Details

Time bar (total: 40.1s)

analyze225.0ms (0.6%)

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)

sample1.8s (4.5%)

Results
966.0ms6190×body256valid
597.0ms1384×body1024valid
195.0ms679×body512valid
2.0msbody2048valid
Bogosity

preprocess69.0ms (0.2%)

Algorithm
egg-herbie
Rules
792×fma-neg_binary64
609×fma-def_binary64
208×cancel-sign-sub-inv_binary64
156×distribute-rgt-in_binary64
147×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02256
15756
212856
323756
442856
570056
6122956
7210156
8277356
9315656
10318856
033
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x)))
(-.f64 (+.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x)))
(+.f64 y (-.f64 (cos.f64 x) (*.f64 z (sin.f64 x))))
(+.f64 (cos.f64 x) (-.f64 y (*.f64 z (sin.f64 x))))
(-.f64 (+.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+.f64 z (-.f64 (cos.f64 y) (*.f64 x (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))
(-.f64 (cos.f64 y) (fma.f64 x (sin.f64 y) (neg.f64 z)))
(+.f64 (cos.f64 y) (-.f64 z (*.f64 x (sin.f64 y))))
(-.f64 (+.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))
(+.f64 x (-.f64 (cos.f64 z) (*.f64 y (sin.f64 z))))
(+.f64 (cos.f64 z) (-.f64 x (*.f64 y (sin.f64 z))))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify23.0ms (0.1%)

Algorithm
egg-herbie
Rules
228×fma-def_binary64
171×fma-neg_binary64
68×cancel-sign-sub-inv_binary64
43×distribute-rgt-in_binary64
39×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11814
23814
36714
411814
518314
632214
753214
868314
984814
1095214
1196214
Stop Event
saturated
Counts
1 → 3
Calls
Call 1
Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))

eval1.0ms (0%)

Compiler

Compiled 30 to 13 computations (56.7% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New123
Fresh011
Picked000
Done000
Total134
Error
0.0b
Counts
4 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.0b
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
Compiler

Compiled 24 to 16 computations (33.3% saved)

localize12.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
0.1b
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
Compiler

Compiled 29 to 8 computations (72.4% saved)

series20.0ms (0%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
3.0ms
x
@0
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
2.0ms
z
@0
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
2.0ms
y
@-inf
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
2.0ms
z
@-inf
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
2.0ms
y
@inf
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
Compiler

Compiled 752 to 557 computations (25.9% saved)

rewrite49.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
954×pow1_binary64
880×add-log-exp_binary64
879×log1p-expm1-u_binary64
879×expm1-log1p-u_binary64
103×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0925
119121
2257221
Stop Event
node limit
Counts
2 → 60
Calls
Call 1
Inputs
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (sin.f64 y)) 1) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z (sin.f64 y)) 0) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (sin.f64 y) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)) (cbrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) 1 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) 2) (cbrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (sqrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)) (/.f64 1 (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3)) (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)) (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2))) (neg.f64 (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) (*.f64 x (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))) (-.f64 x (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))))

simplify49.0ms (0.1%)

Algorithm
egg-herbie
Rules
496×associate-/l*_binary64
364×fma-neg_binary64
332×cancel-sign-sub-inv_binary64
326×unswap-sqr_binary64
319×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01781693
14761669
220541643
Stop Event
node limit
Counts
120 → 111
Calls
Call 1
Inputs
(*.f64 -1 (cos.f64 y))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
-1
(-.f64 (*.f64 y z) 1)
(-.f64 (+.f64 (*.f64 y z) (*.f64 1/2 (pow.f64 y 2))) 1)
(-.f64 (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 1/2 (pow.f64 y 2)))) 1)
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 (*.f64 z (sin.f64 y)) 1) (cos.f64 y))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) 1)
(-.f64 (+.f64 (*.f64 z (sin.f64 y)) 0) (cos.f64 y))
(*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 1)
(*.f64 1 (fma.f64 z (sin.f64 y) (cos.f64 y)))
(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)) (cbrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))))
(/.f64 (-.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 1)
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) 3)
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) 2)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2))
(log.f64 (exp.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))
(log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))
(+.f64 x (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))
(+.f64 x (*.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) 1))
(+.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) 1 (fma.f64 z (sin.f64 y) (cos.f64 y))))
(+.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y))))
(+.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 z (sin.f64 y) (cos.f64 y))))
(+.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
(*.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) 1)
(*.f64 1 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))
(*.f64 (cbrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) 2) (cbrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))
(*.f64 (sqrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (sqrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)) (/.f64 1 (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3)) (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)) (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2))) (neg.f64 (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) (*.f64 x (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))) (-.f64 x (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))))
(pow.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) 1)
(pow.f64 (pow.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) 3)
(pow.f64 (sqrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) 2))
(log.f64 (exp.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))
(cbrt.f64 (pow.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))
(log1p.f64 (expm1.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))
(exp.f64 (log.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))
(fma.f64 1 x (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))
Outputs
(*.f64 -1 (cos.f64 y))
(neg.f64 (cos.f64 y))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
-1
(-.f64 (*.f64 y z) 1)
(fma.f64 y z -1)
(-.f64 (+.f64 (*.f64 y z) (*.f64 1/2 (pow.f64 y 2))) 1)
(+.f64 (fma.f64 y z (*.f64 1/2 (*.f64 y y))) -1)
(fma.f64 y z (fma.f64 1/2 (*.f64 y y) -1))
(fma.f64 y z (fma.f64 y (*.f64 y 1/2) -1))
(-.f64 (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 1/2 (pow.f64 y 2)))) 1)
(+.f64 (fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 1/2 (*.f64 y y)))) -1)
(+.f64 (*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) (fma.f64 1/2 (*.f64 y y) -1))
(+.f64 (*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) (fma.f64 y (*.f64 y 1/2) -1))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(-.f64 x (fma.f64 y z -1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) x)))
(+.f64 (fma.f64 (*.f64 y y) -1/2 x) (-.f64 1 (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y y) -1/2 x) (fma.f64 y z -1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))))
(+.f64 (fma.f64 (*.f64 y y) -1/2 (fma.f64 (*.f64 z (pow.f64 y 3)) 1/6 x)) (-.f64 1 (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y y) -1/2 (fma.f64 (*.f64 z (pow.f64 y 3)) 1/6 x)) (fma.f64 y z -1))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
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(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
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(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
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(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
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(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
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(fma.f64 z (sin.f64 y) (cos.f64 y))
(+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(+.f64 (*.f64 (*.f64 z (sin.f64 y)) 1) (cos.f64 y))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) 1)
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(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
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(fma.f64 z (sin.f64 y) (cos.f64 y))
(*.f64 1 (fma.f64 z (sin.f64 y) (cos.f64 y)))
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(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)) (cbrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))
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(*.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))
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(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 z (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (cos.f64 y) 3)) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(/.f64 (-.f64 (*.f64 z (*.f64 z (*.f64 (sin.f64 y) (sin.f64 y)))) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
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(fma.f64 z (sin.f64 y) (cos.f64 y))
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(fma.f64 z (sin.f64 y) (cos.f64 y))
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(log.f64 (exp.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3))
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(fma.f64 z (sin.f64 y) (cos.f64 y))
(log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(+.f64 x (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))
(-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(+.f64 x (*.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) 1))
(-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(+.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) 1 (fma.f64 z (sin.f64 y) (cos.f64 y))))
(-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(+.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y))))
(-.f64 x (-.f64 0 (*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2))))))
(+.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 z (sin.f64 y) (cos.f64 y))))
(-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(+.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
(-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(*.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) 1)
(-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(*.f64 1 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))
(-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(*.f64 (cbrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) 2))
(-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) 2) (cbrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))
(-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(*.f64 (sqrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (sqrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))
(-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3)) (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)) (/.f64 1 (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)))
(-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))))
(-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3)) (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2))))
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(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3)) (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3)) (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)) (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x))
(-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3)) (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2))) (neg.f64 (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)))
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(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) (*.f64 x (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3)) (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))) (-.f64 x (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))))
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(-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(pow.f64 (cbrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) 3)
(-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(pow.f64 (sqrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) 2)
(-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(sqrt.f64 (pow.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) 2))
(-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(log.f64 (exp.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))
(-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))
(-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(cbrt.f64 (pow.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) 3))
(-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(expm1.f64 (log1p.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))
(-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(log1p.f64 (expm1.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))
(-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(exp.f64 (log.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))
(-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(fma.f64 1 x (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))
(-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))
(-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))
(-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))

localize11.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiled 27 to 8 computations (70.4% saved)

series21.0ms (0.1%)

Counts
3 → 64
Calls

21 calls:

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

Compiled 998 to 747 computations (25.2% saved)

rewrite70.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
521×log-prod_binary64
455×fma-def_binary64
372×pow-prod-down_binary64
286×pow2_binary64
217×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
120226
2301226
Stop Event
node limit
Counts
3 → 210
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(+.f64 x (cos.f64 y))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
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(cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) 1) (sin.f64 y) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))))))

simplify90.0ms (0.2%)

Algorithm
egg-herbie
Rules
517×times-frac_binary64
507×fma-neg_binary64
245×distribute-rgt-neg-in_binary64
237×log-prod_binary64
211×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04684126
111613998
236763998
Stop Event
node limit
Counts
274 → 271
Calls
Call 1
Inputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 0 (*.f64 z (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) 2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (sin.f64 y)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 3) 1/3))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))
(*.f64 (+.f64 x (cos.f64 y)) 1)
(*.f64 1 (+.f64 x (cos.f64 y)))
(*.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))))
(*.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))
(/.f64 1 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (*.f64 x x) (*.f64 x (cos.f64 y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (neg.f64 (-.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(pow.f64 (+.f64 x (cos.f64 y)) 1)
(pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) 1/2)
(pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) 2)
(pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) -1)
(pow.f64 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2))
(log.f64 (exp.f64 (+.f64 x (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (cos.f64 y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (cos.f64 y))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (cos.f64 y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (cos.f64 y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 y))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (cos.f64 y)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 y))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y))))
(log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (+.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (cos.f64 y))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (cos.f64 y)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (cos.f64 y)))) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (cos.f64 y))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (cos.f64 y))) 3) 1/3))
(fma.f64 x 1 (cos.f64 y))
(fma.f64 (cos.f64 y) 1 x)
(fma.f64 1 x (cos.f64 y))
(fma.f64 1 (cos.f64 y) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))
(fma.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (cbrt.f64 (cos.f64 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))
(+.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))
(+.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)
(+.f64 0 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1)
(*.f64 1 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2) (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(*.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) 2))))
(*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(/.f64 1 (/.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)) (fma.f64 x x (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 3)) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 2) (*.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) (-.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 2)) (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))))
(pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) -1)
(pow.f64 (/.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))
(log.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 x (cos.f64 y)))) (pow.f64 (exp.f64 z) (sin.f64 y))))
(log.f64 (/.f64 (exp.f64 (+.f64 x (cos.f64 y))) (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 x (cos.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (/.f64 (exp.f64 (cos.f64 y)) (pow.f64 (exp.f64 z) (sin.f64 y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (cos.f64 y)))) (exp.f64 (*.f64 (sin.f64 y) (neg.f64 z)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (cos.f64 y)))) (pow.f64 (exp.f64 z) (neg.f64 (sin.f64 y)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (exp.f64 (+.f64 x (cos.f64 y)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 1 (expm1.f64 (+.f64 x (cos.f64 y))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 z) (neg.f64 (sin.f64 y))) (+.f64 1 (expm1.f64 (+.f64 x (cos.f64 y))))))
(log.f64 (*.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (/.f64 (exp.f64 (cos.f64 y)) (pow.f64 (exp.f64 z) (sin.f64 y))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(exp.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 1) 1))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
(fma.f64 x 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 x 1 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1))
(fma.f64 (cos.f64 y) 1 (-.f64 x (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 x (cos.f64 y)) 1 (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (+.f64 x (cos.f64 y)) 1 (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))
(fma.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1 (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(fma.f64 1 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 1 x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1))
(fma.f64 1 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(fma.f64 1 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 1 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))
(fma.f64 1 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 1 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))
(fma.f64 1 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(fma.f64 1 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y)))
(fma.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)
(fma.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (+.f64 x (cos.f64 y)))
(fma.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))
(fma.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2) (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2) (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2) (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1))
(fma.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (-.f64 x (*.f64 z (sin.f64 y))))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (cbrt.f64 (cos.f64 y)) (-.f64 x (*.f64 z (sin.f64 y))))
(fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))
(fma.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (+.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))
(fma.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (-.f64 x (*.f64 z (sin.f64 y))))
(fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) 2))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) 2))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))
(fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))
(fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))
(fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) x)
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (neg.f64 z) 1) (sin.f64 y) (+.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
Outputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(fma.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(fma.f64 (*.f64 (neg.f64 z) 1) (sin.f64 y) (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y))))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))

eval74.0ms (0.2%)

Compiler

Compiled 6475 to 1872 computations (71.1% saved)

prune72.0ms (0.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New36715382
Fresh000
Picked101
Done101
Total36915384
Error
0.0b
Counts
384 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
1.2b
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2) (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
33.6b
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
29.4b
(fma.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
26.6b
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
29.4b
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
1.2b
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
18.7b
(-.f64 (expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y)))
26.6b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
21.7b
(-.f64 (cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y)))
9.8b
(-.f64 x (/.f64 (-.f64 (*.f64 z (*.f64 z (*.f64 (sin.f64 y) (sin.f64 y)))) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y))))
23.2b
(-.f64 x (-.f64 (*.f64 y z) 1))
24.7b
(-.f64 x -1)
17.6b
(+.f64 (cos.f64 y) x)
44.8b
(*.f64 (sin.f64 y) (neg.f64 z))
36.1b
x
Compiler

Compiled 446 to 263 computations (41% saved)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
0.1b
(*.f64 z (sin.f64 y))
0.5b
(cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
0.6b
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
Compiler

Compiled 53 to 12 computations (77.4% saved)

series4.3s (10.6%)

Counts
3 → 56
Calls

24 calls:

TimeVariablePointExpression
851.0ms
z
@-inf
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
800.0ms
x
@inf
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
800.0ms
z
@inf
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
797.0ms
x
@-inf
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
233.0ms
z
@inf
(cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
Compiler

Compiled 364092 to 283771 computations (22.1% saved)

rewrite74.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
589×log-prod_binary64
433×fma-def_binary64
417×pow-prod-down_binary64
327×pow2_binary64
223×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01241
126941
2345441
Stop Event
node limit
Counts
3 → 206
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
(cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
Outputs
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simplify145.0ms (0.4%)

Algorithm
egg-herbie
Rules
506×fma-neg_binary64
411×fma-def_binary64
393×associate-*r*_binary64
310×associate-*l*_binary64
260×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06544294975757
118677415
271797411
Stop Event
node limit
Counts
262 → 360
Calls
Call 1
Inputs
(*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3))
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(pow.f64 (+.f64 1 x) 1/3)
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1
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(cos.f64 y)
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(log.f64 (*.f64 (exp.f64 (*.f64 z (neg.f64 (sin.f64 y)))) (+.f64 1 (expm1.f64 (cos.f64 y)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 z) (neg.f64 (sin.f64 y))) (+.f64 1 (expm1.f64 (cos.f64 y)))))
(cbrt.f64 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))
(log1p.f64 (expm1.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))
(exp.f64 (log.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))) 1))
(fma.f64 (cos.f64 y) 1 (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cos.f64 y) 1 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(fma.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 1 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 1 (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))
(fma.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(fma.f64 1 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 1 (cos.f64 y) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1))
(fma.f64 1 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 1 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))
(fma.f64 1 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(fma.f64 1 (*.f64 z (neg.f64 (sin.f64 y))) (cos.f64 y))
(fma.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))) 2) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))) 2) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))
(fma.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))) 2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))) 2) (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))) 2) (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))) 2) (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (cos.f64 y))
(fma.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1))
(fma.f64 (sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))) (sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))) (sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))
(fma.f64 (sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))) (sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(fma.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (cos.f64 y))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1))
(fma.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) 2))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) 2))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))
(fma.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(fma.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))
(fma.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) 2) (cbrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) (cos.f64 y))
(fma.f64 (sqrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) (sqrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) (cos.f64 y))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 (*.f64 (neg.f64 z) 1) (sin.f64 y) (cos.f64 y))
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) (cos.f64 y))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (cos.f64 y))
Outputs
(*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(+.f64 (*.f64 (+.f64 (*.f64 2/3 (/.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) (pow.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) 1/3))) (*.f64 1/3 (/.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) (pow.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) 1/3)))) x) (*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3)))
(fma.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))) 1) x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) 2))) x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
(+.f64 (*.f64 (+.f64 (*.f64 2/3 (/.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) (pow.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) 1/3))) (*.f64 1/3 (/.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) (pow.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) 1/3)))) x) (+.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3)) (*.f64 (+.f64 (*.f64 2/9 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) 1/3) 2))) (*.f64 -2/9 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) 1/3) 2)))) (pow.f64 x 2))))
(+.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))) 1) x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 (/.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)) 2)) 0) (*.f64 x x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) 2))) x (fma.f64 0 (*.f64 x x) (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))))
(+.f64 (*.f64 (+.f64 (*.f64 2/3 (/.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) (pow.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) 1/3))) (*.f64 1/3 (/.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) (pow.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) 1/3)))) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) 1/3) 3))) (*.f64 2/9 (/.f64 1 (*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) 1/3) 2) (pow.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) 1/3)))))) (*.f64 (+.f64 (*.f64 -2/3 (/.f64 (*.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) 1/3) 3))) (*.f64 2/9 (/.f64 1 (*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) 1/3) 2) (pow.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) 1/3)))))) (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2))) (*.f64 -2/27 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) (*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) 1/3) 2) (*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) (pow.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) 1/3)))))) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3))) (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) 1/3) 2) (pow.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) 1/3))))) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3)) (*.f64 (+.f64 (*.f64 2/9 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) 1/3) 2))) (*.f64 -2/9 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3) 2) 1/3) 2)))) (pow.f64 x 2)))))
(fma.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))) 1) x (fma.f64 (-.f64 (fma.f64 -1/3 (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)) 3)) (/.f64 2/9 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)) 3))) (*.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 -2/3 (/.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)) 3)) (/.f64 2/9 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)) 3))))) (*.f64 -2/27 (/.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)) 2) (*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))))))))) (/.f64 1/9 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)) 3))) (pow.f64 x 3) (+.f64 (*.f64 (*.f64 (/.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)) 2)) 0) (*.f64 x x)) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
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(pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
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(pow.f64 (+.f64 1 x) 1/3)
(cbrt.f64 (+.f64 x 1))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 y z) (pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/3) 2) 1/3))) (pow.f64 (+.f64 1 x) 1/3))
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(cbrt.f64 (+.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x)))
(pow.f64 (+.f64 (cos.f64 y) x) 1/3)
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1
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(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
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(fma.f64 (sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))) (sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
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(fma.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (cos.f64 y))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(fma.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) 2))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
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(fma.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) 2))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
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(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
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(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) (cos.f64 y))
(fma.f64 (*.f64 z (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)) (cos.f64 y))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (cos.f64 y))
(fma.f64 (*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y)) (cos.f64 y))

localize3.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (sin.f64 y) (neg.f64 z))
Compiler

