Details

Time bar (total: 13.8s)

analyze160.0ms (1.2%)

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

Compiled 37 to 28 computations (24.3% saved)

sample2.4s (17%)

Results
2.3s8256×body256valid
1.0ms3×body256invalid

preprocess23.0ms (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)

simplify9.0ms (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)))

eval0.0ms (0%)

Compiler

Compiled 14 to 11 computations (21.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 14 to 11 computations (21.4% saved)

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(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)

series10.0ms (0.1%)

Counts
4 → 36
Calls

15 calls:

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

rewrite90.0ms (0.7%)

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))))))
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(-.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))))))

simplify77.0ms (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))))
(+.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)))))))
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(fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 314159265359/50000000000 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(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)))))

eval70.0ms (0.5%)

Compiler

Compiled 3176 to 2490 computations (21.6% saved)

prune62.0ms (0.4%)

Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New15526181
Fresh000
Picked011
Done000
Total15527182
Error
0.0b
Counts
182 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
▶4.4b
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (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)))
0.9b
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)
7.9b
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
▶0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
0.5b
(*.f32 (sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
1.7b
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
3.3b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
0.7b
(*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 4)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
3.4b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
12.1b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.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)))
12.2b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1))
0.8b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)))
13.2b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
1.4b
(*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.6b
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.6b
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
6.1b
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
19.0b
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 1)
▶6.0b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
0.9b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))
1.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))))
▶12.1b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
3.6b
(pow.f32 (E.f32) (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
3.1b
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
Compiler

Compiled 878 to 711 computations (19% saved)

localize61.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiled 52 to 38 computations (26.9% saved)

series57.0ms (0.4%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
29.0ms
u2
@inf
(log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))
24.0ms
u2
@-inf
(log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))
1.0ms
u2
@0
(log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))
1.0ms
u1
@0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
0.0ms
u2
@inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))

rewrite76.0ms (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
01331
124931
2304831
Stop Event
1×node limit
Counts
3 → 79
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(expm1.f32 (log1p.f32 (sin.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 0 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)) (log.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) (log.f32 (-.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2) (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sin.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (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))) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.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 /.f32 (-.f32 (pow.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))) 3) 1) (+.f32 (pow.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2) (+.f32 1 (*.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2) 1) (+.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1))))) (#(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 (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 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 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 fma.f32 1 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2) (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2)))) -1)))))

simplify74.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
663×distribute-rgt-out_binary32
630×associate-/l/_binary32
523×distribute-rgt-in_binary32
520×fma-def_binary32
371×associate-/r/_binary32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0100895
1292848
2880781
33566687
46309677
Stop Event
1×node limit
Counts
123 → 115
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 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (*.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(log.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 314159265359/50000000000 u2)
(+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.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)) u1) (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)) (+.f32 -1/2 (/.f32 -3/8 u1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(fma.f32 -1/2 (/.f32 (+.f32 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 (*.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (*.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 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -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 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 (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 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (/.f32 (sqrt.f32 -1) 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 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (/.f32 (sqrt.f32 -1) 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))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5)) (*.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.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))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (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))))))
(*.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 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (*.f32 314159265359/50000000000 u2))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (*.f32 314159265359/50000000000 u2))
(fma.f32 314159265359/50000000000 u2 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)))
(*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 u2 -98696044010906577398881/5000000000000000000000)))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 314159265359/50000000000 u2 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(fma.f32 314159265359/50000000000 u2 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 u2 31006276680305942139213528068663279/750000000000000000000000000000000) -98696044010906577398881/5000000000000000000000)))
(*.f32 u2 (+.f32 (*.f32 u2 (+.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 31006276680305942139213528068663279/750000000000000000000000000000000))) 314159265359/50000000000))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (*.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 314159265359/50000000000 u2 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(fma.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 314159265359/50000000000 u2 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 u2 31006276680305942139213528068663279/750000000000000000000000000000000) -98696044010906577398881/5000000000000000000000))))
(fma.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4) (*.f32 u2 (+.f32 (*.f32 u2 (+.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 31006276680305942139213528068663279/750000000000000000000000000000000))) 314159265359/50000000000)))
(log.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(log.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(log.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(log.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(log.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(log.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(log.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(log.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 314159265359/50000000000 u2)
(+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(fma.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))))
(fma.f32 314159265359/50000000000 u2 (fma.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)))))
(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)))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))

localize42.0ms (0.3%)

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)

series10.0ms (0.1%)

Counts
3 → 24
Calls

15 calls:

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

rewrite69.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
121136
2266936
Stop Event
1×node limit
Counts
3 → 96
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) (/.f32 u1 (-.f32 1 u1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))) 2)) (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))))) (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 u1) u2) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u2 (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 2)) (cbrt.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (sqrt.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) 1))))))
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simplify70.0ms (0.5%)

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

Useful iterations: 4 (0.0ms)

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

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(sqrt.f32 (fma.f32 u1 u1 u1))
0.2b
(sin.f32 (*.f32 314159265359/50000000000 u2))
0.3b
(*.f32 314159265359/50000000000 u2)
✓0.4b
(*.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
4.0ms
u2
@0
(*.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
@inf
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
1.0ms
u1
@-inf
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
1.0ms
u1
@inf
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))

rewrite67.0ms (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))))))))

simplify95.0ms (0.7%)

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)))

localize114.0ms (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 (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)

series3.0ms (0%)

Counts
2 → 32
Calls

9 calls:

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

rewrite121.0ms (0.9%)

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) 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simplify101.0ms (0.7%)

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))))

localize98.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.3b
(*.f32 314159265359/50000000000 u2)
✓0.3b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
✓12.0b
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
Compiler

Compiled 63 to 48 computations (23.8% saved)

series53.0ms (0.4%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
35.0ms
u2
@-inf
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
12.0ms
u2
@inf
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
2.0ms
u2
@0
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
1.0ms
u1
@0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
0.0ms
u2
@-inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))

rewrite106.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
631×log-prod_binary32
409×prod-diff_binary32
342×pow2_binary32
258×fma-def_binary32
238×pow1/3_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01431
129431
2351931
Stop Event
1×node limit
Counts
3 → 102
Calls
Call 1
Inputs
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))
Outputs
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((#(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 /.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 (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 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3)) 1/3)))) (#(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 cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))) (log.f32 (sqrt.f32 (exp.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (pow.f32 (cbrt.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2) (cbrt.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1) (expm1.f32 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (expm1.f32 (*.f32 3 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (+.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2) (+.f32 1 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (expm1.f32 (*.f32 2 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (+.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2) (cbrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (pow.f32 (cbrt.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2) (cbrt.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 1 (pow.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 3)) (/.f32 1 (fma.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (-.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (-.f32 1 (pow.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2)) (/.f32 1 (-.f32 1 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1) (expm1.f32 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 0)))))

simplify78.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
635×distribute-rgt-out_binary32
622×associate-/l/_binary32
504×fma-def_binary32
491×distribute-rgt-in_binary32
371×associate-/r/_binary32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0101895
1294848
2873782
33486690
46090680
Stop Event
1×node limit
Counts
146 → 139
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 u2)
(+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.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 -9740909103402808085817682884085781839780052161/50000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (*.f32 -9740909103402808085817682884085781839780052161/50000000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 -3060196847853821555298148281676017575122444629042460390799/4687500000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(-.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)
(-.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)
(-.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)
(-.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)
(-.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)
(-.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)
(-.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)
(-.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)
Outputs
(*.f32 314159265359/50000000000 u2)
(+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
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(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (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))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (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)))
(*.f32 u2 (+.f32 (*.f32 u2 98696044010906577398881/5000000000000000000000) 314159265359/50000000000))
(*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 u2 98696044010906577398881/5000000000000000000000)))
(+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (*.f32 -9740909103402808085817682884085781839780052161/50000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(fma.f32 314159265359/50000000000 u2 (fma.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (*.f32 -9740909103402808085817682884085781839780052161/50000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(fma.f32 -9740909103402808085817682884085781839780052161/50000000000000000000000000000000000000000000 (pow.f32 u2 4) (*.f32 u2 (+.f32 (*.f32 u2 98696044010906577398881/5000000000000000000000) 314159265359/50000000000)))
(fma.f32 -9740909103402808085817682884085781839780052161/50000000000000000000000000000000000000000000 (pow.f32 u2 4) (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 u2 98696044010906577398881/5000000000000000000000))))
(+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (*.f32 -9740909103402808085817682884085781839780052161/50000000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 -3060196847853821555298148281676017575122444629042460390799/4687500000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(fma.f32 314159265359/50000000000 u2 (fma.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 -9740909103402808085817682884085781839780052161/50000000000000000000000000000000000000000000 (pow.f32 u2 4) (*.f32 (pow.f32 u2 5) -3060196847853821555298148281676017575122444629042460390799/4687500000000000000000000000000000000000000000000000000))))
(fma.f32 314159265359/50000000000 u2 (fma.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 (pow.f32 u2 5) -3060196847853821555298148281676017575122444629042460390799/4687500000000000000000000000000000000000000000000000000 (*.f32 -9740909103402808085817682884085781839780052161/50000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 314159265359/50000000000 u2 (fma.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000) (fma.f32 (pow.f32 u2 5) -3060196847853821555298148281676017575122444629042460390799/4687500000000000000000000000000000000000000000000000000 (*.f32 -9740909103402808085817682884085781839780052161/50000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 314159265359/50000000000 u2 (fma.f32 -9740909103402808085817682884085781839780052161/50000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000) (*.f32 (pow.f32 u2 5) -3060196847853821555298148281676017575122444629042460390799/4687500000000000000000000000000000000000000000000000000))))
(-.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)
(expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(-.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)
(expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(-.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)
(expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(-.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)
(expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(-.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)
(expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(-.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)
(expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(-.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)
(expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(-.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)
(expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))

eval477.0ms (3.5%)

