Details

Time bar (total: 13.9s)

analyze356.0ms (2.6%)

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

Compiled 37 to 28 computations (24.3% saved)

sample2.6s (18.6%)

Results
2.6s8256×body256valid
1.0ms4×body256precondition
Bogosity

preprocess51.0ms (0.4%)

Algorithm
2×egg-herbie
Rules
33×sub-neg_binary32
24×fma-def_binary32
21×+-commutative_binary32
13×*-commutative_binary32
12×div-sub_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02568
14068
25068
36668
48668
511268
614368
719068
823468
924368
1024668
033
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 cosTheta_i)))
(*.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (sin.f32 (*.f32 314159265359/50000000000 u1)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 cosTheta_i)))
(*.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (sin.f32 (*.f32 314159265359/50000000000 u1)))
(*.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (sin.f32 (*.f32 u1 314159265359/50000000000)))
Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify20.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
11×sub-neg_binary32
7×+-commutative_binary32
6×fma-def_binary32
4×*-commutative_binary32
4×div-sub_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01117
11717
22117
32717
43517
54517
65817
77617
88917
99217
109317
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))

eval1.0ms (0%)

Compiler

Compiled 14 to 11 computations (21.4% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.5b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Compiler

Compiled 14 to 11 computations (21.4% saved)

localize104.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f32 u1 (-.f32 1 u1))
✓0.2b
(sin.f32 (*.f32 314159265359/50000000000 u2))
✓0.3b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
✓0.4b
(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 39 to 27 computations (30.8% saved)

series23.0ms (0.2%)

Counts
4 → 36
Calls

15 calls:

TimeVariablePointExpression
4.0ms
u1
@-inf
(/.f32 u1 (-.f32 1 u1))
3.0ms
u1
@0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
3.0ms
u2
@0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
2.0ms
u1
@inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
2.0ms
u2
@inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))

rewrite127.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
532×log-prod_binary32
403×exp-prod_binary32
324×pow-prod-down_binary32
286×pow2_binary32
271×prod-diff_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01134
122834
2284234
Stop Event
1×node limit
Counts
4 → 138
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 u2)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(/.f32 u1 (-.f32 1 u1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 2)) (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))) (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sin.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (cos.f32 1)) (*.f32 (cos.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (sin.f32 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2) (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)) (cbrt.f32 (log.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))) (sqrt.f32 (log.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 u1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u1 (/.f32 1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 u1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u1 (-.f32 1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 u1) 2) (*.f32 (cbrt.f32 u1) (/.f32 1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) (/.f32 1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 u1) (/.f32 1 (neg.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 1 u1)) u1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4) (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (-.f32 1 u1) -1/2) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) -2) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 5/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (-.f32 1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 (/.f32 1 u1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 (/.f32 1 u1) 1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 u1 (neg.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (-.f32 (/.f32 1 u1) 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 2))))))

simplify121.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
685×distribute-rgt-out_binary32
633×associate-/l/_binary32
489×fma-def_binary32
371×associate-/r/_binary32
308×times-frac_binary32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0103875
1307810
2971739
33687647
46819637
Stop Event
1×node limit
Counts
174 → 181
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 u2)
(+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
Outputs
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))))
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(+.f32 (*.f32 u1 u1) (+.f32 (+.f32 u1 (pow.f32 u1 3)) (pow.f32 u1 4)))
(+.f32 (+.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1))) (pow.f32 u1 4))
(*.f32 (fma.f32 u1 u1 1) (fma.f32 u1 u1 u1))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(+.f32 -1 (/.f32 -1 u1))
(-.f32 -1 (/.f32 1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(+.f32 -1 (neg.f32 (+.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))) (/.f32 1 u1))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (+.f32 -1 (/.f32 -1 u1)) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))))
(+.f32 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1))) (+.f32 -1 (/.f32 -1 (pow.f32 u1 3))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(+.f32 -1 (/.f32 -1 u1))
(-.f32 -1 (/.f32 1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(+.f32 -1 (neg.f32 (+.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))) (/.f32 1 u1))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (+.f32 -1 (/.f32 -1 u1)) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))))
(+.f32 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1))) (+.f32 -1 (/.f32 -1 (pow.f32 u1 3))))

eval85.0ms (0.6%)

Compiler

Compiled 3176 to 2493 computations (21.5% saved)

prune131.0ms (0.9%)

Pruning

29 alts after pruning (28 fresh and 1 done)

PrunedKeptTotal
New15328181
Fresh000
Picked011
Done000
Total15329182
Error
0.0b
Counts
182 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
1.3b
(*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.5b
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
13.8b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
1.4b
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
1.8b
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
1.1b
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 5/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.9b
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)
▶4.9b
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
3.1b
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
12.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
5.5b
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
3.0b
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
8.9b
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
▶5.6b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
0.6b
(*.f32 (sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
14.7b
(*.f32 (sqrt.f32 (+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.6b
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
19.5b
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 1)
▶0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
▶1.2b
(*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.7b
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.6b
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (-.f32 1 u1) -1/2) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
1.7b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))
3.1b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
▶1.7b
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)
0.5b
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
3.3b
(pow.f32 (E.f32) (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
0.8b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))
Compiler

Compiled 1070 to 857 computations (19.9% saved)

localize102.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f32 u1 (-.f32 1 u1))
✓0.2b
(sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
✓0.3b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
✓0.4b
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
Compiler

Compiled 56 to 33 computations (41.1% saved)

series5.0ms (0%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
1.0ms
u2
@0
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
1.0ms
u2
@inf
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
1.0ms
u2
@-inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
0.0ms
u1
@0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))

rewrite83.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
629×log-prod_binary32
401×pow-prod-down_binary32
346×prod-diff_binary32
326×pow2_binary32
236×pow-unpow_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01340
127130
2333530
Stop Event
1×node limit
Counts
3 → 62
Calls
Call 1
Inputs
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (*.f32 u2 314159265359/50000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 314159265359/50000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sin.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000)))) (cos.f32 1)) (*.f32 (cos.f32 (exp.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000)))) (sin.f32 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sin.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) 2) (cbrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) 1))))))

simplify77.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
627×associate-/l/_binary32
617×distribute-rgt-out_binary32
544×distribute-lft-in_binary32
477×distribute-rgt-in_binary32
422×fma-def_binary32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
091857
1264810
2795746
33237654
45773644
Stop Event
1×node limit
Counts
106 → 102
Calls
Call 1
Inputs
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 u2)
(+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 -314159265359/50000000000 u2))
(sin.f32 (*.f32 -314159265359/50000000000 u2))
(sin.f32 (*.f32 -314159265359/50000000000 u2))
(sin.f32 (*.f32 -314159265359/50000000000 u2))
Outputs
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
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(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))))
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(fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 u2 314159265359/50000000000 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(fma.f32 u2 314159265359/50000000000 (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 u2 314159265359/50000000000 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(sin.f32 (*.f32 -314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 -314159265359/50000000000))
(sin.f32 (*.f32 -314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 -314159265359/50000000000))
(sin.f32 (*.f32 -314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 -314159265359/50000000000))
(sin.f32 (*.f32 -314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 -314159265359/50000000000))

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 39 to 26 computations (33.3% saved)

series11.0ms (0.1%)

Counts
3 → 24
Calls

15 calls:

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

rewrite73.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
508×log-prod_binary32
383×exp-prod_binary32
313×pow-prod-down_binary32
263×pow2_binary32
187×pow-unpow_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
121136
2266936
Stop Event
1×node limit
Counts
3 → 96
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) (/.f32 u1 (-.f32 1 u1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))) 2)) (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))))) (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 u1) u2) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u2 (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 2)) (cbrt.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (sqrt.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1/2) (log.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (cbrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 1/4 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 1))))))

simplify71.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
517×associate-/r/_binary32
498×times-frac_binary32
464×fma-def_binary32
327×associate-/r*_binary32
312×distribute-rgt-out_binary32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
091766
1296747
2998654
34240600
46662598
Stop Event
1×node limit
Counts
120 → 135
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/100000000000 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 -314159265359/100000000000 (/.f32 (*.f32 u2 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/100000000000 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (*.f32 314159265359/100000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 314159265359/100000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)) (*.f32 942477796077/400000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2)))))
(+.f32 (*.f32 314159265359/160000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3))) (+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 314159265359/100000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)) (*.f32 942477796077/400000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))))))
(*.f32 (sqrt.f32 -1) u2)
(+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2)))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 u2 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 (sqrt.f32 -1) u2))))
(*.f32 (sqrt.f32 -1) u2)
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)) (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) u2)))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) u2))))
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
Outputs
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2) (/.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 (sqrt.f32 -1) u1)))
(fma.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2) (*.f32 -314159265359/100000000000 (/.f32 (/.f32 u2 u1) (sqrt.f32 -1))))
(*.f32 u2 (+.f32 (*.f32 314159265359/50000000000 (sqrt.f32 -1)) (/.f32 -314159265359/100000000000 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/100000000000 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(fma.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2) (*.f32 -314159265359/100000000000 (+.f32 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1)) (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 u2 (*.f32 u1 u1))))))
(fma.f32 -314159265359/100000000000 (+.f32 (/.f32 (/.f32 u2 u1) (sqrt.f32 -1)) (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (/.f32 u2 u1) u1))) (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)))
(fma.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2) (*.f32 (/.f32 -314159265359/100000000000 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (/.f32 (fma.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2) (*.f32 u1 u1)))))
(fma.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2) (*.f32 (/.f32 -314159265359/100000000000 (*.f32 (sqrt.f32 -1) u1)) (+.f32 u2 (/.f32 (fma.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2) u1))))
(+.f32 (*.f32 -314159265359/100000000000 (/.f32 (*.f32 u2 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/100000000000 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(fma.f32 -314159265359/100000000000 (*.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (pow.f32 u1 3))) (fma.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2) (*.f32 -314159265359/100000000000 (+.f32 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1)) (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 u2 (*.f32 u1 u1)))))))
(fma.f32 -314159265359/100000000000 (/.f32 (fma.f32 u2 (/.f32 (+.f32 1/2 (*.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) 1/2)) -1) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (fma.f32 -314159265359/100000000000 (+.f32 (/.f32 (/.f32 u2 u1) (sqrt.f32 -1)) (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (/.f32 u2 u1) u1))) (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2))))
(fma.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2) (fma.f32 -314159265359/100000000000 (/.f32 (fma.f32 u2 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 (/.f32 -314159265359/100000000000 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (/.f32 (fma.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2) (*.f32 u1 u1))))))
(fma.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2) (*.f32 (/.f32 -314159265359/100000000000 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (*.f32 (/.f32 u2 (*.f32 u1 u1)) (+.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (+.f32 1/2 (*.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) u1))))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (*.f32 314159265359/100000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)))
(fma.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2) (*.f32 314159265359/100000000000 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2))))
(fma.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2) (*.f32 314159265359/100000000000 (*.f32 (/.f32 (sqrt.f32 -1) u1) u2)))
(fma.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2) (*.f32 314159265359/100000000000 (*.f32 (/.f32 u2 u1) (sqrt.f32 -1))))
(*.f32 (*.f32 (sqrt.f32 -1) u2) (+.f32 314159265359/50000000000 (/.f32 314159265359/100000000000 u1)))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 314159265359/100000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)) (*.f32 942477796077/400000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2)))))
(fma.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2) (fma.f32 314159265359/100000000000 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (*.f32 942477796077/400000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) (*.f32 u1 u1)))))
(fma.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2) (fma.f32 314159265359/100000000000 (*.f32 (/.f32 (sqrt.f32 -1) u1) u2) (*.f32 942477796077/400000000000 (*.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 u2 u1)))))
(fma.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2) (*.f32 (*.f32 (/.f32 u2 u1) (sqrt.f32 -1)) (+.f32 314159265359/100000000000 (/.f32 942477796077/400000000000 u1))))
(+.f32 (*.f32 314159265359/160000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3))) (+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 314159265359/100000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)) (*.f32 942477796077/400000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))))))
(fma.f32 314159265359/160000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3)) (fma.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2) (fma.f32 314159265359/100000000000 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (*.f32 942477796077/400000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) (*.f32 u1 u1))))))
(fma.f32 314159265359/160000000000 (/.f32 u2 (/.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2) (fma.f32 314159265359/100000000000 (*.f32 (/.f32 (sqrt.f32 -1) u1) u2) (*.f32 942477796077/400000000000 (*.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 u2 u1))))))
(fma.f32 314159265359/160000000000 (*.f32 (/.f32 u2 (pow.f32 u1 3)) (sqrt.f32 -1)) (fma.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2) (*.f32 (*.f32 (/.f32 u2 u1) (sqrt.f32 -1)) (+.f32 314159265359/100000000000 (/.f32 942477796077/400000000000 u1)))))
(fma.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2) (*.f32 (*.f32 (/.f32 u2 u1) (sqrt.f32 -1)) (+.f32 314159265359/100000000000 (+.f32 (/.f32 314159265359/160000000000 (*.f32 u1 u1)) (/.f32 942477796077/400000000000 u1)))))
(*.f32 (sqrt.f32 -1) u2)
(+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2))
(fma.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1)) (*.f32 (sqrt.f32 -1) u2))
(fma.f32 (sqrt.f32 -1) u2 (*.f32 (/.f32 (/.f32 u2 u1) (sqrt.f32 -1)) -1/2))
(*.f32 u2 (+.f32 (sqrt.f32 -1) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2)))
(fma.f32 -1/2 (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 u2 (*.f32 u1 u1))) (fma.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1)) (*.f32 (sqrt.f32 -1) u2)))
(fma.f32 -1/2 (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (/.f32 u2 u1) u1)) (fma.f32 (sqrt.f32 -1) u2 (*.f32 (/.f32 (/.f32 u2 u1) (sqrt.f32 -1)) -1/2)))
(fma.f32 (sqrt.f32 -1) u2 (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (/.f32 (fma.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2) (*.f32 u1 u1)))))
(fma.f32 (sqrt.f32 -1) u2 (*.f32 (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1)) (+.f32 (/.f32 (fma.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2) u1) u2)))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 u2 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 (sqrt.f32 -1) u2))))
(fma.f32 -1/2 (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 u2 (*.f32 u1 u1))) (fma.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (*.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (pow.f32 u1 3))) (*.f32 (sqrt.f32 -1) u2))))
(fma.f32 -1/2 (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (/.f32 u2 u1) u1)) (fma.f32 (/.f32 (/.f32 u2 u1) (sqrt.f32 -1)) -1/2 (fma.f32 -1/2 (/.f32 (fma.f32 u2 (/.f32 (+.f32 1/2 (*.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) 1/2)) -1) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 (sqrt.f32 -1) u2))))
(fma.f32 -1/2 (/.f32 (fma.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) u2 (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (/.f32 (fma.f32 u2 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) u2) (pow.f32 u1 3))))))
(+.f32 (*.f32 (sqrt.f32 -1) u2) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (*.f32 (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1) 1) (/.f32 u2 u1)) (/.f32 (fma.f32 u2 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) u2) (pow.f32 u1 3)))))
(*.f32 (sqrt.f32 -1) u2)
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)) (*.f32 (sqrt.f32 -1) u2))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (*.f32 (sqrt.f32 -1) u2))
(fma.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) u2) (*.f32 (sqrt.f32 -1) u2))
(fma.f32 (sqrt.f32 -1) u2 (*.f32 1/2 (*.f32 (/.f32 u2 u1) (sqrt.f32 -1))))
(*.f32 u2 (*.f32 (+.f32 (/.f32 1/2 u1) 1) (sqrt.f32 -1)))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) u2)))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (fma.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) u2) (*.f32 u1 u1)) (*.f32 (sqrt.f32 -1) u2)))
(fma.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) u2) (fma.f32 (sqrt.f32 -1) u2 (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 u2 u1)) 3/8)))
(fma.f32 (sqrt.f32 -1) u2 (*.f32 (*.f32 (/.f32 u2 u1) (sqrt.f32 -1)) (+.f32 (/.f32 3/8 u1) 1/2)))
(fma.f32 (sqrt.f32 -1) u2 (*.f32 (*.f32 (/.f32 u2 u1) (sqrt.f32 -1)) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) u2))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (fma.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3)) (fma.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) u2) (*.f32 u1 u1)) (*.f32 (sqrt.f32 -1) u2))))
(fma.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) u2) (fma.f32 (/.f32 u2 (/.f32 (pow.f32 u1 3) (sqrt.f32 -1))) 5/16 (fma.f32 (sqrt.f32 -1) u2 (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 u2 u1)) 3/8))))
(fma.f32 1/2 (*.f32 (/.f32 u2 u1) (sqrt.f32 -1)) (fma.f32 (sqrt.f32 -1) u2 (*.f32 (*.f32 u2 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (+.f32 3/8 (/.f32 5/16 u1)))))
(+.f32 (*.f32 (sqrt.f32 -1) u2) (*.f32 (*.f32 (/.f32 u2 u1) (sqrt.f32 -1)) (+.f32 (/.f32 3/8 u1) (+.f32 1/2 (/.f32 5/16 (*.f32 u1 u1))))))
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)))
(-.f32 (sqrt.f32 -1) (/.f32 (/.f32 1/2 (sqrt.f32 -1)) u1))
(+.f32 (sqrt.f32 -1) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1)))
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (sqrt.f32 -1)) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (sqrt.f32 -1)) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1))))
(+.f32 (sqrt.f32 -1) (*.f32 (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1) 1) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1))))
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (sqrt.f32 -1))) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (sqrt.f32 -1))) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (+.f32 (sqrt.f32 -1) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1))) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1)) (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) (pow.f32 u1 3)))))
(+.f32 (+.f32 (sqrt.f32 -1) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1))) (*.f32 (/.f32 -1/2 (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (+.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (+.f32 1/2 (*.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) u1))))
(+.f32 (sqrt.f32 -1) (fma.f32 (/.f32 -1/2 (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (+.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (+.f32 1/2 (*.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) u1)) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (/.f32 (*.f32 1/2 (sqrt.f32 -1)) u1))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))
(*.f32 (+.f32 (/.f32 1/2 u1) 1) (sqrt.f32 -1))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (/.f32 (*.f32 1/2 (sqrt.f32 -1)) u1)))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 3/8 u1) 1/2)))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (/.f32 (*.f32 1/2 (sqrt.f32 -1)) u1))))
(+.f32 (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (sqrt.f32 -1)))
(+.f32 (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 3/8 u1) 1/2)))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 3/8 u1) (+.f32 1/2 (/.f32 5/16 (*.f32 u1 u1))))))

localize73.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(sqrt.f32 (fma.f32 u1 u1 u1))
0.2b
(sin.f32 (*.f32 314159265359/50000000000 u2))
✓0.3b
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.4b
(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 32 to 15 computations (53.1% saved)

series6.0ms (0%)

