Details

Time bar (total: 8.4s)

analyze275.0ms (3.3%)

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

Compiled 13 to 9 computations (30.8% saved)

sample2.3s (26.7%)

Results
1.1s6215×body256valid
763.0ms1387×body1024valid
337.0ms650×body512valid
3.0ms4×body2048valid
Bogosity

preprocess7.0ms (0.1%)

Algorithm
2×egg-herbie
Rules
50×+-commutative
48×fma-def
16×associate-+l+
8×associate-+r+
8×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024108
14492
27792
39892
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)))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (+.f64 y (sin.f64 x)) (*.f64 z (cos.f64 x)))
(+.f64 y (+.f64 (sin.f64 x) (*.f64 z (cos.f64 x))))
(fma.f64 z (cos.f64 x) (+.f64 y (sin.f64 x)))
(+.f64 y (fma.f64 z (cos.f64 x) (sin.f64 x)))
(+.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)))
(+.f64 x (+.f64 (sin.f64 z) (*.f64 y (cos.f64 z))))
(fma.f64 y (cos.f64 z) (+.f64 x (sin.f64 z)))
(+.f64 x (fma.f64 y (cos.f64 z) (sin.f64 z)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
14×+-commutative
12×fma-def
4×associate-+l+
2×associate-+r+
2×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01127
11623
22523
33123
Stop Event
1×saturated
Counts
1 → 3
Calls
Call 1
Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))

eval1.0ms (0%)

Compiler

Compiled 28 to 11 computations (60.7% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Compiled 23 to 15 computations (34.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 27 to 8 computations (70.4% saved)

series6.0ms (0.1%)

Counts
4 → 80
Calls

24 calls:

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

rewrite104.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1040×associate-*r/
1002×distribute-rgt-in
988×associate-*l/
968×distribute-lft-in
374×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01154
123650
2327750
Stop Event
1×node limit
Counts
4 → 209
Calls
Call 1
Inputs
(*.f64 z (cos.f64 y))
(cos.f64 y)
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 x (sin.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 y))) (-.f64 1 (+.f64 (*.f64 z (cos.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y)))) (-.f64 1 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x)) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 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#<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (/.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))))) (#(struct:change #<rule 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simplify116.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
876×associate-*r*
802×associate-*l*
738×associate-/l*
606×fma-def
524×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056611721
1162011381
Stop Event
1×node limit
Counts
289 → 334
Calls
Call 1
Inputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
x
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
x
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
x
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
x
(+.f64 y x)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y x))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) x)))
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)
(*.f64 (cos.f64 y) 1)
(*.f64 1 (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 1)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(log.f64 (exp.f64 (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(expm1.f64 (log1p.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) (-.f64 1 (+.f64 (*.f64 z (cos.f64 y)) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y)))) (-.f64 1 (*.f64 z (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (+.f64 x (sin.f64 y))))
(-.f64 (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x)) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y))))) 1)
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))))
(-.f64 (+.f64 (+.f64 x (sin.f64 y)) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1)
(-.f64 (+.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 (+.f64 (*.f64 z (cos.f64 y)) x) (exp.f64 (log1p.f64 (sin.f64 y)))) 1)
(*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)
(*.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(*.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))))
(*.f64 (/.f64 1 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (*.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) 3) (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))))
(/.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (/.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (/.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) (/.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) (-.f64 x (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (-.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (*.f64 x (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 3)) (*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2))) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))
(/.f64 (*.f64 1 (-.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))) (-.f64 x (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
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(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) (neg.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
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(/.f64 (*.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))) (sqrt.f64 (-.f64 x (sin.f64 y))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))) (cbrt.f64 (-.f64 x (sin.f64 y))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) 1) (-.f64 (sin.f64 y) x))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) 1) (neg.f64 (-.f64 x (sin.f64 y))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (sqrt.f64 (+.f64 x (sin.f64 y)))) (sqrt.f64 (-.f64 x (sin.f64 y))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (sqrt.f64 (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2)) (cbrt.f64 (-.f64 x (sin.f64 y))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (-.f64 x (sin.f64 y)))) (+.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (sin.f64 y) 2) 3)) (/.f64 1 (-.f64 x (sin.f64 y)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (sin.f64 y) 3))) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (sin.f64 y) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) 1) (-.f64 x (sin.f64 y)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (-.f64 x (sin.f64 y)))) (sqrt.f64 (-.f64 x (sin.f64 y))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (*.f64 (cbrt.f64 (-.f64 x (sin.f64 y))) (cbrt.f64 (-.f64 x (sin.f64 y))))) (cbrt.f64 (-.f64 x (sin.f64 y))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (+.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) 1) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(pow.f64 (+.f64 x (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 3)
(pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2))
(log.f64 (exp.f64 (+.f64 x (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 y)))))
(cbrt.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sin.f64 y))))
(exp.f64 (log.f64 (+.f64 x (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (sin.f64 y))))
(fma.f64 1 x (sin.f64 y))
(fma.f64 1 (sin.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 y))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) x)
Outputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 1/24 (*.f64 z (pow.f64 y 4))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (*.f64 1/24 (*.f64 z (pow.f64 y 4))))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 y -1/2))))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(+.f64 (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 y -1/2))) (fma.f64 -1/720 (pow.f64 y 6) 1))
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
x
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 z x)))
(+.f64 (+.f64 z x) (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 z x))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (+.f64 z x) (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
x
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
x
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
x
(+.f64 y x)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y x))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y x))
(+.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) x)))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y (fma.f64 1/120 (pow.f64 y 5) x)))
(+.f64 (fma.f64 1/120 (pow.f64 y 5) x) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(*.f64 (cos.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(fabs.f64 (*.f64 (cos.f64 y) z))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)
(cos.f64 y)
(*.f64 (cos.f64 y) 1)
(cos.f64 y)
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cos.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(cos.f64 y)
(pow.f64 (cos.f64 y) 1)
(cos.f64 y)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(cos.f64 y)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(cos.f64 y)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(cos.f64 y)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(fabs.f64 (cos.f64 y))
(log.f64 (exp.f64 (cos.f64 y)))
(cos.f64 y)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))
(cos.f64 y)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (log.f64 (cos.f64 y)))
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(/.f64 (*.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (/.f64 (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))))
(/.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (/.f64 (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (hypot.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 x 3/2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))) (cbrt.f64 (-.f64 x (sin.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (/.f64 (cbrt.f64 (-.f64 x (sin.f64 y))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (-.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (/.f64 (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) 1) (-.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) x)
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) 1) (neg.f64 (-.f64 x (sin.f64 y))))
(+.f64 (sin.f64 y) x)
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (sqrt.f64 (+.f64 x (sin.f64 y)))) (sqrt.f64 (-.f64 x (sin.f64 y))))
(/.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 y))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (-.f64 x (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (sqrt.f64 (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (/.f64 (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))))
(/.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (/.f64 (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (hypot.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 x 3/2))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2)) (cbrt.f64 (-.f64 x (sin.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (/.f64 (cbrt.f64 (-.f64 x (sin.f64 y))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (-.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (/.f64 (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (-.f64 x (sin.f64 y)))) (+.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 (sin.f64 y) 4)) (*.f64 (-.f64 x (sin.f64 y)) (fma.f64 x x (pow.f64 (sin.f64 y) 2))))
(*.f64 (/.f64 (fma.f64 x x (pow.f64 (sin.f64 y) 2)) (fma.f64 x x (pow.f64 (sin.f64 y) 2))) (+.f64 (sin.f64 y) x))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (sin.f64 y) 2) 3)) (/.f64 1 (-.f64 x (sin.f64 y)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (sin.f64 y) 2) 3)) (*.f64 (-.f64 x (sin.f64 y)) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (pow.f64 (sin.f64 y) 2) (fma.f64 x x (pow.f64 (sin.f64 y) 2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (sin.f64 y) 6)) (-.f64 x (sin.f64 y))) (fma.f64 (pow.f64 (sin.f64 y) 2) (fma.f64 x x (pow.f64 (sin.f64 y) 2)) (pow.f64 x 4)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (sin.f64 y) 3))) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (sin.f64 y) 6)) (*.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (sin.f64 y) 6)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (sin.f64 y) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (sin.f64 y) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (sin.f64 y) 6) (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (sin.f64 y) 3) 3)) (fma.f64 (pow.f64 (sin.f64 y) 3) (-.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (pow.f64 x 6))) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) 1) (-.f64 x (sin.f64 y)))
(+.f64 (sin.f64 y) x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (-.f64 x (sin.f64 y)))) (sqrt.f64 (-.f64 x (sin.f64 y))))
(+.f64 (sin.f64 y) x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (*.f64 (cbrt.f64 (-.f64 x (sin.f64 y))) (cbrt.f64 (-.f64 x (sin.f64 y))))) (cbrt.f64 (-.f64 x (sin.f64 y))))
(+.f64 (sin.f64 y) x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (+.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) 1) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(pow.f64 (+.f64 x (sin.f64 y)) 1)
(+.f64 (sin.f64 y) x)
(pow.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) 2)
(+.f64 (sin.f64 y) x)
(pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 3)
(+.f64 (sin.f64 y) x)
(pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) 1/3)
(+.f64 (sin.f64 y) x)
(sqrt.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2))
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2))
(fabs.f64 (+.f64 (sin.f64 y) x))
(log.f64 (exp.f64 (+.f64 x (sin.f64 y))))
(+.f64 (sin.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 y)))))
(+.f64 (sin.f64 y) x)
(cbrt.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3))
(+.f64 (sin.f64 y) x)
(expm1.f64 (log1p.f64 (+.f64 x (sin.f64 y))))
(+.f64 (sin.f64 y) x)
(exp.f64 (log.f64 (+.f64 x (sin.f64 y))))
(+.f64 (sin.f64 y) x)
(exp.f64 (*.f64 (log.f64 (+.f64 x (sin.f64 y))) 1))
(+.f64 (sin.f64 y) x)
(log1p.f64 (expm1.f64 (+.f64 x (sin.f64 y))))
(+.f64 (sin.f64 y) x)
(fma.f64 1 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(fma.f64 1 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 y))
(+.f64 (sin.f64 y) x)
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) x)
(+.f64 (sin.f64 y) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) x)
(+.f64 (sin.f64 y) x)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 22 to 7 computations (68.2% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite65.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1010×*-commutative
818×unswap-sqr
578×swap-sqr
496×distribute-lft-in
482×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01123
122423
2284323
Stop Event
1×node limit
Counts
1 → 43
Calls
Call 1
Inputs
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 z (cos.f64 y))) (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 (*.f64 (+.f64 x (*.f64 z (cos.f64 y))) 1) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (sin.f64 y) (*.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) (+.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y)))) (-.f64 1 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z (cos.f64 y)) (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (exp.f64 (log1p.f64 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) 2))) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) 2)) 1) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))))

