Details

Time bar (total: 16.0s)

analyze413.0ms (2.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
Compiler

Compiled 39 to 31 computations (20.5% saved)

sample2.9s (18.2%)

Results
2.9s8256×body256valid
1.0msbody256invalid

preprocess48.0ms (0.3%)

Algorithm
egg-herbie
Rules
104×fma-neg_binary32
95×fma-def_binary32
60×sub-neg_binary32
45×cancel-sign-sub-inv_binary32
30×*-commutative_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03088
15984
29884
312484
415584
519184
623184
731984
849184
953284
1058684
1163684
1272784
1377484
1479284
1579584
033
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 cosTheta_i)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) cosTheta_i)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u2)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u1)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 cosTheta_i)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 cosTheta_i)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 cosTheta_i)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) cosTheta_i)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) cosTheta_i))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) cosTheta_i))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u2)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u2)))) (sin.f32 (*.f32 u1 (*.f32 2 (PI.f32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u2)))) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u1))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u2)))) (sin.f32 (*.f32 (PI.f32) (*.f32 u1 2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u2)))) (sin.f32 (*.f32 u1 (*.f32 2 (PI.f32)))))
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify16.0ms (0.1%)

Algorithm
egg-herbie
Rules
40×fma-neg_binary32
22×sub-neg_binary32
17×cancel-sign-sub-inv_binary32
15×fma-def_binary32
11×*-commutative_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01422
12621
23921
34921
46021
57421
69221
711921
814921
916521
1018721
1120921
1224821
1326521
1427121
1527221
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))

eval1.0ms (0%)

Compiler

Compiled 28 to 23 computations (17.9% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.6b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
14.3b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Compiler

Compiled 31 to 27 computations (12.9% saved)

localize75.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
0.3b
(*.f32 (*.f32 2 (PI.f32)) u2)
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
14.9b
(log.f32 (-.f32 1 u1))
Compiler

Compiled 53 to 39 computations (26.4% saved)

series61.0ms (0.4%)

Counts
4 → 56
Calls

15 calls:

TimeVariablePointExpression
48.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

rewrite74.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
622×log-prod_binary32
493×prod-diff_binary32
322×pow2_binary32
240×pow-unpow_binary32
227×pow1/3_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01446
128442
2343542
Stop Event
node limit
Counts
4 → 130
Calls
Call 1
Inputs
(log.f32 (-.f32 1 u1))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (*.f32 2 (PI.f32)) u2)
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (neg.f32 u1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (log.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) (log.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) (*.f32 2 (log.f32 (cbrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log.f32 (/.f32 1 (+.f32 1 (fma.f32 u1 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (-.f32 1 (pow.f32 u1 3)))) (log1p.f32 (fma.f32 u1 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1)))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (/.f32 (-.f32 1 u1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (/.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (-.f32 1 (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 -1) (log.f32 (neg.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) (log.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (neg.f32 (-.f32 1 (pow.f32 u1 3)))) (log.f32 (neg.f32 (+.f32 1 (fma.f32 u1 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (neg.f32 (-.f32 1 (*.f32 u1 u1)))) (log.f32 (neg.f32 (+.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 1 (pow.f32 (neg.f32 u1) 3))) (log.f32 (+.f32 1 (-.f32 (pow.f32 (neg.f32 u1) 2) (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (pow.f32 (neg.f32 u1) 2))) (log.f32 (-.f32 1 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) -2)) (log.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (neg.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (neg.f32 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (neg.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2) (cbrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2) (neg.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/6) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 3 (log.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/3 (*.f32 3 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 -1 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (*.f32 0 (log1p.f32 (neg.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (neg.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (/.f32 (-.f32 1 u1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (/.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (-.f32 1 (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (neg.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (*.f32 (neg.f32 u1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 (neg.f32 u1))) 1))))))
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simplify78.0ms (0.5%)

Algorithm
egg-herbie
Rules
863×fma-def_binary32
394×*-commutative_binary32
323×distribute-rgt-in_binary32
270×distribute-lft-out_binary32
266×times-frac_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01551869
14931677
217211552
357621468
Stop Event
node limit
Counts
186 → 190
Calls
Call 1
Inputs
(*.f32 -1 u1)
(+.f32 (*.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/4 (pow.f32 u1 4)) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 u1))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (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 -1 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (*.f32 -1 (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 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -8/315 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
Outputs
(*.f32 -1 u1)
(neg.f32 u1)
(+.f32 (*.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1 u1 (*.f32 -1/2 (*.f32 u1 u1)))
(fma.f32 -1/2 (*.f32 u1 u1) (neg.f32 u1))
(-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1)
(*.f32 u1 (+.f32 (*.f32 u1 -1/2) -1))
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(fma.f32 -1 u1 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1))))
(-.f32 (fma.f32 -1/2 (*.f32 u1 u1) (*.f32 -1/3 (pow.f32 u1 3))) u1)
(-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1)
(fma.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)) (neg.f32 u1))
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/4 (pow.f32 u1 4)) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))))
(fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1)))))
(-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/2 (*.f32 u1 u1) (*.f32 -1/3 (pow.f32 u1 3)))) u1)
(-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))) u1)
(fma.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)) (fma.f32 -1/4 (pow.f32 u1 4) (neg.f32 u1)))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))
(+.f32 (log.f32 -1) (log.f32 u1))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 u1))
(-.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (/.f32 1 u1))
(+.f32 (log.f32 -1) (+.f32 (log.f32 u1) (/.f32 -1 u1)))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))))
(+.f32 (log.f32 -1) (-.f32 (-.f32 (log.f32 u1) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1 u1)))
(+.f32 (log.f32 -1) (+.f32 (+.f32 (log.f32 u1) (/.f32 -1 u1)) (/.f32 -1/2 (*.f32 u1 u1))))
(+.f32 (log.f32 u1) (+.f32 (log.f32 -1) (-.f32 (/.f32 -1 u1) (/.f32 (/.f32 1/2 u1) u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (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 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))))
(+.f32 (log.f32 -1) (-.f32 (log.f32 u1) (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1/2 (*.f32 u1 u1)) (/.f32 1/3 (pow.f32 u1 3))))))
(+.f32 (+.f32 (log.f32 -1) (log.f32 u1)) (+.f32 (+.f32 (/.f32 -1 u1) (/.f32 -1/2 (*.f32 u1 u1))) (/.f32 -1/3 (pow.f32 u1 3))))
(+.f32 (+.f32 (log.f32 -1) (log.f32 u1)) (+.f32 (-.f32 (/.f32 -1 u1) (/.f32 (/.f32 1/2 u1) u1)) (/.f32 -1/3 (pow.f32 u1 3))))
(*.f32 -1 (log.f32 (/.f32 -1 u1)))
(neg.f32 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1))
(-.f32 (/.f32 -1 u1) (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (/.f32 1/2 (*.f32 u1 u1)))
(+.f32 (-.f32 (/.f32 -1 u1) (log.f32 (/.f32 -1 u1))) (/.f32 -1/2 (*.f32 u1 u1)))
(-.f32 (*.f32 -1 (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 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3))))
(-.f32 (-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))
(+.f32 (+.f32 (-.f32 (/.f32 -1 u1) (log.f32 (/.f32 -1 u1))) (/.f32 -1/2 (*.f32 u1 u1))) (/.f32 -1/3 (pow.f32 u1 3)))
(+.f32 (-.f32 (/.f32 -1 u1) (/.f32 (/.f32 1/2 u1) u1)) (-.f32 (/.f32 -1/3 (pow.f32 u1 3)) (log.f32 (/.f32 -1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(fma.f32 -1/2 (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))) (*.f32 u1 u1))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1)))) (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (/.f32 u1 (sqrt.f32 -1)) (/.f32 u1 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))))))))
(fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) u1)))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(fma.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (+.f32 -1/2 (/.f32 -1/2 (/.f32 u1 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2))))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))) (*.f32 u1 u1))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))) (pow.f32 u1 3))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
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(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -8/315 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(fma.f32 4/15 (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))) (fma.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (fma.f32 -4/3 (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))) (*.f32 -8/315 (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (*.f32 (*.f32 (pow.f32 u2 3) (*.f32 (pow.f32 (PI.f32) 3) -4/3)) (sqrt.f32 -1)) (*.f32 -8/315 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)))))) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (*.f32 (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 -1)) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 -1))))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (*.f32 (sqrt.f32 -1) (fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (*.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))) (*.f32 (sqrt.f32 -1) (fma.f32 2 (*.f32 u2 (PI.f32)) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 -1) (fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 (pow.f32 (PI.f32) 5) (*.f32 4/15 (pow.f32 u2 5)) (fma.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 (pow.f32 u2 3)) (*.f32 (pow.f32 (PI.f32) 7) (*.f32 -8/315 (pow.f32 u2 7))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (*.f32 (pow.f32 u2 3) (*.f32 (pow.f32 (PI.f32) 3) -4/3)))
(fma.f32 (pow.f32 u2 3) (*.f32 -4/3 (pow.f32 (PI.f32) 3)) (*.f32 u2 (*.f32 2 (PI.f32))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (*.f32 u2 (*.f32 2 (PI.f32)))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (*.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 (pow.f32 (PI.f32) 5) (*.f32 4/15 (pow.f32 u2 5)) (fma.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 (pow.f32 u2 3)) (*.f32 (pow.f32 (PI.f32) 7) (*.f32 -8/315 (pow.f32 u2 7))))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))

localize80.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
0.2b
(sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))
0.3b
(*.f32 (PI.f32) u2)
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
Compiler

Compiled 47 to 19 computations (59.6% saved)

series15.0ms (0.1%)

Counts
4 → 52
Calls

15 calls:

TimeVariablePointExpression
8.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
1.0ms
u1
@inf
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
1.0ms
u1
@-inf
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
1.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
1.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))

rewrite86.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
653×prod-diff_binary32
580×log-prod_binary32
331×pow-prod-down_binary32
284×pow2_binary32
269×pow-unpow_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01345
126537
2323237
Stop Event
node limit
Counts
4 → 89
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (PI.f32) u2)
(sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) u2)) 1))))))
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simplify90.0ms (0.6%)

Algorithm
egg-herbie
Rules
457×distribute-rgt-in_binary32
451×distribute-lft-in_binary32
421×*-commutative_binary32
386×times-frac_binary32
364×associate-/l*_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01602256
15141938
218411770
355001665
Stop Event
node limit
Counts
141 → 142
Calls
Call 1
Inputs
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -8/315 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 2 (*.f32 u2 (PI.f32)))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2))
(+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2)))
(+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (+.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2)) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (pow.f32 u1 2))))))
(+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (+.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2)) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (pow.f32 u1 2)))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (pow.f32 u1 3)))))))
Outputs
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (/.f32 u1 (sqrt.f32 -1))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (*.f32 u1 u1) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (/.f32 u1 (sqrt.f32 -1)))) (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (/.f32 u1 (sqrt.f32 -1))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1))))))
(+.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (/.f32 (+.f32 1/2 (*.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) u1)))))
(+.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (+.f32 (/.f32 (+.f32 1/2 (*.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) u1) 1) (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (*.f32 u1 u1) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (pow.f32 u1 3) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (fma.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))) (/.f32 (pow.f32 u1 3) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (/.f32 u1 (sqrt.f32 -1)))) (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (/.f32 u1 (sqrt.f32 -1))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1))))))
(+.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) (*.f32 -1/2 (+.f32 (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (/.f32 (+.f32 1/2 (*.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) u1)) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (/.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 1/2 (/.f32 (+.f32 1/2 (*.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)))))))
(+.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) u1) (/.f32 (sqrt.f32 -1) u1)) (+.f32 (+.f32 1/2 (*.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1/2 (*.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3) u1)))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
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(fma.f32 -1/2 (*.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2) (*.f32 -1/2 (+.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (*.f32 u1 u1))) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (pow.f32 u1 3)))))))
(fma.f32 -1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) u1) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) (*.f32 u1 u1)) (/.f32 (-.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) (log.f32 (/.f32 -1 u1))))) (pow.f32 u1 3)))) (*.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(+.f32 (neg.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 1 u1) (+.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) (*.f32 u1 u1)) (/.f32 (+.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) (log.f32 (/.f32 -1 u1))))) (pow.f32 u1 3))))))
(-.f32 (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) u1) (+.f32 1 (+.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) u1) (/.f32 (+.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) (log.f32 (/.f32 -1 u1))))) (*.f32 u1 u1)))))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))

eval189.0ms (1.2%)

Compiler

Compiled 8048 to 5688 computations (29.3% saved)

prune142.0ms (0.9%)

Pruning

37 alts after pruning (35 fresh and 2 done)

PrunedKeptTotal
New29735332
Fresh000
Picked011
Done011
Total29737334
Error
0.1b
Counts
334 → 37
Alt Table
Click to see full alt table
StatusErrorProgram
0.7b
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
15.6b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 3 (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
7.9b
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
14.3b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 3))
8.5b
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
2.8b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
0.8b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
8.7b
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
0.9b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
8.8b
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
8.3b
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
15.0b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
8.0b
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
6.1b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2)))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
12.1b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
12.2b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
2.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
13.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))
2.9b
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)) (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
15.3b
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
14.3b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
3.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3))
4.0b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 (*.f32 u1 -1/2) -1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.7b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
7.2b
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
8.0b
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
9.4b
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
15.1b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 2))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
13.2b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))
Compiler

Compiled 1313 to 1135 computations (13.6% saved)

localize77.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
0.3b
(-.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1))
0.3b
(*.f32 (*.f32 2 (PI.f32)) u2)
0.4b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Compiler

Compiled 79 to 26 computations (67.1% saved)

series77.0ms (0.5%)

Counts
2 → 32
Calls

9 calls:

TimeVariablePointExpression
68.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

rewrite91.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
745×log-prod_binary32
369×pow2_binary32
331×fma-def_binary32
258×pow1/3_binary32
258×expm1-udef_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01642
133336
2426436
Stop Event
node limit
Counts
2 → 168
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(-.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1))
Outputs
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(log1p.f32 u1)) 1 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 -1 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 -1 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 u1)))))))

simplify103.0ms (0.6%)

Algorithm
egg-herbie
Rules
690×fma-def_binary32
537×div-sub_binary32
489×associate-*r*_binary32
480×associate-*l*_binary32
224×*-commutative_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01471742
14711332
215911176
373611176
Stop Event
node limit
Counts
200 → 218
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))))))
(*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)))) (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2)) (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) 1/3)) (pow.f32 u1 3)))))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2)))))))
(+.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))) (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))))
(+.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))) (+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))) (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2)))))))))
(+.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))) (+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))) (+.f32 (*.f32 -8/315 (*.f32 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))) (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))
(*.f32 -1 u1)
(+.f32 (*.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/4 (pow.f32 u1 4)) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (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 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)))))
(-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -1 (log.f32 (/.f32 -1 u1))))
(-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1)))
(-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))))
Outputs
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))) (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2))))))))
(fma.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))) (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1))))) (*.f32 1/2 (/.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) u1))))
(fma.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (*.f32 1/2 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))))))
(fma.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))) (*.f32 1/2 (+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))))) (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (*.f32 u1 u1) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))))) 2))))))))
(fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1))))) (+.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) u1) (*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) u1) (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))))) 2)) u1)))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1))))))
(fma.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (*.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (*.f32 (+.f32 (/.f32 (+.f32 1/2 (*.f32 -1/4 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) u1) 1) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))))))
(fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (pow.f32 u1 3) (+.f32 1/3 (*.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))))) 2)) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2))))))))) (fma.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))) (*.f32 1/2 (+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))))) (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (*.f32 u1 u1) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))))) 2)))))))))
(fma.f32 1/2 (/.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))))) (/.f32 (pow.f32 u1 3) (+.f32 1/3 (/.f32 (*.f32 -1/2 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))))) 2))) (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1))))))) (fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1))))) (+.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) u1) (*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) u1) (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))))) 2)) u1)))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))))))
(fma.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (+.f32 (*.f32 1/2 (*.f32 (+.f32 (/.f32 (+.f32 1/2 (*.f32 -1/4 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) u1) 1) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (*.f32 1/2 (*.f32 (fma.f32 (/.f32 (+.f32 1/2 (*.f32 -1/4 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) -1/2 1/3) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 3)))))))
(*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (*.f32 (log.f32 (/.f32 -1 u1)) 1)))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(fma.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (*.f32 (log.f32 (/.f32 -1 u1)) 1)))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (*.f32 (log.f32 (/.f32 -1 u1)) 1))))
(fma.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) u1) (*.f32 1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))
(fma.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) u1))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)))) (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))
(fma.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (*.f32 (log.f32 (/.f32 -1 u1)) 1)))) (fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (*.f32 (log.f32 (/.f32 -1 u1)) 1))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (*.f32 u1 u1) (-.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (*.f32 (log.f32 (/.f32 -1 u1)) 1))) -1/2) 2))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (*.f32 (log.f32 (/.f32 -1 u1)) 1)))))
(+.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) u1) (*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) u1) (/.f32 (-.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) u1)))))
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(-.f32 (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)) (+.f32 (+.f32 (fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3))))
(+.f32 (log.f32 -1) (-.f32 (-.f32 (-.f32 (log.f32 u1) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3))))
(+.f32 (log.f32 -1) (-.f32 (-.f32 (log.f32 u1) (/.f32 1/2 (*.f32 u1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/3 (pow.f32 u1 3)))))
(-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -1 (log.f32 (/.f32 -1 u1))))
(neg.f32 (log.f32 (/.f32 -1 u1)))
(-.f32 (log.f32 u1) (log.f32 -1))
(-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1)))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1))
(-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))))
(+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (/.f32 -1/2 (*.f32 u1 u1)))
(-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))))
(-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1/3 (pow.f32 u1 3)) (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))))))
(-.f32 (-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))) (/.f32 1/3 (pow.f32 u1 3)))
(+.f32 (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (/.f32 -1/2 (*.f32 u1 u1))) (/.f32 -1/3 (pow.f32 u1 3)))

localize76.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(log1p.f32 (neg.f32 u1))
0.1b
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
0.3b
(*.f32 (PI.f32) (*.f32 2 u2))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2)))
Compiler