Compiler

Compiled 15814 to 12173 computations (23% saved)

prune244.0ms (1.8%)

Pruning

52 alts after pruning (47 fresh and 5 done)

PrunedKeptTotal
New83738875
Fresh12921
Picked011
Done145
Total85052902
Error
0.0b
Counts
902 → 52
Alt Table
Click to see full alt table
StatusErrorProgram
6.1b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)))
6.1b
(*.f32 314159265359/50000000000 (*.f32 u2 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
0.6b
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
12.2b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1))
6.5b
(*.f32 314159265359/50000000000 (*.f32 u2 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))))
6.5b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)))
5.3b
(*.f32 (pow.f32 (pow.f32 (fma.f32 u1 u1 u1) 3/2) 1/3) (sin.f32 (*.f32 314159265359/50000000000 u2)))
8.9b
(*.f32 (*.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
25.7b
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
6.0b
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
6.3b
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))) 3)
▶11.1b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
8.3b
(*.f32 (sqrt.f32 (exp.f32 (log.f32 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.7b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 1/3 (*.f32 3 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
✓12.1b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
8.8b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
▶12.1b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.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)))
12.2b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1))
0.7b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (*.f32 1/3 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
5.8b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 u2 -98696044010906577398881/5000000000000000000000)))))
25.2b
(*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
13.2b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
3.6b
(pow.f32 (E.f32) (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
6.1b
(/.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
3.1b
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
▶0.5b
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.6b
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
1.6b
(*.f32 (sqrt.f32 (*.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))))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.6b
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
11.9b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log1p.f32 (pow.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 3)) (log.f32 (/.f32 1 (fma.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (-.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1) 1)))))
6.1b
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
19.0b
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 1)
7.9b
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
6.1b
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
4.5b
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 u1 u1 u1) 3/2)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
13.2b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (+.f32 1 (fma.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) -1))))
1.7b
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
✓6.0b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
▶8.9b
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 314159265359/50000000000 u2))
1.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))))
3.3b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
6.1b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
6.1b
(sqrt.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) (/.f32 u1 (-.f32 1 u1))))
6.1b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
0.9b
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)
▶3.4b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
0.8b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)))
4.5b
(*.f32 (hypot.f32 u1 (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))
Compiler

Compiled 1629 to 1312 computations (19.5% saved)

localize73.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(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)

series6.0ms (0%)

Counts
2 → 32
Calls

9 calls:

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

rewrite65.0ms (0.5%)

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))))))

simplify73.0ms (0.5%)

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)))))
(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 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.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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u1
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(+.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))))

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 18 to 8 computations (55.6% saved)

series8.0ms (0.1%)

Counts
2 → 0
Calls

12 calls:

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

rewrite65.0ms (0.5%)

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

localize26.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 27 to 11 computations (59.3% saved)

series4.0ms (0%)

Counts
1 → 20
Calls

6 calls:

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

rewrite62.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
730×pow1_binary32
674×add-log-exp_binary32
674×log1p-expm1-u_binary32
674×expm1-log1p-u_binary32
659×add-exp-log_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0813
116112
2185612
Stop Event
1×node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 314159265359/50000000000 u2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (*.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)) (*.f32 314159265359/50000000000 u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2) (hypot.f32 u1 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (*.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 (*.f32 314159265359/50000000000 u2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.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)) (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 u2))))))))

simplify95.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
740×hypot-def_binary32
610×fma-def_binary32
567×associate-/r/_binary32
515×associate-*l/_binary32
403×associate-+l+_binary32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
036308
191284
2214262
3514246
41167244
53316244
65235244
75976244
87007244
97479244
Stop Event
1×node limit
Counts
33 → 31
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
(+.f32 (*.f32 -314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1))))
(+.f32 (*.f32 314159265359/800000000000 (/.f32 u2 (pow.f32 u1 2))) (+.f32 (*.f32 -314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))))
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1)))
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (+.f32 (*.f32 -314159265359/50000000000 (*.f32 u2 u1)) (*.f32 -314159265359/800000000000 (/.f32 u2 (pow.f32 u1 2))))))
(*.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))
Outputs
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 u2 (*.f32 314159265359/50000000000 u1))
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
(fma.f32 314159265359/100000000000 u2 (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
(fma.f32 314159265359/50000000000 (*.f32 u2 u1) (*.f32 u2 314159265359/100000000000))
(*.f32 u2 (+.f32 (*.f32 314159265359/50000000000 u1) 314159265359/100000000000))
(*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000))
(+.f32 (*.f32 -314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1))))
(fma.f32 -314159265359/400000000000 (/.f32 u2 u1) (fma.f32 314159265359/100000000000 u2 (*.f32 314159265359/50000000000 (*.f32 u2 u1))))
(fma.f32 -314159265359/400000000000 (/.f32 u2 u1) (fma.f32 314159265359/50000000000 (*.f32 u2 u1) (*.f32 u2 314159265359/100000000000)))
(fma.f32 -314159265359/400000000000 (/.f32 u2 u1) (*.f32 u2 (+.f32 (*.f32 314159265359/50000000000 u1) 314159265359/100000000000)))
(fma.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000) (*.f32 u2 (/.f32 -314159265359/400000000000 u1)))
(*.f32 u2 (+.f32 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000) (/.f32 -314159265359/400000000000 u1)))
(*.f32 u2 (+.f32 314159265359/100000000000 (fma.f32 314159265359/50000000000 u1 (/.f32 -314159265359/400000000000 u1))))
(+.f32 (*.f32 314159265359/800000000000 (/.f32 u2 (pow.f32 u1 2))) (+.f32 (*.f32 -314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))))
(fma.f32 314159265359/800000000000 (/.f32 u2 (*.f32 u1 u1)) (fma.f32 -314159265359/400000000000 (/.f32 u2 u1) (fma.f32 314159265359/100000000000 u2 (*.f32 314159265359/50000000000 (*.f32 u2 u1)))))
(fma.f32 314159265359/800000000000 (/.f32 u2 (*.f32 u1 u1)) (fma.f32 -314159265359/400000000000 (/.f32 u2 u1) (fma.f32 314159265359/50000000000 (*.f32 u2 u1) (*.f32 u2 314159265359/100000000000))))
(+.f32 (*.f32 u2 (+.f32 (*.f32 314159265359/50000000000 u1) 314159265359/100000000000)) (*.f32 (/.f32 u2 u1) (+.f32 -314159265359/400000000000 (/.f32 314159265359/800000000000 u1))))
(fma.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000) (*.f32 (/.f32 u2 u1) (+.f32 -314159265359/400000000000 (/.f32 314159265359/800000000000 u1))))
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 (*.f32 u2 u1) -314159265359/50000000000)
(*.f32 u2 (*.f32 u1 -314159265359/50000000000))
(+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1)))
(fma.f32 -314159265359/100000000000 u2 (*.f32 (*.f32 u2 u1) -314159265359/50000000000))
(fma.f32 (*.f32 u2 u1) -314159265359/50000000000 (*.f32 u2 -314159265359/100000000000))
(*.f32 u2 (+.f32 (*.f32 u1 -314159265359/50000000000) -314159265359/100000000000))
(*.f32 u2 (fma.f32 u1 -314159265359/50000000000 -314159265359/100000000000))
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))
(fma.f32 314159265359/400000000000 (/.f32 u2 u1) (fma.f32 -314159265359/100000000000 u2 (*.f32 (*.f32 u2 u1) -314159265359/50000000000)))
(fma.f32 (/.f32 u2 u1) 314159265359/400000000000 (fma.f32 (*.f32 u2 u1) -314159265359/50000000000 (*.f32 u2 -314159265359/100000000000)))
(fma.f32 (/.f32 u2 u1) 314159265359/400000000000 (*.f32 u2 (+.f32 (*.f32 u1 -314159265359/50000000000) -314159265359/100000000000)))
(fma.f32 u2 (fma.f32 u1 -314159265359/50000000000 -314159265359/100000000000) (*.f32 u2 (/.f32 314159265359/400000000000 u1)))
(*.f32 u2 (+.f32 (fma.f32 u1 -314159265359/50000000000 -314159265359/100000000000) (/.f32 314159265359/400000000000 u1)))
(*.f32 u2 (+.f32 -314159265359/100000000000 (fma.f32 u1 -314159265359/50000000000 (/.f32 314159265359/400000000000 u1))))
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (+.f32 (*.f32 -314159265359/50000000000 (*.f32 u2 u1)) (*.f32 -314159265359/800000000000 (/.f32 u2 (pow.f32 u1 2))))))
(fma.f32 314159265359/400000000000 (/.f32 u2 u1) (fma.f32 -314159265359/100000000000 u2 (fma.f32 -314159265359/50000000000 (*.f32 u2 u1) (/.f32 (*.f32 -314159265359/800000000000 u2) (*.f32 u1 u1)))))
(fma.f32 (/.f32 u2 u1) 314159265359/400000000000 (fma.f32 u2 -314159265359/100000000000 (fma.f32 (*.f32 u2 u1) -314159265359/50000000000 (*.f32 (/.f32 -314159265359/800000000000 u1) (/.f32 u2 u1)))))
(+.f32 (*.f32 u2 (+.f32 (*.f32 u1 -314159265359/50000000000) -314159265359/100000000000)) (*.f32 (/.f32 u2 u1) (+.f32 (/.f32 -314159265359/800000000000 u1) 314159265359/400000000000)))
(fma.f32 u2 (fma.f32 u1 -314159265359/50000000000 -314159265359/100000000000) (*.f32 (/.f32 u2 u1) (+.f32 314159265359/400000000000 (/.f32 -314159265359/800000000000 u1))))
(fma.f32 (/.f32 u2 u1) (+.f32 314159265359/400000000000 (/.f32 -314159265359/800000000000 u1)) (*.f32 u2 (fma.f32 u1 -314159265359/50000000000 -314159265359/100000000000)))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 u2 (*.f32 314159265359/50000000000 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 u2 (*.f32 314159265359/50000000000 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 u2 (*.f32 314159265359/50000000000 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 u2 (*.f32 314159265359/50000000000 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 u2 (*.f32 314159265359/50000000000 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 u2 (*.f32 314159265359/50000000000 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 u2 (*.f32 314159265359/50000000000 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 u2 (*.f32 314159265359/50000000000 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 u2 (*.f32 314159265359/50000000000 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 u2 (*.f32 314159265359/50000000000 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 u2 (*.f32 314159265359/50000000000 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 u2 (*.f32 314159265359/50000000000 (hypot.f32 u1 (sqrt.f32 u1))))

