Details

Time bar (total: 13.4s)

analyze185.0ms (1.4%)

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

Compiled 37 to 28 computations (24.3% saved)

sample2.3s (17%)

Results
2.3s8256×body256valid
Bogosity

preprocess25.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 17 to 14 computations (17.6% saved)

simplify8.0ms (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)

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite79.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify80.0ms (0.6%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
0103875
1307810
2971739
33681647
46820637
Stop Event
1×node limit
Counts
174 → 181
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 5/16 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (*.f32 3/8 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(*.f32 314159265359/50000000000 u2)
(+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
Outputs
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 -1/2 (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)) (+.f32 -1/2 (/.f32 -3/8 u1))))
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(+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (+.f32 (*.f32 314159265359/50000000000 u2) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 314159265359/50000000000 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(fma.f32 314159265359/50000000000 u2 (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 314159265359/50000000000 u2 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))

eval72.0ms (0.5%)

Compiler

Compiled 3176 to 2490 computations (21.6% saved)

prune54.0ms (0.4%)

Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New15625181
Fresh000
Picked011
Done000
Total15626182
Error
0.0b
Counts
182 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(*.f32 (sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
3.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
3.0b
(exp.f32 (log.f32 (*.f32 (sqrt.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)))
3.6b
(+.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))))))
1.4b
(*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.7b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)))
6.0b
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log1p.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
▶1.1b
(*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
▶6.0b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
14.0b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
4.0b
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
1.8b
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)
7.5b
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
▶1.7b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))
0.9b
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)
3.6b
(*.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))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))
15.0b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.6b
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
12.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
1.5b
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
1.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))))
▶0.5b
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Compiler

Compiled 856 to 689 computations (19.5% saved)

localize69.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiled 72 to 42 computations (41.7% saved)

series12.0ms (0.1%)

Counts
2 → 32
Calls

9 calls:

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

rewrite82.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01442
130724
2417824
Stop Event
1×node limit
Counts
2 → 110
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))
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 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 u1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) 1) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))))) (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 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 1 (*.f32 u1 u1)) (fma.f32 u1 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 u1 1) (/.f32 (-.f32 1 (*.f32 u1 u1)) u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 u1 3)) (*.f32 (/.f32 (-.f32 1 (*.f32 u1 u1)) u1) (-.f32 (fma.f32 u1 u1 1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 u1 u1 -1) (*.f32 (/.f32 (-.f32 1 (*.f32 u1 u1)) u1) (+.f32 u1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (fma.f32 u1 u1 u1)) (neg.f32 (-.f32 1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u1 (+.f32 1 (pow.f32 u1 3))) (*.f32 (-.f32 1 (*.f32 u1 u1)) (-.f32 (fma.f32 u1 u1 1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 u1) (+.f32 1 (pow.f32 u1 3))) (*.f32 (neg.f32 (-.f32 1 (*.f32 u1 u1))) (-.f32 (fma.f32 u1 u1 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(*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (fma.f32 u1 u1 -1) (neg.f32 u1)) (*.f32 (+.f32 u1 -1) (neg.f32 (-.f32 1 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) 3) (pow.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) 3)) (fma.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (-.f32 (pow.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) 2) (*.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1)))) (pow.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) 2)) (-.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))) (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (fma.f32 u1 u1 u1) 1) (-.f32 1 (*.f32 u1 u1)))))) (#(struct:change #<rule 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simplify77.0ms (0.6%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
097979
1290858
2925769
33560665
46815655
Stop Event
1×node limit
Counts
142 → 147
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 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2))))))))
(+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
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 (*.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 (+.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 (*.f32 -1/2 (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 (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 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 (/.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 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 -1/2 (+.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (pow.f32 u1 3)))) (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1)))) (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 (sqrt.f32 -1) u1)) (+.f32 (+.f32 (/.f32 3/4 u1) 1) (/.f32 5/8 (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 1/2 (*.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 (*.f32 1/2 (*.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 (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 (*.f32 1/2 (*.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 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2))))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 1)) (-.f32 1 (*.f32 u1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1))))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 1)) (-.f32 1 (*.f32 u1 u1))))) (*.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 1)) (-.f32 1 (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2))))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 1)) (-.f32 1 (*.f32 u1 u1))))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 1)) (-.f32 1 (*.f32 u1 u1)))) (pow.f32 u2 5)) (*.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 1)) (-.f32 1 (*.f32 u1 u1)))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1))))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))) (+.f32 (*.f32 314159265359/50000000000 u2) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(*.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))))))
(fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 1)) (-.f32 1 (*.f32 u1 u1)))) (pow.f32 u2 7)) (fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 1)) (-.f32 1 (*.f32 u1 u1))))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 1)) (-.f32 1 (*.f32 u1 u1)))) (pow.f32 u2 5)) (*.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 1)) (-.f32 1 (*.f32 u1 u1))))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))) (+.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (*.f32 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (+.f32 (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (*.f32 314159265359/50000000000 u2)) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 1)) (-.f32 1 (*.f32 u1 u1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 1)) (-.f32 1 (*.f32 u1 u1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 1)) (-.f32 1 (*.f32 u1 u1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 1)) (-.f32 1 (*.f32 u1 u1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 1)) (-.f32 1 (*.f32 u1 u1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 1)) (-.f32 1 (*.f32 u1 u1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 1)) (-.f32 1 (*.f32 u1 u1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 1)) (-.f32 1 (*.f32 u1 u1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 3)))
(+.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1)))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (*.f32 u1 u1) (+.f32 (+.f32 u1 (pow.f32 u1 3)) (pow.f32 u1 4)))
(+.f32 (+.f32 u1 (pow.f32 u1 3)) (fma.f32 u1 u1 (pow.f32 u1 4)))
(*.f32 (fma.f32 u1 u1 1) (fma.f32 u1 u1 u1))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(+.f32 -1 (/.f32 -1 u1))
(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 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 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)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(+.f32 -1 (/.f32 -1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 (+.f32 -1 (/.f32 -1 u1)) (/.f32 -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 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 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)))))

localize77.0ms (0.6%)

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

Compiled 39 to 26 computations (33.3% saved)

series9.0ms (0.1%)

Counts
3 → 24
Calls

15 calls:

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

rewrite85.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
121136
2266936
Stop Event
1×node limit
Counts
3 → 96
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) (/.f32 u1 (-.f32 1 u1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))) 2)) (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))))) (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 u1) u2) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u2 (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 2)) (cbrt.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (sqrt.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) 1))))))
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simplify69.0ms (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))))))

localize51.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiled 42 to 28 computations (33.3% saved)

series8.0ms (0.1%)

Counts
3 → 36
Calls

15 calls:

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

rewrite90.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
600×log-prod_binary32
357×pow-prod-down_binary32
310×pow2_binary32
303×prod-diff_binary32
217×pow1/3_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01236
124936
2314536
Stop Event
1×node limit
Counts
3 → 96
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (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 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))) (log.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) 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*.f32 (/.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (pow.f32 (-.f32 1 u1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (-.f32 1 u1) -1/4) (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 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(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) 3) (pow.f32 (-.f32 1 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (sin.f32 (*.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 (pow.f32 (-.f32 1 u1) 1/6) (cbrt.f32 (-.f32 1 u1)))))) (#(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) 1/4) (pow.f32 (-.f32 1 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 1 u1)))))) (#(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) 3/2) 1/3)))) (#(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) 1/6) 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) 1/4) 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))))))

simplify107.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
661×distribute-rgt-out_binary32
626×associate-/l/_binary32
577×fma-def_binary32
512×distribute-rgt-in_binary32
371×associate-/r/_binary32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0104906
1305855
2942768
33785675
46512665
Stop Event
1×node limit
Counts
132 → 136
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))
(*.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))))
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 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 u1)))
(+.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 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 u1) (pow.f32 u2 3))))
(*.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 (*.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 (*.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) (+.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 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)))
(*.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 u1 (sqrt.f32 -1)))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 -1/2 u1)))
(*.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 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 u1 (sqrt.f32 -1))))))
(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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.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 -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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 (sqrt.f32 -1))) (+.f32 -1/2 (/.f32 -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 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 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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.f32 -1/2 (+.f32 (/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (fma.f32 -1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1)))) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (pow.f32 u1 3) (+.f32 1 (+.f32 -1/2 (*.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)))))))))
(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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) 1/2)) u1))
(*.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 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 3/8 (/.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))))))
(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 (/.f32 1/2 u1) 1) (/.f32 3/8 (*.f32 u1 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)))))
(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 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 3/8 (/.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))))))
(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 3/8 u1) (/.f32 5/16 (*.f32 u1 u1))))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (*.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 (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))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7))) (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))))
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 (*.f32 u1 -1/8) (fma.f32 u1 -1/2 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 (pow.f32 u1 3) -1/16 (*.f32 u1 -1/2))))
(+.f32 1 (fma.f32 u1 -1/2 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u1 -1/16) -1/8))))
(+.f32 1 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 (+.f32 -1/8 (*.f32 u1 -1/16))))))

localize117.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

Compiled 56 to 40 computations (28.6% saved)

series3.0ms (0%)

Counts
2 → 32
Calls

9 calls:

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

rewrite71.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify75.0ms (0.6%)

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))))

localize63.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiled 55 to 41 computations (25.5% saved)

series5.0ms (0%)

Counts
2 → 28
Calls

9 calls:

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

rewrite65.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01423
129323
2324823
Stop Event
1×node limit
Counts
2 → 41
Calls
Call 1
Inputs
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))
Outputs
((#(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 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1)))) (#(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 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 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1/4) (sqrt.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3/2)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1/6))))) (#(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 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 +.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))))))

simplify67.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
624×associate-/l/_binary32
619×distribute-rgt-out_binary32
542×distribute-lft-in_binary32
500×associate-+l+_binary32
472×distribute-rgt-in_binary32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
077715
1233676
2728608
33036516
45590506
Stop Event
1×node limit
Counts
69 → 64
Calls
Call 1
Inputs
(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
(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 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (*.f32 u1 u1) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))) (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 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (*.f32 u1 u1) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))) (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 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (sqrt.f32 -1)) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.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 (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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1)) (+.f32 (/.f32 5/8 u1) 3/4)) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 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 (/.f32 3/4 u1) 1) (/.f32 5/8 (*.f32 u1 u1))))))
(*.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 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))))
(*.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 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (fma.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 3/8 (*.f32 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(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 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (*.f32 314159265359/50000000000 u2))))))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (fma.f32 5/16 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 3/8 (*.f32 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
(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 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1)) (sqrt.f32 -1)) (+.f32 (/.f32 5/16 u1) 3/8))))
(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))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (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 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))) (fma.f32 314159265359/50000000000 u2 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

eval516.0ms (3.8%)

Compiler

Compiled 18724 to 13998 computations (25.2% saved)

prune283.0ms (2.1%)

Pruning

48 alts after pruning (43 fresh and 5 done)

PrunedKeptTotal
New93234966
Fresh11920
Picked101
Done055
Total94448992
Error
0.0b
Counts
992 → 48
Alt Table
Click to see full alt table
StatusErrorProgram
7.9b
(*.f32 (sqrt.f32 (exp.f32 (log.f32 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)))
6.3b
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))) 3)
1.4b
(*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
6.0b
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
6.0b
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (*.f32 314159265359/50000000000 u2))
1.8b
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))
3.5b
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))
✓1.1b
(*.f32 (sqrt.f32 (exp.f32 (log.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))))
✓6.0b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
15.0b
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000)))) (sqrt.f32 (-.f32 1 u1)))
1.6b
(sqrt.f32 (/.f32 (*.f32 u1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 1 u1)))
6.1b
(/.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (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)))
▶8.4b
(*.f32 (sqrt.f32 u1) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))
6.1b
(/.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
6.0b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
6.1b
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
0.6b
(*.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) 1/6)))
▶11.0b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
12.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
7.1b
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))))
0.6b
(*.f32 (sqrt.f32 u1) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) -1/2)))
14.0b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
0.7b
(pow.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 u1)) -1)
▶8.3b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
1.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))))
0.6b
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
6.1b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
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))))))
1.8b
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)
▶0.5b
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
7.5b
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
3.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
3.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
0.6b
(*.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))))
6.5b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)))
0.8b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))
✓0.5b
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
6.0b
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
15.0b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))
3.6b
(+.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))))))
6.0b
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
6.1b
(sqrt.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) (/.f32 u1 (-.f32 1 u1))))
Compiler

Compiled 1474 to 1183 computations (19.7% saved)

localize66.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(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 u1 1) (-.f32 (/.f32 1 u1) u1))))
✓0.4b
(/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))
Compiler

Compiled 59 to 41 computations (30.5% saved)

series10.0ms (0.1%)

Counts
2 → 32
Calls

9 calls:

TimeVariablePointExpression
4.0ms
u2
@0
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
1.0ms
u2
@inf
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
1.0ms
u1
@-inf
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
1.0ms
u2
@-inf
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
0.0ms
u1
@0
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))

rewrite75.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
657×log-prod_binary32
581×prod-diff_binary32
293×fma-def_binary32
243×log1p-udef_binary32
242×expm1-udef_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01336
128436
2382336
Stop Event
1×node limit
Counts
2 → 64
Calls
Call 1
Inputs
(/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))) (cbrt.f32 (exp.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 u1 1) (/.f32 1 (-.f32 (/.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (pow.f32 (cbrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) 2) (cbrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 u1 1)) 2) (*.f32 (cbrt.f32 (+.f32 u1 1)) (/.f32 1 (-.f32 (/.f32 1 u1) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)) 1/4) (*.f32 (pow.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)) 1/4) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 u1 1)) (*.f32 (sqrt.f32 (+.f32 u1 1)) (/.f32 1 (-.f32 (/.f32 1 u1) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 -1 u1 -1) (/.f32 1 (neg.f32 (-.f32 (/.f32 1 u1) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 (/.f32 1 u1) u1)) (+.f32 u1 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)) 1/4) 3) (pow.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 u1 1)) 2) 1) (/.f32 (cbrt.f32 (+.f32 u1 1)) (-.f32 (/.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (+.f32 u1 1)) 1) (/.f32 (sqrt.f32 (+.f32 u1 1)) (-.f32 (/.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2))) (/.f32 (+.f32 u1 1) (cbrt.f32 (-.f32 (/.f32 1 u1) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 u1 1)) 2) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2))) (cbrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (+.f32 u1 1)) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2))) (/.f32 (sqrt.f32 (+.f32 u1 1)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) u1))) (/.f32 (+.f32 u1 1) (sqrt.f32 (-.f32 (/.f32 1 u1) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 u1 1)) 2) (sqrt.f32 (-.f32 (/.f32 1 u1) u1))) (/.f32 (cbrt.f32 (+.f32 u1 1)) (sqrt.f32 (-.f32 (/.f32 1 u1) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 u1 1) (-.f32 (pow.f32 u1 -3) (pow.f32 u1 3))) (+.f32 (pow.f32 u1 -2) (fma.f32 u1 u1 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 u1 1) (-.f32 (pow.f32 u1 -2) (*.f32 u1 u1))) (+.f32 u1 (/.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (cbrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))) (cbrt.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 (/.f32 1 u1) u1) (+.f32 u1 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (/.f32 (-.f32 (/.f32 1 u1) u1) (+.f32 u1 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (+.f32 u1 1) (neg.f32 (-.f32 (/.f32 1 u1) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (+.f32 u1 1) 3) (pow.f32 (-.f32 (/.f32 1 u1) u1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 (/.f32 1 u1) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 (/.f32 1 u1) u1))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))) (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) 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 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (+.f32 u1 1)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 1))) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) 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 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) 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 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) 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 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))) 1))))))

simplify83.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
591×associate-/l/_binary32
502×fma-def_binary32
388×times-frac_binary32
324×fma-neg_binary32
262×associate-/r/_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0102978
1320892
21049795
34343665
47701665
Stop Event
1×node limit
Counts
96 → 98
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 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1)))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) 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 (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)))))))
Outputs
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 3)))
(+.f32 u1 (fma.f32 u1 u1 (pow.f32 u1 3)))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (*.f32 u1 u1) (+.f32 (+.f32 u1 (pow.f32 u1 3)) (pow.f32 u1 4)))
(+.f32 (+.f32 u1 (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 (/.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)))))
(neg.f32 (+.f32 (+.f32 1 (/.f32 1 (*.f32 u1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (+.f32 (+.f32 -1 (/.f32 -1 u1)) (/.f32 (/.f32 -1 u1) u1)) (/.f32 1 (pow.f32 u1 3)))
(+.f32 (+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 (/.f32 -1 u1) u1))) (/.f32 -1 (pow.f32 u1 3)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(-.f32 -1 (/.f32 1 u1))
(+.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)))))
(neg.f32 (+.f32 (+.f32 1 (/.f32 1 (*.f32 u1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (+.f32 (+.f32 -1 (/.f32 -1 u1)) (/.f32 (/.f32 -1 u1) u1)) (/.f32 1 (pow.f32 u1 3)))
(+.f32 (+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 (/.f32 -1 u1) u1))) (/.f32 -1 (pow.f32 u1 3)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))))
(*.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))) (*.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))))
(*.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1)))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (pow.f32 u2 5)) (*.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))) (*.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(*.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) 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 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (pow.f32 u2 5)) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (pow.f32 u2 7)) (*.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))) (*.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(*.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (+.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7))) (fma.f32 314159265359/50000000000 u2 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (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 u1 (sqrt.f32 -1)))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.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 (/.f32 -1/2 (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 u1 (sqrt.f32 -1))))))
(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 u1 (sqrt.f32 -1))))))
(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 (+.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 (/.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 (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 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 (fma.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) (pow.f32 u1 3)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1))) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 (sqrt.f32 -1)))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (/.f32 -1/2 u1) (+.f32 (/.f32 -5/16 (pow.f32 u1 3)) (/.f32 -3/8 (*.f32 u1 u1))))))
(*.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 u1 (sqrt.f32 -1)))))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.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 (/.f32 -1/2 (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))))))
(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 -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 u1 (sqrt.f32 -1))))))
(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 (+.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 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 (sqrt.f32 -1))) (+.f32 -1/2 (/.f32 -3/8 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 (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (-.f32 1 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1/2 (+.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 (sqrt.f32 -1))) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (pow.f32 u1 3)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (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 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 (fma.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) (pow.f32 u1 3)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1))) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 u1 (sqrt.f32 -1)))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))
(fma.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (/.f32 -1/2 u1) (+.f32 (/.f32 -5/16 (pow.f32 u1 3)) (/.f32 -3/8 (*.f32 u1 u1))))))

localize19.0ms (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)

series9.0ms (0.1%)

Counts
2 → 0
Calls

12 calls:

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

rewrite63.0ms (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

localize70.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiled 31 to 9 computations (71% saved)

series8.0ms (0.1%)

Counts
3 → 48
Calls

15 calls:

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

rewrite74.0ms (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
0830
116127
2185527
Stop Event
1×node limit
Counts
3 → 45
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1)))
(sqrt.f32 (fma.f32 u1 u1 u1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (fma.f32 u1 u1 u1) (*.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (*.f32 314159265359/50000000000 u2)) (hypot.f32 u1 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (*.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (hypot.f32 u1 (sqrt.f32 u1))) u2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (fma.f32 u1 u1 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (fma.f32 u1 u1 u1) 3/2) (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (hypot.f32 u1 (sqrt.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (hypot.f32 u1 (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (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))))))))

simplify66.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
737×fma-def_binary32
520×times-frac_binary32
451×associate-/r*_binary32
383×associate-/l/_binary32
363×associate-/l*_binary32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
077637
1220586
2533537
31274515
43171512
Stop Event
1×node limit
Counts
93 → 96
Calls
Call 1
Inputs
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(+.f32 (*.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 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)
(*.f32 u2 u1)
(+.f32 (*.f32 1/2 u2) (*.f32 u2 u1))
(+.f32 (*.f32 1/2 u2) (+.f32 (*.f32 -1/8 (/.f32 u2 u1)) (*.f32 u2 u1)))
(+.f32 (*.f32 1/2 u2) (+.f32 (*.f32 -1/8 (/.f32 u2 u1)) (+.f32 (*.f32 u2 u1) (*.f32 1/16 (/.f32 u2 (pow.f32 u1 2))))))
(*.f32 -1 (*.f32 u2 u1))
(+.f32 (*.f32 -1/2 u2) (*.f32 -1 (*.f32 u2 u1)))
(+.f32 (*.f32 1/8 (/.f32 u2 u1)) (+.f32 (*.f32 -1/2 u2) (*.f32 -1 (*.f32 u2 u1))))
(+.f32 (*.f32 1/8 (/.f32 u2 u1)) (+.f32 (*.f32 -1/2 u2) (+.f32 (*.f32 -1/16 (/.f32 u2 (pow.f32 u1 2))) (*.f32 -1 (*.f32 u2 u1)))))
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 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 314159265359/50000000000 (*.f32 u1 u2))
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
(fma.f32 314159265359/100000000000 u2 (*.f32 314159265359/50000000000 (*.f32 u1 u2)))
(fma.f32 314159265359/50000000000 (*.f32 u1 u2) (*.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 u1 u2))))
(fma.f32 -314159265359/400000000000 (/.f32 u2 u1) (fma.f32 314159265359/50000000000 (*.f32 u1 u2) (*.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 u1 -314159265359/400000000000)))
(*.f32 u2 (+.f32 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000) (/.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 u1 u2)))))
(fma.f32 314159265359/800000000000 (/.f32 u2 (*.f32 u1 u1)) (fma.f32 -314159265359/400000000000 (/.f32 u2 u1) (fma.f32 314159265359/50000000000 (*.f32 u1 u2) (*.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 (/.f32 u2 u1) (+.f32 -314159265359/400000000000 (/.f32 314159265359/800000000000 u1)) (*.f32 u2 (fma.f32 314159265359/50000000000 u1 314159265359/100000000000)))
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 (*.f32 u1 u2) -314159265359/50000000000)
(*.f32 u1 (*.f32 u2 -314159265359/50000000000))
(+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1)))
(fma.f32 -314159265359/100000000000 u2 (*.f32 (*.f32 u1 u2) -314159265359/50000000000))
(fma.f32 u2 -314159265359/100000000000 (*.f32 (*.f32 u1 u2) -314159265359/50000000000))
(*.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 u1 u2) -314159265359/50000000000)))
(fma.f32 (/.f32 u2 u1) 314159265359/400000000000 (fma.f32 u2 -314159265359/100000000000 (*.f32 (*.f32 u1 u2) -314159265359/50000000000)))
(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 u1 314159265359/400000000000)))
(*.f32 u2 (+.f32 (fma.f32 u1 -314159265359/50000000000 -314159265359/100000000000) (/.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 u1 u2) (/.f32 (*.f32 -314159265359/800000000000 u2) (*.f32 u1 u1)))))
(fma.f32 (/.f32 u2 u1) 314159265359/400000000000 (fma.f32 u2 -314159265359/100000000000 (fma.f32 (*.f32 u1 u2) -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 (/.f32 u2 u1) (+.f32 314159265359/400000000000 (/.f32 -314159265359/800000000000 u1)) (*.f32 u2 (fma.f32 u1 -314159265359/50000000000 -314159265359/100000000000)))
(fma.f32 u2 (fma.f32 u1 -314159265359/50000000000 -314159265359/100000000000) (*.f32 (/.f32 u2 u1) (+.f32 314159265359/400000000000 (/.f32 -314159265359/800000000000 u1))))
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)
(*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2)
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2)
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2)
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)
(*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2)
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2)
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2)
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)
(*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2)
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2)
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2)
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)
(*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2)
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2)
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2)
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)
(*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2)
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2)
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2)
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)
(*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2)
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2)
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2)
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)
(*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2)
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2)
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2)
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)
(*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2)
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2)
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2)
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)
(*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2)
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2)
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2)
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)
(*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2)
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2)
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2)
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)
(*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2)
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2)
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2)
(*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)
(*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) u2)
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) u2)
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2)
(*.f32 u2 u1)
(*.f32 u1 u2)
(+.f32 (*.f32 1/2 u2) (*.f32 u2 u1))
(fma.f32 1/2 u2 (*.f32 u1 u2))
(*.f32 u2 (+.f32 u1 1/2))
(+.f32 (*.f32 1/2 u2) (+.f32 (*.f32 -1/8 (/.f32 u2 u1)) (*.f32 u2 u1)))
(fma.f32 1/2 u2 (fma.f32 -1/8 (/.f32 u2 u1) (*.f32 u1 u2)))
(fma.f32 u2 1/2 (fma.f32 (/.f32 u2 u1) -1/8 (*.f32 u1 u2)))
(fma.f32 (/.f32 u2 u1) -1/8 (*.f32 u2 (+.f32 u1 1/2)))
(*.f32 u2 (+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1))))
(+.f32 (*.f32 1/2 u2) (+.f32 (*.f32 -1/8 (/.f32 u2 u1)) (+.f32 (*.f32 u2 u1) (*.f32 1/16 (/.f32 u2 (pow.f32 u1 2))))))
(fma.f32 1/2 u2 (fma.f32 -1/8 (/.f32 u2 u1) (fma.f32 u2 u1 (/.f32 (*.f32 1/16 u2) (*.f32 u1 u1)))))
(fma.f32 u2 1/2 (fma.f32 (/.f32 u2 u1) -1/8 (fma.f32 u1 u2 (/.f32 (*.f32 u2 1/16) (*.f32 u1 u1)))))
(fma.f32 u2 1/2 (fma.f32 u1 u2 (*.f32 (/.f32 u2 u1) (+.f32 -1/8 (/.f32 1/16 u1)))))
(fma.f32 (/.f32 u2 u1) (+.f32 -1/8 (/.f32 1/16 u1)) (*.f32 u2 (+.f32 u1 1/2)))
(*.f32 -1 (*.f32 u2 u1))
(neg.f32 (*.f32 u1 u2))
(*.f32 u2 (neg.f32 u1))
(*.f32 u1 (neg.f32 u2))
(+.f32 (*.f32 -1/2 u2) (*.f32 -1 (*.f32 u2 u1)))
(fma.f32 -1/2 u2 (neg.f32 (*.f32 u1 u2)))
(-.f32 (*.f32 u2 -1/2) (*.f32 u1 u2))
(*.f32 u2 (-.f32 -1/2 u1))
(+.f32 (*.f32 1/8 (/.f32 u2 u1)) (+.f32 (*.f32 -1/2 u2) (*.f32 -1 (*.f32 u2 u1))))
(fma.f32 1/8 (/.f32 u2 u1) (fma.f32 -1/2 u2 (neg.f32 (*.f32 u1 u2))))
(-.f32 (fma.f32 (/.f32 u2 u1) 1/8 (*.f32 u2 -1/2)) (*.f32 u1 u2))
(fma.f32 (/.f32 u2 u1) 1/8 (*.f32 u2 (-.f32 -1/2 u1)))
(fma.f32 u2 (-.f32 -1/2 u1) (*.f32 u2 (/.f32 1/8 u1)))
(*.f32 u2 (-.f32 -1/2 (-.f32 u1 (/.f32 1/8 u1))))
(+.f32 (*.f32 1/8 (/.f32 u2 u1)) (+.f32 (*.f32 -1/2 u2) (+.f32 (*.f32 -1/16 (/.f32 u2 (pow.f32 u1 2))) (*.f32 -1 (*.f32 u2 u1)))))
(fma.f32 1/8 (/.f32 u2 u1) (fma.f32 -1/2 u2 (fma.f32 -1/16 (/.f32 u2 (*.f32 u1 u1)) (neg.f32 (*.f32 u1 u2)))))
(fma.f32 (/.f32 u2 u1) 1/8 (fma.f32 u2 -1/2 (fma.f32 (/.f32 u2 (*.f32 u1 u1)) -1/16 (*.f32 u2 (neg.f32 u1)))))
(fma.f32 (/.f32 u2 u1) 1/8 (fma.f32 (/.f32 (/.f32 u2 u1) u1) -1/16 (*.f32 u2 (-.f32 -1/2 u1))))
(fma.f32 u2 (-.f32 -1/2 u1) (*.f32 (/.f32 u2 u1) (+.f32 (/.f32 -1/16 u1) 1/8)))
u1
(+.f32 1/2 u1)
(+.f32 u1 1/2)
(-.f32 (+.f32 1/2 u1) (*.f32 1/8 (/.f32 1 u1)))
(-.f32 (+.f32 u1 1/2) (/.f32 1/8 u1))
(+.f32 (+.f32 u1 1/2) (/.f32 -1/8 u1))
(-.f32 u1 (+.f32 -1/2 (/.f32 1/8 u1)))
(+.f32 u1 (-.f32 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 u1 (-.f32 (/.f32 1/16 (*.f32 u1 u1)) (/.f32 1/8 u1))))
(+.f32 u1 (-.f32 (+.f32 1/2 (/.f32 1/16 (*.f32 u1 u1))) (/.f32 1/8 u1)))
(+.f32 (+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1))) (/.f32 1/16 (*.f32 u1 u1)))
(+.f32 u1 (-.f32 (-.f32 1/2 (/.f32 1/8 u1)) (/.f32 -1/16 (*.f32 u1 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 -1/2 (-.f32 u1 (/.f32 1/8 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 (fma.f32 -1 u1 (/.f32 1/8 u1)) (+.f32 1/2 (/.f32 1/16 (*.f32 u1 u1))))
(+.f32 (-.f32 (/.f32 1/8 u1) u1) (-.f32 -1/2 (/.f32 1/16 (*.f32 u1 u1))))
(+.f32 -1/2 (+.f32 (-.f32 (/.f32 1/8 u1) u1) (/.f32 -1/16 (*.f32 u1 u1))))
(+.f32 (/.f32 1/8 u1) (+.f32 (-.f32 -1/2 u1) (/.f32 -1/16 (*.f32 u1 u1))))
(+.f32 (-.f32 -1/2 (-.f32 u1 (/.f32 1/8 u1))) (/.f32 -1/16 (*.f32 u1 u1)))