Compiled 40 to 18 computations (55% saved)

series55.0ms (0.3%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
46.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2)))
2.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2)))
2.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2)))
1.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2)))
1.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2)))

rewrite118.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
970×pow1_binary32
893×add-log-exp_binary32
892×expm1-log1p-u_binary32
891×log1p-expm1-u_binary32
120×associate-*r*_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01232
124426
2299126
Stop Event
node limit
Counts
3 → 61
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (PI.f32) (*.f32 2 u2))
(log1p.f32 (neg.f32 u1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (*.f32 2 u2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 2 u2) 3) (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 u1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 u1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (neg.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/4) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 -1 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 3)) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 0 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 u1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 u1 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 u1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 u1)))))))

simplify68.0ms (0.4%)

Algorithm
egg-herbie
Rules
635×associate-*l*_binary32
566×associate-*r*_binary32
559×fma-def_binary32
506×times-frac_binary32
408×associate-/l*_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01191404
13671218
214561136
Stop Event
node limit
Counts
105 → 104
Calls
Call 1
Inputs
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (PI.f32))) (pow.f32 u1 2))))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (PI.f32))) (pow.f32 u1 3)))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (PI.f32))) (pow.f32 u1 2)))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 -1 u1)
(+.f32 (*.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/4 (pow.f32 u1 4)) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 u1))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (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 -1 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (*.f32 -1 (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))))
Outputs
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) 2))
(*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (*.f32 2 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(-.f32 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) 2)) (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))
(-.f32 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (*.f32 2 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (*.f32 (*.f32 u2 (PI.f32)) (/.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (*.f32 (*.f32 u2 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) -1/2) 2))) (PI.f32))))) (fma.f32 -1 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) 2)) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (neg.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (*.f32 (PI.f32) (*.f32 u2 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2)))) u1))) (neg.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (*.f32 u2 (PI.f32))))))))
(-.f32 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (*.f32 2 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (/.f32 (PI.f32) (/.f32 u1 (fma.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/4 1/2)))) (*.f32 (*.f32 u2 (PI.f32)) (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (*.f32 u2 (*.f32 (PI.f32) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) -1/2) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))))) (fma.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (*.f32 (*.f32 u2 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) -1/2) 2))) (PI.f32))))) (fma.f32 -1 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) 2)) (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (neg.f32 (*.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (*.f32 (PI.f32) (*.f32 u2 (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))))) (neg.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (*.f32 (PI.f32) (*.f32 u2 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2)))) u1))))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (*.f32 2 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (-.f32 (*.f32 (neg.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 (*.f32 u2 (PI.f32)) (fma.f32 1/2 (/.f32 (fma.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/4 1/2) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))) (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (/.f32 (PI.f32) (/.f32 u1 (fma.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/4 1/2))))) (*.f32 (/.f32 (sqrt.f32 -1) u1) (*.f32 u2 (neg.f32 (PI.f32)))))))
(*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))))
(*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) u2) (PI.f32))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 (*.f32 -1 (PI.f32)) u2) 2))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 u2 (PI.f32)) -2))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))))
(fma.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) u2) (PI.f32))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u2 (/.f32 u1 (PI.f32))))))
(-.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 (*.f32 -1 (PI.f32)) u2) 2)) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 (/.f32 u2 u1) (PI.f32))))
(-.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 u2 (PI.f32)) -2)) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u2 (/.f32 u1 (PI.f32)))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (PI.f32))) (pow.f32 u1 2))))))
(fma.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) u2) (PI.f32))) (*.f32 -1 (+.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u2 (/.f32 u1 (PI.f32)))) (/.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2))))) (*.f32 u1 u1)))))
(fma.f32 2 (*.f32 -1 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))) (*.f32 (neg.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (*.f32 (/.f32 u2 u1) (PI.f32)) (*.f32 (/.f32 u2 (*.f32 u1 u1)) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)))))))
(-.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 u2 (PI.f32)) -2)) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 (/.f32 u2 u1) (+.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 u1 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2))))))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (PI.f32))) (pow.f32 u1 3)))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (PI.f32))) (pow.f32 u1 2)))))))
(fma.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) u2) (PI.f32))) (fma.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u2 (/.f32 u1 (PI.f32)))) (fma.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u2 (/.f32 (pow.f32 u1 3) (*.f32 (PI.f32) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (*.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 (sqrt.f32 -1) 2))))))))) (neg.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2))))) (*.f32 u1 u1))))))
(fma.f32 2 (*.f32 -1 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))) (-.f32 (*.f32 (neg.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (*.f32 (/.f32 u2 (pow.f32 u1 3)) (*.f32 (PI.f32) (-.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (log.f32 (/.f32 -1 u1))))))) (*.f32 (/.f32 u2 (*.f32 u1 u1)) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)))))) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 (/.f32 u2 u1) (PI.f32)))))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 u2 (PI.f32)) -2) (*.f32 (neg.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (*.f32 (*.f32 (PI.f32) (-.f32 1/3 (/.f32 (fma.f32 -1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2) -1/4) (neg.f32 (log.f32 (/.f32 -1 u1)))))) (/.f32 u2 (pow.f32 u1 3))) (*.f32 (/.f32 u2 u1) (+.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 u1 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)))))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 2 (sqrt.f32 -1)) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (*.f32 (sqrt.f32 -1) (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 2 (sqrt.f32 -1)) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (*.f32 (sqrt.f32 -1) (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 2 (sqrt.f32 -1)) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (*.f32 (sqrt.f32 -1) (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 2 (sqrt.f32 -1)) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (*.f32 (sqrt.f32 -1) (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 2 (sqrt.f32 -1)) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (*.f32 (sqrt.f32 -1) (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 2 (sqrt.f32 -1)) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (*.f32 (sqrt.f32 -1) (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 2 (sqrt.f32 -1)) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (*.f32 (sqrt.f32 -1) (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 2 (sqrt.f32 -1)) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (*.f32 (sqrt.f32 -1) (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 2 (sqrt.f32 -1)) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (*.f32 (sqrt.f32 -1) (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 2 (sqrt.f32 -1)) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (*.f32 (sqrt.f32 -1) (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 2 (sqrt.f32 -1)) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (*.f32 (sqrt.f32 -1) (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 2 (sqrt.f32 -1)) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (*.f32 (sqrt.f32 -1) (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 -1 u1)
(neg.f32 u1)
(+.f32 (*.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1 u1 (*.f32 -1/2 (*.f32 u1 u1)))
(-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1)
(-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(fma.f32 -1 u1 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1))))
(-.f32 (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 u1 (*.f32 u1 -1/2))) u1)
(-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1)
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/4 (pow.f32 u1 4)) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))))
(fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1)))))
(-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 u1 (*.f32 u1 -1/2)))) u1)
(-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))) u1)
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))
(+.f32 (log.f32 -1) (log.f32 u1))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 u1))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (/.f32 1 u1)))
(+.f32 (log.f32 -1) (+.f32 (log.f32 u1) (/.f32 -1 u1)))
(+.f32 (log.f32 u1) (+.f32 (log.f32 -1) (/.f32 -1 u1)))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))))
(+.f32 (log.f32 -1) (-.f32 (log.f32 u1) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))))
(+.f32 (log.f32 u1) (+.f32 (+.f32 (log.f32 -1) (/.f32 -1/2 (*.f32 u1 u1))) (/.f32 -1 u1)))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (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 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3))))
(+.f32 (log.f32 -1) (-.f32 (-.f32 (log.f32 u1) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))) (/.f32 1/3 (pow.f32 u1 3))))
(+.f32 (log.f32 -1) (+.f32 (+.f32 (+.f32 (log.f32 u1) (/.f32 -1/2 (*.f32 u1 u1))) (/.f32 -1 u1)) (/.f32 -1/3 (pow.f32 u1 3))))
(*.f32 -1 (log.f32 (/.f32 -1 u1)))
(neg.f32 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1))
(-.f32 (/.f32 -1 u1) (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (/.f32 1/2 (*.f32 u1 u1)))
(+.f32 (-.f32 (/.f32 -1 u1) (log.f32 (/.f32 -1 u1))) (/.f32 -1/2 (*.f32 u1 u1)))
(-.f32 (*.f32 -1 (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 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3))))
(-.f32 (-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))
(+.f32 (+.f32 (-.f32 (/.f32 -1 u1) (log.f32 (/.f32 -1 u1))) (/.f32 -1/2 (*.f32 u1 u1))) (/.f32 -1/3 (pow.f32 u1 3)))

localize73.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))
0.3b
(*.f32 (PI.f32) u2)
0.4b
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
1.1b
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
Compiler

Compiled 51 to 26 computations (49% saved)

series10.0ms (0.1%)

Counts
2 → 28
Calls

9 calls:

TimeVariablePointExpression
1.0ms
u1
@-inf
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
1.0ms
u1
@inf
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
1.0ms
u1
@inf
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
1.0ms
u1
@-inf
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
1.0ms
u2
@0
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))

rewrite76.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
662×log-prod_binary32
584×prod-diff_binary32
338×pow2_binary32
261×pow-unpow_binary32
238×pow1/3_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01424
127622
2317122
Stop Event
node limit
Counts
2 → 84
Calls
Call 1
Inputs
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 1) (log.f32 (cbrt.f32 (log1p.f32 u1)))) (pow.f32 (exp.f32 1) (log.f32 (pow.f32 (log1p.f32 u1) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 1/2) (log.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (pow.f32 (exp.f32 1/2) (log.f32 (cbrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 1) (log.f32 (pow.f32 (log1p.f32 u1) 1/4))) (pow.f32 (exp.f32 1) (log.f32 (pow.f32 (log1p.f32 u1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (exp.f32 1/2) (exp.f32 (log1p.f32 (log.f32 (log1p.f32 u1))))) (exp.f32 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (exp.f32 1) (exp.f32 (log1p.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))))) (pow.f32 (exp.f32 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 u1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1/2) (log.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) 2)) (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) 2)) (*.f32 (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (log.f32 (log1p.f32 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))) (sqrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 2))) (*.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 1) 1) (log.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 1) (cbrt.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 2))) (*.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 1) (sqrt.f32 (log.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (log.f32 (log1p.f32 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 1/2) (cbrt.f32 (log.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 1/2) (cbrt.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 1/2) (sqrt.f32 (log.f32 (log1p.f32 u1)))) (sqrt.f32 (log.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) 2)) 1) (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) 2)) (cbrt.f32 1/2)) (cbrt.f32 (log.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) 2)) (cbrt.f32 (log.f32 (log1p.f32 u1)))) (cbrt.f32 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) 2))) (cbrt.f32 (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) 2)) (cbrt.f32 (sqrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))))) (cbrt.f32 (sqrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))) 2)) (cbrt.f32 (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 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simplify107.0ms (0.7%)

Algorithm
egg-herbie
Rules
731×fma-def_binary32
711×associate-*l*_binary32
695×associate-*r*_binary32
503×times-frac_binary32
430×associate-/r*_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01431776
14501613
215341426
378331426
Stop Event
node limit
Counts
112 → 126
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 1/2 (*.f32 (/.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (pow.f32 u1 2)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (pow.f32 u1 2)))) (+.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (pow.f32 u1 3)))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1))))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))
(+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))))
(+.f32 (*.f32 -8/315 (*.f32 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
Outputs
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 (/.f32 1/2 u1) (sqrt.f32 -1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1)))) (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)) (/.f32 (+.f32 -1/4 (*.f32 -1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2))) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (+.f32 (/.f32 (fma.f32 -1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (sqrt.f32 -1))) 2) -1/4) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (/.f32 (/.f32 1/2 u1) (sqrt.f32 -1)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 1/2 (*.f32 (/.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1)))) (*.f32 1/2 (+.f32 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (*.f32 (neg.f32 (log.f32 u1)) (pow.f32 (sqrt.f32 -1) 2))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (/.f32 (-.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (neg.f32 (log.f32 u1))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))))) (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (+.f32 -1/4 (*.f32 -1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2))) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (+.f32 (/.f32 (fma.f32 -1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (sqrt.f32 -1))) 2) -1/4) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (fma.f32 1/2 (/.f32 (-.f32 1/3 (/.f32 (fma.f32 -1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (sqrt.f32 -1))) 2) -1/4) (log.f32 u1))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (/.f32 (/.f32 1/2 u1) (sqrt.f32 -1))))))
(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))
(sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(fma.f32 1/2 (*.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))
(fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) u1) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (pow.f32 u1 2)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(fma.f32 1/2 (*.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2)) (*.f32 u1 u1))) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))))
(fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) u1) (fma.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2))) (*.f32 u1 u1)) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))))
(+.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 1/2 u1) (*.f32 -1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/2) (*.f32 u1 u1))))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (pow.f32 u1 2)))) (+.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (pow.f32 u1 3)))))))
(fma.f32 1/2 (*.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (+.f32 (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2)) (*.f32 u1 u1))) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2)) (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (pow.f32 u1 3))))))
(fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) u1) (fma.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2))) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 (pow.f32 u1 3) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2)) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/3))) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))))
(+.f32 (fma.f32 1/2 (*.f32 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (pow.f32 u1 3)) (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/3)) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 1/2 u1) (*.f32 -1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/2) (*.f32 u1 u1))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 u1)))))
(*.f32 (sqrt.f32 -1) (*.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 1/2 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (*.f32 1/2 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (*.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (sqrt.f32 -1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (*.f32 u1 u1)))) (fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 1/2 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (*.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (*.f32 u1 u1))) (fma.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (*.f32 1/2 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (*.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (fma.f32 -1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (sqrt.f32 -1))) 2) -1/4)) (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (/.f32 1/2 (sqrt.f32 -1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1))))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (*.f32 u1 u1)))) (fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 1/2 (+.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (/.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (*.f32 (neg.f32 (log.f32 u1)) (pow.f32 (sqrt.f32 -1) 2))))) (pow.f32 u1 3)))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) (*.f32 (sqrt.f32 -1) u1))))))
(fma.f32 -1/2 (*.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (*.f32 u1 u1))) (fma.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (/.f32 (-.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (neg.f32 (log.f32 u1))))) (pow.f32 u1 3))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)))))))
(fma.f32 (sqrt.f32 -1) (*.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (fma.f32 -1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (sqrt.f32 -1))) 2) -1/4)) (*.f32 1/2 (fma.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (-.f32 1/3 (/.f32 (fma.f32 -1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (sqrt.f32 -1))) 2) -1/4) (log.f32 u1))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(*.f32 (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1)) (*.f32 (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1)) (*.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))
(fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1)) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (*.f32 u1 u1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2))))) (*.f32 (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))
(+.f32 (*.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 (*.f32 1/2 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 u1 u1)) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2)))))))
(fma.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (fma.f32 1/2 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (*.f32 -1/2 (*.f32 (fma.f32 1/4 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/2) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 u1 u1))))) (*.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))))
(fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (pow.f32 u1 3) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2)) (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))))))) (fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1)) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (*.f32 u1 u1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2))))) (*.f32 (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))))
(fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2)) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/3))) (+.f32 (*.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 (*.f32 1/2 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 u1 u1)) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2))))))))
(+.f32 (*.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (+.f32 (*.f32 1/2 (+.f32 (*.f32 (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/3) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 3))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (*.f32 -1/2 (*.f32 (fma.f32 1/4 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/2) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 u1 u1)))))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 2 (*.f32 (PI.f32) (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))
(fma.f32 -4/3 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 2 (*.f32 u2 (PI.f32)) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))))
(fma.f32 -4/3 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (fma.f32 4/15 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))))
(fma.f32 -4/3 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(+.f32 (*.f32 -8/315 (*.f32 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))))
(fma.f32 -8/315 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (fma.f32 -4/3 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (fma.f32 4/15 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1))))))))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (fma.f32 2 (*.f32 u2 (PI.f32)) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))) (fma.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))

localize66.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.3b
(*.f32 (PI.f32) u2)
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
1.4b
(exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
Compiler

Compiled 64 to 30 computations (53.1% saved)

series35.0ms (0.2%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
16.0ms
u2
@-inf
(log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
14.0ms
u2
@inf
(log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
1.0ms
u2
@0
(log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))

rewrite80.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
653×prod-diff_binary32
618×log-prod_binary32
304×pow2_binary32
282×pow-unpow_binary32
216×expm1-udef_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01543
128939
2341039
Stop Event
node limit
Counts
3 → 100
Calls
Call 1
Inputs
(exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
Outputs
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1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 1) (log1p.f32 1)) (pow.f32 (exp.f32 1) (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 1) (*.f32 2 (log.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))) (pow.f32 (exp.f32 1) (log.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 1) (log.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (pow.f32 (exp.f32 1) (log.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (exp.f32 1) (exp.f32 (log1p.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))) (pow.f32 (exp.f32 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (*.f32 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((x pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (cbrt.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (cbrt.f32 (sqrt.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (sqrt.f32 (cbrt.f32 (pow.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2)))) (sqrt.f32 (cbrt.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (sqrt.f32 (sqrt.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))) (sqrt.f32 (sqrt.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 1) (cbrt.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (cbrt.f32 (pow.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 1) (cbrt.f32 (pow.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))) (cbrt.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 1) (sqrt.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (sqrt.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 1) (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (log.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (log.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (log.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))) (log1p.f32 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (*.f32 2 (log.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 2 (sin.f32 (*.f32 (PI.f32) u2)))) (log.f32 (cos.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (log.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (cbrt.f32 (pow.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2)) (cbrt.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (sqrt.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 3 (log.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/3 (log.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (log1p.f32 1) (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 1)) 2) (cbrt.f32 (log1p.f32 1)) (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (log1p.f32 1)) (sqrt.f32 (log1p.f32 1)) (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))))))

simplify91.0ms (0.6%)

