Details

Time bar (total: 5.3s)

analyze768.0ms (14.6%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
25%74.9%0.1%7
37.4%62.4%0.1%8
37.4%62.4%0.1%9
56.2%43.7%0.1%10
65.5%34.3%0.1%11
65.5%34.3%0.1%12
76.5%23.4%0.1%13
81.9%17.9%0.1%14
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.2s (42.2%)

Results
1.0s5953×body128valid
785.0ms1304×body1024valid
280.0ms647×body512valid
104.0ms346×body256valid
6.0ms6×body2048valid

preprocess19.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 12 to 8 computations (33.3% saved)

simplify8.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
6×fma-def_binary64
5×+-commutative_binary64
3×associate-+r+_binary64
3×associate-+l+_binary64
1×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 20 to 10 computations (50% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
Compiler

Compiled 22 to 14 computations (36.4% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series10.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

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

rewrite49.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
843×log1p-expm1-u_binary64
843×expm1-log1p-u_binary64
90×add-sqr-sqrt_binary64
89×*-un-lft-identity_binary64
89×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
116719
2222619
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(fma.f64 z (cos.f64 y) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (cos.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (cos.f64 y)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) x)) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) x)) (sqrt.f64 (fma.f64 z (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (*.f64 x x) (*.f64 (*.f64 z (cos.f64 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 2) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))) 2) (cbrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))) (sqrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (fma.f64 z (cos.f64 y) x) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (fma.f64 z (cos.f64 y) x) (-.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2)) (/.f64 1 (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (fma.f64 z (cos.f64 y) x) (-.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (fma.f64 z (cos.f64 y) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (fma.f64 z (cos.f64 y) x) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (fma.f64 z (cos.f64 y) x) (-.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (fma.f64 z (cos.f64 y) x) 3)) (+.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 2) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2)) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (fma.f64 z (cos.f64 y) x) 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (fma.f64 z (cos.f64 y) x) (-.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2))) (neg.f64 (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) x)) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) x)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (fma.f64 z (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) x)) (sqrt.f64 (fma.f64 z (cos.f64 y) x)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (fma.f64 z (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))))))

simplify40.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
689×associate-*l*_binary64
613×distribute-rgt-out_binary64
476×associate-*r*_binary64
467×unswap-sqr_binary64
267×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043672
1116672
2320659
31089659
43250659
Stop Event
1×node limit
Counts
130 → 84
Calls
Call 1
Inputs
x
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 z x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) z)) x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) z)) x))))
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 z (cos.f64 y)) x)
(+.f64 (*.f64 z (cos.f64 y)) x)
(+.f64 (*.f64 z (cos.f64 y)) x)
x
(+.f64 (*.f64 z (cos.f64 y)) x)
(+.f64 (*.f64 z (cos.f64 y)) x)
(+.f64 (*.f64 z (cos.f64 y)) x)
x
(+.f64 (*.f64 z (cos.f64 y)) x)
(+.f64 (*.f64 z (cos.f64 y)) x)
(+.f64 (*.f64 z (cos.f64 y)) x)
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
x
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
x
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
Outputs
x
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 z x)
(+.f64 x z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z x))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 x z))
(+.f64 x (fma.f64 (*.f64 -1/2 (*.f64 y y)) z z))
(fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) z x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) z)) x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) x)))
(+.f64 (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) x) (fma.f64 (*.f64 -1/2 (*.f64 y y)) z z))
(fma.f64 (fma.f64 1/24 (pow.f64 y 4) 1) z (fma.f64 (*.f64 y y) (*.f64 z -1/2) x))
(fma.f64 (fma.f64 1/24 (pow.f64 y 4) 1) z (fma.f64 -1/2 (*.f64 y (*.f64 y z)) x))
(fma.f64 (fma.f64 1/24 (pow.f64 y 4) 1) z (fma.f64 z (*.f64 -1/2 (*.f64 y y)) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) z)) x))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) x))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (+.f64 (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) x) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) z)))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/720 (pow.f64 y 6))) (fma.f64 (fma.f64 1/24 (pow.f64 y 4) 1) z x))
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 z (cos.f64 y)) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 z (cos.f64 y)) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 z (cos.f64 y)) x)
(fma.f64 (cos.f64 y) z x)
x
(+.f64 (*.f64 z (cos.f64 y)) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 z (cos.f64 y)) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 z (cos.f64 y)) x)
(fma.f64 (cos.f64 y) z x)
x
(+.f64 (*.f64 z (cos.f64 y)) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 z (cos.f64 y)) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 z (cos.f64 y)) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 z x)
(+.f64 x z)
(+.f64 y (+.f64 z x))
(+.f64 (+.f64 y z) x)
(+.f64 x (+.f64 y z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 (+.f64 y z) x))
(+.f64 (+.f64 x z) (fma.f64 (*.f64 -1/2 (*.f64 y y)) z y))
(+.f64 y (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) z x))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 (+.f64 y z) x)))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (+.f64 x z) (fma.f64 (*.f64 -1/2 (*.f64 y y)) z y)))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) z x)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
x
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
x
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))

eval18.0ms (0.3%)

Compiler

Compiled 1195 to 380 computations (68.2% saved)

prune100.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New81384
Fresh000
Picked011
Done000
Total81485
Error
0.0b
Counts
85 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
29.1b
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2)) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))
▶24.1b
(+.f64 (sin.f64 y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z x)))
40.4b
(+.f64 (sin.f64 y) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 3)))
Compiler

Compiled 121 to 77 computations (36.4% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
✓0.0b
(+.f64 (sin.f64 y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z x)))
✓7.4b
(*.f64 (pow.f64 y 2) z)

series13.0ms (0.2%)

