Details

Time bar (total: 7.2s)

analyze227.0ms (3.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
25%25%74.9%0.1%0%0%0%7
37.5%37.4%62.4%0.1%0%0%0%8
37.5%37.4%62.4%0.1%0%0%0%9
56.3%56.2%43.7%0.1%0%0%0%10
65.6%65.5%34.3%0.1%0%0%0%11
65.6%65.5%34.3%0.1%0%0%0%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.1s (29%)

Results
1.2s6210×body256valid
659.0ms1366×body1024valid
240.0ms677×body512valid
4.0msbody2048valid
Bogosity

preprocess17.0ms (0.2%)

Algorithm
egg-herbie
Rules
24×fma-def_binary64
20×+-commutative_binary64
12×associate-+r+_binary64
12×associate-+l+_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02256
14248
27848
310248
033
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 y (sin.f64 x)) (*.f64 z (cos.f64 x)))
(+.f64 (+.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+.f64 (+.f64 x (sin.f64 z)) (*.f64 y (cos.f64 z)))
Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (+.f64 y (sin.f64 x)) (*.f64 z (cos.f64 x)))
(fma.f64 z (cos.f64 x) (+.f64 y (sin.f64 x)))
(+.f64 (sin.f64 x) (fma.f64 z (cos.f64 x) y))
(+.f64 (+.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+.f64 z (+.f64 (sin.f64 y) (*.f64 x (cos.f64 y))))
(fma.f64 x (cos.f64 y) (+.f64 (sin.f64 y) z))
(+.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) z))
(+.f64 (+.f64 x (sin.f64 z)) (*.f64 y (cos.f64 z)))
(+.f64 x (+.f64 (sin.f64 z) (*.f64 y (cos.f64 z))))
(fma.f64 y (cos.f64 z) (+.f64 x (sin.f64 z)))
(+.f64 x (fma.f64 y (cos.f64 z) (sin.f64 z)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
associate-+r+_binary64
associate-+l+_binary64
*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0914
11412
22312
32912
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))

eval1.0ms (0%)

Compiler

Compiled 20 to 9 computations (55% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
0.0b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 23 to 15 computations (34.8% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
0.1b
(*.f64 z (cos.f64 y))
Compiler

Compiled 27 to 8 computations (70.4% saved)

series9.0ms (0.1%)

Counts
2 → 52
Calls

15 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
1.0ms
z
@0
(*.f64 z (cos.f64 y))
1.0ms
y
@0
(*.f64 z (cos.f64 y))
1.0ms
x
@0
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
1.0ms
z
@inf
(*.f64 z (cos.f64 y))

rewrite61.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
497×log-prod_binary64
490×fma-def_binary64
374×pow-prod-down_binary64
280×pow2_binary64
236×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0920
119818
2289918
Stop Event
node limit
Counts
2 → 111
Calls
Call 1
Inputs
(*.f64 z (cos.f64 y))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (cos.f64 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) 2) (cbrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (sqrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (neg.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 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3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))) (exp.f64 (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 z) (cos.f64 y)) (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))) (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 1) (fma.f64 z (cos.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 y)))) (pow.f64 (exp.f64 z) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x (sin.f64 y))) (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1) (fma.f64 z (cos.f64 y) (sin.f64 y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cos.f64 y)) 1 (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (fma.f64 z (cos.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 y) 1 (+.f64 x (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (sin.f64 y)) 1 (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 z (cos.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 z (cos.f64 y) (sin.f64 y)))))) 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((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 z (cos.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (+.f64 x (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x (sin.f64 y)))))))

simplify62.0ms (0.9%)

Algorithm
egg-herbie
Rules
449×unswap-sqr_binary64
331×cancel-sign-sub-inv_binary64
284×associate-+l+_binary64
271×associate-+r+_binary64
212×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02962337
17452294
223482292
Stop Event
node limit
Counts
163 → 158
Calls
Call 1
Inputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
x
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 0 (*.f64 z (cos.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (cos.f64 y)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 3) 1/3))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))))
(*.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) 1)
(*.f64 1 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))
(*.f64 (cbrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) 2) (cbrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(*.f64 (sqrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (sqrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) 2))))
(*.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))))
(/.f64 1 (/.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (neg.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (neg.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3)) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2) (*.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2)) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))
(pow.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) 1)
(pow.f64 (pow.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) -1)
(pow.f64 (/.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) 2))
(log.f64 (exp.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))) (exp.f64 (+.f64 x (sin.f64 y)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 z) (cos.f64 y)) (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 y))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))) (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 y))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 1) (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 y)))) (pow.f64 (exp.f64 z) (cos.f64 y))))
(log.f64 (*.f64 (exp.f64 (+.f64 x (sin.f64 y))) (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1) (fma.f64 z (cos.f64 y) (sin.f64 y))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(log1p.f64 (expm1.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(exp.f64 (log.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) 1) 1))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(fma.f64 (*.f64 z (cos.f64 y)) 1 (+.f64 x (sin.f64 y)))
(fma.f64 x 1 (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 x 1 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(fma.f64 (sin.f64 y) 1 (+.f64 x (*.f64 z (cos.f64 y))))
(fma.f64 (+.f64 x (sin.f64 y)) 1 (*.f64 z (cos.f64 y)))
(fma.f64 1 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(fma.f64 1 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 1 x (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(fma.f64 1 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))
(fma.f64 1 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(fma.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (+.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)) (+.f64 x (sin.f64 y)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(fma.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (+.f64 x (*.f64 z (cos.f64 y))))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (cbrt.f64 (sin.f64 y)) (+.f64 x (*.f64 z (cos.f64 y))))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (cos.f64 y)) z) (+.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)) (+.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (+.f64 x (*.f64 z (cos.f64 y))))
(fma.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z) (+.f64 x (sin.f64 y)))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 z (cos.f64 y)))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) x)
(fma.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) x)
(fma.f64 (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))
(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))
(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (+.f64 x (sin.f64 y)))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x (sin.f64 y)))
Outputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 1/24 (*.f64 z (pow.f64 y 4))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (*.f64 1/24 (*.f64 z (pow.f64 y 4))))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z)))
(+.f64 (*.f64 z (+.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/720 (pow.f64 y 6))) (*.f64 1/24 (pow.f64 y 4)))) z)
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
x
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 x y))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 z x)))
(+.f64 (+.f64 z x) (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y))
(+.f64 y (+.f64 x (fma.f64 -1/2 (*.f64 y (*.f64 y z)) z)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 z x))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (+.f64 z x) (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y)))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y (+.f64 x (fma.f64 -1/2 (*.f64 y (*.f64 y z)) z))))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 0 (*.f64 z (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))
(*.f64 (cos.f64 y) z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/2)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 (cos.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(*.f64 (cos.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(*.f64 (cos.f64 y) z)
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))
(*.f64 (cos.f64 y) z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3))
(*.f64 (cos.f64 y) z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 2))
(*.f64 (cos.f64 y) z)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (cos.f64 y)))) 1/3))
(*.f64 (cos.f64 y) z)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1) 1))
(*.f64 (cos.f64 y) z)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 3) 1/3))
(*.f64 (cos.f64 y) z)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) 1)
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (sin.f64 y) (-.f64 x (*.f64 (cos.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
(*.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) 1)
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
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(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) 1) 1))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (*.f64 z (cos.f64 y)) 1 (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 x 1 (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 x 1 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (sin.f64 y) 1 (+.f64 x (*.f64 z (cos.f64 y))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (+.f64 x (sin.f64 y)) 1 (*.f64 z (cos.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 1 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 1 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 1 x (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 1 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 1 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (*.f64 z (cos.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (+.f64 x (*.f64 z (cos.f64 y))))
(fma.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (+.f64 (*.f64 (cos.f64 y) z) x))
(fma.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (fma.f64 (cos.f64 y) z x))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (cbrt.f64 (sin.f64 y)) (+.f64 x (*.f64 z (cos.f64 y))))
(fma.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (+.f64 (*.f64 (cos.f64 y) z) x))
(fma.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (fma.f64 (cos.f64 y) z x))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (cos.f64 y)) z) (+.f64 x (sin.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (*.f64 z (cbrt.f64 (cos.f64 y))) (+.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (+.f64 x (*.f64 z (cos.f64 y))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 z (cos.f64 y)))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) x)
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) x)
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (*.f64 z (cbrt.f64 (cos.f64 y))) (+.f64 (sin.f64 y) x))
(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
Compiler

Compiled 22 to 7 computations (68.2% saved)

series4.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@0
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
0.0ms
y
@inf
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
0.0ms
y
@-inf
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
0.0ms
z
@-inf
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
0.0ms
z
@inf
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))

rewrite44.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
909×pow1_binary64
838×add-log-exp_binary64
838×log1p-expm1-u_binary64
838×expm1-log1p-u_binary64
818×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
116712
2222212
Stop Event
node limit
Counts
1 → 23
Calls
Call 1
Inputs
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (cos.f64 y)) 1) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (+.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))))

simplify55.0ms (0.8%)

Algorithm
egg-herbie
Rules
792×div-sub_binary64
314×fma-def_binary64
280×distribute-rgt-in_binary64
272×fma-neg_binary64
271×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
074747
1201744
2849741
33912715
46812715
Stop Event
node limit
Counts
59 → 53
Calls
Call 1
Inputs
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(+.f64 (*.f64 (*.f64 z (cos.f64 y)) 1) (+.f64 x (sin.f64 y)))
(+.f64 (+.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y))
(+.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)
(-.f64 (+.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 1)
(*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)
(*.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (+.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))
(/.f64 (-.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))
(pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
Outputs
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 z x)
(+.f64 x z)
(+.f64 y (+.f64 z x))
(+.f64 y (+.f64 x z))
(+.f64 x (+.f64 y z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 x z)))
(+.f64 (+.f64 x z) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) y))
(+.f64 y (fma.f64 z (*.f64 y (*.f64 y -1/2)) (+.f64 x z)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 x z))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (+.f64 x z) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) y)))
(fma.f64 z (*.f64 y (*.f64 y -1/2)) (fma.f64 -1/6 (pow.f64 y 3) (+.f64 y (+.f64 x z))))
(fma.f64 z (*.f64 y (*.f64 y -1/2)) (fma.f64 -1/6 (pow.f64 y 3) (+.f64 x (+.f64 y z))))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (*.f64 z (cos.f64 y)) 1) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (+.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(-.f64 (+.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 1)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(*.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (+.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (fma.f64 (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 z (*.f64 (cos.f64 y) (+.f64 (sin.f64 y) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (fma.f64 z (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) z)) (*.f64 (+.f64 (sin.f64 y) x) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 (cos.f64 y) (cos.f64 y))) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) (*.f64 z z))) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (*.f64 z (*.f64 z (*.f64 (cos.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(/.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) 1)
(pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/3)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 2))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))

eval38.0ms (0.5%)

Compiler

Compiled 3210 to 950 computations (70.4% saved)

prune40.0ms (0.6%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New19714211
Fresh000
Picked011
Done101
Total19815213
Error
0.0b
Counts
213 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
31.9b
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x (sin.f64 y)))
18.1b
(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))
0.0b
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
29.1b
(/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 (cos.f64 y) (cos.f64 y))) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
0.0b
(+.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)
0.5b
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
34.1b
(+.f64 (+.f64 x (sin.f64 y)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))))
20.1b
(+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
10.8b
(+.f64 (+.f64 x (sin.f64 y)) z)
30.2b
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
25.7b
(+.f64 (sin.f64 y) x)
25.9b
(+.f64 z (+.f64 x y))
19.8b
(+.f64 z x)
38.9b
(*.f64 (cos.f64 y) z)
34.7b
x
Compiler

Compiled 345 to 224 computations (35.1% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)
0.0b
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
0.1b
(*.f64 z (cos.f64 y))
Compiler

Compiled 30 to 8 computations (73.3% saved)

series5.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(+.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)
0.0ms
y
@-inf
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
0.0ms
x
@0
(+.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)
0.0ms
z
@0
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
0.0ms
y
@inf
(+.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)

rewrite61.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
536×fma-def_binary64
497×log-prod_binary64
374×pow-prod-down_binary64
280×pow2_binary64
268×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
119921
2289721
Stop Event
node limit
Counts
2 → 162
Calls
Call 1
Inputs
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
(+.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2)) (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) 2) (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) (sqrt.f64 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(fma.f64 z (cos.f64 y) x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (cos.f64 y) (*.f64 (+.f64 (sin.f64 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) z (*.f64 (+.f64 (sin.f64 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cos.f64 y)) 1 (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cos.f64 y)) 1 (*.f64 (+.f64 (sin.f64 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 y) 1 (fma.f64 z (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (fma.f64 z (cos.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (cos.f64 y)) (*.f64 (+.f64 (sin.f64 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 z (cos.f64 y) (sin.f64 y)))))) 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(cos.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (+.f64 (sin.f64 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)) (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)) (*.f64 (+.f64 (sin.f64 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (fma.f64 z (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule 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(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (*.f64 (+.f64 (sin.f64 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (+.f64 (sin.f64 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 (+.f64 (sin.f64 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 (+.f64 (sin.f64 y) x) 1))))))

simplify72.0ms (1%)