Algorithm
egg-herbie
Rules
935×fma-def_binary32
461×*-commutative_binary32
430×distribute-rgt-in_binary32
423×distribute-lft-in_binary32
360×unswap-sqr_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01691791
15111613
218021493
359271409
Stop Event
node limit
Counts
144 → 145
Calls
Call 1
Inputs
(*.f32 2 (*.f32 u2 (PI.f32)))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -8/315 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32))))
(+.f32 (*.f32 -2/3 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(+.f32 (*.f32 1/24 (*.f32 (+.f32 (*.f32 16/5 (pow.f32 (PI.f32) 4)) (*.f32 -16/3 (pow.f32 (PI.f32) 4))) (pow.f32 u2 4))) (+.f32 (*.f32 -2/3 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32))))))
(+.f32 (*.f32 1/24 (*.f32 (+.f32 (*.f32 16/5 (pow.f32 (PI.f32) 4)) (*.f32 -16/3 (pow.f32 (PI.f32) 4))) (pow.f32 u2 4))) (+.f32 (*.f32 -2/3 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (*.f32 1/720 (*.f32 (+.f32 (*.f32 -64/7 (pow.f32 (PI.f32) 6)) (+.f32 (*.f32 64 (pow.f32 (PI.f32) 6)) (*.f32 -640/9 (pow.f32 (PI.f32) 6)))) (pow.f32 u2 6))) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))))
(log.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(log.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(log.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(log.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(log.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(log.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(log.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(log.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
Outputs
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (*.f32 (pow.f32 u2 3) (*.f32 (pow.f32 (PI.f32) 3) -4/3)))
(fma.f32 2 (*.f32 u2 (PI.f32)) (*.f32 (pow.f32 u2 3) (*.f32 -4/3 (pow.f32 (PI.f32) 3))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (*.f32 (pow.f32 u2 3) (*.f32 (pow.f32 (PI.f32) 3) -4/3))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 (pow.f32 u2 3) (*.f32 -4/3 (pow.f32 (PI.f32) 3)) (*.f32 (pow.f32 (PI.f32) 5) (*.f32 4/15 (pow.f32 u2 5)))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (*.f32 (pow.f32 u2 7) (*.f32 (pow.f32 (PI.f32) 7) -8/315)))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (fma.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 (pow.f32 u2 3)) (*.f32 (pow.f32 u2 7) (*.f32 -8/315 (pow.f32 (PI.f32) 7))))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (/.f32 u1 (sqrt.f32 -1))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (*.f32 u1 u1) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (/.f32 u1 (sqrt.f32 -1)))) (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (/.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 -1)) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)))))))
(fma.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) u1)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))
(fma.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (+.f32 (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) u1) 1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (*.f32 u1 u1) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (pow.f32 u1 3) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))
(+.f32 (fma.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 -1)) (/.f32 (pow.f32 u1 3) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (/.f32 u1 (sqrt.f32 -1)))) (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (/.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 -1)) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)))))))
(+.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (+.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) u1)))) (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) -1/2) (/.f32 (pow.f32 u1 3) (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))) (sqrt.f32 -1)))))
(+.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (/.f32 (*.f32 u1 u1) (sqrt.f32 -1))) (+.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) (/.f32 (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3) u1))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) -1) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) u1) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2)))
(fma.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (neg.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) u1))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) u1))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
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(fma.f32 1/24 (*.f32 (*.f32 (pow.f32 (PI.f32) 4) -32/15) (pow.f32 u2 4)) (fma.f32 -2/3 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32))))))
(fma.f32 1/24 (*.f32 (pow.f32 (PI.f32) 4) (*.f32 -32/15 (pow.f32 u2 4))) (+.f32 (log.f32 (*.f32 2 (PI.f32))) (fma.f32 -2/3 (*.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))) (log.f32 u2))))
(+.f32 (log.f32 (*.f32 2 (PI.f32))) (fma.f32 (*.f32 (pow.f32 (PI.f32) 4) -32/15) (*.f32 1/24 (pow.f32 u2 4)) (fma.f32 (*.f32 u2 u2) (*.f32 -2/3 (pow.f32 (PI.f32) 2)) (log.f32 u2))))
(+.f32 (*.f32 1/24 (*.f32 (+.f32 (*.f32 16/5 (pow.f32 (PI.f32) 4)) (*.f32 -16/3 (pow.f32 (PI.f32) 4))) (pow.f32 u2 4))) (+.f32 (*.f32 -2/3 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (*.f32 1/720 (*.f32 (+.f32 (*.f32 -64/7 (pow.f32 (PI.f32) 6)) (+.f32 (*.f32 64 (pow.f32 (PI.f32) 6)) (*.f32 -640/9 (pow.f32 (PI.f32) 6)))) (pow.f32 u2 6))) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))))
(fma.f32 1/24 (*.f32 (*.f32 (pow.f32 (PI.f32) 4) -32/15) (pow.f32 u2 4)) (fma.f32 -2/3 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 1/720 (*.f32 (fma.f32 -64/7 (pow.f32 (PI.f32) 6) (*.f32 (pow.f32 (PI.f32) 6) -64/9)) (pow.f32 u2 6)) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))))
(fma.f32 1/24 (*.f32 (pow.f32 (PI.f32) 4) (*.f32 -32/15 (pow.f32 u2 4))) (fma.f32 -2/3 (*.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))) (+.f32 (log.f32 (*.f32 2 (PI.f32))) (fma.f32 1/720 (*.f32 (*.f32 (pow.f32 (PI.f32) 6) -1024/63) (pow.f32 u2 6)) (log.f32 u2)))))
(+.f32 (fma.f32 1/720 (*.f32 (*.f32 (pow.f32 (PI.f32) 6) -1024/63) (pow.f32 u2 6)) (log.f32 (*.f32 2 (PI.f32)))) (fma.f32 (*.f32 (pow.f32 (PI.f32) 4) -32/15) (*.f32 1/24 (pow.f32 u2 4)) (fma.f32 (*.f32 u2 u2) (*.f32 -2/3 (pow.f32 (PI.f32) 2)) (log.f32 u2))))
(log.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(log.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(log.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(log.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(log.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(log.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(log.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(log.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))

localize235.0ms (1.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))
0.3b
(*.f32 (PI.f32) u2)
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
0.7b
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)
Compiler

Compiled 67 to 33 computations (50.7% saved)

series19.0ms (0.1%)

Counts
2 → 28
Calls

9 calls:

TimeVariablePointExpression
5.0ms
u2
@inf
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)
4.0ms
u2
@-inf
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)
3.0ms
u2
@0
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)
1.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
1.0ms
u2
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))

rewrite106.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
653×prod-diff_binary32
649×log-prod_binary32
322×pow2_binary32
305×pow-unpow_binary32
229×expm1-udef_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01631
133327
2372327
Stop Event
node limit
Counts
2 → 49
Calls
Call 1
Inputs
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) (cos.f32 1)) (*.f32 (cos.f32 (exp.f32 (log1p.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) (sin.f32 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1/6) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1/6) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (sqrt.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) 1) (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 2)) (cbrt.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) (pow.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1/6)) (pow.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3) (pow.f32 (log1p.f32 u1) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3) (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))) 1))))))

simplify166.0ms (1%)

Algorithm
egg-herbie
Rules
578×associate-/l/_binary32
556×fma-def_binary32
344×*-commutative_binary32
307×div-sub_binary32
304×times-frac_binary32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01221454
13791260
213201148
345021068
477361066
Stop Event
node limit
Counts
77 → 76
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -8/315 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
Outputs
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 1)
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 1)
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 1)
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 1)
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 1)
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 1)
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 1)
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 1)
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (*.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) u1) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(fma.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 -1/2 (*.f32 (*.f32 (sqrt.f32 -1) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (*.f32 u1 u1))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) u1) (sqrt.f32 -1))) (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (/.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 -1)) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)))))))
(fma.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (*.f32 (sqrt.f32 -1) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1)) (*.f32 (*.f32 (sqrt.f32 -1) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1)) (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) u1)))))
(fma.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (+.f32 (/.f32 -1/2 (/.f32 u1 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2))) -1/2)) (*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (*.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (pow.f32 u1 3)) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (fma.f32 -1/2 (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 -1)) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)) (/.f32 (pow.f32 u1 3) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) u1) (sqrt.f32 -1))) (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (/.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 -1)) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)))))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (+.f32 (*.f32 (sqrt.f32 -1) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1)) (*.f32 (*.f32 (sqrt.f32 -1) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1)) (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) u1)))) (*.f32 -1/2 (*.f32 (*.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 3)))))))
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(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
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(*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))

eval614.0ms (3.8%)

Compiler

Compiled 23512 to 14208 computations (39.6% saved)

prune299.0ms (1.9%)

Pruning

61 alts after pruning (55 fresh and 6 done)

PrunedKeptTotal
New85640896
Fresh151530
Picked011
Done156
Total87261933
Error
0.1b
Counts
933 → 61
Alt Table
Click to see full alt table
StatusErrorProgram
0.7b
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
15.6b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 3 (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
7.9b
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
7.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
2.9b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
14.3b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 3))
11.1b
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (*.f32 (PI.f32) (*.f32 2 u2)))
1.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))))) 3))
9.4b
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
8.6b
(*.f32 (pow.f32 (pow.f32 (exp.f32 1/2) (cbrt.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log.f32 (log1p.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
2.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))
2.8b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
8.5b
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
10.7b
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
8.6b
(*.f32 (pow.f32 (exp.f32 1/2) (log.f32 (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
6.1b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cbrt.f32 (*.f32 (pow.f32 (*.f32 2 u2) 3) (pow.f32 (PI.f32) 3))))
4.0b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
3.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3))
0.8b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
3.0b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3) 1/3))
13.2b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))
0.9b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
11.1b
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
8.3b
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
15.0b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
11.1b
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 2)
13.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))
6.1b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2)))
8.3b
(*.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 2))) (*.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) 1/2)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
2.0b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 2))
8.3b
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
11.1b
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 3)
0.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
3.1b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (pow.f32 (exp.f32 1) (*.f32 2 (log.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))) (pow.f32 (exp.f32 1) (log.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))
6.2b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2))
2.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1/6) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1/6) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2))))
14.3b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
16.4b
(+.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))) (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))))
15.3b
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
6.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3))
8.3b
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
0.6b
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
8.8b
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 2)
6.1b
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
8.7b
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2))
11.1b
(*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
0.7b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
12.1b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
1.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
7.2b
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
7.8b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
11.1b
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (*.f32 (PI.f32) (*.f32 2 u2)))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
15.1b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 2))
8.5b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
4.0b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 (*.f32 u1 -1/2) -1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
20.8b
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
Compiler

Compiled 2224 to 1902 computations (14.5% saved)

localize80.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
0.3b
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
0.3b
(*.f32 u2 (PI.f32))
0.4b
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
Compiler

Compiled 67 to 21 computations (68.7% saved)

series24.0ms (0.1%)

Counts
4 → 36
Calls

15 calls:

TimeVariablePointExpression
14.0ms
u2
@inf
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
3.0ms
u1
@inf
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
2.0ms
u2
@0
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
1.0ms
u1
@-inf
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
1.0ms
u2
@-inf
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))

rewrite160.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
726×log-prod_binary32
371×pow2_binary32
297×pow-unpow_binary32
290×fma-def_binary32
260×expm1-udef_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01555
131551
2402751
Stop Event
node limit
Counts
4 → 170
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(*.f32 u2 (PI.f32))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) (cos.f32 1)) (*.f32 (cos.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) (sin.f32 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (sin.f32 (*.f32 u2 (PI.f32)))) (cos.f32 (*.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 1))))))

simplify78.0ms (0.5%)

Algorithm
egg-herbie
Rules
812×fma-def_binary32
581×associate-*l*_binary32
486×associate-*r*_binary32
323×div-sub_binary32
233×*-commutative_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01521850
14751530
215351285
365011279
Stop Event
node limit
Counts
206 → 227
Calls
Call 1
Inputs
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2))))))))
(+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2))))))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (*.f32 -8/315 (*.f32 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))))))
(*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)))) (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2)) (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) 1/3)) (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 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))
(-.f32 (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1)) (*.f32 -2 (log.f32 (/.f32 -1 u1))))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))
(-.f32 (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
Outputs
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2))))))))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))))))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) 2))
(*.f32 u2 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (*.f32 2 (PI.f32))))
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u1
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(log.f32 (/.f32 -1 u1))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1)) (*.f32 -2 (log.f32 (/.f32 -1 u1))))
(+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 1 u1)) (*.f32 2 (log.f32 (/.f32 -1 u1))))
(+.f32 (/.f32 1 u1) (log.f32 (/.f32 -1 u1)))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))
(+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))) (*.f32 2 (log.f32 (/.f32 -1 u1))))
(+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (log.f32 (/.f32 -1 u1)))
(+.f32 (/.f32 1 u1) (+.f32 (/.f32 1/2 (*.f32 u1 u1)) (log.f32 (/.f32 -1 u1))))
(-.f32 (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))
(+.f32 (/.f32 1/3 (pow.f32 u1 3)) (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))) (*.f32 2 (log.f32 (/.f32 -1 u1)))))
(+.f32 (/.f32 1/3 (pow.f32 u1 3)) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (log.f32 (/.f32 -1 u1))))
(+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (+.f32 (log.f32 (/.f32 -1 u1)) (/.f32 1/3 (pow.f32 u1 3))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 (PI.f32) 2))
(*.f32 (PI.f32) (*.f32 2 u2))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 (*.f32 -4/3 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3) (*.f32 u2 (*.f32 (PI.f32) 2)))
(fma.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 (pow.f32 u2 3)) (*.f32 (PI.f32) (*.f32 2 u2)))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 (pow.f32 u2 3)) (fma.f32 2 (*.f32 u2 (PI.f32)) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (*.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (*.f32 (pow.f32 (PI.f32) 7) (*.f32 -8/315 (pow.f32 u2 7))))))

localize96.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(*.f32 (PI.f32) (*.f32 2 u2))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
Compiler

Compiled 34 to 17 computations (50% saved)

series8.0ms (0%)

Counts
1 → 12
Calls

6 calls:

TimeVariablePointExpression
3.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
2.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
1.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
1.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
1.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 (PI.f32) (*.f32 2 u2)))

rewrite55.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
878×pow1_binary32
809×add-log-exp_binary32
808×log1p-expm1-u_binary32
808×expm1-log1p-u_binary32
791×add-exp-log_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
122913
2254013
Stop Event
node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 u1 3/2) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3) (pow.f32 u1 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))))))))

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Rules
27×associate-*l*_binary32
17×associate-*r*_binary32
16×*-commutative_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09156
116156
237156
377156
483156
Stop Event
saturated
Counts
25 → 15
Calls
Call 1
Inputs
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
Outputs
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 u1))
(*.f32 2 (*.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 u1))
(*.f32 2 (*.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 u1))
(*.f32 2 (*.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 u1))
(*.f32 2 (*.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 u1))
(*.f32 2 (*.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 u1))
(*.f32 2 (*.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 u1))
(*.f32 2 (*.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 u1))
(*.f32 2 (*.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 u1))
(*.f32 2 (*.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 u1))
(*.f32 2 (*.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 u1))
(*.f32 2 (*.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 u1))
(*.f32 2 (*.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))

localize145.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f32 3 (log1p.f32 (neg.f32 u1)))
0.3b
(*.f32 (*.f32 2 (PI.f32)) u2)
0.4b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.5b
(*.f32 1/3 (*.f32 3 (log1p.f32 (neg.f32 u1))))
Compiler

Compiled 73 to 46 computations (37% saved)

series5.0ms (0%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.0ms
u1
@inf
(*.f32 3 (log1p.f32 (neg.f32 u1)))
0.0ms
u1
@-inf
(*.f32 3 (log1p.f32 (neg.f32 u1)))

rewrite230.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
699×log-prod_binary32
465×prod-diff_binary32
387×pow-unpow_binary32
339×pow2_binary32
243×expm1-udef_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01734
135226
2393026
Stop Event
node limit
Counts
3 → 63
Calls
Call 1
Inputs
(*.f32 1/3 (*.f32 3 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 3 (log1p.f32 (neg.f32 u1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 u1 1)) 2)) (log.f32 (cbrt.f32 (+.f32 u1 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (hypot.f32 1 (sqrt.f32 u1))) (log.f32 (hypot.f32 1 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (pow.f32 u1 3)) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 3)) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 0 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 u1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 u1 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 u1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 u1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 3 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (+.f32 u1 1) 2)) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (+.f32 u1 1) 3))) (log.f32 (sqrt.f32 (pow.f32 (+.f32 u1 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 3 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 3 (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 3 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 3 (log1p.f32 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 3 (log1p.f32 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 3 (log1p.f32 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 3 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (+.f32 u1 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 3 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (/.f32 1 (+.f32 1 (expm1.f32 (*.f32 3 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 3 (log1p.f32 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 3 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 3 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 3 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 3 (log1p.f32 u1))) 1))))))

simplify87.0ms (0.5%)