localize86.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f32 u2 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
✓0.3b
(*.f32 314159265359/50000000000 (*.f32 u2 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
✓0.4b
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
✓0.7b
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)
Compiler

Compiled 77 to 54 computations (29.9% saved)

series20.0ms (0.2%)

Counts
4 → 60
Calls

18 calls:

TimeVariablePointExpression
5.0ms
u1
@-inf
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
2.0ms
u1
@-inf
(*.f32 314159265359/50000000000 (*.f32 u2 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
2.0ms
u1
@0
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)
1.0ms
u1
@inf
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)
1.0ms
u1
@-inf
(*.f32 u2 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))

rewrite98.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
619×log-prod_binary32
397×pow-prod-down_binary32
325×pow2_binary32
286×pow-unpow_binary32
223×pow1/3_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01382
127846
2346846
Stop Event
1×node limit
Counts
4 → 87
Calls
Call 1
Inputs
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 u2 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/18) (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/18) 4)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 u1 1/6) (pow.f32 (-.f32 1 u1) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 u1 1/6) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 1/6 (log.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 1/6 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 u1) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) (cbrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 u1)) (cbrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/18) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))))))
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simplify116.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
803×fma-def_binary32
623×times-frac_binary32
601×associate-*l*_binary32
524×associate-*r*_binary32
405×associate-/l*_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01451546
14511495
215551394
373531381
Stop Event
1×node limit
Counts
147 → 149
Calls
Call 1
Inputs
(pow.f32 u1 1/6)
(+.f32 (*.f32 1/6 (pow.f32 (*.f32 1 (pow.f32 u1 7)) 1/6)) (pow.f32 u1 1/6))
(+.f32 (*.f32 1/6 (pow.f32 (*.f32 1 (pow.f32 u1 7)) 1/6)) (+.f32 (*.f32 7/72 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (pow.f32 u1 1/6)))
(+.f32 (*.f32 91/1296 (pow.f32 (*.f32 1 (pow.f32 u1 19)) 1/6)) (+.f32 (*.f32 1/6 (pow.f32 (*.f32 1 (pow.f32 u1 7)) 1/6)) (+.f32 (*.f32 7/72 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (pow.f32 u1 1/6))))
(pow.f32 -1 1/6)
(+.f32 (*.f32 1/6 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6))
(+.f32 (*.f32 7/72 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (*.f32 1/6 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6)))
(+.f32 (*.f32 7/72 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (*.f32 1/6 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (+.f32 (*.f32 91/1296 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3)))) (pow.f32 -1 1/6))))
(pow.f32 -1 1/6)
(+.f32 (*.f32 1/6 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6))
(+.f32 (*.f32 7/72 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (*.f32 1/6 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6)))
(+.f32 (*.f32 7/72 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (*.f32 1/6 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (+.f32 (*.f32 91/1296 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3)))) (pow.f32 -1 1/6))))
(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))))
(*.f32 (pow.f32 -1 1/6) (cbrt.f32 -1))
(+.f32 (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) u1))) (*.f32 (pow.f32 -1 1/6) (cbrt.f32 -1)))
(+.f32 (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) u1))) (+.f32 (*.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) (pow.f32 u1 2)))) (*.f32 (pow.f32 -1 1/6) (cbrt.f32 -1))))
(+.f32 (*.f32 5/16 (*.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) u1))) (+.f32 (*.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) (pow.f32 u1 2)))) (*.f32 (pow.f32 -1 1/6) (cbrt.f32 -1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/100000000000 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (*.f32 -314159265359/100000000000 (/.f32 (*.f32 u2 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/100000000000 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(*.f32 314159265359/50000000000 (*.f32 (pow.f32 -1 1/6) (*.f32 u2 (cbrt.f32 -1))))
(+.f32 (*.f32 314159265359/100000000000 (*.f32 (pow.f32 -1 1/6) (/.f32 (*.f32 u2 (cbrt.f32 -1)) u1))) (*.f32 314159265359/50000000000 (*.f32 (pow.f32 -1 1/6) (*.f32 u2 (cbrt.f32 -1)))))
(+.f32 (*.f32 942477796077/400000000000 (*.f32 (pow.f32 -1 1/6) (/.f32 (*.f32 u2 (cbrt.f32 -1)) (pow.f32 u1 2)))) (+.f32 (*.f32 314159265359/100000000000 (*.f32 (pow.f32 -1 1/6) (/.f32 (*.f32 u2 (cbrt.f32 -1)) u1))) (*.f32 314159265359/50000000000 (*.f32 (pow.f32 -1 1/6) (*.f32 u2 (cbrt.f32 -1))))))
(+.f32 (*.f32 942477796077/400000000000 (*.f32 (pow.f32 -1 1/6) (/.f32 (*.f32 u2 (cbrt.f32 -1)) (pow.f32 u1 2)))) (+.f32 (*.f32 314159265359/100000000000 (*.f32 (pow.f32 -1 1/6) (/.f32 (*.f32 u2 (cbrt.f32 -1)) u1))) (+.f32 (*.f32 314159265359/160000000000 (*.f32 (pow.f32 -1 1/6) (/.f32 (*.f32 u2 (cbrt.f32 -1)) (pow.f32 u1 3)))) (*.f32 314159265359/50000000000 (*.f32 (pow.f32 -1 1/6) (*.f32 u2 (cbrt.f32 -1)))))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 -1) u2)
(+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2)))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 u2 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 (sqrt.f32 -1) u2))))
(*.f32 (pow.f32 -1 1/6) (*.f32 u2 (cbrt.f32 -1)))
(+.f32 (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 (*.f32 u2 (cbrt.f32 -1)) u1))) (*.f32 (pow.f32 -1 1/6) (*.f32 u2 (cbrt.f32 -1))))
(+.f32 (*.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 (*.f32 u2 (cbrt.f32 -1)) (pow.f32 u1 2)))) (+.f32 (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 (*.f32 u2 (cbrt.f32 -1)) u1))) (*.f32 (pow.f32 -1 1/6) (*.f32 u2 (cbrt.f32 -1)))))
(+.f32 (*.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 (*.f32 u2 (cbrt.f32 -1)) (pow.f32 u1 2)))) (+.f32 (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 (*.f32 u2 (cbrt.f32 -1)) u1))) (+.f32 (*.f32 5/16 (*.f32 (pow.f32 -1 1/6) (/.f32 (*.f32 u2 (cbrt.f32 -1)) (pow.f32 u1 3)))) (*.f32 (pow.f32 -1 1/6) (*.f32 u2 (cbrt.f32 -1))))))
Outputs
(pow.f32 u1 1/6)
(+.f32 (*.f32 1/6 (pow.f32 (*.f32 1 (pow.f32 u1 7)) 1/6)) (pow.f32 u1 1/6))
(fma.f32 1/6 (pow.f32 (pow.f32 u1 7) 1/6) (pow.f32 u1 1/6))
(+.f32 (*.f32 1/6 (pow.f32 (*.f32 1 (pow.f32 u1 7)) 1/6)) (+.f32 (*.f32 7/72 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (pow.f32 u1 1/6)))
(fma.f32 1/6 (pow.f32 (pow.f32 u1 7) 1/6) (fma.f32 7/72 (pow.f32 (pow.f32 u1 13) 1/6) (pow.f32 u1 1/6)))
(+.f32 (*.f32 91/1296 (pow.f32 (*.f32 1 (pow.f32 u1 19)) 1/6)) (+.f32 (*.f32 1/6 (pow.f32 (*.f32 1 (pow.f32 u1 7)) 1/6)) (+.f32 (*.f32 7/72 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (pow.f32 u1 1/6))))
(fma.f32 91/1296 (pow.f32 (pow.f32 u1 19) 1/6) (fma.f32 1/6 (pow.f32 (pow.f32 u1 7) 1/6) (fma.f32 7/72 (pow.f32 (pow.f32 u1 13) 1/6) (pow.f32 u1 1/6))))
(fma.f32 1/6 (pow.f32 (pow.f32 u1 7) 1/6) (fma.f32 91/1296 (pow.f32 (pow.f32 u1 19) 1/6) (fma.f32 7/72 (pow.f32 (pow.f32 u1 13) 1/6) (pow.f32 u1 1/6))))
(pow.f32 -1 1/6)
(+.f32 (*.f32 1/6 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6))
(fma.f32 1/6 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (pow.f32 -1 1/6))
(fma.f32 1/6 (/.f32 (pow.f32 -1 1/6) u1) (pow.f32 -1 1/6))
(*.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 1/6 u1) 1))
(+.f32 (*.f32 7/72 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (*.f32 1/6 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6)))
(fma.f32 7/72 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (*.f32 u1 u1))) (fma.f32 1/6 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (pow.f32 -1 1/6)))
(fma.f32 7/72 (/.f32 (pow.f32 -1 1/6) (*.f32 u1 u1)) (fma.f32 1/6 (/.f32 (pow.f32 -1 1/6) u1) (pow.f32 -1 1/6)))
(+.f32 (pow.f32 -1 1/6) (*.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 1/6 u1) (/.f32 7/72 (*.f32 u1 u1)))))
(+.f32 (*.f32 7/72 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (*.f32 1/6 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (+.f32 (*.f32 91/1296 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3)))) (pow.f32 -1 1/6))))
(fma.f32 7/72 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (*.f32 u1 u1))) (fma.f32 1/6 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (fma.f32 91/1296 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3))) (pow.f32 -1 1/6))))
(fma.f32 7/72 (/.f32 (pow.f32 -1 1/6) (*.f32 u1 u1)) (fma.f32 1/6 (/.f32 (pow.f32 -1 1/6) u1) (fma.f32 91/1296 (/.f32 (pow.f32 -1 1/6) (pow.f32 u1 3)) (pow.f32 -1 1/6))))
(+.f32 (*.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 91/1296 (pow.f32 u1 3)) 1)) (*.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 1/6 u1) (/.f32 7/72 (*.f32 u1 u1)))))
(pow.f32 -1 1/6)
(+.f32 (*.f32 1/6 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6))
(fma.f32 1/6 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (pow.f32 -1 1/6))
(fma.f32 1/6 (/.f32 (pow.f32 -1 1/6) u1) (pow.f32 -1 1/6))
(*.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 1/6 u1) 1))
(+.f32 (*.f32 7/72 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (*.f32 1/6 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6)))
(fma.f32 7/72 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (*.f32 u1 u1))) (fma.f32 1/6 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (pow.f32 -1 1/6)))
(fma.f32 7/72 (/.f32 (pow.f32 -1 1/6) (*.f32 u1 u1)) (fma.f32 1/6 (/.f32 (pow.f32 -1 1/6) u1) (pow.f32 -1 1/6)))
(+.f32 (pow.f32 -1 1/6) (*.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 1/6 u1) (/.f32 7/72 (*.f32 u1 u1)))))
(+.f32 (*.f32 7/72 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (*.f32 1/6 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (+.f32 (*.f32 91/1296 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3)))) (pow.f32 -1 1/6))))
(fma.f32 7/72 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (*.f32 u1 u1))) (fma.f32 1/6 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (fma.f32 91/1296 (*.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3))) (pow.f32 -1 1/6))))
(fma.f32 7/72 (/.f32 (pow.f32 -1 1/6) (*.f32 u1 u1)) (fma.f32 1/6 (/.f32 (pow.f32 -1 1/6) u1) (fma.f32 91/1296 (/.f32 (pow.f32 -1 1/6) (pow.f32 u1 3)) (pow.f32 -1 1/6))))
(+.f32 (*.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 91/1296 (pow.f32 u1 3)) 1)) (*.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 1/6 u1) (/.f32 7/72 (*.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 u1 (sqrt.f32 -1))))
(+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 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 (*.f32 u1 u1) (sqrt.f32 -1))) (sqrt.f32 -1)) (/.f32 1/2 (*.f32 u1 (sqrt.f32 -1))))
(+.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 (*.f32 u1 (sqrt.f32 -1)))) (sqrt.f32 -1)) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1))))