Algorithm
egg-herbie
Rules
519×distribute-rgt-in_binary64
488×distribute-lft-in_binary64
463×times-frac_binary64
365×unswap-sqr_binary64
312×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03463367
18603326
224313326
Stop Event
node limit
Counts
222 → 211
Calls
Call 1
Inputs
(sin.f64 y)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
z
(+.f64 y z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z)))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
x
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1)
(*.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y)))
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2)) (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
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(fma.f64 (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (+.f64 (sin.f64 y) x))
(fma.f64 (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (*.f64 (+.f64 (sin.f64 y) x) 1))
(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (+.f64 (sin.f64 y) x))
(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (+.f64 (sin.f64 y) x) 1))
(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (+.f64 (sin.f64 y) x))
(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 (+.f64 (sin.f64 y) x) 1))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 (sin.f64 y) x))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 (+.f64 (sin.f64 y) x) 1))
Outputs
(sin.f64 y)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
z
(+.f64 y z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y z))
(+.f64 z (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z)))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y z)))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 z (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y)))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 z x)))
(+.f64 (+.f64 z (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y)) x)
(+.f64 (+.f64 z x) (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 z x))))
(+.f64 (fma.f64 -1/6 (pow.f64 y 3) (+.f64 z (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y))) x)
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (+.f64 z x) (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
x
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) 1)
(fma.f64 (cos.f64 y) z (sin.f64 y))
(-.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1)
(fma.f64 (cos.f64 y) z (sin.f64 y))
(*.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2)))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2)) (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 2)))
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) 1) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(*.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(/.f64 1 (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) 1) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(/.f64 1 (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) 1) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) 1) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3))) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) 1) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2))) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1)
(fma.f64 (cos.f64 y) z (sin.f64 y))
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2) 1/2)
(fma.f64 (cos.f64 y) z (sin.f64 y))
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 3)
(fma.f64 (cos.f64 y) z (sin.f64 y))
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2)
(fma.f64 (cos.f64 y) z (sin.f64 y))
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3) 1/3)
(fma.f64 (cos.f64 y) z (sin.f64 y))
(pow.f64 (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3))) -1)
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) 1) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(pow.f64 (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2))) -1)
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
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(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 (+.f64 (sin.f64 y) x) 1))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))

localize3.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize5.0ms (0.1%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
0.1b
(*.f64 z (cos.f64 y))
0.1b
(pow.f64 (*.f64 z (cos.f64 y)) 3)
37.0b
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
Compiler

Compiled 44 to 17 computations (61.4% saved)

series12.0ms (0.2%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
2.0ms
y
@0
(pow.f64 (*.f64 z (cos.f64 y)) 3)
2.0ms
z
@-inf
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
1.0ms
z
@0
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
1.0ms
y
@-inf
(pow.f64 (*.f64 z (cos.f64 y)) 3)
1.0ms
y
@inf
(pow.f64 (*.f64 z (cos.f64 y)) 3)

rewrite65.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
578×log-prod_binary64
515×fma-def_binary64
441×pow-prod-down_binary64
322×pow2_binary64
271×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01229
126827
2343127
Stop Event
node limit
Counts
3 → 153
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 z (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 (cos.f64 y) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) (*.f64 z (pow.f64 (*.f64 z (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 z (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) (pow.f64 (*.f64 z (cos.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) z) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (cos.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (sqrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (cos.f64 y)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))) 2) (cbrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) 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(sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))) (exp.f64 (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 z) (cos.f64 y)) (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))) (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (*.f64 (exp.f64 (sin.f64 y)) (pow.f64 (exp.f64 z) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (*.f64 (exp.f64 (sin.f64 y)) (pow.f64 (exp.f64 z) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 y)))) (pow.f64 (exp.f64 z) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x (sin.f64 y))) (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (exp.f64 (sin.f64 y)) (pow.f64 (exp.f64 z) (cos.f64 y))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (exp.f64 (sin.f64 y)) (pow.f64 (exp.f64 z) (cos.f64 y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cos.f64 y)) 1 (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (fma.f64 z (cos.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 y) 1 (+.f64 x (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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(+.f64 x (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (+.f64 x (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 z (cos.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x (sin.f64 y)))))))

simplify74.0ms (1%)

Algorithm
egg-herbie
Rules
419×cancel-sign-sub-inv_binary64
402×times-frac_binary64
262×fma-neg_binary64
251×distribute-rgt-neg-in_binary64
250×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03964294970428
19943076
234073049
Stop Event
node limit
Counts
237 → 227
Calls
Call 1
Inputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 z 3)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (pow.f64 z 3))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/24 (pow.f64 z 3)) (+.f64 (*.f64 1/2 (pow.f64 z 3)) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z))))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (+.f64 (pow.f64 z 3) (+.f64 (*.f64 (pow.f64 y 6) (+.f64 (*.f64 (+.f64 (*.f64 -1/360 (pow.f64 z 2)) (*.f64 -1/24 (pow.f64 z 2))) z) (+.f64 (*.f64 -1/720 (pow.f64 z 3)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z)) (*.f64 -1/24 (pow.f64 z 3)))))) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/24 (pow.f64 z 3)) (+.f64 (*.f64 1/2 (pow.f64 z 3)) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z)))))))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
x
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) (+.f64 (sin.f64 y) x))
(+.f64 0 (*.f64 z (cos.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 1 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6) 1/6)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 9) 1/9)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 3/2)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 2/3)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (cos.f64 y)))) 1/3))
(+.f64 0 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))) 1)
(*.f64 z (*.f64 (cos.f64 y) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(*.f64 (cos.f64 y) (*.f64 z (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1)
(*.f64 1 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) (pow.f64 (*.f64 z (cos.f64 y)) 3/2))
(*.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) z) (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (cos.f64 y)) z)
(*.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (sqrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(exp.f64 (*.f64 3 (log.f64 (*.f64 z (cos.f64 y)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (cos.f64 y)))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(*.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) 1)
(*.f64 1 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)))
(*.f64 (cbrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))) 2) (cbrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))
(*.f64 (sqrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))) (sqrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) 2))))
(*.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3))))
(/.f64 1 (/.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3))) (neg.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3)) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2) (*.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2)) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))
(pow.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) 1)
(pow.f64 (pow.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3))) -1)
(pow.f64 (/.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))) (exp.f64 (+.f64 x (sin.f64 y)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 z) (cos.f64 y)) (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 y))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))) (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 y))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(log.f64 (*.f64 (exp.f64 x) (*.f64 (exp.f64 (sin.f64 y)) (pow.f64 (exp.f64 z) (cos.f64 y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (*.f64 (exp.f64 (sin.f64 y)) (pow.f64 (exp.f64 z) (cos.f64 y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 y)))) (pow.f64 (exp.f64 z) (cos.f64 y))))
(log.f64 (*.f64 (exp.f64 (+.f64 x (sin.f64 y))) (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (exp.f64 x)))
(log.f64 (*.f64 (*.f64 (exp.f64 (sin.f64 y)) (pow.f64 (exp.f64 z) (cos.f64 y))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (*.f64 (exp.f64 (sin.f64 y)) (pow.f64 (exp.f64 z) (cos.f64 y))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))
(exp.f64 (log.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))) 1))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(fma.f64 (*.f64 z (cos.f64 y)) 1 (+.f64 x (sin.f64 y)))
(fma.f64 x 1 (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 x 1 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(fma.f64 (sin.f64 y) 1 (+.f64 x (*.f64 z (cos.f64 y))))
(fma.f64 (+.f64 x (sin.f64 y)) 1 (*.f64 z (cos.f64 y)))
(fma.f64 1 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(fma.f64 1 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 1 x (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(fma.f64 1 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))
(fma.f64 1 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(fma.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (+.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)) (+.f64 x (sin.f64 y)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(fma.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (+.f64 x (*.f64 z (cos.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (+.f64 x (*.f64 z (cos.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z) (+.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)) (+.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (+.f64 x (*.f64 z (cos.f64 y))))
(fma.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z) (+.f64 x (sin.f64 y)))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (*.f64 z (cos.f64 y)))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) x)
(fma.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) x)
(fma.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))
(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))
(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (+.f64 x (sin.f64 y)))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x (sin.f64 y)))
Outputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(*.f64 (*.f64 (cos.f64 y) z) (neg.f64 (cbrt.f64 -1)))
(*.f64 z (neg.f64 (*.f64 (cos.f64 y) (cbrt.f64 -1))))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(*.f64 (*.f64 (cos.f64 y) z) (neg.f64 (cbrt.f64 -1)))
(*.f64 z (neg.f64 (*.f64 (cos.f64 y) (cbrt.f64 -1))))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(*.f64 (*.f64 (cos.f64 y) z) (neg.f64 (cbrt.f64 -1)))
(*.f64 z (neg.f64 (*.f64 (cos.f64 y) (cbrt.f64 -1))))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(*.f64 (*.f64 (cos.f64 y) z) (neg.f64 (cbrt.f64 -1)))
(*.f64 z (neg.f64 (*.f64 (cos.f64 y) (cbrt.f64 -1))))
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)
(fma.f64 (*.f64 -1/2 (*.f64 y y)) z z)
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 (*.f64 1/24 (pow.f64 y 4)) z))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (*.f64 (*.f64 1/24 (pow.f64 y 4)) z))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z)))
(+.f64 (*.f64 z (+.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/720 (pow.f64 y 6))) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
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(pow.f64 (*.f64 (cos.f64 y) z) 3)
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(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(log.f64 (*.f64 (exp.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (exp.f64 x)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(log.f64 (*.f64 (*.f64 (exp.f64 (sin.f64 y)) (pow.f64 (exp.f64 z) (cos.f64 y))) (exp.f64 x)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(log.f64 (*.f64 (exp.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (+.f64 1 (expm1.f64 x))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(log.f64 (*.f64 (*.f64 (exp.f64 (sin.f64 y)) (pow.f64 (exp.f64 z) (cos.f64 y))) (+.f64 1 (expm1.f64 x))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) 3))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(exp.f64 (log.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))) 1))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (*.f64 z (cos.f64 y)) 1 (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 x 1 (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 x 1 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) 1 (+.f64 x (*.f64 z (cos.f64 y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (+.f64 x (sin.f64 y)) 1 (*.f64 z (cos.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 1 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 1 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 1 x (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 1 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 1 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (*.f64 z (cos.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)) (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (+.f64 x (*.f64 z (cos.f64 y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (+.f64 x (*.f64 z (cos.f64 y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z) (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)) (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (+.f64 x (*.f64 z (cos.f64 y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z) (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (*.f64 z (cos.f64 y)))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) x)
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) x)
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x (sin.f64 y)))
0.1b
(*.f64 (cos.f64 y) (sqrt.f64 z))
Compiler

Compiled 33 to 9 computations (72.7% saved)

series10.0ms (0.1%)

Counts
2 → 37
Calls

15 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x (sin.f64 y)))
1.0ms
y
@inf
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x (sin.f64 y)))
1.0ms
z
@inf
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x (sin.f64 y)))
1.0ms
z
@0
(*.f64 (cos.f64 y) (sqrt.f64 z))
1.0ms
z
@0
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x (sin.f64 y)))

rewrite52.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
571×prod-diff_binary64
501×log-prod_binary64
344×pow-prod-down_binary64
279×pow2_binary64
235×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01027
120722
2269820
Stop Event
node limit
Counts
2 → 55
Calls
Call 1
Inputs
(*.f64 (cos.f64 y) (sqrt.f64 z))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x (sin.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (cos.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (pow.f64 (cos.f64 y) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 y) z) 1) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) 2) (cbrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x (sin.f64 y))) (exp.f64 (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 y)))) (exp.f64 (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 y) z)) (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))) 2))))))

simplify54.0ms (0.7%)

Algorithm
egg-herbie
Rules
695×fma-def_binary64
343×log-prod_binary64
324×unswap-sqr_binary64
200×associate-/l*_binary64
200×sqr-pow_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01711135
14211091
214431076
347051050
Stop Event
node limit
Counts
92 → 102
Calls
Call 1
Inputs
(sqrt.f64 z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 z))) (sqrt.f64 z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 z))) (+.f64 (sqrt.f64 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 z)))))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) (sqrt.f64 z))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 z))) (+.f64 (sqrt.f64 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 z))))))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 0 (*.f64 (cos.f64 y) (sqrt.f64 z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (cos.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (cos.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)))) 1)
(pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 1)
(pow.f64 (*.f64 z (pow.f64 (cos.f64 y) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 2)
(sqrt.f64 (*.f64 z (pow.f64 (cos.f64 y) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)))) 2))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))
(+.f64 0 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 (*.f64 (*.f64 (cos.f64 y) z) 1) (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))) 1)
(*.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) 1)
(*.f64 1 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(*.f64 (cbrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) 2) (cbrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))
(*.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))
(pow.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) 1)
(pow.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) 2)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))))
(log.f64 (*.f64 (exp.f64 (+.f64 x (sin.f64 y))) (exp.f64 (*.f64 (cos.f64 y) z))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 y)))) (exp.f64 (*.f64 (cos.f64 y) z))))
(log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 y) z)) (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 y))))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))
(exp.f64 (log.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))) 2))
Outputs
(sqrt.f64 z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 z))) (sqrt.f64 z))
(fma.f64 -1/2 (*.f64 (sqrt.f64 z) (*.f64 y y)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 z))) (+.f64 (sqrt.f64 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 z)))))
(+.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 z) (*.f64 y y)) (sqrt.f64 z)) (*.f64 1/24 (*.f64 (sqrt.f64 z) (pow.f64 y 4))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 z) (*.f64 y y)) (fma.f64 1/24 (*.f64 (sqrt.f64 z) (pow.f64 y 4)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (+.f64 (*.f64 -1/2 (*.f64 y y)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) (sqrt.f64 z))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 z))) (+.f64 (sqrt.f64 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 z))))))
(fma.f64 -1/720 (*.f64 (sqrt.f64 z) (pow.f64 y 6)) (+.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 z) (*.f64 y y)) (sqrt.f64 z)) (*.f64 1/24 (*.f64 (sqrt.f64 z) (pow.f64 y 4)))))
(+.f64 (fma.f64 1/24 (*.f64 (sqrt.f64 z) (pow.f64 y 4)) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (+.f64 (*.f64 -1/720 (pow.f64 y 6)) (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 (sqrt.f64 z) (fma.f64 -1/720 (pow.f64 y 6) (*.f64 -1/2 (*.f64 y y))) (*.f64 (sqrt.f64 z) (fma.f64 1/24 (pow.f64 y 4) 1)))
(*.f64 (sqrt.f64 z) (+.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (fma.f64 -1/720 (pow.f64 y 6) (*.f64 -1/2 (*.f64 y y)))))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
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eval130.0ms (1.8%)