Algorithm
egg-herbie
Rules
879×fma-def_binary32
430×fma-neg_binary32
388×*-commutative_binary32
338×sub-neg_binary32
266×times-frac_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01721821
15501599
218961475
363931473
Stop Event
node limit
Counts
107 → 137
Calls
Call 1
Inputs
(*.f32 -1 u1)
(+.f32 (*.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/4 (pow.f32 u1 4)) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 u1))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (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 -1 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (*.f32 -1 (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 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -8/315 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 -3 u1)
(+.f32 (*.f32 -3/2 (pow.f32 u1 2)) (*.f32 -3 u1))
(+.f32 (*.f32 -3/2 (pow.f32 u1 2)) (+.f32 (*.f32 -1 (pow.f32 u1 3)) (*.f32 -3 u1)))
(+.f32 (*.f32 -3/2 (pow.f32 u1 2)) (+.f32 (*.f32 -3/4 (pow.f32 u1 4)) (+.f32 (*.f32 -1 (pow.f32 u1 3)) (*.f32 -3 u1))))
(*.f32 3 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))
(-.f32 (*.f32 3 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))) (*.f32 3 (/.f32 1 u1)))
(-.f32 (*.f32 3 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (*.f32 3 (/.f32 1 u1)) (*.f32 3/2 (/.f32 1 (pow.f32 u1 2)))))
(-.f32 (*.f32 3 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (*.f32 3 (/.f32 1 u1)) (+.f32 (*.f32 3/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 (pow.f32 u1 3)))))
(*.f32 -3 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -3 (log.f32 (/.f32 -1 u1))) (*.f32 3 (/.f32 1 u1)))
(-.f32 (*.f32 -3 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 3 (/.f32 1 u1)) (*.f32 3/2 (/.f32 1 (pow.f32 u1 2)))))
(-.f32 (*.f32 -3 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 3 (/.f32 1 u1)) (+.f32 (*.f32 3/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 (pow.f32 u1 3)))))
Outputs
(*.f32 -1 u1)
(neg.f32 u1)
(+.f32 (*.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1 u1 (*.f32 -1/2 (*.f32 u1 u1)))
(fma.f32 -1/2 (*.f32 u1 u1) (neg.f32 u1))
(fma.f32 u1 (*.f32 u1 -1/2) (neg.f32 u1))
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(fma.f32 -1 u1 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1))))
(-.f32 (fma.f32 -1/2 (*.f32 u1 u1) (*.f32 -1/3 (pow.f32 u1 3))) u1)
(-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1)
(fma.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)) (neg.f32 u1))
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/4 (pow.f32 u1 4)) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))))
(fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1)))))
(-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/2 (*.f32 u1 u1) (*.f32 -1/3 (pow.f32 u1 3)))) u1)
(-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))) u1)
(fma.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)) (fma.f32 -1/4 (pow.f32 u1 4) (neg.f32 u1)))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))
(+.f32 (log.f32 -1) (log.f32 u1))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 u1))
(-.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (/.f32 1 u1))
(+.f32 (log.f32 -1) (+.f32 (log.f32 u1) (/.f32 -1 u1)))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))))
(+.f32 (log.f32 -1) (-.f32 (log.f32 u1) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))))
(+.f32 (log.f32 -1) (+.f32 (-.f32 (log.f32 u1) (/.f32 (/.f32 1/2 u1) u1)) (/.f32 -1 u1)))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (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 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3))))
(-.f32 (-.f32 (+.f32 (log.f32 -1) (-.f32 (log.f32 u1) (/.f32 1/3 (pow.f32 u1 3)))) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1 u1))
(+.f32 (log.f32 -1) (+.f32 (+.f32 (-.f32 (log.f32 u1) (/.f32 (/.f32 1/2 u1) u1)) (/.f32 -1 u1)) (/.f32 -1/3 (pow.f32 u1 3))))
(*.f32 -1 (log.f32 (/.f32 -1 u1)))
(neg.f32 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1))
(-.f32 (/.f32 -1 u1) (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (/.f32 1/2 (*.f32 u1 u1)))
(+.f32 (-.f32 (/.f32 -1 u1) (log.f32 (/.f32 -1 u1))) (/.f32 -1/2 (*.f32 u1 u1)))
(-.f32 (*.f32 -1 (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 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3))))
(-.f32 (-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))
(+.f32 (+.f32 (/.f32 -1/3 (pow.f32 u1 3)) (/.f32 -1/2 (*.f32 u1 u1))) (-.f32 (/.f32 -1 u1) (log.f32 (/.f32 -1 u1))))
(+.f32 (-.f32 (/.f32 -1 u1) (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 -1/3 (pow.f32 u1 3)) (/.f32 -1/2 (*.f32 u1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(fma.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) u1) (sqrt.f32 -1)) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))) (*.f32 u1 u1))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1)))) (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 -1)) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)))))))
(fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) u1)))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))) (*.f32 u1 u1))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (pow.f32 u1 3) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))
(+.f32 (fma.f32 -1/2 (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)) (/.f32 (pow.f32 u1 3) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1)))) (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 -1)) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)))))))
(+.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (+.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) u1)))) (*.f32 (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (pow.f32 u1 3)) (*.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(*.f32 -1 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (*.f32 -1 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (*.f32 (neg.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(-.f32 (*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) u1) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (fma.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (*.f32 u1 u1) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))))))))
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(fma.f32 (pow.f32 u1 4) -3/4 (fma.f32 u1 -3 (*.f32 (*.f32 u1 u1) (-.f32 -3/2 u1))))
(*.f32 3 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))
(*.f32 3 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))
(*.f32 3 (+.f32 (log.f32 -1) (log.f32 u1)))
(-.f32 (*.f32 3 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))) (*.f32 3 (/.f32 1 u1)))
(-.f32 (*.f32 3 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (/.f32 3 u1))
(fma.f32 3 (+.f32 (log.f32 -1) (log.f32 u1)) (/.f32 -3 u1))
(-.f32 (*.f32 3 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (*.f32 3 (/.f32 1 u1)) (*.f32 3/2 (/.f32 1 (pow.f32 u1 2)))))
(fma.f32 3 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (neg.f32 (+.f32 (/.f32 3 u1) (/.f32 3/2 (*.f32 u1 u1)))))
(-.f32 (fma.f32 3 (+.f32 (log.f32 -1) (log.f32 u1)) (/.f32 -3 u1)) (/.f32 3/2 (*.f32 u1 u1)))
(+.f32 (fma.f32 3 (+.f32 (log.f32 -1) (log.f32 u1)) (/.f32 -3 u1)) (/.f32 -3/2 (*.f32 u1 u1)))
(-.f32 (*.f32 3 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (*.f32 3 (/.f32 1 u1)) (+.f32 (*.f32 3/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (*.f32 3 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (+.f32 (/.f32 3 u1) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 3/2 (*.f32 u1 u1)))))
(-.f32 (fma.f32 3 (+.f32 (log.f32 -1) (log.f32 u1)) (/.f32 -3 u1)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 3/2 (*.f32 u1 u1))))
(+.f32 (fma.f32 3 (+.f32 (log.f32 -1) (log.f32 u1)) (/.f32 -3 u1)) (+.f32 (/.f32 -3/2 (*.f32 u1 u1)) (/.f32 -1 (pow.f32 u1 3))))
(-.f32 (fma.f32 3 (+.f32 (log.f32 -1) (log.f32 u1)) (/.f32 -3/2 (*.f32 u1 u1))) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 3 u1)))
(*.f32 -3 (log.f32 (/.f32 -1 u1)))
(*.f32 (log.f32 (/.f32 -1 u1)) -3)
(-.f32 (*.f32 -3 (log.f32 (/.f32 -1 u1))) (*.f32 3 (/.f32 1 u1)))
(-.f32 (*.f32 (log.f32 (/.f32 -1 u1)) -3) (/.f32 3 u1))
(fma.f32 (log.f32 (/.f32 -1 u1)) -3 (/.f32 -3 u1))
(-.f32 (*.f32 -3 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 3 (/.f32 1 u1)) (*.f32 3/2 (/.f32 1 (pow.f32 u1 2)))))
(-.f32 (*.f32 (log.f32 (/.f32 -1 u1)) -3) (+.f32 (/.f32 3 u1) (/.f32 3/2 (*.f32 u1 u1))))
(-.f32 (fma.f32 (log.f32 (/.f32 -1 u1)) -3 (/.f32 -3 u1)) (/.f32 3/2 (*.f32 u1 u1)))
(fma.f32 (log.f32 (/.f32 -1 u1)) -3 (+.f32 (/.f32 -3 u1) (/.f32 -3/2 (*.f32 u1 u1))))
(-.f32 (*.f32 -3 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 3 (/.f32 1 u1)) (+.f32 (*.f32 3/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (*.f32 (log.f32 (/.f32 -1 u1)) -3) (+.f32 (/.f32 3 u1) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 3/2 (*.f32 u1 u1)))))
(-.f32 (fma.f32 (log.f32 (/.f32 -1 u1)) -3 (/.f32 -3 u1)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 3/2 (*.f32 u1 u1))))
(+.f32 (fma.f32 (log.f32 (/.f32 -1 u1)) -3 (/.f32 -3 u1)) (+.f32 (/.f32 -3/2 (*.f32 u1 u1)) (/.f32 -1 (pow.f32 u1 3))))

localize61.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))
0.3b
(*.f32 (PI.f32) u2)
0.4b
(*.f32 (pow.f32 (exp.f32 1/2) (log.f32 (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
2.1b
(pow.f32 (exp.f32 1/2) (log.f32 (log1p.f32 u1)))
Compiler

Compiled 48 to 26 computations (45.8% saved)

series112.0ms (0.7%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
100.0ms
u2
@inf
(*.f32 (pow.f32 (exp.f32 1/2) (log.f32 (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
2.0ms
u1
@-inf
(pow.f32 (exp.f32 1/2) (log.f32 (log1p.f32 u1)))
2.0ms
u1
@inf
(pow.f32 (exp.f32 1/2) (log.f32 (log1p.f32 u1)))
2.0ms
u2
@0
(*.f32 (pow.f32 (exp.f32 1/2) (log.f32 (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
2.0ms
u1
@0
(*.f32 (pow.f32 (exp.f32 1/2) (log.f32 (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))

rewrite79.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
641×log-prod_binary32
584×prod-diff_binary32
342×pow2_binary32
308×pow-unpow_binary32
238×pow1/3_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01432
127922
2325622
Stop Event
node limit
Counts
2 → 45
Calls
Call 1
Inputs
(pow.f32 (exp.f32 1/2) (log.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (exp.f32 1/2) (log.f32 (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 (log.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 1/3) (log.f32 (log1p.f32 u1))) (pow.f32 (exp.f32 1/6) (log.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 1) (log.f32 (cbrt.f32 (log1p.f32 u1)))) (pow.f32 (exp.f32 1) (log.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 1/2) (*.f32 2 (log.f32 (cbrt.f32 (log1p.f32 u1))))) (pow.f32 (exp.f32 1/2) (log.f32 (cbrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 1) (log.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))))) (pow.f32 (exp.f32 1) (log.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (exp.f32 1/2) (exp.f32 (log1p.f32 (log.f32 (log1p.f32 u1))))) (exp.f32 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1))))))

simplify91.0ms (0.6%)

Algorithm
egg-herbie
Rules
864×fma-def_binary32
532×associate-*l*_binary32
529×associate-*r*_binary32
311×associate-/l*_binary32
310×times-frac_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01922331
15912178
219111923
Stop Event
node limit
Counts
81 → 102
Calls
Call 1
Inputs
(sqrt.f32 u1)
(+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))
(+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (*.f32 13/96 (sqrt.f32 (pow.f32 u1 5))) (sqrt.f32 u1)))
(+.f32 (*.f32 -35/384 (sqrt.f32 (pow.f32 u1 7))) (+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (*.f32 13/96 (sqrt.f32 (pow.f32 u1 5))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (*.f32 1/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (-.f32 (+.f32 (*.f32 -1/8 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (*.f32 1/12 (-.f32 (*.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (*.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (*.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (*.f32 1/48 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (pow.f32 u1 3)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (*.f32 1/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (*.f32 -1/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 2)))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (+.f32 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (*.f32 -1/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 2))) (*.f32 -1 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 (-.f32 (+.f32 (*.f32 -1/12 (+.f32 (*.f32 2 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (*.f32 3 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (*.f32 2 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (*.f32 1/8 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (*.f32 1/48 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (pow.f32 u1 3)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)) (*.f32 -1/4 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 u1 3)))))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)) (+.f32 (*.f32 -1/4 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 u1 3)))) (*.f32 13/96 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 u1 5))))))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)) (+.f32 (*.f32 -35/384 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 u1 7)))) (+.f32 (*.f32 -1/4 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 u1 3)))) (*.f32 13/96 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 u1 5)))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (*.f32 1/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (*.f32 1/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (-.f32 (+.f32 (*.f32 -1/8 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (*.f32 1/12 (-.f32 (*.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (*.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (*.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (*.f32 1/48 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))))) (pow.f32 u1 3)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (*.f32 -1/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (pow.f32 u1 2)) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (*.f32 -1/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (pow.f32 u1 2)) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (*.f32 -1 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 (+.f32 (*.f32 -1/12 (+.f32 (*.f32 2 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (*.f32 3 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (*.f32 2 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (*.f32 1/8 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (*.f32 1/48 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))))) (pow.f32 u1 3)) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))
(+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))))
(+.f32 (*.f32 -8/315 (*.f32 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
Outputs
(sqrt.f32 u1)
(+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))
(fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))
(fma.f32 -1/4 (pow.f32 u1 3/2) (sqrt.f32 u1))
(+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (*.f32 13/96 (sqrt.f32 (pow.f32 u1 5))) (sqrt.f32 u1)))
(fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (fma.f32 13/96 (sqrt.f32 (pow.f32 u1 5)) (sqrt.f32 u1)))
(fma.f32 -1/4 (pow.f32 u1 3/2) (fma.f32 13/96 (pow.f32 u1 5/2) (sqrt.f32 u1)))
(+.f32 (*.f32 -35/384 (sqrt.f32 (pow.f32 u1 7))) (+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (*.f32 13/96 (sqrt.f32 (pow.f32 u1 5))) (sqrt.f32 u1))))
(fma.f32 -35/384 (sqrt.f32 (pow.f32 u1 7)) (fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (fma.f32 13/96 (sqrt.f32 (pow.f32 u1 5)) (sqrt.f32 u1))))
(fma.f32 -1/4 (pow.f32 u1 3/2) (fma.f32 -35/384 (pow.f32 u1 7/2) (fma.f32 13/96 (pow.f32 u1 5/2) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 (/.f32 (sqrt.f32 -1) u1) (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) -1/2)))
(fma.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 -1 (log.f32 u1)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (*.f32 1/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 (/.f32 1/8 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (*.f32 1/4 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2)))))) (*.f32 u1 u1)) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))))))
(+.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) -1/2)) (*.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (fma.f32 1/4 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (*.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/8 (*.f32 (log.f32 u1) (log.f32 u1)))) u1)))))
(fma.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (fma.f32 1/4 (+.f32 (/.f32 -1 (log.f32 u1)) (/.f32 -1 (*.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/8 (*.f32 (log.f32 u1) (log.f32 u1)))) u1))) (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 -1 (log.f32 u1))))))
(+.f32 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (-.f32 (+.f32 (*.f32 -1/8 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (*.f32 1/12 (-.f32 (*.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (*.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (*.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (*.f32 1/48 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (pow.f32 u1 3)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (*.f32 1/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 (/.f32 (*.f32 (sqrt.f32 -1) (-.f32 (fma.f32 -1/8 (/.f32 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2))) (neg.f32 (log.f32 u1))) (*.f32 1/12 (-.f32 (/.f32 3 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (+.f32 (/.f32 2 (neg.f32 (log.f32 u1))) (/.f32 2 (pow.f32 (neg.f32 (log.f32 u1)) 3)))))) (/.f32 1/48 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (pow.f32 u1 3)) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 (/.f32 1/8 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (*.f32 1/4 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2)))))) (*.f32 u1 u1)) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))))))
(+.f32 (fma.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (fma.f32 1/4 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (*.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/8 (*.f32 (log.f32 u1) (log.f32 u1)))) u1)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) -1/2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (+.f32 (*.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 -1/8 (-.f32 (/.f32 1 (*.f32 (log.f32 u1) (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (fma.f32 1/12 (-.f32 (/.f32 3 (*.f32 (log.f32 u1) (log.f32 u1))) (+.f32 (/.f32 2 (neg.f32 (log.f32 u1))) (/.f32 2 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (/.f32 -1/48 (pow.f32 (neg.f32 (log.f32 u1)) 3))))) (sqrt.f32 -1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 -1 (log.f32 u1))))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (+.f32 (fma.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 -1/8 (+.f32 (/.f32 1 (*.f32 (log.f32 u1) (log.f32 u1))) (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (fma.f32 1/12 (-.f32 (+.f32 (/.f32 3 (*.f32 (log.f32 u1) (log.f32 u1))) (/.f32 -2 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (/.f32 -2 (log.f32 u1))) (/.f32 -1/48 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (sqrt.f32 -1)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (fma.f32 1/4 (+.f32 (/.f32 -1 (log.f32 u1)) (/.f32 -1 (*.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/8 (*.f32 (log.f32 u1) (log.f32 u1)))) u1)))))
(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))
(sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(fma.f32 1/2 (*.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))
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(fma.f32 -4/3 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (fma.f32 4/15 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))
(fma.f32 -4/3 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (fma.f32 2 (*.f32 u2 (PI.f32)) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(+.f32 (*.f32 -8/315 (*.f32 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))))
(fma.f32 -8/315 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (fma.f32 -4/3 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (fma.f32 4/15 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))))))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (fma.f32 2 (*.f32 u2 (PI.f32)) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))) (fma.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))

localize99.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
0.3b
(*.f32 (pow.f32 (*.f32 2 u2) 3) (pow.f32 (PI.f32) 3))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cbrt.f32 (*.f32 (pow.f32 (*.f32 2 u2) 3) (pow.f32 (PI.f32) 3))))
1.0b
(pow.f32 (PI.f32) 3)
Compiler

Compiled 68 to 42 computations (38.2% saved)

series11.0ms (0.1%)

Counts
3 → 32
Calls

9 calls:

TimeVariablePointExpression
3.0ms
u2
@inf
(*.f32 (pow.f32 (*.f32 2 u2) 3) (pow.f32 (PI.f32) 3))
2.0ms
u2
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cbrt.f32 (*.f32 (pow.f32 (*.f32 2 u2) 3) (pow.f32 (PI.f32) 3))))
1.0ms
u2
@0
(*.f32 (pow.f32 (*.f32 2 u2) 3) (pow.f32 (PI.f32) 3))
1.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cbrt.f32 (*.f32 (pow.f32 (*.f32 2 u2) 3) (pow.f32 (PI.f32) 3))))
1.0ms
u2
@-inf
(*.f32 (pow.f32 (*.f32 2 u2) 3) (pow.f32 (PI.f32) 3))

rewrite78.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
671×log-prod_binary32
471×pow-prod-down_binary32
369×pow-unpow_binary32
320×pow2_binary32
227×expm1-udef_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01635
133931
2380831
Stop Event
node limit
Counts
3 → 62
Calls
Call 1
Inputs
(pow.f32 (PI.f32) 3)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cbrt.f32 (*.f32 (pow.f32 (*.f32 2 u2) 3) (pow.f32 (PI.f32) 3))))
(*.f32 (pow.f32 (*.f32 2 u2) 3) (pow.f32 (PI.f32) 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (PI.f32) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (PI.f32) 3))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (PI.f32) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (PI.f32) 3)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (PI.f32) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (PI.f32) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) (pow.f32 (PI.f32) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (PI.f32) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (PI.f32) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (PI.f32) 2) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (PI.f32) 3/2) (pow.f32 (PI.f32) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (PI.f32) 2) 1) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (PI.f32) (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (PI.f32) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (PI.f32) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (PI.f32) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 3 (log.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (PI.f32))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 u2) 2) (PI.f32)) (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 u2) 2) (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 u2) 2) (PI.f32)) (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 u2) 2) (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (+.f32 u2 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (+.f32 u2 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (+.f32 u2 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (+.f32 u2 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 u2) 2) (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (+.f32 u2 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (+.f32 u2 u2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 8 (pow.f32 (*.f32 u2 (PI.f32)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 8) (pow.f32 (*.f32 u2 (PI.f32)) 3))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 8) (pow.f32 (*.f32 u2 (PI.f32)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 8) (pow.f32 (*.f32 u2 (PI.f32)) 3)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 8) (pow.f32 (*.f32 u2 (PI.f32)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 8 (pow.f32 (*.f32 u2 (PI.f32)) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 8 (pow.f32 (*.f32 u2 (PI.f32)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (*.f32 (PI.f32) (+.f32 u2 u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 (*.f32 u2 u2) 4)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 8) (pow.f32 (*.f32 u2 (PI.f32)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 8 (pow.f32 (*.f32 u2 (PI.f32)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 8 (pow.f32 (*.f32 u2 (PI.f32)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 8 (pow.f32 (*.f32 u2 (PI.f32)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 3 (log.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3))))))

simplify108.0ms (0.7%)