localize60.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series7.0ms (0.1%)

Counts
2 → 20
Calls

9 calls:

TimeVariablePointExpression
1.0ms
u1
@0
(*.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
@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))))

rewrite103.0ms (0.7%)

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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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3))) (cbrt.f32 (pow.f32 (exp.f32 -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (cbrt.f32 -31006276680305942139213528068663279/750000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (pow.f32 u2 3) 3) -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 u2 6) 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (pow.f32 u2 3) 3) -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) 1))))))

simplify60.0ms (0.4%)

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))))
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(*.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))))

localize58.0ms (0.4%)

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))) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
✓12.0b
(log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))
Compiler

Compiled 52 to 38 computations (26.9% saved)

series6.0ms (0%)

Counts
2 → 32
Calls

9 calls:

TimeVariablePointExpression
4.0ms
u2
@0
(log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))
0.0ms
u1
@0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
0.0ms
u2
@0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
0.0ms
u1
@-inf
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))

rewrite70.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01323
125023
2302623
Stop Event
1×node limit
Counts
2 → 52
Calls
Call 1
Inputs
(log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sin.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/3 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 2 (*.f32 1/3 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (*.f32 1/3 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 1/3 (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (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 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.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 *.f32 3 (*.f32 1/3 (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/3 (*.f32 3 (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 (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 sqrt.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))))) (#(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 sin.f32 (*.f32 314159265359/50000000000 u2))))) (#(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 +.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 /.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 (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 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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 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 u1 (-.f32 1 u1)))))) 2))))))

simplify65.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
623×associate-/l/_binary32
613×distribute-rgt-out_binary32
542×distribute-lft-in_binary32
475×distribute-rgt-in_binary32
422×fma-def_binary32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
084773
1251726
2777662
33163570
45669560
Stop Event
1×node limit
Counts
84 → 82
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 u2)
(+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.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
(*.f32 314159265359/50000000000 u2)
(+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(fma.f32 314159265359/50000000000 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(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 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 314159265359/50000000000 u2))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (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))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1))) (fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)) (+.f32 -1/2 (/.f32 -3/8 u1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1/2 (+.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (pow.f32 u1 3)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1))) (fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.f32 -1/2 (+.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 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 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1)) (fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (pow.f32 u1 3) (+.f32 1 (+.f32 -1/2 (*.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))))))))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) u1)))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (/.f32 (*.f32 (*.f32 1/2 (sqrt.f32 -1)) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1/2)))
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) u1))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (fma.f32 3/8 (*.f32 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 1/2 (sqrt.f32 -1)) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (+.f32 1/2 (/.f32 3/8 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.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 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) u1)))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (fma.f32 5/16 (*.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (fma.f32 3/8 (*.f32 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 1/2 (sqrt.f32 -1)) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (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 (*.f32 u1 u1) (sqrt.f32 -1))) (+.f32 3/8 (/.f32 5/16 u1)))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.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))) (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 (*.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 (*.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))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.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))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.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 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (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))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (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))))

eval333.0ms (2.4%)

Compiler

Compiled 12566 to 9742 computations (22.5% saved)

prune221.0ms (1.6%)

Pruning

64 alts after pruning (56 fresh and 8 done)

PrunedKeptTotal
New62430654
Fresh162642
Picked011
Done279
Total64264706
Error
0.0b
Counts
706 → 64
Alt Table
Click to see full alt table
StatusErrorProgram
▶15.2b
(*.f32 (sqrt.f32 u1) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
23.0b
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
0.6b
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
6.1b
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
19.0b
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 1)
25.9b
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
6.1b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)))
8.9b
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 u2))
11.1b
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
7.9b
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
9.6b
(*.f32 (sqrt.f32 u1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
30.4b
(*.f32 u2 (*.f32 u1 -314159265359/50000000000))
5.3b
(*.f32 (pow.f32 (pow.f32 (fma.f32 u1 u1 u1) 3/2) 1/3) (sin.f32 (*.f32 314159265359/50000000000 u2)))
25.7b
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
0.6b
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (+.f32 (pow.f32 u1 -2) -1)) (+.f32 1 (/.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
25.5b
(*.f32 (+.f32 u1 1/2) (*.f32 314159265359/50000000000 u2))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
6.0b
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
▶30.4b
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
✓11.1b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
3.1b
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
0.7b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 1/3 (*.f32 3 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
8.3b
(*.f32 (sqrt.f32 (exp.f32 (log.f32 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
8.8b
(sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
✓12.1b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
8.8b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
0.7b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (*.f32 1/3 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
✓12.1b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.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)))
24.2b
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
12.2b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1))
▶25.2b
(*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
13.2b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
3.6b
(pow.f32 (E.f32) (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
25.5b
(*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000))
▶6.1b
(/.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.6b
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
30.4b
(*.f32 (neg.f32 u1) (*.f32 314159265359/50000000000 u2))
25.5b
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
0.8b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)))
8.9b
(*.f32 u2 (*.f32 314159265359/50000000000 (hypot.f32 u1 (sqrt.f32 u1))))
25.9b
(*.f32 u2 (*.f32 314159265359/50000000000 u1))
1.6b
(*.f32 (sqrt.f32 (*.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))))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.6b
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
11.9b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log1p.f32 (pow.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 3)) (log.f32 (/.f32 1 (fma.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (-.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1) 1)))))
6.1b
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
25.9b
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
1.7b
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
11.1b
(sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
4.5b
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
12.2b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1))
27.7b
(*.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) (*.f32 314159265359/50000000000 u2))
6.1b
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
13.2b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (+.f32 1 (fma.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) -1))))
✓6.0b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
3.3b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
27.7b
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))
6.1b
(sqrt.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) (/.f32 u1 (-.f32 1 u1))))
6.1b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
6.1b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
✓3.4b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
0.9b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))
▶0.6b
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
Compiler

Compiled 1785 to 1436 computations (19.6% saved)

localize73.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiled 40 to 31 computations (22.5% saved)

series4.0ms (0%)

