(*.f32 (sqrt.f32 (fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) 2) (cbrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
98.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1))
96.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) (cbrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
95.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (-.f32 (+.f32 1 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)))
86.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (+.f32 1/3 (*.f32 (*.f32 u2 u2) -98696044010906577398881/15000000000000000000000))))
98.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
98.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (*.f32 1/3 (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2))))))
95.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (log.f32 (pow.f32 (exp.f32 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
97.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
97.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2))))))
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2))))
98.7%
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
56.9%
(*.f32 (sqrt.f32 (+.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
98.6%
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
98.3%
(*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) -1/2)))
73.0%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
77.7%
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
77.6%
(sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))
77.6%
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
60.5%
(sqrt.f32 u1)
80.5%
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
89.0%
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1/3))
Compiler

Compiled 1310 to 1080 computations (17.6% saved)

localize92.0ms (0.9%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.5%
(*.f32 1/3 (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2))))
99.5%
(*.f32 3 (*.f32 1/3 (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2)))))
99.1%
(*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2)
98.9%
(*.f32 98696044010906577398881/2500000000000000000000 u2)
Compiler

Compiled 82 to 60 computations (26.8% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
u2
@0
(*.f32 3 (*.f32 1/3 (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2)))))
0.0ms
u2
@-inf
(*.f32 1/3 (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2))))
0.0ms
u2
@0
(*.f32 1/3 (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2))))
0.0ms
u2
@inf
(*.f32 3 (*.f32 1/3 (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2)))))
0.0ms
u2
@-inf
(*.f32 3 (*.f32 1/3 (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2)))))

rewrite73.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1078×log-prod
814×exp-prod
654×prod-exp
612×pow-prod-down
518×pow-prod-up
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01348
126528
2270328
Stop Event
node limit
Counts
2 → 50
Calls
Call 1
Inputs
(*.f32 3 (*.f32 1/3 (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2)))))
(*.f32 1/3 (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2))))
Outputs
(+.f32 0 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (cos.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (cos.f32 1)) (*.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (sin.f32 1)))
(+.f32 (log.f32 (pow.f32 (exp.f32 2/3) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)
(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)
(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 1/2)
(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) 1/3)
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)
(pow.f32 (exp.f32 1) (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)) (cbrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) (sqrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 0 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) 2)) (log.f32 (cbrt.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
(+.f32 (log.f32 (sqrt.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (log.f32 (sqrt.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)
(pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (cbrt.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) 1/2)
(pow.f32 (pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)
(pow.f32 (exp.f32 1) (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))) 2)) (cbrt.f32 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (sqrt.f32 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))
(log.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(cbrt.f32 (pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))
(expm1.f32 (log1p.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(exp.f32 (*.f32 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))) 2))
(log1p.f32 (expm1.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))

simplify80.0ms (0.7%)

Algorithm
egg-herbie
Rules
1056×log-prod
908×fma-def
648×unswap-sqr
510×*-commutative
470×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01601418
13361374
29691366
342681366
475211366
Stop Event
node limit
Counts
74 → 90
Calls
Call 1
Inputs
1
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 -314159265359/50000000000 u2))
(cos.f32 (*.f32 -314159265359/50000000000 u2))
(cos.f32 (*.f32 -314159265359/50000000000 u2))
(cos.f32 (*.f32 -314159265359/50000000000 u2))
1/3
(+.f32 1/3 (*.f32 -98696044010906577398881/15000000000000000000000 (pow.f32 u2 2)))
(+.f32 1/3 (+.f32 (*.f32 -98696044010906577398881/15000000000000000000000 (pow.f32 u2 2)) (*.f32 9740909103402808085817682884085781839780052161/450000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/33750000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 1/3 (+.f32 (*.f32 -98696044010906577398881/15000000000000000000000 (pow.f32 u2 2)) (*.f32 9740909103402808085817682884085781839780052161/450000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 1/3 (cos.f32 (*.f32 -314159265359/50000000000 u2)))
(*.f32 1/3 (cos.f32 (*.f32 -314159265359/50000000000 u2)))
(*.f32 1/3 (cos.f32 (*.f32 -314159265359/50000000000 u2)))
(*.f32 1/3 (cos.f32 (*.f32 -314159265359/50000000000 u2)))
(+.f32 0 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (cos.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (cos.f32 1)) (*.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (sin.f32 1)))
(+.f32 (log.f32 (pow.f32 (exp.f32 2/3) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)
(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)
(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 1/2)
(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) 1/3)
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)
(pow.f32 (exp.f32 1) (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)) (cbrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) (sqrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 0 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) 2)) (log.f32 (cbrt.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
(+.f32 (log.f32 (sqrt.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (log.f32 (sqrt.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)
(pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (cbrt.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) 1/2)
(pow.f32 (pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)
(pow.f32 (exp.f32 1) (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))) 2)) (cbrt.f32 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (sqrt.f32 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))
(log.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(cbrt.f32 (pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))
(expm1.f32 (log1p.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(exp.f32 (*.f32 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))) 2))
(log1p.f32 (expm1.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
Outputs
1
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) 1)))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 -314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 -314159265359/50000000000))
(cos.f32 (*.f32 -314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 -314159265359/50000000000))
(cos.f32 (*.f32 -314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 -314159265359/50000000000))
(cos.f32 (*.f32 -314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 -314159265359/50000000000))
1/3
(+.f32 1/3 (*.f32 -98696044010906577398881/15000000000000000000000 (pow.f32 u2 2)))
(+.f32 1/3 (*.f32 (*.f32 u2 u2) -98696044010906577398881/15000000000000000000000))
(fma.f32 (*.f32 u2 u2) -98696044010906577398881/15000000000000000000000 1/3)
(fma.f32 u2 (*.f32 u2 -98696044010906577398881/15000000000000000000000) 1/3)
(+.f32 1/3 (+.f32 (*.f32 -98696044010906577398881/15000000000000000000000 (pow.f32 u2 2)) (*.f32 9740909103402808085817682884085781839780052161/450000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 1/3 (fma.f32 -98696044010906577398881/15000000000000000000000 (*.f32 u2 u2) (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/450000000000000000000000000000000000000000000)))
(+.f32 1/3 (fma.f32 (*.f32 u2 u2) -98696044010906577398881/15000000000000000000000 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/450000000000000000000000000000000000000000000)))
(fma.f32 u2 (*.f32 u2 -98696044010906577398881/15000000000000000000000) (fma.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/450000000000000000000000000000000000000000000 1/3))
(+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/33750000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 1/3 (+.f32 (*.f32 -98696044010906577398881/15000000000000000000000 (pow.f32 u2 2)) (*.f32 9740909103402808085817682884085781839780052161/450000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/33750000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (+.f32 1/3 (fma.f32 -98696044010906577398881/15000000000000000000000 (*.f32 u2 u2) (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/450000000000000000000000000000000000000000000))))
(+.f32 (fma.f32 (*.f32 u2 u2) -98696044010906577398881/15000000000000000000000 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/450000000000000000000000000000000000000000000)) (fma.f32 (pow.f32 u2 6) -961389193575684075633145058384385882649239799132134631991269883031841/33750000000000000000000000000000000000000000000000000000000000000000 1/3))
(fma.f32 (pow.f32 u2 6) -961389193575684075633145058384385882649239799132134631991269883031841/33750000000000000000000000000000000000000000000000000000000000000000 (fma.f32 u2 (*.f32 u2 -98696044010906577398881/15000000000000000000000) (fma.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/450000000000000000000000000000000000000000000 1/3)))
(*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(*.f32 1/3 (cos.f32 (*.f32 -314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 u2 -314159265359/50000000000)) 1/3)
(*.f32 1/3 (cos.f32 (*.f32 -314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 u2 -314159265359/50000000000)) 1/3)
(*.f32 1/3 (cos.f32 (*.f32 -314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 u2 -314159265359/50000000000)) 1/3)
(*.f32 1/3 (cos.f32 (*.f32 -314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 u2 -314159265359/50000000000)) 1/3)
(+.f32 0 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(+.f32 (*.f32 (cos.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (cos.f32 1)) (*.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (sin.f32 1)))
(fma.f32 (cos.f32 (exp.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000)))) (cos.f32 1) (*.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000)))) (sin.f32 1)))
(+.f32 (log.f32 (pow.f32 (exp.f32 2/3) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)
(cos.f32 (*.f32 u2 314159265359/50000000000))
(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(cos.f32 (*.f32 u2 314159265359/50000000000))
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)
(cos.f32 (*.f32 u2 314159265359/50000000000))
(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 1/2)
(cos.f32 (*.f32 u2 314159265359/50000000000))
(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) 1/3)
(cos.f32 (*.f32 u2 314159265359/50000000000))
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)
(cos.f32 (*.f32 u2 314159265359/50000000000))
(pow.f32 (exp.f32 1) (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)) (cbrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) 2)) (cbrt.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) (sqrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))) (sqrt.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(exp.f32 (*.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1) 1))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1/3))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(+.f32 0 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) 2)) (log.f32 (cbrt.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))))) (log.f32 (cbrt.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
(*.f32 3 (log.f32 (cbrt.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
(+.f32 (log.f32 (sqrt.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (log.f32 (sqrt.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
(*.f32 2 (log.f32 (sqrt.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(pow.f32 (cbrt.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(pow.f32 (pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) 1/2)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(pow.f32 (pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(pow.f32 (sqrt.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(pow.f32 (exp.f32 1) (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))) 2)) (cbrt.f32 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3))) 2)) (cbrt.f32 (log.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (sqrt.f32 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)))) (sqrt.f32 (log.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3))))
(sqrt.f32 (pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(log.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(log.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(cbrt.f32 (pow.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(expm1.f32 (log1p.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(exp.f32 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(exp.f32 (*.f32 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) 1))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))) 3))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1/3))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2))))) 2))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)
(log1p.f32 (expm1.f32 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1/3)

localize44.0ms (0.4%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.7%
(pow.f32 (/.f32 (-.f32 1 u1) u1) -1/2)
99.5%
(/.f32 (-.f32 1 u1) u1)
Compiler