Counts
3 → 36
Calls

21 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(+.f64 (sin.f64 y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z x)))
1.0ms
y
@0
(*.f64 (pow.f64 y 2) z)
1.0ms
z
@0
(*.f64 (pow.f64 y 2) z)
1.0ms
x
@0
(+.f64 (sin.f64 y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z x)))
1.0ms
y
@inf
(*.f64 (pow.f64 y 2) z)

rewrite70.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
266×expm1-udef_binary64
266×log1p-udef_binary64
155×add-sqr-sqrt_binary64
151×pow1_binary64
150×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01336
129936
2425836
Stop Event
1×node limit
Counts
3 → 65
Calls
Call 1
Inputs
(*.f64 (pow.f64 y 2) z)
(+.f64 (sin.f64 y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 z z) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (*.f64 y y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 y z))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 (sin.f64 y) (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) (+.f64 x (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)))) (/.f64 (pow.f64 (+.f64 x (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) 2) (-.f64 (sin.f64 y) (+.f64 x (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (sin.f64 y) (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 (sin.f64 y) (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 (sin.f64 y) (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) x)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 (sin.f64 y) (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (sin.f64 y) (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) x)) 2) (cbrt.f64 (+.f64 (+.f64 (sin.f64 y) (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 (sin.f64 y) (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) x)) (sqrt.f64 (+.f64 (+.f64 (sin.f64 y) (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (+.f64 x (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (+.f64 x (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) (-.f64 (+.f64 x (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 x (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) 2)) (/.f64 1 (-.f64 (sin.f64 y) (+.f64 x (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (+.f64 x (fma.f64 (*.f64 y (*.f64 y z)) 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-1/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 x (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) 2)) (-.f64 (sin.f64 y) (+.f64 x (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (+.f64 x (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (+.f64 x (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) (-.f64 (+.f64 x (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 x (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) 2))) (neg.f64 (-.f64 (sin.f64 y) (+.f64 x (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) (*.f64 (*.f64 -1/2 z) (*.f64 y y))) 3) (pow.f64 (+.f64 z x) 3)) (+.f64 (*.f64 (+.f64 (sin.f64 y) (*.f64 (*.f64 -1/2 z) (*.f64 y y))) (+.f64 (sin.f64 y) (*.f64 (*.f64 -1/2 z) (*.f64 y y)))) (-.f64 (pow.f64 (+.f64 z x) 2) (*.f64 (+.f64 (sin.f64 y) (*.f64 (*.f64 -1/2 z) (*.f64 y y))) (+.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (+.f64 x (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (sin.f64 y) (*.f64 (*.f64 -1/2 z) (*.f64 y y))) (+.f64 (sin.f64 y) (*.f64 (*.f64 -1/2 z) (*.f64 y y)))) (pow.f64 (+.f64 z x) 2)) (-.f64 (+.f64 (sin.f64 y) (*.f64 (*.f64 -1/2 z) (*.f64 y y))) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 (sin.f64 y) (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 (sin.f64 y) (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 (sin.f64 y) (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 (sin.f64 y) (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 (sin.f64 y) (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 (sin.f64 y) (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (sin.f64 y) (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 (sin.f64 y) (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 y) (+.f64 x (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z))) 2) (cbrt.f64 (+.f64 x (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z))) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (cbrt.f64 (sin.f64 y)) (+.f64 x (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z))) (sqrt.f64 (+.f64 x (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z))) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (+.f64 x (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 (sin.f64 y) (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (sin.f64 y) (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 (sin.f64 y) (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 (sin.f64 y) (fma.f64 (*.f64 y (*.f64 y z)) -1/2 z)) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/2) (*.f64 y (sqrt.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 y (*.f64 y z)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (*.f64 (*.f64 z z) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 y (*.f64 y z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y))))))))

simplify46.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
699×fma-neg_binary64
545×fma-def_binary64
236×cancel-sign-sub-inv_binary64
229×sub-neg_binary64
218×unsub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035578
195524
2260520
3772519
42116519
54435519
Stop Event
1×node limit
Counts
101 → 86
Calls
Call 1
Inputs
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) (+.f64 (sin.f64 y) x))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z)
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) (+.f64 (sin.f64 y) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
Outputs
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (+.f64 z x) y)
(+.f64 z (+.f64 x y))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 (+.f64 z x) y))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (+.f64 x y))
(+.f64 x (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 (+.f64 z x) y)))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x)))
(+.f64 x (fma.f64 (*.f64 y y) (fma.f64 z -1/2 (*.f64 y -1/6)) (+.f64 z y)))
(+.f64 z (fma.f64 (*.f64 y y) (fma.f64 z -1/2 (*.f64 y -1/6)) (+.f64 x y)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 z (*.f64 y y)))
(*.f64 z (*.f64 -1/2 (*.f64 y y)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 x (sin.f64 y))))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (sin.f64 y)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 x (sin.f64 y))))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (sin.f64 y)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 x (sin.f64 y))))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (sin.f64 y)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 z (*.f64 y y)))
(*.f64 z (*.f64 -1/2 (*.f64 y y)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 x (sin.f64 y))))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (sin.f64 y)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 x (sin.f64 y))))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (sin.f64 y)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 x (sin.f64 y))))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (sin.f64 y)))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) (+.f64 (sin.f64 y) x))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 x (sin.f64 y))))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (sin.f64 y)))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) (+.f64 (sin.f64 y) x))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 x (sin.f64 y))))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (sin.f64 y)))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) (+.f64 (sin.f64 y) x))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 x (sin.f64 y))))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (sin.f64 y)))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z)
(*.f64 z (+.f64 1 (*.f64 -1/2 (*.f64 y y))))
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) (+.f64 (sin.f64 y) x))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 x (sin.f64 y))))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (sin.f64 y)))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) (+.f64 (sin.f64 y) x))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 x (sin.f64 y))))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (sin.f64 y)))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) (+.f64 (sin.f64 y) x))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 x (sin.f64 y))))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (sin.f64 y)))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z))
(*.f64 z (+.f64 1 (*.f64 -1/2 (*.f64 y y))))
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z)) (+.f64 (sin.f64 y) x))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 x (sin.f64 y))))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z)) (+.f64 (sin.f64 y) x))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 x (sin.f64 y))))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z)) (+.f64 (sin.f64 y) x))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 x (sin.f64 y))))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (sin.f64 y)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (sin.f64 y)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (sin.f64 y)))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (sin.f64 y))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 x (sin.f64 y))))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (sin.f64 y)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 x (sin.f64 y))))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (sin.f64 y)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 x (sin.f64 y))))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (sin.f64 y)))
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 x (sin.f64 y))))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (sin.f64 y)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 x (sin.f64 y))))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (sin.f64 y)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 x (sin.f64 y))))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (sin.f64 y)))
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 x (sin.f64 y))))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (sin.f64 y)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 x (sin.f64 y))))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (sin.f64 y)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (sin.f64 y) x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 x (sin.f64 y))))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) (sin.f64 y)))

eval28.0ms (0.5%)