Compiled 14 to 6 computations (57.1% saved)

series9.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(*.f64 (sin.f64 y) (neg.f64 z))
1.0ms
y
@0
(*.f64 (sin.f64 y) (neg.f64 z))
1.0ms
y
@inf
(*.f64 (sin.f64 y) (neg.f64 z))
1.0ms
z
@0
(*.f64 (sin.f64 y) (neg.f64 z))
1.0ms
z
@-inf
(*.f64 (sin.f64 y) (neg.f64 z))
Compiler

Compiled 317 to 249 computations (21.5% saved)

rewrite39.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
495×pow1_binary64
474×add-sqr-sqrt_binary64
454×add-log-exp_binary64
453×log1p-expm1-u_binary64
453×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068
11226
215446
Stop Event
node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f64 (sin.f64 y) (neg.f64 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))))))

simplify42.0ms (0.1%)

Algorithm
egg-herbie
Rules
760×fma-def_binary64
517×log-prod_binary64
458×fma-neg_binary64
359×*-commutative_binary64
328×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
056395
1150356
2516310
32337308
46745308
Stop Event
node limit
Counts
37 → 36
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(-.f64 0 (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(neg.f64 (*.f64 (sin.f64 y) z))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
Outputs
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(fma.f64 -1 (*.f64 y z) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))
(*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (-.f64 (*.f64 1/6 (pow.f64 y 3)) y))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1 (*.f64 y z) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3)))))
(-.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 y z))
(*.f64 z (-.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) y))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (fma.f64 -1 (*.f64 y z) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))))
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (-.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 y z)))
(*.f64 z (+.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) (-.f64 (*.f64 1/5040 (pow.f64 y 7)) y)))
(*.f64 z (-.f64 (fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))) y))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 0 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(+.f64 (+.f64 (*.f64 z (sin.f64 y)) 1) -1)
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(+.f64 (+.f64 (*.f64 z (sin.f64 y)) 1) -1)
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(+.f64 (+.f64 (*.f64 z (sin.f64 y)) 1) -1)
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(+.f64 (+.f64 (*.f64 z (sin.f64 y)) 1) -1)
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(+.f64 (+.f64 (*.f64 z (sin.f64 y)) 1) -1)
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(neg.f64 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(+.f64 (+.f64 (*.f64 z (sin.f64 y)) 1) -1)
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(+.f64 (+.f64 (*.f64 z (sin.f64 y)) 1) -1)
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(+.f64 (+.f64 (*.f64 z (sin.f64 y)) 1) -1)
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(+.f64 (+.f64 (*.f64 z (sin.f64 y)) 1) -1)
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(+.f64 (+.f64 (*.f64 z (sin.f64 y)) 1) -1)
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(+.f64 (+.f64 (*.f64 z (sin.f64 y)) 1) -1)
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (cos.f64 y))
0.1b
(*.f64 z (sin.f64 y))
0.1b
(log1p.f64 (+.f64 x (cos.f64 y)))
1.4b
(expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y))))
Compiler

Compiled 40 to 10 computations (75% saved)

series329.0ms (0.8%)

Counts
2 → 44
Calls

12 calls:

TimeVariablePointExpression
263.0ms
x
@-inf
(log1p.f64 (+.f64 x (cos.f64 y)))
33.0ms
y
@inf
(log1p.f64 (+.f64 x (cos.f64 y)))
14.0ms
y
@-inf
(log1p.f64 (+.f64 x (cos.f64 y)))
6.0ms
y
@0
(log1p.f64 (+.f64 x (cos.f64 y)))
5.0ms
x
@inf
(log1p.f64 (+.f64 x (cos.f64 y)))
Compiler

Compiled 32989 to 27114 computations (17.8% saved)

rewrite48.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
693×pow1_binary64
643×add-log-exp_binary64
643×expm1-log1p-u_binary64
642×log1p-expm1-u_binary64
628×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
112714
2171714
Stop Event
node limit
Counts
2 → 52
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y))))
(log1p.f64 (+.f64 x (cos.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (*.f64 x x) (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (neg.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (neg.f64 (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) (+.f64 (+.f64 x (cos.f64 y)) 1)) (+.f64 1 (*.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) (+.f64 (+.f64 x (cos.f64 y)) 1)) 1) (+.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (+.f64 x (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (+.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 2) (cbrt.f64 (log1p.f64 (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (sqrt.f64 (log1p.f64 (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (+.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (+.f64 x (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (+.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (+.f64 x (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (+.f64 x (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (+.f64 x (cos.f64 y)))))))))

simplify45.0ms (0.1%)

Algorithm
egg-herbie
Rules
830×fma-def_binary64
590×distribute-rgt-in_binary64
561×distribute-lft-in_binary64
488×associate-+l+_binary64
358×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01961237
15341198
218611183
Stop Event
node limit
Counts
96 → 110
Calls
Call 1
Inputs
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(log.f64 (+.f64 1 (cos.f64 y)))
(+.f64 (/.f64 x (+.f64 1 (cos.f64 y))) (log.f64 (+.f64 1 (cos.f64 y))))
(+.f64 (/.f64 x (+.f64 1 (cos.f64 y))) (+.f64 (log.f64 (+.f64 1 (cos.f64 y))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))))
(+.f64 (/.f64 x (+.f64 1 (cos.f64 y))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (+.f64 (log.f64 (+.f64 1 (cos.f64 y))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 (cos.f64 y) x) (/.f64 1 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 y) x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 y) x)))))
(log.f64 (+.f64 2 x))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 2 x))) (log.f64 (+.f64 2 x)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 2 x))) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 1/24 (*.f64 (pow.f64 y 4) (-.f64 (/.f64 1 (+.f64 2 x)) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 x) 2))))))))
(+.f64 (*.f64 1/720 (*.f64 (-.f64 (*.f64 15 (/.f64 1 (pow.f64 (+.f64 2 x) 2))) (+.f64 (*.f64 30 (/.f64 1 (pow.f64 (+.f64 2 x) 3))) (/.f64 1 (+.f64 2 x)))) (pow.f64 y 6))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 2 x))) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 1/24 (*.f64 (pow.f64 y 4) (-.f64 (/.f64 1 (+.f64 2 x)) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 x) 2)))))))))
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x)))
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x)))
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x)))
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x)))
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x)))
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x)))
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x)))
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x)))
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) -1)
(-.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))
(*.f64 (+.f64 x (cos.f64 y)) 1)
(*.f64 1 (+.f64 x (cos.f64 y)))
(*.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))))
(*.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))
(/.f64 1 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (*.f64 x x) (*.f64 x (cos.f64 y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (neg.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (neg.f64 (-.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) (+.f64 (+.f64 x (cos.f64 y)) 1)) (+.f64 1 (*.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) (+.f64 (+.f64 x (cos.f64 y)) 1)) 1) (+.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) 1))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(pow.f64 (+.f64 x (cos.f64 y)) 1)
(pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2))
(log.f64 (exp.f64 (+.f64 x (cos.f64 y))))
(cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3))
(log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (+.f64 x (cos.f64 y))))
(fma.f64 1 x (cos.f64 y))
(fma.f64 1 (cos.f64 y) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)
(-.f64 (+.f64 1 (log1p.f64 (+.f64 x (cos.f64 y)))) 1)
(*.f64 (log1p.f64 (+.f64 x (cos.f64 y))) 1)
(*.f64 1 (log1p.f64 (+.f64 x (cos.f64 y))))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 2) (cbrt.f64 (log1p.f64 (+.f64 x (cos.f64 y)))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (sqrt.f64 (log1p.f64 (+.f64 x (cos.f64 y)))))
(pow.f64 (log1p.f64 (+.f64 x (cos.f64 y))) 1)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 x (cos.f64 y))) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 x (cos.f64 y))) 2))
(log.f64 (+.f64 (+.f64 x (cos.f64 y)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 x (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 x (cos.f64 y)))))
Outputs
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) x))
(+.f64 x (fma.f64 y (*.f64 y -1/2) 1))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)))
(+.f64 (fma.f64 1/24 (pow.f64 y 4) x) (fma.f64 y (*.f64 y -1/2) 1))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)) (fma.f64 -1/720 (pow.f64 y 6) 1))
(+.f64 (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 y (*.f64 y -1/2) 1)) (fma.f64 1/24 (pow.f64 y 4) x))
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(+.f64 (/.f64 x (+.f64 1 (cos.f64 y))) (log.f64 (+.f64 1 (cos.f64 y))))
(+.f64 (log1p.f64 (cos.f64 y)) (/.f64 x (+.f64 (cos.f64 y) 1)))
(+.f64 (/.f64 x (+.f64 1 (cos.f64 y))) (+.f64 (log.f64 (+.f64 1 (cos.f64 y))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))))
(+.f64 (/.f64 x (+.f64 (cos.f64 y) 1)) (+.f64 (log1p.f64 (cos.f64 y)) (*.f64 -1/2 (/.f64 (*.f64 x x) (pow.f64 (+.f64 (cos.f64 y) 1) 2)))))
(+.f64 (/.f64 x (+.f64 (cos.f64 y) 1)) (fma.f64 -1/2 (/.f64 x (/.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) x)) (log1p.f64 (cos.f64 y))))
(+.f64 (log1p.f64 (cos.f64 y)) (fma.f64 -1/2 (*.f64 (/.f64 x (pow.f64 (+.f64 (cos.f64 y) 1) 2)) x) (/.f64 x (+.f64 (cos.f64 y) 1))))
(+.f64 (/.f64 x (+.f64 1 (cos.f64 y))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (+.f64 (log.f64 (+.f64 1 (cos.f64 y))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))))
(+.f64 (/.f64 x (+.f64 (cos.f64 y) 1)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (cos.f64 y) 1) 3)) (+.f64 (log1p.f64 (cos.f64 y)) (*.f64 -1/2 (/.f64 (*.f64 x x) (pow.f64 (+.f64 (cos.f64 y) 1) 2))))))
(+.f64 (/.f64 x (+.f64 (cos.f64 y) 1)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (cos.f64 y) 1) 3)) (fma.f64 -1/2 (/.f64 x (/.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) x)) (log1p.f64 (cos.f64 y)))))
(+.f64 (/.f64 x (+.f64 (cos.f64 y) 1)) (fma.f64 -1/2 (*.f64 (/.f64 x (pow.f64 (+.f64 (cos.f64 y) 1) 2)) x) (fma.f64 1/3 (pow.f64 (/.f64 x (+.f64 (cos.f64 y) 1)) 3) (log1p.f64 (cos.f64 y)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 (cos.f64 y) x) (/.f64 1 x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 y) x)))
(+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 y) x))))
(fma.f64 -1/2 (*.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (pow.f64 (/.f64 1 x) 2)) (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 y) x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 y) x)) (fma.f64 -1/2 (*.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (pow.f64 (/.f64 1 x) 2)) (log.f64 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 y) x)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (*.f64 x x)) (log.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 y) x)))))
(fma.f64 -1/2 (*.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (pow.f64 (/.f64 1 x) 2)) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 1/3 (*.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 y) x)))))
(+.f64 (fma.f64 (/.f64 1/3 (pow.f64 x 3)) (pow.f64 (+.f64 (cos.f64 y) 1) 3) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 y) x))) (fma.f64 -1/2 (*.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (pow.f64 (/.f64 1 x) 2)) (log.f64 x)))
(+.f64 (+.f64 (/.f64 1 x) (fma.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) (/.f64 1/3 (pow.f64 x 3)) (/.f64 (cos.f64 y) x))) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (*.f64 x x)) (log.f64 x)))
(log.f64 (+.f64 2 x))
(log.f64 (+.f64 x 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 2 x))) (log.f64 (+.f64 2 x)))
(fma.f64 -1/2 (/.f64 (*.f64 y y) (+.f64 x 2)) (log.f64 (+.f64 x 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 2 x))) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 1/24 (*.f64 (pow.f64 y 4) (-.f64 (/.f64 1 (+.f64 2 x)) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 x) 2))))))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 y y) (+.f64 x 2)) (log.f64 (+.f64 x 2))) (*.f64 1/24 (*.f64 (pow.f64 y 4) (-.f64 (/.f64 1 (+.f64 x 2)) (/.f64 3 (pow.f64 (+.f64 x 2) 2))))))
(fma.f64 -1/2 (/.f64 (*.f64 y y) (+.f64 x 2)) (fma.f64 1/24 (*.f64 (pow.f64 y 4) (+.f64 (/.f64 1 (+.f64 x 2)) (/.f64 -3 (pow.f64 (+.f64 x 2) 2)))) (log.f64 (+.f64 x 2))))
(fma.f64 (pow.f64 y 4) (*.f64 1/24 (+.f64 (/.f64 1 (+.f64 x 2)) (/.f64 -3 (pow.f64 (+.f64 x 2) 2)))) (fma.f64 -1/2 (/.f64 (*.f64 y y) (+.f64 x 2)) (log.f64 (+.f64 x 2))))
(+.f64 (*.f64 1/720 (*.f64 (-.f64 (*.f64 15 (/.f64 1 (pow.f64 (+.f64 2 x) 2))) (+.f64 (*.f64 30 (/.f64 1 (pow.f64 (+.f64 2 x) 3))) (/.f64 1 (+.f64 2 x)))) (pow.f64 y 6))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 2 x))) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 1/24 (*.f64 (pow.f64 y 4) (-.f64 (/.f64 1 (+.f64 2 x)) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 x) 2)))))))))
(fma.f64 1/720 (*.f64 (pow.f64 y 6) (-.f64 (/.f64 15 (pow.f64 (+.f64 x 2) 2)) (+.f64 (/.f64 1 (+.f64 x 2)) (/.f64 30 (pow.f64 (+.f64 x 2) 3))))) (+.f64 (fma.f64 -1/2 (/.f64 (*.f64 y y) (+.f64 x 2)) (log.f64 (+.f64 x 2))) (*.f64 1/24 (*.f64 (pow.f64 y 4) (-.f64 (/.f64 1 (+.f64 x 2)) (/.f64 3 (pow.f64 (+.f64 x 2) 2)))))))
(fma.f64 1/720 (*.f64 (pow.f64 y 6) (-.f64 (/.f64 15 (pow.f64 (+.f64 x 2) 2)) (+.f64 (/.f64 1 (+.f64 x 2)) (/.f64 30 (pow.f64 (+.f64 x 2) 3))))) (fma.f64 -1/2 (/.f64 (*.f64 y y) (+.f64 x 2)) (fma.f64 1/24 (*.f64 (pow.f64 y 4) (+.f64 (/.f64 1 (+.f64 x 2)) (/.f64 -3 (pow.f64 (+.f64 x 2) 2)))) (log.f64 (+.f64 x 2)))))
(fma.f64 (pow.f64 y 6) (+.f64 (*.f64 (+.f64 (/.f64 -30 (pow.f64 (+.f64 x 2) 3)) (/.f64 -1 (+.f64 x 2))) 1/720) (/.f64 1/48 (pow.f64 (+.f64 x 2) 2))) (fma.f64 (pow.f64 y 4) (*.f64 1/24 (+.f64 (/.f64 1 (+.f64 x 2)) (/.f64 -3 (pow.f64 (+.f64 x 2) 2)))) (fma.f64 -1/2 (/.f64 (*.f64 y y) (+.f64 x 2)) (log.f64 (+.f64 x 2)))))
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x)))
(log1p.f64 (+.f64 (cos.f64 y) x))
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x)))
(log1p.f64 (+.f64 (cos.f64 y) x))
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x)))
(log1p.f64 (+.f64 (cos.f64 y) x))
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x)))
(log1p.f64 (+.f64 (cos.f64 y) x))
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x)))
(log1p.f64 (+.f64 (cos.f64 y) x))
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x)))
(log1p.f64 (+.f64 (cos.f64 y) x))
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x)))
(log1p.f64 (+.f64 (cos.f64 y) x))
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x)))
(log1p.f64 (+.f64 (cos.f64 y) x))
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) -1)
(+.f64 (cos.f64 y) x)
(-.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) 1)
(+.f64 (cos.f64 y) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(*.f64 (+.f64 x (cos.f64 y)) 1)
(+.f64 (cos.f64 y) x)
(*.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) x)
(*.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2))
(+.f64 (cos.f64 y) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))))
(+.f64 (cos.f64 y) x)
(*.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))))
(+.f64 (cos.f64 y) x)
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(/.f64 1 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (*.f64 x x) (*.f64 x (cos.f64 y)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (neg.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (neg.f64 (-.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (-.f64 (pow.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) (+.f64 (+.f64 x (cos.f64 y)) 1)) (+.f64 1 (*.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) 1)) 3) -1) (fma.f64 (+.f64 x (+.f64 (cos.f64 y) 1)) (+.f64 x (+.f64 (cos.f64 y) 1)) (+.f64 (+.f64 (cos.f64 y) x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 3)) (fma.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (+.f64 (cos.f64 y) (+.f64 x 1)) (+.f64 (cos.f64 y) (+.f64 x 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 3)) (+.f64 1 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (+.f64 (cos.f64 y) (+.f64 x 2)))))
(/.f64 (-.f64 (*.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) (+.f64 (+.f64 x (cos.f64 y)) 1)) 1) (+.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) 1))
(+.f64 (cos.f64 y) x)
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(pow.f64 (+.f64 x (cos.f64 y)) 1)
(+.f64 (cos.f64 y) x)
(pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 1/3)
(+.f64 (cos.f64 y) x)
(pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 3)
(+.f64 (cos.f64 y) x)
(pow.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) 2)
(+.f64 (cos.f64 y) x)
(sqrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2))
(+.f64 (cos.f64 y) x)
(log.f64 (exp.f64 (+.f64 x (cos.f64 y))))
(+.f64 (cos.f64 y) x)
(cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3))
(+.f64 (cos.f64 y) x)
(log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y))))
(+.f64 (cos.f64 y) x)
(exp.f64 (log.f64 (+.f64 x (cos.f64 y))))
(+.f64 (cos.f64 y) x)
(fma.f64 1 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(fma.f64 1 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) x)
(+.f64 (cos.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))
(+.f64 (cos.f64 y) x)
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)
(+.f64 (cos.f64 y) x)
(-.f64 (+.f64 1 (log1p.f64 (+.f64 x (cos.f64 y)))) 1)
(log1p.f64 (+.f64 (cos.f64 y) x))
(*.f64 (log1p.f64 (+.f64 x (cos.f64 y))) 1)
(log1p.f64 (+.f64 (cos.f64 y) x))
(*.f64 1 (log1p.f64 (+.f64 x (cos.f64 y))))
(log1p.f64 (+.f64 (cos.f64 y) x))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 2))
(log1p.f64 (+.f64 (cos.f64 y) x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 2) (cbrt.f64 (log1p.f64 (+.f64 x (cos.f64 y)))))
(log1p.f64 (+.f64 (cos.f64 y) x))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (sqrt.f64 (log1p.f64 (+.f64 x (cos.f64 y)))))
(log1p.f64 (+.f64 (cos.f64 y) x))
(pow.f64 (log1p.f64 (+.f64 x (cos.f64 y))) 1)
(log1p.f64 (+.f64 (cos.f64 y) x))
(pow.f64 (pow.f64 (log1p.f64 (+.f64 x (cos.f64 y))) 3) 1/3)
(log1p.f64 (+.f64 (cos.f64 y) x))
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 3)
(log1p.f64 (+.f64 (cos.f64 y) x))
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 2)
(log1p.f64 (+.f64 (cos.f64 y) x))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 x (cos.f64 y))) 2))
(log1p.f64 (+.f64 (cos.f64 y) x))
(log.f64 (+.f64 (+.f64 x (cos.f64 y)) 1))
(log1p.f64 (+.f64 (cos.f64 y) x))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 x (cos.f64 y))) 3))
(log1p.f64 (+.f64 (cos.f64 y) x))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 x (cos.f64 y)))))
(log1p.f64 (+.f64 (cos.f64 y) x))
(exp.f64 (log.f64 (log1p.f64 (+.f64 x (cos.f64 y)))))
(log1p.f64 (+.f64 (cos.f64 y) x))