Compiled 21 to 15 computations (28.6% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
u1
@0
(pow.f32 (/.f32 (-.f32 1 u1) u1) -1/2)
0.0ms
u1
@-inf
(/.f32 (-.f32 1 u1) u1)
0.0ms
u1
@inf
(/.f32 (-.f32 1 u1) u1)
0.0ms
u1
@inf
(pow.f32 (/.f32 (-.f32 1 u1) u1) -1/2)
0.0ms
u1
@0
(/.f32 (-.f32 1 u1) u1)

rewrite107.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1836×pow1
1720×add-exp-log
1718×log1p-expm1-u
1718×expm1-log1p-u
1692×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
117732
2229032
Stop Event
node limit
Counts
2 → 49
Calls
Call 1
Inputs
(/.f32 (-.f32 1 u1) u1)
(pow.f32 (/.f32 (-.f32 1 u1) u1) -1/2)
Outputs
(+.f32 (/.f32 1 u1) -1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (+.f32 1 (+.f32 (/.f32 1 u1) -1)) 1)
(*.f32 1 (+.f32 (/.f32 1 u1) -1))
(*.f32 (-.f32 1 u1) (/.f32 1 u1))
(*.f32 (+.f32 (/.f32 1 u1) -1) 1)
(*.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)) (*.f32 (cbrt.f32 (-.f32 1 u1)) (/.f32 1 u1)))
(*.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))
(*.f32 (sqrt.f32 (-.f32 1 u1)) (*.f32 (sqrt.f32 (-.f32 1 u1)) (/.f32 1 u1)))
(*.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(*.f32 (neg.f32 (-.f32 1 u1)) (/.f32 1 (neg.f32 u1)))
(*.f32 (/.f32 1 u1) (-.f32 1 u1))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 u1) 2)) (/.f32 (-.f32 1 u1) (cbrt.f32 u1)))
(*.f32 (/.f32 1 (sqrt.f32 u1)) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)) 1) (/.f32 (cbrt.f32 (-.f32 1 u1)) u1))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)) (pow.f32 (cbrt.f32 u1) 2)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)) (sqrt.f32 u1)) (/.f32 (cbrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) 1) (/.f32 (sqrt.f32 (-.f32 1 u1)) u1))
(*.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (pow.f32 (cbrt.f32 u1) 2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cbrt.f32 u1)))
(pow.f32 (+.f32 (/.f32 1 u1) -1) 1)
(pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 3)
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 2)
(pow.f32 (/.f32 u1 (-.f32 1 u1)) -1)
(neg.f32 (/.f32 (-.f32 1 u1) (neg.f32 u1)))
(sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2))
(log.f32 (exp.f32 (+.f32 (/.f32 1 u1) -1)))
(cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3))
(cbrt.f32 (/.f32 (pow.f32 (-.f32 1 u1) 3) (pow.f32 u1 3)))
(expm1.f32 (log1p.f32 (+.f32 (/.f32 1 u1) -1)))
(exp.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)))
(log1p.f32 (expm1.f32 (+.f32 (/.f32 1 u1) -1)))
(-.f32 (+.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) 1)
(*.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1)
(*.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1)))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1)) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4))
(*.f32 (pow.f32 1 -1/2) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))
(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (pow.f32 (/.f32 1 u1) -1/2))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) -1/2) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) -1/2))
(*.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) -1/2) (pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) -1/2))
(sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1))
(log.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(cbrt.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(exp.f32 (*.f32 -1/2 (log.f32 (+.f32 (/.f32 1 u1) -1))))
(log1p.f32 (expm1.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))

simplify63.0ms (0.6%)