Compiler

Compiled 1674 to 745 computations (55.5% saved)

prune95.0ms (1.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New86086
Fresh022
Picked011
Done011
Total86490
Error
0.0b
Counts
90 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
▶29.1b
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2)) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))
✓24.1b
(+.f64 (sin.f64 y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z x)))
40.4b
(+.f64 (sin.f64 y) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 3)))
Compiler

Compiled 104 to 65 computations (37.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 z (cos.f64 y) x)
✓0.1b
(pow.f64 (fma.f64 z (cos.f64 y) x) 2)
✓0.3b
(pow.f64 (sin.f64 y) 2)
✓27.1b
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2)) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))

series22.0ms (0.4%)

Counts
3 → 76
Calls

21 calls:

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

rewrite66.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
259×expm1-udef_binary64
259×log1p-udef_binary64
242×fma-neg_binary64
152×add-sqr-sqrt_binary64
151×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01348
129328
2409928
Stop Event
1×node limit
Counts
3 → 98
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2)) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))
(pow.f64 (sin.f64 y) 2)
(pow.f64 (fma.f64 z (cos.f64 y) x) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 2) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 2) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2)) (/.f64 1 (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2))) 2) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2))) (/.f64 1 (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) 2) (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2))) (*.f64 (sqrt.f64 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(-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))) (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2)) (sqrt.f64 (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2))) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2))) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2))) 2) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) 2)) (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2))) (cbrt.f64 (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2))) 2) (sqrt.f64 (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2))) (sqrt.f64 (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2)) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2))) (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2)) (-.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (fma.f64 z (cos.f64 y) x) 3))) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (fma.f64 z (cos.f64 y) x) (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2)) (neg.f64 (-.f64 (sin.f64 y) 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simplify79.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
417×cancel-sign-sub-inv_binary64
259×fma-def_binary64
199×sub-neg_binary64
196×div-sub_binary64
165×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02643565
19733336
232213290
Stop Event
1×node limit
Counts
174 → 178
Calls
Call 1
Inputs
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (*.f64 (pow.f64 y 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 1 (*.f64 -1 (*.f64 z (+.f64 z x)))) (+.f64 z x))) (/.f64 1 (+.f64 z x))) (*.f64 -1/2 z))) (+.f64 y (+.f64 z x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 1 (*.f64 -1 (*.f64 z (+.f64 z x)))) (+.f64 z x))) (/.f64 1 (+.f64 z x))) (*.f64 -1/2 z)) (+.f64 z x))) (+.f64 1/6 (*.f64 -1/2 (/.f64 z (+.f64 z x))))) (pow.f64 y 3))) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 1 (*.f64 -1 (*.f64 z (+.f64 z x)))) (+.f64 z x))) (/.f64 1 (+.f64 z x))) (*.f64 -1/2 z))) (+.f64 y (+.f64 z x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) x) 2)) (-.f64 (sin.f64 y) (+.f64 (*.f64 (cos.f64 y) z) x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) x) 2)) (-.f64 (sin.f64 y) (+.f64 (*.f64 (cos.f64 y) z) x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) x) 2)) (-.f64 (sin.f64 y) (+.f64 (*.f64 (cos.f64 y) z) x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) x) 2)) (-.f64 (sin.f64 y) (+.f64 (*.f64 (cos.f64 y) z) x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) x) 2)) (-.f64 (sin.f64 y) (+.f64 (*.f64 (cos.f64 y) z) x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) x) 2)) (-.f64 (sin.f64 y) (+.f64 (*.f64 (cos.f64 y) z) x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) x) 2)) (-.f64 (sin.f64 y) (+.f64 (*.f64 (cos.f64 y) z) x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) x) 2)) (-.f64 (sin.f64 y) (+.f64 (*.f64 (cos.f64 y) z) x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (-.f64 (sin.f64 y) x))
(-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) x)) (*.f64 (-.f64 (*.f64 -2 (/.f64 (*.f64 (cos.f64 y) x) (-.f64 (sin.f64 y) x))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (cos.f64 y)) (pow.f64 (-.f64 (sin.f64 y) x) 2)))) z)) (/.f64 (pow.f64 x 2) (-.f64 (sin.f64 y) x)))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (sin.f64 y) x))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (*.f64 (cos.f64 y) x) (-.f64 (sin.f64 y) x))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (cos.f64 y)) (pow.f64 (-.f64 (sin.f64 y) x) 2)))) (cos.f64 y)) (-.f64 (sin.f64 y) x)))) (pow.f64 z 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) x)) (*.f64 (-.f64 (*.f64 -2 (/.f64 (*.f64 (cos.f64 y) x) (-.f64 (sin.f64 y) x))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (cos.f64 y)) (pow.f64 (-.f64 (sin.f64 y) x) 2)))) z))) (/.f64 (pow.f64 x 2) (-.f64 (sin.f64 y) x)))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (sin.f64 y) x))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (*.f64 (cos.f64 y) x) (-.f64 (sin.f64 y) x))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (cos.f64 y)) (pow.f64 (-.f64 (sin.f64 y) x) 2)))) (cos.f64 y)) (-.f64 (sin.f64 y) x)))) (pow.f64 z 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) x)) (+.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (*.f64 (cos.f64 y) x) (-.f64 (sin.f64 y) x))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (cos.f64 y)) (pow.f64 (-.f64 (sin.f64 y) x) 2)))) z) (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (sin.f64 y) x))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (*.f64 (cos.f64 y) x) (-.f64 (sin.f64 y) x))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (cos.f64 y)) (pow.f64 (-.f64 (sin.f64 y) x) 2)))) (cos.f64 y)) (-.f64 (sin.f64 y) x)))) (*.f64 (pow.f64 z 3) (cos.f64 y))) (-.f64 (sin.f64 y) x))))) (/.f64 (pow.f64 x 2) (-.f64 (sin.f64 y) x)))
(*.f64 (cos.f64 y) z)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 (cos.f64 y) z)) (*.f64 -1 (-.f64 (sin.f64 y) x)))