Counts
2 → 28
Calls

9 calls:

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

rewrite74.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
805×pow1_binary32
741×add-log-exp_binary32
741×log1p-expm1-u_binary32
741×expm1-log1p-u_binary32
724×add-exp-log_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0922
117820
2203120
Stop Event
1×node limit
Counts
2 → 34
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(sqrt.f32 (fma.f32 u1 u1 u1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (hypot.f32 u1 (sqrt.f32 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (fma.f32 u1 u1 u1) 3/2) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (fma.f32 u1 u1 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (hypot.f32 u1 (sqrt.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (hypot.f32 u1 (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))) (cbrt.f32 (fma.f32 u1 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (fma.f32 u1 u1 u1) 1/4) (pow.f32 (fma.f32 u1 u1 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (hypot.f32 u1 (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 u1 u1 u1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (hypot.f32 u1 (sqrt.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 u1 u1 u1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 u1 u1 u1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (hypot.f32 u1 (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (hypot.f32 u1 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 u1 u1 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f32 u1 (sqrt.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (hypot.f32 u1 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (hypot.f32 u1 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (hypot.f32 u1 (sqrt.f32 u1))))))))

simplify82.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
868×fma-def_binary32
351×*-commutative_binary32
296×times-frac_binary32
285×associate-/r*_binary32
283×cancel-sign-sub-inv_binary32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
076589
1216537
2530459
31353422
43626410
57157410
Stop Event
1×node limit
Counts
62 → 74
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
(+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (+.f32 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/8 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))))
(+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (+.f32 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 1/16 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 2))) (*.f32 -1/8 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)))))
(*.f32 -1 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))
(+.f32 (*.f32 -1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)))
(+.f32 (*.f32 -1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 1/8 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)) (*.f32 -1 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))))
(+.f32 (*.f32 -1/16 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 2))) (+.f32 (*.f32 -1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 1/8 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)) (*.f32 -1 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (pow.f32 u2 3))) (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)))
(+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (pow.f32 u2 5))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (pow.f32 u2 3))) (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))))
(+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (pow.f32 u2 5))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (pow.f32 u2 3))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (pow.f32 u2 7))) (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)))))
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
u1
(+.f32 1/2 u1)
(-.f32 (+.f32 1/2 u1) (*.f32 1/8 (/.f32 1 u1)))
(-.f32 (+.f32 1/2 (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 u1 2))) u1)) (*.f32 1/8 (/.f32 1 u1)))
(*.f32 -1 u1)
(-.f32 (*.f32 -1 u1) 1/2)
(-.f32 (+.f32 (*.f32 -1 u1) (*.f32 1/8 (/.f32 1 u1))) 1/2)
(-.f32 (+.f32 (*.f32 -1 u1) (*.f32 1/8 (/.f32 1 u1))) (+.f32 1/2 (*.f32 1/16 (/.f32 1 (pow.f32 u1 2)))))
Outputs
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
(+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1/2))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 u1 1/2))
(+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (+.f32 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/8 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1 (fma.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1/8 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))))
(+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 u1 1/2)) (*.f32 -1/8 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 u1 1/2) (*.f32 -1/8 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (+.f32 u1 1/2) (/.f32 -1/8 u1)))
(+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (+.f32 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 1/16 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 2))) (*.f32 -1/8 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1 (fma.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2)) (fma.f32 1/16 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1)) (*.f32 -1/8 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)))))
(+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 u1 1/2)) (fma.f32 -1/8 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (*.f32 1/16 (/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) u1))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 u1 1/2) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (+.f32 -1/8 (/.f32 1/16 u1))))
(fma.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (+.f32 -1/8 (/.f32 1/16 u1)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 u1 1/2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (+.f32 u1 1/2) (-.f32 (/.f32 (/.f32 1/16 u1) u1) (/.f32 1/8 u1))))
(*.f32 -1 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))
(neg.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (neg.f32 u1))
(+.f32 (*.f32 -1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)))
(fma.f32 -1/2 (sin.f32 (*.f32 314159265359/50000000000 u2)) (neg.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)))
(-.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) -1/2) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (-.f32 -1/2 u1))
(+.f32 (*.f32 -1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 1/8 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)) (*.f32 -1 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))))
(fma.f32 -1/2 (sin.f32 (*.f32 314159265359/50000000000 u2)) (fma.f32 1/8 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (neg.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))))
(-.f32 (fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) 1/8)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))
(fma.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) 1/8 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (-.f32 -1/2 u1)))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (-.f32 -1/2 u1) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1/8 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)))
(+.f32 (*.f32 -1/16 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 2))) (+.f32 (*.f32 -1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 1/8 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)) (*.f32 -1 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)))))
(fma.f32 -1/16 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1)) (fma.f32 -1/2 (sin.f32 (*.f32 314159265359/50000000000 u2)) (fma.f32 1/8 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (neg.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)))))
(fma.f32 (/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) u1) -1/16 (-.f32 (fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) 1/8)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)))
(fma.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1)) -1/16 (fma.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) 1/8 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (-.f32 -1/2 u1))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (-.f32 -1/2 u1) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (+.f32 (/.f32 -1/16 u1) 1/8)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (/.f32 1/8 u1) (+.f32 (-.f32 -1/2 u1) (/.f32 (/.f32 -1/16 u1) u1))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 (*.f32 314159265359/50000000000 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1)))) u2)
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
(+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (pow.f32 u2 3))) (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)))
(fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (pow.f32 u2 3)) (*.f32 (*.f32 314159265359/50000000000 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1)))) u2))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))) (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 (pow.f32 u2 3) -31006276680305942139213528068663279/750000000000000000000000000000000)))
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (pow.f32 u2 5))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (pow.f32 u2 3))) (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))))
(fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (pow.f32 u2 5)) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (pow.f32 u2 3)) (*.f32 (*.f32 314159265359/50000000000 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1)))) u2)))
(fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (pow.f32 u2 5)) (fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))) (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 (pow.f32 u2 3) -31006276680305942139213528068663279/750000000000000000000000000000000))))
(fma.f32 (hypot.f32 u1 (sqrt.f32 u1)) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (*.f32 314159265359/50000000000 u2))))
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (+.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (+.f32 (*.f32 314159265359/50000000000 u2) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (pow.f32 u2 5))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (pow.f32 u2 3))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (pow.f32 u2 7))) (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)))))
(fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (pow.f32 u2 5)) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (pow.f32 u2 3)) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (pow.f32 u2 7)) (*.f32 (*.f32 314159265359/50000000000 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1)))) u2))))
(fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (pow.f32 u2 5)) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (pow.f32 u2 3)) (fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))) (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 (pow.f32 u2 7) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)))))
(+.f32 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))) (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (+.f32 (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (*.f32 314159265359/50000000000 u2)) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (hypot.f32 u1 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (hypot.f32 u1 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (hypot.f32 u1 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (hypot.f32 u1 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (hypot.f32 u1 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (hypot.f32 u1 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (hypot.f32 u1 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (hypot.f32 u1 (sqrt.f32 u1)))
u1
(+.f32 1/2 u1)
(+.f32 u1 1/2)
(-.f32 (+.f32 1/2 u1) (*.f32 1/8 (/.f32 1 u1)))
(+.f32 1/2 (-.f32 u1 (/.f32 1/8 u1)))
(+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1)))
(+.f32 (+.f32 u1 1/2) (/.f32 -1/8 u1))
(-.f32 (+.f32 1/2 (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 u1 2))) u1)) (*.f32 1/8 (/.f32 1 u1)))
(+.f32 1/2 (-.f32 (+.f32 u1 (/.f32 1/16 (*.f32 u1 u1))) (/.f32 1/8 u1)))
(+.f32 1/2 (+.f32 (/.f32 1/16 (*.f32 u1 u1)) (+.f32 u1 (/.f32 -1/8 u1))))
(+.f32 u1 (+.f32 (+.f32 1/2 (/.f32 1/16 (*.f32 u1 u1))) (/.f32 -1/8 u1)))
(+.f32 (+.f32 (+.f32 u1 1/2) (/.f32 -1/8 u1)) (/.f32 1/16 (*.f32 u1 u1)))
(+.f32 (+.f32 u1 1/2) (-.f32 (/.f32 (/.f32 1/16 u1) u1) (/.f32 1/8 u1)))
(*.f32 -1 u1)
(neg.f32 u1)
(-.f32 (*.f32 -1 u1) 1/2)
(fma.f32 -1 u1 -1/2)
(fma.f32 u1 -1 -1/2)
(-.f32 -1/2 u1)
(-.f32 (+.f32 (*.f32 -1 u1) (*.f32 1/8 (/.f32 1 u1))) 1/2)
(+.f32 (fma.f32 -1 u1 (/.f32 1/8 u1)) -1/2)
(+.f32 -1/2 (-.f32 (/.f32 1/8 u1) u1))
(+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1))
(-.f32 (+.f32 (*.f32 -1 u1) (*.f32 1/8 (/.f32 1 u1))) (+.f32 1/2 (*.f32 1/16 (/.f32 1 (pow.f32 u1 2)))))
(-.f32 (+.f32 (fma.f32 -1 u1 (/.f32 1/8 u1)) -1/2) (/.f32 1/16 (*.f32 u1 u1)))
(-.f32 (+.f32 -1/2 (-.f32 (/.f32 1/8 u1) u1)) (/.f32 1/16 (*.f32 u1 u1)))
(-.f32 (/.f32 1/8 u1) (+.f32 u1 (+.f32 1/2 (/.f32 1/16 (*.f32 u1 u1)))))
(+.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) (/.f32 -1/16 (*.f32 u1 u1)))
(+.f32 (/.f32 1/8 u1) (+.f32 (-.f32 -1/2 u1) (/.f32 (/.f32 -1/16 u1) u1)))

localize107.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(sin.f32 (*.f32 314159265359/50000000000 u2))
✓0.3b
(*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.4b
(*.f32 314159265359/50000000000 u2)
✓1.6b
(exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))
Compiler

Compiled 56 to 40 computations (28.6% saved)

series3.0ms (0%)

Counts
2 → 32
Calls

9 calls:

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

rewrite98.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
569×log-prod_binary32
333×pow-prod-down_binary32
306×pow2_binary32
272×prod-diff_binary32
214×pow1/3_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01324
125224
2301724
Stop Event
1×node limit
Counts
2 → 99
Calls
Call 1
Inputs
(exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 u1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u1 (/.f32 1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 u1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u1 (-.f32 1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u1 u1)) (*.f32 (cbrt.f32 u1) (/.f32 1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) (/.f32 1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 u1) (/.f32 1 (neg.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 1 u1)) u1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (-.f32 1 u1) -1/2) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (*.f32 u1 u1)) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) -2) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (*.f32 u1 u1)) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (*.f32 u1 u1)) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 5/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (E.f32) (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (pow.f32 (E.f32) (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (E.f32) (log.f32 u1)) (pow.f32 (E.f32) (neg.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (E.f32) (log.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2)))) (pow.f32 (E.f32) (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 u1 (-.f32 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (-.f32 (/.f32 1 u1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 (/.f32 1 u1) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cbrt.f32 (*.f32 u1 u1)) (/.f32 (-.f32 1 u1) (cbrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 u1) (neg.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (neg.f32 (-.f32 (/.f32 1 u1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (neg.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 u1 1) (-.f32 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (E.f32) (log.f32 u1)) (pow.f32 (E.f32) (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (E.f32) (exp.f32 (log1p.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))) (E.f32))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (E.f32) (log.f32 (neg.f32 u1))) (pow.f32 (E.f32) (log.f32 (neg.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (-.f32 1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 (/.f32 1 u1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (*.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 (/.f32 1 u1) 1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (E.f32) (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (E.f32) (pow.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (E.f32) (sqrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) 1) (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 2))) (cbrt.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (cbrt.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (cbrt.f32 (sqrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))) (cbrt.f32 (sqrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (sqrt.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))) (sqrt.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) 1) (sqrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (sqrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 2))) (sqrt.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (sqrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))) (sqrt.f32 (sqrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 u1 (neg.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 u1 (-.f32 1 u1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 2))))))

simplify71.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
691×distribute-rgt-out_binary32
639×associate-/l/_binary32
422×fma-def_binary32
371×associate-/r/_binary32
308×times-frac_binary32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
096817
1289760
2922685
33562593
46763583
Stop Event
1×node limit
Counts
131 → 135
Calls
Call 1
Inputs
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
Outputs
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 3)))
(+.f32 (fma.f32 u1 u1 u1) (pow.f32 u1 3))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (*.f32 u1 u1) (+.f32 (+.f32 u1 (pow.f32 u1 3)) (pow.f32 u1 4)))
(+.f32 (+.f32 u1 (pow.f32 u1 3)) (fma.f32 u1 u1 (pow.f32 u1 4)))
(*.f32 (fma.f32 u1 u1 1) (fma.f32 u1 u1 u1))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(-.f32 -1 (/.f32 1 u1))
(+.f32 -1 (/.f32 -1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 (+.f32 -1 (/.f32 -1 u1)) (/.f32 -1 (*.f32 u1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(neg.f32 (+.f32 (+.f32 1 (/.f32 1 (*.f32 u1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
(+.f32 -1 (-.f32 (/.f32 -1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(+.f32 -1 (-.f32 (/.f32 -1 (*.f32 u1 u1)) (-.f32 (/.f32 1 u1) (/.f32 -1 (pow.f32 u1 3)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(-.f32 -1 (/.f32 1 u1))
(+.f32 -1 (/.f32 -1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 (+.f32 -1 (/.f32 -1 u1)) (/.f32 -1 (*.f32 u1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(neg.f32 (+.f32 (+.f32 1 (/.f32 1 (*.f32 u1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
(+.f32 -1 (-.f32 (/.f32 -1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(+.f32 -1 (-.f32 (/.f32 -1 (*.f32 u1 u1)) (-.f32 (/.f32 1 u1) (/.f32 -1 (pow.f32 u1 3)))))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 (sqrt.f32 -1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 (sqrt.f32 -1))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1))) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 (sqrt.f32 -1))) (+.f32 -1/2 (/.f32 -3/8 u1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1/2 (+.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 (sqrt.f32 -1))) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (pow.f32 u1 3)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1/2 (+.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 (sqrt.f32 -1))) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (pow.f32 u1 3)))))))
(fma.f32 -1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 (*.f32 u1 (sqrt.f32 -1))))) (fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (+.f32 -1/2 (*.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2))) (pow.f32 u1 3)))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1)) (+.f32 (/.f32 5/8 u1) 3/4)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 (sqrt.f32 -1))) (+.f32 (/.f32 3/4 u1) (+.f32 (/.f32 5/8 (*.f32 u1 u1)) 1)))))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (/.f32 1/2 u1) 1))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (fma.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 3/8 (*.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (+.f32 1/2 (/.f32 3/8 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (/.f32 1/2 u1) (+.f32 (/.f32 3/8 (*.f32 u1 u1)) 1)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (fma.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3)) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (fma.f32 5/16 (*.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 3/8 (*.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (fma.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (+.f32 3/8 (/.f32 5/16 u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (+.f32 1/2 (+.f32 (/.f32 5/16 (*.f32 u1 u1)) (/.f32 3/8 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5)) (*.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 7)) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5)) (*.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))) (fma.f32 314159265359/50000000000 u2 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

localize124.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(sin.f32 (*.f32 314159265359/50000000000 u2))
0.3b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.4b
(*.f32 314159265359/50000000000 u2)
✓0.5b
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)
Compiler