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiled 39 to 10 computations (74.4% saved)

series1.2s (3%)

Counts
3 → 53
Calls

18 calls:

TimeVariablePointExpression
399.0ms
y
@0
(sqrt.f64 (sin.f64 y))
397.0ms
y
@0
(*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y)))
373.0ms
y
@0
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
2.0ms
y
@inf
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
2.0ms
x
@0
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
Compiler

Compiled 105515 to 84359 computations (20.1% saved)

rewrite55.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
571×prod-diff_binary64
518×log-prod_binary64
345×pow-prod-down_binary64
282×pow2_binary64
243×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01138
123227
2309525
Stop Event
node limit
Counts
3 → 79
Calls
Call 1
Inputs
(*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y)))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
(sqrt.f64 (sin.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 z (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) (*.f64 z z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (sin.f64 y) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (sin.f64 y)) 1) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) 2) (cbrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) (sqrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (+.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x (cos.f64 y))) (exp.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (cos.f64 y)))) (exp.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 z (sin.f64 y))) (+.f64 1 (expm1.f64 (+.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 1/6) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 1/4) (pow.f64 (sin.f64 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 1))))))

simplify60.0ms (0.1%)

Algorithm
egg-herbie
Rules
715×fma-def_binary64
416×unswap-sqr_binary64
399×log-prod_binary64
335×times-frac_binary64
292×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01901641
14421417
215481403
353761403
Stop Event
node limit
Counts
132 → 110
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 1 x)
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) (cos.f64 y))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
x
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
x
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 0 (*.f64 z (sqrt.f64 (sin.f64 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))))
(-.f64 0 (*.f64 z (sqrt.f64 (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))) 1)
(pow.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) 1)
(pow.f64 (*.f64 (sin.f64 y) (*.f64 z z)) 1/2)
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))) 3)
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))) 2)
(neg.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))
(sqrt.f64 (*.f64 (sin.f64 y) (*.f64 z z)))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))) 1))
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(+.f64 0 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)))
(+.f64 (*.f64 (*.f64 z (sin.f64 y)) 1) (+.f64 x (cos.f64 y)))
(+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))
(+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)))) 1)
(*.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)) 1)
(*.f64 1 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)))
(*.f64 (cbrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) 2) (cbrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))
(*.f64 (sqrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) (sqrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (+.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(pow.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)) 1)
(pow.f64 (pow.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) 3)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) 2)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)))))
(log.f64 (*.f64 (exp.f64 (+.f64 x (cos.f64 y))) (exp.f64 (*.f64 z (sin.f64 y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (cos.f64 y)))) (exp.f64 (*.f64 z (sin.f64 y)))))
(log.f64 (*.f64 (exp.f64 (*.f64 z (sin.f64 y))) (+.f64 1 (expm1.f64 (+.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))
(exp.f64 (log.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) 1))
(+.f64 0 (sqrt.f64 (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sin.f64 y)))) 1)
(*.f64 (sqrt.f64 (sin.f64 y)) 1)
(*.f64 1 (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/6))
(*.f64 (pow.f64 (sin.f64 y) 1/6) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (sin.f64 y) 1/4) (pow.f64 (sin.f64 y) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (sin.f64 y)))
(pow.f64 (sin.f64 y) 1/2)
(pow.f64 (sqrt.f64 (sin.f64 y)) 1)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/4)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/6)
(pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3/2)
(pow.f64 (pow.f64 (sin.f64 y) 1/6) 3)
(pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)
(fabs.f64 (sqrt.f64 (sin.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (sin.f64 y)))))
(cbrt.f64 (pow.f64 (sin.f64 y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 y))))
(exp.f64 (log.f64 (sqrt.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 1))
Outputs
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 -1 (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)))
(neg.f64 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)))
(neg.f64 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 1 x)
(+.f64 x 1)
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
x
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
x
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))) x))
(+.f64 (fma.f64 -1 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 0 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))))
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(-.f64 0 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))) 1)
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(pow.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) 1)
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(pow.f64 (*.f64 (sin.f64 y) (*.f64 z z)) 1/2)
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) 3) 1/3)
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))) 3)
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))) 2)
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(neg.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(sqrt.f64 (*.f64 (sin.f64 y) (*.f64 z z)))
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))))
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) 3))
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))) 1))
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(+.f64 0 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(+.f64 (*.f64 (*.f64 z (sin.f64 y)) 1) (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)))) 1)
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(*.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)) 1)
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(*.f64 1 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(*.f64 (cbrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) 2))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) 2) (cbrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(*.f64 (sqrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) (sqrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (+.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (+.f64 (cos.f64 y) x) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (+.f64 (cos.f64 y) x) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (+.f64 (cos.f64 y) x) (+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (+.f64 (cos.f64 y) x) 3)) (fma.f64 (+.f64 (cos.f64 y) x) (+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z))) (pow.f64 (*.f64 (sin.f64 y) z) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (+.f64 (cos.f64 y) x) 2)) (-.f64 (*.f64 (sin.f64 y) z) (+.f64 (cos.f64 y) x)))
(pow.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)) 1)
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(pow.f64 (pow.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)) 2) 1/2)
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(pow.f64 (pow.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)) 3) 1/3)
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) 3)
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) 2)
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)) 2))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(log.f64 (exp.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)))))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(log.f64 (*.f64 (exp.f64 (+.f64 x (cos.f64 y))) (exp.f64 (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (cos.f64 y)))) (exp.f64 (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(log.f64 (*.f64 (exp.f64 (*.f64 z (sin.f64 y))) (+.f64 1 (expm1.f64 (+.f64 x (cos.f64 y))))))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)) 3))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(exp.f64 (log.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) 1))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(+.f64 0 (sqrt.f64 (sin.f64 y)))
(sqrt.f64 (sin.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))))
(sqrt.f64 (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sin.f64 y)))) 1)
(sqrt.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) 1)
(sqrt.f64 (sin.f64 y))
(*.f64 1 (sqrt.f64 (sin.f64 y)))
(sqrt.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/6))
(pow.f64 (pow.f64 (sin.f64 y) 1/6) 3)
(pow.f64 (pow.f64 (sin.f64 y) 1/12) 6)
(*.f64 (pow.f64 (sin.f64 y) 1/6) (cbrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/6))
(pow.f64 (pow.f64 (sin.f64 y) 1/6) 3)
(pow.f64 (pow.f64 (sin.f64 y) 1/12) 6)
(*.f64 (pow.f64 (sin.f64 y) 1/4) (pow.f64 (sin.f64 y) 1/4))
(sqrt.f64 (sin.f64 y))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (sin.f64 y)))
(sqrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/2)
(sqrt.f64 (sin.f64 y))
(pow.f64 (sqrt.f64 (sin.f64 y)) 1)
(sqrt.f64 (sin.f64 y))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/4)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/6)
(pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3)
(sqrt.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (sin.f64 y)) 3/2)
(pow.f64 (pow.f64 (sin.f64 y) 1/6) 3)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/6))
(pow.f64 (pow.f64 (sin.f64 y) 1/12) 6)
(pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)
(sqrt.f64 (sin.f64 y))
(fabs.f64 (sqrt.f64 (sin.f64 y)))
(sqrt.f64 (sin.f64 y))
(log.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))
(sqrt.f64 (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (sin.f64 y)))))
(sqrt.f64 (sin.f64 y))
(cbrt.f64 (pow.f64 (sin.f64 y) 3/2))
(sqrt.f64 (sin.f64 y))
(expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 y))))
(sqrt.f64 (sin.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 y))))
(sqrt.f64 (sin.f64 y))
(exp.f64 (log.f64 (sqrt.f64 (sin.f64 y))))
(sqrt.f64 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1/2))
(sqrt.f64 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 1))
(sqrt.f64 (sin.f64 y))

eval539.0ms (1.3%)

Compiler

Compiled 21475 to 9275 computations (56.8% saved)

prune188.0ms (0.5%)

Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New84210852
Fresh3710
Picked101
Done224
Total84819867
Error
0b
Counts
867 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
33.6b
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
41.8b
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) x)
29.4b
(fma.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
26.6b
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
23.6b
(pow.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2))) (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (-.f64 x (cos.f64 y))))) 3)
29.4b
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
19.7b
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))) 3)
26.6b
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
26.6b
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
21.7b
(-.f64 (cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y)))
9.8b
(-.f64 x (/.f64 (-.f64 (*.f64 z (*.f64 z (*.f64 (sin.f64 y) (sin.f64 y)))) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y))))
23.2b
(-.f64 x (-.f64 (*.f64 y z) 1))
24.7b
(-.f64 x -1)
17.6b
(+.f64 (cos.f64 y) x)
1.5b
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))))
44.8b
(*.f64 (sin.f64 y) (neg.f64 z))
57.3b
(*.f64 y (neg.f64 z))
53.7b
(neg.f64 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)))
36.1b
x
Compiler

Compiled 562 to 336 computations (40.2% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))))
0.4b
(pow.f64 (*.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))) 2)
0.5b
(cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))
0.5b
(cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))
Compiler

Compiled 133 to 17 computations (87.2% saved)

series24.4s (60.9%)

Counts
4 → 80
Calls

36 calls:

TimeVariablePointExpression
3.3s
x
@-inf
(pow.f64 (*.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))) 2)
3.0s
z
@inf
(pow.f64 (*.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))) 2)
2.8s
x
@inf
(pow.f64 (*.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))) 2)
2.7s
z
@-inf
(pow.f64 (*.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))) 2)
1.9s
x
@inf
(*.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))))
Compiler

Compiled 1636340 to 1318552 computations (19.4% saved)

rewrite72.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
604×prod-diff_binary64
599×log-prod_binary64
330×pow2_binary64
253×fma-def_binary64
232×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
014105
129477
2366975
Stop Event
node limit
Counts
4 → 94
Calls
Call 1
Inputs
(cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))
(cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))
(pow.f64 (*.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))) 2)
(*.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2))) 1)))) (#(struct:change #<rule egg-rr> 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 4/3 (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 4/3 (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) 1))))))

simplify217.0ms (0.5%)