simplify73.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
936×distribute-lft-in
898×distribute-rgt-in
838×*-commutative
584×+-commutative
532×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01332517
13302417
211812417
347482417
Stop Event
1×node limit
Counts
79 → 76
Calls
Call 1
Inputs
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(+.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (sin.f64 y))
(+.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) x)
(+.f64 (*.f64 (+.f64 x (*.f64 z (cos.f64 y))) 1) (sin.f64 y))
(+.f64 (*.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 1) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y)))) (-.f64 1 (*.f64 z (cos.f64 y))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))))
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y))))) 1)
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))))
(-.f64 (+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (exp.f64 (log1p.f64 (sin.f64 y)))) 1)
(-.f64 (+.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)
(*.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/6))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) 2))) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) 2)) 1) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
Outputs
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 z x)
(+.f64 x z)
(+.f64 y (+.f64 z x))
(+.f64 y (+.f64 x z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 x z)))
(+.f64 (+.f64 x z) (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y))
(+.f64 y (fma.f64 (*.f64 y y) (*.f64 z -1/2) (+.f64 x z)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 x z))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (+.f64 x z) (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y)))
(+.f64 (+.f64 x z) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 z (*.f64 y (*.f64 y -1/2)) y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
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(/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (fma.f64 (+.f64 (sin.f64 y) x) (+.f64 (sin.f64 y) (-.f64 x (*.f64 (cos.f64 y) z))) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z))))
(/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (fma.f64 z (*.f64 z (pow.f64 (cos.f64 y) 2)) (*.f64 (+.f64 (sin.f64 y) x) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (fma.f64 (+.f64 (sin.f64 y) x) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z))))
(pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/3)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 2))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))

eval144.0ms (1.7%)

Compiler

Compiled 13620 to 4360 computations (68% saved)

prune105.0ms (1.2%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New54515560
Fresh000
Picked101
Done011
Total54616562
Error
0.0b
Counts
562 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))
▶28.3b
(fma.f64 (cos.f64 y) z (sin.f64 y))
29.2b
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) 2) (/.f64 (cbrt.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))))
48.6b
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))))
0.2b
(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
▶0.5b
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
0.2b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 3)))
▶0.1b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (log.f64 (exp.f64 (cos.f64 y)))))
✓0.0b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
10.5b
(+.f64 (+.f64 x (sin.f64 y)) z)
28.3b
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
▶25.5b
(+.f64 (sin.f64 y) x)
▶19.9b
(+.f64 z x)
22.0b
(+.f64 y (+.f64 z x))
37.5b
(*.f64 (cos.f64 y) z)
35.0b
x
Compiler

Compiled 474 to 293 computations (38.2% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 y)
✓0.1b
(exp.f64 (cos.f64 y))
✓0.1b
(*.f64 z (log.f64 (exp.f64 (cos.f64 y))))
✓0.3b
(log.f64 (exp.f64 (cos.f64 y)))
Compiler

Compiled 38 to 10 computations (73.7% saved)

series1.0ms (0%)

Counts
3 → 40
Calls

12 calls:

TimeVariablePointExpression
0.0ms
y
@0
(exp.f64 (cos.f64 y))
0.0ms
y
@0
(log.f64 (exp.f64 (cos.f64 y)))
0.0ms
y
@inf
(exp.f64 (cos.f64 y))
0.0ms
y
@-inf
(exp.f64 (cos.f64 y))
0.0ms
y
@0
(*.f64 z (log.f64 (exp.f64 (cos.f64 y))))

rewrite56.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1420×add-sqr-sqrt
1410×*-un-lft-identity
1296×add-cube-cbrt
1276×add-cbrt-cube
1260×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
116525
2177525
Stop Event
1×node limit
Counts
3 → 51
Calls
Call 1
Inputs
(log.f64 (exp.f64 (cos.f64 y)))
(*.f64 z (log.f64 (exp.f64 (cos.f64 y))))
(exp.f64 (cos.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) (sqrt.f64 (exp.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2) (cbrt.f64 (exp.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (cos.f64 y))))))))

simplify60.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1122×unswap-sqr
914×fma-def
804×associate-*r/
666×associate-*l/
506×distribute-lft-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01391153
13171137
21382985
35349977
Stop Event
1×node limit
Counts
91 → 94
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(exp.f64 1)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (exp.f64 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 1))) (exp.f64 1)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 1))) (+.f64 (*.f64 -31/720 (*.f64 (pow.f64 y 6) (exp.f64 1))) (exp.f64 1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 y)))))
(+.f64 0 (cos.f64 y))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(*.f64 (cos.f64 y) 1)
(*.f64 1 (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 1)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(-.f64 (+.f64 1 (exp.f64 (cos.f64 y))) 1)
(*.f64 (exp.f64 (cos.f64 y)) 1)
(*.f64 1 (exp.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) (sqrt.f64 (exp.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2) (cbrt.f64 (exp.f64 (cos.f64 y))))
(pow.f64 (exp.f64 (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1/3)
(pow.f64 (exp.f64 1) (cos.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(pow.f64 (exp.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) 2))
(log.f64 (exp.f64 (exp.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 y))))
Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 (*.f64 -1/2 y) y)))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(+.f64 (fma.f64 1/24 (pow.f64 y 4) (*.f64 (*.f64 -1/2 y) y)) (fma.f64 -1/720 (pow.f64 y 6) 1))
(fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) z)
(fma.f64 (*.f64 (*.f64 -1/2 y) y) z z)
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) z) z) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 1/24 (*.f64 (pow.f64 y 4) z) z))
(*.f64 z (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 -1/720 (*.f64 (pow.f64 y 6) z) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 -1/720 (*.f64 (pow.f64 y 6) z) (fma.f64 1/24 (*.f64 (pow.f64 y 4) z) z)))
(+.f64 z (*.f64 z (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))))))
(*.f64 z (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1))))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(exp.f64 1)
(E.f64)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (exp.f64 1))
(fma.f64 -1/2 (*.f64 (*.f64 y y) (E.f64)) (E.f64))
(*.f64 (fma.f64 -1/2 (*.f64 y y) 1) (E.f64))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 1))) (exp.f64 1)))
(fma.f64 -1/2 (*.f64 (*.f64 y y) (E.f64)) (fma.f64 1/6 (*.f64 (pow.f64 y 4) (E.f64)) (E.f64)))
(fma.f64 -1/2 (*.f64 y (*.f64 y (E.f64))) (fma.f64 1/6 (*.f64 (pow.f64 y 4) (E.f64)) (E.f64)))
(fma.f64 (E.f64) (fma.f64 -1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) 1/6)) (E.f64))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 1))) (+.f64 (*.f64 -31/720 (*.f64 (pow.f64 y 6) (exp.f64 1))) (exp.f64 1))))
(fma.f64 -1/2 (*.f64 (*.f64 y y) (E.f64)) (fma.f64 1/6 (*.f64 (pow.f64 y 4) (E.f64)) (fma.f64 -31/720 (*.f64 (pow.f64 y 6) (E.f64)) (E.f64))))
(+.f64 (*.f64 (E.f64) (+.f64 (*.f64 (pow.f64 y 4) 1/6) (*.f64 (pow.f64 y 6) -31/720))) (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) (E.f64)))
(fma.f64 (E.f64) (fma.f64 (pow.f64 y 4) 1/6 (*.f64 (pow.f64 y 6) -31/720)) (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) (E.f64)))
(*.f64 (E.f64) (+.f64 (fma.f64 (pow.f64 y 4) 1/6 (*.f64 (pow.f64 y 6) -31/720)) (fma.f64 -1/2 (*.f64 y y) 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 y)))))
(cos.f64 y)
(+.f64 0 (cos.f64 y))
(cos.f64 y)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(cos.f64 y)
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(cos.f64 y)
(*.f64 (cos.f64 y) 1)
(cos.f64 y)
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cos.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(cos.f64 y)
(pow.f64 (cos.f64 y) 1)
(cos.f64 y)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(cos.f64 y)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(cos.f64 y)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(cos.f64 y)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(cos.f64 y)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (log.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(cos.f64 y)
(log1p.f64 (expm1.f64 (cos.f64 y)))
(cos.f64 y)
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(*.f64 (cos.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(*.f64 (cos.f64 y) z)
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) 1))
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(-.f64 (+.f64 1 (exp.f64 (cos.f64 y))) 1)
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(*.f64 (exp.f64 (cos.f64 y)) 1)
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(*.f64 1 (exp.f64 (cos.f64 y)))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) (sqrt.f64 (exp.f64 (cos.f64 y))))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2) (cbrt.f64 (exp.f64 (cos.f64 y))))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(pow.f64 (exp.f64 (cos.f64 y)) 1)
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(pow.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) 2)
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 3)
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1/3)
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(pow.f64 (exp.f64 1) (cos.f64 y))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(pow.f64 (exp.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) 2))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(log.f64 (exp.f64 (exp.f64 (cos.f64 y))))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 y))))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))