Counts
2 → 32
Calls

9 calls:

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

rewrite65.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
534×log-prod_binary32
306×pow2_binary32
292×pow-prod-down_binary32
217×prod-diff_binary32
212×pow1/3_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01224
124824
2302424
Stop Event
1×node limit
Counts
2 → 99
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -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)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 1)))) (#(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))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 1 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2) 1) (/.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1) (/.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))))) (#(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 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (+.f32 (/.f32 1 u1) -1)) 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)))) 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u1) -1)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 u1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 u1 -2) (+.f32 (/.f32 1 u1) 1)) (/.f32 1 (+.f32 (/.f32 1 u1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (/.f32 1 u1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (/.f32 1 u1) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4) (pow.f32 (+.f32 (/.f32 1 u1) -1) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 -1 (pow.f32 u1 -3)) (/.f32 1 (-.f32 (+.f32 (pow.f32 u1 -2) 1) (/.f32 -1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 u1 -2) -1) (/.f32 1 (+.f32 (/.f32 1 u1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3/4) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 u1 -1/2) 1) (-.f32 (pow.f32 u1 -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 5/6) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 (+.f32 (pow.f32 u1 -2) 1) (/.f32 -1 u1)) (+.f32 -1 (pow.f32 u1 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (/.f32 1 u1) 1) (+.f32 (pow.f32 u1 -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 -1 (pow.f32 u1 -3)) (-.f32 (+.f32 (pow.f32 u1 -2) 1) (/.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 -1 (pow.f32 u1 -3)) (+.f32 1 (-.f32 (pow.f32 u1 -2) (/.f32 -1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 u1 -2) -1) (+.f32 (/.f32 1 u1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 -1 (pow.f32 u1 -3))) (neg.f32 (-.f32 (+.f32 (pow.f32 u1 -2) 1) (/.f32 -1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 u1 -2) -1)) (neg.f32 (+.f32 (/.f32 1 u1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (pow.f32 u1 -2)) (-.f32 -1 (/.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (/.f32 1 u1) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 2)))) (#(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 (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) 1/6) 6)))) (#(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 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 (+.f32 (pow.f32 u1 -2) 1) (/.f32 -1 u1)) (+.f32 -1 (pow.f32 u1 -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (+.f32 (/.f32 1 u1) 1) (+.f32 (pow.f32 u1 -2) -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 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (neg.f32 (log.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (*.f32 (log.f32 u1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (*.f32 (neg.f32 (log.f32 u1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 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 (*.f32 3 (log.f32 (+.f32 (/.f32 1 u1) -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (/.f32 1 u1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 1 u1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 -1 (/.f32 -1 u1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 1 (cbrt.f32 u1)) (cbrt.f32 (pow.f32 u1 -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 u1 -2)) (/.f32 1 (cbrt.f32 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 u1 -1/2) (pow.f32 u1 -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 u1) -2) (/.f32 1 (cbrt.f32 u1)) -1)))))

simplify138.0ms (1%)

Algorithm
1×egg-herbie
Rules
584×associate-/l/_binary32
434×fma-def_binary32
388×times-frac_binary32
273×div-sub_binary32
262×associate-/r/_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
083843
1262787
2843703
33805573
46542573
Stop Event
1×node limit
Counts
131 → 122
Calls
Call 1
Inputs
(*.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))))
(*.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 1 u1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
-1
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
-1
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
Outputs
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (*.f32 314159265359/50000000000 u2))
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(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 7 computations (50% saved)

series4.0ms (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
u1
@0
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
1.0ms
u2
@inf
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
0.0ms
u1
@-inf
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))

rewrite54.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11217
213967
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 -314159265359/50000000000 (*.f32 u2 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 -314159265359/50000000000 (*.f32 u2 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 (*.f32 u2 u1) 2) 98696044010906577398881/2500000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 -314159265359/50000000000) (*.f32 u2 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 -314159265359/50000000000 (*.f32 u2 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))))))

simplify6.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize27.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(sin.f32 (*.f32 314159265359/50000000000 u2))
0.3b
(*.f32 314159265359/50000000000 u2)
✓0.3b
(*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Compiler

Compiled 25 to 18 computations (28% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite59.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
934×pow1_binary32
868×add-log-exp_binary32
868×log1p-expm1-u_binary32
868×expm1-log1p-u_binary32
853×add-exp-log_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
119012
2228612
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u1 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 u1 (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1/2) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 1/8 (pow.f32 u1 3)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (fma.f32 u1 u1 (-.f32 1/4 (*.f32 u1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (fma.f32 u1 u1 -1/4) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 u1 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1/8 (pow.f32 u1 3))) (fma.f32 u1 u1 (-.f32 1/4 (*.f32 u1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (fma.f32 u1 u1 -1/4)) (+.f32 u1 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (+.f32 u1 1/2)) (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (+.f32 u1 1/2) 3) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (+.f32 u1 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))))

simplify63.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
780×distribute-rgt-in_binary32
767×associate-+l+_binary32
623×fma-def_binary32
538×associate-+r+_binary32
413×*-commutative_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033451
186349
2272329
3921315
42989315
56860315
Stop Event
1×node limit
Counts
45 → 34
Calls
Call 1
Inputs
(*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.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 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.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 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.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 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1/2 u1) u2))
(+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (+.f32 1/2 u1) (pow.f32 u2 3))) (*.f32 314159265359/50000000000 (*.f32 (+.f32 1/2 u1) u2)))
(+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (+.f32 1/2 u1) (pow.f32 u2 5))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (+.f32 1/2 u1) (pow.f32 u2 3))) (*.f32 314159265359/50000000000 (*.f32 (+.f32 1/2 u1) u2))))
(+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (+.f32 1/2 u1) (pow.f32 u2 5))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (+.f32 1/2 u1) (pow.f32 u2 7))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (+.f32 1/2 u1) (pow.f32 u2 3))) (*.f32 314159265359/50000000000 (*.f32 (+.f32 1/2 u1) u2)))))
(*.f32 (+.f32 1/2 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (+.f32 1/2 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (+.f32 1/2 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (+.f32 1/2 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (+.f32 1/2 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (+.f32 1/2 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (+.f32 1/2 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (+.f32 1/2 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Outputs
(*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.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 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1/2 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 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1/2 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 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1/2 u1))
(*.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 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1/2 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 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1/2 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 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1/2 u1))
(*.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 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1/2 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 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1/2 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 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1/2 u1))
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1/2 u1) u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 1/2 u1)))
(*.f32 u2 (*.f32 314159265359/50000000000 (+.f32 1/2 u1)))
(*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000))
(+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (+.f32 1/2 u1) (pow.f32 u2 3))) (*.f32 314159265359/50000000000 (*.f32 (+.f32 1/2 u1) u2)))
(fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (+.f32 1/2 u1) (pow.f32 u2 3)) (*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 1/2 u1))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (+.f32 1/2 u1)) (*.f32 (pow.f32 u2 3) (+.f32 -31006276680305942139213528068663279/1500000000000000000000000000000000 (*.f32 u1 -31006276680305942139213528068663279/750000000000000000000000000000000))))
(fma.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000) (*.f32 (pow.f32 u2 3) (fma.f32 u1 -31006276680305942139213528068663279/750000000000000000000000000000000 -31006276680305942139213528068663279/1500000000000000000000000000000000)))
(*.f32 (+.f32 1/2 u1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (+.f32 1/2 u1) (pow.f32 u2 5))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (+.f32 1/2 u1) (pow.f32 u2 3))) (*.f32 314159265359/50000000000 (*.f32 (+.f32 1/2 u1) u2))))
(fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (+.f32 1/2 u1) (pow.f32 u2 5)) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (+.f32 1/2 u1) (pow.f32 u2 3)) (*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 1/2 u1)))))
(fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (+.f32 1/2 u1) (pow.f32 u2 5)) (fma.f32 314159265359/50000000000 (*.f32 u2 (+.f32 1/2 u1)) (*.f32 (pow.f32 u2 3) (+.f32 -31006276680305942139213528068663279/1500000000000000000000000000000000 (*.f32 u1 -31006276680305942139213528068663279/750000000000000000000000000000000)))))
(fma.f32 (pow.f32 u2 3) (fma.f32 u1 -31006276680305942139213528068663279/750000000000000000000000000000000 -31006276680305942139213528068663279/1500000000000000000000000000000000) (fma.f32 (pow.f32 u2 5) (fma.f32 u1 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000) (*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000))))
(*.f32 (+.f32 1/2 u1) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 314159265359/50000000000 u2))))
(*.f32 (+.f32 1/2 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 (+.f32 1/2 u1) (pow.f32 u2 5))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (+.f32 1/2 u1) (pow.f32 u2 7))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (+.f32 1/2 u1) (pow.f32 u2 3))) (*.f32 314159265359/50000000000 (*.f32 (+.f32 1/2 u1) u2)))))
(fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (+.f32 1/2 u1) (pow.f32 u2 5)) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (+.f32 1/2 u1) (pow.f32 u2 7)) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (+.f32 1/2 u1) (pow.f32 u2 3)) (*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 1/2 u1))))))
(fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (+.f32 1/2 u1) (pow.f32 u2 5)) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (+.f32 1/2 u1) (pow.f32 u2 7)) (fma.f32 314159265359/50000000000 (*.f32 u2 (+.f32 1/2 u1)) (*.f32 (pow.f32 u2 3) (+.f32 -31006276680305942139213528068663279/1500000000000000000000000000000000 (*.f32 u1 -31006276680305942139213528068663279/750000000000000000000000000000000))))))
(fma.f32 (pow.f32 u2 7) (fma.f32 u1 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000) (fma.f32 (pow.f32 u2 3) (fma.f32 u1 -31006276680305942139213528068663279/750000000000000000000000000000000 -31006276680305942139213528068663279/1500000000000000000000000000000000) (fma.f32 (pow.f32 u2 5) (fma.f32 u1 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000) (*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000)))))
(*.f32 (+.f32 1/2 u1) (+.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 314159265359/50000000000 u2))))
(*.f32 (+.f32 1/2 u1) (+.f32 (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(*.f32 (+.f32 1/2 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1/2 u1))
(*.f32 (+.f32 1/2 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1/2 u1))
(*.f32 (+.f32 1/2 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1/2 u1))
(*.f32 (+.f32 1/2 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1/2 u1))
(*.f32 (+.f32 1/2 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1/2 u1))
(*.f32 (+.f32 1/2 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1/2 u1))
(*.f32 (+.f32 1/2 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1/2 u1))
(*.f32 (+.f32 1/2 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1 (*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1/2 u1))