(fma.f32 (/.f32 -1/2 (*.f32 u1 u1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 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 -1/2 (*.f32 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 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (*.f32 u1 u1) (sqrt.f32 -1))) (sqrt.f32 -1))) (/.f32 1/2 (*.f32 u1 (sqrt.f32 -1))))
(+.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 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 (*.f32 u1 (sqrt.f32 -1)))) (sqrt.f32 -1))) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1))))
(+.f32 (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 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 (fma.f32 -1/2 (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) (*.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (sqrt.f32 -1)) (*.f32 (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1) 1) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))))
(*.f32 (pow.f32 -1 1/6) (cbrt.f32 -1))
(+.f32 (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) u1))) (*.f32 (pow.f32 -1 1/6) (cbrt.f32 -1)))
(fma.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) u1)) (*.f32 (pow.f32 -1 1/6) (cbrt.f32 -1)))
(fma.f32 (pow.f32 -1 1/6) (cbrt.f32 -1) (*.f32 (/.f32 (cbrt.f32 -1) u1) (*.f32 (pow.f32 -1 1/6) 1/2)))
(*.f32 (pow.f32 -1 1/6) (+.f32 (cbrt.f32 -1) (/.f32 (*.f32 1/2 (cbrt.f32 -1)) u1)))
(+.f32 (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) u1))) (+.f32 (*.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) (pow.f32 u1 2)))) (*.f32 (pow.f32 -1 1/6) (cbrt.f32 -1))))
(fma.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) u1)) (fma.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) (*.f32 u1 u1))) (*.f32 (pow.f32 -1 1/6) (cbrt.f32 -1))))
(fma.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) u1)) (fma.f32 (pow.f32 -1 1/6) (cbrt.f32 -1) (*.f32 (/.f32 (cbrt.f32 -1) (*.f32 u1 u1)) (*.f32 (pow.f32 -1 1/6) 3/8))))
(fma.f32 (pow.f32 -1 1/6) (cbrt.f32 -1) (*.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 (*.f32 1/2 (cbrt.f32 -1)) u1) (*.f32 3/8 (/.f32 (cbrt.f32 -1) (*.f32 u1 u1))))))
(+.f32 (*.f32 5/16 (*.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) u1))) (+.f32 (*.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) (pow.f32 u1 2)))) (*.f32 (pow.f32 -1 1/6) (cbrt.f32 -1)))))
(fma.f32 5/16 (*.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) (pow.f32 u1 3))) (fma.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) u1)) (fma.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) (*.f32 u1 u1))) (*.f32 (pow.f32 -1 1/6) (cbrt.f32 -1)))))
(fma.f32 5/16 (*.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) (pow.f32 u1 3))) (fma.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) u1)) (fma.f32 (pow.f32 -1 1/6) (cbrt.f32 -1) (*.f32 (/.f32 (cbrt.f32 -1) (*.f32 u1 u1)) (*.f32 (pow.f32 -1 1/6) 3/8)))))
(+.f32 (*.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 (*.f32 1/2 (cbrt.f32 -1)) u1) (*.f32 3/8 (/.f32 (cbrt.f32 -1) (*.f32 u1 u1))))) (*.f32 (pow.f32 -1 1/6) (+.f32 (cbrt.f32 -1) (*.f32 5/16 (/.f32 (cbrt.f32 -1) (pow.f32 u1 3))))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(*.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 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(*.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 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(*.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 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(*.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 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(*.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 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(*.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 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(*.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 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(*.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 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(*.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 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
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(fma.f32 3/8 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 (/.f32 (*.f32 u1 u1) (cbrt.f32 -1)))) (fma.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 u2 (/.f32 u1 (cbrt.f32 -1)))) (fma.f32 5/16 (*.f32 (pow.f32 -1 1/6) (/.f32 (*.f32 (cbrt.f32 -1) u2) (pow.f32 u1 3))) (*.f32 (pow.f32 -1 1/6) (*.f32 (cbrt.f32 -1) u2)))))
(fma.f32 3/8 (*.f32 (pow.f32 -1 1/6) (*.f32 (/.f32 (cbrt.f32 -1) u1) (/.f32 u2 u1))) (fma.f32 1/2 (*.f32 (pow.f32 -1 1/6) (*.f32 (/.f32 u2 u1) (cbrt.f32 -1))) (fma.f32 (pow.f32 -1 1/6) (*.f32 (cbrt.f32 -1) u2) (*.f32 (pow.f32 -1 1/6) (*.f32 (/.f32 (cbrt.f32 -1) (/.f32 (pow.f32 u1 3) u2)) 5/16)))))
(+.f32 (*.f32 (pow.f32 -1 1/6) (+.f32 (*.f32 (cbrt.f32 -1) u2) (*.f32 5/16 (*.f32 (/.f32 (cbrt.f32 -1) (pow.f32 u1 3)) u2)))) (*.f32 (pow.f32 -1 1/6) (+.f32 (*.f32 1/2 (/.f32 (cbrt.f32 -1) (/.f32 u1 u2))) (*.f32 3/8 (*.f32 (/.f32 (cbrt.f32 -1) (*.f32 u1 u1)) u2)))))

localize83.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sin.f32 (*.f32 314159265359/50000000000 u2))
✓0.3b
(*.f32 (sqrt.f32 u1) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))
0.3b
(*.f32 314159265359/50000000000 u2)
0.4b
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2)
Compiler

Compiled 38 to 28 computations (26.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

6 calls:

TimeVariablePointExpression
0.0ms
u1
@0
(*.f32 (sqrt.f32 u1) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))
0.0ms
u1
@-inf
(*.f32 (sqrt.f32 u1) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))
0.0ms
u1
@inf
(*.f32 (sqrt.f32 u1) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))
0.0ms
u2
@0
(*.f32 (sqrt.f32 u1) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))
0.0ms
u2
@-inf
(*.f32 (sqrt.f32 u1) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))

rewrite56.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
841×pow1_binary32
776×add-log-exp_binary32
776×log1p-expm1-u_binary32
776×expm1-log1p-u_binary32
757×add-exp-log_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111
122311
2219511
Stop Event
1×node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))
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)))))))))

simplify120.0ms (0.9%)

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)))

eval305.0ms (2.3%)

Compiler

Compiled 9405 to 7064 computations (24.9% saved)

prune202.0ms (1.5%)

Pruning

66 alts after pruning (57 fresh and 9 done)

PrunedKeptTotal
New50032532
Fresh132538
Picked011
Done189
Total51466580
Error
0.0b
Counts
580 → 66
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.4b
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
15.0b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))
6.0b
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
15.2b
(*.f32 (sqrt.f32 u1) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
3.6b
(+.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))))))
9.5b
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2) 314159265359/50000000000)))
30.2b
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 (+.f32 1/2 u1) (*.f32 1/8 (/.f32 1 u1)))))
6.0b
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
11.0b
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
25.5b
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 1/2)))
7.9b
(*.f32 (sqrt.f32 (exp.f32 (log.f32 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)))
6.3b
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))) 3)
8.4b
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)
1.4b
(*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
25.9b
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
6.0b
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (*.f32 314159265359/50000000000 u2))
8.7b
(*.f32 (sqrt.f32 u1) (pow.f32 (sqrt.f32 (exp.f32 (*.f32 (log.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3))) 2))
27.5b
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 -1/2 (-.f32 u1 (/.f32 1/8 u1)))))
▶24.9b
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
✓6.0b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
✓1.1b
(*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
25.5b
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
3.5b
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))
23.8b
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
7.5b
(*.f32 (sqrt.f32 u1) (log1p.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
6.1b
(/.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
0.6b
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (*.f32 (/.f32 (+.f32 u1 1) (-.f32 (pow.f32 u1 -2) (*.f32 u1 u1))) (+.f32 u1 (/.f32 1 u1)))))
0.6b
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
15.0b
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000)))) (sqrt.f32 (-.f32 1 u1)))
1.6b
(sqrt.f32 (/.f32 (*.f32 u1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 1 u1)))
▶0.5b
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
27.5b
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))
✓8.4b
(*.f32 (sqrt.f32 u1) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))
▶6.1b
(/.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
6.1b
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
11.0b
(sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
✓11.0b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
25.5b
(*.f32 314159265359/50000000000 (+.f32 (*.f32 1/2 u2) (*.f32 u2 u1)))
7.5b
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 u1 3/2)))
7.6b
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)
30.4b
(*.f32 u1 (*.f32 u2 -314159265359/50000000000))
0.6b
(*.f32 (sqrt.f32 u1) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) -1/2)))
30.2b
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1)))))
✓8.3b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
8.3b
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
6.1b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
8.2b
(sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (fma.f32 u1 u1 u1) (*.f32 u2 u2))))
1.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))))
6.0b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
0.6b
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
▶0.6b
(/.f32 (*.f32 (sqrt.f32 (+.f32 u1 1)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)))
11.3b
(exp.f32 (log.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))))
6.1b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)))
✓0.5b
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
7.5b
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
3.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
6.0b
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
25.9b
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
11.0b
(*.f32 (sqrt.f32 u1) (*.f32 314159265359/50000000000 u2))
3.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
0.6b
(*.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))))
✓0.5b
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
6.0b
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
8.3b
(sqrt.f32 (*.f32 u1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
Compiler