Compiled 66 to 48 computations (27.3% saved)

series138.0ms (1%)

Counts
1 → 20
Calls

6 calls:

TimeVariablePointExpression
127.0ms
u2
@inf
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)
5.0ms
u2
@0
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)
2.0ms
u1
@0
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)
1.0ms
u1
@inf
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)
1.0ms
u2
@-inf
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)

rewrite64.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
594×log-prod_binary32
377×pow-prod-down_binary32
320×pow2_binary32
271×prod-diff_binary32
224×pow1/3_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01417
129317
2326017
Stop Event
1×node limit
Counts
1 → 34
Calls
Call 1
Inputs
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2) (*.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 1/4) (sqrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 u1 (-.f32 1 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 3/2)) (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2)) (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))) 1/2) (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1))))))

simplify51.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
669×associate-*l/_binary32
615×distribute-rgt-out_binary32
493×associate-/r*_binary32
427×distribute-lft-out_binary32
403×fma-def_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
068721
1206649
2698593
33157486
Stop Event
1×node limit
Counts
54 → 50
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(+.f32 (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (pow.f32 u1 3)))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))
(+.f32 (*.f32 (+.f32 (*.f32 1/16 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (*.f32 5/16 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (pow.f32 u1 2)) (+.f32 (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (pow.f32 u1 3)))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))))
(+.f32 (*.f32 (+.f32 (*.f32 1/16 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (*.f32 5/16 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (pow.f32 u1 2)) (+.f32 (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (pow.f32 u1 3)))) (+.f32 (*.f32 (+.f32 (*.f32 15/64 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (*.f32 5/64 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (pow.f32 u1 3)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (*.f32 1/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 15/64 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (*.f32 1/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (*.f32 5/64 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (*.f32 1/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (*.f32 -1 (/.f32 (+.f32 (*.f32 -5/64 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 -15/64 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))))) (pow.f32 u1 3))) (+.f32 (*.f32 1/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
Outputs
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(+.f32 (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (pow.f32 u1 3)))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))
(fma.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (pow.f32 u1 3))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1) (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (pow.f32 u1 3)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 u1) (*.f32 1/2 (pow.f32 u1 3/2))))
(+.f32 (*.f32 (+.f32 (*.f32 1/16 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (*.f32 5/16 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (pow.f32 u1 2)) (+.f32 (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (pow.f32 u1 3)))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))))
(fma.f32 (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 3/8) (*.f32 u1 u1) (fma.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (pow.f32 u1 3))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))))
(fma.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 u1) 3/8)) (*.f32 u1 u1) (fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1) (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (pow.f32 u1 3))))))
(fma.f32 u1 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) 3/8) u1)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 u1) (*.f32 1/2 (pow.f32 u1 3/2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (+.f32 (*.f32 1/2 (pow.f32 u1 3/2)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u1 u1) 3/8))))
(+.f32 (*.f32 (+.f32 (*.f32 1/16 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (*.f32 5/16 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (pow.f32 u1 2)) (+.f32 (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (pow.f32 u1 3)))) (+.f32 (*.f32 (+.f32 (*.f32 15/64 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (*.f32 5/64 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (pow.f32 u1 3)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))))
(fma.f32 (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 3/8) (*.f32 u1 u1) (fma.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (pow.f32 u1 3))) (fma.f32 (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 5/16) (pow.f32 u1 3) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))))
(fma.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 u1) 3/8)) (*.f32 u1 u1) (fma.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (pow.f32 u1 3))) (fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1) (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (*.f32 5/16 (pow.f32 u1 3))))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (pow.f32 u1 3/2)) (fma.f32 u1 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) 3/8) u1)) (*.f32 (+.f32 (*.f32 (pow.f32 u1 3) 5/16) 1) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (pow.f32 u1 3/2)) (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (+.f32 (*.f32 (*.f32 u1 u1) 3/8) (+.f32 (*.f32 (pow.f32 u1 3) 5/16) 1))))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) u1))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (sqrt.f32 -1))))
(*.f32 (+.f32 (/.f32 1/2 u1) 1) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (*.f32 1/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (fma.f32 5/16 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (*.f32 u1 u1)) (fma.f32 1/16 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (*.f32 u1 u1)) (/.f32 (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) u1))))
(+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 u1 u1) (sqrt.f32 -1))) 3/8) (fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (fma.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (sqrt.f32 -1)) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 u1 u1) (sqrt.f32 -1))) 3/8)))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 u1 (sqrt.f32 -1))) (+.f32 1/2 (+.f32 (/.f32 5/16 u1) (/.f32 1/16 u1)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 15/64 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (*.f32 1/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (*.f32 5/64 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (fma.f32 15/64 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (pow.f32 u1 3)) (fma.f32 5/16 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (*.f32 u1 u1)) (fma.f32 1/16 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (*.f32 u1 u1)) (fma.f32 5/64 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (pow.f32 u1 3)) (/.f32 (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) u1))))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (fma.f32 15/64 (*.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (fma.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 (*.f32 5/64 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (pow.f32 u1 3))) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 u1 u1) (sqrt.f32 -1))) 3/8))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (fma.f32 15/64 (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)) (sqrt.f32 -1)) (fma.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 u1 u1) (sqrt.f32 -1))) 3/8 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (sqrt.f32 -1)) (+.f32 1/2 (/.f32 5/64 (*.f32 u1 u1)))))))
(+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (/.f32 u1 (sqrt.f32 -1)) u1)) (+.f32 (/.f32 5/16 u1) 3/8)) (*.f32 (+.f32 (/.f32 1/2 u1) 1) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) u1))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (sqrt.f32 -1))))
(*.f32 (+.f32 (/.f32 1/2 u1) 1) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (*.f32 1/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (fma.f32 5/16 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (*.f32 u1 u1)) (fma.f32 1/16 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (*.f32 u1 u1)) (/.f32 (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) u1))))
(+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 u1 u1) (sqrt.f32 -1))) 3/8) (fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (fma.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (sqrt.f32 -1)) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 u1 u1) (sqrt.f32 -1))) 3/8)))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 u1 (sqrt.f32 -1))) (+.f32 1/2 (+.f32 (/.f32 5/16 u1) (/.f32 1/16 u1)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (*.f32 -1 (/.f32 (+.f32 (*.f32 -5/64 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 -15/64 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))))) (pow.f32 u1 3))) (+.f32 (*.f32 1/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (fma.f32 15/64 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (pow.f32 u1 3)) (fma.f32 5/16 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (*.f32 u1 u1)) (fma.f32 1/16 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (*.f32 u1 u1)) (fma.f32 5/64 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (pow.f32 u1 3)) (/.f32 (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) u1))))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (fma.f32 15/64 (*.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (fma.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 (*.f32 5/64 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (pow.f32 u1 3))) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 u1 u1) (sqrt.f32 -1))) 3/8))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (fma.f32 15/64 (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)) (sqrt.f32 -1)) (fma.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 u1 u1) (sqrt.f32 -1))) 3/8 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (sqrt.f32 -1)) (+.f32 1/2 (/.f32 5/64 (*.f32 u1 u1)))))))
(+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (/.f32 u1 (sqrt.f32 -1)) u1)) (+.f32 (/.f32 5/16 u1) 3/8)) (*.f32 (+.f32 (/.f32 1/2 u1) 1) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

eval613.0ms (4.4%)

Compiler

Compiled 15914 to 12081 computations (24.1% saved)

prune450.0ms (3.2%)

Pruning

52 alts after pruning (47 fresh and 5 done)

PrunedKeptTotal
New82744871
Fresh20323
Picked011
Done145
Total84852900
Error
0.0b
Counts
900 → 52
Alt Table
Click to see full alt table
StatusErrorProgram
1.7b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) 2))
6.0b
(*.f32 314159265359/50000000000 (*.f32 u2 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))))
0.6b
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (-.f32 1 u1) -1/2) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
▶0.5b
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
8.9b
(*.f32 (sqrt.f32 u1) (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
0.8b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) 3))
3.1b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
6.0b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)))
5.6b
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
5.7b
(pow.f32 (sqrt.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)
6.0b
(*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 314159265359/50000000000 u2))
✓1.7b
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)
0.6b
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
5.6b
(/.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
6.7b
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))))
1.2b
(*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
1.4b
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)))
▶0.5b
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
▶8.9b
(*.f32 (*.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
25.6b
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
5.6b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1)))))
8.9b
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
✓4.9b
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
5.0b
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
4.9b
(*.f32 (pow.f32 (fma.f32 u1 u1 u1) 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
8.9b
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 314159265359/50000000000 u2))
5.6b
(sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
5.6b
(*.f32 314159265359/50000000000 (/.f32 (*.f32 (sqrt.f32 u1) u2) (sqrt.f32 (-.f32 1 u1))))
4.3b
(pow.f32 (sqrt.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 2)) (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))) 2)
5.5b
(sqrt.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) (/.f32 u1 (-.f32 1 u1))))
✓5.6b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
5.6b
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
13.8b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))))
5.6b
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
8.9b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
▶0.7b
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))
1.1b
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 5/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
5.6b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
5.6b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
0.6b
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
19.5b
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))) 1)
6.2b
(*.f32 314159265359/50000000000 (*.f32 u2 (exp.f32 (*.f32 (*.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))))
1.7b
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))) 2)
0.6b
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
12.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
5.6b
(*.f32 314159265359/50000000000 (*.f32 u2 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
5.5b
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
25.1b
(*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.7b
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))
▶11.7b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
Compiler

Compiled 1618 to 1281 computations (20.8% saved)

localize116.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiled 50 to 37 computations (26% saved)

series7.0ms (0%)

Counts
2 → 32
Calls

9 calls:

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

rewrite90.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
582×log-prod_binary32
359×pow-prod-down_binary32
305×pow2_binary32
262×prod-diff_binary32
215×pow1/3_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01224
125024
2305124
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (/.f32 1 (-.f32 1 u1)) u1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 u1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 1 u1) u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 u1 (-.f32 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (-.f32 1 u1) (cbrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 u1) (neg.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 u1 1) (-.f32 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u1 -1) (neg.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (-.f32 1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 1 u1) u1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))))))

simplify193.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
691×distribute-rgt-out_binary32
633×associate-/l/_binary32
422×fma-def_binary32
371×associate-/r/_binary32
308×times-frac_binary32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
096817
1289760
2922685
33563593
46748583
Stop Event
1×node limit
Counts
88 → 92
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
Outputs
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)) (+.f32 -1/2 (/.f32 -3/8 u1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1/2 (+.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (pow.f32 u1 3)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) (fma.f32 -1/2 (+.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (pow.f32 u1 3)))) (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (fma.f32 -1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1)))) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (pow.f32 u1 3) (+.f32 1 (+.f32 -1/2 (*.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2))))) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1)) (+.f32 (/.f32 5/8 u1) 3/4)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)) (+.f32 (+.f32 (/.f32 5/8 (*.f32 u1 u1)) 1) (/.f32 3/4 u1)))))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (/.f32 1/2 u1) 1))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (fma.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 3/8 (*.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (+.f32 1/2 (/.f32 3/8 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (/.f32 1/2 u1) (+.f32 (/.f32 3/8 (*.f32 u1 u1)) 1)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (*.f32 314159265359/50000000000 u2))))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (fma.f32 5/16 (*.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 3/8 (*.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (fma.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (+.f32 3/8 (/.f32 5/16 u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (+.f32 (/.f32 3/8 u1) (+.f32 1/2 (/.f32 5/16 (*.f32 u1 u1))))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5)) (*.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 7)) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5)) (*.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (fma.f32 314159265359/50000000000 u2 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (+.f32 (*.f32 u1 u1) (pow.f32 u1 3)) u1)
(+.f32 u1 (fma.f32 u1 u1 (pow.f32 u1 3)))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (*.f32 u1 u1) (+.f32 (+.f32 u1 (pow.f32 u1 3)) (pow.f32 u1 4)))
(+.f32 (+.f32 u1 (fma.f32 u1 u1 (pow.f32 u1 3))) (pow.f32 u1 4))
(*.f32 (fma.f32 u1 u1 1) (fma.f32 u1 u1 u1))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(+.f32 -1 (/.f32 -1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
(+.f32 -1 (-.f32 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1))) (/.f32 1 (pow.f32 u1 3))))
(+.f32 (/.f32 -1 u1) (-.f32 (/.f32 -1 (*.f32 u1 u1)) (+.f32 1 (/.f32 1 (pow.f32 u1 3)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(+.f32 -1 (/.f32 -1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
(+.f32 -1 (-.f32 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1))) (/.f32 1 (pow.f32 u1 3))))
(+.f32 (/.f32 -1 u1) (-.f32 (/.f32 -1 (*.f32 u1 u1)) (+.f32 1 (/.f32 1 (pow.f32 u1 3)))))

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 18 to 8 computations (55.6% saved)

series68.0ms (0.5%)

Counts
2 → 0
Calls

12 calls:

TimeVariablePointExpression
61.0ms
u2
@0
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
1.0ms
u1
@-inf
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
1.0ms
u1
@0
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
1.0ms
u1
@inf
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
1.0ms
u2
@inf
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))

rewrite92.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
628×pow1_binary32
581×add-log-exp_binary32
581×log1p-expm1-u_binary32
581×expm1-log1p-u_binary32
568×add-exp-log_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
114115
2161115
Stop Event
1×node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (sqrt.f32 u1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (sqrt.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 (sqrt.f32 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u2 (sqrt.f32 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u2 (sqrt.f32 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 u1 (*.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u2 (sqrt.f32 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u2 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u2 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u2 (sqrt.f32 u1))))))))

simplify6.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
22 → 22
Calls
Call 1
Inputs
Outputs

localize108.0ms (0.8%)

Local error

Found 3 expressions with local error:

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

Compiled 23 to 11 computations (52.2% saved)

series11.0ms (0.1%)

Counts
2 → 16
Calls

9 calls:

TimeVariablePointExpression
4.0ms
u1
@0
(*.f32 (*.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
1.0ms
u1
@-inf
(*.f32 (*.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
1.0ms
u2
@0
(*.f32 (*.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
1.0ms
u1
@inf
(*.f32 (*.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
1.0ms
u1
@0
(hypot.f32 u1 (sqrt.f32 u1))

rewrite64.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
725×pow1_binary32
669×add-log-exp_binary32
669×log1p-expm1-u_binary32
669×expm1-log1p-u_binary32
653×add-exp-log_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
116218
2186618
Stop Event
1×node limit
Counts
2 → 30
Calls
Call 1
Inputs
(*.f32 (*.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
(hypot.f32 u1 (sqrt.f32 u1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (fma.f32 u1 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 314159265359/50000000000) (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3) (pow.f32 (hypot.f32 u1 (sqrt.f32 u1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (hypot.f32 u1 (sqrt.f32 u1)) 3) (pow.f32 (*.f32 314159265359/50000000000 u2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (hypot.f32 u1 (sqrt.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (hypot.f32 u1 (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))) (cbrt.f32 (fma.f32 u1 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (hypot.f32 u1 (sqrt.f32 u1))) (sqrt.f32 (hypot.f32 u1 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (hypot.f32 u1 (sqrt.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (hypot.f32 u1 (sqrt.f32 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (hypot.f32 u1 (sqrt.f32 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 u1 u1 u1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (fma.f32 u1 u1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (hypot.f32 u1 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (hypot.f32 u1 (sqrt.f32 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (hypot.f32 u1 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (hypot.f32 u1 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (hypot.f32 u1 (sqrt.f32 u1))))))))

simplify84.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
784×fma-def_binary32
622×fma-neg_binary32
586×distribute-rgt-neg-in_binary32
524×hypot-def_binary32
444×distribute-lft-neg-in_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
016198
135174
267162
3119162
4258162
5747162
61151162
71803162
83104162
93961162
104978162
116969162
Stop Event
1×node limit
Counts
46 → 39
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
u1
(*.f32 -1 u1)
Outputs
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 (*.f32 314159265359/50000000000 u2) u1)
(*.f32 314159265359/50000000000 (*.f32 u1 u2))
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 (*.f32 -314159265359/50000000000 u2) u1)
(*.f32 u1 (*.f32 u2 -314159265359/50000000000))
(*.f32 (*.f32 u1 u2) -314159265359/50000000000)
u1
(*.f32 -1 u1)
(neg.f32 u1)

localize159.0ms (1.1%)

