Details

Time bar (total: 13.7s)

analyze249.0ms (1.8%)

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)

sample2.2s (15.9%)

Results
2.2s8256×body256valid
1.0ms4×body256precondition
Bogosity

preprocess25.0ms (0.2%)

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)

simplify10.0ms (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)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 14 to 11 computations (21.4% saved)

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 39 to 27 computations (30.8% saved)

series12.0ms (0.1%)

Counts
4 → 36
Calls

15 calls:

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

rewrite87.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
532×log-prod_binary32
403×exp-prod_binary32
325×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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 314159265359/50000000000 u2)
(/.f32 u1 (-.f32 1 u1))
(sin.f32 (*.f32 314159265359/50000000000 u2))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 314159265359/50000000000 u2))))) (#(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 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 314159265359/50000000000 u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 314159265359/50000000000 u2))) 2)) (cbrt.f32 (log.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (log.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2))))) (#(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 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 314159265359/50000000000 u2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 314159265359/50000000000 u2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.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 u1 (-.f32 1 u1)) 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 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)) 3/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))))) (#(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 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 (/.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 (log.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2)) 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))))))
((#(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))))))

simplify78.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
685×distribute-rgt-out_binary32
634×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
33681647
46820637
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))))
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(*.f32 314159265359/50000000000 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)))))
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)))
(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 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (*.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 (*.f32 -1/2 (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))))
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(+.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)))))
(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)))))
(fma.f32 314159265359/50000000000 u2 (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 314159265359/50000000000 u2 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))

eval103.0ms (0.7%)

Compiler

Compiled 3176 to 2490 computations (21.6% saved)

prune86.0ms (0.6%)

Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New15526181
Fresh000
Picked011
Done000
Total15527182
Error
0.1b
Counts
182 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
21.5b
(+.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))))))
0.6b
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
13.7b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
1.0b
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
15.1b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.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)))))))
1.2b
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)
2.7b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
8.5b
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.9b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))
▶0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (log1p.f32 (expm1.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)
2.7b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
0.6b
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.6b
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
2.7b
(+.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))))))
20.2b
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 1)
4.8b
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
▶1.2b
(*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.6b
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.8b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)))
1.4b
(*.f32 (sqrt.f32 (pow.f32 (E.f32) (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
▶4.3b
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
1.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))))
0.6b
(*.f32 (sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.6b
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) -2) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
▶4.8b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
Compiler

Compiled 938 to 757 computations (19.3% saved)

localize72.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))
✓0.3b
(expm1.f32 (*.f32 314159265359/50000000000 u2))
0.3b
(*.f32 314159265359/50000000000 u2)
✓0.3b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))))
Compiler

Compiled 52 to 38 computations (26.9% saved)

series5.0ms (0%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
1.0ms
u1
@0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))))
1.0ms
u1
@inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))))
0.0ms
u2
@0
(expm1.f32 (*.f32 314159265359/50000000000 u2))
0.0ms
u1
@-inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))))
0.0ms
u2
@0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))))

rewrite80.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01327
125027
2305027
Stop Event
1×node limit
Counts
3 → 83
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))))
(expm1.f32 (*.f32 314159265359/50000000000 u2))
(log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))
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 /.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 (*.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 (pow.f32 (exp.f32 u2) 314159265359/50000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (expm1.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (expm1.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (cbrt.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2))) 2) (cbrt.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (exp.f32 u2) 942477796077/50000000000) 1) (+.f32 (pow.f32 (exp.f32 u2) 314159265359/25000000000) (+.f32 1 (*.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (exp.f32 u2) 314159265359/25000000000) 1) (+.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (pow.f32 (exp.f32 u2) 314159265359/50000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000)) 2) (cbrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000)) (sqrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 314159265359/50000000000 u2))))) (#(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 (log1p.f32 (pow.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)) 2) (expm1.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)) 2))) (log.f32 (-.f32 1 (expm1.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 314159265359/50000000000 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 314159265359/50000000000 u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 314159265359/50000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 314159265359/50000000000 u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)) (cbrt.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u2 u2)) (*.f32 (cbrt.f32 u2) 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u2) (*.f32 (sqrt.f32 u2) 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 314159265359/50000000000 (cbrt.f32 (*.f32 u2 u2))) (cbrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 314159265359/50000000000 (sqrt.f32 u2)) (sqrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 314159265359/50000000000 u2) 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 314159265359/50000000000 u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 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 cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 314159265359/50000000000 u2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 314159265359/50000000000 u2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2))) 2))))))

simplify80.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
669×distribute-rgt-out_binary32
629×associate-/l/_binary32
519×distribute-rgt-in_binary32
461×fma-def_binary32
372×associate-/r/_binary32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
094821
1278782
2839711
33466617
46276607
Stop Event
1×node limit
Counts
127 → 113
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 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)))
(+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(-.f32 (exp.f32 (*.f32 314159265359/50000000000 u2)) 1)
(-.f32 (exp.f32 (*.f32 314159265359/50000000000 u2)) 1)
(-.f32 (exp.f32 (*.f32 314159265359/50000000000 u2)) 1)
(-.f32 (exp.f32 (*.f32 314159265359/50000000000 u2)) 1)
(-.f32 (exp.f32 (*.f32 314159265359/50000000000 u2)) 1)
(-.f32 (exp.f32 (*.f32 314159265359/50000000000 u2)) 1)
(-.f32 (exp.f32 (*.f32 314159265359/50000000000 u2)) 1)
(-.f32 (exp.f32 (*.f32 314159265359/50000000000 u2)) 1)
(*.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)
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 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (*.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 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (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)) (/.f32 (*.f32 u1 u1) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (/.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 -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 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (*.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 (/.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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (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)) -1) 1) (pow.f32 u1 3)))))))
(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) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1)))) (*.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 (sqrt.f32 -1) u1)) (+.f32 (/.f32 5/8 (*.f32 u1 u1)) (+.f32 (/.f32 3/4 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 (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 (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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (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 -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 -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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)) (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))))
(*.f32 314159265359/50000000000 u2)
(+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)))
(fma.f32 314159265359/50000000000 u2 (*.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)))
(fma.f32 314159265359/50000000000 u2 (*.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000)))
(*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 u2 98696044010906577398881/5000000000000000000000)))
(+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(fma.f32 314159265359/50000000000 u2 (fma.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(fma.f32 314159265359/50000000000 u2 (fma.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000))))
(fma.f32 314159265359/50000000000 u2 (*.f32 (*.f32 u2 u2) (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 u2 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 314159265359/50000000000 u2 (fma.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 314159265359/50000000000 u2 (fma.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 314159265359/50000000000 u2 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (*.f32 (*.f32 u2 u2) (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(fma.f32 314159265359/50000000000 u2 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 u2 (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) 31006276680305942139213528068663279/750000000000000000000000000000000)) 98696044010906577398881/5000000000000000000000)))
(-.f32 (exp.f32 (*.f32 314159265359/50000000000 u2)) 1)
(expm1.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (exp.f32 (*.f32 314159265359/50000000000 u2)) 1)
(expm1.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (exp.f32 (*.f32 314159265359/50000000000 u2)) 1)
(expm1.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (exp.f32 (*.f32 314159265359/50000000000 u2)) 1)
(expm1.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (exp.f32 (*.f32 314159265359/50000000000 u2)) 1)
(expm1.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (exp.f32 (*.f32 314159265359/50000000000 u2)) 1)
(expm1.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (exp.f32 (*.f32 314159265359/50000000000 u2)) 1)
(expm1.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (exp.f32 (*.f32 314159265359/50000000000 u2)) 1)
(expm1.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)

localize64.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series24.0ms (0.2%)

Counts
3 → 24
Calls

15 calls:

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

rewrite82.0ms (0.6%)

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))))))

simplify78.0ms (0.6%)

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))))))

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 32 to 15 computations (53.1% saved)

series8.0ms (0.1%)

Counts
2 → 28
Calls

9 calls:

TimeVariablePointExpression
2.0ms
u2
@inf
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
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
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)))

rewrite72.0ms (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))))))))

simplify76.0ms (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)))

localize70.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f32 u1 (-.f32 1 u1))
0.3b
(*.f32 314159265359/50000000000 u2)
✓0.3b
(*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
✓1.7b
(exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))
Compiler

Compiled 56 to 40 computations (28.6% saved)

series5.0ms (0%)

Counts
2 → 32
Calls

9 calls:

TimeVariablePointExpression
2.0ms
u2
@-inf
(*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
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
u2
@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)))

rewrite75.0ms (0.5%)

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))))))

simplify120.0ms (0.9%)

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))))

localize168.0ms (1.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f32 u1 (-.f32 1 u1))
0.3b
(*.f32 314159265359/50000000000 u2)
0.3b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
✓0.7b
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)
Compiler

Compiled 66 to 48 computations (27.3% saved)

series103.0ms (0.8%)

Counts
1 → 20
Calls

6 calls:

TimeVariablePointExpression
68.0ms
u2
@inf
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)
11.0ms
u1
@-inf
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)
9.0ms
u2
@-inf
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)
5.0ms
u2
@0
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)
5.0ms
u1
@0
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)

rewrite76.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
609×log-prod_binary32
385×pow-prod-down_binary32
327×pow2_binary32
271×prod-diff_binary32
226×pow1/3_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01417
129617
2334117
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)
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 (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 (cbrt.f32 (cbrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))) (*.f32 (cbrt.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 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (*.f32 (cbrt.f32 (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 (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 (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 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 1/6) (*.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 1/6) (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 (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 (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 (*.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 (cbrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1) (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) (cbrt.f32 (cbrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))))) (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 1/6)) (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 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))))))

simplify133.0ms (1%)