(-.f64 (+.f64 (*.f64 2 x) (+.f64 (*.f64 (cos.f64 y) z) (*.f64 -1 (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 z (cos.f64 y)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (sin.f64 y) x) (-.f64 (*.f64 2 x) (*.f64 -1 (-.f64 (sin.f64 y) x)))) (*.f64 z (cos.f64 y)))) (*.f64 -1 (-.f64 (sin.f64 y) x))))
(-.f64 (+.f64 (*.f64 2 x) (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (cos.f64 y))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (sin.f64 y) x) (-.f64 (*.f64 2 x) (*.f64 -1 (-.f64 (sin.f64 y) x)))) (cos.f64 y)))) (-.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) (pow.f64 z 2))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 z (cos.f64 y))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (sin.f64 y) x) (-.f64 (*.f64 2 x) (*.f64 -1 (-.f64 (sin.f64 y) x)))) (*.f64 z (cos.f64 y)))) (*.f64 -1 (-.f64 (sin.f64 y) x))))
(*.f64 (cos.f64 y) z)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 (cos.f64 y) z)) (*.f64 -1 (-.f64 (sin.f64 y) x)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (cos.f64 y)) (+.f64 (/.f64 (pow.f64 x 2) (cos.f64 y)) (/.f64 (*.f64 (-.f64 (sin.f64 y) x) (-.f64 (*.f64 2 x) (*.f64 -1 (-.f64 (sin.f64 y) x)))) (cos.f64 y)))) z)) (+.f64 (*.f64 2 x) (*.f64 (cos.f64 y) z))) (*.f64 -1 (-.f64 (sin.f64 y) x)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (cos.f64 y)) (+.f64 (/.f64 (pow.f64 x 2) (cos.f64 y)) (/.f64 (*.f64 (-.f64 (sin.f64 y) x) (-.f64 (*.f64 2 x) (*.f64 -1 (-.f64 (sin.f64 y) x)))) (cos.f64 y)))) z)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 (cos.f64 y) z) (*.f64 -1 (/.f64 (*.f64 (-.f64 (sin.f64 y) x) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (cos.f64 y)) (+.f64 (/.f64 (pow.f64 x 2) (cos.f64 y)) (/.f64 (*.f64 (-.f64 (sin.f64 y) x) (-.f64 (*.f64 2 x) (*.f64 -1 (-.f64 (sin.f64 y) x)))) (cos.f64 y))))) (*.f64 (cos.f64 y) (pow.f64 z 2))))))) (*.f64 -1 (-.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (*.f64 z (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (*.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) x) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (*.f64 z (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (*.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) x) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (/.f64 (*.f64 (cos.f64 y) z) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (*.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) (pow.f64 x 2))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (*.f64 z (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (*.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) x) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (/.f64 (*.f64 (cos.f64 y) z) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (*.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (/.f64 (*.f64 z (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (*.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) (*.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) (/.f64 1 (*.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))) (pow.f64 x 3))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
x
(-.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 y) z)) x) (*.f64 -1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) x)) (+.f64 (*.f64 2 (*.f64 (cos.f64 y) z)) x)) (+.f64 (*.f64 -1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (*.f64 2 (*.f64 (cos.f64 y) z)) (*.f64 -1 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))) x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) x)) (+.f64 (*.f64 2 (*.f64 (cos.f64 y) z)) (+.f64 (/.f64 (*.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (*.f64 -1 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (*.f64 -1 (*.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (-.f64 (*.f64 2 (*.f64 (cos.f64 y) z)) (*.f64 -1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))))) (pow.f64 x 2)) x))) (+.f64 (*.f64 -1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (*.f64 2 (*.f64 (cos.f64 y) z)) (*.f64 -1 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))) x))))
x
(-.f64 (+.f64 (*.f64 2 (*.f64 z (cos.f64 y))) x) (*.f64 -1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (*.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (*.f64 2 (*.f64 z (cos.f64 y))) (*.f64 -1 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))) (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)))) x)) (+.f64 (*.f64 2 (*.f64 z (cos.f64 y))) x)) (*.f64 -1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (*.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (*.f64 2 (*.f64 z (cos.f64 y))) (*.f64 -1 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))) (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)))) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (*.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (-.f64 (*.f64 2 (*.f64 z (cos.f64 y))) (*.f64 -1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))))) (pow.f64 x 2))) (+.f64 (*.f64 2 (*.f64 z (cos.f64 y))) x))) (*.f64 -1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(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 x 2)
(+.f64 (pow.f64 x 2) (*.f64 2 (*.f64 z (*.f64 (cos.f64 y) x))))
(+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (+.f64 (pow.f64 x 2) (*.f64 2 (*.f64 z (*.f64 (cos.f64 y) x)))))
(+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (+.f64 (pow.f64 x 2) (*.f64 2 (*.f64 z (*.f64 (cos.f64 y) x)))))
(*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))
(+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (*.f64 2 (*.f64 z (*.f64 (cos.f64 y) x))))
(+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (+.f64 (pow.f64 x 2) (*.f64 2 (*.f64 z (*.f64 (cos.f64 y) x)))))
(+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (+.f64 (pow.f64 x 2) (*.f64 2 (*.f64 z (*.f64 (cos.f64 y) x)))))
(*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))
(+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (*.f64 2 (*.f64 z (*.f64 (cos.f64 y) x))))
(+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (+.f64 (pow.f64 x 2) (*.f64 2 (*.f64 z (*.f64 (cos.f64 y) x)))))
(+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (+.f64 (pow.f64 x 2) (*.f64 2 (*.f64 z (*.f64 (cos.f64 y) x)))))
(pow.f64 (+.f64 z x) 2)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (*.f64 z (+.f64 z x)))) (pow.f64 (+.f64 z x) 2))
(+.f64 (*.f64 (+.f64 (*.f64 1/12 (*.f64 z (+.f64 z x))) (*.f64 1/4 (pow.f64 z 2))) (pow.f64 y 4)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (*.f64 z (+.f64 z x)))) (pow.f64 (+.f64 z x) 2)))
(+.f64 (*.f64 (+.f64 (*.f64 1/12 (*.f64 z (+.f64 z x))) (*.f64 1/4 (pow.f64 z 2))) (pow.f64 y 4)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (*.f64 z (+.f64 z x)))) (+.f64 (pow.f64 (+.f64 z x) 2) (*.f64 (pow.f64 y 6) (+.f64 (*.f64 -1/360 (*.f64 z (+.f64 z x))) (*.f64 -1/24 (pow.f64 z 2)))))))
(pow.f64 (+.f64 (*.f64 (cos.f64 y) z) x) 2)