Local error

Found 4 expressions with local error:

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

Compiled 72 to 42 computations (41.7% saved)

series6.0ms (0%)

Counts
2 → 32
Calls

9 calls:

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

rewrite131.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
798×prod-diff_binary32
748×log-prod_binary32
341×fma-def_binary32
256×log1p-udef_binary32
255×expm1-udef_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01442
130724
2417824
Stop Event
1×node limit
Counts
2 → 110
Calls
Call 1
Inputs
(*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Outputs
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(fma.f32 u1 u1 (pow.f32 u1 4))) (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 4))) (fma.f32 u1 u1 1) (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u1 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) 2))) (cbrt.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u1 (sqrt.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (pow.f32 (cbrt.f32 u1) 2)) (cbrt.f32 u1) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (sqrt.f32 u1)) (sqrt.f32 u1) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1))))))

simplify82.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
708×distribute-rgt-out_binary32
634×associate-/l/_binary32
395×fma-def_binary32
375×associate-/r/_binary32
354×unswap-sqr_binary32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
097979
1290858
2926769
33560665
46808655
Stop Event
1×node limit
Counts
142 → 147
Calls
Call 1
Inputs
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2))))))))
(+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
Outputs
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 3)))
(+.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1)))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (*.f32 u1 u1) (+.f32 (+.f32 u1 (pow.f32 u1 3)) (pow.f32 u1 4)))
(+.f32 (+.f32 u1 (pow.f32 u1 3)) (fma.f32 u1 u1 (pow.f32 u1 4)))
(*.f32 (fma.f32 u1 u1 1) (fma.f32 u1 u1 u1))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(-.f32 -1 (/.f32 1 u1))
(+.f32 -1 (/.f32 -1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 (+.f32 -1 (/.f32 -1 u1)) (/.f32 -1 (*.f32 u1 u1)))
(+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(neg.f32 (+.f32 (+.f32 1 (/.f32 1 (*.f32 u1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (+.f32 -1 (/.f32 -1 u1)) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))))
(+.f32 -1 (+.f32 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1))) (/.f32 -1 (pow.f32 u1 3))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(-.f32 -1 (/.f32 1 u1))
(+.f32 -1 (/.f32 -1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 (+.f32 -1 (/.f32 -1 u1)) (/.f32 -1 (*.f32 u1 u1)))
(+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(neg.f32 (+.f32 (+.f32 1 (/.f32 1 (*.f32 u1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (+.f32 -1 (/.f32 -1 u1)) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))))
(+.f32 -1 (+.f32 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1))) (/.f32 -1 (pow.f32 u1 3))))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 (sqrt.f32 -1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 (sqrt.f32 -1))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1))) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))))
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(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 (-.f32 1 (*.f32 u1 u1)) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 (-.f32 1 (*.f32 u1 u1)) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))

localize127.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(sin.f32 (*.f32 314159265359/50000000000 u2))
✓0.3b
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))
0.4b
(*.f32 314159265359/50000000000 u2)
✓0.4b
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Compiler

Compiled 62 to 45 computations (27.4% saved)

series20.0ms (0.1%)

Counts
2 → 44
Calls

12 calls:

TimeVariablePointExpression
9.0ms
u2
@inf
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))
2.0ms
u1
@-inf
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))
1.0ms
u1
@0
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))
1.0ms
u2
@0
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))
1.0ms
u1
@-inf
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))

rewrite85.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
637×log-prod_binary32
375×pow-prod-down_binary32
340×pow2_binary32
271×prod-diff_binary32
237×pow1/3_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01348
127635
2337535
Stop Event
1×node limit
Counts
2 → 35
Calls
Call 1
Inputs
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1))))))

simplify145.0ms (1%)

Algorithm
1×egg-herbie
Rules
861×fma-def_binary32
676×times-frac_binary32
465×associate-*l*_binary32
437×distribute-rgt-out_binary32
430×associate-*r*_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01431528
14491462
214881288
368221176
Stop Event
1×node limit
Counts
79 → 80
Calls
Call 1
Inputs
(*.f32 (pow.f32 (*.f32 1 u1) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 1/4 (*.f32 (pow.f32 (*.f32 1 (pow.f32 u1 5)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (pow.f32 (*.f32 1 u1) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 1/4 (*.f32 (pow.f32 (*.f32 1 (pow.f32 u1 5)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (+.f32 (*.f32 5/32 (*.f32 (pow.f32 (*.f32 1 (pow.f32 u1 9)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (pow.f32 (*.f32 1 u1) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (*.f32 1/4 (*.f32 (pow.f32 (*.f32 1 (pow.f32 u1 5)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (+.f32 (*.f32 15/128 (*.f32 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (+.f32 (*.f32 5/32 (*.f32 (pow.f32 (*.f32 1 (pow.f32 u1 9)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (pow.f32 (*.f32 1 u1) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(*.f32 (pow.f32 -1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 1/4 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))) (*.f32 (pow.f32 -1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 1/4 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))) (+.f32 (*.f32 (pow.f32 -1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 5/32 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 2))))))
(+.f32 (*.f32 1/4 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))) (+.f32 (*.f32 (pow.f32 -1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 15/128 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)))) (*.f32 5/32 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 2)))))))
(*.f32 (pow.f32 -1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 1/4 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))) (*.f32 (pow.f32 -1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 1/4 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))) (+.f32 (*.f32 (pow.f32 -1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 5/32 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 2))))))
(+.f32 (*.f32 1/4 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))) (+.f32 (*.f32 (pow.f32 -1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 15/128 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)))) (*.f32 5/32 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 2)))))))
(*.f32 314159265359/50000000000 (*.f32 (pow.f32 (/.f32 (*.f32 1 u1) (-.f32 1 u1)) 1/4) u2))
(+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 (/.f32 (*.f32 1 u1) (-.f32 1 u1)) 1/4) (pow.f32 u2 3))) (*.f32 314159265359/50000000000 (*.f32 (pow.f32 (/.f32 (*.f32 1 u1) (-.f32 1 u1)) 1/4) u2)))
(+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 (/.f32 (*.f32 1 u1) (-.f32 1 u1)) 1/4) (pow.f32 u2 3))) (+.f32 (*.f32 314159265359/50000000000 (*.f32 (pow.f32 (/.f32 (*.f32 1 u1) (-.f32 1 u1)) 1/4) u2)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 (/.f32 (*.f32 1 u1) (-.f32 1 u1)) 1/4) (pow.f32 u2 5)))))
(+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 (/.f32 (*.f32 1 u1) (-.f32 1 u1)) 1/4) (pow.f32 u2 3))) (+.f32 (*.f32 314159265359/50000000000 (*.f32 (pow.f32 (/.f32 (*.f32 1 u1) (-.f32 1 u1)) 1/4) u2)) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 (/.f32 (*.f32 1 u1) (-.f32 1 u1)) 1/4) (pow.f32 u2 5))) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 (/.f32 (*.f32 1 u1) (-.f32 1 u1)) 1/4) (pow.f32 u2 7))))))
(*.f32 (pow.f32 (/.f32 (*.f32 1 u1) (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (pow.f32 (/.f32 (*.f32 1 u1) (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (pow.f32 (/.f32 (*.f32 1 u1) (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (pow.f32 (/.f32 (*.f32 1 u1) (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (pow.f32 (/.f32 (*.f32 1 u1) (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (pow.f32 (/.f32 (*.f32 1 u1) (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (pow.f32 (/.f32 (*.f32 1 u1) (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (pow.f32 (/.f32 (*.f32 1 u1) (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (-.f32 1 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
Outputs
(*.f32 (pow.f32 (*.f32 1 u1) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (pow.f32 u1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 1/4 (*.f32 (pow.f32 (*.f32 1 (pow.f32 u1 5)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (pow.f32 (*.f32 1 u1) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 1/4 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (pow.f32 u1 5) 1/4)) (*.f32 (pow.f32 u1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (pow.f32 u1 1/4) (*.f32 1/4 (pow.f32 (pow.f32 u1 5) 1/4))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (fma.f32 1/4 (pow.f32 (pow.f32 u1 5) 1/4) (pow.f32 u1 1/4)))
(+.f32 (*.f32 1/4 (*.f32 (pow.f32 (*.f32 1 (pow.f32 u1 5)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (+.f32 (*.f32 5/32 (*.f32 (pow.f32 (*.f32 1 (pow.f32 u1 9)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (pow.f32 (*.f32 1 u1) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 1/4 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (pow.f32 u1 5) 1/4)) (fma.f32 5/32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (pow.f32 u1 9) 1/4)) (*.f32 (pow.f32 u1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 1/4 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (pow.f32 u1 5) 1/4)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (pow.f32 u1 1/4) (*.f32 5/32 (pow.f32 (pow.f32 u1 9) 1/4)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (*.f32 1/4 (pow.f32 (pow.f32 u1 5) 1/4)) (fma.f32 5/32 (pow.f32 (pow.f32 u1 9) 1/4) (pow.f32 u1 1/4))))
(+.f32 (*.f32 1/4 (*.f32 (pow.f32 (*.f32 1 (pow.f32 u1 5)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (+.f32 (*.f32 15/128 (*.f32 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (+.f32 (*.f32 5/32 (*.f32 (pow.f32 (*.f32 1 (pow.f32 u1 9)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (pow.f32 (*.f32 1 u1) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 1/4 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (pow.f32 u1 5) 1/4)) (fma.f32 15/128 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (pow.f32 u1 13) 1/4)) (fma.f32 5/32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (pow.f32 u1 9) 1/4)) (*.f32 (pow.f32 u1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (pow.f32 u1 1/4) (*.f32 5/32 (pow.f32 (pow.f32 u1 9) 1/4)))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (*.f32 1/4 (pow.f32 (pow.f32 u1 5) 1/4)) (*.f32 15/128 (pow.f32 (pow.f32 u1 13) 1/4)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (fma.f32 5/32 (pow.f32 (pow.f32 u1 9) 1/4) (pow.f32 u1 1/4)) (fma.f32 1/4 (pow.f32 (pow.f32 u1 5) 1/4) (*.f32 15/128 (pow.f32 (pow.f32 u1 13) 1/4)))))
(*.f32 (pow.f32 -1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/4))
(+.f32 (*.f32 1/4 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))) (*.f32 (pow.f32 -1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 1/4 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/4)))
(*.f32 (pow.f32 -1 1/4) (+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/4 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/4)) (+.f32 (/.f32 1/4 u1) 1))
(+.f32 (*.f32 1/4 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))) (+.f32 (*.f32 (pow.f32 -1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 5/32 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 2))))))
(fma.f32 1/4 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)) (fma.f32 (pow.f32 -1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 5/32 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1))))))
(fma.f32 1/4 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)) (fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/4) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1)) (*.f32 5/32 (pow.f32 -1 1/4)))))
(fma.f32 1/4 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (pow.f32 -1 1/4) u1)) (*.f32 (pow.f32 -1 1/4) (+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 5/32) (*.f32 u1 u1)))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/4) (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (pow.f32 -1 1/4) u1)) (+.f32 1/4 (/.f32 5/32 u1))))
(+.f32 (*.f32 1/4 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))) (+.f32 (*.f32 (pow.f32 -1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 15/128 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)))) (*.f32 5/32 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 2)))))))
(fma.f32 1/4 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)) (fma.f32 (pow.f32 -1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)) (fma.f32 15/128 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3))) (*.f32 5/32 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1)))))))
(fma.f32 1/4 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)) (fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/4) (fma.f32 5/32 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1))) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)) (*.f32 15/128 (pow.f32 -1 1/4))))))
(+.f32 (*.f32 (pow.f32 -1 1/4) (+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/4 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)))) (*.f32 (pow.f32 -1 1/4) (+.f32 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 5/32) (*.f32 u1 u1)) (*.f32 15/128 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3))))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/4)) (+.f32 (/.f32 15/128 (pow.f32 u1 3)) 1)) (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (pow.f32 -1 1/4) u1)) (+.f32 1/4 (/.f32 5/32 u1))))
(*.f32 (pow.f32 -1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/4))
(+.f32 (*.f32 1/4 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))) (*.f32 (pow.f32 -1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 1/4 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/4)))
(*.f32 (pow.f32 -1 1/4) (+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/4 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/4)) (+.f32 (/.f32 1/4 u1) 1))
(+.f32 (*.f32 1/4 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))) (+.f32 (*.f32 (pow.f32 -1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 5/32 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 2))))))
(fma.f32 1/4 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)) (fma.f32 (pow.f32 -1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 5/32 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1))))))
(fma.f32 1/4 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)) (fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/4) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1)) (*.f32 5/32 (pow.f32 -1 1/4)))))
(fma.f32 1/4 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (pow.f32 -1 1/4) u1)) (*.f32 (pow.f32 -1 1/4) (+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 5/32) (*.f32 u1 u1)))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/4) (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (pow.f32 -1 1/4) u1)) (+.f32 1/4 (/.f32 5/32 u1))))
(+.f32 (*.f32 1/4 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))) (+.f32 (*.f32 (pow.f32 -1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 15/128 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)))) (*.f32 5/32 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 2)))))))
(fma.f32 1/4 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)) (fma.f32 (pow.f32 -1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)) (fma.f32 15/128 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3))) (*.f32 5/32 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1)))))))
(fma.f32 1/4 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)) (fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/4) (fma.f32 5/32 (*.f32 (pow.f32 -1 1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1))) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)) (*.f32 15/128 (pow.f32 -1 1/4))))))
(+.f32 (*.f32 (pow.f32 -1 1/4) (+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/4 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)))) (*.f32 (pow.f32 -1 1/4) (+.f32 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 5/32) (*.f32 u1 u1)) (*.f32 15/128 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3))))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/4)) (+.f32 (/.f32 15/128 (pow.f32 u1 3)) 1)) (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (pow.f32 -1 1/4) u1)) (+.f32 1/4 (/.f32 5/32 u1))))
(*.f32 314159265359/50000000000 (*.f32 (pow.f32 (/.f32 (*.f32 1 u1) (-.f32 1 u1)) 1/4) u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)))
(*.f32 (*.f32 314159265359/50000000000 u2) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))
(+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 (/.f32 (*.f32 1 u1) (-.f32 1 u1)) 1/4) (pow.f32 u2 3))) (*.f32 314159265359/50000000000 (*.f32 (pow.f32 (/.f32 (*.f32 1 u1) (-.f32 1 u1)) 1/4) u2)))
(fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 u2 3)) (*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))))
(fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 u2 3)) (*.f32 (*.f32 314159265359/50000000000 u2) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 (/.f32 (*.f32 1 u1) (-.f32 1 u1)) 1/4) (pow.f32 u2 3))) (+.f32 (*.f32 314159265359/50000000000 (*.f32 (pow.f32 (/.f32 (*.f32 1 u1) (-.f32 1 u1)) 1/4) u2)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 (/.f32 (*.f32 1 u1) (-.f32 1 u1)) 1/4) (pow.f32 u2 5)))))
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(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))) (fma.f32 314159265359/50000000000 u2 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

eval380.0ms (2.7%)

Compiler

Compiled 12198 to 8875 computations (27.2% saved)

prune248.0ms (1.8%)

Pruning

60 alts after pruning (51 fresh and 9 done)