Algorithm
egg-herbie
Rules
541×associate-*l*_binary64
477×times-frac_binary64
458×fma-def_binary64
391×associate-/r*_binary64
370×associate-/l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067412884920695
1214417006
Stop Event
node limit
Counts
174 → 270
Calls
Call 1
Inputs
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3)
(+.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) (*.f64 1/3 (/.f64 x (pow.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2) 1/3))))
(+.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) (+.f64 (*.f64 -1/9 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) (pow.f64 x 2)) (*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2) 1/3) 2)))) (*.f64 1/3 (/.f64 x (pow.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2) 1/3)))))
(+.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2) 1/3) 3))) (*.f64 2/9 (/.f64 1 (*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2) 1/3) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2) 1/3) 2))))) (pow.f64 x 3)) (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2))) (+.f64 (*.f64 -1/9 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) (pow.f64 x 2)) (*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2) 1/3) 2)))) (*.f64 1/3 (/.f64 x (pow.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2) 1/3))))))
(pow.f64 (+.f64 (cos.f64 y) x) 1/3)
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 z (sin.f64 y)) (pow.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 2) 1/3))) (pow.f64 (+.f64 (cos.f64 y) x) 1/3))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 z (sin.f64 y)) (pow.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 2) 1/3))) (+.f64 (*.f64 -1/9 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 z 2) (pow.f64 (+.f64 (cos.f64 y) x) 1/3))) (*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 2) 1/3) 2) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 2)))) (pow.f64 (+.f64 (cos.f64 y) x) 1/3)))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 z (sin.f64 y)) (pow.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 2) 1/3))) (+.f64 (*.f64 -1/9 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 z 2) (pow.f64 (+.f64 (cos.f64 y) x) 1/3))) (*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 2) 1/3) 2) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 2)))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) (*.f64 -1/3 (/.f64 (*.f64 (+.f64 (*.f64 2/9 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y)) (*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 2) 1/3) 2) (pow.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 2) 1/3)))) (*.f64 -1/27 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 2) 1/3) 3)))) (pow.f64 z 3)) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 2))))))
(pow.f64 (+.f64 1 x) 1/3)
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 y z) (pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/3) 2) 1/3))) (pow.f64 (+.f64 1 x) 1/3))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 y z) (pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/3) 2) 1/3))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 1/2 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (+.f64 1 x) 1/3)) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/3) 2) 1/3) 2))))) (pow.f64 (pow.f64 (+.f64 1 x) 1/3) 2))) (pow.f64 (+.f64 1 x) 1/3)))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 y z) (pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/3) 2) 1/3))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/6 z) (+.f64 (*.f64 -1/27 (/.f64 (pow.f64 z 3) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/3) 2) 1/3) 3))) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 x) 1/3) (*.f64 z (+.f64 1/2 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (+.f64 1 x) 1/3)) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/3) 2) 1/3) 2)))))) (*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/3) 2) 1/3) (pow.f64 (pow.f64 (+.f64 1 x) 1/3) 2)))))) (pow.f64 y 3)) (pow.f64 (pow.f64 (+.f64 1 x) 1/3) 2))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 1/2 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (+.f64 1 x) 1/3)) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/3) 2) 1/3) 2))))) (pow.f64 (pow.f64 (+.f64 1 x) 1/3) 2))) (pow.f64 (+.f64 1 x) 1/3))))
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 1/3)
(+.f64 (*.f64 1/9 (/.f64 x (*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2) 1/3) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 1/3) 2) 1/3)))) (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 1/3))
(+.f64 (*.f64 1/9 (/.f64 x (*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2) 1/3) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 1/3) 2) 1/3)))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 -1/9 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) (*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2) 1/3) 2)))) (*.f64 1/27 (/.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 1/3) (*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2) 1/3) 2) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 1/3) 2) 1/3) 2))))) (pow.f64 x 2)) (pow.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 1/3) 2))) (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 1/3)))
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(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))
(exp.f64 (*.f64 4/3 (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))
(exp.f64 (*.f64 (*.f64 4/3 (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) 1))
Outputs
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3)
(cbrt.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(cbrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))
(+.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) (*.f64 1/3 (/.f64 x (pow.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2) 1/3))))
(+.f64 (cbrt.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))) (*.f64 1/3 (/.f64 x (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))) 2)))))
(fma.f64 1/3 (/.f64 x (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) 2))) (cbrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))
(+.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) (+.f64 (*.f64 -1/9 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) (pow.f64 x 2)) (*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2) 1/3) 2)))) (*.f64 1/3 (/.f64 x (pow.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2) 1/3)))))
(+.f64 (cbrt.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))) (fma.f64 -1/9 (/.f64 (cbrt.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))) 2)) 2)) (*.f64 x x))) (*.f64 1/3 (/.f64 x (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))) 2))))))
(+.f64 (cbrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (fma.f64 -1/9 (/.f64 (cbrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) 2) x) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) 2)) 2) x))) (/.f64 (*.f64 1/3 x) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) 2)))))
(+.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2) 1/3) 3))) (*.f64 2/9 (/.f64 1 (*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2) 1/3) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2) 1/3) 2))))) (pow.f64 x 3)) (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2))) (+.f64 (*.f64 -1/9 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) (pow.f64 x 2)) (*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2) 1/3) 2)))) (*.f64 1/3 (/.f64 x (pow.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) 2) 1/3))))))
(+.f64 (cbrt.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))) (fma.f64 -1/3 (/.f64 (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))) 2)) 3)) (/.f64 2/9 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))) 2)) 3))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))) 2) (pow.f64 x 3))) (fma.f64 -1/9 (/.f64 (cbrt.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))) 2)) 2)) (*.f64 x x))) (*.f64 1/3 (/.f64 x (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))) 2)))))))
(+.f64 (cbrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (fma.f64 -1/3 (*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) 2)) -5/27) (pow.f64 (cbrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) 2)) (pow.f64 x 3)) (fma.f64 -1/9 (/.f64 (cbrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) 2) x) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) 2)) 2) x))) (/.f64 (*.f64 1/3 x) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) 2))))))
(pow.f64 (+.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 z (sin.f64 y)) (pow.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 2) 1/3))) (pow.f64 (+.f64 (cos.f64 y) x) 1/3))
(fma.f64 -1/3 (/.f64 (*.f64 z (sin.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2))) (cbrt.f64 (+.f64 (cos.f64 y) x)))
(fma.f64 -1/3 (*.f64 (/.f64 z (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2))) (sin.f64 y)) (cbrt.f64 (+.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 z (sin.f64 y)) (pow.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 2) 1/3))) (+.f64 (*.f64 -1/9 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 z 2) (pow.f64 (+.f64 (cos.f64 y) x) 1/3))) (*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 2) 1/3) 2) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 2)))) (pow.f64 (+.f64 (cos.f64 y) x) 1/3)))
(fma.f64 -1/3 (/.f64 (*.f64 z (sin.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2))) (fma.f64 -1/9 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2)) 2)) (/.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) (*.f64 z z)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2))) (cbrt.f64 (+.f64 (cos.f64 y) x))))
(fma.f64 -1/3 (*.f64 (/.f64 z (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2))) (sin.f64 y)) (fma.f64 -1/9 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2)) 2)) (/.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) (*.f64 z z)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2))) (cbrt.f64 (+.f64 (cos.f64 y) x))))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 z (sin.f64 y)) (pow.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 2) 1/3))) (+.f64 (*.f64 -1/9 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 z 2) (pow.f64 (+.f64 (cos.f64 y) x) 1/3))) (*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 2) 1/3) 2) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 2)))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) (*.f64 -1/3 (/.f64 (*.f64 (+.f64 (*.f64 2/9 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y)) (*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 2) 1/3) 2) (pow.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 2) 1/3)))) (*.f64 -1/27 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 2) 1/3) 3)))) (pow.f64 z 3)) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 2))))))
(fma.f64 -1/3 (/.f64 (*.f64 z (sin.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2))) (+.f64 (fma.f64 -1/9 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2)) 2)) (/.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) (*.f64 z z)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2))) (cbrt.f64 (+.f64 (cos.f64 y) x))) (*.f64 -1/3 (/.f64 (fma.f64 2/9 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2)) 3)) (*.f64 -1/27 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2)) 3)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2) (pow.f64 z 3))))))
(fma.f64 -1/3 (*.f64 (/.f64 z (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2))) (sin.f64 y)) (fma.f64 -1/9 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2)) 2)) (/.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) (*.f64 z z)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2))) (fma.f64 -1/3 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2)) 5/27) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2)) (pow.f64 z 3)) (cbrt.f64 (+.f64 (cos.f64 y) x)))))
(pow.f64 (+.f64 1 x) 1/3)
(cbrt.f64 (+.f64 x 1))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 y z) (pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/3) 2) 1/3))) (pow.f64 (+.f64 1 x) 1/3))
(fma.f64 -1/3 (/.f64 (*.f64 z y) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (cbrt.f64 (+.f64 x 1)))
(fma.f64 -1/3 (/.f64 z (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) y)) (cbrt.f64 (+.f64 x 1)))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 y z) (pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/3) 2) 1/3))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 1/2 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (+.f64 1 x) 1/3)) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/3) 2) 1/3) 2))))) (pow.f64 (pow.f64 (+.f64 1 x) 1/3) 2))) (pow.f64 (+.f64 1 x) 1/3)))
(fma.f64 -1/3 (/.f64 (*.f64 z y) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (fma.f64 -1/3 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 1/2 (*.f64 1/3 (/.f64 (*.f64 (*.f64 z z) (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 2)))))) (cbrt.f64 (+.f64 x 1))))
(fma.f64 -1/3 (/.f64 z (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) y)) (fma.f64 -1/3 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (fma.f64 1/3 (/.f64 (*.f64 z z) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 2) (cbrt.f64 (+.f64 x 1)))) 1/2)) (cbrt.f64 (+.f64 x 1))))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 y z) (pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/3) 2) 1/3))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/6 z) (+.f64 (*.f64 -1/27 (/.f64 (pow.f64 z 3) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/3) 2) 1/3) 3))) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 x) 1/3) (*.f64 z (+.f64 1/2 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (+.f64 1 x) 1/3)) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/3) 2) 1/3) 2)))))) (*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/3) 2) 1/3) (pow.f64 (pow.f64 (+.f64 1 x) 1/3) 2)))))) (pow.f64 y 3)) (pow.f64 (pow.f64 (+.f64 1 x) 1/3) 2))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 1/2 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (+.f64 1 x) 1/3)) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/3) 2) 1/3) 2))))) (pow.f64 (pow.f64 (+.f64 1 x) 1/3) 2))) (pow.f64 (+.f64 1 x) 1/3))))
(fma.f64 -1/3 (/.f64 (*.f64 z y) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (fma.f64 1/3 (/.f64 (-.f64 (*.f64 z 1/6) (fma.f64 -1/27 (/.f64 (pow.f64 z 3) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 3)) (*.f64 2/3 (/.f64 (*.f64 (*.f64 z (cbrt.f64 (+.f64 x 1))) (+.f64 1/2 (*.f64 1/3 (/.f64 (*.f64 (*.f64 z z) (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 2))))) (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 y 3))) (fma.f64 -1/3 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 1/2 (*.f64 1/3 (/.f64 (*.f64 (*.f64 z z) (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 2)))))) (cbrt.f64 (+.f64 x 1)))))
(fma.f64 -1/3 (/.f64 z (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) y)) (fma.f64 1/3 (*.f64 (/.f64 (-.f64 (*.f64 z 1/6) (fma.f64 -1/27 (/.f64 (pow.f64 z 3) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) 2/3) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 1/3 (/.f64 (*.f64 z z) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 2) (cbrt.f64 (+.f64 x 1)))) 1/2)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) z))))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (pow.f64 y 3)) (fma.f64 -1/3 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (fma.f64 1/3 (/.f64 (*.f64 z z) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 2) (cbrt.f64 (+.f64 x 1)))) 1/2)) (cbrt.f64 (+.f64 x 1)))))
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))
(cbrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))
(cbrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))
(cbrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))
(cbrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))
(cbrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))
(cbrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))
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(pow.f64 (pow.f64 (+.f64 1 x) 1/3) 1/3)
(cbrt.f64 (cbrt.f64 (+.f64 x 1)))
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(*.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) (cbrt.f64 (cbrt.f64 (+.f64 (cos.f64 y) x))))
(+.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 1/3)) (*.f64 z (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 1/3) (sin.f64 y)) (pow.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 2) 1/3))) (*.f64 -1/9 (/.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) (sin.f64 y)) (*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 2) 1/3) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) 1/3) 2) 1/3)))))))
(fma.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) (cbrt.f64 (cbrt.f64 (+.f64 (cos.f64 y) x))) (*.f64 z (fma.f64 -1/3 (/.f64 (*.f64 (sin.f64 y) (cbrt.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2))) (/.f64 (*.f64 -1/9 (*.f64 (sin.f64 y) (cbrt.f64 (+.f64 (cos.f64 y) x)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (cos.f64 y) x))) 2)))))))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2))) 1)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) 2)
(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))) (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))
(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))) (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))) 4))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))) (*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))
(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))) (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))) 4))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) 2)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) 2)) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))) (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) 2)
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))
(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))) (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))) 4))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))
(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))) (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))) 4))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 4))
(sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2)))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2))))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) 2)
(cbrt.f64 (pow.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) 2))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2)))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2)))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) 2)
(exp.f64 (*.f64 2 (*.f64 4/3 (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))
(exp.f64 (*.f64 8/3 (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))
(pow.f64 (exp.f64 8/3) (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))
(exp.f64 (*.f64 (*.f64 2 (*.f64 4/3 (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 1))
(exp.f64 (*.f64 8/3 (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))
(pow.f64 (exp.f64 8/3) (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))
(+.f64 0 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))
(cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))) 1)
(cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) 4/3)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) 2/3) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) 2/3))
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))) 4)
(pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 1)
(cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2) 1/2)
(cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) 2)) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))) 3)
(cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))
(pow.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2))
(cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))
(fabs.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))
(cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))
(cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))))
(cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))
(cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))
(cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))
(cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))
(cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))
(exp.f64 (*.f64 4/3 (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) 2/3) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) 2/3))
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))) 4)
(exp.f64 (*.f64 (*.f64 4/3 (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) 1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) 2/3) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) 2/3))
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))) 4)

localize4.0ms (0%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
Compiler

Compiled 18 to 7 computations (61.1% saved)

series10.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
2.0ms
y
@-inf
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
2.0ms
z
@inf
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
2.0ms
z
@0
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
1.0ms
z
@-inf
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
Compiler

Compiled 305 to 239 computations (21.6% saved)

rewrite37.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
598×pow1_binary64
547×add-log-exp_binary64
546×log1p-expm1-u_binary64
546×expm1-log1p-u_binary64
534×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0711
11409
217159
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) z) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 y) z) 1) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (sin.f64 y) z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 y) z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))) (sqrt.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)) (pow.f64 (cos.f64 y) 2)) (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))))))))

simplify48.0ms (0.1%)

Algorithm
egg-herbie
Rules
754×fma-neg_binary64
410×associate-*l*_binary64
370×log-prod_binary64
358×associate-*r*_binary64
331×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
072535
1191511
2673502
33492479
47045479
Stop Event
node limit
Counts
45 → 53
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(cos.f64 y)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 (sin.f64 y) z) (cos.f64 y))
(+.f64 (*.f64 (*.f64 (sin.f64 y) z) 1) (cos.f64 y))
(-.f64 (+.f64 1 (fma.f64 (sin.f64 y) z (cos.f64 y))) 1)
(*.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) 1)
(*.f64 1 (fma.f64 (sin.f64 y) z (cos.f64 y)))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))) (sqrt.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)) (pow.f64 (cos.f64 y) 2)) (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)))
(pow.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) 1)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))))
Outputs
1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (neg.f64 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 y (neg.f64 z) 1)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (*.f64 -1/2 (*.f64 y y))))
(+.f64 1 (-.f64 (*.f64 y (*.f64 y -1/2)) (*.f64 y z)))
(+.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))))
(+.f64 1 (-.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/6 (*.f64 z (pow.f64 y 3)))) (*.f64 y z)))
(+.f64 1 (fma.f64 z (*.f64 1/6 (pow.f64 y 3)) (*.f64 y (-.f64 (*.f64 y -1/2) z))))
(+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (fma.f64 z (*.f64 1/6 (pow.f64 y 3)) 1))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(cos.f64 y)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (cos.f64 y))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(+.f64 (*.f64 (sin.f64 y) z) (cos.f64 y))
(fma.f64 (sin.f64 y) z (cos.f64 y))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(+.f64 (*.f64 (*.f64 (sin.f64 y) z) 1) (cos.f64 y))
(fma.f64 (sin.f64 y) z (cos.f64 y))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(-.f64 (+.f64 1 (fma.f64 (sin.f64 y) z (cos.f64 y))) 1)
(fma.f64 (sin.f64 y) z (cos.f64 y))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(*.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) 1)
(fma.f64 (sin.f64 y) z (cos.f64 y))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(*.f64 1 (fma.f64 (sin.f64 y) z (cos.f64 y)))
(fma.f64 (sin.f64 y) z (cos.f64 y))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))) 2))
(fma.f64 (sin.f64 y) z (cos.f64 y))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))))
(fma.f64 (sin.f64 y) z (cos.f64 y))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))) (sqrt.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))))
(fma.f64 (sin.f64 y) z (cos.f64 y))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (sin.f64 y) (*.f64 (*.f64 z z) (sin.f64 y)) (*.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (cos.f64 y) 3)) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (cos.f64 y) 3)) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (*.f64 (sin.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)) (pow.f64 (cos.f64 y) 2)) (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)))
(/.f64 (-.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) 2)) (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(/.f64 (-.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 z z) (sin.f64 y))) (pow.f64 (cos.f64 y) 2)) (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(/.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))
(/.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 1)
(pow.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) 1)
(fma.f64 (sin.f64 y) z (cos.f64 y))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) 3) 1/3)
(fma.f64 (sin.f64 y) z (cos.f64 y))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))) 3)
(fma.f64 (sin.f64 y) z (cos.f64 y))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))) 2)
(fma.f64 (sin.f64 y) z (cos.f64 y))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) 2))
(fma.f64 (sin.f64 y) z (cos.f64 y))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))))
(fma.f64 (sin.f64 y) z (cos.f64 y))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) 3))
(fma.f64 (sin.f64 y) z (cos.f64 y))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))))
(fma.f64 (sin.f64 y) z (cos.f64 y))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))))
(fma.f64 (sin.f64 y) z (cos.f64 y))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))))
(fma.f64 (sin.f64 y) z (cos.f64 y))
(fma.f64 z (sin.f64 y) (cos.f64 y))

localize20.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (cos.f64 y))
0.1b
(*.f64 z (sin.f64 y))
0.2b
(pow.f64 (+.f64 x (cos.f64 y)) 3)
20.4b
(cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3))
Compiler

Compiled 44 to 17 computations (61.4% saved)

series83.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
24.0ms
x
@0
(cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3))
17.0ms
y
@0
(cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3))
6.0ms
y
@0
(pow.f64 (+.f64 x (cos.f64 y)) 3)
6.0ms
x
@inf
(pow.f64 (+.f64 x (cos.f64 y)) 3)
5.0ms
x
@-inf
(pow.f64 (+.f64 x (cos.f64 y)) 3)
Compiler

Compiled 6758 to 5098 computations (24.6% saved)

rewrite50.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
781×pow1_binary64
734×add-log-exp_binary64
734×log1p-expm1-u_binary64
734×expm1-log1p-u_binary64
716×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
117515
2200415
Stop Event
node limit
Counts
2 → 67
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3))
(pow.f64 (+.f64 x (cos.f64 y)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) 1/3) (cbrt.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (*.f64 x x) (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (neg.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (neg.f64 (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (pow.f64 (+.f64 x (cos.f64 y)) 2)) (*.f64 (cos.f64 y) (pow.f64 (+.f64 x (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (*.f64 x (pow.f64 (+.f64 x (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) x) (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (cos.f64 y)) (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (cos.f64 y)) (pow.f64 (+.f64 x (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (*.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3/2) (pow.f64 (+.f64 x (cos.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) 3) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) 3) (pow.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) 1) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2)) (cbrt.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (sqrt.f64 (+.f64 x (cos.f64 y)))) (sqrt.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) 3) (pow.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) 3) (pow.f64 (-.f64 x (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (-.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (+.f64 x (cos.f64 y)))))))))

simplify79.0ms (0.2%)