Algorithm
1×egg-herbie
Rules
761×associate-+l+_binary32
717×associate-+r+_binary32
420×*-commutative_binary32
385×times-frac_binary32
276×+-commutative_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01651292
15981179
222081046
378361042
Stop Event
1×node limit
Counts
56 → 59
Calls
Call 1
Inputs
(*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))
(+.f32 (*.f32 (+.f32 (*.f32 1/6 (*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (*.f32 1/3 (*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))))) u1) (*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))))
(+.f32 (*.f32 (+.f32 (*.f32 1/6 (*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (*.f32 1/3 (*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))))) u1) (+.f32 (*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (*.f32 (+.f32 (*.f32 1/18 (*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (+.f32 (*.f32 (sqrt.f32 1) (*.f32 (+.f32 (*.f32 7/36 (pow.f32 (*.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1)) 1/3)) (*.f32 1/36 (pow.f32 (*.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1)) 1/3))) (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1/3) (pow.f32 u1 1/6)))) (*.f32 7/72 (*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))))) (pow.f32 u1 2))))
(+.f32 (*.f32 (+.f32 (*.f32 1/6 (*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (*.f32 1/3 (*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))))) u1) (+.f32 (*.f32 (pow.f32 u1 3) (+.f32 (*.f32 7/216 (*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (+.f32 (*.f32 1/6 (*.f32 (sqrt.f32 1) (*.f32 (+.f32 (*.f32 7/36 (pow.f32 (*.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1)) 1/3)) (*.f32 1/36 (pow.f32 (*.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1)) 1/3))) (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1/3) (pow.f32 u1 1/6))))) (+.f32 (*.f32 91/1296 (*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (*.f32 (sqrt.f32 1) (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1/3) (*.f32 (+.f32 (*.f32 91/648 (pow.f32 (*.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1)) 1/3)) (*.f32 7/216 (pow.f32 (*.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1)) 1/3))) (pow.f32 u1 1/6)))))))) (+.f32 (*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (*.f32 (+.f32 (*.f32 1/18 (*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (+.f32 (*.f32 (sqrt.f32 1) (*.f32 (+.f32 (*.f32 7/36 (pow.f32 (*.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1)) 1/3)) (*.f32 1/36 (pow.f32 (*.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1)) 1/3))) (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1/3) (pow.f32 u1 1/6)))) (*.f32 7/72 (*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))))) (pow.f32 u1 2)))))
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))
(+.f32 (*.f32 1/3 (*.f32 (pow.f32 1 1/3) (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1))) (+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)) (*.f32 1/6 (*.f32 (pow.f32 1 1/3) (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(+.f32 (*.f32 1/3 (*.f32 (pow.f32 1 1/3) (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1))) (+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)) (+.f32 (*.f32 (pow.f32 -1 1/6) (*.f32 (pow.f32 (*.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1/3) (/.f32 (+.f32 (*.f32 1/36 (pow.f32 (*.f32 -1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) 1/3)) (*.f32 7/36 (pow.f32 (*.f32 -1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) 1/3))) (pow.f32 u1 2)))) (+.f32 (*.f32 7/72 (*.f32 (pow.f32 1 1/3) (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))) (+.f32 (*.f32 1/18 (*.f32 (pow.f32 1 1/3) (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))) (*.f32 1/6 (*.f32 (pow.f32 1 1/3) (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1))))))))
(+.f32 (*.f32 1/3 (*.f32 (pow.f32 1 1/3) (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1))) (+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)) (+.f32 (*.f32 7/72 (*.f32 (pow.f32 1 1/3) (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))) (+.f32 (*.f32 (pow.f32 -1 1/6) (*.f32 (pow.f32 (*.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1/3) (/.f32 (+.f32 (*.f32 91/648 (pow.f32 (*.f32 -1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) 1/3)) (*.f32 7/216 (pow.f32 (*.f32 -1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) 1/3))) (pow.f32 u1 3)))) (+.f32 (*.f32 1/6 (*.f32 (pow.f32 1 1/3) (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1))) (+.f32 (*.f32 1/6 (*.f32 (pow.f32 -1 1/6) (*.f32 (pow.f32 (*.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1/3) (/.f32 (+.f32 (*.f32 1/36 (pow.f32 (*.f32 -1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) 1/3)) (*.f32 7/36 (pow.f32 (*.f32 -1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) 1/3))) (pow.f32 u1 3))))) (+.f32 (*.f32 7/216 (*.f32 (pow.f32 1 1/3) (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3)))) (+.f32 (*.f32 (pow.f32 -1 1/6) (*.f32 (pow.f32 (*.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1/3) (/.f32 (+.f32 (*.f32 1/36 (pow.f32 (*.f32 -1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) 1/3)) (*.f32 7/36 (pow.f32 (*.f32 -1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) 1/3))) (pow.f32 u1 2)))) (+.f32 (*.f32 91/1296 (*.f32 (pow.f32 1 1/3) (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3)))) (*.f32 1/18 (*.f32 (pow.f32 1 1/3) (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))))))))))))
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))
(+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)) (*.f32 -1 (/.f32 (+.f32 (*.f32 -1/6 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))) (*.f32 -1/3 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)))) u1)))
(+.f32 (*.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (*.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1/3) (/.f32 (+.f32 (*.f32 1/36 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1/3)) (*.f32 7/36 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1/3))) (pow.f32 u1 2))) (+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)) (+.f32 (*.f32 7/72 (*.f32 (pow.f32 1 1/3) (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))) (+.f32 (*.f32 -1 (/.f32 (+.f32 (*.f32 -1/6 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))) (*.f32 -1/3 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)))) u1)) (*.f32 1/18 (*.f32 (pow.f32 1 1/3) (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))))))))
(+.f32 (*.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (*.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1/3) (/.f32 (+.f32 (*.f32 1/36 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1/3)) (*.f32 7/36 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1/3))) (pow.f32 u1 2))) (+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)) (+.f32 (*.f32 -1 (/.f32 (+.f32 (*.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (*.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1/3) (+.f32 (*.f32 -91/648 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1/3)) (*.f32 -7/216 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1/3)))) (+.f32 (*.f32 -91/1296 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))) (+.f32 (*.f32 -7/216 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))) (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (*.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1/3) (+.f32 (*.f32 1/36 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1/3)) (*.f32 7/36 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1/3)))))))) (pow.f32 u1 3))) (+.f32 (*.f32 7/72 (*.f32 (pow.f32 1 1/3) (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))) (+.f32 (*.f32 -1 (/.f32 (+.f32 (*.f32 -1/6 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))) (*.f32 -1/3 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)))) u1)) (*.f32 1/18 (*.f32 (pow.f32 1 1/3) (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))))))))
(*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
Outputs
(*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(+.f32 (*.f32 (+.f32 (*.f32 1/6 (*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (*.f32 1/3 (*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))))) u1) (*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))))
(fma.f32 (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1/2) u1 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1) (*.f32 u1 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 u1) 1/2))))
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (+.f32 1 (*.f32 u1 1/2)))
(+.f32 (*.f32 (+.f32 (*.f32 1/6 (*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (*.f32 1/3 (*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))))) u1) (+.f32 (*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (*.f32 (+.f32 (*.f32 1/18 (*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (+.f32 (*.f32 (sqrt.f32 1) (*.f32 (+.f32 (*.f32 7/36 (pow.f32 (*.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1)) 1/3)) (*.f32 1/36 (pow.f32 (*.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) u1)) 1/3))) (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1/3) (pow.f32 u1 1/6)))) (*.f32 7/72 (*.f32 (pow.f32 1 1/6) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))))) (pow.f32 u1 2))))
(+.f32 (fma.f32 (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1/2) u1 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (*.f32 (fma.f32 1/18 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (+.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) 2/9) (*.f32 (pow.f32 u1 1/6) (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))) (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 7/72))) (*.f32 u1 u1)))
(fma.f32 u1 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 u1) 1/2)) (fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1) (*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1/18 (fma.f32 (*.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) 2/9) (*.f32 (pow.f32 u1 1/6) (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 u1) 7/72)))) (*.f32 u1 u1))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (+.f32 1 (*.f32 u1 1/2))) (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) (*.f32 (*.f32 (pow.f32 u1 1/6) (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2/9)) (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 11/72)))))
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(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))
(+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)) (*.f32 -1 (/.f32 (+.f32 (*.f32 -1/6 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))) (*.f32 -1/3 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)))) u1)))
(+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (neg.f32 (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) -1/2) u1)))
(-.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 u1 -1/2)))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) 1/2) u1))
(+.f32 (*.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (*.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1/3) (/.f32 (+.f32 (*.f32 1/36 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1/3)) (*.f32 7/36 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1/3))) (pow.f32 u1 2))) (+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)) (+.f32 (*.f32 7/72 (*.f32 (pow.f32 1 1/3) (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))) (+.f32 (*.f32 -1 (/.f32 (+.f32 (*.f32 -1/6 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))) (*.f32 -1/3 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)))) u1)) (*.f32 1/18 (*.f32 (pow.f32 1 1/3) (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))))))))
(fma.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (/.f32 (*.f32 (cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 (sqrt.f32 -1) 2))) 2/9) (*.f32 u1 u1)) (+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (fma.f32 7/72 (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (fma.f32 -1 (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) -1/2) u1) (*.f32 1/18 (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))))
(fma.f32 (/.f32 (cbrt.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) (/.f32 (*.f32 u1 u1) 2/9)) (cbrt.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (+.f32 (/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) -1/2))) u1) (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (/.f32 (sqrt.f32 -1) u1)) 11/72))))
(fma.f32 (*.f32 (/.f32 (cbrt.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) u1) (/.f32 2/9 u1)) (cbrt.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (+.f32 (fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) 1/2) u1)) (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (*.f32 u1 u1))) 11/72)))
(fma.f32 (*.f32 (/.f32 (cbrt.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) u1) (/.f32 2/9 u1)) (cbrt.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (fma.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (*.f32 u1 u1))) 11/72 (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) 1/2) u1))))
(+.f32 (*.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (*.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1/3) (/.f32 (+.f32 (*.f32 1/36 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1/3)) (*.f32 7/36 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1/3))) (pow.f32 u1 2))) (+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)) (+.f32 (*.f32 -1 (/.f32 (+.f32 (*.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (*.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1/3) (+.f32 (*.f32 -91/648 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1/3)) (*.f32 -7/216 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1/3)))) (+.f32 (*.f32 -91/1296 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))) (+.f32 (*.f32 -7/216 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))) (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (*.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1/3) (+.f32 (*.f32 1/36 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1/3)) (*.f32 7/36 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1/3)))))))) (pow.f32 u1 3))) (+.f32 (*.f32 7/72 (*.f32 (pow.f32 1 1/3) (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))) (+.f32 (*.f32 -1 (/.f32 (+.f32 (*.f32 -1/6 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))) (*.f32 -1/3 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)))) u1)) (*.f32 1/18 (*.f32 (pow.f32 1 1/3) (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))))))))
(fma.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (/.f32 (*.f32 (cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 (sqrt.f32 -1) 2))) 2/9) (*.f32 u1 u1)) (+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (fma.f32 -1 (/.f32 (fma.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (*.f32 (cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 (sqrt.f32 -1) 2))) -14/81) (fma.f32 -91/1296 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (fma.f32 -7/216 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (*.f32 -1/6 (*.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (*.f32 (cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 (sqrt.f32 -1) 2))) 2/9)))))) (pow.f32 u1 3)) (fma.f32 7/72 (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (fma.f32 -1 (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) -1/2) u1) (*.f32 1/18 (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))))
(fma.f32 (/.f32 (cbrt.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) (/.f32 (*.f32 u1 u1) 2/9)) (cbrt.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (-.f32 (+.f32 (/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) -1/2))) u1) (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (/.f32 (sqrt.f32 -1) u1)) 11/72)) (/.f32 (fma.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (*.f32 (cbrt.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) -14/81) (+.f32 (*.f32 -1/6 (*.f32 (cbrt.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) (*.f32 2/9 (cbrt.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))))) (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) -133/1296))) (pow.f32 u1 3)))))
(-.f32 (fma.f32 (*.f32 (/.f32 (cbrt.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) u1) (/.f32 2/9 u1)) (cbrt.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (+.f32 (fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) 1/2) u1)) (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (*.f32 u1 u1))) 11/72))) (/.f32 (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) -133/1296) (*.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (+.f32 (*.f32 -1/6 (*.f32 (cbrt.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) 2/9)) (*.f32 (cbrt.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) -14/81)))) (pow.f32 u1 3)))
(-.f32 (fma.f32 (*.f32 (/.f32 (cbrt.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) u1) (/.f32 2/9 u1)) (cbrt.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (fma.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (*.f32 u1 u1))) 11/72 (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) 1/2) u1)))) (/.f32 (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) -133/1296) (*.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (+.f32 (*.f32 -1/6 (*.f32 (cbrt.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) 2/9)) (*.f32 (cbrt.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) -14/81)))) (pow.f32 u1 3)))
(*.f32 (pow.f32 1 1/6) (*.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 (pow.f32 1 1/6) (*.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 (pow.f32 1 1/6) (*.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 (pow.f32 1 1/6) (*.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 (pow.f32 1 1/6) (*.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 (pow.f32 1 1/6) (*.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 (pow.f32 1 1/6) (*.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 (pow.f32 1 1/6) (*.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))))

eval1.4s (10.3%)

Compiler

Compiled 17964 to 13910 computations (22.6% saved)

prune348.0ms (2.5%)

Pruning

48 alts after pruning (43 fresh and 5 done)

PrunedKeptTotal
New87439913
Fresh17421
Picked011
Done145
Total89248940
Error
0.0b
Counts
940 → 48
Alt Table
Click to see full alt table
StatusErrorProgram
5.0b
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))) 2)
4.8b
(*.f32 314159265359/50000000000 (*.f32 u2 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
1.0b
(*.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))))
15.3b
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
21.5b
(+.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))))))
13.7b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
7.2b
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 314159265359/50000000000 u2))
0.6b
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
7.2b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
4.8b
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 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))))
25.2b
(*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
5.2b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)))
15.1b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.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)))))))
0.6b
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
4.8b
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
1.0b
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
0.9b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))
4.2b
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (+.f32 1 (*.f32 u1 1/2)))
▶0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
✓0.9b
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)
▶2.7b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
20.2b
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 1)
▶3.3b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (log1p.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 u2 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 31006276680305942139213528068663279/750000000000000000000000000000000))))))))
4.8b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
8.5b
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.6b
(*.f32 (sqrt.f32 (*.f32 (/.f32 (cbrt.f32 (*.f32 u1 u1)) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
4.8b
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
5.9b
(*.f32 314159265359/50000000000 (exp.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
0.6b
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.7b
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (sin.f32 (*.f32 314159265359/50000000000 u2))))
1.5b
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (pow.f32 (E.f32) (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)
4.8b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1)))))
4.8b
(sqrt.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) (/.f32 u1 (-.f32 1 u1))))
▶7.2b
(*.f32 (*.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
4.9b
(/.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
5.5b
(*.f32 314159265359/50000000000 (*.f32 u2 (exp.f32 (*.f32 (*.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))))
25.6b
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
16.5b
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (+.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)))))))
4.9b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 2)))
5.9b
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))))
5.0b
(pow.f32 (cbrt.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)
✓1.2b
(*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
▶10.3b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
✓4.3b
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
4.8b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
✓4.8b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
Compiler

Compiled 1537 to 1225 computations (20.3% saved)

localize112.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiled 56 to 33 computations (41.1% saved)

series5.0ms (0%)

Counts
3 → 44
Calls

12 calls:

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

rewrite91.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
628×log-prod_binary32
402×pow-prod-down_binary32
346×prod-diff_binary32
326×pow2_binary32
228×pow-unpow_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01338
127128
2333328
Stop Event
1×node limit
Counts
3 → 71
Calls
Call 1
Inputs
(*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 98696044010906577398881/2500000000000000000000)) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 98696044010906577398881/2500000000000000000000))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)) 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 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000) 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 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 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 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 98696044010906577398881/2500000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))))) (#(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 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 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 (*.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 *.f32 u2 314159265359/50000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 (pow.f32 98696044010906577398881/2500000000000000000000 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 314159265359/50000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) (cbrt.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) (cbrt.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u2) (sqrt.f32 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 314159265359/50000000000 u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (*.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 314159265359/50000000000) 1)))) (#(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 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 6) 1/6)))) (#(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 (cbrt.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (*.f32 u2 314159265359/50000000000))))) (#(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 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u2 314159265359/50000000000)) 1))))))

simplify83.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
626×associate-/l/_binary32
623×distribute-rgt-out_binary32
544×distribute-lft-in_binary32
472×distribute-rgt-in_binary32
371×associate-/r/_binary32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
084799
1246760
2746692
33117600
45700590
Stop Event
1×node limit
Counts
115 → 101
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 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)
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))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 -1) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) u1))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (+.f32 (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 -1)))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (+.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 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (sin.f32 (*.f32 u2 314159265359/50000000000)))) (fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (*.f32 u1 u1) (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1)))) (fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) u1) (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 u1 u1))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.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 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (sin.f32 (*.f32 u2 314159265359/50000000000)))) (fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 -1/2 (+.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) u1)) (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.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)))))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (*.f32 u1 u1) (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1)))) (fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 -1/2 (+.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) u1)) (*.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) (fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) u1) (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (pow.f32 u1 3) (+.f32 1 (+.f32 -1/2 (*.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)))))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) u1) (*.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 u1 u1)) (+.f32 (/.f32 5/8 u1) 3/4)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (*.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) u1) (+.f32 (/.f32 3/4 u1) (+.f32 (/.f32 5/8 (*.f32 u1 u1)) 1)))))
(*.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 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000))) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) u1) (sqrt.f32 -1))))
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000))) (+.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 u2 314159265359/50000000000)) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (sin.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000))) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000)) (fma.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000))) u1) (*.f32 3/8 (/.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000))) u1) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) u1) (sqrt.f32 -1)) (+.f32 1/2 (/.f32 3/8 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000))) (+.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 u2 314159265359/50000000000)) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (sin.f32 (*.f32 u2 314159265359/50000000000)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (sin.f32 (*.f32 u2 314159265359/50000000000)))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000))) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000)) (fma.f32 5/16 (*.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sin.f32 (*.f32 u2 314159265359/50000000000))) (fma.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000))) u1) (*.f32 3/8 (/.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000))) u1) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000)) (fma.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) u1) (sqrt.f32 -1)) (*.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (+.f32 3/8 (/.f32 5/16 u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) u1) (sqrt.f32 -1)) (+.f32 1/2 (+.f32 (/.f32 5/16 (*.f32 u1 u1)) (/.f32 3/8 u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000)) (*.f32 (*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.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 u2 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(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 u2 314159265359/50000000000) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 u2 314159265359/50000000000)))
(+.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 u2 314159265359/50000000000) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 u2 314159265359/50000000000) (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 u2 314159265359/50000000000) (*.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 u2 314159265359/50000000000 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (fma.f32 u2 314159265359/50000000000 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 u2 314159265359/50000000000)) (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 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 -314159265359/50000000000)))
(*.f32 (sin.f32 (*.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 -314159265359/50000000000)))
(*.f32 (sin.f32 (*.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 -314159265359/50000000000)))
(*.f32 (sin.f32 (*.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 -314159265359/50000000000)))
(*.f32 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)