localize3.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (sin.f64 y) x)
Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts
1 → 7
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@0
(+.f64 (sin.f64 y) x)
0.0ms
y
@-inf
(+.f64 (sin.f64 y) x)
0.0ms
x
@inf
(+.f64 (sin.f64 y) x)
0.0ms
x
@-inf
(+.f64 (sin.f64 y) x)
0.0ms
y
@inf
(+.f64 (sin.f64 y) x)

rewrite55.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1590×add-sqr-sqrt
1574×*-un-lft-identity
1466×add-cube-cbrt
1450×add-cbrt-cube
1436×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114611
2191611
Stop Event
1×node limit
Counts
1 → 34
Calls
Call 1
Inputs
(+.f64 (sin.f64 y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sin.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (+.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (+.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (sin.f64 y) x) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sin.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 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)) x)))))

simplify56.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1052×associate-*r*
938×associate-*l*
760×associate-+r+
522×distribute-lft-neg-in
500×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0991169
1255981
2921843
34517843
Stop Event
1×node limit
Counts
41 → 51
Calls
Call 1
Inputs
x
(+.f64 y x)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y x))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) x)))
(sin.f64 y)
x
x
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (sin.f64 y) x)))
(*.f64 (+.f64 (sin.f64 y) x) 1)
(*.f64 1 (+.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (+.f64 (sin.f64 y) x)))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (+.f64 (sin.f64 y) x)))
(*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (sin.f64 y) x)))
(*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y))))))
(/.f64 1 (/.f64 (-.f64 (sin.f64 y) x) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (sin.f64 y) x))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sin.f64 y) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (sin.f64 y) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y))))))
(pow.f64 (+.f64 (sin.f64 y) x) 1)
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 3)
(pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2))
(log.f64 (exp.f64 (+.f64 (sin.f64 y) x)))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(exp.f64 (log.f64 (+.f64 (sin.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 y) x)))
(fma.f64 1 (sin.f64 y) x)
(fma.f64 1 x (sin.f64 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 y))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) x)
Outputs
x
(+.f64 y x)
(+.f64 x y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y x))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 x y))
(+.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) x)))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y (fma.f64 1/120 (pow.f64 y 5) x)))
(+.f64 (fma.f64 1/120 (pow.f64 y 5) x) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(sin.f64 y)
x
x
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (sin.f64 y) x))
(*.f64 (+.f64 (sin.f64 y) x) 1)
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(*.f64 1 (+.f64 (sin.f64 y) x))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (+.f64 (sin.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (+.f64 (sin.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (sin.f64 y) x))
(*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 1 (/.f64 (-.f64 (sin.f64 y) x) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (sin.f64 y) x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (sin.f64 y) x))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sin.f64 y) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (sin.f64 y) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (sin.f64 y) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(pow.f64 (+.f64 (sin.f64 y) x) 1)
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) 2)
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 3)
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) 1/3)
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(log.f64 (exp.f64 (+.f64 (sin.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(exp.f64 (log.f64 (+.f64 (sin.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 y) x)) 1))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(fma.f64 1 (sin.f64 y) x)
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(fma.f64 1 x (sin.f64 y))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 y))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) x)
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sin.f64 y))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) x)
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 y)
✓0.1b
(fma.f64 (cos.f64 y) z (sin.f64 y))
Compiler