Algorithm
egg-herbie
Rules
310×cancel-sign-sub-inv_binary64
293×fma-neg_binary64
271×fma-def_binary64
222×associate-*r*_binary64
200×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03703346
111902720
248372485
Stop Event
node limit
Counts
115 → 186
Calls
Call 1
Inputs
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) x) (pow.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2) 1/3))) (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) x) (pow.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2) 1/3))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) (pow.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) 2)) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2) 1/3) 2)))) (pow.f64 x 2)) (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2))) (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) x) (pow.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2) 1/3))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) (pow.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) 2)) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2) 1/3) 2)))) (pow.f64 x 2)) (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2))) (+.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) (*.f64 1/3 (/.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (*.f64 (-.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) (pow.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) 2)) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2) 1/3) 2)))) (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))) (*.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2) (pow.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2) 1/3)))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) (-.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) (pow.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) 2)) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2) 1/3) 2)))))) (*.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2) (pow.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2) 1/3)))) (*.f64 1/27 (/.f64 (pow.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) 3) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2) 1/3) 3)))))) (pow.f64 x 3)) (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2))))))
x
(+.f64 (*.f64 1/3 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y))) x)
(+.f64 (*.f64 1/3 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (*.f64 1/3 (pow.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) 2))) x)) x))
(+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (*.f64 1/27 (pow.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) 3)) (*.f64 2/3 (*.f64 (-.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (*.f64 1/3 (pow.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) 2))) (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)))))) (pow.f64 (/.f64 1 x) 2))) (+.f64 (*.f64 1/3 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (*.f64 1/3 (pow.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) 2))) x)) x)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) x))
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/3 (/.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 (+.f64 (*.f64 -1 (pow.f64 (cos.f64 y) 2)) (*.f64 -2 (pow.f64 (cos.f64 y) 2))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) 2) (cbrt.f64 -1)) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3) 2)))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) x))) (+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/3 (/.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)))))
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(/.f64 (pow.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) 3) (pow.f64 (-.f64 x (cos.f64 y)) 3))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (-.f64 x (cos.f64 y)))
(sqrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 6))
(log.f64 (exp.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3)))
(exp.f64 (*.f64 3 (log.f64 (+.f64 x (cos.f64 y)))))
Outputs
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) x) (pow.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2) 1/3))) (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(fma.f64 1/3 (/.f64 (*.f64 3 (pow.f64 (cos.f64 y) 2)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) 2)) x)) (cbrt.f64 (pow.f64 (cos.f64 y) 3)))
(fma.f64 1/3 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 3) (cbrt.f64 (pow.f64 (cos.f64 y) 2))) x) (cos.f64 y))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) x) (pow.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2) 1/3))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) (pow.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) 2)) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2) 1/3) 2)))) (pow.f64 x 2)) (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2))) (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)))
(fma.f64 1/3 (/.f64 (*.f64 3 (pow.f64 (cos.f64 y) 2)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) 2)) x)) (fma.f64 1/3 (/.f64 (+.f64 (*.f64 3 (cos.f64 y)) (*.f64 -1/3 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) 2)) 2) (pow.f64 (*.f64 3 (pow.f64 (cos.f64 y) 2)) 2))))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) 2) (*.f64 x x))) (cbrt.f64 (pow.f64 (cos.f64 y) 3))))
(fma.f64 1/3 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 3) (cbrt.f64 (pow.f64 (cos.f64 y) 2))) x) (fma.f64 1/3 (*.f64 (/.f64 (fma.f64 3 (cos.f64 y) (*.f64 (*.f64 (/.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) 2)) (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 3) 2)) -1/3)) (pow.f64 (cos.f64 y) 2)) (*.f64 x x)) (cos.f64 y)))
(fma.f64 1/3 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 3) (cbrt.f64 (pow.f64 (cos.f64 y) 2))) x) (fma.f64 1/3 (*.f64 (/.f64 (fma.f64 (cos.f64 y) 3 (*.f64 (*.f64 (/.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) 2)) (*.f64 9 (pow.f64 (cos.f64 y) 4))) -1/3)) (pow.f64 (cos.f64 y) 2)) (*.f64 x x)) (cos.f64 y)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) x) (pow.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2) 1/3))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) (pow.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) 2)) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2) 1/3) 2)))) (pow.f64 x 2)) (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2))) (+.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) (*.f64 1/3 (/.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (*.f64 (-.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) (pow.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) 2)) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2) 1/3) 2)))) (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))) (*.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2) (pow.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2) 1/3)))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) (-.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) (pow.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) 2)) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2) 1/3) 2)))))) (*.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2) (pow.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2) 1/3)))) (*.f64 1/27 (/.f64 (pow.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) 3) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2) 1/3) 3)))))) (pow.f64 x 3)) (pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) 2))))))
(fma.f64 1/3 (/.f64 (*.f64 3 (pow.f64 (cos.f64 y) 2)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) 2)) x)) (+.f64 (fma.f64 1/3 (/.f64 (+.f64 (*.f64 3 (cos.f64 y)) (*.f64 -1/3 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) 2)) 2) (pow.f64 (*.f64 3 (pow.f64 (cos.f64 y) 2)) 2))))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) 2) (*.f64 x x))) (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (*.f64 1/3 (/.f64 (-.f64 1 (fma.f64 1/3 (/.f64 (*.f64 (*.f64 (*.f64 3 (pow.f64 (cos.f64 y) 2)) (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (+.f64 (*.f64 3 (cos.f64 y)) (*.f64 -1/3 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) 2)) 2) (pow.f64 (*.f64 3 (pow.f64 (cos.f64 y) 2)) 2)))))) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) 2)))) (fma.f64 1/3 (/.f64 (*.f64 (*.f64 (*.f64 3 (pow.f64 (cos.f64 y) 2)) (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (+.f64 (*.f64 3 (cos.f64 y)) (*.f64 -1/3 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) 2)) 2) (pow.f64 (*.f64 3 (pow.f64 (cos.f64 y) 2)) 2)))))) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) 2)))) (/.f64 (*.f64 1/27 (pow.f64 (*.f64 3 (pow.f64 (cos.f64 y) 2)) 3)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) 2)) 3))))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) 2) (pow.f64 x 3))))))
(fma.f64 1/3 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 3) (cbrt.f64 (pow.f64 (cos.f64 y) 2))) x) (fma.f64 1/3 (*.f64 (/.f64 (fma.f64 3 (cos.f64 y) (*.f64 (*.f64 (/.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) 2)) (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 3) 2)) -1/3)) (pow.f64 (cos.f64 y) 2)) (*.f64 x x)) (fma.f64 1/3 (*.f64 (/.f64 (-.f64 1 (+.f64 (*.f64 1/27 (/.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 3) 3) (pow.f64 (cos.f64 y) 2))) (*.f64 (*.f64 (/.f64 (*.f64 3 (pow.f64 (cos.f64 y) 3)) (pow.f64 (cos.f64 y) 2)) (/.f64 (fma.f64 3 (cos.f64 y) (*.f64 (*.f64 (/.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) 2)) (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 3) 2)) -1/3)) (cbrt.f64 (pow.f64 (cos.f64 y) 2)))) 2/3))) (pow.f64 (cos.f64 y) 2)) (pow.f64 x 3)) (cos.f64 y))))
(fma.f64 1/3 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 3) (cbrt.f64 (pow.f64 (cos.f64 y) 2))) x) (fma.f64 1/3 (*.f64 (/.f64 (fma.f64 (cos.f64 y) 3 (*.f64 (*.f64 (/.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) 2)) (*.f64 9 (pow.f64 (cos.f64 y) 4))) -1/3)) (pow.f64 (cos.f64 y) 2)) (*.f64 x x)) (fma.f64 1/3 (*.f64 (/.f64 (+.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 (cos.f64 y) 3 (*.f64 (*.f64 (/.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) 2)) (*.f64 9 (pow.f64 (cos.f64 y) 4))) -1/3)) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (cos.f64 y))) 2)) (*.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 3) 3) (pow.f64 (cos.f64 y) 2)) -1/27)) (pow.f64 (cos.f64 y) 2)) (pow.f64 x 3)) (cos.f64 y))))
x
(+.f64 (*.f64 1/3 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y))) x)
(fma.f64 1/3 (*.f64 3 (cos.f64 y)) x)
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 1/3 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (*.f64 1/3 (pow.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) 2))) x)) x))
(fma.f64 1/3 (*.f64 3 (cos.f64 y)) x)
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (*.f64 1/27 (pow.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) 3)) (*.f64 2/3 (*.f64 (-.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (*.f64 1/3 (pow.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) 2))) (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)))))) (pow.f64 (/.f64 1 x) 2))) (+.f64 (*.f64 1/3 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (*.f64 1/3 (pow.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) 2))) x)) x)))
(fma.f64 1/3 (*.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (fma.f64 1/27 (pow.f64 (*.f64 3 (cos.f64 y)) 3) (*.f64 2/3 (*.f64 (*.f64 3 (cos.f64 y)) (+.f64 (*.f64 3 (pow.f64 (cos.f64 y) 2)) (*.f64 -1/3 (pow.f64 (*.f64 3 (cos.f64 y)) 2))))))) (pow.f64 (/.f64 1 x) 2)) (fma.f64 1/3 (*.f64 3 (cos.f64 y)) (fma.f64 1/3 (/.f64 (+.f64 (*.f64 3 (pow.f64 (cos.f64 y) 2)) (*.f64 -1/3 (pow.f64 (*.f64 3 (cos.f64 y)) 2))) x) x)))
(fma.f64 (*.f64 1/3 (-.f64 (pow.f64 (cos.f64 y) 3) (fma.f64 1/27 (*.f64 27 (pow.f64 (cos.f64 y) 3)) (*.f64 (*.f64 (cos.f64 y) 3) (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 3) (*.f64 (pow.f64 (cos.f64 y) 2) 3)) 2/3))))) (pow.f64 (/.f64 1 x) 2) (+.f64 (cos.f64 y) (fma.f64 1/3 (/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 3) (*.f64 (pow.f64 (cos.f64 y) 2) 3)) x) x)))
(fma.f64 (*.f64 1/3 (-.f64 (pow.f64 (cos.f64 y) 3) (+.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (cos.f64 y) 0)))) (/.f64 (/.f64 1 x) x) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 (cbrt.f64 -1) x))
(neg.f64 (*.f64 x (cbrt.f64 -1)))
(*.f64 (cbrt.f64 -1) (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/3 (/.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))))
(fma.f64 -1 (*.f64 x (cbrt.f64 -1)) (/.f64 (*.f64 1/3 (*.f64 3 (cos.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))))
(-.f64 (/.f64 (cos.f64 y) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 x (cbrt.f64 -1)))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 (+.f64 (*.f64 -1 (pow.f64 (cos.f64 y) 2)) (*.f64 -2 (pow.f64 (cos.f64 y) 2))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) 2) (cbrt.f64 -1)) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3) 2)))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) x))) (+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/3 (/.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)))))
(fma.f64 -1/3 (/.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) -3) (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (*.f64 3 (cos.f64 y)) 2) (cbrt.f64 -1)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) 2)))) (*.f64 x (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 -1 (*.f64 x (cbrt.f64 -1)) (/.f64 (*.f64 1/3 (*.f64 3 (cos.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)))))
(fma.f64 -1/3 (/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) -3) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 3) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) 2) (cbrt.f64 -1)))) (*.f64 x (pow.f64 (cbrt.f64 -1) 2))) (-.f64 (/.f64 (cos.f64 y) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 x (cbrt.f64 -1))))
(fma.f64 -1/3 (/.f64 (fma.f64 (pow.f64 (cos.f64 y) 2) -3 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) -3) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) 2) (cbrt.f64 -1)))) (*.f64 x (pow.f64 (cbrt.f64 -1) 2))) (-.f64 (/.f64 (cos.f64 y) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 x (cbrt.f64 -1))))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 (+.f64 (*.f64 -1 (pow.f64 (cos.f64 y) 2)) (*.f64 -2 (pow.f64 (cos.f64 y) 2))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) 2) (cbrt.f64 -1)) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3) 2)))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) x))) (+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (*.f64 1/27 (/.f64 (pow.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) 3) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3) 3))) (*.f64 2/3 (/.f64 (*.f64 (cbrt.f64 -1) (*.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) (-.f64 (+.f64 (*.f64 -1 (pow.f64 (cos.f64 y) 2)) (*.f64 -2 (pow.f64 (cos.f64 y) 2))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 2 (cos.f64 y)) (cos.f64 y)) 2) (cbrt.f64 -1)) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3) 2)))))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)))))) (pow.f64 (/.f64 -1 x) 2)) (pow.f64 (cbrt.f64 -1) 2))))))
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(+.f64 (cos.f64 y) x)
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) 1/3) (cbrt.f64 (+.f64 x (cos.f64 y))))
(fma.f64 1/3 (*.f64 3 (cos.f64 y)) x)
(+.f64 (cos.f64 y) x)
(*.f64 (pow.f64 1 1/3) (+.f64 x (cos.f64 y)))
(fma.f64 1/3 (*.f64 3 (cos.f64 y)) x)
(+.f64 (cos.f64 y) x)
(*.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3/2)) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3/2)))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 1 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (*.f64 x x) (*.f64 x (cos.f64 y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (neg.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (neg.f64 (-.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(pow.f64 (+.f64 x (cos.f64 y)) 1)
(fma.f64 1/3 (*.f64 3 (cos.f64 y)) x)
(+.f64 (cos.f64 y) x)
(pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 1/3)
(fma.f64 1/3 (*.f64 3 (cos.f64 y)) x)
(+.f64 (cos.f64 y) x)
(pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 3)
(fma.f64 1/3 (*.f64 3 (cos.f64 y)) x)
(+.f64 (cos.f64 y) x)
(pow.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) 2)
(fma.f64 1/3 (*.f64 3 (cos.f64 y)) x)
(+.f64 (cos.f64 y) x)
(sqrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2))
(fma.f64 1/3 (*.f64 3 (cos.f64 y)) x)
(+.f64 (cos.f64 y) x)
(log.f64 (exp.f64 (+.f64 x (cos.f64 y))))
(fma.f64 1/3 (*.f64 3 (cos.f64 y)) x)
(+.f64 (cos.f64 y) x)
(expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y))))
(fma.f64 1/3 (*.f64 3 (cos.f64 y)) x)
(+.f64 (cos.f64 y) x)
(log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y))))
(fma.f64 1/3 (*.f64 3 (cos.f64 y)) x)
(+.f64 (cos.f64 y) x)
(exp.f64 (log.f64 (+.f64 x (cos.f64 y))))
(fma.f64 1/3 (*.f64 3 (cos.f64 y)) x)
(+.f64 (cos.f64 y) x)
(fma.f64 1 x (cos.f64 y))
(fma.f64 1/3 (*.f64 3 (cos.f64 y)) x)
(+.f64 (cos.f64 y) x)
(fma.f64 1 (cos.f64 y) x)
(fma.f64 1/3 (*.f64 3 (cos.f64 y)) x)
(+.f64 (cos.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))
(fma.f64 1/3 (*.f64 3 (cos.f64 y)) x)
(+.f64 (cos.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) x)
(fma.f64 1/3 (*.f64 3 (cos.f64 y)) x)
(+.f64 (cos.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))
(fma.f64 1/3 (*.f64 3 (cos.f64 y)) x)
(+.f64 (cos.f64 y) x)
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)
(fma.f64 1/3 (*.f64 3 (cos.f64 y)) x)
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 x (pow.f64 (+.f64 x (cos.f64 y)) 2)) (*.f64 (cos.f64 y) (pow.f64 (+.f64 x (cos.f64 y)) 2)))
(pow.f64 (+.f64 (cos.f64 y) x) 3)
(+.f64 (*.f64 (cos.f64 y) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (*.f64 x (pow.f64 (+.f64 x (cos.f64 y)) 2)))
(pow.f64 (+.f64 (cos.f64 y) x) 3)
(+.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) x) (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (cos.f64 y)))
(pow.f64 (+.f64 (cos.f64 y) x) 3)
(+.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (cos.f64 y)) (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) x))
(pow.f64 (+.f64 (cos.f64 y) x) 3)
(-.f64 (+.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 3)) 1)
(pow.f64 (+.f64 (cos.f64 y) x) 3)
(*.f64 (+.f64 x (cos.f64 y)) (pow.f64 (+.f64 x (cos.f64 y)) 2))
(pow.f64 (+.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 1)
(pow.f64 (+.f64 (cos.f64 y) x) 3)
(*.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 3))
(pow.f64 (+.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (+.f64 x (cos.f64 y)))
(pow.f64 (+.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (*.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) 2)))
(pow.f64 (+.f64 (cos.f64 y) x) 3)
(*.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) 2)))
(pow.f64 (+.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3/2) (pow.f64 (+.f64 x (cos.f64 y)) 3/2))
(pow.f64 (+.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) 3) (+.f64 x (cos.f64 y)))
(pow.f64 (+.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) 3) (pow.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) 3))
(pow.f64 (+.f64 (cos.f64 y) x) 3)
(*.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) 1) (+.f64 x (cos.f64 y)))
(pow.f64 (+.f64 (cos.f64 y) x) 3)
(*.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2)) (cbrt.f64 (+.f64 x (cos.f64 y))))
(pow.f64 (+.f64 (cos.f64 y) x) 3)
(*.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (sqrt.f64 (+.f64 x (cos.f64 y)))) (sqrt.f64 (+.f64 x (cos.f64 y))))
(pow.f64 (+.f64 (cos.f64 y) x) 3)
(/.f64 (pow.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) 3) (pow.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) 3))
(/.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 3) (pow.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) 3))
(/.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 3) (pow.f64 (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)) 3))
(/.f64 (pow.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) 3) (pow.f64 (-.f64 x (cos.f64 y)) 3))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (/.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))))
(/.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2))) (pow.f64 (+.f64 (cos.f64 y) x) 2))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))))
(*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (-.f64 x (cos.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (/.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))))
(/.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2))) (pow.f64 (+.f64 (cos.f64 y) x) 2))
(/.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (-.f64 x (cos.f64 y)))
(/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))))
(*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (-.f64 x (cos.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)))
(sqrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 6))
(pow.f64 (+.f64 (cos.f64 y) x) 3)
(log.f64 (exp.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3)))
(pow.f64 (+.f64 (cos.f64 y) x) 3)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 3))
(pow.f64 (+.f64 (cos.f64 y) x) 3)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3)))
(pow.f64 (+.f64 (cos.f64 y) x) 3)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3)))
(pow.f64 (+.f64 (cos.f64 y) x) 3)
(exp.f64 (*.f64 3 (log.f64 (+.f64 x (cos.f64 y)))))
(pow.f64 (+.f64 (cos.f64 y) x) 3)

localize48.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (sin.f64 y) (sin.f64 y))
2.2b
(*.f64 z (*.f64 z (*.f64 (sin.f64 y) (sin.f64 y))))
4.0b
(*.f64 z (*.f64 (sin.f64 y) (sin.f64 y)))
8.8b
(/.f64 (-.f64 (*.f64 z (*.f64 z (*.f64 (sin.f64 y) (sin.f64 y)))) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
Compiler

Compiled 100 to 24 computations (76% saved)

series66.0ms (0.2%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
31.0ms
y
@-inf
(*.f64 z (*.f64 (sin.f64 y) (sin.f64 y)))
4.0ms
y
@inf
(/.f64 (-.f64 (*.f64 z (*.f64 z (*.f64 (sin.f64 y) (sin.f64 y)))) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
4.0ms
y
@-inf
(/.f64 (-.f64 (*.f64 z (*.f64 z (*.f64 (sin.f64 y) (sin.f64 y)))) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
3.0ms
z
@0
(/.f64 (-.f64 (*.f64 z (*.f64 z (*.f64 (sin.f64 y) (sin.f64 y)))) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
2.0ms
z
@inf
(/.f64 (-.f64 (*.f64 z (*.f64 z (*.f64 (sin.f64 y) (sin.f64 y)))) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
Compiler

Compiled 1416 to 1111 computations (21.5% saved)

rewrite77.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
757×log-prod_binary64
431×fma-def_binary64
264×pow1/3_binary64
261×fma-neg_binary64
259×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01358
129552
2419252
Stop Event
node limit
Counts
4 → 127
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 z (*.f64 z (*.f64 (sin.f64 y) (sin.f64 y)))) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(*.f64 z (*.f64 (sin.f64 y) (sin.f64 y)))
(*.f64 z (*.f64 z (*.f64 (sin.f64 y) (sin.f64 y))))
(*.f64 (sin.f64 y) (sin.f64 y))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)) z)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 (+.f64 y y))) z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (cos.f64 (+.f64 y y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 z 3) (pow.f64 (pow.f64 (sin.f64 y) 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 3) (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) 4) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (pow.f64 (sin.f64 y) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (pow.f64 (sin.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (pow.f64 (sin.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 (sin.f64 y)) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 (sin.f64 y)) (log.f64 z)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z z) (-.f64 1 (cos.f64 (+.f64 y y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 z (sin.f64 y)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (neg.f64 (*.f64 (cos.f64 (+.f64 y y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 (cos.f64 (+.f64 y y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (/.f64 (cos.f64 (+.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 (+.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (cos.f64 (+.f64 y y)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/8 (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) 1/2) 3)) (+.f64 1/4 (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) 1/2) (*.f64 (cos.f64 (+.f64 y y)) 1/2) (*.f64 1/2 (*.f64 (cos.f64 (+.f64 y y)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (*.f64 (cos.f64 (+.f64 y y)) 1/2) (*.f64 (cos.f64 (+.f64 y y)) 1/2))) (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (-.f64 1 (cos.f64 (+.f64 y y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 y))) 1))))))

simplify97.0ms (0.2%)