Compiled 1766 to 1399 computations (20.8% saved)

localize52.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sin.f32 (*.f32 314159265359/50000000000 u2))
✓0.3b
(/.f32 1 (-.f32 (/.f32 1 u1) 1))
0.3b
(*.f32 314159265359/50000000000 u2)
✓0.4b
(*.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
2.0ms
u1
@0
(*.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
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)))
0.0ms
u2
@-inf
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))

rewrite67.0ms (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))))))

simplify74.0ms (0.6%)

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))))
(+.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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1)))))))
(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 -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))) (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (fma.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (/.f32 -1/2 u1) (+.f32 (/.f32 -3/8 (*.f32 u1 u1)) (/.f32 -5/16 (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 (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 (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))))))
(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))))
(+.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (-.f32 1 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(fma.f32 -1/2 (/.f32 (+.f32 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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1)))))))
(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 -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))) (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (fma.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (/.f32 -1/2 u1) (+.f32 (/.f32 -3/8 (*.f32 u1 u1)) (/.f32 -5/16 (pow.f32 u1 3))))))
(*.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 -1 (/.f32 1 u1))))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(+.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))))))
(fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (pow.f32 u2 3)) (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(*.f32 (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(+.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)))))))
(fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (pow.f32 u2 3)) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (pow.f32 u2 5)) (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))))
(fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))) (pow.f32 u2 3)) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(*.f32 (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))) (+.f32 (*.f32 314159265359/50000000000 u2) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(*.f32 (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(+.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))))))))
(fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (pow.f32 u2 3)) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (pow.f32 u2 5)) (fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))) (*.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(*.f32 (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))) (+.f32 (fma.f32 314159265359/50000000000 u2 (*.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 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 -1 (/.f32 1 u1)))))
(*.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 -1 (/.f32 1 u1)))))
(*.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 -1 (/.f32 1 u1)))))
(*.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 -1 (/.f32 1 u1)))))
(*.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 -1 (/.f32 1 u1)))))
(*.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 -1 (/.f32 1 u1)))))
(*.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 -1 (/.f32 1 u1)))))
(*.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 -1 (/.f32 1 u1)))))
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 3)))
(+.f32 (pow.f32 u1 3) (fma.f32 u1 u1 u1))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (*.f32 u1 u1) (+.f32 (+.f32 u1 (pow.f32 u1 3)) (pow.f32 u1 4)))
(+.f32 (+.f32 u1 (pow.f32 u1 3)) (fma.f32 u1 u1 (pow.f32 u1 4)))
(*.f32 (fma.f32 u1 u1 1) (fma.f32 u1 u1 u1))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(+.f32 -1 (/.f32 -1 u1))
(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))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(+.f32 -1 (/.f32 -1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 (+.f32 -1 (/.f32 -1 u1)) (/.f32 (/.f32 -1 u1) u1))
(+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 (/.f32 -1 u1) u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (+.f32 (+.f32 -1 (/.f32 -1 u1)) (/.f32 (/.f32 -1 u1) u1)) (/.f32 1 (pow.f32 u1 3)))
(+.f32 -1 (-.f32 (+.f32 (/.f32 -1 u1) (/.f32 (/.f32 -1 u1) u1)) (/.f32 1 (pow.f32 u1 3))))

localize16.0ms (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
u2
@inf
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
1.0ms
u1
@0
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
0.0ms
u2
@-inf
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))

rewrite56.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
555×pow1_binary32
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

localize35.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f32 u2 (sqrt.f32 u1))
✓0.4b
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
✓21.8b
(-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1)
Compiler

Compiled 37 to 19 computations (48.6% saved)

series7.0ms (0%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
3.0ms
u1
@-inf
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
0.0ms
u2
@0
(-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1)
0.0ms
u1
@-inf
(-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1)
0.0ms
u1
@0
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
0.0ms
u1
@inf
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))

rewrite69.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
996×pow1_binary32
931×add-log-exp_binary32
931×log1p-expm1-u_binary32
931×expm1-log1p-u_binary32
108×add-sqr-sqrt_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01027
121515
2283715
Stop Event
1×node limit
Counts
2 → 68
Calls
Call 1
Inputs
(-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1)
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (fma.f32 u2 (sqrt.f32 u1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (*.f32 (fma.f32 u2 (sqrt.f32 u1) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 (sqrt.f32 u1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 u2 (sqrt.f32 u1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (fma.f32 u2 (sqrt.f32 u1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 u2 (sqrt.f32 u1) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 u2 (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 (sqrt.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 (sqrt.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u2 (sqrt.f32 u1))) (cbrt.f32 (*.f32 u1 (*.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u1 (*.f32 u2 u2))) (cbrt.f32 (*.f32 u2 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 u2) 2) (*.f32 (cbrt.f32 u2) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 u1) (*.f32 (cbrt.f32 (sqrt.f32 u1)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 u1 1/4) (*.f32 (pow.f32 u1 1/4) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (*.f32 u2 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u2) (*.f32 (sqrt.f32 u2) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (fma.f32 u2 (sqrt.f32 u1) 1) 3) -1) (/.f32 1 (+.f32 (pow.f32 (fma.f32 u2 (sqrt.f32 u1) 1) 2) (+.f32 (*.f32 u2 (sqrt.f32 u1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (fma.f32 u2 (sqrt.f32 u1) 1) 2) -1) (/.f32 1 (+.f32 (*.f32 u2 (sqrt.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (sqrt.f32 (fma.f32 u2 (sqrt.f32 u1) 1)) 1) (-.f32 (sqrt.f32 (fma.f32 u2 (sqrt.f32 u1) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 (cbrt.f32 u1)) (cbrt.f32 (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 (pow.f32 u1 1/4)) (pow.f32 u1 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 u2)) (sqrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (pow.f32 (fma.f32 u2 (sqrt.f32 u1) 1) 2) (+.f32 (*.f32 u2 (sqrt.f32 u1)) 2)) (+.f32 (pow.f32 (fma.f32 u2 (sqrt.f32 u1) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (*.f32 u2 (sqrt.f32 u1)) 2) (+.f32 (pow.f32 (fma.f32 u2 (sqrt.f32 u1) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (fma.f32 u2 (sqrt.f32 u1) 1) 3) -1) (+.f32 (pow.f32 (fma.f32 u2 (sqrt.f32 u1) 1) 2) (+.f32 (*.f32 u2 (sqrt.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (fma.f32 u2 (sqrt.f32 u1) 1) 3) -1) (+.f32 (pow.f32 (fma.f32 u2 (sqrt.f32 u1) 1) 2) (-.f32 1 (*.f32 (fma.f32 u2 (sqrt.f32 u1) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (fma.f32 u2 (sqrt.f32 u1) 1) 2) -1) (+.f32 (*.f32 u2 (sqrt.f32 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (fma.f32 u2 (sqrt.f32 u1) 1) 2) -1) (-.f32 (fma.f32 u2 (sqrt.f32 u1) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 u2 (sqrt.f32 u1) 1) 3) -1)) (neg.f32 (+.f32 (pow.f32 (fma.f32 u2 (sqrt.f32 u1) 1) 2) (+.f32 (*.f32 u2 (sqrt.f32 u1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 u2 (sqrt.f32 u1) 1) 2) -1)) (neg.f32 (+.f32 (*.f32 u2 (sqrt.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (fma.f32 u2 (sqrt.f32 u1) -1) 3)) (+.f32 1 (-.f32 (*.f32 (fma.f32 u2 (sqrt.f32 u1) -1) (fma.f32 u2 (sqrt.f32 u1) -1)) (fma.f32 u2 (sqrt.f32 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (*.f32 (fma.f32 u2 (sqrt.f32 u1) -1) (fma.f32 u2 (sqrt.f32 u1) -1))) (-.f32 1 (fma.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 (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 pow.f32 (pow.f32 (*.f32 u2 (sqrt.f32 u1)) 3) 1/3)))) (#(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 log.f32 (+.f32 1 (expm1.f32 (*.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))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (fma.f32 u2 (sqrt.f32 u1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (fma.f32 u2 (sqrt.f32 u1) 1)) 2) (cbrt.f32 (fma.f32 u2 (sqrt.f32 u1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (fma.f32 u2 (sqrt.f32 u1) 1)) (sqrt.f32 (fma.f32 u2 (sqrt.f32 u1) 1)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 314159265359/50000000000 (*.f32 (fma.f32 u2 (sqrt.f32 u1) -1) 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 314159265359/50000000000 (*.f32 314159265359/50000000000 (fma.f32 u2 (sqrt.f32 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (fma.f32 u2 (sqrt.f32 u1) 1) 314159265359/50000000000) -314159265359/50000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 314159265359/50000000000 (fma.f32 u2 (sqrt.f32 u1) 1)) -314159265359/50000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) 314159265359/50000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (pow.f32 (fma.f32 u2 (sqrt.f32 u1) 1) 3) -1) 314159265359/50000000000) (+.f32 (pow.f32 (fma.f32 u2 (sqrt.f32 u1) 1) 2) (+.f32 (*.f32 u2 (sqrt.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (pow.f32 (fma.f32 u2 (sqrt.f32 u1) 1) 2) -1) 314159265359/50000000000) (+.f32 (*.f32 u2 (sqrt.f32 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 314159265359/50000000000 (+.f32 (pow.f32 (fma.f32 u2 (sqrt.f32 u1) 1) 3) -1)) (+.f32 (pow.f32 (fma.f32 u2 (sqrt.f32 u1) 1) 2) (+.f32 (*.f32 u2 (sqrt.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 314159265359/50000000000 (+.f32 (pow.f32 (fma.f32 u2 (sqrt.f32 u1) 1) 2) -1)) (+.f32 (*.f32 u2 (sqrt.f32 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) 314159265359/50000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) 314159265359/50000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) 314159265359/50000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) 314159265359/50000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u1 (*.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 314159265359/50000000000) (*.f32 u2 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) 314159265359/50000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) 314159265359/50000000000)))))))

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
5×*-commutative_binary32
3×associate-*r*_binary32
3×associate-*l*_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07180
111180
218180
320180
Stop Event
1×saturated
Counts
92 → 70
Calls
Call 1
Inputs
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.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 u1)))
Outputs
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 u2 (sqrt.f32 u1)) 314159265359/50000000000)
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 u2 (sqrt.f32 u1)) 314159265359/50000000000)
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 u2 (sqrt.f32 u1)) 314159265359/50000000000)
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 u2 (sqrt.f32 u1)) 314159265359/50000000000)
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 u2 (sqrt.f32 u1)) 314159265359/50000000000)
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 u2 (sqrt.f32 u1)) 314159265359/50000000000)
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 u2 (sqrt.f32 u1)) 314159265359/50000000000)
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 u2 (sqrt.f32 u1)) 314159265359/50000000000)
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 u2 (sqrt.f32 u1)) 314159265359/50000000000)
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 u2 (sqrt.f32 u1)) 314159265359/50000000000)
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 u2 (sqrt.f32 u1)) 314159265359/50000000000)
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 u2 (sqrt.f32 u1)) 314159265359/50000000000)
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))

localize50.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiled 37 to 20 computations (45.9% saved)

series2.0ms (0%)

Counts
1 → 20
Calls

6 calls:

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

rewrite66.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
591×log-prod_binary32
335×pow-prod-down_binary32
287×pow2_binary32
208×pow-unpow_binary32
201×pow1/3_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01117
123217
2301117
Stop Event
1×node limit
Counts
1 → 57
Calls
Call 1
Inputs
(/.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1))))) 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> (2) ((x *.f32 314159265359/50000000000 (/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (*.f32 u2 (sqrt.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 314159265359/50000000000 (*.f32 (*.f32 u2 (sqrt.f32 u1)) (pow.f32 (-.f32 1 u1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 (pow.f32 (-.f32 1 u1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) (pow.f32 (-.f32 1 u1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1)))) (cbrt.f32 (/.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) u1) (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) u1) (-.f32 1 u1))) (cbrt.f32 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) u1)) (*.f32 (cbrt.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))) (pow.f32 (-.f32 1 u1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1)))) (sqrt.f32 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))) (*.f32 (sqrt.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))) (pow.f32 (-.f32 1 u1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) -314159265359/50000000000) (/.f32 1 (neg.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (-.f32 1 u1) -1/2) (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 314159265359/50000000000 u2) (*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 u2 (sqrt.f32 u1)) 1) (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) u1)) 1) (/.f32 (cbrt.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))) 1) (/.f32 (sqrt.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 314159265359/50000000000 u2) 1) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 314159265359/50000000000 (cbrt.f32 (-.f32 1 u1))) (/.f32 (*.f32 u2 (sqrt.f32 u1)) (pow.f32 (-.f32 1 u1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 u2 (sqrt.f32 u1)) (cbrt.f32 (-.f32 1 u1))) (/.f32 314159265359/50000000000 (pow.f32 (-.f32 1 u1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (cbrt.f32 (-.f32 1 u1))) (/.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) (pow.f32 (-.f32 1 u1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) u1)) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))) (cbrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))) (pow.f32 (-.f32 1 u1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 314159265359/50000000000 u2) (cbrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 314159265359/50000000000 (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (*.f32 u2 (sqrt.f32 u1)) (pow.f32 (-.f32 1 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 u2 (sqrt.f32 u1)) (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 314159265359/50000000000 (pow.f32 (-.f32 1 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (-.f32 1 u1) -1/4) (/.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) (pow.f32 (-.f32 1 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) u1)) (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (cbrt.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))) (pow.f32 (-.f32 1 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 314159265359/50000000000 u2) (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) u1) (-.f32 1 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 50000000000/314159265359 (/.f32 (sqrt.f32 (-.f32 1 u1)) (*.f32 u2 (sqrt.f32 u1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (pow.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) 3) (pow.f32 (-.f32 1 u1) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (*.f32 50000000000/314159265359 (/.f32 (sqrt.f32 (-.f32 1 u1)) (*.f32 u2 (sqrt.f32 u1)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) (neg.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 (*.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2) u1) (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000)) 3) (pow.f32 (-.f32 1 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (*.f32 u2 (sqrt.f32 u1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 50000000000/314159265359 (/.f32 (sqrt.f32 (-.f32 1 u1)) (*.f32 u2 (sqrt.f32 u1))))) -1))))))

simplify99.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
736×distribute-rgt-out_binary32
507×associate-/l/_binary32
393×*-commutative_binary32
369×associate-/r/_binary32
358×fma-neg_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
056466
1165461
2536426
32456362
44801362
57208362
67566362
77853362
Stop Event
1×node limit
Counts
77 → 73
Calls
Call 1
Inputs
(*.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))))))
Outputs
(*.f32 314159265359/50000000000 (*.f32 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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 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 (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 u2 (*.f32 314159265359/50000000000 (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 -314159265359/100000000000 (/.f32 u2 (*.f32 u1 (sqrt.f32 -1)))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)) (*.f32 (/.f32 -314159265359/100000000000 u1) (/.f32 u2 (sqrt.f32 -1))))
(fma.f32 (/.f32 -314159265359/100000000000 (sqrt.f32 -1)) (/.f32 u2 u1) (*.f32 (sqrt.f32 -1) (*.f32 314159265359/50000000000 u2)))
(*.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 u2 (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1)))) (*.f32 u2 (*.f32 314159265359/50000000000 (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 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 -314159265359/100000000000 (/.f32 (*.f32 u2 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)) (+.f32 (*.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/100000000000 (/.f32 (*.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(fma.f32 -314159265359/100000000000 (*.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (pow.f32 u1 3))) (fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)) (*.f32 -314159265359/100000000000 (+.f32 (/.f32 u2 (*.f32 u1 (sqrt.f32 -1))) (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 u2 (*.f32 u1 u1)))))))
(fma.f32 -314159265359/100000000000 (/.f32 (fma.f32 u2 (/.f32 (+.f32 1/2 (*.f32 (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 u2 (*.f32 u1 (sqrt.f32 -1))) (*.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1)))) (*.f32 u2 (*.f32 314159265359/50000000000 (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))))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)) (*.f32 (*.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 -314159265359/100000000000 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 u2 (*.f32 314159265359/50000000000 (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 314159265359/100000000000 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 -1))))
(fma.f32 314159265359/100000000000 (*.f32 (/.f32 u2 u1) (sqrt.f32 -1)) (*.f32 (sqrt.f32 -1) (*.f32 314159265359/50000000000 u2)))
(*.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 (sqrt.f32 -1) (/.f32 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 (/.f32 u2 u1) (sqrt.f32 -1)) (+.f32 (/.f32 942477796077/400000000000 u1) 314159265359/100000000000)))
(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 (*.f32 u2 (sqrt.f32 -1)) (pow.f32 u1 3)) (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 u2 (/.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)) (fma.f32 314159265359/100000000000 (/.f32 (sqrt.f32 -1) (/.f32 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 (/.f32 u2 u1) (sqrt.f32 -1)) (+.f32 (/.f32 942477796077/400000000000 u1) 314159265359/100000000000))))
(fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 -1)) (*.f32 (/.f32 (*.f32 u2 (sqrt.f32 -1)) u1) (+.f32 (/.f32 314159265359/160000000000 (*.f32 u1 u1)) (+.f32 314159265359/100000000000 (/.f32 942477796077/400000000000 u1)))))

localize67.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiled 60 to 43 computations (28.3% saved)

series6.0ms (0%)

Counts
2 → 36
Calls

12 calls:

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

rewrite84.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
717×log-prod_binary32
599×prod-diff_binary32
312×fma-def_binary32
257×log1p-udef_binary32
256×expm1-udef_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01439
130439
2408339
Stop Event
1×node limit
Counts
2 → 64
Calls
Call 1
Inputs
(/.f32 (*.f32 (sqrt.f32 (+.f32 u1 1)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)))
(*.f32 (sqrt.f32 (+.f32 u1 1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (sqrt.f32 (+.f32 u1 1)) (/.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (/.f32 (sqrt.f32 (+.f32 u1 1)) (/.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))))) (cbrt.f32 (exp.f32 (/.f32 (sqrt.f32 (+.f32 u1 1)) (/.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (sqrt.f32 (+.f32 u1 1)) (/.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sqrt.f32 (+.f32 u1 1)) (/.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sqrt.f32 (+.f32 u1 1)) (/.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sin.f32 (*.f32 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(*.f32 314159265359/50000000000 u2))) (pow.f32 (-.f32 (/.f32 1 u1) u1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (+.f32 u1 1)) (/.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 u1 1)) (/.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))) (cbrt.f32 (/.f32 (*.f32 (+.f32 u1 1) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 (/.f32 1 u1) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 (*.f32 (+.f32 u1 1) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 (/.f32 1 u1) u1))) (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 u1 1)) (/.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (+.f32 u1 1) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) 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u1) u1))) (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 u1 1)) (/.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 (+.f32 u1 1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (-.f32 (/.f32 1 u1) u1))) (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 (+.f32 u1 1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (pow.f32 (-.f32 (/.f32 1 u1) u1) 1/4)) (/.f32 (*.f32 (sqrt.f32 (+.f32 u1 1)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (-.f32 (/.f32 1 u1) u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (+.f32 u1 1)) (pow.f32 (-.f32 (/.f32 1 u1) u1) 1/4)) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 (/.f32 1 u1) u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 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(#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (+.f32 u1 1)) (/.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (*.f32 (sqrt.f32 (+.f32 u1 1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (*.f32 (sqrt.f32 (+.f32 u1 1)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 (*.f32 (+.f32 u1 1) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 (/.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (sqrt.f32 (+.f32 u1 1)) (/.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (sqrt.f32 (+.f32 u1 1)) (/.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (+.f32 u1 1)) (/.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (*.f32 (sqrt.f32 (+.f32 u1 1)) (sin.f32 (*.f32 314159265359/50000000000 u2))) 3) (pow.f32 (-.f32 (/.f32 1 u1) u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (+.f32 u1 1)) (/.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (+.f32 u1 1)) (/.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (-.f32 (*.f32 1/2 (log1p.f32 u1)) (log.f32 (/.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (-.f32 (*.f32 1/2 (log1p.f32 u1)) (log.f32 (/.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (+.f32 u1 1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (+.f32 u1 1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (+.f32 u1 1)) (sin.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (+.f32 u1 1)) (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 1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (+.f32 u1 1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (+.f32 u1 1) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (+.f32 u1 1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (+.f32 u1 1)) (sin.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (+.f32 u1 1) 3/2) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (+.f32 u1 1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (+.f32 u1 1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (+.f32 u1 1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (fma.f32 1/2 (log1p.f32 u1) (log.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (fma.f32 1/2 (log1p.f32 u1) (log.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1))))))

simplify79.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
666×fma-def_binary32
583×associate-/l/_binary32
388×times-frac_binary32
284×distribute-lft-out_binary32
281×associate-*l*_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01121187
13441095
21094967
34695818
47754818
Stop Event
1×node limit
Counts
100 → 100
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 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1)))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1)))))))
(+.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(+.f32 (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)) (+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -1/8 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 2)))))
(+.f32 (*.f32 1/2 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)) (+.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (*.f32 1/16 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3))) (*.f32 -1/8 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 2))))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (+.f32 1 u1))))
(+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (+.f32 1 u1)))) (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (+.f32 1 u1)))))
(+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (+.f32 1 u1)))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (+.f32 1 u1)))) (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (+.f32 1 u1))))))
(+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (+.f32 1 u1)))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (+.f32 1 u1)))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (+.f32 1 u1)))) (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (+.f32 1 u1)))))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 1 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 1 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 1 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 1 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 1 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 1 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 1 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.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 (*.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 (/.f32 -1/2 (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 (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 (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))))
(+.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 (/.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 (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)) (*.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 (fma.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (/.f32 -1/2 u1) (+.f32 (/.f32 -3/8 (*.f32 u1 u1)) (/.f32 -5/16 (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))))
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(*.f32 (sqrt.f32 (+.f32 u1 1)) (+.f32 (*.f32 314159265359/50000000000 u2) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(*.f32 (sqrt.f32 (+.f32 u1 1)) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 314159265359/50000000000 u2))))
(+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (+.f32 1 u1)))) (+.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (+.f32 1 u1)))) (+.f32 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (+.f32 1 u1)))) (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (+.f32 1 u1)))))))
(fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 7) (sqrt.f32 (+.f32 u1 1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (+.f32 u1 1))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 5) (sqrt.f32 (+.f32 u1 1))) (*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (+.f32 u1 1))))))
(+.f32 (*.f32 (sqrt.f32 (+.f32 u1 1)) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))) (*.f32 (sqrt.f32 (+.f32 u1 1)) (+.f32 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(*.f32 (sqrt.f32 (+.f32 u1 1)) (+.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(*.f32 (sqrt.f32 (+.f32 u1 1)) (+.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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 1 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 1 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 1 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 1 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 1 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 1 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 1 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 1 u1)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 1)))

eval249.0ms (1.9%)

Compiler

Compiled 10020 to 7621 computations (23.9% saved)

prune167.0ms (1.2%)

Pruning

73 alts after pruning (62 fresh and 11 done)