localize72.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiled 36 to 23 computations (36.1% saved)

series5.0ms (0%)

Counts
3 → 36
Calls

15 calls:

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

rewrite71.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
584×log-prod_binary32
359×pow-prod-down_binary32
288×pow2_binary32
203×pow-unpow_binary32
202×pow1/3_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01132
123230
2301230
Stop Event
1×node limit
Counts
3 → 109
Calls
Call 1
Inputs
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1))
(/.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (-.f32 1 u1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 314159265359/50000000000 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 314159265359/50000000000 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) u2)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 314159265359/50000000000 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 314159265359/50000000000 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) u2))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 314159265359/50000000000 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 314159265359/50000000000 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 314159265359/50000000000 (/.f32 (*.f32 u2 (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> 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314159265359/50000000000 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 314159265359/50000000000 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (*.f32 314159265359/50000000000 u2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) 3) (pow.f32 (-.f32 1 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 314159265359/50000000000 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 314159265359/50000000000 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 314159265359/50000000000 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 314159265359/50000000000 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (*.f32 314159265359/50000000000 u2)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 314159265359/50000000000 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 314159265359/50000000000 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) (*.f32 314159265359/50000000000 u2))) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (-.f32 1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (-.f32 1 u1)) (pow.f32 (-.f32 1 u1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (-.f32 1 u1) 1/6) (cbrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (-.f32 1 u1) 1/4) (pow.f32 (-.f32 1 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))) (sqrt.f32 (+.f32 u1 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (-.f32 1 (pow.f32 u1 3))) (hypot.f32 1 (hypot.f32 u1 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 1 u1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (-.f32 1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 1 u1) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 1 u1) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 1 u1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 1 u1) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 1 u1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (-.f32 1 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f32 1 (sqrt.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log1p.f32 (neg.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3/2 (log1p.f32 (neg.f32 u1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))) 2))))))

simplify86.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
700×unswap-sqr_binary32
588×distribute-rgt-out_binary32
504×associate-/l/_binary32
419×associate-+l+_binary32
372×associate-+r+_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070617
1199610
2626572
32737507
44863507
57683507
Stop Event
1×node limit
Counts
145 → 134
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/100000000000 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 -314159265359/100000000000 (/.f32 (*.f32 u2 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/100000000000 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (*.f32 314159265359/100000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 314159265359/100000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)) (*.f32 942477796077/400000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2)))))
(+.f32 (*.f32 314159265359/160000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3))) (+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 314159265359/100000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1)) (*.f32 942477796077/400000000000 (/.f32 (*.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))))))
1
(+.f32 1 (*.f32 -1/2 u1))
(+.f32 1 (+.f32 (*.f32 -1/8 (pow.f32 u1 2)) (*.f32 -1/2 u1)))
(+.f32 1 (+.f32 (*.f32 -1/8 (pow.f32 u1 2)) (+.f32 (*.f32 -1/16 (pow.f32 u1 3)) (*.f32 -1/2 u1))))
Outputs
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 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 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 (sqrt.f32 -1) u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)))
(*.f32 (sqrt.f32 -1) (*.f32 314159265359/50000000000 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 u2 (sqrt.f32 -1)) (/.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 u1 (sqrt.f32 -1))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)) (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 u1 (sqrt.f32 -1)))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)) (*.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 -314159265359/100000000000 u1)))
(*.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 -314159265359/100000000000 (+.f32 (/.f32 u2 (*.f32 u1 (sqrt.f32 -1))) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sqrt.f32 -1) (/.f32 u2 (*.f32 u1 u1))))) (*.f32 314159265359/50000000000 (*.f32 u2 (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 (/.f32 u2 (sqrt.f32 -1)) u1) (+.f32 -314159265359/100000000000 (/.f32 -942477796077/400000000000 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 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 (/.f32 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 -314159265359/100000000000 (+.f32 (/.f32 u2 (*.f32 u1 (sqrt.f32 -1))) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sqrt.f32 -1) (/.f32 u2 (*.f32 u1 u1))))) (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)) (fma.f32 -314159265359/100000000000 (/.f32 (fma.f32 u2 (*.f32 -1/2 (+.f32 1 (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 u2 (sqrt.f32 -1)) (*.f32 (/.f32 -314159265359/100000000000 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (*.f32 (/.f32 u2 (*.f32 u1 u1)) (+.f32 3/4 (/.f32 5/8 u1))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)) (*.f32 -314159265359/100000000000 (*.f32 (/.f32 (/.f32 u2 (sqrt.f32 -1)) u1) (+.f32 (/.f32 5/8 (*.f32 u1 u1)) (+.f32 1 (/.f32 3/4 u1))))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)))
(*.f32 (sqrt.f32 -1) (*.f32 314159265359/50000000000 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 u2 (sqrt.f32 -1)) (*.f32 314159265359/100000000000 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)) (*.f32 314159265359/100000000000 (*.f32 (/.f32 (sqrt.f32 -1) u1) u2)))
(fma.f32 314159265359/100000000000 (/.f32 u2 (/.f32 u1 (sqrt.f32 -1))) (*.f32 (sqrt.f32 -1) (*.f32 314159265359/50000000000 u2)))
(*.f32 (*.f32 u2 (sqrt.f32 -1)) (+.f32 (/.f32 314159265359/100000000000 u1) 314159265359/50000000000))
(*.f32 (*.f32 u2 (sqrt.f32 -1)) (+.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 u2 (sqrt.f32 -1)) (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 u2 (sqrt.f32 -1)) (fma.f32 314159265359/100000000000 (*.f32 (/.f32 (sqrt.f32 -1) u1) u2) (*.f32 942477796077/400000000000 (*.f32 (/.f32 u2 u1) (/.f32 (sqrt.f32 -1) u1)))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)) (*.f32 (/.f32 u2 (/.f32 u1 (sqrt.f32 -1))) (+.f32 (/.f32 942477796077/400000000000 u1) 314159265359/100000000000)))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)) (*.f32 (/.f32 u2 (/.f32 u1 (sqrt.f32 -1))) (+.f32 314159265359/100000000000 (/.f32 942477796077/400000000000 u1))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)) (*.f32 (/.f32 (*.f32 u2 (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 u2 (sqrt.f32 -1)) (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 u2 (sqrt.f32 -1)) (fma.f32 314159265359/100000000000 (*.f32 (/.f32 (sqrt.f32 -1) u1) u2) (*.f32 942477796077/400000000000 (*.f32 (/.f32 u2 u1) (/.f32 (sqrt.f32 -1) u1))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)) (fma.f32 314159265359/160000000000 (*.f32 u2 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 (/.f32 u2 (/.f32 u1 (sqrt.f32 -1))) (+.f32 (/.f32 942477796077/400000000000 u1) 314159265359/100000000000))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)) (*.f32 (/.f32 u2 (/.f32 u1 (sqrt.f32 -1))) (+.f32 314159265359/100000000000 (+.f32 (/.f32 942477796077/400000000000 u1) (/.f32 314159265359/160000000000 (*.f32 u1 u1))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)) (*.f32 (/.f32 (*.f32 u2 (sqrt.f32 -1)) u1) (+.f32 314159265359/100000000000 (+.f32 (/.f32 942477796077/400000000000 u1) (/.f32 314159265359/160000000000 (*.f32 u1 u1))))))
1
(+.f32 1 (*.f32 -1/2 u1))
(+.f32 1 (*.f32 u1 -1/2))
(fma.f32 u1 -1/2 1)
(+.f32 1 (+.f32 (*.f32 -1/8 (pow.f32 u1 2)) (*.f32 -1/2 u1)))
(+.f32 1 (fma.f32 -1/8 (*.f32 u1 u1) (*.f32 u1 -1/2)))
(+.f32 1 (fma.f32 (*.f32 u1 u1) -1/8 (*.f32 u1 -1/2)))
(fma.f32 u1 -1/2 (fma.f32 u1 (*.f32 u1 -1/8) 1))
(fma.f32 u1 -1/2 (fma.f32 (*.f32 u1 u1) -1/8 1))
(+.f32 1 (+.f32 (*.f32 -1/8 (pow.f32 u1 2)) (+.f32 (*.f32 -1/16 (pow.f32 u1 3)) (*.f32 -1/2 u1))))
(+.f32 1 (fma.f32 -1/8 (*.f32 u1 u1) (fma.f32 -1/16 (pow.f32 u1 3) (*.f32 u1 -1/2))))
(+.f32 1 (fma.f32 (*.f32 u1 u1) -1/8 (fma.f32 u1 -1/2 (*.f32 (pow.f32 u1 3) -1/16))))
(+.f32 1 (fma.f32 (pow.f32 u1 3) -1/16 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 -1/8)))))
(+.f32 1 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 (+.f32 -1/8 (*.f32 u1 -1/16))))))