Compiler

Compiled 10088 to 3399 computations (66.3% saved)

prune118.0ms (1.6%)

Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New6019610
Fresh639
Picked101
Done055
Total60817625
Error
0.0b
Counts
625 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
0.5b
(+.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) (sin.f64 y)) x)
0.0b
(+.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)
34.1b
(+.f64 (+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))) (sin.f64 y)) x)
10.8b
(+.f64 (+.f64 z (sin.f64 y)) x)
25.9b
(+.f64 (+.f64 y z) x)
31.8b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
0.2b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))
18.1b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
20.1b
(+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
24.0b
(+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 z 3)))
30.2b
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
9.5b
(+.f64 (*.f64 (cos.f64 y) z) x)
25.7b
(+.f64 (sin.f64 y) x)
19.8b
(+.f64 z x)
38.9b
(*.f64 (cos.f64 y) z)
34.7b
x
Compiler

Compiled 331 to 224 computations (32.3% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
0.2b
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
0.2b
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
0.3b
(cbrt.f64 (cos.f64 y))
Compiler

Compiled 57 to 22 computations (61.4% saved)

series21.0ms (0.3%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
3.0ms
y
@0
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
2.0ms
z
@0
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
2.0ms
y
@-inf
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
2.0ms
z
@0
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))

rewrite56.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
766×pow1_binary64
705×add-log-exp_binary64
705×log1p-expm1-u_binary64
705×expm1-log1p-u_binary64
688×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
118130
2201130
Stop Event
node limit
Counts
4 → 62
Calls
Call 1
Inputs
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 1/6) (*.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) z) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (cos.f64 y) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))))))

simplify53.0ms (0.7%)

Algorithm
egg-herbie
Rules
592×distribute-rgt-in_binary64
557×distribute-lft-in_binary64
526×fma-def_binary64
419×log-prod_binary64
242×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01811323
13981228
213691141
341801133
Stop Event
node limit
Counts
134 → 133
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 (*.f64 -23/6480 (pow.f64 y 6)) (+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (+.f64 (*.f64 -1/1701 (pow.f64 y 8)) (+.f64 (*.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
z
(+.f64 z (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(+.f64 z (+.f64 (*.f64 -1/405 (*.f64 (pow.f64 y 6) z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z))))
(+.f64 (*.f64 -1/1701 (*.f64 (pow.f64 y 8) z)) (+.f64 z (+.f64 (*.f64 -1/405 (*.f64 (pow.f64 y 6) z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(-.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(fabs.f64 (cbrt.f64 (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (*.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))))
(-.f64 (+.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)) 1)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z) 1)
(pow.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) z) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)) 3)
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 z)) 2)
(sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4) (*.f64 z z)))
(log.f64 (pow.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) z))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 3)))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 2)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(cbrt.f64 (*.f64 (cos.f64 y) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) z)))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (*.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (*.f64 -1/6 (*.f64 y y))))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/72 (pow.f64 y 4) 1))
(+.f64 (*.f64 -23/6480 (pow.f64 y 6)) (+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (*.f64 -1/6 (*.f64 y y)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) 1)))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (*.f64 (*.f64 y y) -1/3))
(fma.f64 (*.f64 y y) -1/3 1)
(fma.f64 y (*.f64 y -1/3) 1)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (fma.f64 -1/3 (*.f64 y y) (*.f64 (pow.f64 y 6) -1/405)))
(+.f64 1 (fma.f64 (pow.f64 y 6) -1/405 (*.f64 y (*.f64 y -1/3))))
(fma.f64 (pow.f64 y 6) -1/405 (fma.f64 y (*.f64 y -1/3) 1))
(+.f64 1 (+.f64 (*.f64 -1/1701 (pow.f64 y 8)) (+.f64 (*.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/3 (*.f64 y y) (*.f64 (pow.f64 y 6) -1/405))))
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 (pow.f64 y 6) -1/405 (*.f64 y (*.f64 y -1/3)))))
(fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 y (*.f64 y -1/3) 1)))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
z
(+.f64 z (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(+.f64 z (*.f64 -1/3 (*.f64 (*.f64 y y) z)))
(*.f64 (fma.f64 (*.f64 y y) -1/3 1) z)
(*.f64 (fma.f64 y (*.f64 y -1/3) 1) z)
(+.f64 z (+.f64 (*.f64 -1/405 (*.f64 (pow.f64 y 6) z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z))))
(+.f64 z (fma.f64 -1/405 (*.f64 (pow.f64 y 6) z) (*.f64 -1/3 (*.f64 (*.f64 y y) z))))
(+.f64 z (*.f64 z (fma.f64 (pow.f64 y 6) -1/405 (*.f64 y (*.f64 y -1/3)))))
(*.f64 z (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 y (*.f64 y -1/3) 1)))
(fma.f64 z (fma.f64 (pow.f64 y 6) -1/405 (*.f64 y (*.f64 y -1/3))) z)
(+.f64 (*.f64 -1/1701 (*.f64 (pow.f64 y 8) z)) (+.f64 z (+.f64 (*.f64 -1/405 (*.f64 (pow.f64 y 6) z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))))
(fma.f64 -1/1701 (*.f64 (pow.f64 y 8) z) (+.f64 z (fma.f64 -1/405 (*.f64 (pow.f64 y 6) z) (*.f64 -1/3 (*.f64 (*.f64 y y) z)))))
(+.f64 (*.f64 z (fma.f64 (pow.f64 y 6) -1/405 (*.f64 y (*.f64 y -1/3)))) (fma.f64 -1/1701 (*.f64 (pow.f64 y 8) z) z))
(+.f64 z (*.f64 z (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 y (*.f64 y -1/3) (*.f64 -1/1701 (pow.f64 y 8))))))
(*.f64 z (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 y (*.f64 y -1/3) 1))))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) z)
(fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)
(*.f64 z (fma.f64 (*.f64 y -1/2) y 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) z) z) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))
(fma.f64 (*.f64 y (*.f64 y z)) -1/2 (fma.f64 1/24 (*.f64 (pow.f64 y 4) z) z))
(*.f64 z (+.f64 (*.f64 y (*.f64 y -1/2)) (fma.f64 (pow.f64 y 4) 1/24 1)))
(*.f64 z (+.f64 (fma.f64 (*.f64 y -1/2) y 1) (*.f64 (pow.f64 y 4) 1/24)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 -1/720 (*.f64 (pow.f64 y 6) z) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 (*.f64 y (*.f64 y z)) -1/2 (fma.f64 (*.f64 (pow.f64 y 6) z) -1/720 (fma.f64 1/24 (*.f64 (pow.f64 y 4) z) z)))
(fma.f64 z (fma.f64 (*.f64 y y) -1/2 (*.f64 (pow.f64 y 6) -1/720)) (fma.f64 (pow.f64 y 4) (*.f64 z 1/24) z))
(*.f64 z (+.f64 (fma.f64 (pow.f64 y 4) 1/24 1) (fma.f64 (*.f64 y y) -1/2 (*.f64 (pow.f64 y 6) -1/720))))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(-.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(cbrt.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(pow.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/6) 4)
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(cbrt.f64 (cos.f64 y))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (cos.f64 y))
(fabs.f64 (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 (cos.f64 y) 1/6) (*.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(-.f64 (+.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)) 1)
(+.f64 1 (-.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z) 1)
(+.f64 1 (-.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) z) 1/3)
(cbrt.f64 (*.f64 z (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 3)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)) 3)
(+.f64 1 (-.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 z)) 2)
(+.f64 1 (-.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4) (*.f64 z z)))
(+.f64 1 (-.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(+.f64 1 (-.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) z))
(cbrt.f64 (*.f64 z (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 3)))
(cbrt.f64 (*.f64 z (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (*.f64 z (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))
(+.f64 1 (-.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))
(+.f64 1 (-.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))
(+.f64 1 (-.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(*.f64 (cos.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 (cos.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(*.f64 (cos.f64 y) z)
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (*.f64 (cos.f64 y) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) z)))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)

localize5.0ms (0.1%)

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 (cos.f64 y) z) x)
0.1b
(*.f64 (cos.f64 y) z)
Compiler

Compiled 18 to 6 computations (66.7% saved)

series5.0ms (0.1%)

Counts
2 → 31
Calls

15 calls:

TimeVariablePointExpression
1.0ms
z
@inf
(+.f64 (*.f64 (cos.f64 y) z) x)
0.0ms
y
@0
(+.f64 (*.f64 (cos.f64 y) z) x)
0.0ms
y
@0
(*.f64 (cos.f64 y) z)
0.0ms
z
@-inf
(+.f64 (*.f64 (cos.f64 y) z) x)
0.0ms
x
@-inf
(+.f64 (*.f64 (cos.f64 y) z) x)

rewrite47.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
802×pow1_binary64
741×add-log-exp_binary64
741×log1p-expm1-u_binary64
741×expm1-log1p-u_binary64
724×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114813
2199813
Stop Event
node limit
Counts
2 → 46
Calls
Call 1
Inputs
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (cos.f64 y) z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (cos.f64 y) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (cos.f64 y) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 y) z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cos.f64 y) z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) (sqrt.f64 (fma.f64 (cos.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x (-.f64 x (*.f64 (cos.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x (-.f64 x (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x (-.f64 x (*.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (cos.f64 y) (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x x)) (-.f64 (*.f64 (cos.f64 y) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x (-.f64 x (*.f64 (cos.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 x (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 y) z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) z x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 y) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) x)))))

simplify48.0ms (0.7%)