Algorithm
egg-herbie
Rules
782×associate-*l*_binary32
696×associate-*r*_binary32
506×times-frac_binary32
416×fma-def_binary32
409×associate-/l*_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01021265
13071101
212841024
378411024
Stop Event
node limit
Counts
94 → 84
Calls
Call 1
Inputs
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (PI.f32))) (pow.f32 u1 2))))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (PI.f32))) (pow.f32 u1 3)))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (PI.f32))) (pow.f32 u1 2)))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 -1 (*.f32 (*.f32 (cbrt.f32 -8) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 -1 (*.f32 (*.f32 (cbrt.f32 -8) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 -1 (*.f32 (*.f32 (cbrt.f32 -8) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 -1 (*.f32 (*.f32 (cbrt.f32 -8) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
Outputs
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) 2))
(*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 2 u2) (PI.f32))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(-.f32 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) 2)) (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))
(-.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 2 u2) (PI.f32)))) (*.f32 (*.f32 (*.f32 u2 (PI.f32)) (/.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) u2) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) -1/2) 2)))) (*.f32 u1 u1))) (fma.f32 -1 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) 2)) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (neg.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (*.f32 (PI.f32) (*.f32 u2 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2)))) u1))) (neg.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (*.f32 u2 (PI.f32))))))))
(fma.f32 2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (neg.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (*.f32 u2 (PI.f32))) (fma.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/4 1/2)) (*.f32 (*.f32 u2 (PI.f32)) (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 -1 (/.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 -1) u2) (*.f32 (PI.f32) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) -1/2) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (pow.f32 u1 3)) (fma.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) u2) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) -1/2) 2)))) (*.f32 u1 u1))) (fma.f32 -1 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(-.f32 (+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) 2)) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (neg.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (*.f32 (PI.f32) (*.f32 u2 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2)))) u1))) (neg.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (*.f32 u2 (PI.f32)))))))) (/.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (/.f32 (pow.f32 u1 3) (*.f32 (*.f32 u2 (PI.f32)) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)))))
(+.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 2 u2) (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (-.f32 (*.f32 (neg.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 (*.f32 u2 (PI.f32)) (fma.f32 1/2 (/.f32 (fma.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/4 1/2) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (*.f32 u2 (PI.f32))) (fma.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/4 1/2))) (*.f32 (/.f32 (sqrt.f32 -1) u1) (*.f32 u2 (neg.f32 (PI.f32)))))))
(*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))))
(*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 -1) 2))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 -1 (*.f32 u2 (PI.f32))) 2))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 u2 (PI.f32)) -2))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))))
(fma.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 -1) 2))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u2 (/.f32 u1 (PI.f32))))))
(-.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 -1 (*.f32 u2 (PI.f32))) 2)) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 (/.f32 u2 u1) (PI.f32))))
(-.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 u2 (PI.f32)) -2)) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 (PI.f32) (/.f32 u2 u1))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (PI.f32))) (pow.f32 u1 2))))))
(fma.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 -1) 2))) (*.f32 -1 (+.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u2 (/.f32 u1 (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u2 (/.f32 (*.f32 u1 u1) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)))))))))
(fma.f32 2 (*.f32 -1 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))) (*.f32 (neg.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (*.f32 (/.f32 u2 u1) (PI.f32)) (*.f32 (/.f32 u2 (*.f32 u1 u1)) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)))))))
(-.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 u2 (PI.f32)) -2)) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 (/.f32 u2 u1) (+.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 u1 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2))))))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (PI.f32))) (pow.f32 u1 3)))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (PI.f32))) (pow.f32 u1 2)))))))
(fma.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 -1) 2))) (fma.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u2 (/.f32 u1 (PI.f32)))) (fma.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u2 (/.f32 (pow.f32 u1 3) (*.f32 (PI.f32) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (*.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 (sqrt.f32 -1) 2))))))))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u2 (/.f32 (*.f32 u1 u1) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2))))))))))
(fma.f32 2 (*.f32 -1 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))) (-.f32 (*.f32 (neg.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (*.f32 (/.f32 u2 (pow.f32 u1 3)) (*.f32 (PI.f32) (-.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (log.f32 (/.f32 -1 u1))))))) (*.f32 (/.f32 u2 (*.f32 u1 u1)) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)))))) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 (/.f32 u2 u1) (PI.f32)))))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 u2 (PI.f32)) -2) (*.f32 (neg.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (*.f32 (PI.f32) (/.f32 u2 u1)) (*.f32 (/.f32 u2 (*.f32 u1 u1)) (+.f32 (/.f32 (PI.f32) (/.f32 u1 (+.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (log.f32 (/.f32 -1 u1))))))) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2))))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 2 u2) (PI.f32))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 2 u2) (PI.f32))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 2 u2) (PI.f32))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 2 u2) (PI.f32))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 2 u2) (PI.f32))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 2 u2) (PI.f32))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 2 u2) (PI.f32))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 2 u2) (PI.f32))))
(*.f32 -1 (*.f32 (*.f32 (cbrt.f32 -8) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(neg.f32 (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (cbrt.f32 -8))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (neg.f32 (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 u2 (PI.f32)) (cbrt.f32 -8)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (neg.f32 (cbrt.f32 -8))))
(*.f32 -1 (*.f32 (*.f32 (cbrt.f32 -8) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(neg.f32 (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (cbrt.f32 -8))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (neg.f32 (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 u2 (PI.f32)) (cbrt.f32 -8)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (neg.f32 (cbrt.f32 -8))))
(*.f32 -1 (*.f32 (*.f32 (cbrt.f32 -8) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(neg.f32 (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (cbrt.f32 -8))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (neg.f32 (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 u2 (PI.f32)) (cbrt.f32 -8)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (neg.f32 (cbrt.f32 -8))))
(*.f32 -1 (*.f32 (*.f32 (cbrt.f32 -8) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(neg.f32 (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (cbrt.f32 -8))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (neg.f32 (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 u2 (PI.f32)) (cbrt.f32 -8)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (neg.f32 (cbrt.f32 -8))))
(*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 (*.f32 8 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3))
(*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 (*.f32 8 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3))
(*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 (*.f32 8 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3))
(*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 (*.f32 8 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3))
(*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 (*.f32 8 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3))
(*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 (*.f32 8 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3))
(*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 (*.f32 8 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3))
(*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 (*.f32 8 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3))
(*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 (*.f32 8 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3))
(*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 (*.f32 8 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3))
(*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 (*.f32 8 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3))
(*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 (*.f32 8 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3))

eval342.0ms (2.1%)

Compiler

Compiled 19035 to 12003 computations (36.9% saved)

prune241.0ms (1.5%)

Pruning

65 alts after pruning (56 fresh and 9 done)

PrunedKeptTotal
New67725702
Fresh193150
Picked101
Done1910
Total69865763
Error
0.1b
Counts
763 → 65
Alt Table
Click to see full alt table
StatusErrorProgram
4.1b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 u1 (+.f32 -3 (*.f32 u1 -3/2)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
15.6b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 3 (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.7b
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
7.9b
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
2.0b
(*.f32 (pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 2) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
7.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
2.9b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
14.3b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 3))
4.1b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (+.f32 (*.f32 -3/2 (pow.f32 u1 2)) (*.f32 -3 u1))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
8.7b
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
22.9b
(-.f32 (+.f32 1 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))) 1)
1.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))))) 3))
8.6b
(*.f32 (pow.f32 (pow.f32 (exp.f32 1/2) (cbrt.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log.f32 (log1p.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
7.3b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 u1 -3)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
8.5b
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
2.8b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
10.6b
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
3.0b
(*.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3) 1/3) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
8.6b
(*.f32 (pow.f32 (exp.f32 1/2) (log.f32 (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
4.0b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
3.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3))
8.8b
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)
0.8b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
10.7b
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
11.2b
(exp.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))))
0.9b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
2.9b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
13.2b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))
8.3b
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
15.0b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
13.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))
6.1b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2)))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
6.1b
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
9.4b
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
6.1b
(*.f32 u2 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (*.f32 2 (PI.f32))))
8.2b
(*.f32 (*.f32 (pow.f32 (exp.f32 1/3) (log.f32 (log1p.f32 u1))) (pow.f32 (exp.f32 1/6) (log.f32 (log1p.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
6.2b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2))
1.0b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)))
14.3b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
16.4b
(+.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))) (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))))
15.3b
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
6.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3))
8.3b
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
0.6b
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2))
10.7b
(sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
11.1b
(*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
0.7b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
12.1b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
10.7b
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))) 2)
11.1b
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
7.8b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
2.9b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (fma.f32 u1 -3 (*.f32 (*.f32 u1 u1) (-.f32 -3/2 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
10.7b
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))) 3)
20.8b
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
15.3b
(*.f32 (pow.f32 (exp.f32 1/2) (log.f32 (log1p.f32 u1))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
7.2b
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
15.1b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 2))
8.5b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
4.0b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 (*.f32 u1 -1/2) -1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Compiler

Compiled 2240 to 1904 computations (15% saved)

localize97.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
0.2b
(expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
0.3b
(*.f32 (PI.f32) (*.f32 u2 2))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
Compiler

Compiled 64 to 36 computations (43.8% saved)

series7.0ms (0%)

Counts
4 → 56
Calls

15 calls:

TimeVariablePointExpression
2.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
1.0ms
u2
@0
(expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
1.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
0.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
0.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))

rewrite72.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
597×log-prod_binary32
500×prod-diff_binary32
348×pow-prod-down_binary32
296×pow2_binary32
257×pow-unpow_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01551
128347
2336147
Stop Event
node limit
Counts
4 → 87
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (PI.f32) (*.f32 u2 2))
(expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (PI.f32) (+.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 2) (*.f32 (PI.f32) u2))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 2) (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 2) (*.f32 (PI.f32) u2)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 2) (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 2) (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))) (log.f32 (sqrt.f32 (exp.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (cbrt.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 2) (cbrt.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3) 1) (+.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2) (+.f32 1 (*.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2) 1) (+.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 2) (cbrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (pow.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2) (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (cos.f32 1)) (*.f32 (cos.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (sin.f32 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2))) (log.f32 (-.f32 1 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1))))))

simplify80.0ms (0.5%)

Algorithm
egg-herbie
Rules
879×fma-def_binary32
520×associate-/l/_binary32
425×*-commutative_binary32
320×unswap-sqr_binary32
314×distribute-rgt-in_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01531838
14731656
216591525
354661440
Stop Event
node limit
Counts
143 → 130
Calls
Call 1
Inputs
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -8/315 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 (+.f32 (*.f32 4/3 (pow.f32 (PI.f32) 3)) (*.f32 -4/3 (pow.f32 (PI.f32) 3))) (pow.f32 u2 3)) (*.f32 2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (*.f32 (+.f32 (*.f32 2/3 (pow.f32 (PI.f32) 4)) (*.f32 -8/3 (pow.f32 (PI.f32) 4))) (pow.f32 u2 4)) (+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 (+.f32 (*.f32 4/3 (pow.f32 (PI.f32) 3)) (*.f32 -4/3 (pow.f32 (PI.f32) 3))) (pow.f32 u2 3)) (*.f32 2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))))
(-.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(*.f32 2 (*.f32 u2 (PI.f32)))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
Outputs
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) u1) (sqrt.f32 -1)) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 -1/2 (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (*.f32 u1 u1) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) u1) (sqrt.f32 -1))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 -1)) (/.f32 (*.f32 u1 u1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))))))))
(fma.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (/.f32 (sqrt.f32 -1) u1))) (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2)))))
(fma.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (+.f32 (/.f32 -1/2 (/.f32 u1 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2))) -1/2))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (*.f32 u1 u1) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (pow.f32 u1 3) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 -1)) (/.f32 (*.f32 u1 u1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))))) (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (/.f32 (/.f32 (pow.f32 u1 3) (sqrt.f32 -1)) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))))) (fma.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) u1) (sqrt.f32 -1)) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (+.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (/.f32 (sqrt.f32 -1) u1))) (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2)))) (*.f32 -1/2 (*.f32 (*.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 3)))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (/.f32 (*.f32 u1 u1) (sqrt.f32 -1))) (+.f32 (/.f32 (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3) u1) (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (neg.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(fma.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) u1) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2)))
(fma.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u1 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))))
(-.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) u1))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
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(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (fma.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 u1 u1)) (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2))) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2))))
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(*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(*.f32 2 (+.f32 (*.f32 u2 (PI.f32)) (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(*.f32 2 (fma.f32 u2 (PI.f32) (*.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2)))))
(*.f32 2 (*.f32 u2 (+.f32 (PI.f32) (*.f32 u2 (pow.f32 (PI.f32) 2)))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 (+.f32 (*.f32 4/3 (pow.f32 (PI.f32) 3)) (*.f32 -4/3 (pow.f32 (PI.f32) 3))) (pow.f32 u2 3)) (*.f32 2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(*.f32 2 (+.f32 (*.f32 u2 (PI.f32)) (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(*.f32 2 (fma.f32 u2 (PI.f32) (*.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2)))))
(*.f32 2 (*.f32 u2 (+.f32 (PI.f32) (*.f32 u2 (pow.f32 (PI.f32) 2)))))
(+.f32 (*.f32 (+.f32 (*.f32 2/3 (pow.f32 (PI.f32) 4)) (*.f32 -8/3 (pow.f32 (PI.f32) 4))) (pow.f32 u2 4)) (+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 (+.f32 (*.f32 4/3 (pow.f32 (PI.f32) 3)) (*.f32 -4/3 (pow.f32 (PI.f32) 3))) (pow.f32 u2 3)) (*.f32 2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))))
(fma.f32 (*.f32 (pow.f32 (PI.f32) 4) -2) (pow.f32 u2 4) (fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 (*.f32 (pow.f32 (PI.f32) 3) 0) (pow.f32 u2 3) (*.f32 2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))))))
(fma.f32 (*.f32 (pow.f32 (PI.f32) 4) -2) (pow.f32 u2 4) (+.f32 (*.f32 2 (fma.f32 u2 (PI.f32) (*.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))))) (*.f32 (pow.f32 u2 3) 0)))
(fma.f32 (pow.f32 (PI.f32) 4) (*.f32 (pow.f32 u2 4) -2) (fma.f32 2 (*.f32 u2 (+.f32 (PI.f32) (*.f32 u2 (pow.f32 (PI.f32) 2)))) 0))
(fma.f32 (pow.f32 (PI.f32) 4) (*.f32 (pow.f32 u2 4) -2) (*.f32 2 (*.f32 u2 (+.f32 (PI.f32) (*.f32 u2 (pow.f32 (PI.f32) 2))))))
(-.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(expm1.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(expm1.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(-.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(expm1.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(expm1.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(-.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(expm1.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(expm1.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(-.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(expm1.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(expm1.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(-.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(expm1.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(expm1.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(-.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(expm1.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(expm1.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(-.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(expm1.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(expm1.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(-.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(expm1.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(expm1.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (*.f32 (*.f32 -4/3 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3)))
(fma.f32 2 (*.f32 u2 (PI.f32)) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 (pow.f32 u2 3)) (*.f32 u2 (*.f32 2 (PI.f32))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (*.f32 (pow.f32 u2 5) (*.f32 (pow.f32 (PI.f32) 5) 4/15))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (*.f32 u2 (*.f32 2 (PI.f32)))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (*.f32 (pow.f32 u2 7) (*.f32 (pow.f32 (PI.f32) 7) -8/315)))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (*.f32 (pow.f32 u2 7) (*.f32 -8/315 (pow.f32 (PI.f32) 7))))))
(fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (*.f32 (pow.f32 u2 7) (*.f32 -8/315 (pow.f32 (PI.f32) 7))))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))

localize47.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(*.f32 u2 (PI.f32))
0.4b
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
Compiler

Compiled 26 to 10 computations (61.5% saved)

series3.0ms (0%)

Counts
1 → 0
Calls

6 calls:

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

rewrite48.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
654×pow1_binary32
600×add-log-exp_binary32
600×log1p-expm1-u_binary32
600×expm1-log1p-u_binary32
584×add-exp-log_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
113910
2167010
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (PI.f32)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (*.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))))))))

simplify7.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
11 → 11
Calls
Call 1
Inputs
Outputs

localize115.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))
0.3b
(*.f32 (*.f32 2 (PI.f32)) u2)
0.3b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.4b
(*.f32 u1 -1/3)
Compiler

Compiled 99 to 62 computations (37.4% saved)

series37.0ms (0.2%)

Counts
3 → 36
Calls

12 calls:

TimeVariablePointExpression
29.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u1
@inf
(*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))

rewrite91.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
920×log-prod_binary32
639×fma-def_binary32
326×expm1-udef_binary32
326×log1p-udef_binary32
273×fma-neg_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01849
139443
2523943
Stop Event
node limit
Counts
3 → 89
Calls
Call 1
Inputs
(*.f32 u1 -1/3)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u1 -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 -1/3) u1)) (cbrt.f32 (pow.f32 (exp.f32 -1/3) u1)))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 -1/3) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 -1/3) u1))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 -1/3) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u1 -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u1 -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u1 -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u1 -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u1 -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (*.f32 u1 u1) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 -1/3) u1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 u1 -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u1 -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u1 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u1 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u1 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u1 -1/3)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (-.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (-.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1)))) (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (-.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (-.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (-.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (-.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (-.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (-.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (-.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (-.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u1 (*.f32 u1 -1/2)) (*.f32 -1/3 (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 u1 (*.f32 u1 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 u1 (*.f32 u1 -1/2)) 1) (*.f32 (*.f32 -1/3 (pow.f32 u1 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 u1) (*.f32 u1 (fma.f32 u1 -1/3 -1/2)))) (cbrt.f32 (pow.f32 (exp.f32 u1) (*.f32 u1 (fma.f32 u1 -1/3 -1/2)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u1) (*.f32 u1 (fma.f32 u1 -1/3 -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u1) (*.f32 u1 (fma.f32 u1 -1/3 -1/2))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u1) (*.f32 u1 (fma.f32 u1 -1/3 -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u1 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(#(struct:change #<rule egg-rr> (2) ((x fma.f32 -1/3 (pow.f32 u1 3) (*.f32 u1 (*.f32 u1 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u1 -1/3) (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u1 u1) (*.f32 u1 -1/3) (*.f32 u1 (*.f32 u1 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u1 u1) -1/2 (*.f32 -1/3 (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 -1/2 (*.f32 u1 u1) (*.f32 -1/3 (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 u1 (*.f32 u1 -1/2)) (*.f32 -1/3 (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 u1 (*.f32 u1 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 u1 4)) (*.f32 (pow.f32 (cbrt.f32 u1) 2) (*.f32 u1 -1/3)) (*.f32 u1 (*.f32 u1 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 u1 4)) (*.f32 (pow.f32 (cbrt.f32 u1) 2) -1/2) 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simplify86.0ms (0.5%)