Algorithm
egg-herbie
Rules
604×times-frac_binary64
377×associate-/r*_binary64
253×associate-/l/_binary64
241×associate-/r/_binary64
171×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03934570
19354203
234774028
Stop Event
node limit
Counts
211 → 255
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (*.f64 z (sin.f64 y)))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(+.f64 (*.f64 -1 (cos.f64 y)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y)))
(+.f64 (*.f64 -1 (cos.f64 y)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y)))
(+.f64 (*.f64 -1 (cos.f64 y)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y)))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(+.f64 (*.f64 -1 (cos.f64 y)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y)))
(+.f64 (*.f64 -1 (cos.f64 y)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y)))
(+.f64 (*.f64 -1 (cos.f64 y)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y)))
-1
(-.f64 (*.f64 y z) 1)
(-.f64 (+.f64 (*.f64 y z) (*.f64 1/2 (pow.f64 y 2))) 1)
(-.f64 (+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/2 z) (+.f64 (*.f64 1/2 z) (*.f64 1/6 z))))) (*.f64 1/2 (pow.f64 y 2)))) 1)
(/.f64 (-.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 (pow.f64 y 2) z)
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 y 4) z)) (*.f64 (pow.f64 y 2) z))
(+.f64 (*.f64 2/45 (*.f64 z (pow.f64 y 6))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 y 4) z)) (*.f64 (pow.f64 y 2) z)))
(+.f64 (*.f64 2/45 (*.f64 z (pow.f64 y 6))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 y 4) z)) (+.f64 (*.f64 -1/315 (*.f64 (pow.f64 y 8) z)) (*.f64 (pow.f64 y 2) z))))
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (/.f64 1 z) -2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (/.f64 1 z) -2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (/.f64 1 z) -2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (/.f64 1 z) -2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (/.f64 -1 z) -2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (/.f64 -1 z) -2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (/.f64 -1 z) -2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (/.f64 -1 z) -2))
(*.f64 (pow.f64 z 2) (pow.f64 y 2))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 z 2) (pow.f64 y 4))) (*.f64 (pow.f64 z 2) (pow.f64 y 2)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 z 2) (pow.f64 y 4))) (+.f64 (*.f64 (pow.f64 z 2) (pow.f64 y 2)) (*.f64 2/45 (*.f64 (pow.f64 z 2) (pow.f64 y 6)))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 z 2) (pow.f64 y 4))) (+.f64 (*.f64 -1/315 (*.f64 (pow.f64 y 8) (pow.f64 z 2))) (+.f64 (*.f64 (pow.f64 z 2) (pow.f64 y 2)) (*.f64 2/45 (*.f64 (pow.f64 z 2) (pow.f64 y 6))))))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2))
(pow.f64 y 2)
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (pow.f64 y 2))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (pow.f64 y 2)))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8)))))
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(+.f64 0 (/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y))))
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(pow.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)) 3)
(pow.f64 (*.f64 z (sin.f64 y)) 2)
(pow.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(exp.f64 (*.f64 2 (log.f64 (*.f64 z (sin.f64 y)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 z (sin.f64 y)))) 1))
(+.f64 0 (pow.f64 (sin.f64 y) 2))
(+.f64 1/2 (neg.f64 (*.f64 (cos.f64 (+.f64 y y)) 1/2)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 y y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)))))
(-.f64 1/2 (*.f64 (cos.f64 (+.f64 y y)) 1/2))
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 y y)) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 2))) 1)
(/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (+.f64 y y)))))
(/.f64 (-.f64 1 (cos.f64 (+.f64 y y))) 2)
(/.f64 (neg.f64 (-.f64 1 (cos.f64 (+.f64 y y)))) -2)
(/.f64 (-.f64 1/8 (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) 1/2) 3)) (+.f64 1/4 (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) 1/2) (*.f64 (cos.f64 (+.f64 y y)) 1/2) (*.f64 1/2 (*.f64 (cos.f64 (+.f64 y y)) 1/2)))))
(/.f64 (-.f64 1/4 (*.f64 (*.f64 (cos.f64 (+.f64 y y)) 1/2) (*.f64 (cos.f64 (+.f64 y y)) 1/2))) (pow.f64 (cos.f64 y) 2))
(pow.f64 (sin.f64 y) 2)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1)
(pow.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 3) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 3)
(pow.f64 (/.f64 2 (-.f64 1 (cos.f64 (+.f64 y y)))) -1)
(sqrt.f64 (pow.f64 (sin.f64 y) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 y) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 y) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 y) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 y))) 1))
Outputs
(*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(/.f64 (neg.f64 (pow.f64 (cos.f64 y) 2)) (cos.f64 y))
(/.f64 (neg.f64 (cos.f64 y)) 1)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (*.f64 1 (cos.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (*.f64 1 (cos.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (*.f64 1 (cos.f64 y)))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y)) z)
(+.f64 (*.f64 -1 (cos.f64 y)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y)))
(fma.f64 -1 (cos.f64 y) (/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (sin.f64 y) z)))
(-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y)) z) (cos.f64 y))
(+.f64 (*.f64 -1 (cos.f64 y)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y)))
(fma.f64 -1 (cos.f64 y) (/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (sin.f64 y) z)))
(-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y)) z) (cos.f64 y))
(+.f64 (*.f64 -1 (cos.f64 y)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y)))
(fma.f64 -1 (cos.f64 y) (/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (sin.f64 y) z)))
(-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y)) z) (cos.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y)) z)
(+.f64 (*.f64 -1 (cos.f64 y)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y)))
(fma.f64 -1 (cos.f64 y) (/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (sin.f64 y) z)))
(-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y)) z) (cos.f64 y))
(+.f64 (*.f64 -1 (cos.f64 y)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y)))
(fma.f64 -1 (cos.f64 y) (/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (sin.f64 y) z)))
(-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y)) z) (cos.f64 y))
(+.f64 (*.f64 -1 (cos.f64 y)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y)))
(fma.f64 -1 (cos.f64 y) (/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (sin.f64 y) z)))
(-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y)) z) (cos.f64 y))
-1
(-.f64 (*.f64 y z) 1)
(fma.f64 y z -1)
(-.f64 (+.f64 (*.f64 y z) (*.f64 1/2 (pow.f64 y 2))) 1)
(+.f64 (fma.f64 y z (*.f64 1/2 (*.f64 y y))) -1)
(fma.f64 y z (fma.f64 1/2 (*.f64 y y) -1))
(fma.f64 y z (fma.f64 y (*.f64 y 1/2) -1))
(-.f64 (+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/2 z) (+.f64 (*.f64 1/2 z) (*.f64 1/6 z))))) (*.f64 1/2 (pow.f64 y 2)))) 1)
(+.f64 (fma.f64 y z (fma.f64 -1 (*.f64 (pow.f64 y 3) (fma.f64 -1/2 z (*.f64 z 2/3))) (*.f64 1/2 (*.f64 y y)))) -1)
(+.f64 -1 (fma.f64 y z (-.f64 (*.f64 1/2 (*.f64 y y)) (*.f64 (pow.f64 y 3) (*.f64 z 1/6)))))
(+.f64 (*.f64 (*.f64 y y) (-.f64 1/2 (*.f64 (*.f64 z 1/6) y))) (fma.f64 y z -1))
(/.f64 (-.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(/.f64 (-.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(/.f64 (-.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(/.f64 (-.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(/.f64 (-.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(/.f64 (-.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(/.f64 (-.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(/.f64 (-.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 z (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 z (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 z (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 z (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 z (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 z (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 z (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 z (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 z (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 z (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 z (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 z (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 y 2) z)
(*.f64 z (*.f64 y y))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 y 4) z)) (*.f64 (pow.f64 y 2) z))
(fma.f64 -1/3 (*.f64 z (pow.f64 y 4)) (*.f64 z (*.f64 y y)))
(*.f64 z (fma.f64 y y (*.f64 -1/3 (pow.f64 y 4))))
(+.f64 (*.f64 2/45 (*.f64 z (pow.f64 y 6))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 y 4) z)) (*.f64 (pow.f64 y 2) z)))
(fma.f64 2/45 (*.f64 z (pow.f64 y 6)) (fma.f64 -1/3 (*.f64 z (pow.f64 y 4)) (*.f64 z (*.f64 y y))))
(fma.f64 2/45 (*.f64 z (pow.f64 y 6)) (*.f64 z (fma.f64 y y (*.f64 -1/3 (pow.f64 y 4)))))
(*.f64 z (fma.f64 -1/3 (pow.f64 y 4) (fma.f64 2/45 (pow.f64 y 6) (*.f64 y y))))
(+.f64 (*.f64 2/45 (*.f64 z (pow.f64 y 6))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 y 4) z)) (+.f64 (*.f64 -1/315 (*.f64 (pow.f64 y 8) z)) (*.f64 (pow.f64 y 2) z))))
(fma.f64 2/45 (*.f64 z (pow.f64 y 6)) (fma.f64 -1/3 (*.f64 z (pow.f64 y 4)) (fma.f64 -1/315 (*.f64 z (pow.f64 y 8)) (*.f64 z (*.f64 y y)))))
(fma.f64 2/45 (*.f64 z (pow.f64 y 6)) (fma.f64 -1/3 (*.f64 z (pow.f64 y 4)) (*.f64 z (fma.f64 y y (*.f64 -1/315 (pow.f64 y 8))))))
(+.f64 (*.f64 z (*.f64 -1/3 (pow.f64 y 4))) (*.f64 z (fma.f64 2/45 (pow.f64 y 6) (fma.f64 -1/315 (pow.f64 y 8) (*.f64 y y)))))
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 z (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 z (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 z (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 z (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 z (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 z (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 z (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 (sin.f64 y) 2) z)
(*.f64 z (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z))
(pow.f64 (*.f64 z (sin.f64 y)) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z))
(pow.f64 (*.f64 z (sin.f64 y)) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z))
(pow.f64 (*.f64 z (sin.f64 y)) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z))
(pow.f64 (*.f64 z (sin.f64 y)) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (/.f64 1 z) -2))
(*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z))
(pow.f64 (*.f64 z (sin.f64 y)) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (/.f64 1 z) -2))
(*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z))
(pow.f64 (*.f64 z (sin.f64 y)) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (/.f64 1 z) -2))
(*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z))
(pow.f64 (*.f64 z (sin.f64 y)) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (/.f64 1 z) -2))
(*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z))
(pow.f64 (*.f64 z (sin.f64 y)) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (/.f64 -1 z) -2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (/.f64 -1 z) -2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (/.f64 -1 z) -2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (/.f64 -1 z) -2))
(*.f64 (pow.f64 z 2) (pow.f64 y 2))
(*.f64 (*.f64 y y) (*.f64 z z))
(*.f64 y (*.f64 y (*.f64 z z)))
(*.f64 z (*.f64 z (*.f64 y y)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 z 2) (pow.f64 y 4))) (*.f64 (pow.f64 z 2) (pow.f64 y 2)))
(fma.f64 -1/3 (*.f64 (*.f64 z z) (pow.f64 y 4)) (*.f64 (*.f64 y y) (*.f64 z z)))
(fma.f64 (*.f64 y y) (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 -1/3 (pow.f64 y 4))))
(*.f64 (*.f64 z z) (fma.f64 y y (*.f64 -1/3 (pow.f64 y 4))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 z 2) (pow.f64 y 4))) (+.f64 (*.f64 (pow.f64 z 2) (pow.f64 y 2)) (*.f64 2/45 (*.f64 (pow.f64 z 2) (pow.f64 y 6)))))
(fma.f64 -1/3 (*.f64 (*.f64 z z) (pow.f64 y 4)) (fma.f64 (*.f64 z z) (*.f64 y y) (*.f64 (*.f64 2/45 (*.f64 z z)) (pow.f64 y 6))))
(fma.f64 (*.f64 (*.f64 z z) -1/3) (pow.f64 y 4) (fma.f64 (*.f64 y y) (*.f64 z z) (*.f64 (pow.f64 y 6) (*.f64 (*.f64 z z) 2/45))))
(fma.f64 (*.f64 (*.f64 z z) -1/3) (pow.f64 y 4) (*.f64 (*.f64 z z) (fma.f64 2/45 (pow.f64 y 6) (*.f64 y y))))
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(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 y y))))
(fma.f64 -1/2 (cos.f64 (+.f64 y y)) 1/2)
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 y y)) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 2))) 1)
(pow.f64 (sin.f64 y) 2)
(/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (+.f64 y y)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 y y))))
(fma.f64 -1/2 (cos.f64 (+.f64 y y)) 1/2)
(/.f64 (-.f64 1 (cos.f64 (+.f64 y y))) 2)
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 y y)) 2))
(/.f64 (neg.f64 (-.f64 1 (cos.f64 (+.f64 y y)))) -2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 y y))))
(fma.f64 -1/2 (cos.f64 (+.f64 y y)) 1/2)
(/.f64 (-.f64 1/8 (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) 1/2) 3)) (+.f64 1/4 (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) 1/2) (*.f64 (cos.f64 (+.f64 y y)) 1/2) (*.f64 1/2 (*.f64 (cos.f64 (+.f64 y y)) 1/2)))))
(/.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 y y)) 3) 1/8)) (+.f64 1/4 (+.f64 (*.f64 (*.f64 (cos.f64 (+.f64 y y)) (cos.f64 (+.f64 y y))) 1/4) (*.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 y y)))))))
(/.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 y y))) 3)) (+.f64 1/4 (*.f64 (+.f64 (cos.f64 (+.f64 y y)) 1) (*.f64 (cos.f64 (+.f64 y y)) 1/4))))
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 y y)) 3) -1/8)) (+.f64 1/4 (*.f64 (cos.f64 (+.f64 y y)) (+.f64 (*.f64 (cos.f64 (+.f64 y y)) 1/4) 1/4))))
(/.f64 (-.f64 1/4 (*.f64 (*.f64 (cos.f64 (+.f64 y y)) 1/2) (*.f64 (cos.f64 (+.f64 y y)) 1/2))) (pow.f64 (cos.f64 y) 2))
(/.f64 (-.f64 1/4 (*.f64 (*.f64 (cos.f64 (+.f64 y y)) (cos.f64 (+.f64 y y))) 1/4)) (pow.f64 (cos.f64 y) 2))
(/.f64 (-.f64 1/4 (*.f64 (cos.f64 (+.f64 y y)) (*.f64 (cos.f64 (+.f64 y y)) 1/4))) (pow.f64 (cos.f64 y) 2))
(/.f64 (+.f64 1/4 (*.f64 (cos.f64 (+.f64 y y)) (*.f64 (cos.f64 (+.f64 y y)) -1/4))) (pow.f64 (cos.f64 y) 2))
(pow.f64 (sin.f64 y) 2)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 3) 1/3)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 3)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (/.f64 2 (-.f64 1 (cos.f64 (+.f64 y y)))) -1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 y y))))
(fma.f64 -1/2 (cos.f64 (+.f64 y y)) 1/2)
(sqrt.f64 (pow.f64 (sin.f64 y) 4))
(pow.f64 (sin.f64 y) 2)
(log.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 y) 2))))
(pow.f64 (sin.f64 y) 2)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 3))
(pow.f64 (sin.f64 y) 2)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 2)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 2)
(exp.f64 (*.f64 2 (log.f64 (sin.f64 y))))
(pow.f64 (sin.f64 y) 2)
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 2))
(pow.f64 (sin.f64 y) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 y))) 1))
(pow.f64 (sin.f64 y) 2)

eval1.1s (2.7%)

Compiler

Compiled 71300 to 35608 computations (50.1% saved)

prune267.0ms (0.7%)

Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New106751072
Fresh3912
Picked101
Done156
Total1072191091
Error
0b
Counts
1091 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
29.4b
(fma.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
26.6b
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
23.6b
(pow.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2))) (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (-.f64 x (cos.f64 y))))) 3)
29.4b
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
19.7b
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))) 3)
26.6b
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
26.6b
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
21.7b
(-.f64 (cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y)))
23.4b
(-.f64 x (/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (sin.f64 y) z)))
24.7b
(-.f64 x -1)
46.5b
(-.f64 1 (*.f64 y z))
17.6b
(+.f64 (cos.f64 y) x)
47.2b
(+.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))
44.8b
(*.f64 (sin.f64 y) (neg.f64 z))
57.3b
(*.f64 y (neg.f64 z))
53.7b
(neg.f64 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)))
44.2b
(cos.f64 y)
36.1b
x
51.0b
1
Compiler

Compiled 394 to 259 computations (34.3% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 11 to 5 computations (54.5% saved)

series6.0ms (0%)

Counts
1 → 7
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@0
(+.f64 (cos.f64 y) x)
1.0ms
x
@0
(+.f64 (cos.f64 y) x)
1.0ms
y
@inf
(+.f64 (cos.f64 y) x)
1.0ms
y
@-inf
(+.f64 (cos.f64 y) x)
1.0ms
x
@inf
(+.f64 (cos.f64 y) x)
Compiler

Compiled 260 to 206 computations (20.8% saved)

rewrite40.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
612×pow1_binary64
569×add-log-exp_binary64
569×log1p-expm1-u_binary64
569×expm1-log1p-u_binary64
556×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
11086
215116
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(+.f64 (cos.f64 y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2) (cbrt.f64 (+.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (sqrt.f64 (+.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))) (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))))))

simplify41.0ms (0.1%)

Algorithm
egg-herbie
Rules
548×fma-neg_binary64
409×cancel-sign-sub-inv_binary64
401×associate-*l*_binary64
359×div-sub_binary64
350×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0100569
1259460
2778376
34392376
Stop Event
node limit
Counts
40 → 53
Calls
Call 1
Inputs
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(cos.f64 y)
x
x
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)))
(*.f64 (+.f64 (cos.f64 y) x) 1)
(*.f64 1 (+.f64 (cos.f64 y) x))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2) (cbrt.f64 (+.f64 (cos.f64 y) x)))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (sqrt.f64 (+.f64 (cos.f64 y) x)))
(*.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))))
(*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (cos.f64 y) x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))) (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) x))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(pow.f64 (+.f64 (cos.f64 y) x) 1)
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 3)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) 2)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 y) x)))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 y) x)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) x)))
(exp.f64 (log.f64 (+.f64 (cos.f64 y) x)))
(fma.f64 1 (cos.f64 y) x)
(fma.f64 1 x (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))
Outputs
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) x))
(+.f64 1 (fma.f64 y (*.f64 -1/2 y) x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)))
(+.f64 (fma.f64 1/24 (pow.f64 y 4) x) (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)) (fma.f64 -1/720 (pow.f64 y 6) 1))
(+.f64 1 (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x))))
(+.f64 (fma.f64 1/24 (pow.f64 y 4) x) (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (*.f64 y y) 1)))
(cos.f64 y)
x
x
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(*.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(*.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2) (cbrt.f64 (+.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (sqrt.f64 (+.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(*.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))) (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 1 (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x))))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(pow.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) 1/3)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 3)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) 2)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(log.f64 (exp.f64 (+.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(exp.f64 (log.f64 (+.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(fma.f64 1 (cos.f64 y) x)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(fma.f64 1 x (cos.f64 y))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) x)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))

localize5.0ms (0%)

Compiler

Compiled 14 to 7 computations (50% saved)

localize3.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize13.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (sin.f64 y))
0.1b
(*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))
0.2b
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
Compiler

Compiled 31 to 15 computations (51.6% saved)

series1.4s (3.5%)

Counts
2 → 0
Calls

9 calls:

TimeVariablePointExpression
698.0ms
y
@0
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
689.0ms
y
@0
(*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))
2.0ms
z
@0
(*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))
2.0ms
y
@inf
(*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))
2.0ms
z
@inf
(*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))
Compiler