(pow.f64 (+.f64 (*.f64 (cos.f64 y) z) x) 2)
(pow.f64 (+.f64 (*.f64 (cos.f64 y) z) x) 2)
(pow.f64 (+.f64 (*.f64 (cos.f64 y) z) x) 2)
(pow.f64 (+.f64 (*.f64 (cos.f64 y) z) x) 2)
(pow.f64 (+.f64 (*.f64 (cos.f64 y) z) x) 2)
(pow.f64 (+.f64 (*.f64 (cos.f64 y) z) x) 2)
(pow.f64 (+.f64 (*.f64 (cos.f64 y) z) x) 2)
(*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (*.f64 z x))) (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (*.f64 z x))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (*.f64 z x))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))))
(pow.f64 x 2)
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (*.f64 z x))) (pow.f64 x 2))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (*.f64 z x))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (*.f64 z x))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 2 (*.f64 z (*.f64 (cos.f64 y) x))))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (*.f64 2 (*.f64 z (*.f64 (cos.f64 y) x)))))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (*.f64 2 (*.f64 z (*.f64 (cos.f64 y) x)))))
Outputs
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (+.f64 z x) y)
(+.f64 z (+.f64 x y))
(+.f64 (*.f64 (pow.f64 y 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 1 (*.f64 -1 (*.f64 z (+.f64 z x)))) (+.f64 z x))) (/.f64 1 (+.f64 z x))) (*.f64 -1/2 z))) (+.f64 y (+.f64 z x)))
(fma.f64 (*.f64 y y) (+.f64 (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (*.f64 z (+.f64 z x)))) (+.f64 z x)) (/.f64 1 (+.f64 z x))) (*.f64 1/2 z)) (+.f64 (+.f64 z x) y))
(fma.f64 (*.f64 y y) (+.f64 (-.f64 (/.f64 1 (+.f64 z x)) (/.f64 (+.f64 1 (*.f64 z (+.f64 z x))) (+.f64 z x))) (*.f64 z 1/2)) (+.f64 z (+.f64 x y)))
(fma.f64 (*.f64 y y) (-.f64 (+.f64 (/.f64 1 (+.f64 z x)) (*.f64 z 1/2)) (+.f64 (/.f64 1 (+.f64 z x)) (/.f64 z 1))) (+.f64 z (+.f64 x y)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 1 (*.f64 -1 (*.f64 z (+.f64 z x)))) (+.f64 z x))) (/.f64 1 (+.f64 z x))) (*.f64 -1/2 z)) (+.f64 z x))) (+.f64 1/6 (*.f64 -1/2 (/.f64 z (+.f64 z x))))) (pow.f64 y 3))) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 1 (*.f64 -1 (*.f64 z (+.f64 z x)))) (+.f64 z x))) (/.f64 1 (+.f64 z x))) (*.f64 -1/2 z))) (+.f64 y (+.f64 z x))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (+.f64 (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (*.f64 z (+.f64 z x)))) (+.f64 z x)) (/.f64 1 (+.f64 z x))) (*.f64 1/2 z)) (+.f64 z x)) (+.f64 1/6 (*.f64 -1/2 (/.f64 z (+.f64 z x))))) (pow.f64 y 3)) (fma.f64 (*.f64 y y) (+.f64 (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (*.f64 z (+.f64 z x)))) (+.f64 z x)) (/.f64 1 (+.f64 z x))) (*.f64 1/2 z)) (+.f64 (+.f64 z x) y)))
(fma.f64 (neg.f64 (-.f64 (fma.f64 -1/2 (/.f64 z (+.f64 z x)) 1/6) (/.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 z x)) (/.f64 (+.f64 1 (*.f64 z (+.f64 z x))) (+.f64 z x))) (*.f64 z 1/2)) (+.f64 z x)))) (pow.f64 y 3) (fma.f64 (*.f64 y y) (+.f64 (-.f64 (/.f64 1 (+.f64 z x)) (/.f64 (+.f64 1 (*.f64 z (+.f64 z x))) (+.f64 z x))) (*.f64 z 1/2)) (+.f64 z (+.f64 x y))))
(fma.f64 (neg.f64 (-.f64 (fma.f64 -1/2 (/.f64 z (+.f64 z x)) 1/6) (/.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 z x)) (*.f64 z 1/2)) (+.f64 (/.f64 1 (+.f64 z x)) (/.f64 z 1))) (+.f64 z x)))) (pow.f64 y 3) (fma.f64 (*.f64 y y) (-.f64 (+.f64 (/.f64 1 (+.f64 z x)) (*.f64 z 1/2)) (+.f64 (/.f64 1 (+.f64 z x)) (/.f64 z 1))) (+.f64 z (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) x) 2)) (-.f64 (sin.f64 y) (+.f64 (*.f64 (cos.f64 y) z) x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 (cos.f64 y) z x) 2)) (-.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2)) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) x) 2)) (-.f64 (sin.f64 y) (+.f64 (*.f64 (cos.f64 y) z) x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 (cos.f64 y) z x) 2)) (-.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2)) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) x) 2)) (-.f64 (sin.f64 y) (+.f64 (*.f64 (cos.f64 y) z) x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 (cos.f64 y) z x) 2)) (-.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2)) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) x) 2)) (-.f64 (sin.f64 y) (+.f64 (*.f64 (cos.f64 y) z) x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 (cos.f64 y) z x) 2)) (-.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)))
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(fma.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z) (*.f64 (*.f64 2 (cos.f64 y)) (*.f64 z x)))
(fma.f64 2 (*.f64 z (*.f64 x (cos.f64 y))) (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) 2))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (*.f64 z x))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z) (fma.f64 2 (*.f64 z (*.f64 x (cos.f64 y))) (*.f64 x x)))
(fma.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z) (fma.f64 x x (*.f64 z (*.f64 (*.f64 x (cos.f64 y)) 2))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (*.f64 z x))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z) (fma.f64 2 (*.f64 z (*.f64 x (cos.f64 y))) (*.f64 x x)))
(fma.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z) (fma.f64 x x (*.f64 z (*.f64 (*.f64 x (cos.f64 y)) 2))))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (*.f64 z x))) (pow.f64 x 2))
(fma.f64 2 (*.f64 z (*.f64 x (cos.f64 y))) (*.f64 x x))
(fma.f64 x x (*.f64 z (*.f64 (*.f64 x (cos.f64 y)) 2)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (*.f64 z x))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z) (fma.f64 2 (*.f64 z (*.f64 x (cos.f64 y))) (*.f64 x x)))
(fma.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z) (fma.f64 x x (*.f64 z (*.f64 (*.f64 x (cos.f64 y)) 2))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (*.f64 z x))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z) (fma.f64 2 (*.f64 z (*.f64 x (cos.f64 y))) (*.f64 x x)))
(fma.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z) (fma.f64 x x (*.f64 z (*.f64 (*.f64 x (cos.f64 y)) 2))))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 2 (*.f64 z (*.f64 (cos.f64 y) x))))
(fma.f64 2 (*.f64 z (*.f64 x (cos.f64 y))) (*.f64 x x))
(fma.f64 x x (*.f64 z (*.f64 (*.f64 x (cos.f64 y)) 2)))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (*.f64 2 (*.f64 z (*.f64 (cos.f64 y) x)))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z) (fma.f64 2 (*.f64 z (*.f64 x (cos.f64 y))) (*.f64 x x)))
(fma.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z) (fma.f64 x x (*.f64 z (*.f64 (*.f64 x (cos.f64 y)) 2))))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (*.f64 2 (*.f64 z (*.f64 (cos.f64 y) x)))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z) (fma.f64 2 (*.f64 z (*.f64 x (cos.f64 y))) (*.f64 x x)))
(fma.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z) (fma.f64 x x (*.f64 z (*.f64 (*.f64 x (cos.f64 y)) 2))))