PrunedKeptTotal
New52320543
Fresh104252
Picked101
Done21113
Total53673609
Error
0.0b
Counts
609 → 73
Alt Table
Click to see full alt table
StatusErrorProgram
11.0b
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
✓30.4b
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
15.0b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))
6.0b
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
15.2b
(*.f32 (sqrt.f32 u1) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
24.6b
(+.f32 314159265359/50000000000 (*.f32 (fma.f32 u2 (sqrt.f32 u1) -1) 314159265359/50000000000))
3.6b
(+.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))))))
9.5b
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2) 314159265359/50000000000)))
30.2b
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 (+.f32 1/2 u1) (*.f32 1/8 (/.f32 1 u1)))))
11.0b
(*.f32 314159265359/50000000000 (*.f32 (pow.f32 u1 1/4) (*.f32 (pow.f32 u1 1/4) u2)))
6.0b
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
11.0b
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 u1 (*.f32 u2 u2))))
25.5b
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 1/2)))
7.9b
(*.f32 (sqrt.f32 (exp.f32 (log.f32 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 1 (+.f32 -1 (/.f32 1 u1)))))
1.4b
(*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
6.9b
(/.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (+.f32 1 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 (+.f32 -1/8 (*.f32 u1 -1/16)))))))
25.9b
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
6.0b
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (*.f32 314159265359/50000000000 u2))
27.5b
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 -1/2 (-.f32 u1 (/.f32 1/8 u1)))))
✓24.9b
(*.f32 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
✓6.0b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
✓1.1b
(*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
25.5b
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
23.8b
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
✓0.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
15.0b
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000)))) (sqrt.f32 (-.f32 1 u1)))
7.5b
(*.f32 (sqrt.f32 u1) (log1p.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
0.6b
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
27.5b
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))
1.8b
(/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (+.f32 1 (*.f32 u1 1/2)) (*.f32 (*.f32 u1 u1) (+.f32 -1/8 (*.f32 1/16 u1))))) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)))
✓8.4b
(*.f32 (sqrt.f32 u1) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))
✓6.1b
(/.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
1.5b
(sqrt.f32 (/.f32 (*.f32 (+.f32 u1 1) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 (/.f32 1 u1) u1)))
6.1b
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
0.6b
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
11.0b
(sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
✓11.0b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
25.5b
(*.f32 314159265359/50000000000 (+.f32 (*.f32 1/2 u2) (*.f32 u2 u1)))
7.6b
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)
30.4b
(*.f32 u1 (*.f32 u2 -314159265359/50000000000))
0.5b
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (+.f32 (pow.f32 u1 -2) -1)) (+.f32 1 (/.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.6b
(*.f32 (sqrt.f32 u1) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) -1/2)))
20.1b
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 1)
0.6b
(*.f32 (/.f32 (sqrt.f32 (+.f32 u1 1)) (sqrt.f32 (-.f32 (/.f32 1 u1) u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
30.2b
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1)))))
6.1b
(*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 (pow.f32 (-.f32 1 u1) -1/2)))
✓8.3b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
8.3b
(*.f32 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
6.1b
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
8.2b
(sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (fma.f32 u1 u1 u1) (*.f32 u2 u2))))
3.4b
(/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1 (*.f32 u1 1/2))) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)))
1.5b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))))
6.0b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
0.6b
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.6b
(+.f32 0 (/.f32 (sqrt.f32 (+.f32 u1 1)) (/.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
6.1b
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)))
✓0.5b
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
7.5b
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
3.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
0.6b
(*.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) -1/2) (*.f32 (sqrt.f32 (+.f32 u1 1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))
7.5b
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)))
29.9b
(-.f32 (+.f32 1 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))) 1)
25.9b
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
11.0b
(*.f32 (sqrt.f32 u1) (*.f32 314159265359/50000000000 u2))
3.6b
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
0.6b
(*.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))))
11.3b
(exp.f32 (log.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) 314159265359/50000000000)))
6.0b
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
0.8b
(/.f32 (*.f32 (sqrt.f32 (+.f32 u1 1)) (sin.f32 (pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2))) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)))
8.3b
(sqrt.f32 (*.f32 u1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
7.9b
(/.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (+.f32 1 (*.f32 -1/2 u1)))
Compiler

Compiled 1078 to 857 computations (20.5% saved)

regimes1.0s (7.8%)

Counts
112 → 1
Calls
Call 1
Inputs
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 u1 (*.f32 u2 -314159265359/50000000000))
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 1/2)))
(-.f32 (+.f32 1 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))) 1)
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
(*.f32 314159265359/50000000000 (+.f32 (*.f32 1/2 u2) (*.f32 u2 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 -1/2 (-.f32 u1 (/.f32 1/8 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 (+.f32 1/2 u1) (*.f32 1/8 (/.f32 1 u1)))))
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 (sqrt.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.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 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(/.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (+.f32 1 (*.f32 -1/2 u1)))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (*.f32 314159265359/50000000000 u2))
(/.f32 (*.f32 314159265359/50000000000 (*.f32 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 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(+.f32 314159265359/50000000000 (*.f32 (fma.f32 u2 (sqrt.f32 u1) -1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 314159265359/50000000000 (*.f32 (pow.f32 u1 1/4) (*.f32 (pow.f32 u1 1/4) u2)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2) 314159265359/50000000000)))
(sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (fma.f32 u1 u1 u1) (*.f32 u2 u2))))
(/.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 (pow.f32 (-.f32 1 u1) -1/2)))
(*.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 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))
(*.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 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1 (*.f32 u1 1/2))) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)))
(*.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 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (+.f32 1 (*.f32 u1 1/2)) (*.f32 (*.f32 u1 u1) (+.f32 -1/8 (*.f32 1/16 u1))))) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)))
(exp.f32 (log.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) 314159265359/50000000000)))
(exp.f32 (log.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))))
(sqrt.f32 (*.f32 u1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 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 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))) 3)
(sqrt.f32 (/.f32 (*.f32 u1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 1 u1)))
(*.f32 (sqrt.f32 u1) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) -1/2)))
(*.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 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))))
(*.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 (/.f32 (sqrt.f32 (+.f32 u1 1)) (sqrt.f32 (-.f32 (/.f32 1 u1) u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 (sqrt.f32 (+.f32 u1 1)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)))
(sqrt.f32 (/.f32 (*.f32 (+.f32 u1 1) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 (/.f32 1 u1) u1)))
(*.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) -1/2) (*.f32 (sqrt.f32 (+.f32 u1 1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 0 (/.f32 (sqrt.f32 (+.f32 u1 1)) (/.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (+.f32 (pow.f32 u1 -2) -1)) (+.f32 1 (/.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (*.f32 (/.f32 (+.f32 u1 1) (-.f32 (pow.f32 u1 -2) (*.f32 u1 u1))) (+.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 (sqrt.f32 u1) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 u1) (log1p.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (exp.f32 (log.f32 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3)
(*.f32 (sqrt.f32 u1) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 u1 3/2)))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log1p.f32 (expm1.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))) (log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))))
(pow.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 u1)) -1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))
(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))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 1)
(*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) 1/6)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))
(/.f32 (*.f32 (sqrt.f32 (+.f32 u1 1)) (sin.f32 (pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2))) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000)))) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))
(*.f32 (sqrt.f32 u1) (pow.f32 (sqrt.f32 (exp.f32 (*.f32 (log.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 3))) 2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
Outputs
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (+.f32 (pow.f32 u1 -2) -1)) (+.f32 1 (/.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Calls

11 calls:

117.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
100.0ms
u1
99.0ms
(/.f32 u1 (-.f32 1 u1))
98.0ms
cosTheta_i
97.0ms
(*.f32 314159265359/50000000000 u2)
Results
ErrorSegmentsBranch
0.5b1cosTheta_i
0.5b1u1
0.5b1u2
0.5b1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.5b1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.5b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
0.5b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
0.5b1(/.f32 u1 (-.f32 1 u1))
0.5b1(/.f32 u1 (-.f32 1 u1))
0.5b1(sin.f32 (*.f32 314159265359/50000000000 u2))
0.5b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 1497 to 1073 computations (28.3% saved)

regimes715.0ms (5.3%)

Counts
81 → 1
Calls
Call 1
Inputs
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 u1 (*.f32 u2 -314159265359/50000000000))
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 1/2)))
(-.f32 (+.f32 1 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))) 1)
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
(*.f32 314159265359/50000000000 (+.f32 (*.f32 1/2 u2) (*.f32 u2 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 -1/2 (-.f32 u1 (/.f32 1/8 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 (+.f32 1/2 u1) (*.f32 1/8 (/.f32 1 u1)))))
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 (sqrt.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.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 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(/.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (+.f32 1 (*.f32 -1/2 u1)))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (*.f32 314159265359/50000000000 u2))
(/.f32 (*.f32 314159265359/50000000000 (*.f32 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 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(+.f32 314159265359/50000000000 (*.f32 (fma.f32 u2 (sqrt.f32 u1) -1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 314159265359/50000000000 (*.f32 (pow.f32 u1 1/4) (*.f32 (pow.f32 u1 1/4) u2)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2) 314159265359/50000000000)))
(sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (fma.f32 u1 u1 u1) (*.f32 u2 u2))))
(/.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 (pow.f32 (-.f32 1 u1) -1/2)))
(*.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 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))
(*.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 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1 (*.f32 u1 1/2))) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)))
(*.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 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 (+.f32 1 (*.f32 u1 1/2)) (*.f32 (*.f32 u1 u1) (+.f32 -1/8 (*.f32 1/16 u1))))) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)))
(exp.f32 (log.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) 314159265359/50000000000)))
(exp.f32 (log.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))))
(sqrt.f32 (*.f32 u1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 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 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))) 3)
(sqrt.f32 (/.f32 (*.f32 u1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 1 u1)))
(*.f32 (sqrt.f32 u1) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) -1/2)))
(*.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 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))))
(*.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 (/.f32 (sqrt.f32 (+.f32 u1 1)) (sqrt.f32 (-.f32 (/.f32 1 u1) u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (*.f32 (sqrt.f32 (+.f32 u1 1)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)))
(sqrt.f32 (/.f32 (*.f32 (+.f32 u1 1) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (-.f32 (/.f32 1 u1) u1)))
(*.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) -1/2) (*.f32 (sqrt.f32 (+.f32 u1 1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 0 (/.f32 (sqrt.f32 (+.f32 u1 1)) (/.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
Outputs
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Calls

10 calls:

77.0ms
u1
74.0ms
(/.f32 u1 (-.f32 1 u1))
71.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
70.0ms
cosTheta_i
70.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
Results
ErrorSegmentsBranch
0.5b1cosTheta_i
0.5b1u1
0.5b1u2
0.5b1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.5b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
0.5b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
0.5b1(/.f32 u1 (-.f32 1 u1))
0.5b1(/.f32 u1 (-.f32 1 u1))
0.5b1(sin.f32 (*.f32 314159265359/50000000000 u2))
0.5b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 1028 to 715 computations (30.4% saved)

regimes813.0ms (6.1%)

Counts
58 → 1
Calls
Call 1
Inputs
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 u1 (*.f32 u2 -314159265359/50000000000))
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 1/2)))
(-.f32 (+.f32 1 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))) 1)
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
(*.f32 314159265359/50000000000 (+.f32 (*.f32 1/2 u2) (*.f32 u2 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 -1/2 (-.f32 u1 (/.f32 1/8 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 (+.f32 1/2 u1) (*.f32 1/8 (/.f32 1 u1)))))
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 (sqrt.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.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 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(/.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (+.f32 1 (*.f32 -1/2 u1)))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (*.f32 314159265359/50000000000 u2))
(/.f32 (*.f32 314159265359/50000000000 (*.f32 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 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(+.f32 314159265359/50000000000 (*.f32 (fma.f32 u2 (sqrt.f32 u1) -1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 314159265359/50000000000 (*.f32 (pow.f32 u1 1/4) (*.f32 (pow.f32 u1 1/4) u2)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2) 314159265359/50000000000)))
(sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (fma.f32 u1 u1 u1) (*.f32 u2 u2))))
(/.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 (pow.f32 (-.f32 1 u1) -1/2)))
(*.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 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))
(*.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 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(/.f32 (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 1 (*.f32 u1 1/2))) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)))
Outputs
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
Calls

10 calls:

153.0ms
u2
105.0ms
u1
95.0ms
cosTheta_i
82.0ms
(/.f32 u1 (-.f32 1 u1))
71.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
Results
ErrorSegmentsBranch
0.5b1cosTheta_i
0.5b1u1
0.5b1u2
0.5b1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.5b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
0.5b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
0.5b1(/.f32 u1 (-.f32 1 u1))
0.5b1(/.f32 u1 (-.f32 1 u1))
0.5b1(sin.f32 (*.f32 314159265359/50000000000 u2))
0.5b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 702 to 482 computations (31.3% saved)

regimes533.0ms (4%)

Counts
55 → 1
Calls
Call 1
Inputs
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 u1 (*.f32 u2 -314159265359/50000000000))
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 1/2)))
(-.f32 (+.f32 1 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))) 1)
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
(*.f32 314159265359/50000000000 (+.f32 (*.f32 1/2 u2) (*.f32 u2 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 -1/2 (-.f32 u1 (/.f32 1/8 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 (+.f32 1/2 u1) (*.f32 1/8 (/.f32 1 u1)))))
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 (sqrt.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.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 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(/.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (+.f32 1 (*.f32 -1/2 u1)))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (*.f32 314159265359/50000000000 u2))
(/.f32 (*.f32 314159265359/50000000000 (*.f32 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 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(+.f32 314159265359/50000000000 (*.f32 (fma.f32 u2 (sqrt.f32 u1) -1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 314159265359/50000000000 (*.f32 (pow.f32 u1 1/4) (*.f32 (pow.f32 u1 1/4) u2)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2) 314159265359/50000000000)))
(sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (fma.f32 u1 u1 u1) (*.f32 u2 u2))))
(/.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 (pow.f32 (-.f32 1 u1) -1/2)))
(*.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 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))
(*.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 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Calls

10 calls:

83.0ms
(*.f32 314159265359/50000000000 u2)
69.0ms
u2
66.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
55.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
45.0ms
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(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
0.5b1(/.f32 u1 (-.f32 1 u1))
0.5b1(/.f32 u1 (-.f32 1 u1))
0.5b1(sin.f32 (*.f32 314159265359/50000000000 u2))
0.5b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 654 to 446 computations (31.8% saved)

regimes364.0ms (2.7%)