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 18 to 8 computations (55.6% saved)

series7.0ms (0.1%)

Counts
2 → 0
Calls

12 calls:

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

rewrite60.0ms (0.4%)

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

localize27.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(hypot.f32 u1 (sqrt.f32 u1))
0.3b
(*.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)

series9.0ms (0.1%)

Counts
2 → 16
Calls

9 calls:

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

rewrite65.0ms (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))))))))

simplify83.0ms (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)

localize107.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f32 u1 (-.f32 1 u1))
0.3b
(*.f32 314159265359/50000000000 u2)
✓0.3b
(*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))
✓0.4b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
Compiler

Compiled 59 to 43 computations (27.1% saved)

series14.0ms (0.1%)

Counts
2 → 20
Calls

9 calls:

TimeVariablePointExpression
4.0ms
u1
@inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
2.0ms
u1
@0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
2.0ms
u2
@inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
1.0ms
u1
@-inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
1.0ms
u2
@0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))

rewrite135.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
757×log-prod_binary32
434×fma-def_binary32
273×expm1-udef_binary32
272×log1p-udef_binary32
250×pow3_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01529
133529
2437929
Stop Event
1×node limit
Counts
2 → 89
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))
Outputs
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simplify81.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
719×distribute-rgt-in_binary32
707×distribute-lft-in_binary32
627×associate-/l/_binary32
375×associate-/r/_binary32
309×fma-def_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
062812
1195708
2788657
34005539
Stop Event
1×node limit
Counts
109 → 109
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(+.f32 (*.f32 -1/2 (/.f32 (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(+.f32 (*.f32 -1/2 (/.f32 (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (+.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 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))))
(*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) u1)) (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (pow.f32 u1 2))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) u1)) (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))
(+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (pow.f32 u1 2))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) u1)) (+.f32 (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (pow.f32 u1 3))))))
(*.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 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
Outputs
(*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 (sqrt.f32 -1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 -1/2 (/.f32 (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(fma.f32 -1/2 (/.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 (sqrt.f32 -1) u1)) (*.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(fma.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 -1/2 (/.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (/.f32 (+.f32 (*.f32 u2 -314159265359/100000000000) (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/1500000000000000000000000000000000)) (*.f32 (sqrt.f32 -1) u1)))
(*.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 -1/2 (/.f32 (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))
(fma.f32 -1/2 (/.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.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 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 u1 u1))) (*.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))
(fma.f32 -1/2 (/.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 -1/2 (*.f32 (/.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1))))))
(fma.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) u1) (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 u1 u1))))))
(fma.f32 (sqrt.f32 -1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)) (*.f32 (/.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)) (+.f32 -1/2 (/.f32 -3/8 u1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (+.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 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (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 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.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 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 u1 u1))) (*.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (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 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 -1/2 (*.f32 (/.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1)))))))
(fma.f32 (/.f32 (+.f32 (*.f32 u2 -314159265359/100000000000) (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/1500000000000000000000000000000000)) (sqrt.f32 -1)) (/.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) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) u1) (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 u1 u1)))))))
(+.f32 (*.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)) (+.f32 (/.f32 -3/8 (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (sqrt.f32 -1))) (*.f32 (/.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (/.f32 -1/2 u1) (/.f32 -5/16 (pow.f32 u1 3)))))
(*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 (sqrt.f32 -1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) u1)) (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))) (*.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(fma.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))
(fma.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 1/2 (*.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (/.f32 (sqrt.f32 -1) u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))) (+.f32 (/.f32 1/2 u1) 1))
(+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (pow.f32 u1 2))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) u1)) (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))) (*.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))
(fma.f32 3/8 (*.f32 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (fma.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))))
(fma.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 (*.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (/.f32 (sqrt.f32 -1) u1)) (+.f32 1/2 (/.f32 3/8 u1))))
(fma.f32 (sqrt.f32 -1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)) (*.f32 (/.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)) (/.f32 u1 (sqrt.f32 -1))) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (pow.f32 u1 2))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) u1)) (+.f32 (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (pow.f32 u1 3))))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))) (fma.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))))))
(fma.f32 3/8 (*.f32 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (fma.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (fma.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 5/16 (*.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))))
(+.f32 (fma.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 1/2 (*.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (/.f32 (sqrt.f32 -1) u1)))) (*.f32 (*.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (/.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (+.f32 (/.f32 5/16 u1) 3/8)))
(+.f32 (*.f32 (sqrt.f32 -1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))) (*.f32 (/.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)) (/.f32 u1 (sqrt.f32 -1))) (+.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))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.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))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.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))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 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 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (pow.f32 u2 3) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -31006276680305942139213528068663279/750000000000000000000000000000000))
(+.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))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.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))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.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))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 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 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (pow.f32 u2 3) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -31006276680305942139213528068663279/750000000000000000000000000000000))
(+.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))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.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))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.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))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

localize228.0ms (1.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(+.f32 314159265359/50000000000 (*.f32 u2 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 31006276680305942139213528068663279/750000000000000000000000000000000))))
✓0.3b
(*.f32 u2 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 31006276680305942139213528068663279/750000000000000000000000000000000)))
✓0.3b
(+.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 31006276680305942139213528068663279/750000000000000000000000000000000))
✓0.4b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (log1p.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 u2 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 31006276680305942139213528068663279/750000000000000000000000000000000))))))))
Compiler

Compiled 103 to 76 computations (26.2% saved)

series50.0ms (0.4%)

Counts
4 → 56
Calls

15 calls:

TimeVariablePointExpression
26.0ms
u2
@inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (log1p.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 u2 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 31006276680305942139213528068663279/750000000000000000000000000000000))))))))
5.0ms
u2
@0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (log1p.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 u2 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 31006276680305942139213528068663279/750000000000000000000000000000000))))))))
5.0ms
u2
@-inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (log1p.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 u2 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 31006276680305942139213528068663279/750000000000000000000000000000000))))))))
3.0ms
u1
@0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (log1p.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 u2 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 31006276680305942139213528068663279/750000000000000000000000000000000))))))))
2.0ms
u1
@inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (log1p.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 u2 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 31006276680305942139213528068663279/750000000000000000000000000000000))))))))