eval87.0ms (1.6%)

Compiler

Compiled 8546 to 3034 computations (64.5% saved)

prune511.0ms (9.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2482250
Fresh101
Picked011
Done022
Total2495254
Error
0.0b
Counts
254 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
✓29.1b
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2)) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))
✓24.1b
(+.f64 (sin.f64 y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z x)))
▶0.2b
(pow.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) -1)
21.1b
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (*.f64 z (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (*.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) x) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
Compiler

Compiled 244 to 128 computations (47.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
0.0b
(fma.f64 z (cos.f64 y) x)
✓0.1b
(/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))
✓0.2b
(pow.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) -1)

series22.0ms (0.4%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
y
@inf
(pow.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) -1)
2.0ms
z
@-inf
(pow.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) -1)
2.0ms
z
@0
(pow.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) -1)
2.0ms
z
@inf
(pow.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) -1)
1.0ms
y
@0
(pow.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) -1)

rewrite53.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
594×prod-diff_binary64
221×fma-def_binary64
198×expm1-udef_binary64
198×log1p-udef_binary64
133×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01233
124727
2304727
Stop Event
1×node limit
Counts
2 → 85
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) -1)
(/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 2) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) 2) (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) (sqrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (fma.f64 z (cos.f64 y) x) 3)) (/.f64 1 (fma.f64 (fma.f64 z (cos.f64 y) x) (-.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) (pow.f64 (sin.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2)) (/.f64 1 (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) -1/2) -1) (pow.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 z (cos.f64 y) x) (-.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) (pow.f64 (sin.f64 y) 2)) (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (fma.f64 z (cos.f64 y) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) 2) (cbrt.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (fma.f64 z (cos.f64 y) x) 3)) (fma.f64 (fma.f64 z (cos.f64 y) x) (-.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (fma.f64 z (cos.f64 y) x) 3)) (+.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 2) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2)) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (fma.f64 z (cos.f64 y) x) 3))) (neg.f64 (fma.f64 (fma.f64 z (cos.f64 y) x) (-.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) (pow.f64 (sin.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2))) (neg.f64 (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) -2))) (cbrt.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 y) 1 (fma.f64 z (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 z (cos.f64 y) x) 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) x)) 2) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) x)) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) x)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (fma.f64 z (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (fma.f64 z (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) x)) (sqrt.f64 (fma.f64 z (cos.f64 y) x)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (fma.f64 z (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y))) (*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y))) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))) (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) -2)) (cbrt.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) -1/2) (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) -1) (pow.f64 (sqrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (fma.f64 z (cos.f64 y) x) 3))) (fma.f64 (fma.f64 z (cos.f64 y) x) (-.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2))) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))))))