Counts
51 → 1
Calls
Call 1
Inputs
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 u1 (*.f32 u2 -314159265359/50000000000))
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 1/2)))
(-.f32 (+.f32 1 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))) 1)
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
(*.f32 314159265359/50000000000 (+.f32 (*.f32 1/2 u2) (*.f32 u2 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 -1/2 (-.f32 u1 (/.f32 1/8 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 (+.f32 1/2 u1) (*.f32 1/8 (/.f32 1 u1)))))
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 (sqrt.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.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 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(/.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (+.f32 1 (*.f32 -1/2 u1)))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (*.f32 314159265359/50000000000 u2))
(/.f32 (*.f32 314159265359/50000000000 (*.f32 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 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(+.f32 314159265359/50000000000 (*.f32 (fma.f32 u2 (sqrt.f32 u1) -1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 314159265359/50000000000 (*.f32 (pow.f32 u1 1/4) (*.f32 (pow.f32 u1 1/4) u2)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2) 314159265359/50000000000)))
(sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (fma.f32 u1 u1 u1) (*.f32 u2 u2))))
(/.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 314159265359/50000000000 (pow.f32 (-.f32 1 u1) -1/2)))
(*.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 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Calls

8 calls:

49.0ms
(/.f32 u1 (-.f32 1 u1))
47.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
47.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
43.0ms
u1
43.0ms
u2
Results
ErrorSegmentsBranch
0.5b1cosTheta_i
0.5b1u1
0.5b1u2
0.5b1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.5b1(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 585 to 392 computations (33% saved)

regimes399.0ms (3%)

Counts
46 → 1
Calls
Call 1
Inputs
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 u1 (*.f32 u2 -314159265359/50000000000))
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 1/2)))
(-.f32 (+.f32 1 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))) 1)
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
(*.f32 314159265359/50000000000 (+.f32 (*.f32 1/2 u2) (*.f32 u2 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 -1/2 (-.f32 u1 (/.f32 1/8 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 (+.f32 1/2 u1) (*.f32 1/8 (/.f32 1 u1)))))
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 (sqrt.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.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 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(/.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (+.f32 1 (*.f32 -1/2 u1)))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (*.f32 314159265359/50000000000 u2))
(/.f32 (*.f32 314159265359/50000000000 (*.f32 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 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(+.f32 314159265359/50000000000 (*.f32 (fma.f32 u2 (sqrt.f32 u1) -1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 314159265359/50000000000 (*.f32 (pow.f32 u1 1/4) (*.f32 (pow.f32 u1 1/4) u2)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2) 314159265359/50000000000)))
(sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 (fma.f32 u1 u1 u1) (*.f32 u2 u2))))
(/.f32 (*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 314159265359/50000000000 (*.f32 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:

83.0ms
(/.f32 u1 (-.f32 1 u1))
50.0ms
u2
49.0ms
u1
30.0ms
(sin.f32 (*.f32 314159265359/50000000000 u2))
29.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
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 528 to 352 computations (33.3% saved)

regimes576.0ms (4.3%)

Counts
40 → 2
Calls
Call 1
Inputs
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 u1 (*.f32 u2 -314159265359/50000000000))
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 1/2)))
(-.f32 (+.f32 1 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))) 1)
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
(*.f32 314159265359/50000000000 (+.f32 (*.f32 1/2 u2) (*.f32 u2 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 -1/2 (-.f32 u1 (/.f32 1/8 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 (+.f32 1/2 u1) (*.f32 1/8 (/.f32 1 u1)))))
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 (sqrt.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.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 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(/.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (+.f32 1 (*.f32 -1/2 u1)))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (*.f32 314159265359/50000000000 u2))
(/.f32 (*.f32 314159265359/50000000000 (*.f32 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 314159265359/50000000000 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) u2))
(+.f32 314159265359/50000000000 (*.f32 (fma.f32 u2 (sqrt.f32 u1) -1) 314159265359/50000000000))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 314159265359/50000000000 (*.f32 (pow.f32 u1 1/4) (*.f32 (pow.f32 u1 1/4) u2)))
Outputs
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))
Calls

10 calls:

77.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
73.0ms
(*.f32 314159265359/50000000000 u2)
69.0ms
(/.f32 u1 (-.f32 1 u1))
55.0ms
cosTheta_i
49.0ms
u1
Results
ErrorSegmentsBranch
6.0b1cosTheta_i
3.3b2u1
2.8b2u2
3.3b2(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
3.3b2(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
3.3b2(/.f32 u1 (-.f32 1 u1))
3.3b2(/.f32 u1 (-.f32 1 u1))
3.6b2(sin.f32 (*.f32 314159265359/50000000000 u2))
2.8b2(*.f32 314159265359/50000000000 u2)
2.8b2(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 468 to 318 computations (32.1% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.010266507044434547
0.010727980174124241
Compiler

Compiled 20 to 16 computations (20% saved)

regimes365.0ms (2.7%)

Counts
35 → 1
Calls
Call 1
Inputs
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 u1 (*.f32 u2 -314159265359/50000000000))
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 1/2)))
(-.f32 (+.f32 1 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))) 1)
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
(*.f32 314159265359/50000000000 (+.f32 (*.f32 1/2 u2) (*.f32 u2 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 -1/2 (-.f32 u1 (/.f32 1/8 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 (+.f32 1/2 u1) (*.f32 1/8 (/.f32 1 u1)))))
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 (sqrt.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.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 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(/.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (+.f32 1 (*.f32 -1/2 u1)))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (*.f32 314159265359/50000000000 u2))
(/.f32 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1))) (+.f32 1 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 (+.f32 -1/8 (*.f32 u1 -1/16)))))))
Outputs
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
Calls

9 calls:

110.0ms
(*.f32 314159265359/50000000000 u2)
53.0ms
(/.f32 u1 (-.f32 1 u1))
36.0ms
(/.f32 u1 (-.f32 1 u1))
33.0ms
cosTheta_i
31.0ms
u1
Results
ErrorSegmentsBranch
6.0b1cosTheta_i
6.0b1u1
6.0b1u2
6.0b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
6.0b1(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
6.0b1(/.f32 u1 (-.f32 1 u1))
6.0b1(/.f32 u1 (-.f32 1 u1))
6.0b1(*.f32 314159265359/50000000000 u2)
6.0b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 417 to 285 computations (31.7% saved)

regimes226.0ms (1.7%)

Counts
23 → 1
Calls
Call 1
Inputs
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 u1 (*.f32 u2 -314159265359/50000000000))
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 1/2)))
(-.f32 (+.f32 1 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))) 1)
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
(*.f32 314159265359/50000000000 (+.f32 (*.f32 1/2 u2) (*.f32 u2 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 -1/2 (-.f32 u1 (/.f32 1/8 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 (+.f32 1/2 u1) (*.f32 1/8 (/.f32 1 u1)))))
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 (sqrt.f32 u1) (*.f32 314159265359/50000000000 u2))
(*.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 314159265359/50000000000 (-.f32 (+.f32 1 (*.f32 u2 (sqrt.f32 u1))) 1))
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))) 1)
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
Outputs
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
Calls

7 calls:

72.0ms
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
29.0ms
(*.f32 314159265359/50000000000 u2)
25.0ms
u1
24.0ms
u2
23.0ms
(*.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(*.f32 314159265359/50000000000 u2)
6.0b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 242 to 160 computations (33.9% saved)

regimes118.0ms (0.9%)

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

7 calls:

38.0ms
(*.f32 314159265359/50000000000 u2)
14.0ms
u2
13.0ms
u1
13.0ms
(*.f32 314159265359/50000000000 u2)
11.0ms
cosTheta_i
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(*.f32 314159265359/50000000000 u2)
6.0b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 232 to 153 computations (34.1% saved)

regimes69.0ms (0.5%)

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

5 calls:

17.0ms
(*.f32 314159265359/50000000000 u2)
13.0ms
u2
11.0ms
(*.f32 314159265359/50000000000 u2)
11.0ms
u1
11.0ms
cosTheta_i
Results
ErrorSegmentsBranch
11.0b1cosTheta_i
11.0b1u1
11.0b1u2
11.0b1(*.f32 314159265359/50000000000 u2)
11.0b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 185 to 119 computations (35.7% saved)

regimes68.0ms (0.5%)

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

5 calls:

17.0ms
u1
16.0ms
cosTheta_i
12.0ms
(*.f32 314159265359/50000000000 u2)
10.0ms
(*.f32 314159265359/50000000000 u2)
9.0ms
u2
Results
ErrorSegmentsBranch
11.0b1cosTheta_i
11.0b1u1
11.0b1u2
11.0b1(*.f32 314159265359/50000000000 u2)
11.0b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 143 to 96 computations (32.9% saved)

regimes73.0ms (0.5%)

Counts
12 → 1
Calls
Call 1
Inputs
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 u1 (*.f32 u2 -314159265359/50000000000))
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 1/2)))
(-.f32 (+.f32 1 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))) 1)
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
(*.f32 314159265359/50000000000 (+.f32 (*.f32 1/2 u2) (*.f32 u2 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 -1/2 (-.f32 u1 (/.f32 1/8 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (-.f32 (+.f32 1/2 u1) (*.f32 1/8 (/.f32 1 u1)))))
(+.f32 (*.f32 314159265359/400000000000 (/.f32 u2 u1)) (+.f32 (*.f32 -314159265359/100000000000 u2) (*.f32 -314159265359/50000000000 (*.f32 u2 u1))))
Outputs
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
Calls

4 calls:

17.0ms
u2
16.0ms
(*.f32 314159265359/50000000000 u2)
16.0ms
cosTheta_i
14.0ms
u1
Results
ErrorSegmentsBranch
25.5b1cosTheta_i
25.5b1u1
25.5b1u2
25.5b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 125 to 84 computations (32.8% saved)

regimes76.0ms (0.6%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 u1 (*.f32 u2 -314159265359/50000000000))
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 1/2)))
(-.f32 (+.f32 1 (*.f32 -314159265359/50000000000 (*.f32 u2 u1))) 1)
Outputs
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 1/2)))
Calls

4 calls:

37.0ms
u2
13.0ms
u1
11.0ms
(*.f32 314159265359/50000000000 u2)
5.0ms
cosTheta_i
Results
ErrorSegmentsBranch
25.5b1cosTheta_i
25.5b1u1
25.5b1u2
25.5b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 57 to 39 computations (31.6% saved)

regimes51.0ms (0.4%)

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

4 calls:

36.0ms
cosTheta_i
5.0ms
(*.f32 314159265359/50000000000 u2)
4.0ms
u2
4.0ms
u1
Results
ErrorSegmentsBranch
25.9b1cosTheta_i
25.9b1u1
25.9b1u2
25.9b1(*.f32 314159265359/50000000000 u2)
Compiler

Compiled 41 to 28 computations (31.7% saved)

regimes13.0ms (0.1%)

Accuracy

Total -4.7b remaining (-18.3%)

Threshold costs -4.7b (-18.3%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 u1 (*.f32 u2 -314159265359/50000000000))
Outputs
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
Calls

3 calls:

5.0ms
cosTheta_i
4.0ms
u1
4.0ms
u2
Results
ErrorSegmentsBranch
25.9b1cosTheta_i
25.9b1u1
25.9b1u2
Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify17.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
28×*-commutative_binary32
11×+-commutative_binary32
6×sub-neg_binary32
2×neg-sub0_binary32
2×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069276
1112276
2120276
3124276
4126276
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (+.f32 (pow.f32 u1 -2) -1)) (+.f32 1 (/.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(if (<=.f32 (*.f32 314159265359/50000000000 u2) 11274289/1073741824) (*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 1/2)))
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
Outputs
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (+.f32 (pow.f32 u1 -2) -1)) (+.f32 1 (/.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 1 u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(if (<=.f32 (*.f32 314159265359/50000000000 u2) 11274289/1073741824) (*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(if (<=.f32 (*.f32 314159265359/50000000000 u2) 11274289/1073741824) (*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2))) (*.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) 314159265359/50000000000))
(*.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 u1)))
(+.f32 (*.f32 314159265359/100000000000 u2) (*.f32 314159265359/50000000000 (*.f32 u2 u1)))
(+.f32 (*.f32 u2 314159265359/100000000000) (*.f32 314159265359/50000000000 (*.f32 u1 u2)))
(*.f32 314159265359/50000000000 (*.f32 u2 (+.f32 u1 1/2)))
(*.f32 u1 (*.f32 314159265359/50000000000 u2))
(*.f32 314159265359/50000000000 (*.f32 u2 u1))
(*.f32 314159265359/50000000000 (*.f32 u1 u2))
(*.f32 -314159265359/50000000000 (*.f32 u2 u1))
(*.f32 (*.f32 u1 u2) -314159265359/50000000000)
Compiler

Compiled 235 to 188 computations (20% saved)

soundness0.0ms (0%)

end132.0ms (1%)

Compiler

Compiled 187 to 136 computations (27.3% saved)

Profiling

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