localize52.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(sin.f32 (*.f32 314159265359/50000000000 u2))
0.3b
(*.f32 314159265359/50000000000 u2)
✓0.4b
(*.f32 (sqrt.f32 u1) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
12.0b
(log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))
Compiler

Compiled 35 to 25 computations (28.6% saved)

series6.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite90.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
772×pow1_binary32
710×add-log-exp_binary32
710×log1p-expm1-u_binary32
710×expm1-log1p-u_binary32
693×add-exp-log_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
118111
2197311
Stop Event
1×node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 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 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 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 u1 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))))

simplify133.0ms (1%)

Algorithm
1×egg-herbie
Rules
1210×fma-def_binary32
690×unswap-sqr_binary32
654×sqr-pow_binary32
594×cube-prod_binary32
429×fabs-mul_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031196
179186
2205170
3661166
41663166
52509166
62712166
73154166
84033166
94176166
104403166
114858166
125454166
136327166
147434166
Stop Event
1×node limit
Counts
25 → 23
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 u1))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 u1))) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 u1)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 u1))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 u1))) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 u1))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
Outputs
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 u1))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)) (*.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 (sqrt.f32 u1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2) 314159265359/50000000000)))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 u1))) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 u1)))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 u1) (pow.f32 u2 3)) (*.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (sqrt.f32 u1))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(*.f32 (sqrt.f32 u1) (+.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(*.f32 (sqrt.f32 u1) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(*.f32 (sqrt.f32 u1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 u1) (fma.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 u1))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 u1))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 u1))) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 u1))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 u1) (pow.f32 u2 3)) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 u1) (pow.f32 u2 5)) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 u1) (pow.f32 u2 7))))))
(+.f32 (*.f32 (sqrt.f32 u1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (*.f32 (sqrt.f32 u1) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(*.f32 (sqrt.f32 u1) (+.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(*.f32 (sqrt.f32 u1) (fma.f32 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2) 314159265359/50000000000) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(*.f32 (sqrt.f32 u1) (fma.f32 314159265359/50000000000 u2 (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7))))))
(*.f32 (sqrt.f32 u1) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 u1) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (fma.f32 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2) 314159265359/50000000000) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))

eval427.0ms (3.1%)

Compiler

Compiled 8779 to 6846 computations (22% saved)

prune221.0ms (1.6%)

Pruning

71 alts after pruning (63 fresh and 8 done)

PrunedKeptTotal
New53533568
Fresh213051
Picked101
Done4812
Total56171632
Error
0.0b
Counts
632 → 71
Alt Table
Click to see full alt table
StatusErrorProgram
7.9b
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 u1)))
6.1b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)))
23.0b
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
0.6b
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
6.1b
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
0.6b
(*.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 1 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
25.9b
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
8.9b
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 u2))
11.1b
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
25.5b
(*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000))
30.4b
(*.f32 u2 (*.f32 u1 -314159265359/50000000000))
5.3b
(*.f32 (pow.f32 (pow.f32 (fma.f32 u1 u1 u1) 3/2) 1/3) (sin.f32 (*.f32 314159265359/50000000000 u2)))
29.9b
(-.f32 (+.f32 1 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))) 1)
25.5b
(*.f32 (+.f32 u1 1/2) (*.f32 314159265359/50000000000 u2))
19.0b
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 1)
15.4b
(*.f32 (sqrt.f32 u1) (-.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))))
✓11.1b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
✓30.4b
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
25.5b
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1/2 u1) u2))
8.1b
(*.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))
6.1b
(/.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
8.3b
(*.f32 (sqrt.f32 (exp.f32 (log.f32 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
6.1b
(*.f32 (*.f32 314159265359/50000000000 u2) (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
8.8b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
0.6b
(pow.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sin.f32 (*.f32 314159265359/50000000000 u2))) -1)
11.1b
(*.f32 (sqrt.f32 u1) (*.f32 314159265359/50000000000 u2))
0.7b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (*.f32 1/3 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
✓12.1b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
24.2b
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
12.2b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1))
13.2b
(/.f32 (+.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)))))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
✓25.2b
(*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
7.4b
(/.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (+.f32 1 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 (+.f32 -1/8 (*.f32 u1 -1/16)))))))
3.6b
(pow.f32 (E.f32) (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
12.2b
(/.f32 (-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
0.6b
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
3.4b
(/.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
7.9b
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
30.4b
(*.f32 (neg.f32 u1) (*.f32 314159265359/50000000000 u2))
25.5b
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
0.6b
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 (pow.f32 u1 -2)) (-.f32 -1 (/.f32 1 u1)))))
0.8b
(*.f32 (/.f32 1 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/6)))
8.9b
(*.f32 u2 (*.f32 314159265359/50000000000 (hypot.f32 u1 (sqrt.f32 u1))))
25.9b
(*.f32 u2 (*.f32 314159265359/50000000000 u1))
1.6b
(*.f32 (sqrt.f32 (*.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))))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.6b
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
12.1b
(/.f32 (log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
25.9b
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
1.2b
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (expm1.f32 (neg.f32 (log.f32 u1)))))
7.9b
(*.f32 (sqrt.f32 u1) (*.f32 3 (*.f32 1/3 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
11.1b
(sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
4.5b
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
25.4b
(*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2)))
27.7b
(*.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) (*.f32 314159265359/50000000000 u2))
1.5b
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/6) 6)))
13.2b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (+.f32 1 (fma.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) -1))))
✓6.0b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
0.6b
(/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
8.5b
(/.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (+.f32 1 (*.f32 -1/2 u1)))
27.7b
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))
6.1b
(sqrt.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) (/.f32 u1 (-.f32 1 u1))))
0.6b
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
✓3.4b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
6.1b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
5.9b
(sqrt.f32 (/.f32 (*.f32 u1 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))) (-.f32 1 u1)))
✓0.6b
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
9.6b
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2) 314159265359/50000000000)))
0.8b
(/.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
9.6b
(*.f32 (sqrt.f32 u1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
6.1b
(+.f32 0 (/.f32 314159265359/50000000000 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) u2)))
Compiler

Compiled 1041 to 849 computations (18.4% saved)

regimes2.3s (16.7%)