Algorithm
egg-herbie
Rules
1940×fma-def
770×associate-*r*
712×associate-*l*
536×times-frac
488×log-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01491703
13591599
210501461
351431445
Stop Event
node limit
Counts
73 → 85
Calls
Call 1
Inputs
(/.f32 1 u1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
-1
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
-1
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))))
(+.f32 (sqrt.f32 u1) (+.f32 (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))))
(+.f32 (*.f32 5/16 (sqrt.f32 (pow.f32 u1 7))) (+.f32 (sqrt.f32 u1) (+.f32 (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (/.f32 1 u1) -1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (+.f32 1 (+.f32 (/.f32 1 u1) -1)) 1)
(*.f32 1 (+.f32 (/.f32 1 u1) -1))
(*.f32 (-.f32 1 u1) (/.f32 1 u1))
(*.f32 (+.f32 (/.f32 1 u1) -1) 1)
(*.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)) (*.f32 (cbrt.f32 (-.f32 1 u1)) (/.f32 1 u1)))
(*.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))
(*.f32 (sqrt.f32 (-.f32 1 u1)) (*.f32 (sqrt.f32 (-.f32 1 u1)) (/.f32 1 u1)))
(*.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(*.f32 (neg.f32 (-.f32 1 u1)) (/.f32 1 (neg.f32 u1)))
(*.f32 (/.f32 1 u1) (-.f32 1 u1))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 u1) 2)) (/.f32 (-.f32 1 u1) (cbrt.f32 u1)))
(*.f32 (/.f32 1 (sqrt.f32 u1)) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)) 1) (/.f32 (cbrt.f32 (-.f32 1 u1)) u1))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)) (pow.f32 (cbrt.f32 u1) 2)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)) (sqrt.f32 u1)) (/.f32 (cbrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) 1) (/.f32 (sqrt.f32 (-.f32 1 u1)) u1))
(*.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (pow.f32 (cbrt.f32 u1) 2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cbrt.f32 u1)))
(pow.f32 (+.f32 (/.f32 1 u1) -1) 1)
(pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 3)
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 2)
(pow.f32 (/.f32 u1 (-.f32 1 u1)) -1)
(neg.f32 (/.f32 (-.f32 1 u1) (neg.f32 u1)))
(sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2))
(log.f32 (exp.f32 (+.f32 (/.f32 1 u1) -1)))
(cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3))
(cbrt.f32 (/.f32 (pow.f32 (-.f32 1 u1) 3) (pow.f32 u1 3)))
(expm1.f32 (log1p.f32 (+.f32 (/.f32 1 u1) -1)))
(exp.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)))
(log1p.f32 (expm1.f32 (+.f32 (/.f32 1 u1) -1)))
(-.f32 (+.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) 1)
(*.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1)
(*.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1)))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1)) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4))
(*.f32 (pow.f32 1 -1/2) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))
(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (pow.f32 (/.f32 1 u1) -1/2))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) -1/2) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) -1/2))
(*.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) -1/2) (pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) -1/2))
(sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1))
(log.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(cbrt.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(exp.f32 (*.f32 -1/2 (log.f32 (+.f32 (/.f32 1 u1) -1))))
(log1p.f32 (expm1.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
Outputs
(/.f32 1 u1)
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
-1
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
-1
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))))
(fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))
(fma.f32 1/2 (pow.f32 u1 3/2) (sqrt.f32 u1))
(+.f32 (sqrt.f32 u1) (+.f32 (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))))
(+.f32 (sqrt.f32 u1) (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))))
(fma.f32 1/2 (pow.f32 u1 3/2) (fma.f32 3/8 (pow.f32 u1 5/2) (sqrt.f32 u1)))
(+.f32 (*.f32 5/16 (sqrt.f32 (pow.f32 u1 7))) (+.f32 (sqrt.f32 u1) (+.f32 (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5))))))
(fma.f32 5/16 (sqrt.f32 (pow.f32 u1 7)) (+.f32 (sqrt.f32 u1) (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5))))))
(+.f32 (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))) (fma.f32 5/16 (sqrt.f32 (pow.f32 u1 7)) (sqrt.f32 u1)))
(fma.f32 5/16 (pow.f32 u1 7/2) (fma.f32 1/2 (pow.f32 u1 3/2) (fma.f32 3/8 (pow.f32 u1 5/2) (sqrt.f32 u1))))
(fma.f32 1/2 (pow.f32 u1 3/2) (fma.f32 5/16 (pow.f32 u1 7/2) (fma.f32 3/8 (pow.f32 u1 5/2) (sqrt.f32 u1))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1))))
(fma.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1)) (sqrt.f32 -1))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))) (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))
(+.f32 (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1))))
(fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1)) (sqrt.f32 -1)))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1))))
(fma.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1)) (sqrt.f32 -1))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))) (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))
(+.f32 (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1))))
(fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1)) (sqrt.f32 -1)))
(+.f32 (/.f32 1 u1) -1)
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
(-.f32 (+.f32 1 (+.f32 (/.f32 1 u1) -1)) 1)
(+.f32 (/.f32 1 u1) -1)
(*.f32 1 (+.f32 (/.f32 1 u1) -1))
(+.f32 (/.f32 1 u1) -1)
(*.f32 (-.f32 1 u1) (/.f32 1 u1))
(+.f32 (/.f32 1 u1) -1)
(*.f32 (+.f32 (/.f32 1 u1) -1) 1)
(+.f32 (/.f32 1 u1) -1)
(*.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)) (*.f32 (cbrt.f32 (-.f32 1 u1)) (/.f32 1 u1)))
(*.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)) (*.f32 (/.f32 1 u1) (cbrt.f32 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)) (/.f32 (cbrt.f32 (-.f32 1 u1)) u1))
(*.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2))
(+.f32 (/.f32 1 u1) -1)
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))
(+.f32 (/.f32 1 u1) -1)
(*.f32 (sqrt.f32 (-.f32 1 u1)) (*.f32 (sqrt.f32 (-.f32 1 u1)) (/.f32 1 u1)))
(+.f32 (/.f32 1 u1) -1)
(*.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(+.f32 (/.f32 1 u1) -1)
(*.f32 (neg.f32 (-.f32 1 u1)) (/.f32 1 (neg.f32 u1)))
(+.f32 (/.f32 1 u1) -1)
(*.f32 (/.f32 1 u1) (-.f32 1 u1))
(+.f32 (/.f32 1 u1) -1)
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 u1) 2)) (/.f32 (-.f32 1 u1) (cbrt.f32 u1)))
(+.f32 (/.f32 1 u1) -1)
(*.f32 (/.f32 1 (sqrt.f32 u1)) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))
(+.f32 (/.f32 1 u1) -1)
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)) 1) (/.f32 (cbrt.f32 (-.f32 1 u1)) u1))
(*.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)) (*.f32 (/.f32 1 u1) (cbrt.f32 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)) (/.f32 (cbrt.f32 (-.f32 1 u1)) u1))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)) (pow.f32 (cbrt.f32 u1) 2)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))
(*.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (/.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)) (pow.f32 (cbrt.f32 u1) 2)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)) (sqrt.f32 u1)) (/.f32 (cbrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(*.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)) (*.f32 (/.f32 1 u1) (cbrt.f32 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)) (/.f32 (cbrt.f32 (-.f32 1 u1)) u1))
(*.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) 1) (/.f32 (sqrt.f32 (-.f32 1 u1)) u1))
(+.f32 (/.f32 1 u1) -1)
(*.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (pow.f32 (cbrt.f32 u1) 2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cbrt.f32 u1)))
(+.f32 (/.f32 1 u1) -1)
(pow.f32 (+.f32 (/.f32 1 u1) -1) 1)
(+.f32 (/.f32 1 u1) -1)
(pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 3)
(+.f32 (/.f32 1 u1) -1)
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3) 1/3)
(+.f32 (/.f32 1 u1) -1)
(pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 2)
(+.f32 (/.f32 1 u1) -1)
(pow.f32 (/.f32 u1 (-.f32 1 u1)) -1)
(+.f32 (/.f32 1 u1) -1)
(neg.f32 (/.f32 (-.f32 1 u1) (neg.f32 u1)))
(+.f32 (/.f32 1 u1) -1)
(sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2))
(+.f32 (/.f32 1 u1) -1)
(log.f32 (exp.f32 (+.f32 (/.f32 1 u1) -1)))
(+.f32 (/.f32 1 u1) -1)
(cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3))
(+.f32 (/.f32 1 u1) -1)
(cbrt.f32 (/.f32 (pow.f32 (-.f32 1 u1) 3) (pow.f32 u1 3)))
(+.f32 (/.f32 1 u1) -1)
(expm1.f32 (log1p.f32 (+.f32 (/.f32 1 u1) -1)))
(+.f32 (/.f32 1 u1) -1)
(exp.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)))
(+.f32 (/.f32 1 u1) -1)
(log1p.f32 (expm1.f32 (+.f32 (/.f32 1 u1) -1)))
(+.f32 (/.f32 1 u1) -1)
(-.f32 (+.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) 1)
(+.f32 1 (-.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1))
(+.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 0)
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(*.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))
(+.f32 1 (-.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1))
(+.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 0)
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1)
(+.f32 1 (-.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1))
(+.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 0)
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(*.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1)))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) (cbrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1)) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) (cbrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4))
(+.f32 1 (-.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1))
(+.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 0)
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(*.f32 (pow.f32 1 -1/2) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))
(+.f32 1 (-.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1))
(+.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 0)
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (pow.f32 (/.f32 1 u1) -1/2))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) -1/2) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) -1/2))
(*.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) -1/2) (pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) -1/2))
(pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) -1)
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1))
(+.f32 1 (-.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1))
(+.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 0)
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(log.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(+.f32 1 (-.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1))
(+.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 0)
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(cbrt.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 3))
(+.f32 1 (-.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1))
(+.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 0)
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(expm1.f32 (log1p.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(+.f32 1 (-.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1))
(+.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 0)
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(exp.f32 (*.f32 -1/2 (log.f32 (+.f32 (/.f32 1 u1) -1))))
(+.f32 1 (-.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1))
(+.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 0)
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(log1p.f32 (expm1.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(+.f32 1 (-.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1))
(+.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 0)
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)

localize62.0ms (0.6%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.8%
(cbrt.f32 u1)
98.8%
(pow.f32 (cbrt.f32 u1) 3/2)
Compiler

Compiled 11 to 7 computations (36.4% saved)

series3.0ms (0%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
u1
@-inf
(pow.f32 (cbrt.f32 u1) 3/2)
1.0ms
u1
@0
(pow.f32 (cbrt.f32 u1) 3/2)
1.0ms
u1
@inf
(pow.f32 (cbrt.f32 u1) 3/2)
0.0ms
u1
@-inf
(cbrt.f32 u1)
0.0ms
u1
@inf
(cbrt.f32 u1)

rewrite110.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1142×pow1
1070×add-exp-log
1070×log1p-expm1-u
1070×expm1-log1p-u
1044×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0716
114110
2159610
Stop Event
node limit
Counts
2 → 33
Calls
Call 1
Inputs
(pow.f32 (cbrt.f32 u1) 3/2)
(cbrt.f32 u1)
Outputs
(-.f32 (+.f32 1 (sqrt.f32 u1)) 1)
(*.f32 (cbrt.f32 u1) (pow.f32 u1 1/6))
(*.f32 (sqrt.f32 u1) 1)
(*.f32 1 (sqrt.f32 u1))
(*.f32 (pow.f32 u1 1/6) (cbrt.f32 u1))
(*.f32 (pow.f32 u1 1/4) (pow.f32 u1 1/4))
(*.f32 (pow.f32 1 3/2) (sqrt.f32 u1))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 u1)) 2) 3/2) (pow.f32 (cbrt.f32 (cbrt.f32 u1)) 3/2))
(*.f32 (pow.f32 (pow.f32 u1 1/6) 3/2) (pow.f32 (pow.f32 u1 1/6) 3/2))
(sqrt.f32 u1)
(fabs.f32 (sqrt.f32 u1))
(log.f32 (exp.f32 (sqrt.f32 u1)))
(cbrt.f32 (*.f32 u1 (sqrt.f32 u1)))
(expm1.f32 (log1p.f32 (sqrt.f32 u1)))
(exp.f32 (log.f32 (sqrt.f32 u1)))
(log1p.f32 (expm1.f32 (sqrt.f32 u1)))
(-.f32 (+.f32 1 (cbrt.f32 u1)) 1)
(*.f32 (cbrt.f32 u1) 1)
(*.f32 1 (cbrt.f32 u1))
(*.f32 (cbrt.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 (cbrt.f32 u1)) 2))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 u1)) 2) (cbrt.f32 (cbrt.f32 u1)))
(*.f32 (pow.f32 u1 1/6) (pow.f32 u1 1/6))
(*.f32 (pow.f32 1 1/3) (cbrt.f32 u1))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 u1) 2) 1/3) (cbrt.f32 (cbrt.f32 u1)))
(pow.f32 u1 1/3)
(pow.f32 (cbrt.f32 u1) 1)
(pow.f32 (cbrt.f32 (cbrt.f32 u1)) 3)
(pow.f32 (pow.f32 u1 1/6) 2)
(sqrt.f32 (pow.f32 (cbrt.f32 u1) 2))
(log.f32 (exp.f32 (cbrt.f32 u1)))
(expm1.f32 (log1p.f32 (cbrt.f32 u1)))
(exp.f32 (log.f32 (cbrt.f32 u1)))
(log1p.f32 (expm1.f32 (cbrt.f32 u1)))

simplify70.0ms (0.7%)