Compiled 15 to 6 computations (60% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite52.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1512×add-sqr-sqrt
1502×*-un-lft-identity
1380×add-cube-cbrt
1362×add-cbrt-cube
1346×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
115617
2183417
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (sin.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 y) z) 1) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z)) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))))

simplify65.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1270×associate-/r*
1106×associate-*r*
942×*-commutative
900×associate-*l*
548×+-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
068904
1176898
2755892
33403846
46379846
Stop Event
1×node limit
Counts
46 → 46
Calls
Call 1
Inputs
z
(+.f64 y z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z)))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(sin.f64 y)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (*.f64 (cos.f64 y) z) 1) (sin.f64 y))
(-.f64 (+.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y))) 1)
(*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)
(*.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y)))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z)) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
Outputs
z
(+.f64 y z)
(+.f64 z y)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z y))
(+.f64 z (fma.f64 -1/2 (*.f64 z (*.f64 y y)) y))
(+.f64 z (fma.f64 (*.f64 y y) (*.f64 z -1/2) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z)))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z y)))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 z (fma.f64 -1/2 (*.f64 z (*.f64 y y)) y)))
(+.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 (*.f64 y y) (*.f64 z -1/2) y)))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(sin.f64 y)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (*.f64 (cos.f64 y) z) 1) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(-.f64 (+.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y))) 1)
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z)) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(/.f64 (-.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(/.f64 (-.f64 (*.f64 z (*.f64 z (*.f64 (cos.f64 y) (cos.f64 y)))) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (cos.f64 y) (*.f64 z (*.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2)
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 3)
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3) 1/3)
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 2))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 1))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 43 to 14 computations (67.4% saved)

series11.0ms (0.1%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
2.0ms
y
@0
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
2.0ms
z
@-inf
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
2.0ms
y
@-inf
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
1.0ms
z
@0
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)

rewrite58.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1654×add-sqr-sqrt
1624×*-un-lft-identity
1524×add-cube-cbrt
1504×add-cbrt-cube
172×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
120326
2213826
Stop Event
1×node limit
Counts
2 → 57
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (*.f64 z (cos.f64 y)) 1/6)) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (cos.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))))

simplify74.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1176×fma-def
908×*-commutative
784×distribute-lft-in
740×distribute-rgt-in
528×distribute-lft-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01971795
15391709
219021635
357101617
Stop Event
1×node limit
Counts
81 → 92
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) z))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z)))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3))))) (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (pow.f64 y 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z))))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(pow.f64 z 1/3)
(+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2)))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 6) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(*.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 1 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (*.f64 z (cos.f64 y)) 1/6)) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) 1)
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)
(*.f64 1 (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)
(pow.f64 (*.f64 z (cos.f64 y)) 1/3)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
Outputs
(*.f64 (pow.f64 1 1/3) z)
z
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) z))
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z)
(fma.f64 z (*.f64 (*.f64 y y) -1/2) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z)))
(fma.f64 (*.f64 z -1/2) (*.f64 y y) (fma.f64 (+.f64 (*.f64 1/3 (*.f64 z -1/24)) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (*.f64 (*.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (*.f64 z 1/18))) (pow.f64 y 4) z))
(fma.f64 (*.f64 z -1/2) (*.f64 y y) (fma.f64 (fma.f64 1/3 (*.f64 z -1/24) (fma.f64 (fma.f64 2/3 (*.f64 z (*.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z) (*.f64 z 1/18))) (pow.f64 y 4) z))
(fma.f64 (fma.f64 (fma.f64 (*.f64 z -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z) (fma.f64 z 1/18 (*.f64 z -1/72))) (pow.f64 y 4) (fma.f64 z (*.f64 (*.f64 y y) -1/2) z))
(fma.f64 (fma.f64 (fma.f64 (*.f64 z -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z) (*.f64 z 1/24)) (pow.f64 y 4) (fma.f64 z (*.f64 (*.f64 y y) -1/2) z))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3))))) (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (pow.f64 y 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z))))
(fma.f64 (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 z)) (-.f64 (*.f64 z -1/720) (fma.f64 -1/216 z (*.f64 -1/3 (*.f64 z -1/24))))) (*.f64 (*.f64 (*.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) -1/9)) (+.f64 (*.f64 1/3 (-.f64 (*.f64 z -1/720) (fma.f64 -1/216 z (*.f64 -1/3 (*.f64 z -1/24))))) (fma.f64 -1/6 (*.f64 (fma.f64 2/3 (*.f64 (*.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z)) (*.f64 -1/9 (*.f64 z -1/24))))) (pow.f64 y 6) (fma.f64 (*.f64 z -1/2) (*.f64 y y) (fma.f64 (+.f64 (*.f64 1/3 (*.f64 z -1/24)) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (*.f64 (*.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (*.f64 z 1/18))) (pow.f64 y 4) z)))
(fma.f64 (fma.f64 (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 z)) (-.f64 (*.f64 z 7/2160) (*.f64 z 1/72))) (*.f64 (cbrt.f64 (/.f64 1 z)) (*.f64 (*.f64 z -1/24) -1/9))) (cbrt.f64 z) (fma.f64 1/3 (-.f64 (*.f64 z 7/2160) (*.f64 z 1/72)) (fma.f64 (*.f64 -1/6 (cbrt.f64 z)) (fma.f64 2/3 (*.f64 z (*.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (*.f64 (*.f64 z -1/24) -1/9)))) (pow.f64 y 6) (fma.f64 (*.f64 z -1/2) (*.f64 y y) (fma.f64 (fma.f64 1/3 (*.f64 z -1/24) (fma.f64 (fma.f64 2/3 (*.f64 z (*.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z) (*.f64 z 1/18))) (pow.f64 y 4) z)))
(fma.f64 z (*.f64 (*.f64 y y) -1/2) (fma.f64 (fma.f64 1/3 (*.f64 z -23/2160) (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 z)) (+.f64 (*.f64 2/3 (*.f64 z -23/2160)) (*.f64 (*.f64 z -1/24) -1/9))) (cbrt.f64 z) (fma.f64 (*.f64 z -1/24) -1/9 (*.f64 (fma.f64 (*.f64 z -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (*.f64 -1/6 (cbrt.f64 z)))))) (pow.f64 y 6) (fma.f64 (fma.f64 (fma.f64 (*.f64 z -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z) (fma.f64 z 1/18 (*.f64 z -1/72))) (pow.f64 y 4) z)))
(fma.f64 z (*.f64 (*.f64 y y) -1/2) (fma.f64 (+.f64 (fma.f64 1/3 (*.f64 z -23/2160) (*.f64 (*.f64 z -1/24) -1/9)) (*.f64 (cbrt.f64 z) (+.f64 (*.f64 -1/6 (fma.f64 (*.f64 z -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z))))) (*.f64 (cbrt.f64 (/.f64 1 z)) (+.f64 (*.f64 2/3 (*.f64 z -23/2160)) (*.f64 (*.f64 z -1/24) -1/9)))))) (pow.f64 y 6) (fma.f64 (fma.f64 (fma.f64 (*.f64 z -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z) (*.f64 z 1/24)) (pow.f64 y 4) z)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(pow.f64 z 1/3)
(cbrt.f64 z)
(+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z))) (cbrt.f64 z))
(fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z)) (cbrt.f64 z))
(fma.f64 (cbrt.f64 z) (*.f64 -1/6 (*.f64 y y)) (cbrt.f64 z))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2)))))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (*.f64 (*.f64 z -1/24) (pow.f64 y 4))) (+.f64 (*.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z))) (cbrt.f64 z)))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (*.f64 (*.f64 (pow.f64 y 4) z) -1/24)) (fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z)) (cbrt.f64 z)))
(fma.f64 (*.f64 (pow.f64 y 4) (cbrt.f64 (/.f64 1 (*.f64 z z)))) (*.f64 z -1/72) (fma.f64 (cbrt.f64 z) (*.f64 -1/6 (*.f64 y y)) (cbrt.f64 z)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 6) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (*.f64 (-.f64 (*.f64 z -1/720) (fma.f64 -1/216 z (*.f64 -1/3 (*.f64 z -1/24)))) (pow.f64 y 6))) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (*.f64 (*.f64 z -1/24) (pow.f64 y 4))) (+.f64 (*.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z))) (cbrt.f64 z))))
(+.f64 (fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z)) (cbrt.f64 z)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 z z)))) (+.f64 (*.f64 (-.f64 (*.f64 z 7/2160) (*.f64 z 1/72)) (pow.f64 y 6)) (*.f64 (*.f64 (pow.f64 y 4) z) -1/24))))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (fma.f64 (*.f64 z -23/2160) (pow.f64 y 6) (*.f64 (*.f64 z -1/24) (pow.f64 y 4)))) (fma.f64 (cbrt.f64 z) (*.f64 -1/6 (*.f64 y y)) (cbrt.f64 z)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 z (cos.f64 y))
(*.f64 1 (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 z (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 (cbrt.f64 z) (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (*.f64 z (cos.f64 y)) 1/6)) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 z) (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))
(*.f64 z (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 1 (cbrt.f64 (*.f64 z (cos.f64 y))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 z (cos.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 2)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 1))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1/3))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))