Algorithm
egg-herbie
Rules
740×fma-neg_binary64
571×fma-def_binary64
536×div-sub_binary64
318×unswap-sqr_binary64
299×log-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0131881
1333852
21176839
35812839
Stop Event
node limit
Counts
77 → 81
Calls
Call 1
Inputs
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 z x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) z)) x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) z)) x))))
x
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 z (cos.f64 y)) x)
(+.f64 (*.f64 z (cos.f64 y)) x)
(+.f64 (*.f64 z (cos.f64 y)) x)
x
(+.f64 (*.f64 z (cos.f64 y)) x)
(+.f64 (*.f64 z (cos.f64 y)) x)
(+.f64 (*.f64 z (cos.f64 y)) x)
x
(+.f64 (*.f64 z (cos.f64 y)) x)
(+.f64 (*.f64 z (cos.f64 y)) x)
(+.f64 (*.f64 z (cos.f64 y)) x)
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(-.f64 (+.f64 1 (fma.f64 (cos.f64 y) z x)) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (cos.f64 y) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (cos.f64 y) z) x)))
(*.f64 (fma.f64 (cos.f64 y) z x) 1)
(*.f64 1 (fma.f64 (cos.f64 y) z x))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z x)))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) (sqrt.f64 (fma.f64 (cos.f64 y) z x)))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x (-.f64 x (*.f64 (cos.f64 y) z))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x (-.f64 x (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x (-.f64 x (*.f64 (cos.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (cos.f64 y) (*.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x x)) (-.f64 (*.f64 (cos.f64 y) z) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x (-.f64 x (*.f64 (cos.f64 y) z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 x (*.f64 (cos.f64 y) z)))
(pow.f64 (fma.f64 (cos.f64 y) z x) 1)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z x)))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z x)))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z x)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z x)))
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(fma.f64 1 (*.f64 (cos.f64 y) z) x)
(fma.f64 1 x (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) x)
Outputs
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)
(fma.f64 (*.f64 (*.f64 -1/2 y) y) z z)
(fma.f64 z (*.f64 y (*.f64 -1/2 y)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 1/24 (*.f64 z (pow.f64 y 4))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(*.f64 z (+.f64 (*.f64 y (*.f64 -1/2 y)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (*.f64 1/24 (*.f64 z (pow.f64 y 4))))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z)))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/720 (pow.f64 y 6))) (*.f64 z (fma.f64 1/24 (pow.f64 y 4) 1)))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 z x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z x))
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) x)
(+.f64 (fma.f64 (*.f64 (*.f64 -1/2 y) y) z z) x)
(fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) z x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) z)) x)))
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) x))
(+.f64 (fma.f64 (*.f64 (*.f64 -1/2 y) y) z z) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) x))
(fma.f64 (fma.f64 1/24 (pow.f64 y 4) 1) z (fma.f64 z (*.f64 y (*.f64 -1/2 y)) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) z)) x))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) x))))
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))) x)
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/720 (pow.f64 y 6))) (fma.f64 (fma.f64 1/24 (pow.f64 y 4) 1) z x))
x
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 z (cos.f64 y)) x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 z (cos.f64 y)) x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 z (cos.f64 y)) x)
(fma.f64 z (cos.f64 y) x)
x
(+.f64 (*.f64 z (cos.f64 y)) x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 z (cos.f64 y)) x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 z (cos.f64 y)) x)
(fma.f64 z (cos.f64 y) x)
x
(+.f64 (*.f64 z (cos.f64 y)) x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 z (cos.f64 y)) x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 z (cos.f64 y)) x)
(fma.f64 z (cos.f64 y) x)
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(*.f64 z (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 z (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(*.f64 z (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 z (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(*.f64 z (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(-.f64 (+.f64 1 (fma.f64 (cos.f64 y) z x)) 1)
(fma.f64 z (cos.f64 y) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (cos.f64 y) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (cos.f64 y) z) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (fma.f64 (cos.f64 y) z (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (fma.f64 z (cos.f64 y) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) x))
(*.f64 (fma.f64 (cos.f64 y) z x) 1)
(fma.f64 z (cos.f64 y) x)
(*.f64 1 (fma.f64 (cos.f64 y) z x))
(fma.f64 z (cos.f64 y) x)
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 2))
(fma.f64 z (cos.f64 y) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z x)))
(fma.f64 z (cos.f64 y) x)
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) (sqrt.f64 (fma.f64 (cos.f64 y) z x)))
(fma.f64 z (cos.f64 y) x)
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x (-.f64 x (*.f64 (cos.f64 y) z))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (fma.f64 (cos.f64 y) z (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (fma.f64 z (cos.f64 y) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x (-.f64 x (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 1 (/.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (fma.f64 (cos.f64 y) z (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (fma.f64 z (cos.f64 y) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x (-.f64 x (*.f64 (cos.f64 y) z)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (cos.f64 y) (*.f64 z x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x x)) (-.f64 (*.f64 (cos.f64 y) z) x))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (fma.f64 (cos.f64 y) z (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (fma.f64 z (cos.f64 y) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x (-.f64 x (*.f64 (cos.f64 y) z))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (fma.f64 (cos.f64 y) z (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (fma.f64 z (cos.f64 y) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 x (*.f64 (cos.f64 y) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (fma.f64 (cos.f64 y) z (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (fma.f64 z (cos.f64 y) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) x))
(pow.f64 (fma.f64 (cos.f64 y) z x) 1)
(fma.f64 z (cos.f64 y) x)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 3) 1/3)
(fma.f64 z (cos.f64 y) x)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 3)
(fma.f64 z (cos.f64 y) x)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) 2)
(fma.f64 z (cos.f64 y) x)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 2))
(fma.f64 z (cos.f64 y) x)
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z x)))
(fma.f64 z (cos.f64 y) x)
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 3))
(fma.f64 z (cos.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z x)))
(fma.f64 z (cos.f64 y) x)
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z x)))
(fma.f64 z (cos.f64 y) x)
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z x)))
(fma.f64 z (cos.f64 y) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(fma.f64 z (cos.f64 y) x)
(fma.f64 1 (*.f64 (cos.f64 y) z) x)
(fma.f64 z (cos.f64 y) x)
(fma.f64 1 x (*.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) x)
(fma.f64 z (cos.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) x)
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) x)
(fma.f64 z (cos.f64 y) x)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
0.1b
(*.f64 (cos.f64 y) z)
Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts
1 → 7
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@0
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
0.0ms
y
@-inf
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
0.0ms
z
@-inf
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
0.0ms
y
@inf
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
0.0ms
z
@0
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))

rewrite45.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
803×pow1_binary64
742×add-log-exp_binary64
742×log1p-expm1-u_binary64
742×expm1-log1p-u_binary64
725×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11489
220019
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) z (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (cos.f64 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 y) z) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 y) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y))))))

simplify46.0ms (0.6%)

Algorithm
egg-herbie
Rules
803×fma-neg_binary64
505×associate-*l*_binary64
438×associate-*r*_binary64
438×div-sub_binary64
248×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
096750
1248635
2810545
34835545
Stop Event
node limit
Counts
42 → 56
Calls
Call 1
Inputs
z
(+.f64 y z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z)))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(-.f64 (+.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)
(*.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y)))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 1 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 1 (sin.f64 y) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y))
Outputs
z
(+.f64 y z)
(+.f64 z y)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z y))
(+.f64 z (fma.f64 -1/2 (*.f64 z (*.f64 y y)) y))
(+.f64 z (fma.f64 z (*.f64 -1/2 (*.f64 y y)) y))
(+.f64 z (fma.f64 z (*.f64 y (*.f64 y -1/2)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z)))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z y)))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 z (fma.f64 -1/2 (*.f64 z (*.f64 y y)) y)))
(fma.f64 z (*.f64 -1/2 (*.f64 y y)) (fma.f64 -1/6 (pow.f64 y 3) (+.f64 z y)))
(fma.f64 z (*.f64 y (*.f64 y -1/2)) (fma.f64 -1/6 (pow.f64 y 3) (+.f64 z y)))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(-.f64 (+.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y))) 1)
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2))
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 1 (/.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 3)
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2)
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 2))
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3))
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 1 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 1 (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y))
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y))
(+.f64 1 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 0)
(fma.f64 z (cos.f64 y) (sin.f64 y))

localize56.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) (sin.f64 y))
0.1b
(*.f64 z (cos.f64 y))
0.6b
(cbrt.f64 (*.f64 z (cos.f64 y)))
0.7b
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
Compiler

Compiled 49 to 17 computations (65.3% saved)

series26.0ms (0.4%)

Counts
3 → 39
Calls

18 calls:

TimeVariablePointExpression
14.0ms
y
@0
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
2.0ms
y
@inf
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
2.0ms
y
@-inf
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
1.0ms
z
@-inf
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
1.0ms
z
@0
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)

rewrite54.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
972×pow1_binary64
907×add-log-exp_binary64
907×log1p-expm1-u_binary64
907×expm1-log1p-u_binary64
99×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01025
121623
2252423
Stop Event
node limit
Counts
3 → 91
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) (sin.f64 y))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (cos.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(cos.f64 y) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (cos.f64 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) z (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (cos.f64 y)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 y) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))))))

simplify52.0ms (0.7%)

Algorithm
egg-herbie
Rules
849×fma-def_binary64
582×distribute-rgt-in_binary64
555×distribute-lft-in_binary64
455×times-frac_binary64
193×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02731716
17051648
223891611
Stop Event
node limit
Counts
130 → 137
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) z))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z)))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3))))) (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (pow.f64 y 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z))))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(pow.f64 z 1/3)
(+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2)))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 6) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 (pow.f64 1 1/3) z)
(+.f64 y (*.f64 (pow.f64 1 1/3) z))
(+.f64 y (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) z)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) z))))
(+.f64 (sin.f64 y) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)))
(+.f64 (sin.f64 y) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)))
(+.f64 (sin.f64 y) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)))
(+.f64 (sin.f64 y) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) (sin.f64 y))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) (sin.f64 y))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) (sin.f64 y))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(*.f64 1 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (cos.f64 y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (*.f64 z (cos.f64 y)) 1/6)) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) 1)
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)
(*.f64 1 (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3))
(pow.f64 (*.f64 z (cos.f64 y)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1)
(*.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y)))
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 z (*.f64 (cos.f64 y) (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2))) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2)
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (sin.f64 y))
(fma.f64 1 (*.f64 z (cos.f64 y)) (sin.f64 y))
(fma.f64 1 (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (sin.f64 y))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
Outputs
(*.f64 (pow.f64 1 1/3) z)
z
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) z))
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z)
(fma.f64 z (*.f64 -1/2 (*.f64 y y)) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z)))
(fma.f64 (*.f64 z -1/2) (*.f64 y y) (fma.f64 (+.f64 (*.f64 1/3 (*.f64 z -1/24)) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (*.f64 (*.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (*.f64 z 1/18))) (pow.f64 y 4) z))
(fma.f64 (*.f64 z -1/2) (*.f64 y y) (fma.f64 (fma.f64 1/3 (*.f64 z -1/24) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (*.f64 z (*.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (*.f64 z 1/18))) (pow.f64 y 4) z))
(fma.f64 (fma.f64 z 1/18 (fma.f64 (cbrt.f64 z) (fma.f64 (*.f64 z -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (*.f64 z -1/72))) (pow.f64 y 4) (fma.f64 z (*.f64 -1/2 (*.f64 y y)) z))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3))))) (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (pow.f64 y 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z))))
(fma.f64 (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 z)) (-.f64 (*.f64 z -1/720) (fma.f64 -1/216 z (*.f64 -1/3 (*.f64 z -1/24))))) (*.f64 (*.f64 (*.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) -1/9)) (+.f64 (*.f64 1/3 (-.f64 (*.f64 z -1/720) (fma.f64 -1/216 z (*.f64 -1/3 (*.f64 z -1/24))))) (fma.f64 -1/6 (*.f64 (cbrt.f64 z) (fma.f64 2/3 (*.f64 (*.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z))))) (*.f64 -1/9 (*.f64 z -1/24))))) (pow.f64 y 6) (fma.f64 (*.f64 z -1/2) (*.f64 y y) (fma.f64 (+.f64 (*.f64 1/3 (*.f64 z -1/24)) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (*.f64 (*.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (*.f64 z 1/18))) (pow.f64 y 4) z)))
(fma.f64 (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 z)) (-.f64 (*.f64 z 7/2160) (*.f64 z 1/72))) (*.f64 (*.f64 z -1/24) (*.f64 (cbrt.f64 (/.f64 1 z)) -1/9))) (fma.f64 1/3 (-.f64 (*.f64 z 7/2160) (*.f64 z 1/72)) (fma.f64 (*.f64 -1/6 (cbrt.f64 z)) (fma.f64 2/3 (*.f64 z (*.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (*.f64 (*.f64 z -1/24) -1/9)))) (pow.f64 y 6) (fma.f64 (*.f64 z -1/2) (*.f64 y y) (fma.f64 (fma.f64 1/3 (*.f64 z -1/24) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (*.f64 z (*.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (*.f64 z 1/18))) (pow.f64 y 4) z)))
(fma.f64 (fma.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (/.f64 1 z)) (+.f64 (*.f64 2/3 (*.f64 z -23/2160)) (*.f64 (*.f64 -1/9 z) -1/24))) (fma.f64 (cbrt.f64 z) (*.f64 (fma.f64 (*.f64 z -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) -1/6) (fma.f64 (*.f64 z -1/24) -1/9 (*.f64 1/3 (*.f64 z -23/2160))))) (pow.f64 y 6) (fma.f64 (fma.f64 z 1/18 (fma.f64 (cbrt.f64 z) (fma.f64 (*.f64 z -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (*.f64 z -1/72))) (pow.f64 y 4) (fma.f64 z (*.f64 -1/2 (*.f64 y y)) z)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(pow.f64 z 1/3)
(cbrt.f64 z)
(+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))
(+.f64 (cbrt.f64 z) (*.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z))))
(fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z)) (cbrt.f64 z))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2)))))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (*.f64 (*.f64 z -1/24) (pow.f64 y 4))) (+.f64 (cbrt.f64 z) (*.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z)))))
(fma.f64 1/3 (*.f64 (*.f64 z -1/24) (*.f64 (pow.f64 y 4) (cbrt.f64 (/.f64 1 (*.f64 z z))))) (fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z)) (cbrt.f64 z)))
(fma.f64 (*.f64 (pow.f64 y 4) (cbrt.f64 (/.f64 1 (*.f64 z z)))) (*.f64 z -1/72) (fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z)) (cbrt.f64 z)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 6) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (*.f64 (-.f64 (*.f64 z -1/720) (fma.f64 -1/216 z (*.f64 -1/3 (*.f64 z -1/24)))) (pow.f64 y 6))) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (*.f64 (*.f64 z -1/24) (pow.f64 y 4))) (+.f64 (cbrt.f64 z) (*.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z))))))
(+.f64 (fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z)) (cbrt.f64 z)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 z z)))) (+.f64 (*.f64 (-.f64 (*.f64 z 7/2160) (*.f64 z 1/72)) (pow.f64 y 6)) (*.f64 z (*.f64 -1/24 (pow.f64 y 4))))))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (fma.f64 (*.f64 z -23/2160) (pow.f64 y 6) (*.f64 (*.f64 z -1/24) (pow.f64 y 4)))) (fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z)) (cbrt.f64 z)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 (pow.f64 1 1/3) z)
z
(+.f64 y (*.f64 (pow.f64 1 1/3) z))
(+.f64 z y)
(+.f64 y (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) z)))
(+.f64 y (fma.f64 (*.f64 z -1/2) (*.f64 y y) z))
(+.f64 z (fma.f64 z (*.f64 -1/2 (*.f64 y y)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) z))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y (fma.f64 (*.f64 z -1/2) (*.f64 y y) z)))
(+.f64 (fma.f64 (*.f64 z -1/2) (*.f64 y y) z) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (fma.f64 z (*.f64 -1/2 (*.f64 y y)) z) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (sin.f64 y) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (sin.f64 y) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (sin.f64 y) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (sin.f64 y) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 z (cos.f64 y))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(*.f64 z (cos.f64 y))
(*.f64 1 (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 (cbrt.f64 z) (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 z (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))
(*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 z) (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (*.f64 z (cos.f64 y)) 1/6)) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(*.f64 z (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))
(*.f64 z (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 1 (cbrt.f64 (*.f64 z (cos.f64 y))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(pow.f64 (*.f64 z (cos.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 2)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) 1)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(-.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(*.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 1 (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 z (*.f64 (cos.f64 y) (sin.f64 y))))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2))) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3) 1/3)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 3)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 1 (*.f64 z (cos.f64 y)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 1 (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))

eval156.0ms (2.2%)