rewrite165.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
920×prod-diff_binary32
345×expm1-udef_binary32
344×log1p-udef_binary32
201×add-sqr-sqrt_binary32
193×pow1_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01861
140049
2540949
Stop Event
1×node limit
Counts
4 → 109
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (log1p.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 u2 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 31006276680305942139213528068663279/750000000000000000000000000000000))))))))
(+.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 31006276680305942139213528068663279/750000000000000000000000000000000))
(*.f32 u2 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 31006276680305942139213528068663279/750000000000000000000000000000000)))
(+.f32 314159265359/50000000000 (*.f32 u2 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 31006276680305942139213528068663279/750000000000000000000000000000000))))
Outputs
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simplify125.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
635×fma-def_binary32
417×associate-/r/_binary32
363×times-frac_binary32
326×distribute-lft-out_binary32
303×distribute-rgt-out_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01541783
14181540
211861381
345361282
472531282
Stop Event
1×node limit
Counts
165 → 160
Calls
Call 1
Inputs
(*.f32 (sin.f32 (log.f32 (+.f32 1 (*.f32 (+.f32 314159265359/50000000000 (*.f32 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2)) u2)) u2)))) (sqrt.f32 -1))
(+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (log.f32 (+.f32 1 (*.f32 (+.f32 314159265359/50000000000 (*.f32 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2)) u2)) u2)))) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sin.f32 (log.f32 (+.f32 1 (*.f32 (+.f32 314159265359/50000000000 (*.f32 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2)) u2)) u2)))) (sqrt.f32 -1)))
(+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (log.f32 (+.f32 1 (*.f32 (+.f32 314159265359/50000000000 (*.f32 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2)) u2)) u2)))) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 (sin.f32 (log.f32 (+.f32 1 (*.f32 (+.f32 314159265359/50000000000 (*.f32 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2)) u2)) u2)))) (sqrt.f32 -1)) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (log.f32 (+.f32 1 (*.f32 (+.f32 314159265359/50000000000 (*.f32 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2)) u2)) 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 (sin.f32 (log.f32 (+.f32 1 (*.f32 (+.f32 314159265359/50000000000 (*.f32 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2)) u2)) u2)))) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (log.f32 (+.f32 1 (*.f32 (+.f32 314159265359/50000000000 (*.f32 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2)) u2)) 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 (sin.f32 (log.f32 (+.f32 1 (*.f32 (+.f32 314159265359/50000000000 (*.f32 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2)) u2)) u2)))) (sqrt.f32 -1)) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (log.f32 (+.f32 1 (*.f32 (+.f32 314159265359/50000000000 (*.f32 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2)) u2)) u2)))) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(*.f32 (sin.f32 (log.f32 (+.f32 1 (*.f32 (+.f32 314159265359/50000000000 (*.f32 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2)) u2)) u2)))) (sqrt.f32 -1))
(+.f32 (*.f32 (sin.f32 (log.f32 (+.f32 1 (*.f32 (+.f32 314159265359/50000000000 (*.f32 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2)) u2)) u2)))) (sqrt.f32 -1)) (*.f32 1/2 (/.f32 (*.f32 (sin.f32 (log.f32 (+.f32 1 (*.f32 (+.f32 314159265359/50000000000 (*.f32 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2)) u2)) u2)))) (sqrt.f32 -1)) u1)))
(+.f32 (*.f32 3/8 (/.f32 (*.f32 (sin.f32 (log.f32 (+.f32 1 (*.f32 (+.f32 314159265359/50000000000 (*.f32 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2)) u2)) u2)))) (sqrt.f32 -1)) (pow.f32 u1 2))) (+.f32 (*.f32 (sin.f32 (log.f32 (+.f32 1 (*.f32 (+.f32 314159265359/50000000000 (*.f32 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2)) u2)) u2)))) (sqrt.f32 -1)) (*.f32 1/2 (/.f32 (*.f32 (sin.f32 (log.f32 (+.f32 1 (*.f32 (+.f32 314159265359/50000000000 (*.f32 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2)) u2)) u2)))) (sqrt.f32 -1)) u1))))
(+.f32 (*.f32 3/8 (/.f32 (*.f32 (sin.f32 (log.f32 (+.f32 1 (*.f32 (+.f32 314159265359/50000000000 (*.f32 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2)) u2)) u2)))) (sqrt.f32 -1)) (pow.f32 u1 2))) (+.f32 (*.f32 (sin.f32 (log.f32 (+.f32 1 (*.f32 (+.f32 314159265359/50000000000 (*.f32 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2)) u2)) u2)))) (sqrt.f32 -1)) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (sin.f32 (log.f32 (+.f32 1 (*.f32 (+.f32 314159265359/50000000000 (*.f32 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2)) u2)) u2)))) (sqrt.f32 -1)) u1)) (*.f32 5/16 (/.f32 (*.f32 (sin.f32 (log.f32 (+.f32 1 (*.f32 (+.f32 314159265359/50000000000 (*.f32 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2)) u2)) u2)))) (sqrt.f32 -1)) (pow.f32 u1 3))))))
(*.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 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/7500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u2))) (log.f32 31006276680305942139213528068663279/750000000000000000000000000000000))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u2))) (log.f32 31006276680305942139213528068663279/750000000000000000000000000000000)))) (*.f32 150000000000/314159265359 (*.f32 (/.f32 (cos.f32 (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u2))) (log.f32 31006276680305942139213528068663279/750000000000000000000000000000000))) u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u2))) (log.f32 31006276680305942139213528068663279/750000000000000000000000000000000)))) (+.f32 (*.f32 150000000000/314159265359 (*.f32 (/.f32 (cos.f32 (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u2))) (log.f32 31006276680305942139213528068663279/750000000000000000000000000000000))) u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (/.f32 (+.f32 (*.f32 3750000000000000000000/98696044010906577398881 (cos.f32 (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u2))) (log.f32 31006276680305942139213528068663279/750000000000000000000000000000000)))) (*.f32 -11250000000000000000000/98696044010906577398881 (sin.f32 (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u2))) (log.f32 31006276680305942139213528068663279/750000000000000000000000000000000))))) (pow.f32 u2 2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u2))) (log.f32 31006276680305942139213528068663279/750000000000000000000000000000000)))) (+.f32 (*.f32 150000000000/314159265359 (*.f32 (/.f32 (cos.f32 (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u2))) (log.f32 31006276680305942139213528068663279/750000000000000000000000000000000))) u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 (/.f32 (+.f32 (*.f32 3750000000000000000000/98696044010906577398881 (cos.f32 (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u2))) (log.f32 31006276680305942139213528068663279/750000000000000000000000000000000)))) (*.f32 -11250000000000000000000/98696044010906577398881 (sin.f32 (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u2))) (log.f32 31006276680305942139213528068663279/750000000000000000000000000000000))))) (pow.f32 u2 2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (/.f32 (+.f32 (*.f32 -562500000000000000000000000000000/31006276680305942139213528068663279 (sin.f32 (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u2))) (log.f32 31006276680305942139213528068663279/750000000000000000000000000000000)))) (*.f32 -937500000000000000000000000000000/31006276680305942139213528068663279 (cos.f32 (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u2))) (log.f32 31006276680305942139213528068663279/750000000000000000000000000000000))))) (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (sin.f32 (+.f32 (*.f32 -3 (log.f32 (/.f32 -1 u2))) (log.f32 -31006276680305942139213528068663279/750000000000000000000000000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (*.f32 150000000000/314159265359 (*.f32 (/.f32 (cos.f32 (+.f32 (*.f32 -3 (log.f32 (/.f32 -1 u2))) (log.f32 -31006276680305942139213528068663279/750000000000000000000000000000000))) u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (sin.f32 (+.f32 (*.f32 -3 (log.f32 (/.f32 -1 u2))) (log.f32 -31006276680305942139213528068663279/750000000000000000000000000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 150000000000/314159265359 (*.f32 (/.f32 (cos.f32 (+.f32 (*.f32 -3 (log.f32 (/.f32 -1 u2))) (log.f32 -31006276680305942139213528068663279/750000000000000000000000000000000))) u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 (sin.f32 (+.f32 (*.f32 -3 (log.f32 (/.f32 -1 u2))) (log.f32 -31006276680305942139213528068663279/750000000000000000000000000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (/.f32 (+.f32 (*.f32 -11250000000000000000000/98696044010906577398881 (sin.f32 (+.f32 (*.f32 -3 (log.f32 (/.f32 -1 u2))) (log.f32 -31006276680305942139213528068663279/750000000000000000000000000000000)))) (*.f32 3750000000000000000000/98696044010906577398881 (cos.f32 (+.f32 (*.f32 -3 (log.f32 (/.f32 -1 u2))) (log.f32 -31006276680305942139213528068663279/750000000000000000000000000000000))))) (pow.f32 u2 2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 150000000000/314159265359 (*.f32 (/.f32 (cos.f32 (+.f32 (*.f32 -3 (log.f32 (/.f32 -1 u2))) (log.f32 -31006276680305942139213528068663279/750000000000000000000000000000000))) u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 (sin.f32 (+.f32 (*.f32 -3 (log.f32 (/.f32 -1 u2))) (log.f32 -31006276680305942139213528068663279/750000000000000000000000000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (*.f32 (/.f32 (+.f32 (*.f32 -11250000000000000000000/98696044010906577398881 (sin.f32 (+.f32 (*.f32 -3 (log.f32 (/.f32 -1 u2))) (log.f32 -31006276680305942139213528068663279/750000000000000000000000000000000)))) (*.f32 3750000000000000000000/98696044010906577398881 (cos.f32 (+.f32 (*.f32 -3 (log.f32 (/.f32 -1 u2))) (log.f32 -31006276680305942139213528068663279/750000000000000000000000000000000))))) (pow.f32 u2 2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 -1 (*.f32 (/.f32 (+.f32 (*.f32 562500000000000000000000000000000/31006276680305942139213528068663279 (sin.f32 (+.f32 (*.f32 -3 (log.f32 (/.f32 -1 u2))) (log.f32 -31006276680305942139213528068663279/750000000000000000000000000000000)))) (*.f32 937500000000000000000000000000000/31006276680305942139213528068663279 (cos.f32 (+.f32 (*.f32 -3 (log.f32 (/.f32 -1 u2))) (log.f32 -31006276680305942139213528068663279/750000000000000000000000000000000))))) (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
98696044010906577398881/5000000000000000000000
(+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2))
(+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2))
(+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2))
(*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2)
(+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2))
(+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2))
(+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2))
(*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2)
(+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2))
(+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2))
(+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2))
(*.f32 98696044010906577398881/5000000000000000000000 u2)
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2)))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2)))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2)))
(*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2)))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2)))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2)))
(*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2)))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2)))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2)))
314159265359/50000000000
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) 314159265359/50000000000)
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (+.f32 314159265359/50000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2))))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (+.f32 314159265359/50000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2))))
(*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2)))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (+.f32 314159265359/50000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2))))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (+.f32 314159265359/50000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2))))
(*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2)))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (+.f32 314159265359/50000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2))))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (+.f32 314159265359/50000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2))))
Outputs
(*.f32 (sin.f32 (log.f32 (+.f32 1 (*.f32 (+.f32 314159265359/50000000000 (*.f32 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2)) u2)) u2)))) (sqrt.f32 -1))
(*.f32 (sin.f32 (log1p.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 u2 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2))))))) (sqrt.f32 -1))
(*.f32 (sin.f32 (log1p.f32 (*.f32 u2 (fma.f32 u2 (fma.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2 98696044010906577398881/5000000000000000000000) 314159265359/50000000000)))) (sqrt.f32 -1))
(+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (log.f32 (+.f32 1 (*.f32 (+.f32 314159265359/50000000000 (*.f32 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2)) u2)) u2)))) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sin.f32 (log.f32 (+.f32 1 (*.f32 (+.f32 314159265359/50000000000 (*.f32 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2)) u2)) u2)))) (sqrt.f32 -1)))
(fma.f32 -1/2 (/.f32 (sin.f32 (log1p.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 u2 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2))))))) (*.f32 (sqrt.f32 -1) u1)) (*.f32 (sin.f32 (log1p.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 u2 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2))))))) (sqrt.f32 -1)))
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(+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2))
(fma.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2 98696044010906577398881/5000000000000000000000)
(+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2))
(fma.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2 98696044010906577398881/5000000000000000000000)
(+.f32 98696044010906577398881/5000000000000000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2))
(fma.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2 98696044010906577398881/5000000000000000000000)
(*.f32 98696044010906577398881/5000000000000000000000 u2)
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2)))
(fma.f32 98696044010906577398881/5000000000000000000000 u2 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2)))
(*.f32 u2 (fma.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2 98696044010906577398881/5000000000000000000000))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2)))
(fma.f32 98696044010906577398881/5000000000000000000000 u2 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2)))
(*.f32 u2 (fma.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2 98696044010906577398881/5000000000000000000000))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2)))
(fma.f32 98696044010906577398881/5000000000000000000000 u2 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2)))
(*.f32 u2 (fma.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2 98696044010906577398881/5000000000000000000000))
(*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2))
(*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2))
(*.f32 u2 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2)))
(fma.f32 98696044010906577398881/5000000000000000000000 u2 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2)))
(*.f32 u2 (fma.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2 98696044010906577398881/5000000000000000000000))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2)))
(fma.f32 98696044010906577398881/5000000000000000000000 u2 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2)))
(*.f32 u2 (fma.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2 98696044010906577398881/5000000000000000000000))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2)))
(fma.f32 98696044010906577398881/5000000000000000000000 u2 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2)))
(*.f32 u2 (fma.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2 98696044010906577398881/5000000000000000000000))
(*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2))
(*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2))
(*.f32 u2 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2)))
(fma.f32 98696044010906577398881/5000000000000000000000 u2 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2)))
(*.f32 u2 (fma.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2 98696044010906577398881/5000000000000000000000))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2)))
(fma.f32 98696044010906577398881/5000000000000000000000 u2 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2)))
(*.f32 u2 (fma.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2 98696044010906577398881/5000000000000000000000))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2)))
(fma.f32 98696044010906577398881/5000000000000000000000 u2 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2)))
(*.f32 u2 (fma.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2 98696044010906577398881/5000000000000000000000))
314159265359/50000000000
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) 314159265359/50000000000)
(fma.f32 98696044010906577398881/5000000000000000000000 u2 314159265359/50000000000)
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (+.f32 314159265359/50000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2))))
(+.f32 (fma.f32 98696044010906577398881/5000000000000000000000 u2 314159265359/50000000000) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2)))
(fma.f32 u2 (fma.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2 98696044010906577398881/5000000000000000000000) 314159265359/50000000000)
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (+.f32 314159265359/50000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2))))
(+.f32 (fma.f32 98696044010906577398881/5000000000000000000000 u2 314159265359/50000000000) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2)))
(fma.f32 u2 (fma.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2 98696044010906577398881/5000000000000000000000) 314159265359/50000000000)
(*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2))
(*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2))
(*.f32 u2 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2)))
(fma.f32 98696044010906577398881/5000000000000000000000 u2 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2)))
(*.f32 u2 (fma.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2 98696044010906577398881/5000000000000000000000))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (+.f32 314159265359/50000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2))))
(+.f32 (fma.f32 98696044010906577398881/5000000000000000000000 u2 314159265359/50000000000) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2)))
(fma.f32 u2 (fma.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2 98696044010906577398881/5000000000000000000000) 314159265359/50000000000)
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (+.f32 314159265359/50000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2))))
(+.f32 (fma.f32 98696044010906577398881/5000000000000000000000 u2 314159265359/50000000000) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2)))
(fma.f32 u2 (fma.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2 98696044010906577398881/5000000000000000000000) 314159265359/50000000000)
(*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2))
(*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2))
(*.f32 u2 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2)))
(fma.f32 98696044010906577398881/5000000000000000000000 u2 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2)))
(*.f32 u2 (fma.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2 98696044010906577398881/5000000000000000000000))
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (+.f32 314159265359/50000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2))))
(+.f32 (fma.f32 98696044010906577398881/5000000000000000000000 u2 314159265359/50000000000) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2)))
(fma.f32 u2 (fma.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2 98696044010906577398881/5000000000000000000000) 314159265359/50000000000)
(+.f32 (*.f32 98696044010906577398881/5000000000000000000000 u2) (+.f32 314159265359/50000000000 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 2))))
(+.f32 (fma.f32 98696044010906577398881/5000000000000000000000 u2 314159265359/50000000000) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2)))
(fma.f32 u2 (fma.f32 31006276680305942139213528068663279/750000000000000000000000000000000 u2 98696044010906577398881/5000000000000000000000) 314159265359/50000000000)

eval388.0ms (2.8%)

Compiler

Compiled 13807 to 10370 computations (24.9% saved)

prune251.0ms (1.8%)

Pruning

57 alts after pruning (48 fresh and 9 done)

PrunedKeptTotal
New60221623
Fresh112738
Picked101
Done099
Total61457671
Error
0.0b
Counts
671 → 57
Alt Table
Click to see full alt table
StatusErrorProgram
7.2b
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
7.2b
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
1.0b
(*.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))))
15.3b
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
21.5b
(+.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))))))
13.7b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.7b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
0.6b
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
3.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 (pow.f32 u2 3) (+.f32 (*.f32 u2 -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000))))
10.3b
(sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
4.8b
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 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))))
25.2b
(*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
▶5.2b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)))
7.1b
(sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (fma.f32 u1 u1 u1)))
15.1b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.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)))))))
9.5b
(*.f32 (sqrt.f32 u1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
1.4b
(*.f32 (sqrt.f32 (exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))) (sin.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
0.9b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))
4.2b
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (+.f32 1 (*.f32 u1 1/2)))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
✓0.9b
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)
✓2.7b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
10.3b
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
23.5b
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
4.8b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
8.5b
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
8.5b
(*.f32 (sqrt.f32 u1) (sin.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
4.8b
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
5.9b
(*.f32 314159265359/50000000000 (exp.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
▶0.6b
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.7b
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (sin.f32 (*.f32 314159265359/50000000000 u2))))
4.8b
(sqrt.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) (/.f32 u1 (-.f32 1 u1))))
4.8b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1)))))
1.0b
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)))
20.2b
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))) 1)
✓7.2b
(*.f32 (*.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
25.7b
(*.f32 (*.f32 314159265359/50000000000 u2) u1)
4.8b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
4.9b
(/.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
5.5b
(*.f32 314159265359/50000000000 (*.f32 u2 (exp.f32 (*.f32 (*.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))))
30.5b
(*.f32 (*.f32 u1 u2) -314159265359/50000000000)
24.9b
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
25.6b
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
10.7b
(exp.f32 (log.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))))
1.5b
(*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (sin.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
4.9b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 2)))
16.5b
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (+.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)))))))
✓1.2b
(*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
✓10.3b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
4.8b
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
✓4.8b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
▶25.7b
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
0.6b
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
✓4.3b
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
▶4.8b
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
Compiler

Compiled 1653 to 1314 computations (20.5% saved)

localize108.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiled 50 to 40 computations (20% saved)

series12.0ms (0.1%)

Counts
2 → 32
Calls

9 calls:

TimeVariablePointExpression
3.0ms
u2
@-inf
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
2.0ms
u2
@0
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
2.0ms
u2
@inf
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
2.0ms
u1
@-inf
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
1.0ms
u1
@0
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))

rewrite98.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
542×log-prod_binary32
320×pow-prod-down_binary32
299×pow2_binary32
221×prod-diff_binary32
210×pow-to-exp_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01230
125327
2309727
Stop Event
1×node limit
Counts
2 → 64
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 1 (-.f32 (/.f32 1 u1) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (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)) (/.f32 1 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) (sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 1 (+.f32 (neg.f32 (/.f32 1 u1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (+.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 1 (+.f32 (pow.f32 u1 -2) -1)) (+.f32 1 (/.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) -2) (/.f32 1 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6) 5) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6))))) (#(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 1 (+.f32 (/.f32 1 u1) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 2)))) (#(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 (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 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2) 2/3)))) (#(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 (/.f32 1 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6) 6)))) (#(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 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (neg.f32 (+.f32 (neg.f32 (/.f32 1 u1)) 1)) -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 1 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 1 (+.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 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (neg.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 (neg.f32 (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) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 -2 (log.f32 (+.f32 (/.f32 1 u1) -1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (neg.f32 (log.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))) 3))))))

simplify98.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
593×associate-/l/_binary32
501×fma-def_binary32
388×times-frac_binary32
323×fma-neg_binary32
278×div-sub_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0101924
1316850
21038759
34321629
47677629
Stop Event
1×node limit
Counts
96 → 97
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 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))))
(+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))))
(+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
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 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (*.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 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (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)))))
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u1
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(+.f32 (+.f32 -1 (/.f32 -1 u1)) (/.f32 (/.f32 -1 u1) u1))
(+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 (/.f32 -1 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 (+.f32 (+.f32 -1 (/.f32 -1 u1)) (/.f32 (/.f32 -1 u1) u1)) (/.f32 1 (pow.f32 u1 3)))
(+.f32 -1 (-.f32 (+.f32 (/.f32 -1 u1) (/.f32 (/.f32 -1 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))
(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 (/.f32 -1 u1) u1))
(+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 (/.f32 -1 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 (+.f32 (+.f32 -1 (/.f32 -1 u1)) (/.f32 (/.f32 -1 u1) u1)) (/.f32 1 (pow.f32 u1 3)))
(+.f32 -1 (-.f32 (+.f32 (/.f32 -1 u1) (/.f32 (/.f32 -1 u1) u1)) (/.f32 1 (pow.f32 u1 3))))

localize30.0ms (0.2%)

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)

series7.0ms (0%)

Counts
1 → 0
Calls

6 calls:

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

rewrite79.0ms (0.6%)

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))))))))

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize112.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiled 49 to 27 computations (44.9% saved)

series13.0ms (0.1%)

Counts
3 → 64
Calls

18 calls:

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

rewrite110.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
567×log-prod_binary32
378×pow-prod-down_binary32
288×pow2_binary32
223×pow-unpow_binary32
201×pow1/3_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01146
123340
2299540
Stop Event
1×node limit
Counts
3 → 95
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) (*.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 314159265359/50000000000) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) (*.f32 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))) (*.f32 u2 314159265359/50000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (*.f32 u2 u2))) 98696044010906577398881/2500000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.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))) (*.f32 u2 314159265359/50000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (*.f32 u2 u2))) 98696044010906577398881/2500000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 314159265359/50000000000) (*.f32 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))) (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000)) 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 u2 314159265359/50000000000)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 314159265359/50000000000))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 u1 (/.f32 (-.f32 1 u1) (*.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) (/.f32 u1 (-.f32 1 u1)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.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 u2) u2) (/.f32 u1 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (*.f32 u2 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 u1 (/.f32 (-.f32 1 u1) (*.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 1 u1) (*.f32 u1 (*.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u2 u2) (-.f32 (/.f32 1 u1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u1 (*.f32 u2 u2)) (-.f32 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 u1 (*.f32 u2 u2))) (neg.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 u1 (*.f32 u2 u2)) 1) (-.f32 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 u1 (*.f32 u2 u2)) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 u1 (*.f32 u2 u2)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 u1) (*.f32 u2 u2)) (neg.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u2 u2) (neg.f32 u1)) (neg.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (*.f32 u2 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (*.f32 u2 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 1 u1) (*.f32 u1 (*.f32 u2 u2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (*.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (*.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (*.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (*.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (*.f32 u2 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (*.f32 u2 u2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (*.f32 u2 u2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (*.f32 u2 u2)))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) 2))))))
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simplify117.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
704×fma-def_binary32
659×distribute-rgt-out_binary32
515×fma-neg_binary32
514×times-frac_binary32
340×associate-/l*_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01031298
13311264
211771155
356681130
Stop Event
1×node limit
Counts
159 → 145
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 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 -314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 -314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 -314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 -314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (pow.f32 u2 2) u1)
(+.f32 (*.f32 (pow.f32 u2 2) u1) (*.f32 (pow.f32 u2 2) (pow.f32 u1 2)))
(+.f32 (*.f32 (pow.f32 u2 2) u1) (+.f32 (*.f32 (pow.f32 u2 2) (pow.f32 u1 2)) (*.f32 (pow.f32 u2 2) (pow.f32 u1 3))))
(+.f32 (*.f32 (pow.f32 u2 2) u1) (+.f32 (*.f32 (pow.f32 u2 2) (pow.f32 u1 2)) (+.f32 (*.f32 (pow.f32 u2 2) (pow.f32 u1 3)) (*.f32 (pow.f32 u2 2) (pow.f32 u1 4)))))
(*.f32 -1 (pow.f32 u2 2))
(+.f32 (*.f32 -1 (/.f32 (pow.f32 u2 2) u1)) (*.f32 -1 (pow.f32 u2 2)))
(+.f32 (*.f32 -1 (/.f32 (pow.f32 u2 2) u1)) (+.f32 (*.f32 -1 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2))) (*.f32 -1 (pow.f32 u2 2))))
(+.f32 (*.f32 -1 (/.f32 (pow.f32 u2 2) u1)) (+.f32 (*.f32 -1 (/.f32 (pow.f32 u2 2) (pow.f32 u1 3))) (+.f32 (*.f32 -1 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2))) (*.f32 -1 (pow.f32 u2 2)))))
(*.f32 -1 (pow.f32 u2 2))
(+.f32 (*.f32 -1 (/.f32 (pow.f32 u2 2) u1)) (*.f32 -1 (pow.f32 u2 2)))
(+.f32 (*.f32 -1 (/.f32 (pow.f32 u2 2) u1)) (+.f32 (*.f32 -1 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2))) (*.f32 -1 (pow.f32 u2 2))))
(+.f32 (*.f32 -1 (/.f32 (pow.f32 u2 2) u1)) (+.f32 (*.f32 -1 (/.f32 (pow.f32 u2 2) (pow.f32 u1 3))) (+.f32 (*.f32 -1 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2))) (*.f32 -1 (pow.f32 u2 2)))))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(*.f32 (sqrt.f32 -1) u2)
(+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2)))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 u2 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 (sqrt.f32 -1) u2))))
(*.f32 (sqrt.f32 -1) u2)
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)) (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) u2)))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) u2))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 -1 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 -1 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 -1 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 -1 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
Outputs
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))))
(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 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2) (*.f32 -314159265359/100000000000 (+.f32 (/.f32 (/.f32 u2 u1) (sqrt.f32 -1)) (/.f32 u2 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))))))
(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 (sqrt.f32 -1)) (*.f32 (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1) 1) (/.f32 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 (/.f32 u2 (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1)) (fma.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2) (*.f32 -314159265359/100000000000 (+.f32 (/.f32 (/.f32 u2 u1) (sqrt.f32 -1)) (/.f32 u2 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))))))))
(fma.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2) (fma.f32 -314159265359/100000000000 (/.f32 (+.f32 u2 (*.f32 -1/2 (fma.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -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 -314159265359/100000000000 (+.f32 (*.f32 (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1) 1) (/.f32 (/.f32 u2 (sqrt.f32 -1)) u1)) (/.f32 (+.f32 u2 (*.f32 -1/2 (fma.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))
(*.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 u2 (/.f32 (sqrt.f32 -1) u1))))
(*.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 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) u2)))))
(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 u2 (/.f32 (sqrt.f32 -1) u1)) (+.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 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) u2)) (fma.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2) (fma.f32 314159265359/100000000000 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (*.f32 942477796077/400000000000 (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) u2))))))
(fma.f32 314159265359/160000000000 (*.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) u2) (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) (fma.f32 314159265359/160000000000 (*.f32 u2 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 (*.f32 u2 (/.f32 (sqrt.f32 -1) u1)) (+.f32 314159265359/100000000000 (/.f32 942477796077/400000000000 u1)))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 -1) u2) (+.f32 314159265359/50000000000 (/.f32 314159265359/100000000000 u1))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 u2 u1)) (+.f32 942477796077/400000000000 (/.f32 314159265359/160000000000 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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 -314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(*.f32 -314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 -314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 -314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(*.f32 -314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 -314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 -314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(*.f32 -314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 -314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 u2 -314159265359/50000000000))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(*.f32 (pow.f32 u2 2) u1)
(*.f32 u1 (*.f32 u2 u2))
(*.f32 u2 (*.f32 u2 u1))
(+.f32 (*.f32 (pow.f32 u2 2) u1) (*.f32 (pow.f32 u2 2) (pow.f32 u1 2)))
(*.f32 (*.f32 u2 u2) (+.f32 u1 (*.f32 u1 u1)))
(*.f32 u2 (*.f32 u2 (+.f32 u1 (*.f32 u1 u1))))
(*.f32 u2 (*.f32 u2 (fma.f32 u1 u1 u1)))
(+.f32 (*.f32 (pow.f32 u2 2) u1) (+.f32 (*.f32 (pow.f32 u2 2) (pow.f32 u1 2)) (*.f32 (pow.f32 u2 2) (pow.f32 u1 3))))
(fma.f32 (*.f32 u2 u2) u1 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 u1 u1) (pow.f32 u1 3))))
(*.f32 (*.f32 u2 u2) (+.f32 u1 (fma.f32 u1 u1 (pow.f32 u1 3))))
(*.f32 (*.f32 u2 u2) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(*.f32 u2 (*.f32 u2 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(+.f32 (*.f32 (pow.f32 u2 2) u1) (+.f32 (*.f32 (pow.f32 u2 2) (pow.f32 u1 2)) (+.f32 (*.f32 (pow.f32 u2 2) (pow.f32 u1 3)) (*.f32 (pow.f32 u2 2) (pow.f32 u1 4)))))
(+.f32 (*.f32 (*.f32 u2 u2) (+.f32 u1 (*.f32 u1 u1))) (*.f32 (*.f32 u2 u2) (+.f32 (pow.f32 u1 3) (pow.f32 u1 4))))
(*.f32 (*.f32 u2 u2) (+.f32 (+.f32 u1 (*.f32 u1 u1)) (+.f32 (pow.f32 u1 3) (pow.f32 u1 4))))
(*.f32 (*.f32 u2 u2) (*.f32 (+.f32 (*.f32 u1 u1) 1) (fma.f32 u1 u1 u1)))
(*.f32 -1 (pow.f32 u2 2))
(neg.f32 (*.f32 u2 u2))
(*.f32 u2 (neg.f32 u2))
(+.f32 (*.f32 -1 (/.f32 (pow.f32 u2 2) u1)) (*.f32 -1 (pow.f32 u2 2)))
(*.f32 -1 (+.f32 (/.f32 (*.f32 u2 u2) u1) (*.f32 u2 u2)))
(-.f32 (neg.f32 (/.f32 u2 (/.f32 u1 u2))) (*.f32 u2 u2))
(neg.f32 (fma.f32 u2 u2 (*.f32 (/.f32 u2 u1) u2)))
(*.f32 u2 (-.f32 (neg.f32 u2) (/.f32 u2 u1)))
(+.f32 (*.f32 -1 (/.f32 (pow.f32 u2 2) u1)) (+.f32 (*.f32 -1 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2))) (*.f32 -1 (pow.f32 u2 2))))
(fma.f32 -1 (/.f32 (*.f32 u2 u2) u1) (fma.f32 -1 (/.f32 (*.f32 u2 u2) (*.f32 u1 u1)) (neg.f32 (*.f32 u2 u2))))
(-.f32 (-.f32 (neg.f32 (*.f32 (/.f32 u2 u1) (/.f32 u2 u1))) (*.f32 u2 u2)) (/.f32 u2 (/.f32 u1 u2)))
(-.f32 (*.f32 (*.f32 (/.f32 u2 u1) u2) (+.f32 -1 (/.f32 -1 u1))) (*.f32 u2 u2))
(+.f32 (*.f32 -1 (/.f32 (pow.f32 u2 2) u1)) (+.f32 (*.f32 -1 (/.f32 (pow.f32 u2 2) (pow.f32 u1 3))) (+.f32 (*.f32 -1 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2))) (*.f32 -1 (pow.f32 u2 2)))))
(fma.f32 -1 (/.f32 (*.f32 u2 u2) u1) (fma.f32 -1 (/.f32 (*.f32 u2 u2) (pow.f32 u1 3)) (fma.f32 -1 (/.f32 (*.f32 u2 u2) (*.f32 u1 u1)) (neg.f32 (*.f32 u2 u2)))))
(-.f32 (-.f32 (-.f32 (neg.f32 (*.f32 (/.f32 u2 u1) (/.f32 u2 u1))) (*.f32 u2 u2)) (/.f32 (*.f32 u2 u2) (pow.f32 u1 3))) (/.f32 u2 (/.f32 u1 u2)))
(-.f32 (*.f32 (*.f32 (/.f32 u2 u1) (/.f32 u2 u1)) (+.f32 (/.f32 -1 u1) -1)) (fma.f32 u2 u2 (*.f32 (/.f32 u2 u1) u2)))
(-.f32 (*.f32 (*.f32 (/.f32 u2 u1) (/.f32 u2 u1)) (+.f32 -1 (/.f32 -1 u1))) (*.f32 u2 (+.f32 u2 (/.f32 u2 u1))))
(*.f32 -1 (pow.f32 u2 2))
(neg.f32 (*.f32 u2 u2))
(*.f32 u2 (neg.f32 u2))
(+.f32 (*.f32 -1 (/.f32 (pow.f32 u2 2) u1)) (*.f32 -1 (pow.f32 u2 2)))
(*.f32 -1 (+.f32 (/.f32 (*.f32 u2 u2) u1) (*.f32 u2 u2)))
(-.f32 (neg.f32 (/.f32 u2 (/.f32 u1 u2))) (*.f32 u2 u2))
(neg.f32 (fma.f32 u2 u2 (*.f32 (/.f32 u2 u1) u2)))
(*.f32 u2 (-.f32 (neg.f32 u2) (/.f32 u2 u1)))
(+.f32 (*.f32 -1 (/.f32 (pow.f32 u2 2) u1)) (+.f32 (*.f32 -1 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2))) (*.f32 -1 (pow.f32 u2 2))))
(fma.f32 -1 (/.f32 (*.f32 u2 u2) u1) (fma.f32 -1 (/.f32 (*.f32 u2 u2) (*.f32 u1 u1)) (neg.f32 (*.f32 u2 u2))))
(-.f32 (-.f32 (neg.f32 (*.f32 (/.f32 u2 u1) (/.f32 u2 u1))) (*.f32 u2 u2)) (/.f32 u2 (/.f32 u1 u2)))
(-.f32 (*.f32 (*.f32 (/.f32 u2 u1) u2) (+.f32 -1 (/.f32 -1 u1))) (*.f32 u2 u2))
(+.f32 (*.f32 -1 (/.f32 (pow.f32 u2 2) u1)) (+.f32 (*.f32 -1 (/.f32 (pow.f32 u2 2) (pow.f32 u1 3))) (+.f32 (*.f32 -1 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2))) (*.f32 -1 (pow.f32 u2 2)))))
(fma.f32 -1 (/.f32 (*.f32 u2 u2) u1) (fma.f32 -1 (/.f32 (*.f32 u2 u2) (pow.f32 u1 3)) (fma.f32 -1 (/.f32 (*.f32 u2 u2) (*.f32 u1 u1)) (neg.f32 (*.f32 u2 u2)))))
(-.f32 (-.f32 (-.f32 (neg.f32 (*.f32 (/.f32 u2 u1) (/.f32 u2 u1))) (*.f32 u2 u2)) (/.f32 (*.f32 u2 u2) (pow.f32 u1 3))) (/.f32 u2 (/.f32 u1 u2)))
(-.f32 (*.f32 (*.f32 (/.f32 u2 u1) (/.f32 u2 u1)) (+.f32 (/.f32 -1 u1) -1)) (fma.f32 u2 u2 (*.f32 (/.f32 u2 u1) u2)))
(-.f32 (*.f32 (*.f32 (/.f32 u2 u1) (/.f32 u2 u1)) (+.f32 -1 (/.f32 -1 u1))) (*.f32 u2 (+.f32 u2 (/.f32 u2 u1))))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))
(*.f32 (/.f32 (*.f32 u2 u2) (-.f32 1 u1)) u1)
(*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))
(*.f32 (/.f32 (*.f32 u2 u2) (-.f32 1 u1)) u1)
(*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))
(*.f32 (/.f32 (*.f32 u2 u2) (-.f32 1 u1)) u1)
(*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))
(*.f32 (/.f32 (*.f32 u2 u2) (-.f32 1 u1)) u1)
(*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))
(*.f32 (/.f32 (*.f32 u2 u2) (-.f32 1 u1)) u1)
(*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))
(*.f32 (/.f32 (*.f32 u2 u2) (-.f32 1 u1)) u1)
(*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))
(*.f32 (/.f32 (*.f32 u2 u2) (-.f32 1 u1)) u1)
(*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))
(*.f32 (/.f32 (*.f32 u2 u2) (-.f32 1 u1)) u1)
(*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))
(*.f32 (/.f32 (*.f32 u2 u2) (-.f32 1 u1)) u1)
(*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))
(*.f32 (/.f32 (*.f32 u2 u2) (-.f32 1 u1)) u1)
(*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))
(*.f32 (/.f32 (*.f32 u2 u2) (-.f32 1 u1)) u1)
(*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))
(*.f32 (/.f32 (*.f32 u2 u2) (-.f32 1 u1)) u1)
(*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))
(*.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))
(fma.f32 (sqrt.f32 -1) u2 (/.f32 (*.f32 (/.f32 -1/2 u1) u2) (sqrt.f32 -1)))
(*.f32 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)) 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 u2 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (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 -1/2 (*.f32 (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1) 1) (/.f32 (/.f32 u2 (sqrt.f32 -1)) u1))))
(+.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 u2 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (fma.f32 (/.f32 (/.f32 u2 u1) (sqrt.f32 -1)) -1/2 (fma.f32 (sqrt.f32 -1) u2 (*.f32 -1/2 (*.f32 (/.f32 u2 (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (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 (sqrt.f32 -1) (*.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) u2 (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (/.f32 (+.f32 u2 (*.f32 -1/2 (fma.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2))) (pow.f32 u1 3))))))
(fma.f32 -1/2 (*.f32 (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1) 1) (/.f32 (/.f32 u2 (sqrt.f32 -1)) u1)) (fma.f32 (sqrt.f32 -1) u2 (*.f32 -1/2 (/.f32 (+.f32 u2 (*.f32 -1/2 (fma.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2))) (*.f32 (sqrt.f32 -1) (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 (sqrt.f32 -1) u2 (*.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) u2)))
(fma.f32 (sqrt.f32 -1) u2 (*.f32 1/2 (*.f32 u2 (/.f32 (sqrt.f32 -1) u1))))
(*.f32 (*.f32 (sqrt.f32 -1) u2) (+.f32 (/.f32 1/2 u1) 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 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) u2)) (*.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 u2 (/.f32 (sqrt.f32 -1) u1)) (+.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 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) u2)) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) u2)) (*.f32 (sqrt.f32 -1) u2))))
(fma.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) u2) (fma.f32 (*.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) u2) 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 u2 (/.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) u2 (*.f32 (*.f32 (/.f32 u2 (*.f32 u1 u1)) (sqrt.f32 -1)) (+.f32 (/.f32 5/16 u1) 3/8))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 -1) u2) (+.f32 (/.f32 1/2 u1) 1)) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 u2 u1)) (+.f32 (/.f32 5/16 u1) 3/8)))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 -1 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(neg.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 -1 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(neg.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 -1 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(neg.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 -1 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(neg.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))