Counts
128 → 1
Calls
Call 1
Inputs
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 u1 -314159265359/50000000000))
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 u2 (*.f32 314159265359/50000000000 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 (neg.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.f32 (+.f32 u1 1/2) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1/2 u1) u2))
(*.f32 (+.f32 u1 1/2) (*.f32 314159265359/50000000000 u2))
(-.f32 (+.f32 1 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))) 1)
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
(*.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))
(*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000))
(*.f32 (sqrt.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000))
(*.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))))
(sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
(*.f32 (*.f32 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 (*.f32 314159265359/50000000000 u2) (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(/.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (+.f32 1 (*.f32 -1/2 u1)))
(sqrt.f32 (/.f32 (*.f32 u1 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))) (-.f32 1 u1)))
(+.f32 0 (/.f32 314159265359/50000000000 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) u2)))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
(/.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (+.f32 1 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 (+.f32 -1/8 (*.f32 u1 -1/16)))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 314159265359/50000000000 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 314159265359/50000000000 u2))
(*.f32 (sqrt.f32 u1) (*.f32 3 (*.f32 1/3 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2) 314159265359/50000000000)))
(sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.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 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 (sqrt.f32 u1) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)))
(sqrt.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)))
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 1 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (*.f32 1/3 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 1/3 (*.f32 3 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 1 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 3 (*.f32 1/3 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (*.f32 u2 (+.f32 314159265359/50000000000 (*.f32 u2 -98696044010906577398881/5000000000000000000000)))))
(*.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))) (+.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 314159265359/50000000000 (*.f32 u2 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sin.f32 (*.f32 314159265359/50000000000 u2))) -1)
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))) 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)))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(/.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(*.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 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 (pow.f32 u1 -2)) (-.f32 -1 (/.f32 1 u1)))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (+.f32 (pow.f32 u1 -2) -1)) (+.f32 1 (/.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (/.f32 1 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/6)))
(*.f32 (sqrt.f32 u1) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (exp.f32 (log.f32 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (expm1.f32 (neg.f32 (log.f32 u1)))))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 u1 u1 u1) 3/2)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (pow.f32 (pow.f32 (fma.f32 u1 u1 u1) 3/2) 1/3) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)
(*.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 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 1)
(/.f32 (-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/6) 6)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 4)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(pow.f32 (E.f32) (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 u1) (-.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))))
(/.f32 (+.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)))))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (+.f32 1 (fma.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) -1))))
(*.f32 (sqrt.f32 (*.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))))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log1p.f32 (pow.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 3)) (log.f32 (/.f32 1 (fma.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (-.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1) 1)))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Calls

8 calls:

762.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
293.0ms
cosTheta_i
277.0ms
u2
216.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
211.0ms
u1
Results
ErrorSegmentsBranch
0.5b1cosTheta_i
0.5b1u1
0.5b1u2
0.5b1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.5b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
0.5b1(/.f32 u1 (-.f32 1 u1))
0.5b1(sin.f32 (*.f32 314159265359/50000000000 u2))
0.5b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 1644 to 1220 computations (25.8% saved)

regimes563.0ms (4.1%)

Counts
53 → 1
Calls
Call 1
Inputs
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 u1 -314159265359/50000000000))
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 u2 (*.f32 314159265359/50000000000 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 (neg.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.f32 (+.f32 u1 1/2) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1/2 u1) u2))
(*.f32 (+.f32 u1 1/2) (*.f32 314159265359/50000000000 u2))
(-.f32 (+.f32 1 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))) 1)
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
(*.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))
(*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000))
(*.f32 (sqrt.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000))
(*.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))))
(sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
(*.f32 (*.f32 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 (*.f32 314159265359/50000000000 u2) (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(/.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (+.f32 1 (*.f32 -1/2 u1)))
(sqrt.f32 (/.f32 (*.f32 u1 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))) (-.f32 1 u1)))
(+.f32 0 (/.f32 314159265359/50000000000 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) u2)))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
(/.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (+.f32 1 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 (+.f32 -1/8 (*.f32 u1 -1/16)))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 314159265359/50000000000 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 314159265359/50000000000 u2))
(*.f32 (sqrt.f32 u1) (*.f32 3 (*.f32 1/3 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2) 314159265359/50000000000)))
(sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
Outputs
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
Calls

9 calls:

98.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
90.0ms
(*.f32 314159265359/50000000000 u2)
83.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
65.0ms
(/.f32 u1 (-.f32 1 u1))
53.0ms
u2
Results
ErrorSegmentsBranch
0.6b1cosTheta_i
0.6b1u1
0.6b1u2
0.6b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
0.6b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
0.6b1(/.f32 u1 (-.f32 1 u1))
0.6b1(/.f32 u1 (-.f32 1 u1))
0.6b1(sin.f32 (*.f32 314159265359/50000000000 u2))
0.6b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 539 to 355 computations (34.1% saved)

regimes992.0ms (7.2%)

Counts
51 → 2
Calls
Call 1
Inputs
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 u1 -314159265359/50000000000))
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 u2 (*.f32 314159265359/50000000000 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 (neg.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.f32 (+.f32 u1 1/2) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1/2 u1) u2))
(*.f32 (+.f32 u1 1/2) (*.f32 314159265359/50000000000 u2))
(-.f32 (+.f32 1 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))) 1)
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
(*.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))
(*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000))
(*.f32 (sqrt.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000))
(*.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))))
(sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
(*.f32 (*.f32 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 (*.f32 314159265359/50000000000 u2) (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(/.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (+.f32 1 (*.f32 -1/2 u1)))
(sqrt.f32 (/.f32 (*.f32 u1 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))) (-.f32 1 u1)))
(+.f32 0 (/.f32 314159265359/50000000000 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) u2)))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
(/.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (+.f32 1 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 (+.f32 -1/8 (*.f32 u1 -1/16)))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 314159265359/50000000000 (hypot.f32 u1 (sqrt.f32 u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 314159265359/50000000000 u2))
(*.f32 (sqrt.f32 u1) (*.f32 3 (*.f32 1/3 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2) 314159265359/50000000000)))
(sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
Outputs
(sqrt.f32 (/.f32 (*.f32 u1 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))) (-.f32 1 u1)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Calls

11 calls:

152.0ms
(/.f32 u1 (-.f32 1 u1))
110.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
99.0ms
(*.f32 314159265359/50000000000 u2)
98.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
94.0ms
u1
Results
ErrorSegmentsBranch
5.9b1cosTheta_i
3.8b2u1
3.0b2u2
3.8b2(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
3.8b2(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
3.8b2(/.f32 u1 (-.f32 1 u1))
3.8b2(/.f32 u1 (-.f32 1 u1))
3.9b2(sin.f32 (*.f32 314159265359/50000000000 u2))
3.9b2(sin.f32 (*.f32 314159265359/50000000000 u2))
3.0b2(*.f32 314159265359/50000000000 u2)
3.0b2(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 530 to 350 computations (34% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.013598832301795483
0.015455690212547779
Compiler

Compiled 20 to 16 computations (20% saved)

regimes761.0ms (5.5%)

Counts
38 → 1
Calls
Call 1
Inputs
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 u1 -314159265359/50000000000))
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 u2 (*.f32 314159265359/50000000000 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 (neg.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.f32 (+.f32 u1 1/2) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1/2 u1) u2))
(*.f32 (+.f32 u1 1/2) (*.f32 314159265359/50000000000 u2))
(-.f32 (+.f32 1 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))) 1)
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
(*.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))
(*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000))
(*.f32 (sqrt.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000))
(*.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))))
(sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
(*.f32 (*.f32 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 (*.f32 314159265359/50000000000 u2) (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(/.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (+.f32 1 (*.f32 -1/2 u1)))
(sqrt.f32 (/.f32 (*.f32 u1 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))) (-.f32 1 u1)))
(+.f32 0 (/.f32 314159265359/50000000000 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) u2)))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
(/.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (+.f32 1 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 (+.f32 -1/8 (*.f32 u1 -1/16)))))))
Outputs
(sqrt.f32 (/.f32 (*.f32 u1 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))) (-.f32 1 u1)))
Calls

11 calls:

126.0ms
(*.f32 314159265359/50000000000 u2)
93.0ms
(/.f32 u1 (-.f32 1 u1))
82.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
76.0ms
(/.f32 u1 (-.f32 1 u1))
65.0ms
u1
Results
ErrorSegmentsBranch
5.9b1cosTheta_i
5.9b1u1
5.9b1u2
5.9b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
5.9b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
5.9b1(/.f32 u1 (-.f32 1 u1))
5.9b1(/.f32 u1 (-.f32 1 u1))
5.9b1(sin.f32 (*.f32 314159265359/50000000000 u2))
5.9b1(sin.f32 (*.f32 314159265359/50000000000 u2))
5.9b1(*.f32 314159265359/50000000000 u2)
5.9b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 418 to 292 computations (30.1% saved)

regimes348.0ms (2.5%)

Counts
31 → 1
Calls
Call 1
Inputs
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 u1 -314159265359/50000000000))
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 u2 (*.f32 314159265359/50000000000 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 (neg.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.f32 (+.f32 u1 1/2) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1/2 u1) u2))
(*.f32 (+.f32 u1 1/2) (*.f32 314159265359/50000000000 u2))
(-.f32 (+.f32 1 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))) 1)
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
(*.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))
(*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000))
(*.f32 (sqrt.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000))
(*.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))))
(sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
(*.f32 (*.f32 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 (*.f32 314159265359/50000000000 u2) (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(/.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (+.f32 1 (*.f32 -1/2 u1)))
Outputs
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
Calls