Compiler

Compiled 9439 to 4249 computations (55% saved)

prune102.0ms (1.4%)

Pruning

20 alts after pruning (13 fresh and 7 done)

PrunedKeptTotal
New49510505
Fresh437
Picked101
Done279
Total50220522
Error
0b
Counts
522 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
9.5b
(fma.f64 (cos.f64 y) z x)
9.9b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) x)
31.8b
(+.f64 (+.f64 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)) (sin.f64 y)) x)
18.1b
(+.f64 (+.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (sin.f64 y)) x)
0.0b
(+.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)
34.1b
(+.f64 (+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))) (sin.f64 y)) x)
25.9b
(+.f64 (+.f64 y z) x)
0.3b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (-.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)))
0.2b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))
30.2b
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
9.5b
(+.f64 (*.f64 (cos.f64 y) z) x)
25.7b
(+.f64 (sin.f64 y) x)
29.5b
(+.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)) x)
39.8b
(+.f64 z (sin.f64 y))
47.3b
(+.f64 z y)
19.8b
(+.f64 z x)
38.9b
(*.f64 (cos.f64 y) z)
54.0b
(sin.f64 y)
48.1b
z
34.7b
x
Compiler

Compiled 337 to 231 computations (31.5% saved)

localize56.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(-.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)
0.2b
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
0.3b
(cbrt.f64 (cos.f64 y))
0.5b
(+.f64 1 (cbrt.f64 (cos.f64 y)))
Compiler

Compiled 78 to 37 computations (52.6% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@0
(+.f64 1 (cbrt.f64 (cos.f64 y)))
0.0ms
y
@inf
(+.f64 1 (cbrt.f64 (cos.f64 y)))
0.0ms
y
@-inf
(+.f64 1 (cbrt.f64 (cos.f64 y)))
0.0ms
y
@0
(-.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)
0.0ms
y
@-inf
(-.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)

rewrite49.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
714×pow1_binary64
671×add-log-exp_binary64
670×log1p-expm1-u_binary64
670×expm1-log1p-u_binary64
658×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0719
115213
2208113
Stop Event
node limit
Counts
2 → 74
Calls
Call 1
Inputs
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(-.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cbrt.f64 (cos.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (cbrt.f64 (cos.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (-.f64 1 (cbrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 2) (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) (*.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (cos.f64 y)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (/.f64 1 (-.f64 1 (cbrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))) (+.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (cbrt.f64 (cos.f64 y))) (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (cos.f64 y)) (+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (-.f64 1 (cbrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (-.f64 1 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (cos.f64 y))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (neg.f64 (-.f64 1 (cbrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1) (+.f64 (cbrt.f64 (cos.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (cos.f64 y)) 1) (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1) (-.f64 1 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cbrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (cbrt.f64 (cos.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (cos.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) (+.f64 (cbrt.f64 (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) -1) (/.f64 1 (+.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) 1) (-.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) (+.f64 (cbrt.f64 (cos.f64 y)) 2)) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cbrt.f64 (cos.f64 y)) 2) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) (+.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) (-.f64 1 (*.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) -1) (+.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) -1) (-.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) (+.f64 (cbrt.f64 (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) -1)) (neg.f64 (+.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) (+.f64 (cbrt.f64 (cos.f64 y)) -1)) (+.f64 (cbrt.f64 (cos.f64 y)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) (+.f64 (cbrt.f64 (cos.f64 y)) -1))) (-.f64 1 (+.f64 (cbrt.f64 (cos.f64 y)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (cbrt.f64 (cos.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 2) (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) -1)))))

simplify46.0ms (0.6%)

Algorithm
egg-herbie
Rules
917×times-frac_binary64
513×distribute-rgt-in_binary64
462×fma-neg_binary64
461×distribute-lft-in_binary64
406×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01711265
13961213
216321206
Stop Event
node limit
Counts
98 → 110
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 2 (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 (*.f64 -23/6480 (pow.f64 y 6)) (+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 2 (*.f64 -1/6 (pow.f64 y 2)))))
(+.f64 1 (pow.f64 (cos.f64 y) 1/3))
(+.f64 1 (pow.f64 (cos.f64 y) 1/3))
(+.f64 1 (pow.f64 (cos.f64 y) 1/3))
(+.f64 1 (pow.f64 (cos.f64 y) 1/3))
(+.f64 (pow.f64 (cos.f64 y) 1/3) 1)
(+.f64 (pow.f64 (cos.f64 y) 1/3) 1)
(+.f64 (pow.f64 (cos.f64 y) 1/3) 1)
(+.f64 (pow.f64 (cos.f64 y) 1/3) 1)
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 (*.f64 -23/6480 (pow.f64 y 6)) (+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(-.f64 (+.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (cbrt.f64 (cos.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (-.f64 1 (cbrt.f64 (cos.f64 y)))))
(*.f64 1 (+.f64 1 (cbrt.f64 (cos.f64 y))))
(*.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 2) (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 1))
(*.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)))
(*.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) (*.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) 1))
(*.f64 (+.f64 1 (cos.f64 y)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y))))))
(*.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (/.f64 1 (-.f64 1 (cbrt.f64 (cos.f64 y)))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))) (+.f64 1 (cos.f64 y))))
(/.f64 1 (/.f64 (-.f64 1 (cbrt.f64 (cos.f64 y))) (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(/.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))
(/.f64 (+.f64 1 (cos.f64 y)) (+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (-.f64 1 (cbrt.f64 (cos.f64 y)))))
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (-.f64 1 (cbrt.f64 (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 1 (cos.f64 y))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (neg.f64 (-.f64 1 (cbrt.f64 (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 (*.f64 (+.f64 1 (cos.f64 y)) 1) (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1) (-.f64 1 (cbrt.f64 (cos.f64 y))))
(pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 3)
(pow.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) 2)
(pow.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2))
(log.f64 (exp.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))))
(cbrt.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3))
(expm1.f64 (log.f64 (+.f64 (cbrt.f64 (cos.f64 y)) 2)))
(log1p.f64 (expm1.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))))
(exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(fma.f64 1 (cbrt.f64 (cos.f64 y)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))) 1)
(fma.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6) 1)
(+.f64 1 (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(+.f64 1 (*.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) 1))
(+.f64 (cbrt.f64 (cos.f64 y)) 0)
(+.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) -1)
(+.f64 -1 (+.f64 1 (cbrt.f64 (cos.f64 y))))
(+.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) 1)
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) (+.f64 (cbrt.f64 (cos.f64 y)) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) -1) (/.f64 1 (+.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) 1) (-.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) (+.f64 (cbrt.f64 (cos.f64 y)) 2)) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (cbrt.f64 (cos.f64 y)) 2) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) (+.f64 (cbrt.f64 (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) (-.f64 1 (*.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) -1) (+.f64 (cbrt.f64 (cos.f64 y)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) -1) (-.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) (+.f64 (cbrt.f64 (cos.f64 y)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) -1)) (neg.f64 (+.f64 (cbrt.f64 (cos.f64 y)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) (+.f64 (cbrt.f64 (cos.f64 y)) -1)) (+.f64 (cbrt.f64 (cos.f64 y)) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) (+.f64 (cbrt.f64 (cos.f64 y)) -1))) (-.f64 1 (+.f64 (cbrt.f64 (cos.f64 y)) -1)))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(fma.f64 1 (+.f64 1 (cbrt.f64 (cos.f64 y))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 2) (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) -1)
Outputs
2
(+.f64 2 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 2 (*.f64 -1/6 (*.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 2)
(+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 2 (*.f64 -1/6 (pow.f64 y 2))))
(fma.f64 -1/72 (pow.f64 y 4) (+.f64 2 (*.f64 -1/6 (*.f64 y y))))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 2))
(+.f64 (*.f64 -23/6480 (pow.f64 y 6)) (+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 2 (*.f64 -1/6 (pow.f64 y 2)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (+.f64 2 (*.f64 -1/6 (*.f64 y y)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 2)))
(+.f64 1 (pow.f64 (cos.f64 y) 1/3))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(+.f64 1 (pow.f64 (cos.f64 y) 1/3))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(+.f64 1 (pow.f64 (cos.f64 y) 1/3))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(+.f64 1 (pow.f64 (cos.f64 y) 1/3))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(+.f64 (pow.f64 (cos.f64 y) 1/3) 1)
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(+.f64 (pow.f64 (cos.f64 y) 1/3) 1)
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(+.f64 (pow.f64 (cos.f64 y) 1/3) 1)
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(+.f64 (pow.f64 (cos.f64 y) 1/3) 1)
(+.f64 1 (cbrt.f64 (cos.f64 y)))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (*.f64 -1/6 (*.f64 y y)) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(fma.f64 -1/72 (pow.f64 y 4) (+.f64 (*.f64 -1/6 (*.f64 y y)) 1))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1))
(+.f64 (*.f64 -23/6480 (pow.f64 y 6)) (+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (+.f64 (*.f64 -1/6 (*.f64 y y)) 1)))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1)))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(-.f64 (+.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(-.f64 (/.f64 1 (-.f64 1 (cbrt.f64 (cos.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (-.f64 1 (cbrt.f64 (cos.f64 y)))))
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (-.f64 1 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) -1) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 y)) 2/3)) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(*.f64 1 (+.f64 1 (cbrt.f64 (cos.f64 y))))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 2))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 2) (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 1))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) (*.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) 1))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (+.f64 1 (cos.f64 y)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y))))))
(/.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))
(*.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (/.f64 1 (-.f64 1 (cbrt.f64 (cos.f64 y)))))
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (-.f64 1 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) -1) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 y)) 2/3)) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))) (+.f64 1 (cos.f64 y))))
(/.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))
(/.f64 1 (/.f64 (-.f64 1 (cbrt.f64 (cos.f64 y))) (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (-.f64 1 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) -1) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 y)) 2/3)) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))
(/.f64 (+.f64 1 (cos.f64 y)) (+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (-.f64 1 (cbrt.f64 (cos.f64 y)))))
(/.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (-.f64 1 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) -1) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 y)) 2/3)) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 (neg.f64 (+.f64 1 (cos.f64 y))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y))))))
(/.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (neg.f64 (-.f64 1 (cbrt.f64 (cos.f64 y)))))
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (-.f64 1 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) -1) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 y)) 2/3)) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (-.f64 1 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) -1) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 y)) 2/3)) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 (*.f64 (+.f64 1 (cos.f64 y)) 1) (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))
(/.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1) (-.f64 1 (cbrt.f64 (cos.f64 y))))
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (-.f64 1 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) -1) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 y)) 2/3)) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 3)
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(pow.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) 2)
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(pow.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) 1/3)
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(sqrt.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(log.f64 (exp.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(expm1.f64 (log.f64 (+.f64 (cbrt.f64 (cos.f64 y)) 2)))
(expm1.f64 (log.f64 (+.f64 2 (cbrt.f64 (cos.f64 y)))))
(log1p.f64 (expm1.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(fma.f64 1 (cbrt.f64 (cos.f64 y)) 1)
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))) 1)
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(fma.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6) 1)
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(+.f64 1 (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(cbrt.f64 (cos.f64 y))
(+.f64 1 (*.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) 1))
(cbrt.f64 (cos.f64 y))
(+.f64 (cbrt.f64 (cos.f64 y)) 0)
(cbrt.f64 (cos.f64 y))
(+.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) -1)
(cbrt.f64 (cos.f64 y))
(+.f64 -1 (+.f64 1 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(+.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(cbrt.f64 (cos.f64 y))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) (+.f64 (cbrt.f64 (cos.f64 y)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3)) (/.f64 1 (+.f64 (+.f64 2 (cbrt.f64 (cos.f64 y))) (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3)) (+.f64 2 (+.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) -1) (/.f64 1 (+.f64 (cbrt.f64 (cos.f64 y)) 2)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) 1) (+.f64 2 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) (+.f64 2 (cbrt.f64 (cos.f64 y))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) (-.f64 -2 (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) 1) (-.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) 1))
(cbrt.f64 (cos.f64 y))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) (+.f64 (cbrt.f64 (cos.f64 y)) 2)) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3)) (/.f64 1 (+.f64 (+.f64 2 (cbrt.f64 (cos.f64 y))) (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3)) (+.f64 2 (+.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2))))
(/.f64 1 (/.f64 (+.f64 (cbrt.f64 (cos.f64 y)) 2) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) -1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) 1) (+.f64 2 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) (+.f64 2 (cbrt.f64 (cos.f64 y))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) (-.f64 -2 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) (+.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3)) (/.f64 1 (+.f64 (+.f64 2 (cbrt.f64 (cos.f64 y))) (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3)) (+.f64 2 (+.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) (-.f64 1 (*.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3)) (/.f64 1 (+.f64 (+.f64 2 (cbrt.f64 (cos.f64 y))) (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3)) (+.f64 2 (+.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) -1) (+.f64 (cbrt.f64 (cos.f64 y)) 2))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) 1) (+.f64 2 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) (+.f64 2 (cbrt.f64 (cos.f64 y))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) (-.f64 -2 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) -1) (-.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) -1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) 1) (+.f64 2 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) (+.f64 2 (cbrt.f64 (cos.f64 y))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) (-.f64 -2 (cbrt.f64 (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) (+.f64 (cbrt.f64 (cos.f64 y)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3)) (/.f64 1 (+.f64 (+.f64 2 (cbrt.f64 (cos.f64 y))) (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3)) (+.f64 2 (+.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) -1)) (neg.f64 (+.f64 (cbrt.f64 (cos.f64 y)) 2)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) 1) (+.f64 2 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) (+.f64 2 (cbrt.f64 (cos.f64 y))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) (-.f64 -2 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) (+.f64 (cbrt.f64 (cos.f64 y)) -1)) (+.f64 (cbrt.f64 (cos.f64 y)) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) (-.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) (+.f64 -1 (+.f64 (cbrt.f64 (cos.f64 y)) -1)))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) (+.f64 (cbrt.f64 (cos.f64 y)) -1))) (-.f64 1 (+.f64 (cbrt.f64 (cos.f64 y)) -1)))
(/.f64 (+.f64 1 (*.f64 (-.f64 1 (cbrt.f64 (cos.f64 y))) (+.f64 (cbrt.f64 (cos.f64 y)) -1))) (-.f64 2 (cbrt.f64 (cos.f64 y))))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(cbrt.f64 (cos.f64 y))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (cos.f64 y))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(cbrt.f64 (cos.f64 y))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(fma.f64 1 (+.f64 1 (cbrt.f64 (cos.f64 y))) -1)
(cbrt.f64 (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 2) (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) -1)
(cbrt.f64 (cos.f64 y))
(fma.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) -1)
(cbrt.f64 (cos.f64 y))