PrunedKeptTotal
New56720587
Fresh113142
Picked101
Done099
Total57960639
Error
0.0b
Counts
639 → 60
Alt Table
Click to see full alt table
StatusErrorProgram
5.7b
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 314159265359/50000000000 u2)))
0.6b
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (-.f32 1 u1) -1/2) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
1.7b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) 2))
✓0.5b
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
8.9b
(*.f32 (sqrt.f32 u1) (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
0.8b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) 3))
3.1b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
6.0b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)))
5.6b
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
30.5b
(*.f32 (*.f32 314159265359/50000000000 u2) (neg.f32 u1))
5.5b
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (*.f32 314159265359/50000000000 u2))
8.9b
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
✓1.7b
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)
25.7b
(*.f32 (*.f32 314159265359/50000000000 u2) u1)
5.6b
(/.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
0.6b
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
8.9b
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
6.7b
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))))
30.5b
(*.f32 (*.f32 u1 u2) -314159265359/50000000000)
0.7b
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))))
▶1.4b
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)))
✓0.5b
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
✓8.9b
(*.f32 (*.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
25.6b
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
11.7b
(sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
✓11.7b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
▶0.5b
(*.f32 (sqrt.f32 (+.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
✓4.9b
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
8.2b
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (pow.f32 u1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))
4.9b
(*.f32 (pow.f32 (fma.f32 u1 u1 u1) 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
5.6b
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
5.6b
(sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
5.6b
(*.f32 314159265359/50000000000 (/.f32 (*.f32 (sqrt.f32 u1) u2) (sqrt.f32 (-.f32 1 u1))))
4.3b
(pow.f32 (sqrt.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 2)) (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))) 2)
▶5.5b
(sqrt.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) (/.f32 u1 (-.f32 1 u1))))
5.5b
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (*.f32 314159265359/50000000000 u2))
✓5.6b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
5.6b
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
5.5b
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
13.8b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))))
5.6b
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
8.9b
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
8.9b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
0.5b
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
1.1b
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 5/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
▶5.6b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
0.6b
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
19.5b
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))) 1)
6.2b
(*.f32 314159265359/50000000000 (*.f32 u2 (exp.f32 (*.f32 (*.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))))
24.4b
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
0.6b
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
12.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
5.6b
(*.f32 314159265359/50000000000 (*.f32 u2 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
25.1b
(*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
23.1b
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
0.7b
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
11.7b
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
▶25.7b
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
Compiler

Compiled 1760 to 1378 computations (21.7% saved)

localize70.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1)))
0.2b
(sin.f32 (*.f32 314159265359/50000000000 u2))
✓0.3b
(*.f32 (sqrt.f32 (+.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.4b
(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 96 to 46 computations (52.1% saved)

series6.0ms (0%)

Counts
2 → 32
Calls

9 calls:

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

rewrite132.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
761×log-prod_binary32
562×fma-def_binary32
287×fma-neg_binary32
267×expm1-udef_binary32
266×log1p-udef_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01448
130842
2442640
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (+.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1))) (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1))) (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1))) (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1))) (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1))) (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (*.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1))) (fma.f32 u1 u1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1))) (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1))) (fma.f32 u1 u1 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (*.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1))) (fma.f32 u1 u1 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (*.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))))) (cbrt.f32 (exp.f32 (*.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))))))) (log.f32 (cbrt.f32 (exp.f32 (*.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (*.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))) (log.f32 (sqrt.f32 (exp.f32 (*.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u1 u1) (/.f32 1 (-.f32 1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) u1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))) (cbrt.f32 (/.f32 (pow.f32 u1 4) (pow.f32 (-.f32 1 (*.f32 u1 u1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 (pow.f32 u1 4) (pow.f32 (-.f32 1 (*.f32 u1 u1)) 2))) (cbrt.f32 (*.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 u1 4)) (*.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 1 (-.f32 1 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) (/.f32 u1 (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u1 (neg.f32 u1)) (/.f32 1 (neg.f32 (-.f32 1 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1))) (*.f32 u1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u1 1) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (pow.f32 u1 4)) 1) (/.f32 (pow.f32 (cbrt.f32 u1) 2) (-.f32 1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))) 2)) (/.f32 u1 (cbrt.f32 (-.f32 1 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))) 2)) (/.f32 (*.f32 u1 u1) (cbrt.f32 (-.f32 1 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (pow.f32 u1 4)) (pow.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))) 2)) (cbrt.f32 (*.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) (/.f32 (*.f32 u1 u1) (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (pow.f32 u1 4)) (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (pow.f32 u1 6))) (+.f32 1 (fma.f32 u1 u1 (pow.f32 u1 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (pow.f32 u1 4))) (fma.f32 u1 u1 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (pow.f32 u1 6) (pow.f32 (-.f32 1 (*.f32 u1 u1)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 1 (*.f32 u1 u1)) (*.f32 u1 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (*.f32 u1 u1) (neg.f32 (-.f32 1 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 (pow.f32 u1 4) (pow.f32 (-.f32 1 (*.f32 u1 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (*.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 u1 6) (pow.f32 (-.f32 1 (*.f32 u1 u1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))) 1))))))

simplify63.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
603×associate-/l/_binary32
518×fma-def_binary32
388×times-frac_binary32
265×associate-/r/_binary32
247×associate-/r*_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01061224
13241196
210551040
34475849
Stop Event
1×node limit
Counts
88 → 90
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (-.f32 1 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 2) (-.f32 1 (pow.f32 u1 2))) (/.f32 u1 (-.f32 1 (pow.f32 u1 2))))) u2))
(+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 2) (-.f32 1 (pow.f32 u1 2))) (/.f32 u1 (-.f32 1 (pow.f32 u1 2))))) (pow.f32 u2 3))) (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 2) (-.f32 1 (pow.f32 u1 2))) (/.f32 u1 (-.f32 1 (pow.f32 u1 2))))) u2)))
(+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 2) (-.f32 1 (pow.f32 u1 2))) (/.f32 u1 (-.f32 1 (pow.f32 u1 2))))) (pow.f32 u2 3))) (+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 2) (-.f32 1 (pow.f32 u1 2))) (/.f32 u1 (-.f32 1 (pow.f32 u1 2))))) u2)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 2) (-.f32 1 (pow.f32 u1 2))) (/.f32 u1 (-.f32 1 (pow.f32 u1 2))))) (pow.f32 u2 5)))))
(+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 2) (-.f32 1 (pow.f32 u1 2))) (/.f32 u1 (-.f32 1 (pow.f32 u1 2))))) (pow.f32 u2 3))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 2) (-.f32 1 (pow.f32 u1 2))) (/.f32 u1 (-.f32 1 (pow.f32 u1 2))))) (pow.f32 u2 7))) (+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 2) (-.f32 1 (pow.f32 u1 2))) (/.f32 u1 (-.f32 1 (pow.f32 u1 2))))) u2)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 2) (-.f32 1 (pow.f32 u1 2))) (/.f32 u1 (-.f32 1 (pow.f32 u1 2))))) (pow.f32 u2 5))))))
(*.f32 (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 2) (-.f32 1 (pow.f32 u1 2))) (/.f32 u1 (-.f32 1 (pow.f32 u1 2))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 2) (-.f32 1 (pow.f32 u1 2))) (/.f32 u1 (-.f32 1 (pow.f32 u1 2))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 2) (-.f32 1 (pow.f32 u1 2))) (/.f32 u1 (-.f32 1 (pow.f32 u1 2))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 2) (-.f32 1 (pow.f32 u1 2))) (/.f32 u1 (-.f32 1 (pow.f32 u1 2))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 2) (-.f32 1 (pow.f32 u1 2))) (/.f32 u1 (-.f32 1 (pow.f32 u1 2))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 2) (-.f32 1 (pow.f32 u1 2))) (/.f32 u1 (-.f32 1 (pow.f32 u1 2))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 2) (-.f32 1 (pow.f32 u1 2))) (/.f32 u1 (-.f32 1 (pow.f32 u1 2))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 2) (-.f32 1 (pow.f32 u1 2))) (/.f32 u1 (-.f32 1 (pow.f32 u1 2))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(pow.f32 u1 2)
(+.f32 (pow.f32 u1 4) (pow.f32 u1 2))
(+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 2) (pow.f32 u1 6)))
(+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 8) (pow.f32 u1 6))))
-1
(neg.f32 (+.f32 1 (/.f32 1 (pow.f32 u1 2))))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 4)) (+.f32 1 (/.f32 1 (pow.f32 u1 2)))))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 4)) (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 (pow.f32 u1 6))))))
-1
(neg.f32 (+.f32 1 (/.f32 1 (pow.f32 u1 2))))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 4)) (+.f32 1 (/.f32 1 (pow.f32 u1 2)))))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 4)) (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 (pow.f32 u1 6))))))
Outputs
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) u1)))
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(fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (+.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))) (pow.f32 u2 3)) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (+.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))) (pow.f32 u2 7)) (fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (+.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))))) (*.f32 (sqrt.f32 (+.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))) (*.f32 (pow.f32 u2 5) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)))))
(+.f32 (*.f32 (sqrt.f32 (+.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (*.f32 (sqrt.f32 (+.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(*.f32 (sqrt.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) u1) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))) (+.f32 (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(*.f32 (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 2) (-.f32 1 (pow.f32 u1 2))) (/.f32 u1 (-.f32 1 (pow.f32 u1 2))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) u1) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 2) (-.f32 1 (pow.f32 u1 2))) (/.f32 u1 (-.f32 1 (pow.f32 u1 2))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) u1) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 2) (-.f32 1 (pow.f32 u1 2))) (/.f32 u1 (-.f32 1 (pow.f32 u1 2))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) u1) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 2) (-.f32 1 (pow.f32 u1 2))) (/.f32 u1 (-.f32 1 (pow.f32 u1 2))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) u1) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 2) (-.f32 1 (pow.f32 u1 2))) (/.f32 u1 (-.f32 1 (pow.f32 u1 2))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) u1) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 2) (-.f32 1 (pow.f32 u1 2))) (/.f32 u1 (-.f32 1 (pow.f32 u1 2))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) u1) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 2) (-.f32 1 (pow.f32 u1 2))) (/.f32 u1 (-.f32 1 (pow.f32 u1 2))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) u1) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 2) (-.f32 1 (pow.f32 u1 2))) (/.f32 u1 (-.f32 1 (pow.f32 u1 2))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) u1) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))
(pow.f32 u1 2)
(*.f32 u1 u1)
(+.f32 (pow.f32 u1 4) (pow.f32 u1 2))
(+.f32 (*.f32 u1 u1) (pow.f32 u1 4))
(fma.f32 u1 u1 (pow.f32 u1 4))
(+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 2) (pow.f32 u1 6)))
(+.f32 (pow.f32 u1 4) (+.f32 (*.f32 u1 u1) (pow.f32 u1 6)))
(+.f32 (pow.f32 u1 4) (fma.f32 u1 u1 (pow.f32 u1 6)))
(+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 8) (pow.f32 u1 6))))
(+.f32 (+.f32 (*.f32 u1 u1) (pow.f32 u1 4)) (+.f32 (pow.f32 u1 6) (pow.f32 u1 8)))
(+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 6) (fma.f32 u1 u1 (pow.f32 u1 8))))
(+.f32 (pow.f32 u1 4) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 6)) (pow.f32 u1 8)))
(*.f32 (fma.f32 u1 u1 1) (fma.f32 u1 u1 (pow.f32 u1 6)))
-1
(neg.f32 (+.f32 1 (/.f32 1 (pow.f32 u1 2))))
(+.f32 -1 (neg.f32 (/.f32 1 (*.f32 u1 u1))))
(+.f32 -1 (/.f32 -1 (*.f32 u1 u1)))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 4)) (+.f32 1 (/.f32 1 (pow.f32 u1 2)))))
(neg.f32 (+.f32 (+.f32 1 (/.f32 1 (*.f32 u1 u1))) (/.f32 1 (pow.f32 u1 4))))
(+.f32 (+.f32 -1 (/.f32 -1 (*.f32 u1 u1))) (/.f32 -1 (pow.f32 u1 4)))
(-.f32 -1 (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 4))))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 4)) (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 (pow.f32 u1 6))))))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 4)) (+.f32 1 (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 6))))))
(-.f32 (/.f32 -1 (pow.f32 u1 4)) (+.f32 1 (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 6)))))
(+.f32 (+.f32 -1 (/.f32 -1 (*.f32 u1 u1))) (-.f32 (/.f32 -1 (pow.f32 u1 6)) (/.f32 1 (pow.f32 u1 4))))
(+.f32 (-.f32 -1 (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 4)))) (/.f32 -1 (pow.f32 u1 6)))
-1
(neg.f32 (+.f32 1 (/.f32 1 (pow.f32 u1 2))))
(+.f32 -1 (neg.f32 (/.f32 1 (*.f32 u1 u1))))
(+.f32 -1 (/.f32 -1 (*.f32 u1 u1)))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 4)) (+.f32 1 (/.f32 1 (pow.f32 u1 2)))))
(neg.f32 (+.f32 (+.f32 1 (/.f32 1 (*.f32 u1 u1))) (/.f32 1 (pow.f32 u1 4))))
(+.f32 (+.f32 -1 (/.f32 -1 (*.f32 u1 u1))) (/.f32 -1 (pow.f32 u1 4)))
(-.f32 -1 (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 4))))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 4)) (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 (pow.f32 u1 6))))))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 4)) (+.f32 1 (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 6))))))
(-.f32 (/.f32 -1 (pow.f32 u1 4)) (+.f32 1 (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 6)))))
(+.f32 (+.f32 -1 (/.f32 -1 (*.f32 u1 u1))) (-.f32 (/.f32 -1 (pow.f32 u1 6)) (/.f32 1 (pow.f32 u1 4))))
(+.f32 (-.f32 -1 (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 4)))) (/.f32 -1 (pow.f32 u1 6)))

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 7 computations (50% saved)

series34.0ms (0.2%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
31.0ms
u2
@0
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
1.0ms
u2
@inf
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
1.0ms
u1
@inf
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
1.0ms
u1
@0
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
0.0ms
u2
@-inf
(*.f32 314159265359/50000000000 (*.f32 u2 u1))

rewrite56.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
555×pow1_binary32
512×add-log-exp_binary32
512×log1p-expm1-u_binary32
512×expm1-log1p-u_binary32
502×add-exp-log_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11217
213947
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 314159265359/50000000000 (*.f32 u2 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 314159265359/50000000000 (*.f32 u2 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 (*.f32 u2 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 (*.f32 u2 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 (*.f32 u2 u1) 2) 98696044010906577398881/2500000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 314159265359/50000000000) (*.f32 u2 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 (*.f32 u2 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 (*.f32 u2 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 (*.f32 u2 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 314159265359/50000000000 (*.f32 u2 u1))))))))

simplify6.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize132.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(-.f32 (/.f32 1 u1) 1)
✓0.2b
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
✓0.2b
(*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2))
✓0.4b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
Compiler

Compiled 43 to 34 computations (20.9% saved)

series41.0ms (0.3%)

Counts
4 → 55
Calls

18 calls:

TimeVariablePointExpression
28.0ms
u1
@0
(*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2))
2.0ms
u1
@0
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
2.0ms
u2
@0
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
1.0ms
u2
@0
(*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2))
1.0ms
u1
@-inf
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))

rewrite156.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
497×log-prod_binary32
385×exp-prod_binary32
334×prod-exp_binary32
283×pow-prod-down_binary32
280×pow2_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01146
123846
2283646
Stop Event
1×node limit
Counts
4 → 137
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2))
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
(-.f32 (/.f32 1 u1) 1)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6) (cbrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) -1) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 -1/2 (log.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 -1/2 (log.f32 (+.f32 (/.f32 1 u1) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 2 (log.f32 (+.f32 (/.f32 1 u1) -1))) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 -1/4 (log.f32 (+.f32 (/.f32 1 u1) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (*.f32 -1/2 (log.f32 (+.f32 (/.f32 1 u1) -1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) -1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) -1/4) (*.f32 -1/4 (log.f32 (+.f32 (/.f32 1 u1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 -1/4 (log.f32 (+.f32 (/.f32 1 u1) -1))) (*.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) -1/4) (*.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) -1/4)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1 u1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (+.f32 (/.f32 1 u1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (/.f32 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 1 u1) -1))) 2)) (log.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 1 u1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (+.f32 (/.f32 1 u1) -1)))) (log.f32 (sqrt.f32 (exp.f32 (+.f32 (/.f32 1 u1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (/.f32 1 u1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (/.f32 1 u1) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 u1 -3) -1) (/.f32 1 (+.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 u1 -2) -1) (/.f32 1 (+.f32 1 (/.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 u1 -1/2) 1) (-.f32 (pow.f32 u1 -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))) (+.f32 (pow.f32 u1 -3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 1 (/.f32 1 u1)) (+.f32 (pow.f32 u1 -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 u1 -3) -1) (+.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 u1 -3) -1) (+.f32 (pow.f32 u1 -2) (-.f32 1 (*.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 u1 -2) -1) (+.f32 1 (/.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 u1 -3) -1)) (neg.f32 (+.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 u1 -2) -1)) (neg.f32 (+.f32 1 (/.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (/.f32 1 u1) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (+.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))) (+.f32 (pow.f32 u1 -3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (+.f32 1 (/.f32 1 u1)) (+.f32 (pow.f32 u1 -2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 (/.f32 1 u1) -1))) 2)) (cbrt.f32 (log.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)))) (sqrt.f32 (log.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (neg.f32 (log.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (*.f32 (log.f32 u1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (*.f32 (neg.f32 (log.f32 u1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (+.f32 (/.f32 1 u1) -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (/.f32 1 u1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 1 u1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 1 (cbrt.f32 u1)) (cbrt.f32 (pow.f32 u1 -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 u1 -2)) (/.f32 1 (cbrt.f32 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 u1 -2)) (*.f32 (/.f32 1 (cbrt.f32 u1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 u1 -1/2) (pow.f32 u1 -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 u1 -1/2) (*.f32 (pow.f32 u1 -1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 -1 (/.f32 1 (neg.f32 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 u1) -2) (/.f32 1 (cbrt.f32 u1)) -1)))))

simplify94.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
587×times-frac_binary32
532×fma-def_binary32
362×associate-/r/_binary32
362×div-sub_binary32
334×associate-/r*_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01011292
13181262
210871142
350441092
473291092
Stop Event
1×node limit
Counts
192 → 177
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/100000000000 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 -314159265359/100000000000 (/.f32 (*.f32 u2 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/100000000000 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/100000000000 (/.f32 (*.f32 u2 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 (*.f32 u2 (-.f32 1 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 -314159265359/100000000000 (/.f32 (*.f32 u2 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(*.f32 (sqrt.f32 -1) u2)
(+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2)))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 u2 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 (sqrt.f32 -1) u2))))
(*.f32 (sqrt.f32 -1) u2)
(+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 u2 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2)))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 u2 (-.f32 1 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 u2 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2))))
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))))
(+.f32 (sqrt.f32 u1) (+.f32 (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))))
(+.f32 (*.f32 5/16 (sqrt.f32 (pow.f32 u1 7))) (+.f32 (sqrt.f32 u1) (+.f32 (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(/.f32 1 u1)
-1
-1
Outputs
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)))
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(+.f32 (*.f32 -1/2 (/.f32 (*.f32 u2 (-.f32 1 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 u2 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2))))
(fma.f32 -1/2 (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 u2 (*.f32 u1 u1))) (fma.f32 -1/2 (/.f32 u2 (*.f32 u1 (sqrt.f32 -1))) (fma.f32 -1/2 (/.f32 u2 (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1))) (*.f32 u2 (sqrt.f32 -1)))))
(fma.f32 -1/2 (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 (*.f32 u1 (sqrt.f32 -1)))) u2) (fma.f32 (/.f32 u2 (*.f32 u1 (sqrt.f32 -1))) -1/2 (fma.f32 u2 (sqrt.f32 -1) (/.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (*.f32 u2 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1)))))))
(fma.f32 -1/2 (/.f32 (fma.f32 u2 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2) u2) (*.f32 u1 (*.f32 u1 (sqrt.f32 -1)))) (fma.f32 u2 (sqrt.f32 -1) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (/.f32 (fma.f32 u2 (fma.f32 -1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2) -1/2) u2) (pow.f32 u1 3))))))
(+.f32 (*.f32 u2 (sqrt.f32 -1)) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (*.f32 (/.f32 u2 (*.f32 u1 u1)) (+.f32 (/.f32 (+.f32 1/2 (*.f32 -1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) u1) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)))))))
(+.f32 (*.f32 u2 (sqrt.f32 -1)) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (*.f32 (/.f32 u2 (*.f32 u1 u1)) (+.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (/.f32 (+.f32 1/2 (*.f32 -1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) u1))))))
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))))
(fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))
(fma.f32 1/2 (pow.f32 u1 3/2) (sqrt.f32 u1))
(+.f32 (sqrt.f32 u1) (+.f32 (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))))
(+.f32 (sqrt.f32 u1) (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))))
(fma.f32 1/2 (pow.f32 u1 3/2) (fma.f32 3/8 (pow.f32 u1 5/2) (sqrt.f32 u1)))
(+.f32 (*.f32 5/16 (sqrt.f32 (pow.f32 u1 7))) (+.f32 (sqrt.f32 u1) (+.f32 (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5))))))
(fma.f32 5/16 (sqrt.f32 (pow.f32 u1 7)) (+.f32 (sqrt.f32 u1) (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5))))))
(+.f32 (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))) (fma.f32 5/16 (sqrt.f32 (pow.f32 u1 7)) (sqrt.f32 u1)))
(fma.f32 5/16 (pow.f32 u1 7/2) (fma.f32 1/2 (pow.f32 u1 3/2) (fma.f32 3/8 (pow.f32 u1 5/2) (sqrt.f32 u1))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 3/8 u1) 1/2)))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (sqrt.f32 -1)))
(+.f32 (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 3/8 u1) 1/2)))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 3/8 u1) (+.f32 1/2 (/.f32 5/16 (*.f32 u1 u1))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 3/8 u1) 1/2)))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (sqrt.f32 -1)))
(+.f32 (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 3/8 u1) 1/2)))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 3/8 u1) (+.f32 1/2 (/.f32 5/16 (*.f32 u1 u1))))))
(/.f32 1 u1)
-1
-1

localize46.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f32 u1 (-.f32 1 u1))
✓0.3b
(*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) (/.f32 u1 (-.f32 1 u1)))
0.4b
(*.f32 314159265359/50000000000 u2)
✓0.5b
(pow.f32 (*.f32 314159265359/50000000000 u2) 2)
Compiler

Compiled 47 to 34 computations (27.7% saved)

series5.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite74.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
527×log-prod_binary32
400×exp-prod_binary32
328×pow-prod-down_binary32
280×pow2_binary32
204×pow-unpow_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01123
123723
2288923
Stop Event
1×node limit
Counts
2 → 64
Calls
Call 1
Inputs
(pow.f32 (*.f32 314159265359/50000000000 u2) 2)
(*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) (/.f32 u1 (-.f32 1 u1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 314159265359/50000000000 (*.f32 u2 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 (*.f32 314159265359/50000000000 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 314159265359/50000000000 u2) (*.f32 314159265359/50000000000 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 4) (pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (*.f32 314159265359/50000000000 u2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3/2) (sqrt.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 314159265359/50000000000 u2) 314159265359/50000000000) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 314159265359/50000000000 u2) u2) 314159265359/50000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 5) (cbrt.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 2 (log.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 2 (log.f32 (*.f32 314159265359/50000000000 u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 2 (log.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 314159265359/50000000000 u2)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (*.f32 2 (log.f32 (*.f32 314159265359/50000000000 u2))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)) (/.f32 u1 (-.f32 1 u1)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)) (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)) (/.f32 u1 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)) (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (/.f32 u1 (-.f32 1 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (-.f32 (/.f32 1 u1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 1 u1) (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) u1) (-.f32 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) u1)) (neg.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) u1) 1) (-.f32 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) u1) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 u1) (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))) (neg.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (neg.f32 u1)) (neg.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (fma.f32 2 (log.f32 (*.f32 314159265359/50000000000 u2)) (log.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (*.f32 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314159265359/50000000000 u2)) (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 1))))))

simplify64.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
848×unswap-sqr_binary32
493×distribute-lft-out_binary32
441×times-frac_binary32
426×distribute-rgt-out_binary32
380×associate-/l*_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040579
1115543
2392504
31846488
46096488
Stop Event
1×node limit
Counts
100 → 83
Calls
Call 1
Inputs
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 2) u1))
(+.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 2) (pow.f32 u1 2))) (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 2) u1)))
(+.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 2) (pow.f32 u1 3))) (+.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 2) (pow.f32 u1 2))) (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 2) u1))))
(+.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 2) (pow.f32 u1 4))) (+.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 2) (pow.f32 u1 3))) (+.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 2) (pow.f32 u1 2))) (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 2) u1)))))
(*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(+.f32 (*.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (pow.f32 u2 2) u1)) (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 (*.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (pow.f32 u2 2) u1)) (+.f32 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) (*.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2)))))
(+.f32 (*.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (pow.f32 u2 2) u1)) (+.f32 (*.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (pow.f32 u2 2) (pow.f32 u1 3))) (+.f32 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) (*.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2))))))
(*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(+.f32 (*.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (pow.f32 u2 2) u1)) (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 (*.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (pow.f32 u2 2) u1)) (+.f32 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) (*.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2)))))
(+.f32 (*.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (pow.f32 u2 2) u1)) (+.f32 (*.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (pow.f32 u2 2) (pow.f32 u1 3))) (+.f32 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) (*.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2))))))
Outputs
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (*.f32 u2 u2) u1) (-.f32 1 u1)))
(/.f32 (*.f32 (*.f32 u2 u2) (*.f32 98696044010906577398881/2500000000000000000000 u1)) (-.f32 1 u1))
(/.f32 u2 (/.f32 (-.f32 2500000000000000000000/98696044010906577398881 (/.f32 u1 98696044010906577398881/2500000000000000000000)) (*.f32 u2 u1)))
(*.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (*.f32 u2 u2) u1) (-.f32 1 u1)))
(/.f32 (*.f32 (*.f32 u2 u2) (*.f32 98696044010906577398881/2500000000000000000000 u1)) (-.f32 1 u1))
(/.f32 u2 (/.f32 (-.f32 2500000000000000000000/98696044010906577398881 (/.f32 u1 98696044010906577398881/2500000000000000000000)) (*.f32 u2 u1)))
(*.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (*.f32 u2 u2) u1) (-.f32 1 u1)))
(/.f32 (*.f32 (*.f32 u2 u2) (*.f32 98696044010906577398881/2500000000000000000000 u1)) (-.f32 1 u1))
(/.f32 u2 (/.f32 (-.f32 2500000000000000000000/98696044010906577398881 (/.f32 u1 98696044010906577398881/2500000000000000000000)) (*.f32 u2 u1)))
(*.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (*.f32 u2 u2) u1) (-.f32 1 u1)))
(/.f32 (*.f32 (*.f32 u2 u2) (*.f32 98696044010906577398881/2500000000000000000000 u1)) (-.f32 1 u1))
(/.f32 u2 (/.f32 (-.f32 2500000000000000000000/98696044010906577398881 (/.f32 u1 98696044010906577398881/2500000000000000000000)) (*.f32 u2 u1)))
(*.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (*.f32 u2 u2) u1) (-.f32 1 u1)))
(/.f32 (*.f32 (*.f32 u2 u2) (*.f32 98696044010906577398881/2500000000000000000000 u1)) (-.f32 1 u1))
(/.f32 u2 (/.f32 (-.f32 2500000000000000000000/98696044010906577398881 (/.f32 u1 98696044010906577398881/2500000000000000000000)) (*.f32 u2 u1)))
(*.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (*.f32 u2 u2) u1) (-.f32 1 u1)))
(/.f32 (*.f32 (*.f32 u2 u2) (*.f32 98696044010906577398881/2500000000000000000000 u1)) (-.f32 1 u1))
(/.f32 u2 (/.f32 (-.f32 2500000000000000000000/98696044010906577398881 (/.f32 u1 98696044010906577398881/2500000000000000000000)) (*.f32 u2 u1)))
(*.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (*.f32 u2 u2) u1) (-.f32 1 u1)))
(/.f32 (*.f32 (*.f32 u2 u2) (*.f32 98696044010906577398881/2500000000000000000000 u1)) (-.f32 1 u1))
(/.f32 u2 (/.f32 (-.f32 2500000000000000000000/98696044010906577398881 (/.f32 u1 98696044010906577398881/2500000000000000000000)) (*.f32 u2 u1)))
(*.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (*.f32 u2 u2) u1) (-.f32 1 u1)))
(/.f32 (*.f32 (*.f32 u2 u2) (*.f32 98696044010906577398881/2500000000000000000000 u1)) (-.f32 1 u1))
(/.f32 u2 (/.f32 (-.f32 2500000000000000000000/98696044010906577398881 (/.f32 u1 98696044010906577398881/2500000000000000000000)) (*.f32 u2 u1)))
(*.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (*.f32 u2 u2) u1) (-.f32 1 u1)))
(/.f32 (*.f32 (*.f32 u2 u2) (*.f32 98696044010906577398881/2500000000000000000000 u1)) (-.f32 1 u1))
(/.f32 u2 (/.f32 (-.f32 2500000000000000000000/98696044010906577398881 (/.f32 u1 98696044010906577398881/2500000000000000000000)) (*.f32 u2 u1)))
(*.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (*.f32 u2 u2) u1) (-.f32 1 u1)))
(/.f32 (*.f32 (*.f32 u2 u2) (*.f32 98696044010906577398881/2500000000000000000000 u1)) (-.f32 1 u1))
(/.f32 u2 (/.f32 (-.f32 2500000000000000000000/98696044010906577398881 (/.f32 u1 98696044010906577398881/2500000000000000000000)) (*.f32 u2 u1)))
(*.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (*.f32 u2 u2) u1) (-.f32 1 u1)))
(/.f32 (*.f32 (*.f32 u2 u2) (*.f32 98696044010906577398881/2500000000000000000000 u1)) (-.f32 1 u1))
(/.f32 u2 (/.f32 (-.f32 2500000000000000000000/98696044010906577398881 (/.f32 u1 98696044010906577398881/2500000000000000000000)) (*.f32 u2 u1)))
(*.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (*.f32 u2 u2) u1) (-.f32 1 u1)))
(/.f32 (*.f32 (*.f32 u2 u2) (*.f32 98696044010906577398881/2500000000000000000000 u1)) (-.f32 1 u1))
(/.f32 u2 (/.f32 (-.f32 2500000000000000000000/98696044010906577398881 (/.f32 u1 98696044010906577398881/2500000000000000000000)) (*.f32 u2 u1)))
(*.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 2) u1))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (*.f32 u2 u2) u1))
(*.f32 (*.f32 u2 u2) (*.f32 98696044010906577398881/2500000000000000000000 u1))
(+.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 2) (pow.f32 u1 2))) (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 2) u1)))
(*.f32 98696044010906577398881/2500000000000000000000 (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 u1 u1)) (*.f32 (*.f32 u2 u2) u1)))
(*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (+.f32 (*.f32 u1 u1) u1))
(*.f32 (*.f32 u2 u2) (*.f32 98696044010906577398881/2500000000000000000000 (fma.f32 u1 u1 u1)))
(*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (fma.f32 u1 u1 u1))
(+.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 2) (pow.f32 u1 3))) (+.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 2) (pow.f32 u1 2))) (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 2) u1))))
(fma.f32 98696044010906577398881/2500000000000000000000 (*.f32 (*.f32 u2 u2) (pow.f32 u1 3)) (*.f32 98696044010906577398881/2500000000000000000000 (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 u1 u1)) (*.f32 (*.f32 u2 u2) u1))))
(*.f32 98696044010906577398881/2500000000000000000000 (+.f32 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 u1 u1) u1)) (*.f32 u2 (*.f32 u2 (pow.f32 u1 3)))))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (*.f32 u2 u2) (+.f32 (pow.f32 u1 3) (fma.f32 u1 u1 u1))))
(*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (+.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1))))
(+.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 2) (pow.f32 u1 4))) (+.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 2) (pow.f32 u1 3))) (+.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 2) (pow.f32 u1 2))) (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 2) u1)))))
(fma.f32 98696044010906577398881/2500000000000000000000 (*.f32 (*.f32 u2 u2) (pow.f32 u1 4)) (fma.f32 98696044010906577398881/2500000000000000000000 (*.f32 (*.f32 u2 u2) (pow.f32 u1 3)) (*.f32 98696044010906577398881/2500000000000000000000 (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 u1 u1)) (*.f32 (*.f32 u2 u2) u1)))))
(+.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (+.f32 (*.f32 u1 u1) u1)) (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (+.f32 (pow.f32 u1 4) (pow.f32 u1 3))))
(*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (+.f32 (fma.f32 u1 u1 u1) (+.f32 (pow.f32 u1 3) (pow.f32 u1 4))))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (*.f32 u2 u2) (*.f32 (+.f32 u1 1) (+.f32 u1 (pow.f32 u1 3)))))
(*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 (*.f32 u2 u2) -98696044010906577398881/2500000000000000000000)
(*.f32 u2 (*.f32 u2 -98696044010906577398881/2500000000000000000000))
(+.f32 (*.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (pow.f32 u2 2) u1)) (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(*.f32 -98696044010906577398881/2500000000000000000000 (+.f32 (/.f32 (*.f32 u2 u2) u1) (*.f32 u2 u2)))
(*.f32 -98696044010906577398881/2500000000000000000000 (+.f32 (*.f32 u2 u2) (/.f32 u2 (/.f32 u1 u2))))
(*.f32 -98696044010906577398881/2500000000000000000000 (fma.f32 u2 u2 (*.f32 (/.f32 u2 u1) u2)))
(*.f32 (*.f32 u2 u2) (+.f32 -98696044010906577398881/2500000000000000000000 (/.f32 -98696044010906577398881/2500000000000000000000 u1)))
(+.f32 (*.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (pow.f32 u2 2) u1)) (+.f32 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) (*.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2)))))
(fma.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 u2 u2) u1) (*.f32 -98696044010906577398881/2500000000000000000000 (+.f32 (*.f32 u2 u2) (/.f32 (*.f32 u2 u2) (*.f32 u1 u1)))))
(*.f32 -98696044010906577398881/2500000000000000000000 (+.f32 (fma.f32 u2 u2 (/.f32 (*.f32 u2 u2) (*.f32 u1 u1))) (/.f32 u2 (/.f32 u1 u2))))
(fma.f32 u2 (*.f32 u2 -98696044010906577398881/2500000000000000000000) (*.f32 (*.f32 (/.f32 u2 u1) u2) (+.f32 -98696044010906577398881/2500000000000000000000 (/.f32 -98696044010906577398881/2500000000000000000000 u1))))
(*.f32 -98696044010906577398881/2500000000000000000000 (+.f32 (*.f32 u2 u2) (*.f32 (/.f32 u2 u1) (+.f32 u2 (/.f32 u2 u1)))))
(+.f32 (*.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (pow.f32 u2 2) u1)) (+.f32 (*.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (pow.f32 u2 2) (pow.f32 u1 3))) (+.f32 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) (*.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2))))))
(fma.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 u2 u2) u1) (fma.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 u2 u2) (pow.f32 u1 3)) (*.f32 -98696044010906577398881/2500000000000000000000 (+.f32 (*.f32 u2 u2) (/.f32 (*.f32 u2 u2) (*.f32 u1 u1))))))
(fma.f32 -98696044010906577398881/2500000000000000000000 (/.f32 u2 (/.f32 u1 u2)) (*.f32 -98696044010906577398881/2500000000000000000000 (+.f32 (fma.f32 u2 u2 (/.f32 (*.f32 u2 u2) (*.f32 u1 u1))) (/.f32 u2 (/.f32 (pow.f32 u1 3) u2)))))
(+.f32 (*.f32 -98696044010906577398881/2500000000000000000000 (fma.f32 u2 u2 (*.f32 (/.f32 u2 u1) u2))) (*.f32 (*.f32 (/.f32 u2 u1) (/.f32 u2 u1)) (+.f32 -98696044010906577398881/2500000000000000000000 (/.f32 -98696044010906577398881/2500000000000000000000 u1))))
(*.f32 -98696044010906577398881/2500000000000000000000 (+.f32 (*.f32 u2 (+.f32 u2 (/.f32 u2 u1))) (*.f32 (/.f32 u2 (*.f32 u1 u1)) (+.f32 u2 (/.f32 u2 u1)))))
(*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 (*.f32 u2 u2) -98696044010906577398881/2500000000000000000000)
(*.f32 u2 (*.f32 u2 -98696044010906577398881/2500000000000000000000))
(+.f32 (*.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (pow.f32 u2 2) u1)) (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(*.f32 -98696044010906577398881/2500000000000000000000 (+.f32 (/.f32 (*.f32 u2 u2) u1) (*.f32 u2 u2)))
(*.f32 -98696044010906577398881/2500000000000000000000 (+.f32 (*.f32 u2 u2) (/.f32 u2 (/.f32 u1 u2))))
(*.f32 -98696044010906577398881/2500000000000000000000 (fma.f32 u2 u2 (*.f32 (/.f32 u2 u1) u2)))
(*.f32 (*.f32 u2 u2) (+.f32 -98696044010906577398881/2500000000000000000000 (/.f32 -98696044010906577398881/2500000000000000000000 u1)))
(+.f32 (*.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (pow.f32 u2 2) u1)) (+.f32 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) (*.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2)))))
(fma.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 u2 u2) u1) (*.f32 -98696044010906577398881/2500000000000000000000 (+.f32 (*.f32 u2 u2) (/.f32 (*.f32 u2 u2) (*.f32 u1 u1)))))
(*.f32 -98696044010906577398881/2500000000000000000000 (+.f32 (fma.f32 u2 u2 (/.f32 (*.f32 u2 u2) (*.f32 u1 u1))) (/.f32 u2 (/.f32 u1 u2))))
(fma.f32 u2 (*.f32 u2 -98696044010906577398881/2500000000000000000000) (*.f32 (*.f32 (/.f32 u2 u1) u2) (+.f32 -98696044010906577398881/2500000000000000000000 (/.f32 -98696044010906577398881/2500000000000000000000 u1))))
(*.f32 -98696044010906577398881/2500000000000000000000 (+.f32 (*.f32 u2 u2) (*.f32 (/.f32 u2 u1) (+.f32 u2 (/.f32 u2 u1)))))
(+.f32 (*.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (pow.f32 u2 2) u1)) (+.f32 (*.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (pow.f32 u2 2) (pow.f32 u1 3))) (+.f32 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) (*.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2))))))
(fma.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 u2 u2) u1) (fma.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 u2 u2) (pow.f32 u1 3)) (*.f32 -98696044010906577398881/2500000000000000000000 (+.f32 (*.f32 u2 u2) (/.f32 (*.f32 u2 u2) (*.f32 u1 u1))))))
(fma.f32 -98696044010906577398881/2500000000000000000000 (/.f32 u2 (/.f32 u1 u2)) (*.f32 -98696044010906577398881/2500000000000000000000 (+.f32 (fma.f32 u2 u2 (/.f32 (*.f32 u2 u2) (*.f32 u1 u1))) (/.f32 u2 (/.f32 (pow.f32 u1 3) u2)))))
(+.f32 (*.f32 -98696044010906577398881/2500000000000000000000 (fma.f32 u2 u2 (*.f32 (/.f32 u2 u1) u2))) (*.f32 (*.f32 (/.f32 u2 u1) (/.f32 u2 u1)) (+.f32 -98696044010906577398881/2500000000000000000000 (/.f32 -98696044010906577398881/2500000000000000000000 u1))))
(*.f32 -98696044010906577398881/2500000000000000000000 (+.f32 (*.f32 u2 (+.f32 u2 (/.f32 u2 u1))) (*.f32 (/.f32 u2 (*.f32 u1 u1)) (+.f32 u2 (/.f32 u2 u1)))))