Algorithm
egg-herbie
Rules
1756×fma-neg
806×fma-def
714×*-commutative
668×exp-prod
648×log-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
067583
1126397
2384207
31697199
44306199
57799199
Stop Event
node limit
Counts
33 → 40
Calls
Call 1
Inputs
(-.f32 (+.f32 1 (sqrt.f32 u1)) 1)
(*.f32 (cbrt.f32 u1) (pow.f32 u1 1/6))
(*.f32 (sqrt.f32 u1) 1)
(*.f32 1 (sqrt.f32 u1))
(*.f32 (pow.f32 u1 1/6) (cbrt.f32 u1))
(*.f32 (pow.f32 u1 1/4) (pow.f32 u1 1/4))
(*.f32 (pow.f32 1 3/2) (sqrt.f32 u1))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 u1)) 2) 3/2) (pow.f32 (cbrt.f32 (cbrt.f32 u1)) 3/2))
(*.f32 (pow.f32 (pow.f32 u1 1/6) 3/2) (pow.f32 (pow.f32 u1 1/6) 3/2))
(sqrt.f32 u1)
(fabs.f32 (sqrt.f32 u1))
(log.f32 (exp.f32 (sqrt.f32 u1)))
(cbrt.f32 (*.f32 u1 (sqrt.f32 u1)))
(expm1.f32 (log1p.f32 (sqrt.f32 u1)))
(exp.f32 (log.f32 (sqrt.f32 u1)))
(log1p.f32 (expm1.f32 (sqrt.f32 u1)))
(-.f32 (+.f32 1 (cbrt.f32 u1)) 1)
(*.f32 (cbrt.f32 u1) 1)
(*.f32 1 (cbrt.f32 u1))
(*.f32 (cbrt.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 (cbrt.f32 u1)) 2))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 u1)) 2) (cbrt.f32 (cbrt.f32 u1)))
(*.f32 (pow.f32 u1 1/6) (pow.f32 u1 1/6))
(*.f32 (pow.f32 1 1/3) (cbrt.f32 u1))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 u1) 2) 1/3) (cbrt.f32 (cbrt.f32 u1)))
(pow.f32 u1 1/3)
(pow.f32 (cbrt.f32 u1) 1)
(pow.f32 (cbrt.f32 (cbrt.f32 u1)) 3)
(pow.f32 (pow.f32 u1 1/6) 2)
(sqrt.f32 (pow.f32 (cbrt.f32 u1) 2))
(log.f32 (exp.f32 (cbrt.f32 u1)))
(expm1.f32 (log1p.f32 (cbrt.f32 u1)))
(exp.f32 (log.f32 (cbrt.f32 u1)))
(log1p.f32 (expm1.f32 (cbrt.f32 u1)))
Outputs
(-.f32 (+.f32 1 (sqrt.f32 u1)) 1)
(+.f32 1 (-.f32 (sqrt.f32 u1) 1))
(+.f32 (sqrt.f32 u1) 0)
(sqrt.f32 u1)
(*.f32 (cbrt.f32 u1) (pow.f32 u1 1/6))
(+.f32 1 (-.f32 (sqrt.f32 u1) 1))
(+.f32 (sqrt.f32 u1) 0)
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) 1)
(+.f32 1 (-.f32 (sqrt.f32 u1) 1))
(+.f32 (sqrt.f32 u1) 0)
(sqrt.f32 u1)
(*.f32 1 (sqrt.f32 u1))
(+.f32 1 (-.f32 (sqrt.f32 u1) 1))
(+.f32 (sqrt.f32 u1) 0)
(sqrt.f32 u1)
(*.f32 (pow.f32 u1 1/6) (cbrt.f32 u1))
(+.f32 1 (-.f32 (sqrt.f32 u1) 1))
(+.f32 (sqrt.f32 u1) 0)
(sqrt.f32 u1)
(*.f32 (pow.f32 u1 1/4) (pow.f32 u1 1/4))
(+.f32 1 (-.f32 (sqrt.f32 u1) 1))
(+.f32 (sqrt.f32 u1) 0)
(sqrt.f32 u1)
(*.f32 (pow.f32 1 3/2) (sqrt.f32 u1))
(+.f32 1 (-.f32 (sqrt.f32 u1) 1))
(+.f32 (sqrt.f32 u1) 0)
(sqrt.f32 u1)
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 u1)) 2) 3/2) (pow.f32 (cbrt.f32 (cbrt.f32 u1)) 3/2))
(*.f32 (pow.f32 u1 1/6) (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 u1)) 2) 3/2))
(*.f32 (pow.f32 (pow.f32 u1 1/6) 3/2) (pow.f32 (pow.f32 u1 1/6) 3/2))
(+.f32 1 (-.f32 (sqrt.f32 u1) 1))
(+.f32 (sqrt.f32 u1) 0)
(sqrt.f32 u1)
(sqrt.f32 u1)
(+.f32 1 (-.f32 (sqrt.f32 u1) 1))
(+.f32 (sqrt.f32 u1) 0)
(fabs.f32 (sqrt.f32 u1))
(+.f32 1 (-.f32 (sqrt.f32 u1) 1))
(+.f32 (sqrt.f32 u1) 0)
(sqrt.f32 u1)
(log.f32 (exp.f32 (sqrt.f32 u1)))
(+.f32 1 (-.f32 (sqrt.f32 u1) 1))
(+.f32 (sqrt.f32 u1) 0)
(sqrt.f32 u1)
(cbrt.f32 (*.f32 u1 (sqrt.f32 u1)))
(cbrt.f32 (pow.f32 u1 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 u1)))
(+.f32 1 (-.f32 (sqrt.f32 u1) 1))
(+.f32 (sqrt.f32 u1) 0)
(sqrt.f32 u1)
(exp.f32 (log.f32 (sqrt.f32 u1)))
(+.f32 1 (-.f32 (sqrt.f32 u1) 1))
(+.f32 (sqrt.f32 u1) 0)
(sqrt.f32 u1)
(log1p.f32 (expm1.f32 (sqrt.f32 u1)))
(+.f32 1 (-.f32 (sqrt.f32 u1) 1))
(+.f32 (sqrt.f32 u1) 0)
(sqrt.f32 u1)
(-.f32 (+.f32 1 (cbrt.f32 u1)) 1)
(+.f32 1 (-.f32 (cbrt.f32 u1) 1))
(+.f32 (cbrt.f32 u1) 0)
(cbrt.f32 u1)
(*.f32 (cbrt.f32 u1) 1)
(+.f32 1 (-.f32 (cbrt.f32 u1) 1))
(+.f32 (cbrt.f32 u1) 0)
(cbrt.f32 u1)
(*.f32 1 (cbrt.f32 u1))
(+.f32 1 (-.f32 (cbrt.f32 u1) 1))
(+.f32 (cbrt.f32 u1) 0)
(cbrt.f32 u1)
(*.f32 (cbrt.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 (cbrt.f32 u1)) 2))
(+.f32 1 (-.f32 (cbrt.f32 u1) 1))
(+.f32 (cbrt.f32 u1) 0)
(cbrt.f32 u1)
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 u1)) 2) (cbrt.f32 (cbrt.f32 u1)))
(+.f32 1 (-.f32 (cbrt.f32 u1) 1))
(+.f32 (cbrt.f32 u1) 0)
(cbrt.f32 u1)
(*.f32 (pow.f32 u1 1/6) (pow.f32 u1 1/6))
(+.f32 1 (-.f32 (cbrt.f32 u1) 1))
(+.f32 (cbrt.f32 u1) 0)
(cbrt.f32 u1)
(*.f32 (pow.f32 1 1/3) (cbrt.f32 u1))
(+.f32 1 (-.f32 (cbrt.f32 u1) 1))
(+.f32 (cbrt.f32 u1) 0)
(cbrt.f32 u1)
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 u1) 2) 1/3) (cbrt.f32 (cbrt.f32 u1)))
(+.f32 1 (-.f32 (cbrt.f32 u1) 1))
(+.f32 (cbrt.f32 u1) 0)
(cbrt.f32 u1)
(pow.f32 u1 1/3)
(+.f32 1 (-.f32 (cbrt.f32 u1) 1))
(+.f32 (cbrt.f32 u1) 0)
(cbrt.f32 u1)
(pow.f32 (cbrt.f32 u1) 1)
(+.f32 1 (-.f32 (cbrt.f32 u1) 1))
(+.f32 (cbrt.f32 u1) 0)
(cbrt.f32 u1)
(pow.f32 (cbrt.f32 (cbrt.f32 u1)) 3)
(+.f32 1 (-.f32 (cbrt.f32 u1) 1))
(+.f32 (cbrt.f32 u1) 0)
(cbrt.f32 u1)
(pow.f32 (pow.f32 u1 1/6) 2)
(+.f32 1 (-.f32 (cbrt.f32 u1) 1))
(+.f32 (cbrt.f32 u1) 0)
(cbrt.f32 u1)
(sqrt.f32 (pow.f32 (cbrt.f32 u1) 2))
(+.f32 1 (-.f32 (cbrt.f32 u1) 1))
(+.f32 (cbrt.f32 u1) 0)
(cbrt.f32 u1)
(log.f32 (exp.f32 (cbrt.f32 u1)))
(+.f32 1 (-.f32 (cbrt.f32 u1) 1))
(+.f32 (cbrt.f32 u1) 0)
(cbrt.f32 u1)
(expm1.f32 (log1p.f32 (cbrt.f32 u1)))
(+.f32 1 (-.f32 (cbrt.f32 u1) 1))
(+.f32 (cbrt.f32 u1) 0)
(cbrt.f32 u1)
(exp.f32 (log.f32 (cbrt.f32 u1)))
(+.f32 1 (-.f32 (cbrt.f32 u1) 1))
(+.f32 (cbrt.f32 u1) 0)
(cbrt.f32 u1)
(log1p.f32 (expm1.f32 (cbrt.f32 u1)))
(+.f32 1 (-.f32 (cbrt.f32 u1) 1))
(+.f32 (cbrt.f32 u1) 0)
(cbrt.f32 u1)

localize57.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.6%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
99.5%
(cos.f32 (*.f32 314159265359/50000000000 u2))
99.3%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 u1 -1/2)))
99.1%
(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 45 to 31 computations (31.1% saved)

series9.0ms (0.1%)