localize3.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize33.0ms (0.5%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (cos.f64 y) z)
Compiler

Compiled 11 to 5 computations (54.5% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 (cos.f64 y) z x)
Compiler

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
z
@-inf
(fma.f64 (cos.f64 y) z x)
0.0ms
y
@0
(fma.f64 (cos.f64 y) z x)
0.0ms
x
@-inf
(fma.f64 (cos.f64 y) z x)
0.0ms
z
@inf
(fma.f64 (cos.f64 y) z x)
0.0ms
y
@inf
(fma.f64 (cos.f64 y) z x)

rewrite37.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
566×pow1_binary64
516×add-log-exp_binary64
516×log1p-expm1-u_binary64
516×expm1-log1p-u_binary64
503×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11177
213777
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 y) z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (cos.f64 y) z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 y) z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cos.f64 y) z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) (sqrt.f64 (fma.f64 (cos.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 y) z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z)) (*.f64 x x)) (-.f64 (*.f64 (cos.f64 y) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 y) z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 y) z x)))))))

simplify57.0ms (0.8%)

Algorithm
egg-herbie
Rules
554×fma-neg_binary64
435×times-frac_binary64
432×associate-*l*_binary64
402×log-prod_binary64
385×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
074462
1200462
2737448
33767448
47500448
Stop Event
node limit
Counts
57 → 40
Calls
Call 1
Inputs
(+.f64 z x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) z)) x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) z)) x))))
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
x
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
x
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
x
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (*.f64 (cos.f64 y) z) 1) x)
(-.f64 (+.f64 1 (fma.f64 (cos.f64 y) z x)) 1)
(*.f64 (fma.f64 (cos.f64 y) z x) 1)
(*.f64 1 (fma.f64 (cos.f64 y) z x))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z x)))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) (sqrt.f64 (fma.f64 (cos.f64 y) z x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 y) z) x))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z)) (*.f64 x x)) (-.f64 (*.f64 (cos.f64 y) z) x))
(pow.f64 (fma.f64 (cos.f64 y) z x) 1)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z x)))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z x)))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z x)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z x)))
Outputs
(+.f64 z x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z x))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z x))
(fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) z x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) z)) x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) x)))
(+.f64 (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) x) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 (fma.f64 1/24 (pow.f64 y 4) 1) z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) z)) x))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) x))))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/720 (pow.f64 y 6))) (fma.f64 (fma.f64 1/24 (pow.f64 y 4) 1) z x))
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
x
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
x
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
x
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(+.f64 x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(+.f64 (*.f64 (*.f64 (cos.f64 y) z) 1) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(-.f64 (+.f64 1 (fma.f64 (cos.f64 y) z x)) 1)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(*.f64 (fma.f64 (cos.f64 y) z x) 1)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(*.f64 1 (fma.f64 (cos.f64 y) z x))
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 2))
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z x)))
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) (sqrt.f64 (fma.f64 (cos.f64 y) z x)))
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 y) z) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 x 3)) (fma.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y)) (*.f64 x (-.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 z (cos.f64 y))) (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) (*.f64 z z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) x))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z)) (*.f64 x x)) (-.f64 (*.f64 (cos.f64 y) z) x))
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(pow.f64 (fma.f64 (cos.f64 y) z x) 1)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 3) 1/3)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 3)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) 2)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 2))
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z x)))
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 3))
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z x)))
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z x)))
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z x)))
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) x)
0.1b
(*.f64 (cos.f64 y) z)
0.6b
(cbrt.f64 (*.f64 (cos.f64 y) z))
0.7b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
Compiler

Compiled 34 to 12 computations (64.7% saved)

series31.0ms (0.4%)

Counts
3 → 51
Calls

21 calls:

TimeVariablePointExpression
23.0ms
x
@-inf
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) x)
1.0ms
x
@0
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) x)
1.0ms
y
@0
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
1.0ms
y
@0
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) x)
0.0ms
z
@-inf
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)

rewrite53.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
971×pow1_binary64
906×add-log-exp_binary64
906×log1p-expm1-u_binary64
906×expm1-log1p-u_binary64
99×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
121621
2252121
Stop Event
node limit
Counts
3 → 91
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(cbrt.f64 (*.f64 (cos.f64 y) z))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) 3) (cbrt.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) 1) (cbrt.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (cos.f64 y))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/6)) (pow.f64 (*.f64 (cos.f64 y) z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) (pow.f64 (*.f64 (cos.f64 y) z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) z) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (cos.f64 y) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (cos.f64 y) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 y) z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cos.f64 y) z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) (sqrt.f64 (fma.f64 (cos.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x (-.f64 x (*.f64 (cos.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x (-.f64 x (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x (-.f64 x (*.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (cos.f64 y) (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x x)) (-.f64 (*.f64 (cos.f64 y) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x (-.f64 x (*.f64 (cos.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 x (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 y) z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) z x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 y) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (cos.f64 y) z))))))

simplify65.0ms (0.9%)

Algorithm
egg-herbie
Rules
790×times-frac_binary64
582×distribute-rgt-in_binary64
555×distribute-lft-in_binary64
202×cancel-sign-sub-inv_binary64
192×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02701856
17071768
223771721
Stop Event
node limit
Counts
142 → 141
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) z))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z)))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3))))) (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (pow.f64 y 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z))))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(pow.f64 z 1/3)
(+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2)))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 6) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(+.f64 (*.f64 (pow.f64 1 1/3) z) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (pow.f64 1 1/3) z) x))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (+.f64 (*.f64 (pow.f64 1 1/3) z) x)))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3))))) (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (pow.f64 y 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (+.f64 (*.f64 (pow.f64 1 1/3) z) x))))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x)
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x)
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x)
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x)
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x)
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x)
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x)
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x)
x
x
x
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x)
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x)
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x)
x
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x)
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x)
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x)
x
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x)
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x)
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1)
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))
(*.f64 1 (*.f64 (cos.f64 y) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)))
(*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) 3) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) 3))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) 1) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (cos.f64 y))) (cbrt.f64 z))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/6)) (pow.f64 (*.f64 (cos.f64 y) z) 1/6))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))) 1)
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 1)
(*.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) (pow.f64 (*.f64 (cos.f64 y) z) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1/3))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z x))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (cos.f64 y) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (cos.f64 y) z) x)))
(*.f64 (fma.f64 (cos.f64 y) z x) 1)
(*.f64 1 (fma.f64 (cos.f64 y) z x))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z x)))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) (sqrt.f64 (fma.f64 (cos.f64 y) z x)))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x (-.f64 x (*.f64 (cos.f64 y) z))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x (-.f64 x (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x (-.f64 x (*.f64 (cos.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (cos.f64 y) (*.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x x)) (-.f64 (*.f64 (cos.f64 y) z) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x (-.f64 x (*.f64 (cos.f64 y) z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 x (*.f64 (cos.f64 y) z)))
(pow.f64 (fma.f64 (cos.f64 y) z x) 1)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z x))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z x)))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z x)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z x)))
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(fma.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) x)
(fma.f64 1 (*.f64 (cos.f64 y) z) x)
(fma.f64 1 x (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (cos.f64 y) z))
Outputs
(*.f64 (pow.f64 1 1/3) z)
z
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) z))
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z)))
(fma.f64 (*.f64 z -1/2) (*.f64 y y) (fma.f64 (+.f64 (*.f64 1/3 (*.f64 z -1/24)) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (*.f64 (*.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (*.f64 z 1/18))) (pow.f64 y 4) z))
(fma.f64 (*.f64 z -1/2) (*.f64 y y) (fma.f64 (fma.f64 1/3 (*.f64 z -1/24) (fma.f64 (fma.f64 2/3 (*.f64 z (*.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z) (*.f64 z 1/18))) (pow.f64 y 4) z))
(fma.f64 (*.f64 z -1/2) (*.f64 y y) (fma.f64 (+.f64 (*.f64 z -1/72) (fma.f64 (fma.f64 2/3 (*.f64 (*.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z) (*.f64 z 1/18))) (pow.f64 y 4) z))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3))))) (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (pow.f64 y 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z))))
(fma.f64 (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 z)) (-.f64 (*.f64 z -1/720) (fma.f64 -1/216 z (*.f64 -1/3 (*.f64 z -1/24))))) (*.f64 (*.f64 (*.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) -1/9)) (+.f64 (*.f64 1/3 (-.f64 (*.f64 z -1/720) (fma.f64 -1/216 z (*.f64 -1/3 (*.f64 z -1/24))))) (fma.f64 -1/6 (*.f64 (fma.f64 2/3 (*.f64 (*.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z)) (*.f64 -1/9 (*.f64 z -1/24))))) (pow.f64 y 6) (fma.f64 (*.f64 z -1/2) (*.f64 y y) (fma.f64 (+.f64 (*.f64 1/3 (*.f64 z -1/24)) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (*.f64 (*.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (*.f64 z 1/18))) (pow.f64 y 4) z)))
(fma.f64 (fma.f64 (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 z)) (-.f64 (*.f64 z 7/2160) (*.f64 z 1/72))) (*.f64 (*.f64 z -1/24) (*.f64 (cbrt.f64 (/.f64 1 z)) -1/9))) (cbrt.f64 z) (fma.f64 1/3 (-.f64 (*.f64 z 7/2160) (*.f64 z 1/72)) (fma.f64 (*.f64 -1/6 (cbrt.f64 z)) (fma.f64 2/3 (*.f64 z (*.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (*.f64 (*.f64 z -1/24) -1/9)))) (pow.f64 y 6) (fma.f64 (*.f64 z -1/2) (*.f64 y y) (fma.f64 (fma.f64 1/3 (*.f64 z -1/24) (fma.f64 (fma.f64 2/3 (*.f64 z (*.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z) (*.f64 z 1/18))) (pow.f64 y 4) z)))
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(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) 1) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (cos.f64 y))) (cbrt.f64 z))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/6)) (pow.f64 (*.f64 (cos.f64 y) z) 1/6))
(*.f64 z (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z))))
(*.f64 z (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z)))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) 1/3))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) (pow.f64 (*.f64 (cos.f64 y) z) 1/6))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) 2)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z x))) 1)
(fma.f64 z (cos.f64 y) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (cos.f64 y) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (cos.f64 y) z) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (fma.f64 z (cos.f64 y) (neg.f64 x)))
(*.f64 (fma.f64 (cos.f64 y) z x) 1)
(fma.f64 z (cos.f64 y) x)
(*.f64 1 (fma.f64 (cos.f64 y) z x))
(fma.f64 z (cos.f64 y) x)
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 2))
(fma.f64 z (cos.f64 y) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z x)))
(fma.f64 z (cos.f64 y) x)
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) (sqrt.f64 (fma.f64 (cos.f64 y) z x)))
(fma.f64 z (cos.f64 y) x)
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x (-.f64 x (*.f64 (cos.f64 y) z))))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (cos.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (fma.f64 z (cos.f64 y) (neg.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x (-.f64 x (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (cos.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 1 (/.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (fma.f64 z (cos.f64 y) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x (-.f64 x (*.f64 (cos.f64 y) z)))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (cos.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (cos.f64 y) (*.f64 z x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (cos.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x x)) (-.f64 (*.f64 (cos.f64 y) z) x))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (fma.f64 z (cos.f64 y) (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x (-.f64 x (*.f64 (cos.f64 y) z))))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (cos.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (fma.f64 z (cos.f64 y) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 x (*.f64 (cos.f64 y) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 x x)) (fma.f64 z (cos.f64 y) (neg.f64 x)))
(pow.f64 (fma.f64 (cos.f64 y) z x) 1)
(fma.f64 z (cos.f64 y) x)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 3) 1/3)
(fma.f64 z (cos.f64 y) x)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) 3)
(fma.f64 z (cos.f64 y) x)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) 2)
(fma.f64 z (cos.f64 y) x)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 2))
(fma.f64 z (cos.f64 y) x)
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z x)))
(fma.f64 z (cos.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z x))))
(fma.f64 z (cos.f64 y) x)
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) 3))
(fma.f64 z (cos.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z x)))
(fma.f64 z (cos.f64 y) x)
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z x)))
(fma.f64 z (cos.f64 y) x)
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z x)))
(fma.f64 z (cos.f64 y) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(fma.f64 z (cos.f64 y) x)
(fma.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) x)
(fma.f64 z (cos.f64 y) x)
(fma.f64 1 (*.f64 (cos.f64 y) z) x)
(fma.f64 z (cos.f64 y) x)
(fma.f64 1 x (*.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) x)
(fma.f64 z (cos.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) x)
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) x)
(fma.f64 z (cos.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) x)

eval208.0ms (2.9%)