localize97.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(sin.f32 (*.f32 u2 314159265359/50000000000))
✓0.3b
(*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
✓0.4b
(*.f32 u2 314159265359/50000000000)
✓0.5b
(pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)
Compiler

Compiled 54 to 40 computations (25.9% saved)

series9.0ms (0.1%)

Counts
4 → 60
Calls

15 calls:

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

rewrite95.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
561×log-prod_binary32
338×pow-prod-down_binary32
306×pow2_binary32
271×prod-diff_binary32
214×pow1/3_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01237
125337
2307237
Stop Event
1×node limit
Counts
4 → 106
Calls
Call 1
Inputs
(pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)
(*.f32 u2 314159265359/50000000000)
(*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(sin.f32 (*.f32 u2 314159265359/50000000000))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 314159265359/50000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u2 314159265359/50000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000))) 2))))))
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simplify68.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
595×times-frac_binary32
530×fma-def_binary32
499×fma-neg_binary32
425×unswap-sqr_binary32
376×distribute-rgt-out_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
091997
1261965
2777908
33200872
Stop Event
1×node limit
Counts
166 → 152
Calls
Call 1
Inputs
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(+.f32 (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (*.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))
(+.f32 (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (*.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 (*.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))))
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1)
(+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)))
(+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3)) (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))))
(+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3)) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 4)))))
(*.f32 -1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))
(+.f32 (*.f32 -1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1)))
(+.f32 (*.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (+.f32 (*.f32 -1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1))))
(+.f32 (*.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (+.f32 (*.f32 -1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (+.f32 (*.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1)) (*.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3))))))
(*.f32 -1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))
(+.f32 (*.f32 -1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1)))
(+.f32 (*.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (+.f32 (*.f32 -1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1))))
(+.f32 (*.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (+.f32 (*.f32 -1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (+.f32 (*.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1)) (*.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3))))))
(*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(+.f32 (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (*.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))))
(+.f32 (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (*.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (+.f32 (*.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (/.f32 (*.f32 (pow.f32 u2 6) u1) (-.f32 1 u1))) (*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))))
(+.f32 (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (*.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (+.f32 (*.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f32 (*.f32 (pow.f32 u2 8) u1) (-.f32 1 u1))) (+.f32 (*.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (/.f32 (*.f32 (pow.f32 u2 6) u1) (-.f32 1 u1))) (*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))))))
(/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(*.f32 314159265359/50000000000 u2)
(+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
Outputs
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))
(+.f32 (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))
(fma.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)))
(+.f32 (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (*.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) (*.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))))
(fma.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (*.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))))
(fma.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) (fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (*.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 (*.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (fma.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8) (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (fma.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) (*.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8)))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) (fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (*.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8)))))
(fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8) (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1)
(*.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1)
(+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)))
(*.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 u1 (*.f32 u1 u1)))
(*.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (fma.f32 u1 u1 u1))
(+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3)) (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 (pow.f32 u1 3) (*.f32 u1 u1))))
(*.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 u1 (+.f32 (*.f32 u1 u1) (pow.f32 u1 3))))
(*.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3)) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 4)))))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (pow.f32 u1 3) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 (*.f32 u1 u1) (pow.f32 u1 4)))))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 (pow.f32 u1 3) (fma.f32 u1 u1 (pow.f32 u1 4)))))
(*.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(*.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (*.f32 (fma.f32 u1 u1 1) (fma.f32 u1 u1 u1)))
(*.f32 -1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(+.f32 (*.f32 -1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1)))
(*.f32 -1 (+.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1)))
(-.f32 (neg.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1)) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(-.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1))
(*.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 -1 (/.f32 -1 u1)))
(+.f32 (*.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (+.f32 (*.f32 -1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1))))
(fma.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (*.f32 u1 u1)) (*.f32 -1 (+.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1))))
(-.f32 (-.f32 (neg.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1)) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (*.f32 u1 u1)))
(-.f32 (*.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1) (+.f32 -1 (/.f32 -1 u1))) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(fma.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1) (+.f32 -1 (/.f32 -1 u1)) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(+.f32 (*.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (+.f32 (*.f32 -1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (+.f32 (*.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1)) (*.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3))))))
(fma.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (*.f32 u1 u1)) (fma.f32 -1 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (*.f32 -1 (+.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1) (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (pow.f32 u1 3))))))
(-.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1)) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (pow.f32 u1 3))) (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (*.f32 u1 u1)))
(-.f32 (-.f32 (*.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1) (+.f32 -1 (/.f32 -1 u1))) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (pow.f32 u1 3)))
(-.f32 (*.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1) (+.f32 -1 (+.f32 (/.f32 (/.f32 -1 u1) u1) (/.f32 -1 u1)))) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(*.f32 -1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(+.f32 (*.f32 -1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1)))
(*.f32 -1 (+.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1)))
(-.f32 (neg.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1)) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(-.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1))
(*.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 -1 (/.f32 -1 u1)))
(+.f32 (*.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (+.f32 (*.f32 -1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1))))
(fma.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (*.f32 u1 u1)) (*.f32 -1 (+.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1))))
(-.f32 (-.f32 (neg.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1)) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (*.f32 u1 u1)))
(-.f32 (*.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1) (+.f32 -1 (/.f32 -1 u1))) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(fma.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1) (+.f32 -1 (/.f32 -1 u1)) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(+.f32 (*.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (+.f32 (*.f32 -1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (+.f32 (*.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1)) (*.f32 -1 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3))))))
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(fma.f32 98696044010906577398881/2500000000000000000000 (*.f32 u1 (/.f32 u2 (/.f32 (-.f32 1 u1) u2))) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 u2 4))))
(*.f32 u1 (+.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (-.f32 1 u1)) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (-.f32 1 u1)))))
(+.f32 (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (*.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (+.f32 (*.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (/.f32 (*.f32 (pow.f32 u2 6) u1) (-.f32 1 u1))) (*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (/.f32 (-.f32 1 u1) u1)) (fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 6) (/.f32 (-.f32 1 u1) u1)) (*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1)))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (/.f32 (-.f32 1 u1) u1)) (fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (*.f32 (/.f32 (pow.f32 u2 6) (-.f32 1 u1)) u1) (/.f32 98696044010906577398881/2500000000000000000000 (/.f32 (-.f32 1 u1) (*.f32 u2 (*.f32 u2 u1))))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 u2 4)) (fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 u2 6)) (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 u1) (/.f32 (-.f32 1 u1) (*.f32 u2 u2)))))
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(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (/.f32 (-.f32 1 u1) u1)) (fma.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 8) (/.f32 (-.f32 1 u1) u1)) (fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 6) (/.f32 (-.f32 1 u1) u1)) (*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (/.f32 (-.f32 1 u1) u1)) (fma.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (/.f32 (pow.f32 u2 8) (-.f32 1 u1)) u1) (fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (*.f32 (/.f32 (pow.f32 u2 6) (-.f32 1 u1)) u1) (/.f32 98696044010906577398881/2500000000000000000000 (/.f32 (-.f32 1 u1) (*.f32 u2 (*.f32 u2 u1)))))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 u2 4)) (fma.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 u1 (/.f32 (pow.f32 u2 8) (-.f32 1 u1))) (fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 u2 6)) (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 u1) (/.f32 (-.f32 1 u1) (*.f32 u2 u2))))))
(fma.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f32 u1 (/.f32 (-.f32 1 u1) (pow.f32 u2 8))) (fma.f32 98696044010906577398881/2500000000000000000000 (*.f32 u1 (/.f32 u2 (/.f32 (-.f32 1 u1) u2))) (*.f32 u1 (+.f32 (/.f32 (*.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (-.f32 1 u1)) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (-.f32 1 u1)))))))
(/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))
(*.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)) u1)
(*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))
(*.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)) u1)
(*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))
(*.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)) u1)
(*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))
(*.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)) u1)
(*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
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(/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))
(*.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)) u1)
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(/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))
(*.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)) u1)
(*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))
(*.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)) u1)
(*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))
(*.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)) u1)
(*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
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(fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(fma.f32 u2 314159265359/50000000000 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(fma.f32 314159265359/50000000000 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
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(fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 314159265359/50000000000 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
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(fma.f32 u2 314159265359/50000000000 (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 314159265359/50000000000))

eval449.0ms (3.2%)

Compiler

Compiled 13471 to 10014 computations (25.7% saved)

prune261.0ms (1.9%)

Pruning

62 alts after pruning (52 fresh and 10 done)

PrunedKeptTotal
New65911670
Fresh54146
Picked101
Done31013
Total66862730
Error
0.0b
Counts
730 → 62
Alt Table
Click to see full alt table
StatusErrorProgram
1.7b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) 2))
5.4b
(sqrt.f32 (/.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) u1) (-.f32 1 u1)))
5.7b
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 314159265359/50000000000 u2)))
✓0.5b
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
8.9b
(*.f32 (sqrt.f32 u1) (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
0.8b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) 3))
3.1b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
6.0b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)))
5.6b
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
30.5b
(*.f32 (*.f32 314159265359/50000000000 u2) (neg.f32 u1))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
5.5b
(sqrt.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (-.f32 (/.f32 1 u1) 1)))
11.7b
(sqrt.f32 (*.f32 (*.f32 u2 u2) (*.f32 98696044010906577398881/2500000000000000000000 u1)))
0.6b
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
8.9b
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
5.4b
(sqrt.f32 (*.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2)))
25.7b
(*.f32 (*.f32 314159265359/50000000000 u2) u1)
30.5b
(*.f32 (*.f32 u1 u2) -314159265359/50000000000)
0.7b
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))))
✓0.5b
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
✓8.9b
(*.f32 (*.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
25.6b
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
11.7b
(sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
✓11.7b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
✓4.9b
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
8.2b
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (pow.f32 u1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))
5.6b
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
19.6b
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (-.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 u2 314159265359/50000000000)))))))
✓25.7b
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
5.6b
(sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
5.6b
(*.f32 314159265359/50000000000 (/.f32 (*.f32 (sqrt.f32 u1) u2) (sqrt.f32 (-.f32 1 u1))))
5.5b
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (*.f32 314159265359/50000000000 u2))
✓5.6b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
5.6b
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
4.3b
(pow.f32 (sqrt.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 2)) (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))) 2)
5.5b
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
13.8b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))))
11.8b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (/.f32 1 u1) -1/2)))
5.6b
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
8.9b
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
8.9b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
0.5b
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
1.1b
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 5/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
✓5.6b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
0.6b
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
28.1b
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 u1))) 1)
5.5b
(sqrt.f32 (*.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (*.f32 314159265359/50000000000 u2)) (/.f32 u1 (-.f32 1 u1))))
3.4b
(sqrt.f32 (*.f32 u1 (+.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (-.f32 1 u1)) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (-.f32 1 u1))))))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
19.5b
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))) 1)
6.2b
(*.f32 314159265359/50000000000 (*.f32 u2 (exp.f32 (*.f32 (*.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))))
3.5b
(sqrt.f32 (+.f32 (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (*.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))))
24.4b
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
0.6b
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
12.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
5.6b
(*.f32 314159265359/50000000000 (*.f32 u2 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
25.1b
(*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
9.5b
(sqrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1))
23.1b
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
0.7b
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))
8.9b
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
11.7b
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
Compiler