simplify74.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
973×times-frac_binary64
248×fma-def_binary64
200×associate-+r+_binary64
173×+-commutative_binary64
148×associate-+l+_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02443421
18953028
234563028
Stop Event
1×node limit
Counts
157 → 166
Calls
Call 1
Inputs
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 y (+.f64 (*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (+.f64 z x)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 z x) 3)) (*.f64 -1/2 (/.f64 z (pow.f64 (+.f64 z x) 2)))) (pow.f64 (+.f64 z x) 2)))) (+.f64 z x)))
(+.f64 y (+.f64 (*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (+.f64 z x)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 z x) 3)) (*.f64 -1/2 (/.f64 z (pow.f64 (+.f64 z x) 2)))) (pow.f64 (+.f64 z x) 2)))) (+.f64 z (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 (+.f64 z x) 3))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 z x) 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 z x) 4)) (*.f64 1/2 (/.f64 z (pow.f64 (+.f64 z x) 3))))) (pow.f64 (+.f64 z x) 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 z x) 3)) (*.f64 -1/2 (/.f64 z (pow.f64 (+.f64 z x) 2)))) (+.f64 z x)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 z x)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 z x) 3)) (*.f64 -1/2 (/.f64 z (pow.f64 (+.f64 z x) 2)))) (pow.f64 (+.f64 z x) 2))) (+.f64 z x))))))) x))))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (sin.f64 y) x)) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (sin.f64 y) x)))) (pow.f64 z 2))) (+.f64 (sin.f64 y) x)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (sin.f64 y) x)) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (sin.f64 y) x)))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (sin.f64 y) x)) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (sin.f64 y) x)))) (cos.f64 y)) (+.f64 (sin.f64 y) x)) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 (sin.f64 y) x) 2))))) (pow.f64 z 3))) (+.f64 (sin.f64 y) x))))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 (cos.f64 y) 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) 2))) (*.f64 (+.f64 (sin.f64 y) x) (*.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (cos.f64 y)))) z)) (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 (cos.f64 y) 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))))) (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (*.f64 (cos.f64 y) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) 2))) (*.f64 (+.f64 (sin.f64 y) x) (*.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (cos.f64 y)))))) (*.f64 (+.f64 (sin.f64 y) x) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) 2))))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) 2))) (*.f64 (+.f64 (sin.f64 y) x) (*.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (cos.f64 y)))) z)) (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 (cos.f64 y) 2)))))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 (cos.f64 y) 2)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 (cos.f64 y) 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (sin.f64 y) x) (*.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (cos.f64 y))) z)) (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) 2) (pow.f64 (cos.f64 y) 3)) z))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (sin.f64 y) x) (*.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (cos.f64 y)))) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) 2))) (*.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (cos.f64 y)))) (*.f64 (+.f64 (sin.f64 y) x) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) 2))))) (pow.f64 z 2))) (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 (cos.f64 y) 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (sin.f64 y) x) (*.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (cos.f64 y))) z)) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) 2)) z)))))
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) (+.f64 x (*.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 1 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) (pow.f64 x 2)))))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) (pow.f64 x 3)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (+.f64 (sin.f64 y) (+.f64 x (*.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 1 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) (pow.f64 x 2))))))
x
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (*.f64 -1 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))) x)) (+.f64 (sin.f64 y) x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (*.f64 -1 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) 2) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 2)))) (pow.f64 x 2))) (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (*.f64 -1 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))) x)) (+.f64 (sin.f64 y) x))))
x
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) x) (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) x)) x))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) x) (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (*.f64 -1 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) 2) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 2)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) x)) x)))))
(/.f64 1 (+.f64 z x))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 (+.f64 z x) 2))) (/.f64 1 (+.f64 z x)))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 (+.f64 z x) 2))) (+.f64 (/.f64 1 (+.f64 z x)) (*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 z x) 3)) (*.f64 -1/2 (/.f64 z (pow.f64 (+.f64 z x) 2)))))))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 (+.f64 z x) 2))) (+.f64 (*.f64 (pow.f64 y 3) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 (+.f64 z x) 3))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 z x) 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 z x) 4)) (*.f64 1/2 (/.f64 z (pow.f64 (+.f64 z x) 3)))))) (+.f64 (/.f64 1 (+.f64 z x)) (*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 z x) 3)) (*.f64 -1/2 (/.f64 z (pow.f64 (+.f64 z x) 2))))))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(/.f64 1 (+.f64 (sin.f64 y) x))
(+.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(+.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) 2)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (+.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (pow.f64 (+.f64 (sin.f64 y) x) 4))))))
(/.f64 1 (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 z 2))) (/.f64 1 (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 z 2))) (+.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (/.f64 (*.f64 (+.f64 (sin.f64 y) x) (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2)))) (*.f64 (pow.f64 z 3) (cos.f64 y)))))
(+.f64 (/.f64 (*.f64 (+.f64 (sin.f64 y) x) (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2)))) (*.f64 (cos.f64 y) (pow.f64 z 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 z 2))) (+.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2)))) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 4)))))))
(/.f64 1 (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 z 2))) (/.f64 1 (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 z 2))) (+.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (/.f64 (*.f64 (+.f64 (sin.f64 y) x) (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2)))) (*.f64 (pow.f64 z 3) (cos.f64 y)))))
(+.f64 (/.f64 (*.f64 (+.f64 (sin.f64 y) x) (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2)))) (*.f64 (cos.f64 y) (pow.f64 z 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 z 2))) (+.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2)))) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 4)))))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(+.f64 (*.f64 -1 (/.f64 x (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))) (/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(+.f64 (*.f64 -1 (/.f64 x (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 2))) (/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))
(+.f64 (*.f64 -1 (/.f64 x (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) 2) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 2)))) (/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))))
(/.f64 1 x)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 2)) (pow.f64 x 4))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 2)) (pow.f64 x 4))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (pow.f64 x 3)) (/.f64 1 x))))
Outputs
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (+.f64 z x) y)
(+.f64 z (+.f64 x y))
(+.f64 y (+.f64 (*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (+.f64 z x)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 z x) 3)) (*.f64 -1/2 (/.f64 z (pow.f64 (+.f64 z x) 2)))) (pow.f64 (+.f64 z x) 2)))) (+.f64 z x)))
(+.f64 y (fma.f64 (*.f64 y y) (-.f64 (/.f64 1 (+.f64 z x)) (*.f64 (pow.f64 (+.f64 z x) 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 z x) 3)) (*.f64 1/2 (/.f64 z (pow.f64 (+.f64 z x) 2)))))) (+.f64 z x)))
(+.f64 y (+.f64 x (fma.f64 (*.f64 y y) (-.f64 (/.f64 1 (+.f64 z x)) (*.f64 (pow.f64 (+.f64 z x) 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 z x) 3)) (*.f64 (/.f64 z (pow.f64 (+.f64 z x) 2)) 1/2)))) z)))
(+.f64 y (+.f64 (*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (+.f64 z x)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 z x) 3)) (*.f64 -1/2 (/.f64 z (pow.f64 (+.f64 z x) 2)))) (pow.f64 (+.f64 z x) 2)))) (+.f64 z (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 (+.f64 z x) 3))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 z x) 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 z x) 4)) (*.f64 1/2 (/.f64 z (pow.f64 (+.f64 z x) 3))))) (pow.f64 (+.f64 z x) 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 z x) 3)) (*.f64 -1/2 (/.f64 z (pow.f64 (+.f64 z x) 2)))) (+.f64 z x)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 z x)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 z x) 3)) (*.f64 -1/2 (/.f64 z (pow.f64 (+.f64 z x) 2)))) (pow.f64 (+.f64 z x) 2))) (+.f64 z x))))))) x))))
(+.f64 y (fma.f64 (*.f64 y y) (-.f64 (/.f64 1 (+.f64 z x)) (*.f64 (pow.f64 (+.f64 z x) 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 z x) 3)) (*.f64 1/2 (/.f64 z (pow.f64 (+.f64 z x) 2)))))) (+.f64 z (fma.f64 -1 (*.f64 (pow.f64 y 3) (fma.f64 (-.f64 (fma.f64 -1/2 (/.f64 z (pow.f64 (+.f64 z x) 3)) (/.f64 1/6 (pow.f64 (+.f64 z x) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 z x) 4)) (*.f64 (/.f64 z (pow.f64 (+.f64 z x) 3)) 1/2))) (pow.f64 (+.f64 z x) 2) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 z x) 3)) (*.f64 1/2 (/.f64 z (pow.f64 (+.f64 z x) 2)))) (+.f64 z x) (neg.f64 (/.f64 (-.f64 (/.f64 1 (+.f64 z x)) (*.f64 (pow.f64 (+.f64 z x) 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 z x) 3)) (*.f64 1/2 (/.f64 z (pow.f64 (+.f64 z x) 2)))))) (+.f64 z x)))))) x))))
(+.f64 (fma.f64 (*.f64 y y) (-.f64 (/.f64 1 (+.f64 z x)) (*.f64 (pow.f64 (+.f64 z x) 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 z x) 3)) (*.f64 (/.f64 z (pow.f64 (+.f64 z x) 2)) 1/2)))) z) (+.f64 (-.f64 x (*.f64 (pow.f64 y 3) (-.f64 (fma.f64 (pow.f64 (+.f64 z x) 2) (-.f64 (fma.f64 -1/2 (/.f64 z (pow.f64 (+.f64 z x) 3)) (/.f64 1/6 (pow.f64 (+.f64 z x) 2))) (fma.f64 (/.f64 z (pow.f64 (+.f64 z x) 3)) 1/2 (/.f64 1 (pow.f64 (+.f64 z x) 4)))) (*.f64 (+.f64 z x) (+.f64 (/.f64 1 (pow.f64 (+.f64 z x) 3)) (*.f64 (/.f64 z (pow.f64 (+.f64 z x) 2)) 1/2)))) (/.f64 (-.f64 (/.f64 1 (+.f64 z x)) (*.f64 (pow.f64 (+.f64 z x) 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 z x) 3)) (*.f64 (/.f64 z (pow.f64 (+.f64 z x) 2)) 1/2)))) (+.f64 z x))))) y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (sin.f64 y) x)) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (sin.f64 y) x)))) (pow.f64 z 2))) (+.f64 (sin.f64 y) x)))
(fma.f64 (cos.f64 y) z (fma.f64 -1 (*.f64 (*.f64 0 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 x (sin.f64 y)))) (*.f64 z z)) (+.f64 x (sin.f64 y))))
(fma.f64 z (cos.f64 y) (+.f64 x (fma.f64 0 (*.f64 z z) (sin.f64 y))))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (sin.f64 y) x)) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (sin.f64 y) x)))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (sin.f64 y) x)) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (sin.f64 y) x)))) (cos.f64 y)) (+.f64 (sin.f64 y) x)) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 (sin.f64 y) x) 2))))) (pow.f64 z 3))) (+.f64 (sin.f64 y) x))))
(fma.f64 (cos.f64 y) z (fma.f64 -1 (*.f64 (*.f64 0 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 x (sin.f64 y)))) (*.f64 z z)) (fma.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (+.f64 (/.f64 (*.f64 0 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 x (sin.f64 y)))) (/.f64 (+.f64 x (sin.f64 y)) (cos.f64 y))) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 x (sin.f64 y)) 2))))) (pow.f64 z 3)) (+.f64 x (sin.f64 y)))))
(fma.f64 z (cos.f64 y) (fma.f64 0 (*.f64 z z) (+.f64 x (fma.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (-.f64 (/.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) 0)) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 x (sin.f64 y)) 2))))) (pow.f64 z 3) (sin.f64 y)))))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 (cos.f64 y) 2)))
(fma.f64 (cos.f64 y) z (*.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2)))))
(fma.f64 z (cos.f64 y) (*.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) 2))) (*.f64 (+.f64 (sin.f64 y) x) (*.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (cos.f64 y)))) z)) (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 (cos.f64 y) 2))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) 2)) (*.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2)))))) z) (fma.f64 (cos.f64 y) z (*.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))))))
(-.f64 (fma.f64 z (cos.f64 y) (*.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))))) (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (*.f64 (+.f64 x (sin.f64 y)) (cos.f64 y))) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) 2))) z))
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x
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(fma.f64 -1 (/.f64 x (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2)) (+.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y))) (/.f64 (*.f64 x x) (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2)))))
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(+.f64 (*.f64 -1 (/.f64 x (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) 2) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 2)))) (/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))))
(fma.f64 -1 (/.f64 x (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2)) (+.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2))) (fma.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2))) (/.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y))))))
(+.f64 (-.f64 (/.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3)) (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 4))) (-.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y))) (/.f64 x (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2))))
(/.f64 1 x)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 x 2))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 x x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 x x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (pow.f64 x 3)) (/.f64 1 x)))
(fma.f64 -1 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2) (pow.f64 x 3))))
(+.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2) (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 x x))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 2)) (pow.f64 x 4))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (pow.f64 x 3)) (/.f64 1 x))))
(fma.f64 -1 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 x x)) (fma.f64 -1 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (/.f64 (pow.f64 x 4) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2))) (+.f64 (/.f64 1 x) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2) (pow.f64 x 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2) (pow.f64 x 3))) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3) (pow.f64 x 4))) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 x x)))
(/.f64 1 x)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 x 2))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 x x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 x x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (pow.f64 x 3)) (/.f64 1 x)))
(fma.f64 -1 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2) (pow.f64 x 3))))
(+.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2) (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 x x))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 2)) (pow.f64 x 4))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (pow.f64 x 3)) (/.f64 1 x))))
(fma.f64 -1 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 x x)) (fma.f64 -1 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (/.f64 (pow.f64 x 4) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2))) (+.f64 (/.f64 1 x) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2) (pow.f64 x 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2) (pow.f64 x 3))) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3) (pow.f64 x 4))) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 x x)))