Compiler

Compiled 10115 to 5300 computations (47.6% saved)

prune95.0ms (1.3%)

Pruning

21 alts after pruning (11 fresh and 10 done)

PrunedKeptTotal
New4436449
Fresh358
Picked101
Done11011
Total44821469
Error
0b
Counts
469 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
9.5b
(fma.f64 (cos.f64 y) z x)
39.3b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
20.0b
(+.f64 (pow.f64 (cbrt.f64 z) 3) x)
0.0b
(+.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)
34.1b
(+.f64 (+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))) (sin.f64 y)) x)
25.9b
(+.f64 (+.f64 y z) x)
0.3b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (-.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)))
37.7b
(+.f64 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)) x)
9.7b
(+.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) x)
22.9b
(+.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) x)
30.2b
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
9.5b
(+.f64 (*.f64 (cos.f64 y) z) x)
25.7b
(+.f64 (sin.f64 y) x)
39.8b
(+.f64 z (sin.f64 y))
47.3b
(+.f64 z y)
19.8b
(+.f64 z x)
38.9b
(*.f64 (cos.f64 y) z)
54.0b
(sin.f64 y)
54.2b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
48.1b
z
34.7b
x
Compiler

Compiled 204 to 141 computations (30.9% saved)

regimes88.0ms (1.2%)

Counts
41 → 1
Calls
Call 1
Inputs
x
z
(+.f64 z x)
(+.f64 z y)
(+.f64 z (+.f64 x y))
(+.f64 (+.f64 y z) x)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 z (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (+.f64 x (sin.f64 y)) z)
(+.f64 (+.f64 z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (pow.f64 (cbrt.f64 z) 3) x)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)) x)
(+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 z 3)))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) x)
(+.f64 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)) x)
(+.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) x)
(+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
(+.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) (sin.f64 y)) x)
(+.f64 (+.f64 x (sin.f64 y)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(+.f64 (+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))) (sin.f64 y)) x)
(+.f64 (+.f64 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)) (sin.f64 y)) x)
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x (sin.f64 y)))
(+.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) x)
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(+.f64 (+.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (sin.f64 y)) x)
(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (-.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 (cos.f64 y) (cos.f64 y))) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
Outputs
(+.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)
Calls

4 calls:

20.0ms
x
20.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
19.0ms
y
19.0ms
z
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 399 to 129 computations (67.7% saved)

regimes43.0ms (0.6%)

Counts
17 → 1
Calls
Call 1
Inputs
x
z
(+.f64 z x)
(+.f64 z y)
(+.f64 z (+.f64 x y))
(+.f64 (+.f64 y z) x)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 z (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (+.f64 x (sin.f64 y)) z)
(+.f64 (+.f64 z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (pow.f64 (cbrt.f64 z) 3) x)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Calls

4 calls:

10.0ms
x
10.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
10.0ms
y
9.0ms
z
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 104 to 43 computations (58.7% saved)

regimes73.0ms (1%)

Counts
16 → 3
Calls
Call 1
Inputs
x
z
(+.f64 z x)
(+.f64 z y)
(+.f64 z (+.f64 x y))
(+.f64 (+.f64 y z) x)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 z (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (+.f64 x (sin.f64 y)) z)
(+.f64 (+.f64 z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (pow.f64 (cbrt.f64 z) 3) x)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
Outputs
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (+.f64 z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z x)
Calls

3 calls:

27.0ms
z
23.0ms
x
20.0ms
y
Results
ErrorSegmentsBranch
2.1b3x
7.3b2y
0.4b3z
Compiler

Compiled 83 to 33 computations (60.2% saved)

bsearch60.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
32.0ms
4.329139215366384e-6
3812.28873152207
27.0ms
-15498154017506584.0
-5600071787861.862
Results
32.0ms211×body256valid
19.0ms44×body1024valid
5.0ms17×body512valid
Compiler

Compiled 349 to 242 computations (30.7% saved)

regimes63.0ms (0.9%)

Counts
13 → 3
Calls
Call 1
Inputs
x
z
(+.f64 z x)
(+.f64 z y)
(+.f64 z (+.f64 x y))
(+.f64 (+.f64 y z) x)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 z (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (+.f64 x (sin.f64 y)) z)
(+.f64 (+.f64 z (sin.f64 y)) x)
Outputs
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (+.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
Calls

3 calls:

27.0ms
x
20.0ms
z
14.0ms
y
Results
ErrorSegmentsBranch
5.4b3x
7.3b2y
0.4b3z
Compiler

Compiled 65 to 27 computations (58.5% saved)

bsearch56.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
29.0ms
4.329139215366384e-6
3812.28873152207
27.0ms
-15498154017506584.0
-5600071787861.862
Results
34.0ms227×body256valid
14.0ms32×body1024valid
4.0ms13×body512valid
Compiler

Compiled 358 to 251 computations (29.9% saved)

regimes115.0ms (1.6%)

Counts
12 → 3
Calls
Call 1
Inputs
x
z
(+.f64 z x)
(+.f64 z y)
(+.f64 z (+.f64 x y))
(+.f64 (+.f64 y z) x)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 z (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (+.f64 x (sin.f64 y)) z)
Outputs
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (+.f64 x (sin.f64 y)) z)
(+.f64 (*.f64 (cos.f64 y) z) x)
Calls

3 calls:

56.0ms
x
43.0ms
z
13.0ms
y
Results
ErrorSegmentsBranch
5.4b3x
7.3b2y
0.4b3z
Compiler

Compiled 59 to 26 computations (55.9% saved)

bsearch70.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
45.0ms
4.329139215366384e-6
3812.28873152207
25.0ms
-15498154017506584.0
-5600071787861.862
Results
35.0ms227×body256valid
26.0ms24×body1024valid
6.0ms21×body512valid
Compiler

Compiled 358 to 251 computations (29.9% saved)

regimes88.0ms (1.2%)

Counts
11 → 3
Calls
Call 1
Inputs
x
z
(+.f64 z x)
(+.f64 z y)
(+.f64 z (+.f64 x y))
(+.f64 (+.f64 y z) x)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 z (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
Outputs
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
Calls

3 calls:

35.0ms
x
33.0ms
z
18.0ms
y
Results
ErrorSegmentsBranch
6.0b3x
7.6b3y
1.8b3z
Compiler

Compiled 53 to 24 computations (54.7% saved)

bsearch70.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
50.0ms
3.213957528890849e-27
2.6100069833667708e-18
20.0ms
-1.9278487475330514e-71
-4.705570084674182e-72
Results
30.0ms195×body256valid
26.0ms22×body512valid
11.0ms23×body1024valid
Compiler

Compiled 288 to 208 computations (27.8% saved)

regimes86.0ms (1.2%)

Counts
10 → 5
Calls
Call 1
Inputs
x
z
(+.f64 z x)
(+.f64 z y)
(+.f64 z (+.f64 x y))
(+.f64 (+.f64 y z) x)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 z (sin.f64 y))
(+.f64 (sin.f64 y) x)
Outputs
(*.f64 (cos.f64 y) z)
(+.f64 z x)
(+.f64 (sin.f64 y) x)
(+.f64 z x)
(*.f64 (cos.f64 y) z)
Calls

3 calls:

31.0ms
z
31.0ms
x
23.0ms
y
Results
ErrorSegmentsBranch
10.0b5x
10.5b4y
7.8b5z
Compiler

Compiled 47 to 23 computations (51.1% saved)

bsearch111.0ms (1.5%)

Algorithm
binary-search
Steps
TimeLeftRight
34.0ms
1.0660393495428315e+202
2.746644401849521e+204
30.0ms
3.213957528890849e-27
2.6100069833667708e-18
21.0ms
-1.9278487475330514e-71
-4.705570084674182e-72
25.0ms
-6.833633277572015e+89
-4.817207572785557e+87
Results
55.0ms350×body256valid
35.0ms81×body1024valid
15.0ms49×body512valid
Compiler

Compiled 468 to 343 computations (26.7% saved)

regimes138.0ms (1.9%)

Counts
9 → 5
Calls
Call 1
Inputs
x
z
(+.f64 z x)
(+.f64 z y)
(+.f64 z (+.f64 x y))
(+.f64 (+.f64 y z) x)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 z (sin.f64 y))
Outputs
(+.f64 z x)
(*.f64 (cos.f64 y) z)
(+.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) z)
(+.f64 z x)
Calls

3 calls:

56.0ms
y
43.0ms
z
38.0ms
x
Results
ErrorSegmentsBranch
10.0b5x
15.0b6y
14.0b5z
Compiler

Compiled 43 to 22 computations (48.8% saved)

bsearch221.0ms (3.1%)

Algorithm
binary-search
Steps
TimeLeftRight
23.0ms
6.593343277049631e-20
3.6802641982277486e-19
58.0ms
6.069233619346472e-51
1.8302091884954578e-48
53.0ms
-1.7517240911626827e-169
-1.3273417982081933e-174
87.0ms
-9.462843674349195e-10
-1.4850696199887639e-21
Results
90.0ms142×body1024valid
73.0ms80×body512valid
46.0ms302×body256valid
3.0msbody2048valid
Compiler

Compiled 530 to 393 computations (25.8% saved)

regimes112.0ms (1.6%)

Counts
8 → 7
Calls
Call 1
Inputs
x
z
(+.f64 z x)
(+.f64 z y)
(+.f64 z (+.f64 x y))
(+.f64 (+.f64 y z) x)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
Outputs
(+.f64 z x)
(*.f64 (cos.f64 y) z)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 z x)
Calls

3 calls:

50.0ms
y
34.0ms
x
26.0ms
z
Results
ErrorSegmentsBranch
11.8b7x
15.1b6y
14.0b5z
Compiler

Compiled 39 to 21 computations (46.2% saved)

bsearch273.0ms (3.8%)

Algorithm
binary-search
Steps
TimeLeftRight
46.0ms
6.593343277049631e-20
3.6802641982277486e-19
34.0ms
6.069233619346472e-51
1.8302091884954578e-48
69.0ms
4.839855732781568e-126
6.21509841861577e-124
43.0ms
-1.953263689658037e-232
-3.5720962197668923e-242
37.0ms
-1.7517240911626827e-169
-1.3273417982081933e-174
43.0ms
-9.462843674349195e-10
-1.4850696199887639e-21
Results
145.0ms189×body1024valid
77.0ms485×body256valid
36.0ms123×body512valid
2.0msbody2048valid
Compiler

Compiled 734 to 563 computations (23.3% saved)

regimes81.0ms (1.1%)

Counts
7 → 4
Calls
Call 1
Inputs
x
z
(+.f64 z x)
(+.f64 z y)
(+.f64 z (+.f64 x y))
(+.f64 (+.f64 y z) x)
(sin.f64 y)
Outputs
(+.f64 z x)
(sin.f64 y)
(+.f64 z (+.f64 x y))
(+.f64 z x)
Calls

3 calls:

41.0ms
y
24.0ms
x
14.0ms
z
Results
ErrorSegmentsBranch
17.2b5x
17.1b4y
18.3b3z
Compiler

Compiled 35 to 19 computations (45.7% saved)

bsearch108.0ms (1.5%)

Algorithm
binary-search
Steps
TimeLeftRight
45.0ms
8.640349600063111e+24
3.61861481702006e+31
46.0ms
-7059.866834826994
-3.69829633178181
17.0ms
-2.250644027687218e+21
-3.778943474726829e+20
Results
104.0ms368×body256valid
Compiler