localize155.0ms (1.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6))
✓0.4b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)))
✓0.6b
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)
✓1.4b
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)
Compiler

Compiled 57 to 42 computations (26.3% saved)

series131.0ms (1%)

Counts
4 → 64
Calls

18 calls:

TimeVariablePointExpression
102.0ms
u2
@0
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)))
18.0ms
u1
@0
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)))
2.0ms
u1
@0
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)
1.0ms
u1
@inf
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)
1.0ms
u1
@-inf
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)

rewrite78.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
603×log-prod_binary32
360×pow-prod-down_binary32
329×pow2_binary32
258×pow-unpow_binary32
223×pow1/3_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01349
128946
2343946
Stop Event
1×node limit
Counts
4 → 95
Calls
Call 1
Inputs
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)))
(*.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6))
Outputs
((#(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 (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 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(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 (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 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))) (#(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 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 +.f32 0 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u1 (*.f32 (/.f32 1 (-.f32 1 u1)) (pow.f32 (-.f32 (/.f32 1 u1) 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (-.f32 (/.f32 1 u1) 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (-.f32 (/.f32 1 u1) 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2) (/.f32 u1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2)) (*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (-.f32 (/.f32 1 u1) 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2) u1) (/.f32 1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2) 1) (/.f32 u1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2)) 2) 2) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (pow.f32 (-.f32 1 u1) 3) (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (pow.f32 (-.f32 (/.f32 1 u1) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2) (-.f32 (/.f32 1 u1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (neg.f32 u1) 3) (pow.f32 (neg.f32 (-.f32 1 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (pow.f32 u1 3)) (neg.f32 (pow.f32 (-.f32 1 u1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u1 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2)) (-.f32 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 u1) (pow.f32 (-.f32 (/.f32 1 u1) 1) -2)) (neg.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2) u1) (-.f32 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2) 1) (-.f32 (/.f32 1 u1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2) (neg.f32 u1)) (neg.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 3 (log.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1))))))
((#(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 (exp.f32 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000)))))))) (#(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 pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000) 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 sqrt.f32 (*.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000)))))) (#(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 +.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) u2))))) (#(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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) u2) 1)))) (#(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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) u2)) 2)))) (#(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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) u2)) 1))))))