9 calls:

136.0ms
(/.f32 u1 (-.f32 1 u1))
51.0ms
(*.f32 314159265359/50000000000 u2)
49.0ms
(*.f32 314159265359/50000000000 u2)
19.0ms
u2
18.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
Results
ErrorSegmentsBranch
6.0b1cosTheta_i
6.0b1u1
6.0b1u2
6.0b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
6.0b1(/.f32 u1 (-.f32 1 u1))
6.0b1(sin.f32 (*.f32 314159265359/50000000000 u2))
6.0b1(sin.f32 (*.f32 314159265359/50000000000 u2))
6.0b1(*.f32 314159265359/50000000000 u2)
6.0b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 309 to 213 computations (31.1% saved)

regimes225.0ms (1.6%)

Counts
27 → 1
Calls
Call 1
Inputs
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 u1 -314159265359/50000000000))
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 u2 (*.f32 314159265359/50000000000 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 (neg.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.f32 (+.f32 u1 1/2) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1/2 u1) u2))
(*.f32 (+.f32 u1 1/2) (*.f32 314159265359/50000000000 u2))
(-.f32 (+.f32 1 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))) 1)
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
(*.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))
(*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000))
(*.f32 (sqrt.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000))
(*.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))))
(sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
Outputs
(/.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
Calls

10 calls:

55.0ms
(/.f32 u1 (-.f32 1 u1))
42.0ms
u2
17.0ms
(*.f32 314159265359/50000000000 u2)
16.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
15.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
Results
ErrorSegmentsBranch
6.1b1cosTheta_i
6.1b1u1
6.1b1u2
6.1b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
6.1b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
6.1b1(/.f32 u1 (-.f32 1 u1))
6.1b1(/.f32 u1 (-.f32 1 u1))
6.1b1(sin.f32 (*.f32 314159265359/50000000000 u2))
6.1b1(sin.f32 (*.f32 314159265359/50000000000 u2))
6.1b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 275 to 188 computations (31.6% saved)

regimes154.0ms (1.1%)

Counts
22 → 1
Calls
Call 1
Inputs
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 u1 -314159265359/50000000000))
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 u2 (*.f32 314159265359/50000000000 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 (neg.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.f32 (+.f32 u1 1/2) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1/2 u1) u2))
(*.f32 (+.f32 u1 1/2) (*.f32 314159265359/50000000000 u2))
(-.f32 (+.f32 1 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))) 1)
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
(*.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))
(*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000))
(*.f32 (sqrt.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000))
(*.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))))
(sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(*.f32 (+.f32 u1 1/2) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Outputs
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
Calls

7 calls:

28.0ms
u2
28.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
28.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
21.0ms
(*.f32 314159265359/50000000000 u2)
16.0ms
u1
Results
ErrorSegmentsBranch
11.1b1cosTheta_i
11.1b1u1
11.1b1u2
11.1b1(sin.f32 (*.f32 314159265359/50000000000 u2))
11.1b1(sin.f32 (*.f32 314159265359/50000000000 u2))
11.1b1(*.f32 314159265359/50000000000 u2)
11.1b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 197 to 133 computations (32.5% saved)

regimes72.0ms (0.5%)

Counts
19 → 1
Calls
Call 1
Inputs
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 u1 -314159265359/50000000000))
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 u2 (*.f32 314159265359/50000000000 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 (neg.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.f32 (+.f32 u1 1/2) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1/2 u1) u2))
(*.f32 (+.f32 u1 1/2) (*.f32 314159265359/50000000000 u2))
(-.f32 (+.f32 1 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))) 1)
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
(*.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))
(*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000))
(*.f32 (sqrt.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.f32 1/2 (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
Outputs
(*.f32 (sqrt.f32 u1) (*.f32 314159265359/50000000000 u2))
Calls

6 calls:

12.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
12.0ms
u1
11.0ms
(*.f32 314159265359/50000000000 u2)
11.0ms
u2
11.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
Results
ErrorSegmentsBranch
11.1b1cosTheta_i
11.1b1u1
11.1b1u2
11.1b1(sin.f32 (*.f32 314159265359/50000000000 u2))
11.1b1(sin.f32 (*.f32 314159265359/50000000000 u2))
11.1b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 167 to 114 computations (31.7% saved)

regimes46.0ms (0.3%)

Counts
14 → 1
Calls
Call 1
Inputs
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 u1 -314159265359/50000000000))
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 u2 (*.f32 314159265359/50000000000 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 (neg.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.f32 (+.f32 u1 1/2) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1/2 u1) u2))
(*.f32 (+.f32 u1 1/2) (*.f32 314159265359/50000000000 u2))
(-.f32 (+.f32 1 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))) 1)
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
(*.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))
(*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000))
Outputs
(*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000))
Calls

5 calls:

9.0ms
(*.f32 314159265359/50000000000 u2)
9.0ms
(*.f32 314159265359/50000000000 u2)
8.0ms
u1
8.0ms
cosTheta_i
8.0ms
u2
Results
ErrorSegmentsBranch
25.5b1cosTheta_i
25.5b1u1
25.5b1u2
25.5b1(*.f32 314159265359/50000000000 u2)
25.5b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 129 to 87 computations (32.6% saved)

regimes46.0ms (0.3%)

Counts
13 → 1
Calls
Call 1
Inputs
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 u1 -314159265359/50000000000))
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 u2 (*.f32 314159265359/50000000000 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 (neg.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.f32 (+.f32 u1 1/2) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1/2 u1) u2))
(*.f32 (+.f32 u1 1/2) (*.f32 314159265359/50000000000 u2))
(-.f32 (+.f32 1 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))) 1)
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
(*.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))
Outputs
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1/2 u1) u2))
Calls

5 calls:

11.0ms
cosTheta_i
8.0ms
u2
8.0ms
(*.f32 314159265359/50000000000 u2)
7.0ms
(*.f32 314159265359/50000000000 u2)
7.0ms
u1
Results
ErrorSegmentsBranch
25.5b1cosTheta_i
25.5b1u1
25.5b1u2
25.5b1(*.f32 314159265359/50000000000 u2)
25.5b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 123 to 83 computations (32.5% saved)

regimes54.0ms (0.4%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (*.f32 u1 -314159265359/50000000000))
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 u2 (*.f32 314159265359/50000000000 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 (neg.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.f32 (+.f32 u1 1/2) (*.f32 314159265359/50000000000 u2))
Outputs
(*.f32 (+.f32 u1 1/2) (*.f32 314159265359/50000000000 u2))
Calls

4 calls:

33.0ms
u2
9.0ms
cosTheta_i
5.0ms
(*.f32 314159265359/50000000000 u2)
5.0ms
u1
Results
ErrorSegmentsBranch
25.5b1cosTheta_i
25.5b1u1
25.5b1u2
25.5b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes50.0ms (0.4%)

Accuracy

Total -4.8b remaining (-18.3%)

Threshold costs -4.8b (-18.3%)

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

4 calls:

33.0ms
u2
5.0ms
u1
5.0ms
(*.f32 314159265359/50000000000 u2)
5.0ms
cosTheta_i
Results
ErrorSegmentsBranch
25.9b1cosTheta_i
25.9b1u1
25.9b1u2
25.9b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 52 to 35 computations (32.7% saved)

simplify14.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
045176
167176
270176
372176
473176
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.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) 16106127/1073741824) (sqrt.f32 (/.f32 (*.f32 u1 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))) (-.f32 1 u1))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(sqrt.f32 (/.f32 (*.f32 u1 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))) (-.f32 1 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
(*.f32 (sqrt.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000))
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1/2 u1) u2))
(*.f32 (+.f32 u1 1/2) (*.f32 314159265359/50000000000 u2))
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.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) 16106127/1073741824) (sqrt.f32 (/.f32 (*.f32 u1 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))) (-.f32 1 u1))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(if (<=.f32 (*.f32 314159265359/50000000000 u2) 16106127/1073741824) (sqrt.f32 (/.f32 (*.f32 u1 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))) (-.f32 1 u1))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))
(sqrt.f32 (/.f32 (*.f32 u1 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))) (-.f32 1 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) u2))
(/.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
(*.f32 (sqrt.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1))
(*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000))
(*.f32 314159265359/50000000000 (*.f32 (+.f32 1/2 u1) u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 1/2)))
(*.f32 (+.f32 u1 1/2) (*.f32 314159265359/50000000000 u2))
(*.f32 (*.f32 314159265359/50000000000 u2) (+.f32 u1 1/2))
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
Compiler

Compiled 154 to 120 computations (22.1% saved)

soundness0.0ms (0%)

end77.0ms (0.6%)

Compiler

Compiled 121 to 84 computations (30.6% saved)

Profiling

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