Compiled 360 to 260 computations (27.8% saved)

regimes36.0ms (0.5%)

Counts
6 → 3
Calls
Call 1
Inputs
x
z
(+.f64 z x)
(+.f64 z y)
(+.f64 z (+.f64 x y))
(+.f64 (+.f64 y z) x)
Outputs
(+.f64 z x)
(+.f64 z (+.f64 x y))
(+.f64 z x)
Calls

3 calls:

15.0ms
y
14.0ms
x
5.0ms
z
Results
ErrorSegmentsBranch
18.6b3x
18.3b3y
19.8b1z
Compiler

Compiled 33 to 18 computations (45.5% saved)

bsearch51.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
27.0ms
8.640349600063111e+24
3.61861481702006e+31
25.0ms
-27945560341.360683
-1530994.9855848453
Results
48.0ms272×body256valid
Compiler

Compiled 290 to 200 computations (31% saved)

regimes13.0ms (0.2%)

Counts
4 → 1
Calls
Call 1
Inputs
x
z
(+.f64 z x)
(+.f64 z y)
Outputs
(+.f64 z x)
Calls

3 calls:

5.0ms
y
4.0ms
z
4.0ms
x
Results
ErrorSegmentsBranch
19.8b1x
19.8b1y
19.8b1z
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes46.0ms (0.6%)

Accuracy

Total -37.3b remaining (-149.7%)

Threshold costs -37.3b (-149.7%)

Counts
2 → 3
Calls
Call 1
Inputs
x
z
Outputs
x
z
x
Calls

3 calls:

21.0ms
x
16.0ms
y
9.0ms
z
Results
ErrorSegmentsBranch
24.9b3x
30.7b5y
28.1b3z
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch137.0ms (1.9%)

Algorithm
binary-search
Steps
TimeLeftRight
72.0ms
1348132592805.45
118210342947635.94
65.0ms
-3.406117227543177e-29
-2.9668888557261116e-35
Results
72.0ms71×body1024valid
22.0ms141×body256valid
12.0ms43×body512valid
1.0msbody2048valid
Compiler

Compiled 178 to 141 computations (20.8% saved)

simplify14.0ms (0.2%)

Algorithm
egg-herbie
Rules
11×+-commutative_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103430
1117430
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 z -5700000000000) (+.f64 (*.f64 (cos.f64 y) z) x) (if (<=.f64 z 8106479329266893/9007199254740992) (+.f64 (+.f64 z (sin.f64 y)) x) (fma.f64 (cos.f64 y) z x)))
(if (<=.f64 z -5700000000000) (+.f64 (*.f64 (cos.f64 y) z) x) (if (<=.f64 z 7/4) (+.f64 (+.f64 z (sin.f64 y)) x) (+.f64 (*.f64 (cos.f64 y) z) x)))
(if (<=.f64 z -5700000000000) (+.f64 (*.f64 (cos.f64 y) z) x) (if (<=.f64 z 6530219459687219/4503599627370496) (+.f64 (+.f64 x (sin.f64 y)) z) (+.f64 (*.f64 (cos.f64 y) z) x)))
(if (<=.f64 z -4724570745892973/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (+.f64 (*.f64 (cos.f64 y) z) x) (if (<=.f64 z 552958846246525/42535295865117307932921825928971026432) (+.f64 (sin.f64 y) x) (+.f64 (*.f64 (cos.f64 y) z) x)))
(if (<=.f64 z -649999999999999961252941443179045468386714953071063824992943078245024843066876967537082368) (*.f64 (cos.f64 y) z) (if (<=.f64 z -4724570745892973/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (+.f64 z x) (if (<=.f64 z 2450033041830757/680564733841876926926749214863536422912) (+.f64 (sin.f64 y) x) (if (<=.f64 z 10799999999999999809089046056204283186859216252346223762385947240757631970097539536996515872086449342972571920823876431319339007790878336269777894872194960098907662399459680133228441170926713988450353152) (+.f64 z x) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 x -5324132520958563/2535301200456458802993406410752) (+.f64 z x) (if (<=.f64 x -4758996415638233/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (*.f64 (cos.f64 y) z) (if (<=.f64 x 806297233087391/3291009114642412084309938365114701009965471731267159726697218048) (+.f64 z (sin.f64 y)) (if (<=.f64 x 4984604984193435/41538374868278621028243970633760768) (*.f64 (cos.f64 y) z) (+.f64 z x)))))
(if (<=.f64 x -4381000474388761/162259276829213363391578010288128) (+.f64 z x) (if (<=.f64 x -6014936361123011/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824) (*.f64 (cos.f64 y) z) (if (<=.f64 x -5190801335223587/447482873726171268819043498963669351417527174565166445772522651598610375083639127489770066653509818366083742331546870626162450949329271510944453531899446556570513661062175189097918769710609043378828750128621019491811414900105274743989981048538660864) (sin.f64 y) (if (<=.f64 x 3572557697657767/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (*.f64 (cos.f64 y) z) (if (<=.f64 x 7582485000136117/421249166674228746791672110734681729275580381602196445017243910144) (sin.f64 y) (if (<=.f64 x 872305872233851/10384593717069655257060992658440192) (*.f64 (cos.f64 y) z) (+.f64 z x)))))))
(if (<=.f64 y -1150000000000000000000) (+.f64 z x) (if (<=.f64 y -7000) (sin.f64 y) (if (<=.f64 y 23999999999999999597346816) (+.f64 z (+.f64 x y)) (+.f64 z x))))
(if (<=.f64 y -5200000) (+.f64 z x) (if (<=.f64 y 17600000000000000134217728) (+.f64 z (+.f64 x y)) (+.f64 z x)))
(+.f64 z x)
(if (<=.f64 x -4384504911992709/182687704666362864775460604089535377456991567872) x (if (<=.f64 x 1400000000000) z x))
x
Outputs
(+.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)
(+.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) x)
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))
(if (<=.f64 z -5700000000000) (+.f64 (*.f64 (cos.f64 y) z) x) (if (<=.f64 z 8106479329266893/9007199254740992) (+.f64 (+.f64 z (sin.f64 y)) x) (fma.f64 (cos.f64 y) z x)))
(if (<=.f64 z -5700000000000) (+.f64 x (*.f64 z (cos.f64 y))) (if (<=.f64 z 8106479329266893/9007199254740992) (+.f64 x (+.f64 z (sin.f64 y))) (fma.f64 (cos.f64 y) z x)))
(if (<=.f64 z -5700000000000) (+.f64 (*.f64 (cos.f64 y) z) x) (if (<=.f64 z 7/4) (+.f64 (+.f64 z (sin.f64 y)) x) (+.f64 (*.f64 (cos.f64 y) z) x)))
(if (<=.f64 z -5700000000000) (+.f64 x (*.f64 z (cos.f64 y))) (if (<=.f64 z 7/4) (+.f64 x (+.f64 z (sin.f64 y))) (+.f64 x (*.f64 z (cos.f64 y)))))
(if (<=.f64 z -5700000000000) (+.f64 (*.f64 (cos.f64 y) z) x) (if (<=.f64 z 6530219459687219/4503599627370496) (+.f64 (+.f64 x (sin.f64 y)) z) (+.f64 (*.f64 (cos.f64 y) z) x)))
(if (<=.f64 z -5700000000000) (+.f64 x (*.f64 z (cos.f64 y))) (if (<=.f64 z 6530219459687219/4503599627370496) (+.f64 z (+.f64 (sin.f64 y) x)) (+.f64 x (*.f64 z (cos.f64 y)))))
(if (<=.f64 z -4724570745892973/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (+.f64 (*.f64 (cos.f64 y) z) x) (if (<=.f64 z 552958846246525/42535295865117307932921825928971026432) (+.f64 (sin.f64 y) x) (+.f64 (*.f64 (cos.f64 y) z) x)))
(if (<=.f64 z -4724570745892973/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (+.f64 x (*.f64 z (cos.f64 y))) (if (<=.f64 z 552958846246525/42535295865117307932921825928971026432) (+.f64 (sin.f64 y) x) (+.f64 x (*.f64 z (cos.f64 y)))))
(if (<=.f64 z -649999999999999961252941443179045468386714953071063824992943078245024843066876967537082368) (*.f64 (cos.f64 y) z) (if (<=.f64 z -4724570745892973/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (+.f64 z x) (if (<=.f64 z 2450033041830757/680564733841876926926749214863536422912) (+.f64 (sin.f64 y) x) (if (<=.f64 z 10799999999999999809089046056204283186859216252346223762385947240757631970097539536996515872086449342972571920823876431319339007790878336269777894872194960098907662399459680133228441170926713988450353152) (+.f64 z x) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 z -649999999999999961252941443179045468386714953071063824992943078245024843066876967537082368) (*.f64 z (cos.f64 y)) (if (<=.f64 z -4724570745892973/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (+.f64 z x) (if (<=.f64 z 2450033041830757/680564733841876926926749214863536422912) (+.f64 (sin.f64 y) x) (if (<=.f64 z 10799999999999999809089046056204283186859216252346223762385947240757631970097539536996515872086449342972571920823876431319339007790878336269777894872194960098907662399459680133228441170926713988450353152) (+.f64 z x) (*.f64 z (cos.f64 y))))))
(if (<=.f64 x -5324132520958563/2535301200456458802993406410752) (+.f64 z x) (if (<=.f64 x -4758996415638233/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (*.f64 (cos.f64 y) z) (if (<=.f64 x 806297233087391/3291009114642412084309938365114701009965471731267159726697218048) (+.f64 z (sin.f64 y)) (if (<=.f64 x 4984604984193435/41538374868278621028243970633760768) (*.f64 (cos.f64 y) z) (+.f64 z x)))))
(if (<=.f64 x -5324132520958563/2535301200456458802993406410752) (+.f64 z x) (if (<=.f64 x -4758996415638233/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (*.f64 z (cos.f64 y)) (if (<=.f64 x 806297233087391/3291009114642412084309938365114701009965471731267159726697218048) (+.f64 z (sin.f64 y)) (if (<=.f64 x 4984604984193435/41538374868278621028243970633760768) (*.f64 z (cos.f64 y)) (+.f64 z x)))))
(if (<=.f64 x -4381000474388761/162259276829213363391578010288128) (+.f64 z x) (if (<=.f64 x -6014936361123011/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824) (*.f64 (cos.f64 y) z) (if (<=.f64 x -5190801335223587/447482873726171268819043498963669351417527174565166445772522651598610375083639127489770066653509818366083742331546870626162450949329271510944453531899446556570513661062175189097918769710609043378828750128621019491811414900105274743989981048538660864) (sin.f64 y) (if (<=.f64 x 3572557697657767/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (*.f64 (cos.f64 y) z) (if (<=.f64 x 7582485000136117/421249166674228746791672110734681729275580381602196445017243910144) (sin.f64 y) (if (<=.f64 x 872305872233851/10384593717069655257060992658440192) (*.f64 (cos.f64 y) z) (+.f64 z x)))))))
(if (<=.f64 x -4381000474388761/162259276829213363391578010288128) (+.f64 z x) (if (<=.f64 x -6014936361123011/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824) (*.f64 z (cos.f64 y)) (if (<=.f64 x -5190801335223587/447482873726171268819043498963669351417527174565166445772522651598610375083639127489770066653509818366083742331546870626162450949329271510944453531899446556570513661062175189097918769710609043378828750128621019491811414900105274743989981048538660864) (sin.f64 y) (if (<=.f64 x 3572557697657767/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (*.f64 z (cos.f64 y)) (if (<=.f64 x 7582485000136117/421249166674228746791672110734681729275580381602196445017243910144) (sin.f64 y) (if (<=.f64 x 872305872233851/10384593717069655257060992658440192) (*.f64 z (cos.f64 y)) (+.f64 z x)))))))
(if (<=.f64 y -1150000000000000000000) (+.f64 z x) (if (<=.f64 y -7000) (sin.f64 y) (if (<=.f64 y 23999999999999999597346816) (+.f64 z (+.f64 x y)) (+.f64 z x))))
(if (<=.f64 y -1150000000000000000000) (+.f64 z x) (if (<=.f64 y -7000) (sin.f64 y) (if (<=.f64 y 23999999999999999597346816) (+.f64 z (+.f64 y x)) (+.f64 z x))))
(if (<=.f64 y -5200000) (+.f64 z x) (if (<=.f64 y 17600000000000000134217728) (+.f64 z (+.f64 x y)) (+.f64 z x)))
(if (<=.f64 y -5200000) (+.f64 z x) (if (<=.f64 y 17600000000000000134217728) (+.f64 z (+.f64 y x)) (+.f64 z x)))
(+.f64 z x)
(if (<=.f64 x -4384504911992709/182687704666362864775460604089535377456991567872) x (if (<=.f64 x 1400000000000) z x))
x
Compiler

Compiled 334 to 185 computations (44.6% saved)

soundness9.0ms (0.1%)

Algorithm
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
associate-+r+_binary64
associate-+l+_binary64
*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0914
11412
22312
32912
Stop Event
saturated
Compiler

Compiled 35 to 23 computations (34.3% saved)

end97.0ms (1.3%)

Compiler

Compiled 295 to 105 computations (64.4% saved)

Profiling

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