Compiled 103716 to 86772 computations (16.3% saved)

rewrite44.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
608×pow1_binary64
560×add-log-exp_binary64
560×log1p-expm1-u_binary64
560×expm1-log1p-u_binary64
546×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
11639
215789
Stop Event
node limit
Counts
2 → 28
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 1/4) (*.f64 (pow.f64 (sin.f64 y) 1/4) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/4)) (pow.f64 (sin.f64 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))))))

simplify43.0ms (0.1%)

Algorithm
egg-herbie
Rules
598×distribute-rgt-in_binary64
588×distribute-lft-in_binary64
509×log-prod_binary64
372×*-commutative_binary64
360×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062309
1136231
2414153
32381153
47904153
Stop Event
node limit
Counts
28 → 35
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(*.f64 (sin.f64 y) 1)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 1 (sin.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (cbrt.f64 (sin.f64 y)) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (sin.f64 y) 1/4) (*.f64 (pow.f64 (sin.f64 y) 1/4) (sqrt.f64 (sin.f64 y))))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/4)) (pow.f64 (sin.f64 y) 1/4))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sqrt.f64 (sin.f64 y))))
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(log.f64 (exp.f64 (sin.f64 y)))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
Outputs
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(+.f64 (+.f64 1 (sin.f64 y)) -1)
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(+.f64 (+.f64 1 (sin.f64 y)) -1)
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(+.f64 (+.f64 1 (sin.f64 y)) -1)
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(+.f64 (+.f64 1 (sin.f64 y)) -1)
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(+.f64 (+.f64 1 (sin.f64 y)) -1)
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (sqrt.f64 (sin.f64 y)))))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sqrt.f64 (sin.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(+.f64 (+.f64 1 (sin.f64 y)) -1)
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(*.f64 (pow.f64 (sin.f64 y) 1/4) (*.f64 (pow.f64 (sin.f64 y) 1/4) (sqrt.f64 (sin.f64 y))))
(+.f64 (+.f64 1 (sin.f64 y)) -1)
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(*.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/4)) (pow.f64 (sin.f64 y) 1/4))
(+.f64 (+.f64 1 (sin.f64 y)) -1)
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(*.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (sqrt.f64 (sin.f64 y)))))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sqrt.f64 (sin.f64 y)))))
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(+.f64 (+.f64 1 (sin.f64 y)) -1)
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(log.f64 (exp.f64 (sin.f64 y)))
(+.f64 (+.f64 1 (sin.f64 y)) -1)
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(+.f64 (+.f64 1 (sin.f64 y)) -1)
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(sin.f64 y)
(+.f64 (+.f64 1 (sin.f64 y)) -1)
(+.f64 (sin.f64 y) 0)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(+.f64 (+.f64 1 (sin.f64 y)) -1)
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(log1p.f64 (expm1.f64 (sin.f64 y)))
(+.f64 (+.f64 1 (sin.f64 y)) -1)
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(+.f64 (+.f64 1 (sin.f64 y)) -1)
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) z) 1))
(+.f64 (*.f64 (sin.f64 y) z) 0)
(*.f64 (sin.f64 y) z)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) z) 1))
(+.f64 (*.f64 (sin.f64 y) z) 0)
(*.f64 (sin.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) z) 1))
(+.f64 (*.f64 (sin.f64 y) z) 0)
(*.f64 (sin.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) z) 1))
(+.f64 (*.f64 (sin.f64 y) z) 0)
(*.f64 (sin.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) z) 1))
(+.f64 (*.f64 (sin.f64 y) z) 0)
(*.f64 (sin.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) z) 1))
(+.f64 (*.f64 (sin.f64 y) z) 0)
(*.f64 (sin.f64 y) z)
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) z) 1))
(+.f64 (*.f64 (sin.f64 y) z) 0)
(*.f64 (sin.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) z) 1))
(+.f64 (*.f64 (sin.f64 y) z) 0)
(*.f64 (sin.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) z) 1))
(+.f64 (*.f64 (sin.f64 y) z) 0)
(*.f64 (sin.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) z) 1))
(+.f64 (*.f64 (sin.f64 y) z) 0)
(*.f64 (sin.f64 y) z)
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) z) 1))
(+.f64 (*.f64 (sin.f64 y) z) 0)
(*.f64 (sin.f64 y) z)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (sin.f64 y) z)))
0.1b
(/.f64 (sin.f64 y) z)
0.3b
(pow.f64 (sin.f64 y) 2)
12.4b
(/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (sin.f64 y) z))
Compiler

Compiled 37 to 15 computations (59.5% saved)

series63.0ms (0.2%)

Counts
4 → 68
Calls

24 calls:

TimeVariablePointExpression
23.0ms
y
@inf
(/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (sin.f64 y) z))
3.0ms
y
@-inf
(-.f64 x (/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (sin.f64 y) z)))
3.0ms
y
@0
(/.f64 (sin.f64 y) z)
2.0ms
y
@0
(/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (sin.f64 y) z))
2.0ms
y
@-inf
(pow.f64 (sin.f64 y) 2)
Compiler

Compiled 1661 to 1229 computations (26% saved)

rewrite92.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
748×prod-diff_binary64
586×log-prod_binary64
295×pow2_binary64
245×fma-def_binary64
204×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01043
122627
2323327
Stop Event
node limit
Counts
4 → 308
Calls
Call 1
Inputs
(/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (sin.f64 y) z))
(pow.f64 (sin.f64 y) 2)
(/.f64 (sin.f64 y) z)
(-.f64 x (/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (sin.f64 y) z)))
Outputs
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(log.f64 (*.f64 (sin.f64 y) z)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (pow.f64 (sin.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 3) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 y y)) (cos.f64 (+.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) z)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) z)) 2) (cbrt.f64 (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 y) z)) (sqrt.f64 (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sin.f64 y) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (sin.f64 y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 z (sin.f64 y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) z)) 1))))))
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simplify151.0ms (0.4%)

Algorithm
egg-herbie
Rules
341×log-prod_binary64
287×exp-prod_binary64
287×fma-def_binary64
204×associate-*l*_binary64
196×associate-*r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07529051
119096342
266006342
Stop Event
node limit
Counts
376 → 412
Calls
Call 1
Inputs
(*.f64 y z)
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 (*.f64 -1/3 z) (*.f64 -1/6 z))) (*.f64 y z))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 (*.f64 -1/3 z) (*.f64 -1/6 z))) (+.f64 (*.f64 y z) (*.f64 (pow.f64 y 5) (-.f64 (*.f64 2/45 z) (+.f64 (*.f64 1/120 z) (*.f64 -1/6 (-.f64 (*.f64 -1/3 z) (*.f64 -1/6 z))))))))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 (*.f64 -1/3 z) (*.f64 -1/6 z))) (+.f64 (*.f64 y z) (+.f64 (*.f64 (pow.f64 y 5) (-.f64 (*.f64 2/45 z) (+.f64 (*.f64 1/120 z) (*.f64 -1/6 (-.f64 (*.f64 -1/3 z) (*.f64 -1/6 z)))))) (*.f64 (-.f64 (*.f64 -1/315 z) (+.f64 (*.f64 1/120 (-.f64 (*.f64 -1/3 z) (*.f64 -1/6 z))) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 2/45 z) (+.f64 (*.f64 1/120 z) (*.f64 -1/6 (-.f64 (*.f64 -1/3 z) (*.f64 -1/6 z)))))) (*.f64 -1/5040 z)))) (pow.f64 y 7)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
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(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
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(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) z))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 (sin.f64 y) z)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 y) z))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2)) (*.f64 (sin.f64 y) z)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) z))) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) z)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) z))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))) (cbrt.f64 (*.f64 (sin.f64 y) z)) x)
Outputs
(*.f64 y z)
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 (*.f64 -1/3 z) (*.f64 -1/6 z))) (*.f64 y z))
(fma.f64 (pow.f64 y 3) (*.f64 z -1/6) (*.f64 y z))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 (*.f64 -1/3 z) (*.f64 -1/6 z))) (+.f64 (*.f64 y z) (*.f64 (pow.f64 y 5) (-.f64 (*.f64 2/45 z) (+.f64 (*.f64 1/120 z) (*.f64 -1/6 (-.f64 (*.f64 -1/3 z) (*.f64 -1/6 z))))))))
(fma.f64 (pow.f64 y 3) (*.f64 z -1/6) (fma.f64 y z (*.f64 (pow.f64 y 5) (-.f64 (*.f64 z 2/45) (fma.f64 1/120 z (*.f64 -1/6 (*.f64 z -1/6)))))))
(fma.f64 (pow.f64 y 3) (*.f64 z -1/6) (fma.f64 (pow.f64 y 5) (-.f64 (*.f64 z 13/360) (*.f64 z 1/36)) (*.f64 y z)))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 (*.f64 -1/3 z) (*.f64 -1/6 z))) (+.f64 (*.f64 y z) (+.f64 (*.f64 (pow.f64 y 5) (-.f64 (*.f64 2/45 z) (+.f64 (*.f64 1/120 z) (*.f64 -1/6 (-.f64 (*.f64 -1/3 z) (*.f64 -1/6 z)))))) (*.f64 (-.f64 (*.f64 -1/315 z) (+.f64 (*.f64 1/120 (-.f64 (*.f64 -1/3 z) (*.f64 -1/6 z))) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 2/45 z) (+.f64 (*.f64 1/120 z) (*.f64 -1/6 (-.f64 (*.f64 -1/3 z) (*.f64 -1/6 z)))))) (*.f64 -1/5040 z)))) (pow.f64 y 7)))))
(fma.f64 (pow.f64 y 3) (*.f64 z -1/6) (fma.f64 y z (fma.f64 (pow.f64 y 5) (-.f64 (*.f64 z 2/45) (fma.f64 1/120 z (*.f64 -1/6 (*.f64 z -1/6)))) (*.f64 (-.f64 (*.f64 z -1/315) (fma.f64 1/120 (*.f64 z -1/6) (fma.f64 -1/6 (-.f64 (*.f64 z 2/45) (fma.f64 1/120 z (*.f64 -1/6 (*.f64 z -1/6)))) (*.f64 z -1/5040)))) (pow.f64 y 7)))))
(fma.f64 (pow.f64 y 3) (*.f64 z -1/6) (fma.f64 y z (fma.f64 (-.f64 (-.f64 (*.f64 z -1/315) (*.f64 z -1/720)) (fma.f64 -1/6 (-.f64 (*.f64 z 13/360) (*.f64 z 1/36)) (*.f64 z -1/5040))) (pow.f64 y 7) (*.f64 (pow.f64 y 5) (-.f64 (*.f64 z 13/360) (*.f64 z 1/36))))))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (pow.f64 y 2))
(fma.f64 -1/3 (pow.f64 y 4) (*.f64 y y))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (pow.f64 y 2)))
(fma.f64 -1/3 (pow.f64 y 4) (fma.f64 2/45 (pow.f64 y 6) (*.f64 y y)))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8)))))
(fma.f64 -1/3 (pow.f64 y 4) (+.f64 (fma.f64 2/45 (pow.f64 y 6) (*.f64 y y)) (*.f64 -1/315 (pow.f64 y 8))))
(fma.f64 -1/3 (pow.f64 y 4) (fma.f64 2/45 (pow.f64 y 6) (fma.f64 -1/315 (pow.f64 y 8) (*.f64 y y))))
(/.f64 y z)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 y z))
(fma.f64 -1/6 (/.f64 (pow.f64 y 3) z) (/.f64 y z))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 y z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 5) z) (fma.f64 -1/6 (/.f64 (pow.f64 y 3) z) (/.f64 y z)))
(+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 y z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 7) z) (fma.f64 1/120 (/.f64 (pow.f64 y 5) z) (fma.f64 -1/6 (/.f64 (pow.f64 y 3) z) (/.f64 y z))))
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y)))
(*.f64 (*.f64 1 z) (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))) x)
(-.f64 x (*.f64 (sin.f64 y) (*.f64 1 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))) x)
(-.f64 x (*.f64 (sin.f64 y) (*.f64 1 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))) x)
(-.f64 x (*.f64 (sin.f64 y) (*.f64 1 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))) x)
(-.f64 x (*.f64 (sin.f64 y) (*.f64 1 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))) x)
(-.f64 x (*.f64 (sin.f64 y) (*.f64 1 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))) x)
(-.f64 x (*.f64 (sin.f64 y) (*.f64 1 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))) x)
(-.f64 x (*.f64 (sin.f64 y) (*.f64 1 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))) x)
(-.f64 x (*.f64 (sin.f64 y) (*.f64 1 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))) x)
(-.f64 x (*.f64 (sin.f64 y) (*.f64 1 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (pow.f64 y 3) (-.f64 (*.f64 -1/6 z) (*.f64 -1/3 z))) x))
(fma.f64 -1 (*.f64 y z) (fma.f64 (pow.f64 y 3) (*.f64 z 1/6) x))
(-.f64 (fma.f64 (pow.f64 y 3) (*.f64 z 1/6) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (pow.f64 y 3) (-.f64 (*.f64 -1/6 z) (*.f64 -1/3 z))) (+.f64 (*.f64 (pow.f64 y 5) (-.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/6 (-.f64 (*.f64 -1/3 z) (*.f64 -1/6 z)))) (*.f64 2/45 z))) x)))
(fma.f64 -1 (*.f64 y z) (fma.f64 (pow.f64 y 3) (*.f64 z 1/6) (fma.f64 (pow.f64 y 5) (+.f64 (fma.f64 1/120 z (*.f64 -1/6 (*.f64 z -1/6))) (*.f64 -2/45 z)) x)))
(-.f64 (fma.f64 (pow.f64 y 3) (*.f64 z 1/6) (fma.f64 (pow.f64 y 5) (+.f64 (fma.f64 z 1/120 (*.f64 z 1/36)) (*.f64 z -2/45)) x)) (*.f64 y z))
(-.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y)))
(-.f64 x (*.f64 (sin.f64 y) (*.f64 1 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y)))
(-.f64 x (*.f64 (sin.f64 y) (*.f64 1 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y)))
(-.f64 x (*.f64 (sin.f64 y) (*.f64 1 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y)))
(-.f64 x (*.f64 (sin.f64 y) (*.f64 1 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y)))
(-.f64 x (*.f64 (sin.f64 y) (*.f64 1 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y)))
(-.f64 x (*.f64 (sin.f64 y) (*.f64 1 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y)))
(-.f64 x (*.f64 (sin.f64 y) (*.f64 1 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y)))
(-.f64 x (*.f64 (sin.f64 y) (*.f64 1 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))) x)
(-.f64 x (*.f64 (sin.f64 y) (*.f64 1 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))) x)
(-.f64 x (*.f64 (sin.f64 y) (*.f64 1 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))) x)
(-.f64 x (*.f64 (sin.f64 y) (*.f64 1 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y)))
(*.f64 (*.f64 1 z) (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))) x)
(-.f64 x (*.f64 (sin.f64 y) (*.f64 1 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))) x)
(-.f64 x (*.f64 (sin.f64 y) (*.f64 1 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))) x)
(-.f64 x (*.f64 (sin.f64 y) (*.f64 1 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y)))
(*.f64 (*.f64 1 z) (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))) x)
(-.f64 x (*.f64 (sin.f64 y) (*.f64 1 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))) x)
(-.f64 x (*.f64 (sin.f64 y) (*.f64 1 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))) x)
(-.f64 x (*.f64 (sin.f64 y) (*.f64 1 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 0 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (sin.f64 y) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (sin.f64 y) z)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) z)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sin.f64 y) z)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sin.f64 y) z)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 (sin.f64 y) (/.f64 z (sin.f64 y))))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (sin.f64 y) 2) (/.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 (*.f64 (sin.f64 y) z) 1)
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(*.f64 1 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2)))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2)) (cbrt.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 z (sin.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)) (*.f64 (/.f64 z (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)) (*.f64 z (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sin.f64 y))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(*.f64 (neg.f64 (pow.f64 (sin.f64 y) 2)) (/.f64 1 (/.f64 (neg.f64 (sin.f64 y)) z)))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
(*.f64 (/.f64 z (sin.f64 y)) (pow.f64 (sin.f64 y) 2))
(*.f64 (sin.f64 y) (*.f64 1 z))
(*.f64 z (sin.f64 y))
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(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) z))) (fma.f64 (neg.f64 (/.f64 z (sin.f64 y))) (pow.f64 (sin.f64 y) 2) (*.f64 (sin.f64 y) z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 (*.f64 1 z) (neg.f64 (sin.f64 y))) (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))) (*.f64 (sin.f64 y) (*.f64 0 z)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) z))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 (sin.f64 y) z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 (*.f64 1 z) (neg.f64 (sin.f64 y))) (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))) (*.f64 (sin.f64 y) (*.f64 0 z)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 y) z))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2)) (*.f64 (sin.f64 y) z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) z))) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 (*.f64 1 z) (neg.f64 (sin.f64 y))) (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))) (*.f64 (sin.f64 y) (*.f64 0 z)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) z))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 (*.f64 1 z) (neg.f64 (sin.f64 y))) (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))) (*.f64 (sin.f64 y) (*.f64 0 z)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))) (cbrt.f64 (*.f64 (sin.f64 y) z)) x)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) x)

eval150.0ms (0.4%)

Compiler

Compiled 11609 to 4536 computations (60.9% saved)

prune103.0ms (0.3%)

Pruning

20 alts after pruning (12 fresh and 8 done)

PrunedKeptTotal
New5237530
Fresh459
Picked011
Done279
Total52920549
Error
0b
Counts
549 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
26.6b
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
44.9b
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (sin.f64 y) z))) 2)
17.7b
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
26.6b
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
26.6b
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
23.4b
(-.f64 x (/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (sin.f64 y) z)))
26.8b
(-.f64 x (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 y y)) 2)) (/.f64 (sin.f64 y) z)))
23.8b
(-.f64 x (*.f64 (pow.f64 (sin.f64 y) 2) (/.f64 z (sin.f64 y))))
24.7b
(-.f64 x -1)
46.5b
(-.f64 1 (*.f64 y z))
17.6b
(+.f64 (cos.f64 y) x)
47.2b
(+.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))
44.8b
(*.f64 (sin.f64 y) (neg.f64 z))
57.3b
(*.f64 y (neg.f64 z))
45.1b
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3))
49.4b
(neg.f64 (*.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1)))
44.2b
(cos.f64 y)
37.1b
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3))
36.1b
x
51.0b
1
Compiler

Compiled 195 to 146 computations (25.1% saved)

regimes98.0ms (0.2%)