Counts
2 → 24
Calls

12 calls:

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

rewrite111.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1460×log-prod
780×prod-diff
620×pow-exp
568×fma-def
532×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01560
130856
2387556
Stop Event
node limit
Counts
2 → 76
Calls
Call 1
Inputs
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 u1 -1/2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
Outputs
(+.f32 0 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) (cbrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (log.f32 (cbrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (log.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)
(*.f32 (sqrt.f32 u1) (/.f32 1 (/.f32 (fma.f32 u1 -1/2 1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (fma.f32 u1 -1/2 1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 u1) (/.f32 1 (fma.f32 u1 -1/2 1))))
(*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 1 (fma.f32 u1 -1/2 1)))
(*.f32 1 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(*.f32 (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (pow.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)) (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (*.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 1 (fma.f32 u1 -1/2 1))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 1 (fma.f32 u1 -1/2 1))))
(*.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 1 (neg.f32 (fma.f32 u1 -1/2 1))))
(*.f32 (/.f32 1 (fma.f32 u1 -1/2 1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (fma.f32 u1 -1/2 1)))
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 1)) 2)) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (fma.f32 u1 -1/2 1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (fma.f32 u1 -1/2 1))) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (fma.f32 u1 -1/2 1))))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (fma.f32 u1 -1/2 1))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (fma.f32 u1 -1/2 1))))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1) (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)))
(*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 1)) 2)) (/.f32 (sqrt.f32 u1) (cbrt.f32 (fma.f32 u1 -1/2 1))))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 1)) 2)) (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (cbrt.f32 (fma.f32 u1 -1/2 1))))
(*.f32 (/.f32 1 (sqrt.f32 (fma.f32 u1 -1/2 1))) (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 u1 -1/2 1))))
(*.f32 (/.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1) (/.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (fma.f32 u1 -1/2 1)))
(*.f32 (/.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 1)) 2)) (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (/.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (sqrt.f32 (fma.f32 u1 -1/2 1))) (/.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (fma.f32 u1 -1/2 1))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (fma.f32 u1 -1/2 1)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 1)) 2)) (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (fma.f32 u1 -1/2 1))))
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (fma.f32 -1/8 (pow.f32 u1 3) 1)) (fma.f32 (*.f32 u1 -1/2) (fma.f32 u1 -1/2 -1) 1))
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (-.f32 1 (*.f32 1/4 (*.f32 u1 u1)))) (+.f32 1 (*.f32 1/2 u1)))
(pow.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (pow.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)
(pow.f32 (/.f32 (fma.f32 u1 -1/2 1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) -1)
(pow.f32 (/.f32 (/.f32 (fma.f32 u1 -1/2 1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) -1)
(neg.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (fma.f32 u1 -1/2 1))))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))
(log.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) (pow.f32 (fma.f32 u1 -1/2 1) 3)))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 2))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 u1 -1/2 1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))) -1))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 0 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)
(pow.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)
(sqrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))
(cbrt.f32 (*.f32 (pow.f32 u1 3/2) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 u1 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 2))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))

simplify148.0ms (1.4%)

Algorithm
egg-herbie
Rules
1876×fma-def
1272×times-frac
842×distribute-lft-in
786×distribute-rgt-in
680×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02524098
16113968
221433820
Stop Event
node limit
Counts
100 → 142
Calls
Call 1
Inputs
(*.f32 (/.f32 1 (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1))
(+.f32 (*.f32 (/.f32 1 (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1)) (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (/.f32 (pow.f32 u2 2) (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1))))
(+.f32 (*.f32 (/.f32 1 (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1)) (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (/.f32 (pow.f32 u2 2) (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (/.f32 (pow.f32 u2 4) (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1)))))
(+.f32 (*.f32 (/.f32 1 (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1)) (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (/.f32 (pow.f32 u2 2) (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1))) (+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (/.f32 (pow.f32 u2 6) (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (/.f32 (pow.f32 u2 4) (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1))))))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 u1))))
(+.f32 (sqrt.f32 u1) (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 u1))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 u1)))))
(+.f32 (sqrt.f32 u1) (+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 6) (sqrt.f32 u1))) (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 u1))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 u1))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(+.f32 0 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) (cbrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (log.f32 (cbrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (log.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)
(*.f32 (sqrt.f32 u1) (/.f32 1 (/.f32 (fma.f32 u1 -1/2 1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (fma.f32 u1 -1/2 1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 u1) (/.f32 1 (fma.f32 u1 -1/2 1))))
(*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 1 (fma.f32 u1 -1/2 1)))
(*.f32 1 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(*.f32 (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (pow.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)) (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (*.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 1 (fma.f32 u1 -1/2 1))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 1 (fma.f32 u1 -1/2 1))))
(*.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 1 (neg.f32 (fma.f32 u1 -1/2 1))))
(*.f32 (/.f32 1 (fma.f32 u1 -1/2 1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (fma.f32 u1 -1/2 1)))
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 1)) 2)) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (fma.f32 u1 -1/2 1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (fma.f32 u1 -1/2 1))) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (fma.f32 u1 -1/2 1))))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (fma.f32 u1 -1/2 1))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (fma.f32 u1 -1/2 1))))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1) (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)))
(*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 1)) 2)) (/.f32 (sqrt.f32 u1) (cbrt.f32 (fma.f32 u1 -1/2 1))))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 1)) 2)) (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (cbrt.f32 (fma.f32 u1 -1/2 1))))
(*.f32 (/.f32 1 (sqrt.f32 (fma.f32 u1 -1/2 1))) (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 u1 -1/2 1))))
(*.f32 (/.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1) (/.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (fma.f32 u1 -1/2 1)))
(*.f32 (/.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 1)) 2)) (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (/.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (sqrt.f32 (fma.f32 u1 -1/2 1))) (/.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (fma.f32 u1 -1/2 1))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (fma.f32 u1 -1/2 1)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 1)) 2)) (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (fma.f32 u1 -1/2 1))))
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (fma.f32 -1/8 (pow.f32 u1 3) 1)) (fma.f32 (*.f32 u1 -1/2) (fma.f32 u1 -1/2 -1) 1))
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (-.f32 1 (*.f32 1/4 (*.f32 u1 u1)))) (+.f32 1 (*.f32 1/2 u1)))
(pow.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (pow.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)
(pow.f32 (/.f32 (fma.f32 u1 -1/2 1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) -1)
(pow.f32 (/.f32 (/.f32 (fma.f32 u1 -1/2 1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) -1)
(neg.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (fma.f32 u1 -1/2 1))))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))
(log.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) (pow.f32 (fma.f32 u1 -1/2 1) 3)))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 2))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 u1 -1/2 1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))) -1))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 0 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)
(pow.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)
(sqrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))
(cbrt.f32 (*.f32 (pow.f32 u1 3/2) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 u1 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 2))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
Outputs
(*.f32 (/.f32 1 (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (/.f32 1 (fma.f32 u1 -1/2 1)))
(/.f32 (sqrt.f32 u1) (fma.f32 -1/2 u1 1))
(+.f32 (*.f32 (/.f32 1 (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1)) (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (/.f32 (pow.f32 u2 2) (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1))))
(fma.f32 (/.f32 1 (fma.f32 u1 -1/2 1)) (sqrt.f32 u1) (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (sqrt.f32 u1) (/.f32 (*.f32 u2 u2) (fma.f32 u1 -1/2 1)))))
(*.f32 (sqrt.f32 u1) (+.f32 (/.f32 1 (fma.f32 -1/2 u1 1)) (/.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (fma.f32 -1/2 u1 1))))
(*.f32 (sqrt.f32 u1) (fma.f32 -98696044010906577398881/5000000000000000000000 (/.f32 u2 (/.f32 (fma.f32 -1/2 u1 1) u2)) (/.f32 1 (fma.f32 -1/2 u1 1))))
(+.f32 (*.f32 (/.f32 1 (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1)) (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (/.f32 (pow.f32 u2 2) (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (/.f32 (pow.f32 u2 4) (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1)))))
(fma.f32 (/.f32 1 (fma.f32 u1 -1/2 1)) (sqrt.f32 u1) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (sqrt.f32 u1) (/.f32 (*.f32 u2 u2) (fma.f32 u1 -1/2 1))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 u1) (/.f32 (pow.f32 u2 4) (fma.f32 u1 -1/2 1))))))
(+.f32 (*.f32 (sqrt.f32 u1) (+.f32 (/.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (fma.f32 -1/2 u1 1)) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (fma.f32 -1/2 u1 1))))) (/.f32 (sqrt.f32 u1) (fma.f32 -1/2 u1 1)))
(*.f32 (sqrt.f32 u1) (+.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (/.f32 u2 (/.f32 (fma.f32 -1/2 u1 1) u2)) (/.f32 1 (fma.f32 -1/2 u1 1))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (fma.f32 -1/2 u1 1)))))
(+.f32 (*.f32 (/.f32 1 (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1)) (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (/.f32 (pow.f32 u2 2) (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1))) (+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (/.f32 (pow.f32 u2 6) (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (/.f32 (pow.f32 u2 4) (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1))))))
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(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)))
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (fma.f32 -1/2 u1 1)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (fma.f32 -1/2 u1 1)))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)))
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (fma.f32 -1/2 u1 1)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (fma.f32 -1/2 u1 1)))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) (pow.f32 (fma.f32 u1 -1/2 1) 3)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)))
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (fma.f32 -1/2 u1 1)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (fma.f32 -1/2 u1 1)))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)))
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (fma.f32 -1/2 u1 1)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (fma.f32 -1/2 u1 1)))
(exp.f32 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)))
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (fma.f32 -1/2 u1 1)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (fma.f32 -1/2 u1 1)))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)))
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (fma.f32 -1/2 u1 1)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (fma.f32 -1/2 u1 1)))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) 1))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)))
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (fma.f32 -1/2 u1 1)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (fma.f32 -1/2 u1 1)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 3))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)))
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (fma.f32 -1/2 u1 1)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (fma.f32 -1/2 u1 1)))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1/3))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)))
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (fma.f32 -1/2 u1 1)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (fma.f32 -1/2 u1 1)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 2))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)))
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (fma.f32 -1/2 u1 1)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (fma.f32 -1/2 u1 1)))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 u1 -1/2 1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))) -1))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)))
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (fma.f32 -1/2 u1 1)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (fma.f32 -1/2 u1 1)))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)))
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (fma.f32 -1/2 u1 1)))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (fma.f32 -1/2 u1 1)))
(+.f32 0 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000)))) (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))))))
(*.f32 3 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(pow.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(sqrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(sqrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(cbrt.f32 (*.f32 (pow.f32 u1 3/2) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 u1 3/2) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 u1 3/2)))
(cbrt.f32 (*.f32 (pow.f32 u1 3/2) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) 1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 3))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1/3))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 2))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))