Algorithm
egg-herbie
Rules
852×fma-neg_binary32
444×unswap-sqr_binary32
412×distribute-rgt-in_binary32
370×cancel-sign-sub-inv_binary32
304×distribute-lft-in_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048715
1137626
2410584
31839560
42597560
54079560
66188560
Stop Event
node limit
Counts
125 → 105
Calls
Call 1
Inputs
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2))))))
(+.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (+.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2))))))))
(+.f32 (*.f32 -8/315 (*.f32 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (+.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(*.f32 -1/2 (pow.f32 u1 2))
(+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))
(*.f32 -1/3 (pow.f32 u1 3))
(+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))
(*.f32 -1/3 (pow.f32 u1 3))
(+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))
Outputs
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2))))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (fma.f32 -1/3 u1 -1/2))))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 1/3 1/2)) u1))))
(*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 1/3 1/2) 1))) (*.f32 u2 (*.f32 2 (PI.f32))))
(+.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))))
(fma.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1))))) (*.f32 -4/3 (*.f32 (sqrt.f32 (-.f32 u1 (*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1)))) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(*.f32 (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (fma.f32 -1/3 u1 -1/2))))) (+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(*.f32 (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (fma.f32 -1/3 u1 -1/2))))) (fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 1/3 1/2)) u1)) (fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 1/3 1/2) 1))) (fma.f32 2 (*.f32 u2 (PI.f32)) (*.f32 (pow.f32 u2 3) (*.f32 -4/3 (pow.f32 (PI.f32) 3)))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (+.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2))))))))
(fma.f32 4/15 (*.f32 (sqrt.f32 (-.f32 u1 (*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1)))) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (fma.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1))))) (*.f32 -4/3 (*.f32 (sqrt.f32 (-.f32 u1 (*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1)))) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
(fma.f32 4/15 (*.f32 (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (fma.f32 -1/3 u1 -1/2))))) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (*.f32 (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (fma.f32 -1/3 u1 -1/2))))) (+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
(*.f32 (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (fma.f32 -1/3 u1 -1/2))))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (fma.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (fma.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 1/3 1/2)) u1)) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (fma.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 1/3 1/2) 1))) (+.f32 (*.f32 (pow.f32 u2 3) (*.f32 -4/3 (pow.f32 (PI.f32) 3))) (fma.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (*.f32 u2 (*.f32 2 (PI.f32))))))
(+.f32 (*.f32 -8/315 (*.f32 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (+.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))))))
(fma.f32 -8/315 (*.f32 (sqrt.f32 (-.f32 u1 (*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1)))) (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (fma.f32 4/15 (*.f32 (sqrt.f32 (-.f32 u1 (*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1)))) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (fma.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1))))) (*.f32 -4/3 (*.f32 (sqrt.f32 (-.f32 u1 (*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1)))) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))))
(+.f32 (*.f32 (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (fma.f32 -1/3 u1 -1/2))))) (+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))) (*.f32 (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (fma.f32 -1/3 u1 -1/2))))) (+.f32 (*.f32 (*.f32 -8/315 (pow.f32 (PI.f32) 7)) (pow.f32 u2 7)) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(*.f32 (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (fma.f32 -1/3 u1 -1/2))))) (+.f32 (fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (*.f32 2 (*.f32 u2 (PI.f32)))) (fma.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (*.f32 (pow.f32 (PI.f32) 5) (*.f32 4/15 (pow.f32 u2 5))))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (+.f32 (fma.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (*.f32 (pow.f32 (PI.f32) 5) (*.f32 4/15 (pow.f32 u2 5)))) (fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 1/3 1/2)) u1)) (+.f32 (fma.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (*.f32 (pow.f32 (PI.f32) 5) (*.f32 4/15 (pow.f32 u2 5)))) (fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 1/3 1/2) 1))) (+.f32 (fma.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (*.f32 (pow.f32 u2 5) (*.f32 4/15 (pow.f32 (PI.f32) 5)))) (fma.f32 2 (*.f32 u2 (PI.f32)) (*.f32 (pow.f32 u2 3) (*.f32 -4/3 (pow.f32 (PI.f32) 3))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(*.f32 (sqrt.f32 (-.f32 u1 (*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (fma.f32 -1/3 u1 -1/2))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 1/3 1/2)) u1)) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 1/3 1/2) 1))) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(*.f32 (sqrt.f32 (-.f32 u1 (*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (fma.f32 -1/3 u1 -1/2))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 1/3 1/2)) u1)) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 1/3 1/2) 1))) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(*.f32 (sqrt.f32 (-.f32 u1 (*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (fma.f32 -1/3 u1 -1/2))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 1/3 1/2)) u1)) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 1/3 1/2) 1))) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(*.f32 (sqrt.f32 (-.f32 u1 (*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (fma.f32 -1/3 u1 -1/2))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 1/3 1/2)) u1)) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 1/3 1/2) 1))) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(*.f32 (sqrt.f32 (-.f32 u1 (*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (fma.f32 -1/3 u1 -1/2))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 1/3 1/2)) u1)) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 1/3 1/2) 1))) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(*.f32 (sqrt.f32 (-.f32 u1 (*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (fma.f32 -1/3 u1 -1/2))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 1/3 1/2)) u1)) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 1/3 1/2) 1))) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(*.f32 (sqrt.f32 (-.f32 u1 (*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (fma.f32 -1/3 u1 -1/2))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 1/3 1/2)) u1)) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 1/3 1/2) 1))) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(*.f32 (sqrt.f32 (-.f32 u1 (*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (fma.f32 -1/3 u1 -1/2))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 1/3 1/2)) u1)) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 1/3 1/2) 1))) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(*.f32 -1/2 (pow.f32 u1 2))
(*.f32 (*.f32 u1 u1) -1/2)
(*.f32 u1 (*.f32 u1 -1/2))
(+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1/3 (pow.f32 u1 3) (*.f32 (*.f32 u1 u1) -1/2))
(*.f32 u1 (*.f32 u1 (fma.f32 -1/3 u1 -1/2)))
(*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1))
(+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1/3 (pow.f32 u1 3) (*.f32 (*.f32 u1 u1) -1/2))
(*.f32 u1 (*.f32 u1 (fma.f32 -1/3 u1 -1/2)))
(*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1))
(+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1/3 (pow.f32 u1 3) (*.f32 (*.f32 u1 u1) -1/2))
(*.f32 u1 (*.f32 u1 (fma.f32 -1/3 u1 -1/2)))
(*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1))
(*.f32 -1/3 (pow.f32 u1 3))
(+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1/3 (pow.f32 u1 3) (*.f32 (*.f32 u1 u1) -1/2))
(*.f32 u1 (*.f32 u1 (fma.f32 -1/3 u1 -1/2)))
(*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1))
(+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1/3 (pow.f32 u1 3) (*.f32 (*.f32 u1 u1) -1/2))
(*.f32 u1 (*.f32 u1 (fma.f32 -1/3 u1 -1/2)))
(*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1))
(+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1/3 (pow.f32 u1 3) (*.f32 (*.f32 u1 u1) -1/2))
(*.f32 u1 (*.f32 u1 (fma.f32 -1/3 u1 -1/2)))
(*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1))
(*.f32 -1/3 (pow.f32 u1 3))
(+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1/3 (pow.f32 u1 3) (*.f32 (*.f32 u1 u1) -1/2))
(*.f32 u1 (*.f32 u1 (fma.f32 -1/3 u1 -1/2)))
(*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1))
(+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1/3 (pow.f32 u1 3) (*.f32 (*.f32 u1 u1) -1/2))
(*.f32 u1 (*.f32 u1 (fma.f32 -1/3 u1 -1/2)))
(*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1))
(+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1/3 (pow.f32 u1 3) (*.f32 (*.f32 u1 u1) -1/2))
(*.f32 u1 (*.f32 u1 (fma.f32 -1/3 u1 -1/2)))
(*.f32 (fma.f32 -1/3 u1 -1/2) (*.f32 u1 u1))

localize57.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
0.3b
(*.f32 (PI.f32) (*.f32 2 u2))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2))
0.5b
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)
Compiler

Compiled 57 to 31 computations (45.6% saved)

series14.0ms (0.1%)

Counts
3 → 20
Calls

12 calls:

TimeVariablePointExpression
2.0ms
u2
@0
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)
2.0ms
u2
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2))
1.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2))
1.0ms
u2
@-inf
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)
1.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2))

rewrite104.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
569×log-prod_binary32
413×exp-prod_binary32
389×pow-prod-down_binary32
299×pow-unpow_binary32
266×pow2_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01437
128733
2318633
Stop Event
node limit
Counts
3 → 108
Calls
Call 1
Inputs
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2))
(sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) u2) (PI.f32)) (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) u2) (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) u2) (PI.f32)) (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) u2) (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1)))))) 2)) (cbrt.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1))))))) (sqrt.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) u2) (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1))))) 1) 1))))))
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simplify111.0ms (0.7%)

Algorithm
egg-herbie
Rules
738×times-frac_binary32
638×associate-/l*_binary32
419×fma-def_binary32
388×associate-/r*_binary32
366×*-commutative_binary32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01081279
1318934
21343869
36553843
47765841
Stop Event
node limit
Counts
128 → 127
Calls
Call 1
Inputs
(*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (PI.f32))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) (PI.f32))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (PI.f32))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (*.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 -1 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (pow.f32 (sqrt.f32 -2) 2) (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 -1 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (pow.f32 (sqrt.f32 -2) 2) (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 -1 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (pow.f32 (sqrt.f32 -2) 2) (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 -1 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (pow.f32 (sqrt.f32 -2) 2) (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
Outputs
(*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (pow.f32 (sqrt.f32 2) 2) (/.f32 u1 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (/.f32 -1 (/.f32 (/.f32 u1 (sqrt.f32 -1)) (*.f32 u2 (PI.f32))))))
(fma.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (/.f32 -1 u1) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))))))
(fma.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (/.f32 (neg.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (/.f32 u1 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (PI.f32))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (pow.f32 (sqrt.f32 2) 2) (/.f32 u1 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (pow.f32 (sqrt.f32 2) 2) (/.f32 (*.f32 u1 u1) (*.f32 (*.f32 (sqrt.f32 -1) u2) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))))))))))
(fma.f32 (/.f32 -1 (/.f32 (/.f32 u1 (sqrt.f32 -1)) (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (fma.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (/.f32 -1 (*.f32 (/.f32 u1 (sqrt.f32 -1)) (/.f32 u1 (*.f32 (PI.f32) (*.f32 u2 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))))))))))
(fma.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 (/.f32 -1 u1) (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (/.f32 u1 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2)))) (*.f32 (/.f32 -1 u1) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))))))
(fma.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 2)) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 u2 (/.f32 (/.f32 u1 (PI.f32)) (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) (PI.f32))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (PI.f32))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (pow.f32 (sqrt.f32 2) 2) (/.f32 u1 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (*.f32 -1/2 (+.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (pow.f32 (sqrt.f32 2) 2) (/.f32 (pow.f32 u1 3) (*.f32 (*.f32 (sqrt.f32 -1) u2) (*.f32 (PI.f32) (+.f32 1/3 (/.f32 (*.f32 1/2 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (pow.f32 (sqrt.f32 2) 2) (/.f32 (*.f32 u1 u1) (*.f32 (*.f32 (sqrt.f32 -1) u2) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))))))))
(fma.f32 (/.f32 -1 (/.f32 (/.f32 u1 (sqrt.f32 -1)) (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (fma.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (/.f32 -1 (/.f32 (/.f32 (pow.f32 u1 3) (*.f32 (*.f32 u2 (PI.f32)) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))) (sqrt.f32 -1))) (/.f32 -1 (*.f32 (/.f32 u1 (sqrt.f32 -1)) (/.f32 u1 (*.f32 (PI.f32) (*.f32 u2 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)))))))))))
(fma.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 2)) (+.f32 (*.f32 (/.f32 (*.f32 u2 (PI.f32)) u1) (/.f32 (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3) u1)) (/.f32 u2 (/.f32 (/.f32 u1 (PI.f32)) (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2)))))) (*.f32 (/.f32 -1 u1) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))))))
(fma.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 2)) (*.f32 u2 (PI.f32))) (*.f32 (/.f32 (*.f32 2 (sqrt.f32 -1)) (*.f32 u1 u1)) (+.f32 (*.f32 (PI.f32) (*.f32 u2 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2))) (/.f32 (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3) (/.f32 u1 (*.f32 u2 (PI.f32))))))))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 u2 (*.f32 (PI.f32) -2)))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 -1/2 (*.f32 (/.f32 (pow.f32 (sqrt.f32 2) 2) (/.f32 u1 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(fma.f32 (/.f32 -1 (/.f32 u1 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 u2 (*.f32 (PI.f32) -2))))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 u2 (*.f32 (PI.f32) -2)) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 (/.f32 -1 u1) (*.f32 u2 (PI.f32)))))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 u2 (*.f32 (PI.f32) -2)) (/.f32 (neg.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (/.f32 u1 (*.f32 u2 (PI.f32)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(fma.f32 -1/2 (*.f32 (/.f32 (pow.f32 (sqrt.f32 2) 2) (/.f32 u1 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (pow.f32 (sqrt.f32 2) 2) (/.f32 (*.f32 u1 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2))))))) (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))))
(+.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 u2 (*.f32 (PI.f32) -2))) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 -1 (/.f32 u1 (*.f32 u2 (PI.f32)))) (/.f32 -1 (/.f32 (*.f32 u1 u1) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2))))))))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 u2 (*.f32 (PI.f32) -2)) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (*.f32 (/.f32 -1 u1) (/.f32 u2 (/.f32 (/.f32 u1 (PI.f32)) (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2))))) (*.f32 (/.f32 -1 u1) (*.f32 u2 (PI.f32))))))
(fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 (/.f32 2 (/.f32 u1 u2)) (+.f32 (PI.f32) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) (/.f32 u1 (PI.f32)))))) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 u2 (*.f32 (PI.f32) -2))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (*.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (pow.f32 (sqrt.f32 2) 2) (/.f32 u1 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (pow.f32 (sqrt.f32 2) 2) (/.f32 (pow.f32 u1 3) (*.f32 (*.f32 u2 (-.f32 1/3 (/.f32 (*.f32 -1/2 (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (PI.f32))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (pow.f32 (sqrt.f32 2) 2) (/.f32 (*.f32 u1 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2))))))) (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (fma.f32 (/.f32 -1 (/.f32 (*.f32 u1 u1) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2))))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 u2 (*.f32 (PI.f32) -2)))) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 -1 (/.f32 u1 (*.f32 u2 (PI.f32)))) (/.f32 -1 (/.f32 (pow.f32 u1 3) (*.f32 (PI.f32) (*.f32 u2 (-.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) (log.f32 (/.f32 -1 u1))))))))))))
(+.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 u2 (*.f32 (PI.f32) -2))) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (+.f32 (*.f32 (/.f32 -1 (pow.f32 u1 3)) (*.f32 (PI.f32) (*.f32 u2 (-.f32 1/3 (/.f32 (fma.f32 -1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2) -1/4) (neg.f32 (log.f32 (/.f32 -1 u1)))))))) (*.f32 (/.f32 -1 u1) (*.f32 u2 (PI.f32)))) (*.f32 (/.f32 -1 u1) (/.f32 u2 (/.f32 (/.f32 u1 (PI.f32)) (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2))))))))
(+.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 u2 (*.f32 (PI.f32) -2))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (*.f32 (*.f32 u2 (PI.f32)) (/.f32 2 u1)) (*.f32 (*.f32 (*.f32 u2 (PI.f32)) (/.f32 2 u1)) (+.f32 (/.f32 (-.f32 1/3 (/.f32 (fma.f32 -1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2) -1/4) (neg.f32 (log.f32 (/.f32 -1 u1))))) (*.f32 u1 u1)) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) u1)))))))
(+.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 u2 (*.f32 (PI.f32) -2))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (*.f32 (*.f32 u2 (PI.f32)) (/.f32 2 u1)) (*.f32 (*.f32 (*.f32 u2 (PI.f32)) (/.f32 2 u1)) (+.f32 (/.f32 (-.f32 1/3 (/.f32 (fma.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2) 1/4) (log.f32 (/.f32 -1 u1)))) (*.f32 u1 u1)) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) u1)))))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (*.f32 2 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (*.f32 2 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (*.f32 2 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (*.f32 2 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (*.f32 2 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (*.f32 2 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (*.f32 2 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (*.f32 2 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 -1 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (pow.f32 (sqrt.f32 -2) 2) (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (*.f32 2 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 -1 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (pow.f32 (sqrt.f32 -2) 2) (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (*.f32 2 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 -1 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (pow.f32 (sqrt.f32 -2) 2) (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (*.f32 2 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 -1 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (pow.f32 (sqrt.f32 -2) 2) (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (*.f32 2 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))

localize79.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f32 (PI.f32) (*.f32 u2 2))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3))
0.7b
(pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3)
1.8b
(pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3)
Compiler

Compiled 71 to 43 computations (39.4% saved)

series17.0ms (0.1%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
4.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3))
3.0ms
u2
@0
(pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3)
2.0ms
u2
@-inf
(pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3)
2.0ms
u2
@inf
(pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3)
2.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3))

rewrite68.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
651×log-prod_binary32
465×prod-diff_binary32
337×pow2_binary32
278×pow-unpow_binary32
238×expm1-udef_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01744
135940
2387040
Stop Event
node limit
Counts
3 → 64
Calls
Call 1
Inputs
(pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3)
(pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (cos.f32 1)) (*.f32 (cos.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (sin.f32 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/3) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)) (*.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3/2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2) 1) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2))) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 3 (log.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))) 1))))))

simplify68.0ms (0.4%)