Counts
39 → 1
Calls
Call 1
Inputs
1
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 x (-.f64 (*.f64 y z) 1))
(+.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
(neg.f64 (*.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 x (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 y y)) 2)) (/.f64 (sin.f64 y) z)))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(neg.f64 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)))
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3))
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (sin.f64 y) z))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))) 3)
(-.f64 x (*.f64 (pow.f64 (sin.f64 y) 2) (/.f64 z (sin.f64 y))))
(-.f64 x (/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (sin.f64 y) z)))
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
(-.f64 (expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(-.f64 (cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) x)
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 x (/.f64 (-.f64 (*.f64 z (*.f64 z (*.f64 (sin.f64 y) (sin.f64 y)))) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y))))
(pow.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2))) (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (-.f64 x (cos.f64 y))))) 3)
(fma.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2) (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))))
Outputs
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
Calls

5 calls:

18.0ms
z
18.0ms
x
17.0ms
y
17.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
16.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.0b1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 468 to 168 computations (64.1% saved)

regimes66.0ms (0.2%)

Counts
21 → 1
Calls
Call 1
Inputs
1
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 x (-.f64 (*.f64 y z) 1))
(+.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
(neg.f64 (*.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 x (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 y y)) 2)) (/.f64 (sin.f64 y) z)))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(neg.f64 (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)))
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

30.0ms
x
11.0ms
y
10.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
10.0ms
z
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 160 to 80 computations (50% saved)

regimes102.0ms (0.3%)

Counts
14 → 3
Calls
Call 1
Inputs
1
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 x (-.f64 (*.f64 y z) 1))
(+.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
(neg.f64 (*.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
Outputs
x
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
x
Calls

3 calls:

44.0ms
z
33.0ms
y
22.0ms
x
Results
ErrorSegmentsBranch
5.4b3x
7.4b5y
7.6b3z
Compiler

Compiled 87 to 47 computations (46% saved)

bsearch31.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
30.0ms
9.45691296665491e+37
1.6061450816977374e+47
0.0ms
-2.3564920836118957e+20
-2.3270794845759465e+20
Results
16.0ms112×body256valid
10.0ms25×body1024valid
2.0msbody512valid
Compiler

Compiled 162 to 121 computations (25.3% saved)

regimes182.0ms (0.5%)

Counts
12 → 7
Calls
Call 1
Inputs
1
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 x (-.f64 (*.f64 y z) 1))
(+.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
(neg.f64 (*.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1)))
Outputs
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x -1)
(*.f64 (sin.f64 y) (neg.f64 z))
Calls

3 calls:

77.0ms
z
58.0ms
y
32.0ms
x
Results
ErrorSegmentsBranch
15.1b5x
8.7b9y
6.8b7z
Compiler

Compiled 73 to 43 computations (41.1% saved)

bsearch214.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
34.0ms
1.0320190436123988e+189
1.7624802837630254e+193
42.0ms
7.266274041986495e+147
1.2660493489043497e+153
33.0ms
8.044793878156357e+126
1.980518491885714e+130
50.0ms
-1.739949998491724e+124
-6.4865803388615e+117
28.0ms
-2.420164257892255e+151
-2.0134721901815877e+148
27.0ms
-2.2721934532230194e+217
-1.8138213738370814e+217
Results
81.0ms172×body1024valid
74.0ms474×body256valid
49.0ms74×body512valid
Compiler

Compiled 766 to 598 computations (21.9% saved)

regimes39.0ms (0.1%)

Counts
9 → 3
Calls
Call 1
Inputs
1
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 x (-.f64 (*.f64 y z) 1))
(+.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
Outputs
(+.f64 (cos.f64 y) x)
(-.f64 x (-.f64 (*.f64 y z) 1))
(+.f64 (cos.f64 y) x)
Calls

3 calls:

16.0ms
z
16.0ms
y
5.0ms
x
Results
ErrorSegmentsBranch
17.6b1x
12.5b3y
14.0b3z
Compiler

Compiled 51 to 31 computations (39.2% saved)

bsearch53.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
25.0ms
1.5402447850575905e-7
0.011147630301063862
28.0ms
-901.760773367421
-1.0491666815934236e-10
Results
50.0ms304×body256valid
Compiler

Compiled 379 to 279 computations (26.4% saved)

regimes68.0ms (0.2%)

Counts
8 → 4
Calls
Call 1
Inputs
1
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 x (-.f64 (*.f64 y z) 1))
(+.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(cos.f64 y)
Outputs
x
(-.f64 x (-.f64 (*.f64 y z) 1))
(cos.f64 y)
(-.f64 x -1)
Calls

3 calls:

37.0ms
x
15.0ms
z
15.0ms
y
Results
ErrorSegmentsBranch
16.9b4x
18.3b3y
21.1b3z
Compiler

Compiled 47 to 30 computations (36.2% saved)

bsearch134.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
62.0ms
7.695089591937681e-15
6.658284170296498e-12
29.0ms
-6.790845869787692e-219
-3.5083468863258536e-221
43.0ms
-2.360868926028033e+98
-9.883103112724682e+97
Results
33.0ms219×body256valid
30.0ms64×body1024valid
10.0ms37×body512valid
Compiler

Compiled 321 to 252 computations (21.5% saved)

regimes50.0ms (0.1%)

Counts
7 → 3
Calls
Call 1
Inputs
1
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 x (-.f64 (*.f64 y z) 1))
(+.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))
Outputs
(-.f64 x -1)
(-.f64 x (-.f64 (*.f64 y z) 1))
(-.f64 x -1)
Calls

3 calls:

19.0ms
x
16.0ms
y
14.0ms
z
Results
ErrorSegmentsBranch
21.4b2x
19.6b3y
21.1b3z
Compiler

Compiled 45 to 29 computations (35.6% saved)

bsearch55.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
26.0ms
1.5402447850575905e-7
0.011147630301063862
28.0ms
-901.760773367421
-1.0491666815934236e-10
Results
51.0ms304×body256valid
Compiler

Compiled 360 to 279 computations (22.5% saved)

regimes40.0ms (0.1%)

Counts
5 → 3
Calls
Call 1
Inputs
1
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
Outputs
(-.f64 x -1)
(-.f64 1 (*.f64 y z))
(-.f64 x -1)
Calls

3 calls:

15.0ms
z
12.0ms
x
12.0ms
y
Results
ErrorSegmentsBranch
21.7b3x
23.5b3y
21.9b4z
Compiler

Compiled 29 to 20 computations (31% saved)

bsearch55.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
34.0ms
1.7146178428401179e-26
4.972658833585222e-22
21.0ms
-1.0774037543824591e-10
-4.506788479378328e-11
Results
23.0ms52×body1024valid
21.0ms129×body256valid
7.0ms26×body512valid
1.0msbody2048valid
Compiler

Compiled 226 to 182 computations (19.5% saved)

regimes17.0ms (0%)

Counts
4 → 2
Calls
Call 1
Inputs
1
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
Outputs
(*.f64 y (neg.f64 z))
(-.f64 x -1)
Calls

3 calls:

7.0ms
z
5.0ms
y
4.0ms
x
Results
ErrorSegmentsBranch
24.7b1x
24.7b1y
23.4b2z
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch37.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
37.0ms
-1.519373636522261e+260
-3.2616337921546494e+252
Results
13.0ms85×body256valid
12.0ms29×body1024valid
10.0ms30×body512valid
Compiler

Compiled 153 to 121 computations (20.9% saved)

regimes11.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
1
x
(-.f64 x -1)
Outputs
(-.f64 x -1)
Calls

3 calls:

3.0ms
z
3.0ms
x
3.0ms
y
Results
ErrorSegmentsBranch
24.7b1x
24.7b1y
24.7b1z
Compiler

Compiled 20 to 15 computations (25% saved)

regimes27.0ms (0.1%)

Accuracy

Total -37.0b remaining (-147.3%)

Threshold costs -37.0b (-147.3%)

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

3 calls:

12.0ms
y
9.0ms
x
4.0ms
z
Results
ErrorSegmentsBranch
25.1b3x
32.4b5y
36.1b1z
Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch76.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
48.0ms
6.658284170296498e-12
1180509.7374018768
28.0ms
-0.022883884365763156
-0.004651004028315227
Results
33.0ms77×body1024valid
24.0ms130×body256valid
12.0ms44×body512valid
4.0msbody2048valid
Compiler

Compiled 178 to 157 computations (11.8% saved)

simplify17.0ms (0%)

Algorithm
egg-herbie
Rules
16×+-commutative_binary64
15×sub-neg_binary64
12×*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084300
1118300
2146300
3160300
4167300
5168300
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -235000000000000000000) x (if (<=.f64 x 189999999999999990055898885122890399744) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
(if (<=.f64 z -18500000000000000549388722181818163840743317858582799583588861470765708489335847790750310490314052997915078692666691296297604012769216488986307192485677462141740124566084438602878420960088139296323271471483847931068416) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z -43999999999999997612233942459079839567904188855324391394523360186229526838795184392098636578143143618202907884964167422764591009257541664961239973888) (+.f64 (cos.f64 y) x) (if (<=.f64 z -1699999999999999994674628890446035903972230019201001240877764494715827151586489325626677990487047248458351241684402044928) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 189999999999999995043891676055217836348946473328708632300161288791019144961931250094406475469701657876748336689356764764457402368) (+.f64 (cos.f64 y) x) (if (<=.f64 z 14999999999999999530824261512658896221265848238453648307957131980481986612682628949484652000893836447892768225551748691417875083401581575839850195582976) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 2000000000000000046186182605395743097859676449703398550861129156309684379358915377731523593735901522221564770876517148393198380226271747013752059433307380371424062862893271297517933339607040) (-.f64 x -1) (*.f64 (sin.f64 y) (neg.f64 z))))))))
(if (<=.f64 y -5188146770730811/72057594037927936) (+.f64 (cos.f64 y) x) (if (<=.f64 y 8070450532247929/1152921504606846976) (-.f64 x (-.f64 (*.f64 y z) 1)) (+.f64 (cos.f64 y) x)))
(if (<=.f64 x -102000000000000006745884096440872065327361026599272986445117579089045942777793117506657446084476928) x (if (<=.f64 x -5166780211176759/794889263257962974796277498092801308291525640763748664903194643469338087775424965801409745320266996710649718116931109481559848982586784968419475084821084743272680947722675151641735826243378403750534655587182832000457137589153821622272) (-.f64 x (-.f64 (*.f64 y z) 1)) (if (<=.f64 x 5446936172855673/1237940039285380274899124224) (cos.f64 y) (-.f64 x -1))))
(if (<=.f64 y -6980579422424269/2251799813685248) (-.f64 x -1) (if (<=.f64 y 3170534137668829/288230376151711744) (-.f64 x (-.f64 (*.f64 y z) 1)) (-.f64 x -1)))
(if (<=.f64 x -7118155225890937/154742504910672534362390528) (-.f64 x -1) (if (<=.f64 x 4253529586511731/10633823966279326983230456482242756608) (-.f64 1 (*.f64 y z)) (-.f64 x -1)))
(if (<=.f64 z -69999999999999995440921760129983701122482267062970861873489236277321028940177424533440627121208131928344868139647804054327774796134805968239393311020324959540594599601379450506665199881921510458491225600072547919051973330933369857724257849772773490259132416) (*.f64 y (neg.f64 z)) (-.f64 x -1))
(-.f64 x -1)
(if (<=.f64 x -3242591731706757/144115188075855872) x (if (<=.f64 x 1) 1 x))
1
Outputs
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -235000000000000000000) x (if (<=.f64 x 189999999999999990055898885122890399744) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
(if (<=.f64 z -18500000000000000549388722181818163840743317858582799583588861470765708489335847790750310490314052997915078692666691296297604012769216488986307192485677462141740124566084438602878420960088139296323271471483847931068416) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z -43999999999999997612233942459079839567904188855324391394523360186229526838795184392098636578143143618202907884964167422764591009257541664961239973888) (+.f64 (cos.f64 y) x) (if (<=.f64 z -1699999999999999994674628890446035903972230019201001240877764494715827151586489325626677990487047248458351241684402044928) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 189999999999999995043891676055217836348946473328708632300161288791019144961931250094406475469701657876748336689356764764457402368) (+.f64 (cos.f64 y) x) (if (<=.f64 z 14999999999999999530824261512658896221265848238453648307957131980481986612682628949484652000893836447892768225551748691417875083401581575839850195582976) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 2000000000000000046186182605395743097859676449703398550861129156309684379358915377731523593735901522221564770876517148393198380226271747013752059433307380371424062862893271297517933339607040) (-.f64 x -1) (*.f64 (sin.f64 y) (neg.f64 z))))))))
(if (<=.f64 z -18500000000000000549388722181818163840743317858582799583588861470765708489335847790750310490314052997915078692666691296297604012769216488986307192485677462141740124566084438602878420960088139296323271471483847931068416) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z -43999999999999997612233942459079839567904188855324391394523360186229526838795184392098636578143143618202907884964167422764591009257541664961239973888) (+.f64 x (cos.f64 y)) (if (<=.f64 z -1699999999999999994674628890446035903972230019201001240877764494715827151586489325626677990487047248458351241684402044928) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 189999999999999995043891676055217836348946473328708632300161288791019144961931250094406475469701657876748336689356764764457402368) (+.f64 x (cos.f64 y)) (if (<=.f64 z 14999999999999999530824261512658896221265848238453648307957131980481986612682628949484652000893836447892768225551748691417875083401581575839850195582976) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 2000000000000000046186182605395743097859676449703398550861129156309684379358915377731523593735901522221564770876517148393198380226271747013752059433307380371424062862893271297517933339607040) (+.f64 x 1) (*.f64 (sin.f64 y) (neg.f64 z))))))))
(if (<=.f64 y -5188146770730811/72057594037927936) (+.f64 (cos.f64 y) x) (if (<=.f64 y 8070450532247929/1152921504606846976) (-.f64 x (-.f64 (*.f64 y z) 1)) (+.f64 (cos.f64 y) x)))
(if (<=.f64 y -5188146770730811/72057594037927936) (+.f64 x (cos.f64 y)) (if (<=.f64 y 8070450532247929/1152921504606846976) (-.f64 x (+.f64 (*.f64 z y) -1)) (+.f64 x (cos.f64 y))))
(if (<=.f64 y -5188146770730811/72057594037927936) (+.f64 x (cos.f64 y)) (if (<=.f64 y 8070450532247929/1152921504606846976) (-.f64 x (+.f64 -1 (*.f64 z y))) (+.f64 x (cos.f64 y))))
(if (<=.f64 x -102000000000000006745884096440872065327361026599272986445117579089045942777793117506657446084476928) x (if (<=.f64 x -5166780211176759/794889263257962974796277498092801308291525640763748664903194643469338087775424965801409745320266996710649718116931109481559848982586784968419475084821084743272680947722675151641735826243378403750534655587182832000457137589153821622272) (-.f64 x (-.f64 (*.f64 y z) 1)) (if (<=.f64 x 5446936172855673/1237940039285380274899124224) (cos.f64 y) (-.f64 x -1))))
(if (<=.f64 x -102000000000000006745884096440872065327361026599272986445117579089045942777793117506657446084476928) x (if (<=.f64 x -5166780211176759/794889263257962974796277498092801308291525640763748664903194643469338087775424965801409745320266996710649718116931109481559848982586784968419475084821084743272680947722675151641735826243378403750534655587182832000457137589153821622272) (-.f64 x (+.f64 (*.f64 z y) -1)) (if (<=.f64 x 5446936172855673/1237940039285380274899124224) (cos.f64 y) (+.f64 x 1))))
(if (<=.f64 x -102000000000000006745884096440872065327361026599272986445117579089045942777793117506657446084476928) x (if (<=.f64 x -5166780211176759/794889263257962974796277498092801308291525640763748664903194643469338087775424965801409745320266996710649718116931109481559848982586784968419475084821084743272680947722675151641735826243378403750534655587182832000457137589153821622272) (-.f64 x (+.f64 -1 (*.f64 z y))) (if (<=.f64 x 5446936172855673/1237940039285380274899124224) (cos.f64 y) (+.f64 x 1))))
(if (<=.f64 y -6980579422424269/2251799813685248) (-.f64 x -1) (if (<=.f64 y 3170534137668829/288230376151711744) (-.f64 x (-.f64 (*.f64 y z) 1)) (-.f64 x -1)))
(if (<=.f64 y -6980579422424269/2251799813685248) (+.f64 x 1) (if (<=.f64 y 3170534137668829/288230376151711744) (-.f64 x (+.f64 (*.f64 z y) -1)) (+.f64 x 1)))
(if (<=.f64 y -6980579422424269/2251799813685248) (+.f64 x 1) (if (<=.f64 y 3170534137668829/288230376151711744) (-.f64 x (+.f64 -1 (*.f64 z y))) (+.f64 x 1)))
(if (<=.f64 x -7118155225890937/154742504910672534362390528) (-.f64 x -1) (if (<=.f64 x 4253529586511731/10633823966279326983230456482242756608) (-.f64 1 (*.f64 y z)) (-.f64 x -1)))
(if (<=.f64 x -7118155225890937/154742504910672534362390528) (+.f64 x 1) (if (<=.f64 x 4253529586511731/10633823966279326983230456482242756608) (-.f64 1 (*.f64 z y)) (+.f64 x 1)))
(if (<=.f64 z -69999999999999995440921760129983701122482267062970861873489236277321028940177424533440627121208131928344868139647804054327774796134805968239393311020324959540594599601379450506665199881921510458491225600072547919051973330933369857724257849772773490259132416) (*.f64 y (neg.f64 z)) (-.f64 x -1))
(if (<=.f64 z -69999999999999995440921760129983701122482267062970861873489236277321028940177424533440627121208131928344868139647804054327774796134805968239393311020324959540594599601379450506665199881921510458491225600072547919051973330933369857724257849772773490259132416) (*.f64 y (neg.f64 z)) (+.f64 x 1))
(-.f64 x -1)
(+.f64 x 1)
(if (<=.f64 x -3242591731706757/144115188075855872) x (if (<=.f64 x 1) 1 x))
1
Compiler

Compiled 240 to 153 computations (36.3% saved)

soundness41.0ms (0.1%)

Algorithm
egg-herbie
Rules
228×fma-def_binary64
171×fma-neg_binary64
68×cancel-sign-sub-inv_binary64
43×distribute-rgt-in_binary64
39×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11814
23814
36714
411814
518314
632214
753214
868314
984814
1095214
1196214
Stop Event
saturated
Compiler

Compiled 100 to 68 computations (32% saved)

end92.0ms (0.2%)

Compiler

Compiled 207 to 105 computations (49.3% saved)

Profiling

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