localize93.0ms (0.9%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.5%
(/.f32 (-.f32 1 u1) u1)
99.1%
(*.f32 u2 314159265359/50000000000)
99.0%
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 1 u1) u1)) 1/2)))
96.9%
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 1 u1) u1)) 1/2))
Compiler

Compiled 60 to 44 computations (26.7% saved)

series3.0ms (0%)

Counts
2 → 28
Calls

9 calls:

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

rewrite83.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1512×log-prod
764×prod-diff
646×pow-exp
564×expm1-udef
560×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01654
132950
2414250
Stop Event
node limit
Counts
2 → 76
Calls
Call 1
Inputs
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 1 u1) u1)) 1/2))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 1 u1) u1)) 1/2)))
Outputs
(+.f32 0 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 1)
(*.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(*.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 1)
(*.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))
(*.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(*.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (/.f32 1 u1)))
(*.f32 (sqrt.f32 (-.f32 1 u1)) (pow.f32 (/.f32 1 u1) 1/2))
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2))) (sqrt.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2)) 1/2) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 1/2))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 1 u1))) (sqrt.f32 (neg.f32 u1)))
(pow.f32 (+.f32 (/.f32 1 u1) -1) 1/2)
(pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 1)
(pow.f32 (exp.f32 1/2) (log.f32 (+.f32 (/.f32 1 u1) -1)))
(pow.f32 (E.f32) (log.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(pow.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 3)
(pow.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 3) 1/3)
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4) 2)
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 2))) (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) (sqrt.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1)
(sqrt.f32 (+.f32 (/.f32 1 u1) -1))
(fabs.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(log.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(cbrt.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 3))
(expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(log1p.f32 (expm1.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(+.f32 0 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) (cbrt.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 1)
(*.f32 1 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))
(*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 1)
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2) (*.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(*.f32 (cbrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 (/.f32 1 u1) -1))))
(*.f32 (cbrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(*.f32 (sqrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (sqrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (/.f32 1 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (/.f32 1 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (/.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2) 1) (/.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (/.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))
(*.f32 (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 1) (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(*.f32 (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(pow.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 1)
(pow.f32 (cbrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 3)
(pow.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 3) 1/3)
(pow.f32 (sqrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 2)
(pow.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 u2 314159265359/50000000000))) -1)
(pow.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 u2 314159265359/50000000000))) 1) -1)
(neg.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(sqrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 (/.f32 1 u1) -1)))
(log.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))
(cbrt.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 3))
(cbrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3) (pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 3)))
(expm1.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(exp.f32 (log.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 2))
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 u2 314159265359/50000000000)))) -1))
(log1p.f32 (expm1.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))

simplify166.0ms (1.5%)