simplify76.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
670×fma-def_binary32
587×distribute-rgt-out_binary32
465×times-frac_binary32
448×distribute-lft-out_binary32
371×associate-*l*_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01331340
14001280
213421188
357561125
Stop Event
1×node limit
Counts
159 → 157
Calls
Call 1
Inputs
(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))))))
(pow.f32 -1 1/6)
(+.f32 (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6))
(+.f32 (*.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6)))
(+.f32 (*.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (+.f32 (*.f32 5/16 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3)))) (pow.f32 -1 1/6))))
(pow.f32 -1 1/6)
(+.f32 (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6))
(+.f32 (*.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6)))
(+.f32 (*.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (+.f32 (*.f32 5/16 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3)))) (pow.f32 -1 1/6))))
(pow.f32 u1 3)
(+.f32 (*.f32 3 (pow.f32 u1 4)) (pow.f32 u1 3))
(+.f32 (*.f32 6 (pow.f32 u1 5)) (+.f32 (*.f32 3 (pow.f32 u1 4)) (pow.f32 u1 3)))
(+.f32 (*.f32 10 (pow.f32 u1 6)) (+.f32 (*.f32 6 (pow.f32 u1 5)) (+.f32 (*.f32 3 (pow.f32 u1 4)) (pow.f32 u1 3))))
-1
(neg.f32 (+.f32 1 (*.f32 3 (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (*.f32 6 (/.f32 1 (pow.f32 u1 2))) (*.f32 3 (/.f32 1 u1)))))
(neg.f32 (+.f32 1 (+.f32 (*.f32 6 (/.f32 1 (pow.f32 u1 2))) (+.f32 (*.f32 10 (/.f32 1 (pow.f32 u1 3))) (*.f32 3 (/.f32 1 u1))))))
-1
(neg.f32 (+.f32 1 (*.f32 3 (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (*.f32 6 (/.f32 1 (pow.f32 u1 2))) (*.f32 3 (/.f32 1 u1)))))
(neg.f32 (+.f32 1 (+.f32 (*.f32 6 (/.f32 1 (pow.f32 u1 2))) (+.f32 (*.f32 10 (/.f32 1 (pow.f32 u1 3))) (*.f32 3 (/.f32 1 u1))))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/100000000000 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 -314159265359/100000000000 (/.f32 (*.f32 u2 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/100000000000 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(*.f32 314159265359/50000000000 (*.f32 (pow.f32 -1 1/6) u2))
(+.f32 (*.f32 314159265359/100000000000 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 u1))) (*.f32 314159265359/50000000000 (*.f32 (pow.f32 -1 1/6) u2)))
(+.f32 (*.f32 314159265359/100000000000 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 u1))) (+.f32 (*.f32 942477796077/400000000000 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 (pow.f32 u1 2)))) (*.f32 314159265359/50000000000 (*.f32 (pow.f32 -1 1/6) u2))))
(+.f32 (*.f32 314159265359/100000000000 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 u1))) (+.f32 (*.f32 314159265359/160000000000 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 (pow.f32 u1 3)))) (+.f32 (*.f32 942477796077/400000000000 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 (pow.f32 u1 2)))) (*.f32 314159265359/50000000000 (*.f32 (pow.f32 -1 1/6) u2)))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 -1) u2)
(+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2)))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 u2 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 (sqrt.f32 -1) u2))))
(*.f32 (pow.f32 -1 1/6) u2)
(+.f32 (*.f32 (pow.f32 -1 1/6) u2) (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 u1))))
(+.f32 (*.f32 (pow.f32 -1 1/6) u2) (+.f32 (*.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 (pow.f32 u1 2)))) (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 u1)))))
(+.f32 (*.f32 5/16 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 (pow.f32 u1 3)))) (+.f32 (*.f32 (pow.f32 -1 1/6) u2) (+.f32 (*.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 (pow.f32 u1 2)))) (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 u1))))))
Outputs
(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)))))
(+.f32 (sqrt.f32 u1) (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (*.f32 3/8 (fabs.f32 (pow.f32 u1 5/2)))))
(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 (fabs.f32 (pow.f32 u1 5/2)))) (fma.f32 5/16 (fabs.f32 (pow.f32 u1 7/2)) (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))))
(pow.f32 -1 1/6)
(+.f32 (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6))
(fma.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (pow.f32 -1 1/6))
(fma.f32 1/2 (/.f32 (pow.f32 -1 1/6) u1) (pow.f32 -1 1/6))
(*.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 1/2 u1) 1))
(+.f32 (*.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6)))
(fma.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (*.f32 u1 u1))) (fma.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (pow.f32 -1 1/6)))
(fma.f32 3/8 (/.f32 (pow.f32 -1 1/6) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (pow.f32 -1 1/6) u1) (pow.f32 -1 1/6)))
(+.f32 (pow.f32 -1 1/6) (*.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 1/2 u1) (/.f32 3/8 (*.f32 u1 u1)))))
(*.f32 (pow.f32 -1 1/6) (+.f32 (+.f32 (/.f32 1/2 u1) 1) (/.f32 3/8 (*.f32 u1 u1))))
(+.f32 (*.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (+.f32 (*.f32 5/16 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3)))) (pow.f32 -1 1/6))))
(fma.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (*.f32 u1 u1))) (fma.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (fma.f32 5/16 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3))) (pow.f32 -1 1/6))))
(fma.f32 3/8 (/.f32 (pow.f32 -1 1/6) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (pow.f32 -1 1/6) u1) (fma.f32 5/16 (/.f32 (pow.f32 -1 1/6) (pow.f32 u1 3)) (pow.f32 -1 1/6))))
(+.f32 (*.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 5/16 (pow.f32 u1 3)) 1)) (*.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 1/2 u1) (/.f32 3/8 (*.f32 u1 u1)))))
(*.f32 (pow.f32 -1 1/6) (+.f32 (+.f32 (/.f32 5/16 (pow.f32 u1 3)) 1) (+.f32 (/.f32 1/2 u1) (/.f32 3/8 (*.f32 u1 u1)))))
(pow.f32 -1 1/6)
(+.f32 (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6))
(fma.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (pow.f32 -1 1/6))
(fma.f32 1/2 (/.f32 (pow.f32 -1 1/6) u1) (pow.f32 -1 1/6))
(*.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 1/2 u1) 1))
(+.f32 (*.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6)))
(fma.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (*.f32 u1 u1))) (fma.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (pow.f32 -1 1/6)))
(fma.f32 3/8 (/.f32 (pow.f32 -1 1/6) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (pow.f32 -1 1/6) u1) (pow.f32 -1 1/6)))
(+.f32 (pow.f32 -1 1/6) (*.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 1/2 u1) (/.f32 3/8 (*.f32 u1 u1)))))
(*.f32 (pow.f32 -1 1/6) (+.f32 (+.f32 (/.f32 1/2 u1) 1) (/.f32 3/8 (*.f32 u1 u1))))
(+.f32 (*.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (+.f32 (*.f32 5/16 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3)))) (pow.f32 -1 1/6))))
(fma.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (*.f32 u1 u1))) (fma.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (fma.f32 5/16 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3))) (pow.f32 -1 1/6))))
(fma.f32 3/8 (/.f32 (pow.f32 -1 1/6) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (pow.f32 -1 1/6) u1) (fma.f32 5/16 (/.f32 (pow.f32 -1 1/6) (pow.f32 u1 3)) (pow.f32 -1 1/6))))
(+.f32 (*.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 5/16 (pow.f32 u1 3)) 1)) (*.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 1/2 u1) (/.f32 3/8 (*.f32 u1 u1)))))
(*.f32 (pow.f32 -1 1/6) (+.f32 (+.f32 (/.f32 5/16 (pow.f32 u1 3)) 1) (+.f32 (/.f32 1/2 u1) (/.f32 3/8 (*.f32 u1 u1)))))
(pow.f32 u1 3)
(+.f32 (*.f32 3 (pow.f32 u1 4)) (pow.f32 u1 3))
(fma.f32 3 (pow.f32 u1 4) (pow.f32 u1 3))
(+.f32 (*.f32 6 (pow.f32 u1 5)) (+.f32 (*.f32 3 (pow.f32 u1 4)) (pow.f32 u1 3)))
(fma.f32 6 (pow.f32 u1 5) (fma.f32 3 (pow.f32 u1 4) (pow.f32 u1 3)))
(fma.f32 (pow.f32 u1 5) 6 (fma.f32 3 (pow.f32 u1 4) (pow.f32 u1 3)))
(fma.f32 3 (pow.f32 u1 4) (fma.f32 (pow.f32 u1 5) 6 (pow.f32 u1 3)))
(+.f32 (*.f32 10 (pow.f32 u1 6)) (+.f32 (*.f32 6 (pow.f32 u1 5)) (+.f32 (*.f32 3 (pow.f32 u1 4)) (pow.f32 u1 3))))
(fma.f32 10 (pow.f32 u1 6) (fma.f32 6 (pow.f32 u1 5) (fma.f32 3 (pow.f32 u1 4) (pow.f32 u1 3))))
(fma.f32 10 (pow.f32 u1 6) (fma.f32 (pow.f32 u1 5) 6 (fma.f32 3 (pow.f32 u1 4) (pow.f32 u1 3))))
(fma.f32 10 (pow.f32 u1 6) (fma.f32 3 (pow.f32 u1 4) (fma.f32 (pow.f32 u1 5) 6 (pow.f32 u1 3))))
-1
(neg.f32 (+.f32 1 (*.f32 3 (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (/.f32 3 u1)))
(+.f32 -1 (/.f32 -3 u1))
(neg.f32 (+.f32 1 (+.f32 (*.f32 6 (/.f32 1 (pow.f32 u1 2))) (*.f32 3 (/.f32 1 u1)))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 3 u1) (/.f32 6 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 3 u1) (/.f32 6 (*.f32 u1 u1))))
(+.f32 (+.f32 -1 (/.f32 -3 u1)) (/.f32 -6 (*.f32 u1 u1)))
(neg.f32 (+.f32 1 (+.f32 (*.f32 6 (/.f32 1 (pow.f32 u1 2))) (+.f32 (*.f32 10 (/.f32 1 (pow.f32 u1 3))) (*.f32 3 (/.f32 1 u1))))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 6 (*.f32 u1 u1)) (+.f32 (/.f32 3 u1) (/.f32 10 (pow.f32 u1 3))))))
(-.f32 -1 (+.f32 (+.f32 (/.f32 3 u1) (/.f32 6 (*.f32 u1 u1))) (/.f32 10 (pow.f32 u1 3))))
(-.f32 (+.f32 (+.f32 -1 (/.f32 -3 u1)) (/.f32 -6 (*.f32 u1 u1))) (/.f32 10 (pow.f32 u1 3)))
(+.f32 -1 (+.f32 (/.f32 -3 u1) (-.f32 (/.f32 -6 (*.f32 u1 u1)) (/.f32 10 (pow.f32 u1 3)))))
-1
(neg.f32 (+.f32 1 (*.f32 3 (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (/.f32 3 u1)))
(+.f32 -1 (/.f32 -3 u1))
(neg.f32 (+.f32 1 (+.f32 (*.f32 6 (/.f32 1 (pow.f32 u1 2))) (*.f32 3 (/.f32 1 u1)))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 3 u1) (/.f32 6 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 3 u1) (/.f32 6 (*.f32 u1 u1))))
(+.f32 (+.f32 -1 (/.f32 -3 u1)) (/.f32 -6 (*.f32 u1 u1)))
(neg.f32 (+.f32 1 (+.f32 (*.f32 6 (/.f32 1 (pow.f32 u1 2))) (+.f32 (*.f32 10 (/.f32 1 (pow.f32 u1 3))) (*.f32 3 (/.f32 1 u1))))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 6 (*.f32 u1 u1)) (+.f32 (/.f32 3 u1) (/.f32 10 (pow.f32 u1 3))))))
(-.f32 -1 (+.f32 (+.f32 (/.f32 3 u1) (/.f32 6 (*.f32 u1 u1))) (/.f32 10 (pow.f32 u1 3))))
(-.f32 (+.f32 (+.f32 -1 (/.f32 -3 u1)) (/.f32 -6 (*.f32 u1 u1))) (/.f32 10 (pow.f32 u1 3)))
(+.f32 -1 (+.f32 (/.f32 -3 u1) (-.f32 (/.f32 -6 (*.f32 u1 u1)) (/.f32 10 (pow.f32 u1 3)))))
(*.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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)) (/.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 u1 (sqrt.f32 -1))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)) (*.f32 (/.f32 -314159265359/100000000000 (sqrt.f32 -1)) (/.f32 u2 u1)))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)) (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 u1 (sqrt.f32 -1)))))
(*.f32 u2 (+.f32 (*.f32 314159265359/50000000000 (sqrt.f32 -1)) (/.f32 -314159265359/100000000000 (*.f32 u1 (sqrt.f32 -1)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/100000000000 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)) (*.f32 -314159265359/100000000000 (+.f32 (/.f32 u2 (*.f32 u1 (sqrt.f32 -1))) (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 u2 (*.f32 u1 u1))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)) (*.f32 -314159265359/100000000000 (+.f32 (/.f32 u2 (*.f32 u1 (sqrt.f32 -1))) (/.f32 (+.f32 u2 (*.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2)) (*.f32 u1 (*.f32 u1 (sqrt.f32 -1)))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)) (*.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 u2 (sqrt.f32 -1)) (*.f32 (/.f32 -314159265359/100000000000 (*.f32 u1 (sqrt.f32 -1))) (+.f32 (/.f32 (fma.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2) u1) u2)))
(+.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 u2 (sqrt.f32 -1)) (*.f32 -314159265359/100000000000 (+.f32 (/.f32 u2 (*.f32 u1 (sqrt.f32 -1))) (*.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 1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) -1) u2) (*.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)) (*.f32 -314159265359/100000000000 (+.f32 (/.f32 u2 (*.f32 u1 (sqrt.f32 -1))) (/.f32 (+.f32 u2 (*.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2)) (*.f32 u1 (*.f32 u1 (sqrt.f32 -1))))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)) (fma.f32 -314159265359/100000000000 (/.f32 (fma.f32 u2 (+.f32 -1/2 (*.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) u2) (*.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (*.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 u2 (sqrt.f32 -1)) (*.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 (+.f32 -1/2 (*.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2))) u1))))))
(*.f32 314159265359/50000000000 (*.f32 (pow.f32 -1 1/6) u2))
(*.f32 (pow.f32 -1 1/6) (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 314159265359/100000000000 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 u1))) (*.f32 314159265359/50000000000 (*.f32 (pow.f32 -1 1/6) u2)))
(fma.f32 314159265359/100000000000 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 u1)) (*.f32 314159265359/50000000000 (*.f32 (pow.f32 -1 1/6) u2)))
(fma.f32 314159265359/50000000000 (*.f32 (pow.f32 -1 1/6) u2) (*.f32 (pow.f32 -1 1/6) (*.f32 (/.f32 u2 u1) 314159265359/100000000000)))
(*.f32 (pow.f32 -1 1/6) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 314159265359/100000000000 (/.f32 u2 u1))))
(+.f32 (*.f32 314159265359/100000000000 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 u1))) (+.f32 (*.f32 942477796077/400000000000 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 (pow.f32 u1 2)))) (*.f32 314159265359/50000000000 (*.f32 (pow.f32 -1 1/6) u2))))
(fma.f32 314159265359/100000000000 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 u1)) (fma.f32 942477796077/400000000000 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 (*.f32 u1 u1))) (*.f32 314159265359/50000000000 (*.f32 (pow.f32 -1 1/6) u2))))
(fma.f32 314159265359/100000000000 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 u1)) (fma.f32 314159265359/50000000000 (*.f32 (pow.f32 -1 1/6) u2) (*.f32 (pow.f32 -1 1/6) (*.f32 (/.f32 u2 (*.f32 u1 u1)) 942477796077/400000000000))))
(fma.f32 (pow.f32 -1 1/6) (*.f32 314159265359/50000000000 u2) (*.f32 (pow.f32 -1 1/6) (+.f32 (*.f32 314159265359/100000000000 (/.f32 u2 u1)) (*.f32 942477796077/400000000000 (/.f32 u2 (*.f32 u1 u1))))))
(fma.f32 (pow.f32 -1 1/6) (*.f32 314159265359/50000000000 u2) (*.f32 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 u1)) (+.f32 314159265359/100000000000 (/.f32 942477796077/400000000000 u1))))
(+.f32 (*.f32 314159265359/100000000000 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 u1))) (+.f32 (*.f32 314159265359/160000000000 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 (pow.f32 u1 3)))) (+.f32 (*.f32 942477796077/400000000000 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 (pow.f32 u1 2)))) (*.f32 314159265359/50000000000 (*.f32 (pow.f32 -1 1/6) u2)))))
(fma.f32 314159265359/100000000000 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 u1)) (fma.f32 314159265359/160000000000 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 (pow.f32 u1 3))) (fma.f32 942477796077/400000000000 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 (*.f32 u1 u1))) (*.f32 314159265359/50000000000 (*.f32 (pow.f32 -1 1/6) u2)))))
(fma.f32 314159265359/100000000000 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 u1)) (fma.f32 314159265359/160000000000 (/.f32 (pow.f32 -1 1/6) (/.f32 (pow.f32 u1 3) u2)) (fma.f32 314159265359/50000000000 (*.f32 (pow.f32 -1 1/6) u2) (*.f32 (pow.f32 -1 1/6) (*.f32 (/.f32 u2 (*.f32 u1 u1)) 942477796077/400000000000)))))
(+.f32 (*.f32 (pow.f32 -1 1/6) (+.f32 (*.f32 314159265359/100000000000 (/.f32 u2 u1)) (*.f32 942477796077/400000000000 (/.f32 u2 (*.f32 u1 u1))))) (*.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 (*.f32 u2 314159265359/160000000000) (pow.f32 u1 3)) (*.f32 314159265359/50000000000 u2))))
(*.f32 (pow.f32 -1 1/6) (+.f32 (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 314159265359/100000000000 (/.f32 u2 u1))) (+.f32 (*.f32 942477796077/400000000000 (/.f32 u2 (*.f32 u1 u1))) (*.f32 314159265359/160000000000 (/.f32 u2 (pow.f32 u1 3))))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 -1) u2)
(*.f32 u2 (sqrt.f32 -1))
(+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2))
(fma.f32 -1/2 (/.f32 u2 (*.f32 u1 (sqrt.f32 -1))) (*.f32 u2 (sqrt.f32 -1)))
(fma.f32 u2 (sqrt.f32 -1) (*.f32 (/.f32 -1/2 u1) (/.f32 u2 (sqrt.f32 -1))))
(fma.f32 u2 (sqrt.f32 -1) (*.f32 (/.f32 u2 (*.f32 u1 (sqrt.f32 -1))) -1/2))
(*.f32 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)) 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 u1 (sqrt.f32 -1))) (*.f32 u2 (sqrt.f32 -1))))
(fma.f32 -1/2 (/.f32 (+.f32 u2 (*.f32 (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 u1) (/.f32 u2 (sqrt.f32 -1)))))
(fma.f32 u2 (sqrt.f32 -1) (*.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 u2 (sqrt.f32 -1) (*.f32 (/.f32 -1/2 (*.f32 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 u1 (sqrt.f32 -1))) (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 u2 (sqrt.f32 -1)))))
(fma.f32 -1/2 (/.f32 (+.f32 u2 (*.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2)) (*.f32 u1 (*.f32 u1 (sqrt.f32 -1)))) (fma.f32 (/.f32 u2 (*.f32 u1 (sqrt.f32 -1))) -1/2 (fma.f32 u2 (sqrt.f32 -1) (/.f32 -1/2 (/.f32 (*.f32 (pow.f32 u1 3) (sqrt.f32 -1)) (fma.f32 u2 (/.f32 (+.f32 1/2 (*.f32 1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) -1) u2))))))
(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 (+.f32 -1/2 (*.f32 (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 (fma.f32 u2 (+.f32 -1/2 (*.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) u2) (pow.f32 u1 3)) (*.f32 (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1) 1) (/.f32 u2 u1)))))
(*.f32 (pow.f32 -1 1/6) u2)
(+.f32 (*.f32 (pow.f32 -1 1/6) u2) (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 u1))))
(fma.f32 (pow.f32 -1 1/6) u2 (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 u1))))
(fma.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 u1)) (*.f32 (pow.f32 -1 1/6) u2))
(*.f32 (pow.f32 -1 1/6) (+.f32 u2 (*.f32 1/2 (/.f32 u2 u1))))
(+.f32 (*.f32 (pow.f32 -1 1/6) u2) (+.f32 (*.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 (pow.f32 u1 2)))) (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 u1)))))
(fma.f32 (pow.f32 -1 1/6) u2 (fma.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 (*.f32 u1 u1))) (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 u1)))))
(fma.f32 (pow.f32 -1 1/6) u2 (fma.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 u1)) (*.f32 (*.f32 3/8 (/.f32 u2 (*.f32 u1 u1))) (pow.f32 -1 1/6))))
(fma.f32 (pow.f32 -1 1/6) u2 (*.f32 (pow.f32 -1 1/6) (+.f32 (*.f32 1/2 (/.f32 u2 u1)) (/.f32 (*.f32 u2 3/8) (*.f32 u1 u1)))))
(fma.f32 (pow.f32 -1 1/6) u2 (*.f32 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 u1)) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (*.f32 5/16 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 (pow.f32 u1 3)))) (+.f32 (*.f32 (pow.f32 -1 1/6) u2) (+.f32 (*.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 (pow.f32 u1 2)))) (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 u1))))))
(fma.f32 5/16 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 (pow.f32 u1 3))) (fma.f32 (pow.f32 -1 1/6) u2 (fma.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 (*.f32 u1 u1))) (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 u1))))))
(fma.f32 5/16 (/.f32 (pow.f32 -1 1/6) (/.f32 (pow.f32 u1 3) u2)) (fma.f32 (pow.f32 -1 1/6) u2 (fma.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 u1)) (*.f32 (*.f32 3/8 (/.f32 u2 (*.f32 u1 u1))) (pow.f32 -1 1/6)))))
(+.f32 (*.f32 (pow.f32 -1 1/6) (+.f32 (*.f32 1/2 (/.f32 u2 u1)) (/.f32 (*.f32 u2 3/8) (*.f32 u1 u1)))) (*.f32 (pow.f32 -1 1/6) (+.f32 u2 (/.f32 (*.f32 u2 5/16) (pow.f32 u1 3)))))
(+.f32 (*.f32 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 u1)) (+.f32 1/2 (/.f32 3/8 u1))) (*.f32 (pow.f32 -1 1/6) (+.f32 u2 (*.f32 5/16 (/.f32 u2 (pow.f32 u1 3))))))

localize66.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series18.0ms (0.1%)