Compiled 973 to 764 computations (21.5% saved)

regimes1.7s (12.4%)

Counts
104 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 314159265359/50000000000 u2) u1)
(*.f32 (*.f32 u1 u2) -314159265359/50000000000)
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 (*.f32 314159265359/50000000000 u2) (neg.f32 u1))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 u1))) 1)
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(sqrt.f32 (*.f32 (*.f32 u2 u2) (*.f32 98696044010906577398881/2500000000000000000000 u1)))
(sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
(*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (/.f32 1 u1) -1/2)))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(sqrt.f32 (/.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) u1) (-.f32 1 u1)))
(sqrt.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (*.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
(sqrt.f32 (*.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (*.f32 314159265359/50000000000 u2)) (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 (*.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(/.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(*.f32 314159265359/50000000000 (/.f32 (*.f32 (sqrt.f32 u1) u2) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(sqrt.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)))
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (exp.f32 (*.f32 (*.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (-.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 u2 314159265359/50000000000)))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 314159265359/50000000000 u2)))
(sqrt.f32 (*.f32 u1 (+.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (-.f32 1 u1)) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (-.f32 1 u1))))))
(*.f32 (sqrt.f32 (+.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(sqrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1))
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (pow.f32 (fma.f32 u1 u1 u1) 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 314159265359/50000000000 u2))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (sqrt.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(*.f32 (sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (pow.f32 u1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(sqrt.f32 (+.f32 (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (*.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (*.f32 98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))))
(sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) 2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) 3))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))) 1)
(*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 1)
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (-.f32 1 u1) -1/2) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (-.f32 1 u1) -1/2) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 5/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 5/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))))
(pow.f32 (E.f32) (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))) 2)
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
(pow.f32 (sqrt.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 2)) (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))) 2)
Outputs
(*.f32 (sqrt.f32 (+.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Calls

11 calls:

637.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
180.0ms
(/.f32 u1 (-.f32 1 u1))
175.0ms
(/.f32 u1 (-.f32 1 u1))
98.0ms
(*.f32 314159265359/50000000000 u2)
93.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
Results
ErrorSegmentsBranch
0.5b1cosTheta_i
0.5b1u1
0.5b1u2
0.5b1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.5b1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.5b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
0.5b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
0.5b1(/.f32 u1 (-.f32 1 u1))
0.5b1(/.f32 u1 (-.f32 1 u1))
0.5b1(sin.f32 (*.f32 314159265359/50000000000 u2))
0.5b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 1507 to 1079 computations (28.4% saved)

regimes500.0ms (3.6%)

Counts
55 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 314159265359/50000000000 u2) u1)
(*.f32 (*.f32 u1 u2) -314159265359/50000000000)
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 (*.f32 314159265359/50000000000 u2) (neg.f32 u1))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 u1))) 1)
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(sqrt.f32 (*.f32 (*.f32 u2 u2) (*.f32 98696044010906577398881/2500000000000000000000 u1)))
(sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
(*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (/.f32 1 u1) -1/2)))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(sqrt.f32 (/.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) u1) (-.f32 1 u1)))
(sqrt.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (*.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
(sqrt.f32 (*.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (*.f32 314159265359/50000000000 u2)) (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 (*.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(/.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(*.f32 314159265359/50000000000 (/.f32 (*.f32 (sqrt.f32 u1) u2) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(sqrt.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)))
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (exp.f32 (*.f32 (*.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (-.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 u2 314159265359/50000000000)))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 314159265359/50000000000 u2)))
(sqrt.f32 (*.f32 u1 (+.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (-.f32 1 u1)) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (-.f32 1 u1))))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Calls

8 calls:

80.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
72.0ms
(*.f32 314159265359/50000000000 u2)
69.0ms
(/.f32 u1 (-.f32 1 u1))
65.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
55.0ms
u1
Results
ErrorSegmentsBranch
0.5b1cosTheta_i
0.5b1u1
0.5b1u2
0.5b1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.5b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
0.5b1(/.f32 u1 (-.f32 1 u1))
0.5b1(sin.f32 (*.f32 314159265359/50000000000 u2))
0.5b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 667 to 457 computations (31.5% saved)

regimes778.0ms (5.6%)

Counts
41 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 314159265359/50000000000 u2) u1)
(*.f32 (*.f32 u1 u2) -314159265359/50000000000)
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 (*.f32 314159265359/50000000000 u2) (neg.f32 u1))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 u1))) 1)
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(sqrt.f32 (*.f32 (*.f32 u2 u2) (*.f32 98696044010906577398881/2500000000000000000000 u1)))
(sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
(*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (/.f32 1 u1) -1/2)))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(sqrt.f32 (/.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) u1) (-.f32 1 u1)))
(sqrt.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (*.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
(sqrt.f32 (*.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (*.f32 314159265359/50000000000 u2)) (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 (*.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(/.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(*.f32 314159265359/50000000000 (/.f32 (*.f32 (sqrt.f32 u1) u2) (sqrt.f32 (-.f32 1 u1))))
Outputs
(sqrt.f32 (*.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Calls

11 calls:

129.0ms
u2
92.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
83.0ms
(/.f32 u1 (-.f32 1 u1))
76.0ms
u1
69.0ms
(/.f32 u1 (-.f32 1 u1))
Results
ErrorSegmentsBranch
5.4b1cosTheta_i
3.4b2u1
2.9b2u2
3.4b2(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
3.4b2(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
3.4b2(/.f32 u1 (-.f32 1 u1))
3.4b2(/.f32 u1 (-.f32 1 u1))
3.5b2(sin.f32 (*.f32 314159265359/50000000000 u2))
3.5b2(sin.f32 (*.f32 314159265359/50000000000 u2))
2.9b2(*.f32 314159265359/50000000000 u2)
2.9b2(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 469 to 310 computations (33.9% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.009623082354664803
0.010024594143033028
Compiler

Compiled 20 to 16 computations (20% saved)

regimes186.0ms (1.3%)

Counts
31 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 314159265359/50000000000 u2) u1)
(*.f32 (*.f32 u1 u2) -314159265359/50000000000)
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 (*.f32 314159265359/50000000000 u2) (neg.f32 u1))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 u1))) 1)
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(sqrt.f32 (*.f32 (*.f32 u2 u2) (*.f32 98696044010906577398881/2500000000000000000000 u1)))
(sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
(*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (/.f32 1 u1) -1/2)))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(sqrt.f32 (/.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) u1) (-.f32 1 u1)))
(sqrt.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (*.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
(sqrt.f32 (*.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (*.f32 314159265359/50000000000 u2)) (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1)))))
Outputs
(sqrt.f32 (*.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2)))
Calls

11 calls:

17.0ms
u1
17.0ms
u2
17.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
16.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
16.0ms
(*.f32 314159265359/50000000000 u2)
Results
ErrorSegmentsBranch
5.4b1cosTheta_i
5.4b1u1
5.4b1u2
5.4b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
5.4b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
5.4b1(/.f32 u1 (-.f32 1 u1))
5.4b1(/.f32 u1 (-.f32 1 u1))
5.4b1(sin.f32 (*.f32 314159265359/50000000000 u2))
5.4b1(sin.f32 (*.f32 314159265359/50000000000 u2))
5.4b1(*.f32 314159265359/50000000000 u2)
5.4b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 383 to 266 computations (30.5% saved)

regimes146.0ms (1.1%)

Counts
22 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 314159265359/50000000000 u2) u1)
(*.f32 (*.f32 u1 u2) -314159265359/50000000000)
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 (*.f32 314159265359/50000000000 u2) (neg.f32 u1))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 u1))) 1)
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(sqrt.f32 (*.f32 (*.f32 u2 u2) (*.f32 98696044010906577398881/2500000000000000000000 u1)))
(sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
(*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (/.f32 1 u1) -1/2)))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(sqrt.f32 (/.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) u1) (-.f32 1 u1)))
(sqrt.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (-.f32 (/.f32 1 u1) 1)))
Outputs
(sqrt.f32 (/.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) u1) (-.f32 1 u1)))
Calls

11 calls:

15.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
13.0ms
(*.f32 314159265359/50000000000 u2)
13.0ms
cosTheta_i
12.0ms
(/.f32 u1 (-.f32 1 u1))
12.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
Results
ErrorSegmentsBranch
5.4b1cosTheta_i
5.4b1u1
5.4b1u2
5.4b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
5.4b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
5.4b1(/.f32 u1 (-.f32 1 u1))
5.4b1(/.f32 u1 (-.f32 1 u1))
5.4b1(sin.f32 (*.f32 314159265359/50000000000 u2))
5.4b1(sin.f32 (*.f32 314159265359/50000000000 u2))
5.4b1(*.f32 314159265359/50000000000 u2)
5.4b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 263 to 183 computations (30.4% saved)

regimes94.0ms (0.7%)

Counts
20 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 314159265359/50000000000 u2) u1)
(*.f32 (*.f32 u1 u2) -314159265359/50000000000)
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 (*.f32 314159265359/50000000000 u2) (neg.f32 u1))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 u1))) 1)
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(sqrt.f32 (*.f32 (*.f32 u2 u2) (*.f32 98696044010906577398881/2500000000000000000000 u1)))
(sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
(*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (/.f32 1 u1) -1/2)))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
Outputs
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
Calls

8 calls:

11.0ms
(*.f32 314159265359/50000000000 u2)
11.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
11.0ms
u1
11.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
11.0ms
u2
Results
ErrorSegmentsBranch
5.5b1cosTheta_i
5.5b1u1
5.5b1u2
5.5b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
5.5b1(/.f32 u1 (-.f32 1 u1))
5.5b1(sin.f32 (*.f32 314159265359/50000000000 u2))
5.5b1(sin.f32 (*.f32 314159265359/50000000000 u2))
5.5b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 216 to 150 computations (30.6% saved)

regimes59.0ms (0.4%)

Counts
12 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 314159265359/50000000000 u2) u1)
(*.f32 (*.f32 u1 u2) -314159265359/50000000000)
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 (*.f32 314159265359/50000000000 u2) (neg.f32 u1))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 u1))) 1)
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(sqrt.f32 (*.f32 (*.f32 u2 u2) (*.f32 98696044010906577398881/2500000000000000000000 u1)))
(sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
(*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (/.f32 1 u1) -1/2)))
Outputs
(sqrt.f32 (*.f32 (*.f32 u2 u2) (*.f32 98696044010906577398881/2500000000000000000000 u1)))
Calls

7 calls:

9.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
8.0ms
u1
8.0ms
(*.f32 314159265359/50000000000 u2)
7.0ms
cosTheta_i
7.0ms
(*.f32 314159265359/50000000000 u2)
Results
ErrorSegmentsBranch
11.7b1cosTheta_i
11.7b1u1
11.7b1u2
11.7b1(sin.f32 (*.f32 314159265359/50000000000 u2))
11.7b1(sin.f32 (*.f32 314159265359/50000000000 u2))
11.7b1(*.f32 314159265359/50000000000 u2)
11.7b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 124 to 86 computations (30.6% saved)

regimes36.0ms (0.3%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 314159265359/50000000000 u2) u1)
(*.f32 (*.f32 u1 u2) -314159265359/50000000000)
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 (*.f32 314159265359/50000000000 u2) (neg.f32 u1))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 u1))) 1)
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
Outputs
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
Calls

6 calls:

7.0ms
(*.f32 314159265359/50000000000 u2)
6.0ms
u2
6.0ms
cosTheta_i
5.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
5.0ms
(*.f32 314159265359/50000000000 u2)
Results
ErrorSegmentsBranch
11.7b1cosTheta_i
11.7b1u1
11.7b1u2
11.7b1(sin.f32 (*.f32 314159265359/50000000000 u2))
11.7b1(*.f32 314159265359/50000000000 u2)
11.7b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 76 to 55 computations (27.6% saved)

regimes27.0ms (0.2%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 314159265359/50000000000 u2) u1)
(*.f32 (*.f32 u1 u2) -314159265359/50000000000)
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 (*.f32 314159265359/50000000000 u2) (neg.f32 u1))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 u1))) 1)
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
Outputs
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
Calls

5 calls:

6.0ms
(*.f32 314159265359/50000000000 u2)
5.0ms
u1
5.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
5.0ms
u2
4.0ms
cosTheta_i
Results
ErrorSegmentsBranch
25.6b1cosTheta_i
25.6b1u1
25.6b1u2
25.6b1(sin.f32 (*.f32 314159265359/50000000000 u2))
25.6b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 64 to 46 computations (28.1% saved)

regimes20.0ms (0.1%)

Accuracy

Total -4.9b remaining (-19.2%)

Threshold costs -4.9b (-19.2%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 314159265359/50000000000 u2) u1)
(*.f32 (*.f32 u1 u2) -314159265359/50000000000)
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 (*.f32 314159265359/50000000000 u2) (neg.f32 u1))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 u1))) 1)
Outputs
(*.f32 (*.f32 314159265359/50000000000 u2) u1)
Calls

4 calls:

5.0ms
u2
4.0ms
u1
4.0ms
(*.f32 314159265359/50000000000 u2)
4.0ms
cosTheta_i
Results
ErrorSegmentsBranch
25.7b1cosTheta_i
25.7b1u1
25.7b1u2
25.7b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 51 to 36 computations (29.4% saved)

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
16×*-commutative_binary32
5×+-commutative_binary32
4×sub-neg_binary32
2×neg-sub0_binary32
2×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041178
164178
272178
376178
478178
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (+.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(if (<=.f32 (*.f32 314159265359/50000000000 u2) 5368709/536870912) (sqrt.f32 (*.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(sqrt.f32 (*.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2)))
(sqrt.f32 (/.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) u1) (-.f32 1 u1)))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (*.f32 (*.f32 u2 u2) (*.f32 98696044010906577398881/2500000000000000000000 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
(*.f32 (*.f32 314159265359/50000000000 u2) u1)
Outputs
(*.f32 (sqrt.f32 (+.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(if (<=.f32 (*.f32 314159265359/50000000000 u2) 5368709/536870912) (sqrt.f32 (*.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(if (<=.f32 (*.f32 314159265359/50000000000 u2) 5368709/536870912) (sqrt.f32 (*.f32 (/.f32 (*.f32 u1 98696044010906577398881/2500000000000000000000) (-.f32 1 u1)) (*.f32 u2 u2))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))
(sqrt.f32 (*.f32 (/.f32 (*.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2)))
(sqrt.f32 (*.f32 (/.f32 (*.f32 u1 98696044010906577398881/2500000000000000000000) (-.f32 1 u1)) (*.f32 u2 u2)))
(sqrt.f32 (/.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) u1) (-.f32 1 u1)))
(sqrt.f32 (/.f32 (*.f32 u1 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))) (-.f32 1 u1)))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (*.f32 (*.f32 u2 u2) (*.f32 98696044010906577398881/2500000000000000000000 u1)))
(sqrt.f32 (*.f32 (*.f32 u1 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
(*.f32 u1 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (*.f32 314159265359/50000000000 u2) u1)
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
Compiler

Compiled 148 to 108 computations (27% saved)

soundness0.0ms (0%)

end69.0ms (0.5%)

Compiler

Compiled 121 to 77 computations (36.4% saved)

Profiling

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