Algorithm
egg-herbie
Rules
1624×fma-def
1378×associate-/l*
1160×associate-*r/
914×associate-*l/
542×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02784386
16934230
223204002
Stop Event
node limit
Counts
104 → 139
Calls
Call 1
Inputs
(sqrt.f32 -1)
(+.f32 (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))) (sqrt.f32 -1))
(-.f32 (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) (*.f32 1/8 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))))
(-.f32 (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/16 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))) (*.f32 1/8 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))))
(sqrt.f32 -1)
(+.f32 (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))) (sqrt.f32 -1))
(-.f32 (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) (*.f32 1/8 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))))
(-.f32 (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/16 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))) (*.f32 1/8 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (cos.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) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (-.f32 1 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(+.f32 0 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 1)
(*.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(*.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 1)
(*.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))
(*.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(*.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (/.f32 1 u1)))
(*.f32 (sqrt.f32 (-.f32 1 u1)) (pow.f32 (/.f32 1 u1) 1/2))
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2))) (sqrt.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2)) 1/2) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 1/2))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 1 u1))) (sqrt.f32 (neg.f32 u1)))
(pow.f32 (+.f32 (/.f32 1 u1) -1) 1/2)
(pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 1)
(pow.f32 (exp.f32 1/2) (log.f32 (+.f32 (/.f32 1 u1) -1)))
(pow.f32 (E.f32) (log.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(pow.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 3)
(pow.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 3) 1/3)
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4) 2)
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 2))) (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) (sqrt.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1)
(sqrt.f32 (+.f32 (/.f32 1 u1) -1))
(fabs.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(log.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(cbrt.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 3))
(expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(log1p.f32 (expm1.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(+.f32 0 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) (cbrt.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 1)
(*.f32 1 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))
(*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 1)
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2) (*.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(*.f32 (cbrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 (/.f32 1 u1) -1))))
(*.f32 (cbrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(*.f32 (sqrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (sqrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (/.f32 1 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (/.f32 1 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (/.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2) 1) (/.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (/.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))
(*.f32 (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 1) (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(*.f32 (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(pow.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 1)
(pow.f32 (cbrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 3)
(pow.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 3) 1/3)
(pow.f32 (sqrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 2)
(pow.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 u2 314159265359/50000000000))) -1)
(pow.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 u2 314159265359/50000000000))) 1) -1)
(neg.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(sqrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 (/.f32 1 u1) -1)))
(log.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))
(cbrt.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 3))
(cbrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3) (pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 3)))
(expm1.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(exp.f32 (log.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 2))
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 u2 314159265359/50000000000)))) -1))
(log1p.f32 (expm1.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
Outputs
(sqrt.f32 -1)
(+.f32 (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))) (sqrt.f32 -1))
(+.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (/.f32 (/.f32 1/2 (sqrt.f32 -1)) u1))
(-.f32 (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) (*.f32 1/8 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))))
(-.f32 (+.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1))) (/.f32 1/8 (*.f32 (pow.f32 (sqrt.f32 -1) 3) (*.f32 u1 u1))))
(+.f32 (+.f32 (sqrt.f32 -1) (/.f32 (/.f32 1/2 (sqrt.f32 -1)) u1)) (*.f32 (/.f32 (/.f32 -1 (sqrt.f32 -1)) (*.f32 u1 u1)) -1/8))
(+.f32 (sqrt.f32 -1) (+.f32 (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)) (/.f32 (/.f32 1/8 (sqrt.f32 -1)) (*.f32 u1 u1))))
(-.f32 (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/16 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))) (*.f32 1/8 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))))
(+.f32 (sqrt.f32 -1) (-.f32 (+.f32 (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)) (/.f32 1/16 (*.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (/.f32 1/8 (*.f32 (pow.f32 (sqrt.f32 -1) 3) (*.f32 u1 u1)))))
(+.f32 (sqrt.f32 -1) (+.f32 (/.f32 (/.f32 1/2 (sqrt.f32 -1)) u1) (-.f32 (/.f32 (/.f32 1/16 (pow.f32 (sqrt.f32 -1) 5)) (pow.f32 u1 3)) (*.f32 1/8 (/.f32 (/.f32 -1 (sqrt.f32 -1)) (*.f32 u1 u1))))))
(+.f32 (sqrt.f32 -1) (+.f32 (/.f32 1/16 (*.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3))) (+.f32 (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)) (/.f32 (/.f32 1/8 (sqrt.f32 -1)) (*.f32 u1 u1)))))
(sqrt.f32 -1)
(+.f32 (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))) (sqrt.f32 -1))
(+.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (/.f32 (/.f32 1/2 (sqrt.f32 -1)) u1))
(-.f32 (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) (*.f32 1/8 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))))
(-.f32 (+.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1))) (/.f32 1/8 (*.f32 (pow.f32 (sqrt.f32 -1) 3) (*.f32 u1 u1))))
(+.f32 (+.f32 (sqrt.f32 -1) (/.f32 (/.f32 1/2 (sqrt.f32 -1)) u1)) (*.f32 (/.f32 (/.f32 -1 (sqrt.f32 -1)) (*.f32 u1 u1)) -1/8))
(+.f32 (sqrt.f32 -1) (+.f32 (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)) (/.f32 (/.f32 1/8 (sqrt.f32 -1)) (*.f32 u1 u1))))
(-.f32 (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/16 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))) (*.f32 1/8 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))))
(+.f32 (sqrt.f32 -1) (-.f32 (+.f32 (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)) (/.f32 1/16 (*.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (/.f32 1/8 (*.f32 (pow.f32 (sqrt.f32 -1) 3) (*.f32 u1 u1)))))
(+.f32 (sqrt.f32 -1) (+.f32 (/.f32 (/.f32 1/2 (sqrt.f32 -1)) u1) (-.f32 (/.f32 (/.f32 1/16 (pow.f32 (sqrt.f32 -1) 5)) (pow.f32 u1 3)) (*.f32 1/8 (/.f32 (/.f32 -1 (sqrt.f32 -1)) (*.f32 u1 u1))))))
(+.f32 (sqrt.f32 -1) (+.f32 (/.f32 1/16 (*.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3))) (+.f32 (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)) (/.f32 (/.f32 1/8 (sqrt.f32 -1)) (*.f32 u1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 u2)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 u2)) (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 (+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) (*.f32 (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) u1)) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (*.f32 (sqrt.f32 -1) u1) -1/2)))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) u1)) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(fma.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) u1) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1))))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (cos.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) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
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(*.f32 (/.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2) 1) (/.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (cbrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))) (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2) (cbrt.f32 (+.f32 -1 (/.f32 1 u1)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (/.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(*.f32 (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 1) (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(*.f32 (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (/.f32 1 (cbrt.f32 (+.f32 -1 (/.f32 1 u1)))) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))))
(/.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (cbrt.f32 (+.f32 -1 (/.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))))
(pow.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 1)
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(pow.f32 (cbrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 3)
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(pow.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 3) 1/3)
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(pow.f32 (sqrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 2)
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(pow.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 u2 314159265359/50000000000))) -1)
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(pow.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 u2 314159265359/50000000000))) 1) -1)
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(neg.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(sqrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 (/.f32 1 u1) -1)))
(sqrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 -1 (/.f32 1 u1))))
(log.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(cbrt.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 3))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(cbrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3) (pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 3)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(expm1.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(exp.f32 (log.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(exp.f32 (*.f32 (log.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 1))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 1) 1))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 3))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 1/3))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 2))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 u2 314159265359/50000000000)))) -1))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(log1p.f32 (expm1.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))

eval449.0ms (4.2%)

Compiler

Compiled 12825 to 10075 computations (21.4% saved)

prune186.0ms (1.7%)

Pruning

54 alts after pruning (43 fresh and 11 done)

PrunedKeptTotal
New67218690
Fresh62531
Picked011
Done21012
Total68054734
Accurracy
99.8%
Counts
734 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.4%
(pow.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 3) 1/3)
59.4%
(pow.f32 (pow.f32 u1 1/3) 3/2)
77.8%
(pow.f32 (/.f32 (-.f32 1 u1) u1) -1/2)
60.5%
(pow.f32 (/.f32 1 u1) -1/2)
77.7%
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
85.5%
(pow.f32 (exp.f32 1/3) (*.f32 3 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000))))))
98.1%
(/.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 u1 -1/2)) (sqrt.f32 (-.f32 1 u1)))
76.3%
(/.f32 (+.f32 (sqrt.f32 u1) (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)))) (+.f32 1 (*.f32 u1 -1/2)))
76.2%
(/.f32 (*.f32 (sqrt.f32 u1) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)) (+.f32 1 (*.f32 u1 -1/2)))
85.9%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 u1 -1/2)))
98.4%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
85.9%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2)))) (+.f32 1 (*.f32 u1 -1/2)))
98.5%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2)))) (sqrt.f32 (-.f32 1 u1)))
65.2%
(/.f32 (*.f32 3 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000)))))) (+.f32 1 (*.f32 u1 -1/2)))
69.0%
(/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 u1 -1/2)))
77.6%
(/.f32 (exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1/3)) (+.f32 1 (*.f32 u1 -1/2)))
98.5%
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
72.9%
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 1 (sqrt.f32 u1)))
98.3%
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
98.3%
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
95.0%
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (exp.f32 (*.f32 (*.f32 3 (log.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 1/3)))
96.0%
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (exp.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 3)) 1/2)))
96.2%
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 1 u1) u1)) 1/2)))
71.8%
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (exp.f32 (*.f32 (log.f32 (/.f32 1 u1)) 1/2)))
98.4%
(/.f32 (cos.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
77.4%
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
66.1%
(-.f32 (+.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) 1)
66.1%
(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
52.1%
(-.f32 (+.f32 1 (sqrt.f32 u1)) 1)
67.7%
(+.f32 1 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1))
53.1%
(+.f32 1 (-.f32 (sqrt.f32 u1) 1))
98.3%
(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
98.8%
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 u2 314159265359/50000000000)))
86.6%
(*.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
51.8%
(*.f32 (sqrt.f32 (fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) 2) (cbrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
98.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1))
96.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) (cbrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
95.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (-.f32 (+.f32 1 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)))
86.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (+.f32 1/3 (*.f32 (*.f32 u2 u2) -98696044010906577398881/15000000000000000000000))))
94.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (*.f32 2 (log.f32 (sqrt.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))))
98.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
97.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
97.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2))))))
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2))))
56.9%
(*.f32 (sqrt.f32 (+.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
98.6%
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
98.3%
(*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) -1/2)))
73.0%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
77.7%
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
77.6%
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
60.5%
(sqrt.f32 u1)
80.4%
(log.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
89.0%
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1/3))
Compiler

Compiled 860 to 713 computations (17.1% saved)

regimes429.0ms (4%)

Counts
93 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(pow.f32 (/.f32 1 u1) -1/2)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 1 (-.f32 (sqrt.f32 u1) 1))
(-.f32 (+.f32 1 (sqrt.f32 u1)) 1)
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
(pow.f32 (/.f32 (-.f32 1 u1) u1) -1/2)
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 u1 -1/2)))
(+.f32 1 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(-.f32 (+.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) 1)
(*.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (+.f32 1/3 (*.f32 (*.f32 u2 u2) -98696044010906577398881/15000000000000000000000))))
(pow.f32 (cbrt.f32 u1) 3/2)
(pow.f32 (pow.f32 u1 1/3) 3/2)
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 1 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (+.f32 1 (*.f32 u1 -1/2)) (sqrt.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 u1 -1/2)))
(*.f32 (sqrt.f32 (+.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1))
(/.f32 (*.f32 (sqrt.f32 u1) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)) (+.f32 1 (*.f32 u1 -1/2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (+.f32 (sqrt.f32 u1) (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)))) (+.f32 1 (*.f32 u1 -1/2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (-.f32 (+.f32 1 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (exp.f32 (*.f32 (log.f32 (/.f32 1 u1)) 1/2)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(sqrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 (/.f32 1 u1) -1)))
(*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) -1/2)))
(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 u1 -1/2)) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))) -1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2))))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 1 u1) u1)) 1/2)))
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 u1 -1/2)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (neg.f32 (sqrt.f32 (-.f32 1 u1))) (/.f32 1 (neg.f32 (sqrt.f32 u1)))))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2)))) (+.f32 1 (*.f32 u1 -1/2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (*.f32 1/3 (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2))))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(log.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (cos.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2)))) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3)
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3)
(pow.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 3) 1/3)
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1/3))
(*.f32 (sqrt.f32 (exp.f32 (*.f32 (*.f32 3 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (exp.f32 (*.f32 (*.f32 3 (log.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 1/3)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (/.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))) (sqrt.f32 (+.f32 u1 1))) (sqrt.f32 u1)))
(/.f32 (exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1/3)) (+.f32 1 (*.f32 u1 -1/2)))
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 5/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (log.f32 (pow.f32 (exp.f32 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (exp.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 3)) 1/2)))
(pow.f32 (exp.f32 1/3) (*.f32 3 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000))))))
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 3 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000)))))) (+.f32 1 (*.f32 u1 -1/2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (*.f32 2 (log.f32 (sqrt.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))))
(*.f32 (sqrt.f32 (fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) 2) (cbrt.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1)))) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 (cos.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (cos.f32 1)) (*.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (sin.f32 1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) (cbrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2))))
Calls