Counts
2 → 44
Calls

12 calls:

TimeVariablePointExpression
8.0ms
u2
@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) (sin.f32 (*.f32 314159265359/50000000000 u2)))
1.0ms
u1
@-inf
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2)))

rewrite94.0ms (0.7%)

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))))))

simplify106.0ms (0.8%)

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))))
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(+.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)))))))
(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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1))) (fma.f32 -1/2 (+.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 (sqrt.f32 -1))) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (sqrt.f32 -1)))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))))
(fma.f32 -1/2 (fma.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) (pow.f32 u1 3)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1))) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 (sqrt.f32 -1)))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (+.f32 (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) (pow.f32 u1 3)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1))) (/.f32 1 u1))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
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(fma.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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.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)))))))
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(*.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))))))))
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(*.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))))

eval731.0ms (5.3%)

Compiler

Compiled 15979 to 12465 computations (22% saved)

prune321.0ms (2.3%)

Pruning

58 alts after pruning (48 fresh and 10 done)

PrunedKeptTotal
New77120791
Fresh152843
Picked101
Done31013
Total79058848
Error
0.0b
Counts
848 → 58
Alt Table
Click to see full alt table
StatusErrorProgram
7.2b
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
7.2b
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
10.3b
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.7b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
17.0b
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (-.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 1))
10.6b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 u1 3) 1/6)))
15.3b
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
13.7b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
0.6b
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
3.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 (pow.f32 u2 3) (+.f32 (*.f32 u2 -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000))))
10.3b
(sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
4.8b
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
28.2b
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 u1))) 1)
7.1b
(sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (fma.f32 u1 u1 u1)))
25.2b
(*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
✓4.3b
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
7.8b
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (pow.f32 u1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))
4.8b
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
20.2b
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
9.5b
(*.f32 (sqrt.f32 u1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
1.4b
(*.f32 (sqrt.f32 (exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))) (sin.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
10.3b
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u2 (*.f32 u2 u1))))
0.9b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))
4.2b
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (+.f32 1 (*.f32 u1 1/2)))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
4.6b
(sqrt.f32 (*.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
✓0.9b
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)
✓2.7b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
23.5b
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
4.8b
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
8.5b
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
30.6b
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
4.8b
(*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 (*.f32 u2 u2) (-.f32 (/.f32 1 u1) 1))))
1.0b
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)))
✓7.2b
(*.f32 (*.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
4.8b
(*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) (*.f32 u1 (*.f32 u2 u2))))))
25.7b
(*.f32 (*.f32 314159265359/50000000000 u2) u1)
4.8b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
4.6b
(sqrt.f32 (*.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (*.f32 u2 u2))) 98696044010906577398881/2500000000000000000000))
30.5b
(*.f32 (*.f32 u1 u2) -314159265359/50000000000)
24.9b
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
25.6b
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
2.7b
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 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)))))
0.5b
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
10.7b
(exp.f32 (log.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))))
1.5b
(*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (sin.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
1.2b
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (*.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12)) 3))
20.2b
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 1)
✓1.2b
(*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
✓10.3b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
4.8b
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
✓4.8b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
✓25.7b
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
0.6b
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
5.9b
(*.f32 314159265359/50000000000 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (*.f32 u2 u2)))) 1/2)))
21.5b
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))
0.7b
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (sin.f32 (*.f32 314159265359/50000000000 u2))))
Compiler

Compiled 899 to 715 computations (20.5% saved)

regimes875.0ms (6.4%)

Counts
107 → 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 1 (*.f32 314159265359/50000000000 (*.f32 u2 u1))) 1)
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u2 (*.f32 u2 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 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.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)))
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(sqrt.f32 (*.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 (*.f32 u2 u2) (-.f32 (/.f32 1 u1) 1))))
(sqrt.f32 (*.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (*.f32 u2 u2))) 98696044010906577398881/2500000000000000000000))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) (*.f32 u1 (*.f32 u2 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 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 (*.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 u1 3) 1/6)))
(*.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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (fma.f32 u1 u1 u1)))
(/.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(sqrt.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)))
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (+.f32 1 (*.f32 u1 1/2)))
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 314159265359/50000000000 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (*.f32 u2 u2)))) 1/2)))
(*.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))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 (pow.f32 u2 3) (+.f32 (*.f32 u2 -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000))))
(exp.f32 (log.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.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)))
(*.f32 314159265359/50000000000 (exp.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))) 2)
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(pow.f32 (cbrt.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)
(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 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (pow.f32 u1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (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 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (log1p.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 u2 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 31006276680305942139213528068663279/750000000000000000000000000000000))))))))
(+.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))))))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (log1p.f32 (expm1.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))) (sin.f32 (exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))))
(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))
(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))) (sin.f32 (pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 1)
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))) 1)
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 1)
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 1)
(*.f32 (sqrt.f32 (*.f32 (/.f32 (cbrt.f32 (*.f32 u1 u1)) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (pow.f32 (E.f32) (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (sin.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) -2) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (*.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12)) 3))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (-.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 1))
(*.f32 (sqrt.f32 (exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))) (sin.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(*.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))))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (pow.f32 (E.f32) (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.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)))))))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (+.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)))))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))
(+.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))))))
(+.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))))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))))
Calls

10 calls:

139.0ms
u1
101.0ms
cosTheta_i
97.0ms
(/.f32 u1 (-.f32 1 u1))
75.0ms
(*.f32 314159265359/50000000000 u2)
73.0ms
(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(/.f32 u1 (-.f32 1 u1))
0.5b1(sin.f32 (*.f32 314159265359/50000000000 u2))
0.5b1(sin.f32 (*.f32 314159265359/50000000000 u2))
0.5b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 1537 to 1113 computations (27.6% saved)

regimes694.0ms (5.1%)

Counts
79 → 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 1 (*.f32 314159265359/50000000000 (*.f32 u2 u1))) 1)
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u2 (*.f32 u2 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 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.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)))
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(sqrt.f32 (*.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 (*.f32 u2 u2) (-.f32 (/.f32 1 u1) 1))))
(sqrt.f32 (*.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (*.f32 u2 u2))) 98696044010906577398881/2500000000000000000000))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) (*.f32 u1 (*.f32 u2 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 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 (*.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 u1 3) 1/6)))
(*.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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(sqrt.f32 (*.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (fma.f32 u1 u1 u1)))
(/.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(sqrt.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)))
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (+.f32 1 (*.f32 u1 1/2)))
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 314159265359/50000000000 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (*.f32 u2 u2)))) 1/2)))
(*.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))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 (pow.f32 u2 3) (+.f32 (*.f32 u2 -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000))))
(exp.f32 (log.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.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)))
(*.f32 314159265359/50000000000 (exp.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))) 2)
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(pow.f32 (cbrt.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)
(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 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (pow.f32 u1 1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (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 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (log1p.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 u2 (+.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 31006276680305942139213528068663279/750000000000000000000000000000000))))))))
(+.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))))))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
Outputs
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
Calls

10 calls:

182.0ms
(/.f32 u1 (-.f32 1 u1))
66.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
59.0ms
(/.f32 u1 (-.f32 1 u1))
50.0ms
u1
50.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
Results
ErrorSegmentsBranch
0.5b1cosTheta_i
0.5b1u1
0.5b1u2
0.5b1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.5b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
0.5b1(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 1008 to 699 computations (30.7% saved)

regimes621.0ms (4.5%)

Counts
37 → 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 1 (*.f32 314159265359/50000000000 (*.f32 u2 u1))) 1)
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u2 (*.f32 u2 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 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.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)))
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(sqrt.f32 (*.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 (*.f32 u2 u2) (-.f32 (/.f32 1 u1) 1))))
(sqrt.f32 (*.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (*.f32 u2 u2))) 98696044010906577398881/2500000000000000000000))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) (*.f32 u1 (*.f32 u2 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 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 (*.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 u1 3) 1/6)))
(*.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))))
Outputs
(sqrt.f32 (*.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Calls

11 calls:

68.0ms
u2
66.0ms
(/.f32 u1 (-.f32 1 u1))
64.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
62.0ms
u1
62.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
Results
ErrorSegmentsBranch
4.6b1cosTheta_i
3.6b2u1
3.1b2u2
3.6b2(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
3.6b2(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
3.6b2(/.f32 u1 (-.f32 1 u1))
3.6b2(/.f32 u1 (-.f32 1 u1))
3.4b2(sin.f32 (*.f32 314159265359/50000000000 u2))
3.4b2(sin.f32 (*.f32 314159265359/50000000000 u2))
3.1b2(*.f32 314159265359/50000000000 u2)
3.1b2(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 424 to 279 computations (34.2% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.02111247554421425
0.02295413613319397
Compiler

Compiled 20 to 16 computations (20% saved)

regimes236.0ms (1.7%)

Counts
29 → 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 1 (*.f32 314159265359/50000000000 (*.f32 u2 u1))) 1)
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u2 (*.f32 u2 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 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.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)))
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(sqrt.f32 (*.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 (*.f32 u2 u2) (-.f32 (/.f32 1 u1) 1))))
(sqrt.f32 (*.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (*.f32 u2 u2))) 98696044010906577398881/2500000000000000000000))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) (*.f32 u1 (*.f32 u2 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 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
Calls

10 calls:

47.0ms
(*.f32 314159265359/50000000000 u2)
33.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
27.0ms
(/.f32 u1 (-.f32 1 u1))
23.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
19.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
Results
ErrorSegmentsBranch
4.6b1cosTheta_i
4.6b1u1
4.6b1u2
4.6b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
4.6b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
4.6b1(/.f32 u1 (-.f32 1 u1))
4.6b1(sin.f32 (*.f32 314159265359/50000000000 u2))
4.6b1(sin.f32 (*.f32 314159265359/50000000000 u2))
4.6b1(*.f32 314159265359/50000000000 u2)
4.6b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 350 to 240 computations (31.4% saved)

regimes185.0ms (1.3%)

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 1 (*.f32 314159265359/50000000000 (*.f32 u2 u1))) 1)
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u2 (*.f32 u2 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 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.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)))
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
Outputs
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
Calls

9 calls:

59.0ms
(/.f32 u1 (-.f32 1 u1))
41.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
13.0ms
(*.f32 314159265359/50000000000 u2)
12.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
12.0ms
u2
Results
ErrorSegmentsBranch
4.8b1cosTheta_i
4.8b1u1
4.8b1u2
4.8b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
4.8b1(/.f32 u1 (-.f32 1 u1))
4.8b1(sin.f32 (*.f32 314159265359/50000000000 u2))
4.8b1(sin.f32 (*.f32 314159265359/50000000000 u2))
4.8b1(*.f32 314159265359/50000000000 u2)
4.8b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 227 to 156 computations (31.3% saved)

regimes110.0ms (0.8%)

Counts
14 → 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 1 (*.f32 314159265359/50000000000 (*.f32 u2 u1))) 1)
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u2 (*.f32 u2 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 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
Outputs
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u2 (*.f32 u2 u1))))
Calls

9 calls:

34.0ms
u2
12.0ms
cosTheta_i
10.0ms
(/.f32 u1 (-.f32 1 u1))
9.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
8.0ms
(*.f32 314159265359/50000000000 u2)
Results
ErrorSegmentsBranch
10.3b1cosTheta_i
10.3b1u1
10.3b1u2
10.3b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
10.3b1(/.f32 u1 (-.f32 1 u1))
10.3b1(sin.f32 (*.f32 314159265359/50000000000 u2))
10.3b1(sin.f32 (*.f32 314159265359/50000000000 u2))
10.3b1(*.f32 314159265359/50000000000 u2)
10.3b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 164 to 109 computations (33.5% saved)

regimes85.0ms (0.6%)

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 1 (*.f32 314159265359/50000000000 (*.f32 u2 u1))) 1)
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
Outputs
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
Calls

6 calls:

41.0ms
(*.f32 314159265359/50000000000 u2)
22.0ms
cosTheta_i
5.0ms
(*.f32 314159265359/50000000000 u2)
5.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
5.0ms
u1
Results
ErrorSegmentsBranch
10.3b1cosTheta_i
10.3b1u1
10.3b1u2
10.3b1(sin.f32 (*.f32 314159265359/50000000000 u2))
10.3b1(*.f32 314159265359/50000000000 u2)
10.3b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 78 to 56 computations (28.2% saved)

regimes38.0ms (0.3%)

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 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:

9.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
7.0ms
(*.f32 314159265359/50000000000 u2)
5.0ms
u1
5.0ms
(*.f32 314159265359/50000000000 u2)
5.0ms
u2
Results
ErrorSegmentsBranch
10.3b1cosTheta_i
10.3b1u1
10.3b1u2
10.3b1(sin.f32 (*.f32 314159265359/50000000000 u2))
10.3b1(*.f32 314159265359/50000000000 u2)
10.3b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 70 to 51 computations (27.1% saved)

regimes24.0ms (0.2%)

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 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:

5.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
4.0ms
(*.f32 314159265359/50000000000 u2)
4.0ms
u2
4.0ms
u1
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 58 to 42 computations (27.6% saved)

regimes16.0ms (0.1%)

Accuracy

Total -5.0b remaining (-19.3%)

Threshold costs -5.0b (-19.3%)

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

4 calls:

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

Compiled 45 to 32 computations (28.9% saved)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
17×*-commutative_binary32
3×+-commutative_binary32
2×sub-neg_binary32
1×neg-sub0_binary32
1×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043158
164158
267158
369158
470158
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(if (<=.f32 (*.f32 314159265359/50000000000 u2) 1476395/67108864) (sqrt.f32 (*.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(sqrt.f32 (*.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u2 (*.f32 u2 u1))))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
(*.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 u1 (-.f32 1 u1))) (sin.f32 (log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(if (<=.f32 (*.f32 314159265359/50000000000 u2) 1476395/67108864) (sqrt.f32 (*.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(if (<=.f32 (*.f32 314159265359/50000000000 u2) 1476395/67108864) (sqrt.f32 (*.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000)) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))
(sqrt.f32 (*.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u2 (*.f32 u2 u1))))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u2 (*.f32 u1 u2))))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.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 134 to 103 computations (23.1% saved)

soundness0.0ms (0%)

end77.0ms (0.6%)

Compiler

Compiled 107 to 73 computations (31.8% saved)

Profiling

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