eval93.0ms (1.8%)

Compiler

Compiled 6643 to 2771 computations (58.3% saved)

prune690.0ms (13.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New2491250
Fresh011
Picked011
Done033
Total2496255
Error
0.0b
Counts
255 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓24.1b
(+.f64 (sin.f64 y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z x)))
28.9b
(pow.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))) (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) -2))) -1)
✓0.0b
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
✓29.1b
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2)) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))
✓0.2b
(pow.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) -1)
21.1b
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (*.f64 z (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (*.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) x) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
Compiler

Compiled 176 to 96 computations (45.5% saved)

regimes29.0ms (0.6%)

Accuracy

Total -52.1b remaining (-129304.6%)

Threshold costs -52.1b (-129304.6%)

Counts
8 → 1
Calls
Call 1
Inputs
(pow.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))) (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) -2))) -1)
(pow.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) -1)
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (*.f64 z (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (*.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) x) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (fma.f64 z (cos.f64 y) x) 2)) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))
(+.f64 (sin.f64 y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z x)))
(+.f64 (sin.f64 y) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 3)))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Outputs
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
Results
TimeErrorSegmentsBranch
7.0ms0.0b1x
5.0ms0.0b1y
5.0ms0.0b1z
7.0ms0.0b1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 205 to 90 computations (56.1% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
1912
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
Outputs
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))

end15.0ms (0.3%)

Stop Event
1×fuel
Compiler

Compiled 22 to 14 computations (36.4% saved)

Profiling

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