8 calls:

83.0ms
u1
70.0ms
cosTheta_i
45.0ms
(/.f32 u1 (-.f32 1 u1))
45.0ms
u2
41.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
Results
AccuracySegmentsBranch
98.9%1cosTheta_i
98.9%1u1
98.9%1u2
98.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
98.9%1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
98.9%1(/.f32 u1 (-.f32 1 u1))
98.9%1(cos.f32 (*.f32 314159265359/50000000000 u2))
98.9%1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 1346 to 1027 computations (23.7% saved)

regimes414.0ms (3.8%)

Counts
50 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(pow.f32 (/.f32 1 u1) -1/2)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 1 (-.f32 (sqrt.f32 u1) 1))
(-.f32 (+.f32 1 (sqrt.f32 u1)) 1)
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
(pow.f32 (/.f32 (-.f32 1 u1) u1) -1/2)
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 u1 -1/2)))
(+.f32 1 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(-.f32 (+.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) 1)
(*.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (+.f32 1/3 (*.f32 (*.f32 u2 u2) -98696044010906577398881/15000000000000000000000))))
(pow.f32 (cbrt.f32 u1) 3/2)
(pow.f32 (pow.f32 u1 1/3) 3/2)
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 1 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (+.f32 1 (*.f32 u1 -1/2)) (sqrt.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 u1 -1/2)))
(*.f32 (sqrt.f32 (+.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1))
(/.f32 (*.f32 (sqrt.f32 u1) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)) (+.f32 1 (*.f32 u1 -1/2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (+.f32 (sqrt.f32 u1) (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)))) (+.f32 1 (*.f32 u1 -1/2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (-.f32 (+.f32 1 (*.f32 1/3 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (exp.f32 (*.f32 (log.f32 (/.f32 1 u1)) 1/2)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(sqrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 (/.f32 1 u1) -1)))
(*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) -1/2)))
(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 u1 -1/2)) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))) -1)
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
Calls

8 calls:

104.0ms
(*.f32 314159265359/50000000000 u2)
75.0ms
(/.f32 u1 (-.f32 1 u1))
67.0ms
u2
47.0ms
(cos.f32 (*.f32 314159265359/50000000000 u2))
32.0ms
u1
Results
AccuracySegmentsBranch
98.8%1cosTheta_i
98.8%1u1
98.8%1u2
98.8%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
98.8%1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
98.8%1(/.f32 u1 (-.f32 1 u1))
98.8%1(cos.f32 (*.f32 314159265359/50000000000 u2))
98.8%1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 604 to 452 computations (25.2% saved)

regimes264.0ms (2.5%)

Counts
22 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(pow.f32 (/.f32 1 u1) -1/2)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 1 (-.f32 (sqrt.f32 u1) 1))
(-.f32 (+.f32 1 (sqrt.f32 u1)) 1)
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
(pow.f32 (/.f32 (-.f32 1 u1) u1) -1/2)
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 u1 -1/2)))
(+.f32 1 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(-.f32 (+.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) 1)
(*.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (+.f32 1/3 (*.f32 (*.f32 u2 u2) -98696044010906577398881/15000000000000000000000))))
(pow.f32 (cbrt.f32 u1) 3/2)
(pow.f32 (pow.f32 u1 1/3) 3/2)
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 1 (sqrt.f32 u1)))
Outputs
(*.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
Calls

7 calls:

71.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
59.0ms
(*.f32 314159265359/50000000000 u2)
22.0ms
u2
21.0ms
(/.f32 u1 (-.f32 1 u1))
21.0ms
u1
Results
AccuracySegmentsBranch
86.6%1cosTheta_i
90.5%2u1
92.9%2u2
90.5%2(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
90.5%2(/.f32 u1 (-.f32 1 u1))
92.9%2(cos.f32 (*.f32 314159265359/50000000000 u2))
92.9%2(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 218 to 165 computations (24.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.19078123569488525
0.1913888305425644
Compiler

Compiled 20 to 16 computations (20% saved)

regimes104.0ms (1%)

Counts
19 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(pow.f32 (/.f32 1 u1) -1/2)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 1 (-.f32 (sqrt.f32 u1) 1))
(-.f32 (+.f32 1 (sqrt.f32 u1)) 1)
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
(pow.f32 (/.f32 (-.f32 1 u1) u1) -1/2)
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 u1 -1/2)))
(+.f32 1 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(-.f32 (+.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) 1)
(*.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (+.f32 1/3 (*.f32 (*.f32 u2 u2) -98696044010906577398881/15000000000000000000000))))
(pow.f32 (cbrt.f32 u1) 3/2)
(pow.f32 (pow.f32 u1 1/3) 3/2)
Outputs
(*.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
Calls

5 calls:

15.0ms
(/.f32 u1 (-.f32 1 u1))
11.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
10.0ms
cosTheta_i
10.0ms
u1
10.0ms
u2
Results
AccuracySegmentsBranch
86.6%1cosTheta_i
86.6%1u1
86.6%1u2
86.6%1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
86.6%1(/.f32 u1 (-.f32 1 u1))
Compiler

Compiled 181 to 138 computations (23.8% saved)

regimes46.0ms (0.4%)

Counts
15 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(pow.f32 (/.f32 1 u1) -1/2)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 1 (-.f32 (sqrt.f32 u1) 1))
(-.f32 (+.f32 1 (sqrt.f32 u1)) 1)
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
(pow.f32 (/.f32 (-.f32 1 u1) u1) -1/2)
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 u1 -1/2)))
(+.f32 1 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(-.f32 (+.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) 1)
Outputs
(pow.f32 (/.f32 (-.f32 1 u1) u1) -1/2)
Calls

5 calls:

9.0ms
(/.f32 u1 (-.f32 1 u1))
9.0ms
u1
8.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
8.0ms
u2
8.0ms
cosTheta_i
Results
AccuracySegmentsBranch
77.8%1cosTheta_i
77.8%1u1
77.8%1u2
77.8%1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
77.8%1(/.f32 u1 (-.f32 1 u1))
Compiler

Compiled 142 to 110 computations (22.5% saved)

regimes26.0ms (0.2%)

Counts
6 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(pow.f32 (/.f32 1 u1) -1/2)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 1 (-.f32 (sqrt.f32 u1) 1))
(-.f32 (+.f32 1 (sqrt.f32 u1)) 1)
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
Outputs
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
Calls

5 calls:

5.0ms
u2
5.0ms
(/.f32 u1 (-.f32 1 u1))
5.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
5.0ms
u1
4.0ms
cosTheta_i
Results
AccuracySegmentsBranch
77.7%1cosTheta_i
77.7%1u1
77.7%1u2
77.7%1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
77.7%1(/.f32 u1 (-.f32 1 u1))
Compiler

Compiled 64 to 48 computations (25% saved)

regimes10.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(pow.f32 (/.f32 1 u1) -1/2)
Outputs
(sqrt.f32 u1)
Calls

3 calls:

3.0ms
cosTheta_i
3.0ms
u1
3.0ms
u2
Results
AccuracySegmentsBranch
60.5%1cosTheta_i
60.5%1u1
60.5%1u2
Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
18×*-commutative
+-commutative
sub-neg
1-exp
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035235
148235
252235
354235
455235
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(if (<=.f32 (*.f32 314159265359/50000000000 u2) 12817793/67108864) (*.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (/.f32 (-.f32 1 u1) u1) -1/2)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 u1)
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2) u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (*.f32 u2 (*.f32 98696044010906577398881/2500000000000000000000 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(if (<=.f32 (*.f32 314159265359/50000000000 u2) 12817793/67108864) (*.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(if (<=.f32 (*.f32 u2 314159265359/50000000000) 12817793/67108864) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)))) (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)))
(*.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
(pow.f32 (/.f32 (-.f32 1 u1) u1) -1/2)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 u1)
Compiler

Compiled 102 to 79 computations (22.5% saved)

soundness1.0s (9.4%)

Rules
1736×times-frac
1732×pow1
1608×add-exp-log
1608×log1p-expm1-u
1608×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01364
126664
2328764
03994294971631
19324163
233943891
0817
116717
2215717
01111282
12521140
26641014
32165872
47633868
01040
121134
2263934
03084294970718
17353234
220733094
368553088
01364
126664
2328764
03994294971631
19324163
233943891
04746091
111185765
238885675
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 865 to 665 computations (23.1% saved)

end64.0ms (0.6%)

Compiler

Compiled 84 to 59 computations (29.8% saved)

Profiling

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