Algorithm
egg-herbie
Rules
820×times-frac_binary32
544×associate-/l*_binary32
456×distribute-rgt-in_binary32
454×distribute-lft-in_binary32
389×associate-/r*_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01982165
16351952
225581826
Stop Event
node limit
Counts
108 → 110
Calls
Call 1
Inputs
(*.f32 2 (*.f32 u2 (PI.f32)))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 1/12 (/.f32 (*.f32 (pow.f32 u2 3) (+.f32 (*.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5)))) (pow.f32 (PI.f32) 2))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 1/12 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 16/15 (pow.f32 (PI.f32) 7)) (+.f32 (*.f32 64/9 (pow.f32 (PI.f32) 7)) (*.f32 2 (*.f32 (+.f32 (*.f32 16/9 (pow.f32 (PI.f32) 6)) (*.f32 16/15 (pow.f32 (PI.f32) 6))) (PI.f32))))) (*.f32 1/24 (/.f32 (pow.f32 (+.f32 (*.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5))) 2) (pow.f32 (PI.f32) 3)))) (pow.f32 u2 5)) (pow.f32 (PI.f32) 2))) (*.f32 1/12 (/.f32 (*.f32 (pow.f32 u2 3) (+.f32 (*.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5)))) (pow.f32 (PI.f32) 2)))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 1/12 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 16/15 (pow.f32 (PI.f32) 7)) (+.f32 (*.f32 64/9 (pow.f32 (PI.f32) 7)) (*.f32 2 (*.f32 (+.f32 (*.f32 16/9 (pow.f32 (PI.f32) 6)) (*.f32 16/15 (pow.f32 (PI.f32) 6))) (PI.f32))))) (*.f32 1/24 (/.f32 (pow.f32 (+.f32 (*.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5))) 2) (pow.f32 (PI.f32) 3)))) (pow.f32 u2 5)) (pow.f32 (PI.f32) 2))) (+.f32 (*.f32 1/12 (/.f32 (*.f32 (pow.f32 u2 3) (+.f32 (*.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5)))) (pow.f32 (PI.f32) 2))) (*.f32 1/12 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 -4/3 (*.f32 (+.f32 (*.f32 16/9 (pow.f32 (PI.f32) 6)) (*.f32 16/15 (pow.f32 (PI.f32) 6))) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 -64/45 (pow.f32 (PI.f32) 9)) (+.f32 (*.f32 -32/315 (pow.f32 (PI.f32) 9)) (*.f32 2 (*.f32 (+.f32 (*.f32 -32/315 (pow.f32 (PI.f32) 8)) (*.f32 -32/45 (pow.f32 (PI.f32) 8))) (PI.f32)))))) (+.f32 (*.f32 1/12 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 16/15 (pow.f32 (PI.f32) 7)) (+.f32 (*.f32 64/9 (pow.f32 (PI.f32) 7)) (*.f32 2 (*.f32 (+.f32 (*.f32 16/9 (pow.f32 (PI.f32) 6)) (*.f32 16/15 (pow.f32 (PI.f32) 6))) (PI.f32))))) (*.f32 1/24 (/.f32 (pow.f32 (+.f32 (*.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5))) 2) (pow.f32 (PI.f32) 3)))) (+.f32 (*.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5)))) (pow.f32 (PI.f32) 3))) (*.f32 1/1728 (/.f32 (pow.f32 (+.f32 (*.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5))) 3) (pow.f32 (PI.f32) 6))))) (pow.f32 u2 7)) (pow.f32 (PI.f32) 2))))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(+.f32 (*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 (pow.f32 u2 5) (+.f32 (*.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5)))))
(+.f32 (*.f32 (+.f32 (*.f32 16/15 (pow.f32 (PI.f32) 7)) (+.f32 (*.f32 64/9 (pow.f32 (PI.f32) 7)) (*.f32 2 (*.f32 (+.f32 (*.f32 16/9 (pow.f32 (PI.f32) 6)) (*.f32 16/15 (pow.f32 (PI.f32) 6))) (PI.f32))))) (pow.f32 u2 7)) (+.f32 (*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 (pow.f32 u2 5) (+.f32 (*.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5))))))
(+.f32 (*.f32 (pow.f32 u2 9) (+.f32 (*.f32 -4/3 (*.f32 (+.f32 (*.f32 16/9 (pow.f32 (PI.f32) 6)) (*.f32 16/15 (pow.f32 (PI.f32) 6))) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 -64/45 (pow.f32 (PI.f32) 9)) (+.f32 (*.f32 -32/315 (pow.f32 (PI.f32) 9)) (*.f32 2 (*.f32 (+.f32 (*.f32 -32/315 (pow.f32 (PI.f32) 8)) (*.f32 -32/45 (pow.f32 (PI.f32) 8))) (PI.f32))))))) (+.f32 (*.f32 (+.f32 (*.f32 16/15 (pow.f32 (PI.f32) 7)) (+.f32 (*.f32 64/9 (pow.f32 (PI.f32) 7)) (*.f32 2 (*.f32 (+.f32 (*.f32 16/9 (pow.f32 (PI.f32) 6)) (*.f32 16/15 (pow.f32 (PI.f32) 6))) (PI.f32))))) (pow.f32 u2 7)) (+.f32 (*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 (pow.f32 u2 5) (+.f32 (*.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5)))))))
(pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)
(pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)
(pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)
(pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)
(pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)
(pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)
(pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)
(pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -8/315 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
Outputs
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 (PI.f32) 2))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 1/12 (/.f32 (*.f32 (pow.f32 u2 3) (+.f32 (*.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5)))) (pow.f32 (PI.f32) 2))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (*.f32 1/12 (/.f32 (pow.f32 u2 3) (/.f32 (pow.f32 (PI.f32) 2) (*.f32 (pow.f32 (PI.f32) 5) -16)))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (*.f32 1/12 (*.f32 (/.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 2)) (*.f32 (pow.f32 (PI.f32) 5) -16))))
(fma.f32 1/12 (/.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) 5) (pow.f32 u2 3)) -16) (pow.f32 (PI.f32) 2)) (*.f32 u2 (*.f32 (PI.f32) 2)))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 1/12 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 16/15 (pow.f32 (PI.f32) 7)) (+.f32 (*.f32 64/9 (pow.f32 (PI.f32) 7)) (*.f32 2 (*.f32 (+.f32 (*.f32 16/9 (pow.f32 (PI.f32) 6)) (*.f32 16/15 (pow.f32 (PI.f32) 6))) (PI.f32))))) (*.f32 1/24 (/.f32 (pow.f32 (+.f32 (*.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5))) 2) (pow.f32 (PI.f32) 3)))) (pow.f32 u2 5)) (pow.f32 (PI.f32) 2))) (*.f32 1/12 (/.f32 (*.f32 (pow.f32 u2 3) (+.f32 (*.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5)))) (pow.f32 (PI.f32) 2)))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (*.f32 1/12 (+.f32 (/.f32 (+.f32 (fma.f32 16/15 (pow.f32 (PI.f32) 7) (fma.f32 64/9 (pow.f32 (PI.f32) 7) (*.f32 2 (*.f32 (PI.f32) (*.f32 (pow.f32 (PI.f32) 6) 128/45))))) (*.f32 -1/24 (/.f32 (pow.f32 (*.f32 (pow.f32 (PI.f32) 5) -16) 2) (pow.f32 (PI.f32) 3)))) (/.f32 (pow.f32 (PI.f32) 2) (pow.f32 u2 5))) (/.f32 (pow.f32 u2 3) (/.f32 (pow.f32 (PI.f32) 2) (*.f32 (pow.f32 (PI.f32) 5) -16))))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (*.f32 1/12 (+.f32 (*.f32 (/.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 2)) (*.f32 (pow.f32 (PI.f32) 5) -16)) (*.f32 (/.f32 (+.f32 (+.f32 (*.f32 2 (*.f32 (pow.f32 (PI.f32) 6) (*.f32 128/45 (PI.f32)))) (*.f32 (pow.f32 (PI.f32) 7) 368/45)) (/.f32 (*.f32 -1/24 (pow.f32 (*.f32 (pow.f32 (PI.f32) 5) -16) 2)) (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 2)) (pow.f32 u2 5)))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (*.f32 (/.f32 1/12 (PI.f32)) (+.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) 5) (pow.f32 u2 3)) -16) (PI.f32)) (/.f32 (+.f32 (*.f32 (pow.f32 (PI.f32) 7) 368/45) (fma.f32 2 (*.f32 (pow.f32 (PI.f32) 6) (*.f32 128/45 (PI.f32))) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) 10) 256) (pow.f32 (PI.f32) 3)) -1/24))) (/.f32 (PI.f32) (pow.f32 u2 5))))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 1/12 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 16/15 (pow.f32 (PI.f32) 7)) (+.f32 (*.f32 64/9 (pow.f32 (PI.f32) 7)) (*.f32 2 (*.f32 (+.f32 (*.f32 16/9 (pow.f32 (PI.f32) 6)) (*.f32 16/15 (pow.f32 (PI.f32) 6))) (PI.f32))))) (*.f32 1/24 (/.f32 (pow.f32 (+.f32 (*.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5))) 2) (pow.f32 (PI.f32) 3)))) (pow.f32 u2 5)) (pow.f32 (PI.f32) 2))) (+.f32 (*.f32 1/12 (/.f32 (*.f32 (pow.f32 u2 3) (+.f32 (*.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5)))) (pow.f32 (PI.f32) 2))) (*.f32 1/12 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 -4/3 (*.f32 (+.f32 (*.f32 16/9 (pow.f32 (PI.f32) 6)) (*.f32 16/15 (pow.f32 (PI.f32) 6))) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 -64/45 (pow.f32 (PI.f32) 9)) (+.f32 (*.f32 -32/315 (pow.f32 (PI.f32) 9)) (*.f32 2 (*.f32 (+.f32 (*.f32 -32/315 (pow.f32 (PI.f32) 8)) (*.f32 -32/45 (pow.f32 (PI.f32) 8))) (PI.f32)))))) (+.f32 (*.f32 1/12 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 16/15 (pow.f32 (PI.f32) 7)) (+.f32 (*.f32 64/9 (pow.f32 (PI.f32) 7)) (*.f32 2 (*.f32 (+.f32 (*.f32 16/9 (pow.f32 (PI.f32) 6)) (*.f32 16/15 (pow.f32 (PI.f32) 6))) (PI.f32))))) (*.f32 1/24 (/.f32 (pow.f32 (+.f32 (*.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5))) 2) (pow.f32 (PI.f32) 3)))) (+.f32 (*.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5)))) (pow.f32 (PI.f32) 3))) (*.f32 1/1728 (/.f32 (pow.f32 (+.f32 (*.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5))) 3) (pow.f32 (PI.f32) 6))))) (pow.f32 u2 7)) (pow.f32 (PI.f32) 2))))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 1/12 (/.f32 (+.f32 (fma.f32 16/15 (pow.f32 (PI.f32) 7) (fma.f32 64/9 (pow.f32 (PI.f32) 7) (*.f32 2 (*.f32 (PI.f32) (*.f32 (pow.f32 (PI.f32) 6) 128/45))))) (*.f32 -1/24 (/.f32 (pow.f32 (*.f32 (pow.f32 (PI.f32) 5) -16) 2) (pow.f32 (PI.f32) 3)))) (/.f32 (pow.f32 (PI.f32) 2) (pow.f32 u2 5))) (*.f32 1/12 (+.f32 (/.f32 (pow.f32 u2 3) (/.f32 (pow.f32 (PI.f32) 2) (*.f32 (pow.f32 (PI.f32) 5) -16))) (/.f32 (-.f32 (fma.f32 -4/3 (*.f32 (*.f32 (pow.f32 (PI.f32) 6) 128/45) (pow.f32 (PI.f32) 3)) (fma.f32 -64/45 (pow.f32 (PI.f32) 9) (fma.f32 -32/315 (pow.f32 (PI.f32) 9) (*.f32 2 (*.f32 (PI.f32) (*.f32 (pow.f32 (PI.f32) 8) -256/315)))))) (fma.f32 1/12 (/.f32 (+.f32 (fma.f32 16/15 (pow.f32 (PI.f32) 7) (fma.f32 64/9 (pow.f32 (PI.f32) 7) (*.f32 2 (*.f32 (PI.f32) (*.f32 (pow.f32 (PI.f32) 6) 128/45))))) (*.f32 -1/24 (/.f32 (pow.f32 (*.f32 (pow.f32 (PI.f32) 5) -16) 2) (pow.f32 (PI.f32) 3)))) (/.f32 (pow.f32 (PI.f32) 3) (*.f32 (pow.f32 (PI.f32) 5) -16))) (*.f32 1/1728 (/.f32 (pow.f32 (*.f32 (pow.f32 (PI.f32) 5) -16) 3) (pow.f32 (PI.f32) 6))))) (/.f32 (pow.f32 (PI.f32) 2) (pow.f32 u2 7)))))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (*.f32 1/12 (+.f32 (+.f32 (*.f32 (/.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 2)) (*.f32 (pow.f32 (PI.f32) 5) -16)) (*.f32 (/.f32 (+.f32 (+.f32 (*.f32 2 (*.f32 (pow.f32 (PI.f32) 6) (*.f32 128/45 (PI.f32)))) (*.f32 (pow.f32 (PI.f32) 7) 368/45)) (/.f32 (*.f32 -1/24 (pow.f32 (*.f32 (pow.f32 (PI.f32) 5) -16) 2)) (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 2)) (pow.f32 u2 5))) (*.f32 (/.f32 (-.f32 (fma.f32 -4/3 (*.f32 (pow.f32 (PI.f32) 6) (*.f32 128/45 (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 (pow.f32 (PI.f32) 8) -256/315))) (*.f32 (pow.f32 (PI.f32) 9) -32/21))) (fma.f32 1/12 (*.f32 (/.f32 (+.f32 (+.f32 (*.f32 2 (*.f32 (pow.f32 (PI.f32) 6) (*.f32 128/45 (PI.f32)))) (*.f32 (pow.f32 (PI.f32) 7) 368/45)) (/.f32 (*.f32 -1/24 (pow.f32 (*.f32 (pow.f32 (PI.f32) 5) -16) 2)) (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 3)) (*.f32 (pow.f32 (PI.f32) 5) -16)) (*.f32 1/1728 (/.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) 5) 3) -4096) (pow.f32 (PI.f32) 6))))) (pow.f32 (PI.f32) 2)) (pow.f32 u2 7)))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 1/12 (*.f32 (/.f32 (+.f32 (*.f32 (pow.f32 (PI.f32) 7) 368/45) (fma.f32 2 (*.f32 (pow.f32 (PI.f32) 6) (*.f32 128/45 (PI.f32))) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) 10) 256) (pow.f32 (PI.f32) 3)) -1/24))) (pow.f32 (PI.f32) 2)) (pow.f32 u2 5)) (*.f32 (/.f32 1/12 (PI.f32)) (+.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) 5) (pow.f32 u2 3)) -16) (PI.f32)) (/.f32 (-.f32 (fma.f32 -4/3 (*.f32 (pow.f32 (pow.f32 (PI.f32) 3) 3) 128/45) (+.f32 (*.f32 2 (*.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) 8)) -256/315)) (*.f32 (pow.f32 (PI.f32) 9) -32/21))) (fma.f32 1/1728 (/.f32 (pow.f32 (pow.f32 (PI.f32) 5) 3) (/.f32 (pow.f32 (PI.f32) 6) -4096)) (/.f32 1/12 (/.f32 (/.f32 (pow.f32 (PI.f32) 3) (*.f32 (pow.f32 (PI.f32) 5) -16)) (+.f32 (*.f32 (pow.f32 (PI.f32) 7) 368/45) (fma.f32 2 (*.f32 (pow.f32 (PI.f32) 6) (*.f32 128/45 (PI.f32))) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) 10) 256) (pow.f32 (PI.f32) 3)) -1/24))))))) (/.f32 (PI.f32) (pow.f32 u2 7)))))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 (pow.f32 (PI.f32) 3) (*.f32 (pow.f32 u2 3) 8))
(+.f32 (*.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 (pow.f32 u2 5) (+.f32 (*.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5)))))
(fma.f32 8 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (*.f32 (*.f32 (pow.f32 (PI.f32) 5) -16) (pow.f32 u2 5)))
(fma.f32 (*.f32 (pow.f32 (PI.f32) 5) -16) (pow.f32 u2 5) (*.f32 (pow.f32 (PI.f32) 3) (*.f32 (pow.f32 u2 3) 8)))
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(+.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) (+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (*.f32 u1 u1)) (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2))) (/.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3))) (fma.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (*.f32 u1 u1) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)))))))))
(+.f32 (fma.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) u1))))) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1)) (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (-.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) (log.f32 (/.f32 -1 u1))))))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (*.f32 -1/2 (+.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) u1) (*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (pow.f32 u1 3)) (+.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) (log.f32 (/.f32 -1 u1)))))))) (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (*.f32 u1 u1)) (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)))))) (*.f32 (neg.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) (sqrt.f32 -1)))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(fma.f32 2 (*.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (*.f32 -4/3 (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 -1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 -1)) (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 -1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(fma.f32 4/15 (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 (PI.f32) 5) (pow.f32 u2 5)))) (fma.f32 2 (*.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (*.f32 -4/3 (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 -1))))))
(fma.f32 4/15 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (pow.f32 (PI.f32) 5) (*.f32 (pow.f32 u2 5) (sqrt.f32 -1)))) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 -1)) (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 -1))))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 (pow.f32 u2 3) (sqrt.f32 -1)))) (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 4/15 (*.f32 (pow.f32 (PI.f32) 5) (pow.f32 u2 5))) (*.f32 u2 (*.f32 (PI.f32) 2))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -8/315 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(fma.f32 4/15 (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 (PI.f32) 5) (pow.f32 u2 5)))) (fma.f32 2 (*.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (fma.f32 -4/3 (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 -1))) (*.f32 -8/315 (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 (pow.f32 (PI.f32) 7) (pow.f32 u2 7)) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 -1))) (*.f32 -8/315 (*.f32 (pow.f32 (PI.f32) 7) (*.f32 (pow.f32 u2 7) (sqrt.f32 -1)))))) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (*.f32 4/15 (*.f32 (pow.f32 (PI.f32) 5) (*.f32 (pow.f32 u2 5) (sqrt.f32 -1)))) (*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 -1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 -8/315 (*.f32 (pow.f32 (PI.f32) 7) (pow.f32 u2 7))))) (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 4/15 (*.f32 (pow.f32 (PI.f32) 5) (pow.f32 u2 5))) (*.f32 u2 (*.f32 (PI.f32) 2))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))

eval339.0ms (2.1%)

Compiler

Compiled 13988 to 8308 computations (40.6% saved)

prune144.0ms (0.9%)

Pruning

70 alts after pruning (58 fresh and 12 done)

PrunedKeptTotal
New54220562
Fresh133851
Picked101
Done11213
Total55770627
Error
0.1b
Counts
627 → 70
Alt Table
Click to see full alt table
StatusErrorProgram
4.1b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 u1 (+.f32 -3 (*.f32 u1 -3/2)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
15.6b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 3 (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
8.7b
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)))
2.0b
(*.f32 (pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 2) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
0.7b
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
7.9b
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
11.1b
(*.f32 2 (exp.f32 (log.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))))
7.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
3.0b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
2.9b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
14.3b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 3))
4.1b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (+.f32 (*.f32 -3/2 (pow.f32 u1 2)) (*.f32 -3 u1))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
6.2b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 (PI.f32) (sqrt.f32 (+.f32 u2 u2))) (sqrt.f32 (+.f32 u2 u2))))
22.9b
(-.f32 (+.f32 1 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))) 1)
1.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))))) 3))
3.7b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
8.6b
(*.f32 (pow.f32 (pow.f32 (exp.f32 1/2) (cbrt.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log.f32 (log1p.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
7.3b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 u1 -3)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
8.5b
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
2.8b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
6.2b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 (PI.f32) (cbrt.f32 (*.f32 4 (*.f32 u2 u2)))) (cbrt.f32 (+.f32 u2 u2))))
10.6b
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
3.0b
(*.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3) 1/3) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
13.2b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))
12.2b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (log.f32 (exp.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))
11.2b
(exp.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))))
0.9b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
2.9b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.9b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (-.f32 1/4 (*.f32 (*.f32 u1 u1) 1/9)) (*.f32 u1 u1)) (+.f32 -1/2 (*.f32 1/3 u1))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
8.3b
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
15.0b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
6.1b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2)))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
6.1b
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
10.7b
(*.f32 2 (sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
12.1b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
6.1b
(*.f32 u2 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (*.f32 2 (PI.f32))))
8.2b
(*.f32 (*.f32 (pow.f32 (exp.f32 1/3) (log.f32 (log1p.f32 u1))) (pow.f32 (exp.f32 1/6) (log.f32 (log1p.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
6.2b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2))
14.3b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
16.4b
(+.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))) (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))))
15.3b
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
6.2b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 (*.f32 (PI.f32) 2) (sqrt.f32 u2)) (sqrt.f32 u2)))
6.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3))
9.4b
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
11.1b
(+.f32 0 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1)))))
5.5b
(+.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))))
10.7b
(*.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))) 3))
4.0b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 (*.f32 u1 -1/2) -1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
8.3b
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
0.6b
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2))
11.1b
(*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
0.7b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
4.0b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
11.1b
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
3.9b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3) 1/3)))
7.8b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
2.9b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (fma.f32 u1 -3 (*.f32 (*.f32 u1 u1) (-.f32 -3/2 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
20.8b
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
15.3b
(*.f32 (pow.f32 (exp.f32 1/2) (log.f32 (log1p.f32 u1))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
23.4b
(*.f32 2 (-.f32 (+.f32 1 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))) 1))
3.2b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)))
7.2b
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
15.1b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 2))
8.5b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
8.6b
(*.f32 (pow.f32 (exp.f32 1/2) (log.f32 (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
10.7b
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
Compiler

Compiled 1342 to 1108 computations (17.4% saved)

regimes2.5s (15.9%)

Counts
122 → 1
Calls
Call 1
Inputs
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 2 (-.f32 (+.f32 1 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))) 1))
(-.f32 (+.f32 1 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 2 (sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
(sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
(+.f32 0 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 u1 -3)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 (*.f32 u1 -1/2) -1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 u1 (+.f32 -3 (*.f32 u1 -3/2)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (-.f32 1/4 (*.f32 (*.f32 u1 u1) 1/9)) (*.f32 u1 u1)) (+.f32 -1/2 (*.f32 1/3 u1))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 2 (exp.f32 (log.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))))
(*.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))) 3))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))) 3)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(*.f32 u2 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (*.f32 2 (PI.f32))))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (+.f32 (*.f32 -3/2 (pow.f32 u1 2)) (*.f32 -3 u1))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)) (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (fma.f32 u1 -3 (*.f32 (*.f32 u1 u1) (-.f32 -3/2 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 3)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 (*.f32 (PI.f32) 2) (sqrt.f32 u2)) (sqrt.f32 u2)))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 3 (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 (PI.f32) (sqrt.f32 (+.f32 u2 u2))) (sqrt.f32 (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 (PI.f32) (cbrt.f32 (*.f32 4 (*.f32 u2 u2)))) (cbrt.f32 (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3) 1/3)))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)
(*.f32 (pow.f32 (exp.f32 1/2) (log.f32 (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 2)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cbrt.f32 (*.f32 (pow.f32 (*.f32 2 u2) 3) (pow.f32 (PI.f32) 3))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 3))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 2))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
(*.f32 (pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 2) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(*.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3) 1/3) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 2))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3) 1/3))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (log.f32 (exp.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))
(*.f32 (pow.f32 (exp.f32 1/2) (log.f32 (log1p.f32 u1))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))))) 3))
(+.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 u1 (*.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))))
(*.f32 (*.f32 (pow.f32 (exp.f32 1/3) (log.f32 (log1p.f32 u1))) (pow.f32 (exp.f32 1/6) (log.f32 (log1p.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 2))) (*.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) 1/2)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (pow.f32 (exp.f32 1/2) (cbrt.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log.f32 (log1p.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1/6) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1/6) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2))))
(+.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))) (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (pow.f32 (exp.f32 1) (*.f32 2 (log.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))) (pow.f32 (exp.f32 1) (log.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))
Outputs
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
Calls

16 calls:

363.0ms
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
281.0ms
(log.f32 (-.f32 1 u1))
202.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
202.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
197.0ms
(-.f32 1 u1)
Results
ErrorSegmentsBranch
0.6b1cosTheta_i
0.6b1u1
0.6b1u2
0.6b1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.6b1(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
0.6b1(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
0.6b1(neg.f32 (log.f32 (-.f32 1 u1)))
0.6b1(neg.f32 (log.f32 (-.f32 1 u1)))
0.6b1(log.f32 (-.f32 1 u1))
0.6b1(log.f32 (-.f32 1 u1))
0.6b1(-.f32 1 u1)
0.6b1(-.f32 1 u1)
0.6b1(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
0.6b1(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
0.6b1(*.f32 (*.f32 2 (PI.f32)) u2)
0.6b1(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 2073 to 1214 computations (41.4% saved)

regimes716.0ms (4.5%)

Counts
56 → 1
Calls
Call 1
Inputs
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 2 (-.f32 (+.f32 1 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))) 1))
(-.f32 (+.f32 1 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 2 (sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
(sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
(+.f32 0 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 u1 -3)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 (*.f32 u1 -1/2) -1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 u1 (+.f32 -3 (*.f32 u1 -3/2)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (-.f32 1/4 (*.f32 (*.f32 u1 u1) 1/9)) (*.f32 u1 u1)) (+.f32 -1/2 (*.f32 1/3 u1))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 2 (exp.f32 (log.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))))
(*.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))) 3))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))) 3)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(*.f32 u2 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (*.f32 2 (PI.f32))))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (+.f32 (*.f32 -3/2 (pow.f32 u1 2)) (*.f32 -3 u1))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)) (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (fma.f32 u1 -3 (*.f32 (*.f32 u1 u1) (-.f32 -3/2 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 3)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 (*.f32 (PI.f32) 2) (sqrt.f32 u2)) (sqrt.f32 u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
Calls

12 calls:

206.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
71.0ms
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
71.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
59.0ms
cosTheta_i
43.0ms
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
Results
ErrorSegmentsBranch
0.6b1cosTheta_i
0.6b1u1
0.6b1u2
0.6b1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.6b1(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
0.6b1(neg.f32 (log.f32 (-.f32 1 u1)))
0.6b1(log.f32 (-.f32 1 u1))
0.6b1(-.f32 1 u1)
0.6b1(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
0.6b1(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
0.6b1(*.f32 (*.f32 2 (PI.f32)) u2)
0.6b1(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 842 to 531 computations (36.9% saved)

regimes482.0ms (3%)

Counts
32 → 2
Calls
Call 1
Inputs
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 2 (-.f32 (+.f32 1 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))) 1))
(-.f32 (+.f32 1 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 2 (sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
(sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
(+.f32 0 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 u1 -3)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 (*.f32 u1 -1/2) -1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 u1 (+.f32 -3 (*.f32 u1 -3/2)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (-.f32 1/4 (*.f32 (*.f32 u1 u1) 1/9)) (*.f32 u1 u1)) (+.f32 -1/2 (*.f32 1/3 u1))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 2 (exp.f32 (log.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))))
(*.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))) 3))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))) 3)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (*.f32 (PI.f32) (*.f32 2 u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2)))
Calls

7 calls:

194.0ms
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
66.0ms
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
65.0ms
u1
62.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
35.0ms
u2
Results
ErrorSegmentsBranch
2.9b1cosTheta_i
1.4b2u1
1.4b2u2
1.4b3(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
1.4b3(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
1.4b2(*.f32 (*.f32 2 (PI.f32)) u2)
1.4b2(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 450 to 296 computations (34.2% saved)

bsearch1.0ms (0%)

Algorithm
binary-search
Steps
TimeLeftRight
0.0ms
0.042774174362421036
0.058149512857198715
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes288.0ms (1.8%)

Counts
22 → 3
Calls
Call 1
Inputs
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 2 (-.f32 (+.f32 1 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))) 1))
(-.f32 (+.f32 1 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 2 (sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
(sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
(+.f32 0 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 u1 -3)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 (*.f32 u1 -1/2) -1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 u1 (+.f32 -3 (*.f32 u1 -3/2)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 (*.f32 u1 -1/2) -1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Calls

7 calls:

63.0ms
u2
57.0ms
cosTheta_i
31.0ms
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
31.0ms
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
22.0ms
u1
Results
ErrorSegmentsBranch
4.0b1cosTheta_i
2.0b2u1
1.9b2u2
1.9b3(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
1.9b3(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
1.9b2(*.f32 (*.f32 2 (PI.f32)) u2)
1.9b2(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 315 to 214 computations (32.1% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.002917504869401455
0.003441577311605215
0.0ms
-0.07008509337902069
1.6074226394380275e-9
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes313.0ms (2%)

Counts
20 → 2
Calls
Call 1
Inputs
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 2 (-.f32 (+.f32 1 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))) 1))
(-.f32 (+.f32 1 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 2 (sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
(sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
(+.f32 0 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 u1 -3)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Calls

7 calls:

157.0ms
u1
48.0ms
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
30.0ms
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
21.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
20.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
Results
ErrorSegmentsBranch
4.0b1cosTheta_i
2.0b2u1
1.9b2u2
1.9b3(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
1.9b3(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
1.9b2(*.f32 (*.f32 2 (PI.f32)) u2)
1.9b2(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 281 to 188 computations (33.1% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0029175090603530407
0.003441584063693881
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes185.0ms (1.2%)

Counts
18 → 2
Calls
Call 1
Inputs
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 2 (-.f32 (+.f32 1 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))) 1))
(-.f32 (+.f32 1 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 2 (sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
(sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
(+.f32 0 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 1/3 (*.f32 u1 -3)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
Calls

7 calls:

43.0ms
u1
34.0ms
u2
22.0ms
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
20.0ms
cosTheta_i
20.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
Results
ErrorSegmentsBranch
6.1b1cosTheta_i
3.7b2u1
3.0b2u2
3.9b2(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
3.9b2(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
3.0b2(*.f32 (*.f32 2 (PI.f32)) u2)
3.0b2(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 249 to 166 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.013598832301795483
0.015455690212547779
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes103.0ms (0.6%)

Counts
15 → 2
Calls
Call 1
Inputs
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 2 (-.f32 (+.f32 1 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))) 1))
(-.f32 (+.f32 1 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 2 (sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
(sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
(+.f32 0 (*.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
Calls

3 calls:

36.0ms
u2
35.0ms
u1
21.0ms
cosTheta_i
Results
ErrorSegmentsBranch
7.2b1cosTheta_i
5.4b2u1
4.7b2u2
Compiler

Compiled 179 to 113 computations (36.9% saved)

bsearch1.0ms (0%)

Algorithm
binary-search
Steps
TimeLeftRight
0.0ms
0.0006899022264406085
0.0007671704515814781
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes39.0ms (0.2%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 2 (-.f32 (+.f32 1 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))) 1))
(-.f32 (+.f32 1 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
Calls

3 calls:

14.0ms
u2
12.0ms
u1
5.0ms
cosTheta_i
Results
ErrorSegmentsBranch
7.8b1cosTheta_i
7.8b1u1
7.8b1u2
Compiler

Compiled 108 to 73 computations (32.4% saved)

regimes19.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 2 (-.f32 (+.f32 1 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))) 1))
(-.f32 (+.f32 1 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
Calls

3 calls:

7.0ms
u2
5.0ms
cosTheta_i
5.0ms
u1
Results
ErrorSegmentsBranch
8.5b1cosTheta_i
8.5b1u1
8.5b1u2
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes16.0ms (0.1%)

Accuracy

Total -12.8b remaining (-120.1%)

Threshold costs -12.8b (-120.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 2 (-.f32 (+.f32 1 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))) 1))
(-.f32 (+.f32 1 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))) 1)
Outputs
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
Calls

3 calls:

5.0ms
u1
4.0ms
u2
4.0ms
cosTheta_i
Results
ErrorSegmentsBranch
10.6b1cosTheta_i
10.6b1u1
10.6b1u2
Compiler

Compiled 65 to 45 computations (30.8% saved)

simplify32.0ms (0.2%)

Algorithm
egg-herbie
Rules
54×distribute-rgt-neg-in_binary32
43×cancel-sign-sub-inv_binary32
42×distribute-lft-neg-in_binary32
41×*-commutative_binary32
39×neg-sub0_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
079429
1129429
2166421
3223415
4277415
5365415
6459415
7514415
8532415
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 u1 13421773/268435456) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2))))
(if (<=.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) -13421773/268435456) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 (*.f32 u1 -1/2) -1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (if (<=.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) 6442451/2147483648) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))))
(if (<=.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 6442451/2147483648) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 16106127/1073741824) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(if (<=.f32 u2 3006477/4294967296) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
Outputs
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(if (<=.f32 u1 13421773/268435456) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2))))
(if (<=.f32 u1 13421773/268435456) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2))))
(if (<=.f32 u1 13421773/268435456) (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 (*.f32 u1 (neg.f32 u1)) (+.f32 -1/2 (*.f32 u1 -1/3))))) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2))))
(if (<=.f32 u1 13421773/268435456) (*.f32 (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))))) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2))))
(if (<=.f32 u1 13421773/268435456) (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 1/2 (*.f32 u1 1/3))))) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2))))
(if (<=.f32 u1 13421773/268435456) (*.f32 (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (-.f32 -1/2 (*.f32 u1 1/3))))) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2))))
(if (<=.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) -13421773/268435456) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 (*.f32 u1 -1/2) -1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (if (<=.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) 6442451/2147483648) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))))
(if (<=.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) -13421773/268435456) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (*.f32 (neg.f32 u1) (+.f32 (*.f32 u1 -1/2) -1)))) (if (<=.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 6442451/2147483648) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))))))
(if (<=.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) -13421773/268435456) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (*.f32 u1 (+.f32 (*.f32 u1 1/2) 1)))) (if (<=.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 6442451/2147483648) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 u1 (*.f32 u1 (*.f32 u1 1/2)))))))
(if (<=.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) -13421773/268435456) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (*.f32 u1 (+.f32 (*.f32 u1 1/2) 1)))) (if (<=.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 6442451/2147483648) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 -1/2)))))))
(if (<=.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) -13421773/268435456) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (*.f32 u1 (-.f32 1 (*.f32 u1 -1/2))))) (if (<=.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 6442451/2147483648) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 -1/2)))))))
(if (<=.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 6442451/2147483648) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 6442451/2147483648) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1)))))
(if (<=.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 6442451/2147483648) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 u1 (*.f32 u1 (*.f32 u1 1/2))))))
(if (<=.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 6442451/2147483648) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 -1/2))))))
(if (<=.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 16106127/1073741824) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(if (<=.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 16106127/1073741824) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 u2 3006477/4294967296) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(if (<=.f32 u2 3006477/4294967296) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 u2 3006477/4294967296) (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 (*.f32 u1 (neg.f32 u1)) (+.f32 -1/2 (*.f32 u1 -1/3))))) (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 u2 3006477/4294967296) (*.f32 (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))))) (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 u2 3006477/4294967296) (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 1/2 (*.f32 u1 1/3))))) (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 u2 3006477/4294967296) (*.f32 (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (-.f32 -1/2 (*.f32 u1 1/3))))) (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (+.f32 u1 (*.f32 (*.f32 u1 (neg.f32 u1)) (+.f32 -1/2 (*.f32 u1 -1/3))))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (+.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 1/2 (*.f32 u1 1/3))))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (-.f32 -1/2 (*.f32 u1 1/3))))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) -1/2) u1))))
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (+.f32 u1 (*.f32 (*.f32 u1 u1) 1/2))))
(*.f32 u2 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
Compiler

Compiled 284 to 218 computations (23.2% saved)

soundness82.0ms (0.5%)

Algorithm
egg-herbie
Rules
690×fma-def_binary32
537×div-sub_binary32
489×associate-*r*_binary32
480×associate-*l*_binary32
224×*-commutative_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01471742
14711332
215911176
373611176
Stop Event
node limit
Compiler

Compiled 127 to 106 computations (16.5% saved)

end358.0ms (2.2%)

Compiler

Compiled 257 to 157 computations (38.9% saved)

Profiling

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