eval104.0ms (1.2%)

Compiler

Compiled 6855 to 3187 computations (53.5% saved)

prune128.0ms (1.5%)

Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New3909399
Fresh4610
Picked011
Done055
Total39421415
Error
0b
Counts
415 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
✓28.3b
(fma.f64 (cos.f64 y) z (sin.f64 y))
0.2b
(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
31.1b
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
▶0.6b
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)) 3))
✓0.5b
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
0.5b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y)))))
0.5b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))))
0.2b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 3)))
▶0.1b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (-.f64 (+.f64 1 (cos.f64 y)) 1)))
✓0.1b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (log.f64 (exp.f64 (cos.f64 y)))))
✓0.0b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
10.5b
(+.f64 (+.f64 x (sin.f64 y)) z)
▶28.3b
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
✓25.5b
(+.f64 (sin.f64 y) x)
46.1b
(+.f64 z y)
✓19.9b
(+.f64 z x)
▶36.3b
(+.f64 y x)
▶37.5b
(*.f64 (cos.f64 y) z)
53.0b
(sin.f64 y)
47.7b
z
35.0b
x
Compiler

Compiled 381 to 268 computations (29.7% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 y)
✓0.1b
(*.f64 z (-.f64 (+.f64 1 (cos.f64 y)) 1))
✓0.3b
(-.f64 (+.f64 1 (cos.f64 y)) 1)
✓0.4b
(+.f64 1 (cos.f64 y))
Compiler

Compiled 46 to 24 computations (47.8% saved)

series2.0ms (0%)

Counts
3 → 40
Calls

12 calls:

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

rewrite89.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1064×associate-*r/
830×*-commutative
826×associate-*l/
696×distribute-lft-in
654×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01051
121127
2283327
Stop Event
1×node limit
Counts
3 → 221
Calls
Call 1
Inputs
(+.f64 1 (cos.f64 y))
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(*.f64 z (-.f64 (+.f64 1 (cos.f64 y)) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)) (-.f64 (/.f64 1 (+.f64 (cos.f64 y) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))) (-.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))) (/.f64 1 (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))) 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simplify138.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1048×+-commutative
1030×associate-/l*
724×associate-*r*
650×distribute-lft-in
640×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055610111
115659403
279089403
Stop Event
1×node limit
Counts
261 → 361
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(-.f64 (+.f64 1 (cos.f64 y)) 0)
(-.f64 (+.f64 (cos.f64 y) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)) (-.f64 (/.f64 1 (+.f64 (cos.f64 y) 2)) 1))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))) (-.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))) 1))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))) (/.f64 1 (+.f64 (cos.f64 y) 2)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(*.f64 1 (+.f64 1 (cos.f64 y)))
(*.f64 (+.f64 1 (cos.f64 y)) 1)
(*.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))))
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))))
(*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (/.f64 1 (-.f64 1 (cos.f64 y))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) (*.f64 (sin.f64 y) (sin.f64 y)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))) (+.f64 1 (pow.f64 (cos.f64 y) 3)))
(*.f64 (/.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))) (+.f64 1 (cos.f64 y)))
(*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 1) (-.f64 (pow.f64 (cos.f64 y) 2) 1)) (+.f64 1 (cos.f64 y)))
(*.f64 (/.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (-.f64 1 (pow.f64 (cos.f64 y) 3))) (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (-.f64 1 (*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) (+.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (cos.f64 y)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 3))) (+.f64 1 (*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (-.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1))))
(*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 1) (-.f64 (pow.f64 (cos.f64 y) 3) 1)) (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (-.f64 1 (cos.f64 y)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))) 1))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)))))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (sin.f64 y))) (/.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) (sin.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)))) (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sin.f64 y))) (cbrt.f64 (*.f64 (sin.f64 y) (sin.f64 y)))) (/.f64 (-.f64 1 (cos.f64 y)) (cbrt.f64 (*.f64 (sin.f64 y) (sin.f64 y)))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cos.f64 y) 3))) (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))) (-.f64 1 (pow.f64 (cos.f64 y) 3))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 1) (+.f64 (cos.f64 y) -1))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2))) (*.f64 (-.f64 1 (cos.f64 y)) (+.f64 1 (pow.f64 (cos.f64 y) 2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (cos.f64 y) 3) 3)) (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (-.f64 (pow.f64 (cos.f64 y) 3) 1)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 y) 2) 3)) (*.f64 (-.f64 1 (cos.f64 y)) (+.f64 1 (*.f64 (pow.f64 (cos.f64 y) 2) (+.f64 1 (pow.f64 (cos.f64 y) 2))))))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 (-.f64 1 (cos.f64 y))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (cos.f64 y) 3))) (+.f64 -1 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))))
(/.f64 (sin.f64 y) (/.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1)) (+.f64 (cos.f64 y) -1))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (*.f64 (sin.f64 y) (sin.f64 y)))) (sqrt.f64 (-.f64 1 (cos.f64 y))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (sin.f64 y)))) (cbrt.f64 (-.f64 1 (cos.f64 y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 1) 1) (+.f64 (cos.f64 y) -1))
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) 1) (neg.f64 (-.f64 1 (cos.f64 y))))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 (pow.f64 (cos.f64 y) 3))) 1) (+.f64 -1 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (sqrt.f64 (+.f64 1 (cos.f64 y)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) (sin.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y)))) (sqrt.f64 (-.f64 1 (cos.f64 y))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2)) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sin.f64 y))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 y))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2))) (/.f64 1 (-.f64 1 (cos.f64 y)))) (+.f64 1 (pow.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 y) 2) 3)) (/.f64 1 (-.f64 1 (cos.f64 y)))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 y) 2) (+.f64 1 (pow.f64 (cos.f64 y) 2)))))
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(/.f64 (*.f64 z (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) (+.f64 (cos.f64 y) 2))
(/.f64 (*.f64 z (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 z (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (-.f64 1 (*.f64 (+.f64 1 (cos.f64 y)) -1))))
(/.f64 (*.f64 1 (*.f64 z (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)))) (+.f64 (cos.f64 y) 2))
(/.f64 (*.f64 1 (*.f64 z (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 z (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1)))) (+.f64 (-.f64 1 (cos.f64 y)) 1))
(/.f64 (*.f64 z (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))) (+.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (-.f64 (+.f64 (cos.f64 y) -1) 1))))
(/.f64 (*.f64 z (*.f64 (+.f64 (cos.f64 y) 2) (neg.f64 (cos.f64 y)))) (neg.f64 (+.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 z (+.f64 (neg.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) 1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(/.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)))) (sqrt.f64 (+.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)))) (cbrt.f64 (+.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1))) z) (+.f64 (-.f64 1 (cos.f64 y)) 1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) z) (+.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (-.f64 (+.f64 (cos.f64 y) -1) 1))))
(/.f64 (*.f64 (*.f64 (+.f64 (cos.f64 y) 2) (neg.f64 (cos.f64 y))) z) (neg.f64 (+.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) 1) z) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(/.f64 (*.f64 (*.f64 z (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) 1) (+.f64 (cos.f64 y) 2))
(/.f64 (*.f64 (*.f64 z (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) 1) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) (*.f64 z (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (+.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (*.f64 z (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(/.f64 (/.f64 (*.f64 z (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) 1) (+.f64 (cos.f64 y) 2))
(/.f64 (/.f64 (*.f64 z (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) (sqrt.f64 (+.f64 (cos.f64 y) 2))) (sqrt.f64 (+.f64 (cos.f64 y) 2)))
(/.f64 (/.f64 (*.f64 z (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) 2)) (cbrt.f64 (+.f64 (cos.f64 y) 2)))) (cbrt.f64 (+.f64 (cos.f64 y) 2)))
(/.f64 (/.f64 (*.f64 z (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) 1) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))
(/.f64 (/.f64 (*.f64 z (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(/.f64 (/.f64 (*.f64 z (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
Outputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 2 (*.f64 -1/2 (*.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 2)
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 2 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 2 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) (fma.f64 -1/720 (pow.f64 y 6) 2))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (*.f64 -1/2 (*.f64 y y)) 1)
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) 1)
(+.f64 (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) 1))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) (fma.f64 -1/720 (pow.f64 y 6) 1))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) z)
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) z) z) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 1/24 (*.f64 (pow.f64 y 4) z) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 -1/720 (*.f64 (pow.f64 y 6) z) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 -1/720 (*.f64 (pow.f64 y 6) z) (fma.f64 1/24 (*.f64 (pow.f64 y 4) z) z)))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(-.f64 (+.f64 1 (cos.f64 y)) 0)
(+.f64 1 (cos.f64 y))
(-.f64 (+.f64 (cos.f64 y) 2) 1)
(+.f64 1 (cos.f64 y))
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)) (-.f64 (/.f64 1 (+.f64 (cos.f64 y) 2)) 1))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (/.f64 1 (+.f64 2 (cos.f64 y)))) 1)
(+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (/.f64 -1 (+.f64 2 (cos.f64 y)))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))) (-.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))) 1))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (/.f64 1 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) 1)
(+.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))) (/.f64 1 (+.f64 (cos.f64 y) 2)))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (/.f64 1 (+.f64 2 (cos.f64 y)))) 1)
(+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (/.f64 -1 (+.f64 2 (cos.f64 y)))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (/.f64 1 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) 1)
(+.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))))
(*.f64 1 (+.f64 1 (cos.f64 y)))
(+.f64 1 (cos.f64 y))
(*.f64 (+.f64 1 (cos.f64 y)) 1)
(+.f64 1 (cos.f64 y))
(*.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))))
(+.f64 1 (cos.f64 y))
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2))
(+.f64 1 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))))
(+.f64 1 (cos.f64 y))
(*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (/.f64 1 (-.f64 1 (cos.f64 y))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) (*.f64 (sin.f64 y) (sin.f64 y)))
(/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2)))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1) (+.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) (*.f64 (sin.f64 y) (sin.f64 y)))
(/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))) (+.f64 1 (pow.f64 (cos.f64 y) 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1) (+.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(*.f64 (/.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))) (+.f64 1 (cos.f64 y)))
(+.f64 1 (cos.f64 y))
(*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 1) (-.f64 (pow.f64 (cos.f64 y) 2) 1)) (+.f64 1 (cos.f64 y)))
(+.f64 1 (cos.f64 y))
(*.f64 (/.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (-.f64 1 (pow.f64 (cos.f64 y) 3))) (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(*.f64 (/.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (-.f64 1 (pow.f64 (cos.f64 y) 3))) (+.f64 1 (+.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))))
(*.f64 (*.f64 (/.f64 (sin.f64 y) (-.f64 1 (pow.f64 (cos.f64 y) 3))) (sin.f64 y)) (+.f64 1 (+.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (-.f64 1 (*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) (+.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (cos.f64 y)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (-.f64 1 (*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) (fma.f64 (sin.f64 y) (sin.f64 y) (cos.f64 y)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 3))) (+.f64 1 (*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (-.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 3))) (+.f64 1 (*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (-.f64 (pow.f64 (cos.f64 y) 2) (+.f64 1 (cos.f64 y))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (fma.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (-.f64 (pow.f64 (cos.f64 y) 2) (+.f64 1 (cos.f64 y))) 1)) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 1) (-.f64 (pow.f64 (cos.f64 y) 3) 1)) (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(*.f64 (+.f64 1 (+.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))) (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1) (+.f64 (pow.f64 (cos.f64 y) 3) -1)))
(*.f64 (+.f64 1 (+.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))) (/.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (+.f64 (pow.f64 (cos.f64 y) 3) -1)))
(/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 y))))
(+.f64 1 (cos.f64 y))
(/.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (-.f64 1 (cos.f64 y)))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) (*.f64 (sin.f64 y) (sin.f64 y)))
(/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1) (+.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))) 1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1) (+.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (+.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))))
(*.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 3/2)) (/.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 3/2)) (+.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2))))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (sin.f64 y))) (/.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) (sin.f64 y)))))
(*.f64 (/.f64 (fabs.f64 (sin.f64 y)) (-.f64 1 (cos.f64 y))) (fabs.f64 (sin.f64 y)))
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(/.f64 (*.f64 z (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (-.f64 1 (*.f64 (+.f64 1 (cos.f64 y)) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (/.f64 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) z))
(/.f64 (*.f64 z (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)) (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(/.f64 (*.f64 1 (*.f64 z (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)))) (+.f64 (cos.f64 y) 2))
(*.f64 (cos.f64 y) z)
(/.f64 (*.f64 1 (*.f64 z (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (/.f64 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) z))
(/.f64 (*.f64 z (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)) (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(/.f64 (*.f64 z (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1)))) (+.f64 (-.f64 1 (cos.f64 y)) 1))
(/.f64 z (/.f64 (-.f64 1 (-.f64 (cos.f64 y) 1)) (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1)))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (-.f64 1 (cos.f64 y)) (+.f64 (cos.f64 y) -1))) (-.f64 2 (cos.f64 y))) z)
(/.f64 (*.f64 z (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))) (+.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (-.f64 (+.f64 (cos.f64 y) -1) 1))))
(/.f64 (*.f64 z (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))) (+.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -2))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (fma.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -2) 1)) z)
(/.f64 (*.f64 z (*.f64 (+.f64 (cos.f64 y) 2) (neg.f64 (cos.f64 y)))) (neg.f64 (+.f64 (cos.f64 y) 2)))
(/.f64 z (/.f64 (+.f64 (neg.f64 (cos.f64 y)) -2) (*.f64 (+.f64 2 (cos.f64 y)) (neg.f64 (cos.f64 y)))))
(/.f64 z (/.f64 -1 (neg.f64 (cos.f64 y))))
(/.f64 (*.f64 z (+.f64 (neg.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) 1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(/.f64 z (/.f64 (neg.f64 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (+.f64 1 (neg.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))))
(/.f64 z (/.f64 (-.f64 (-.f64 -2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))))
(/.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)))) (sqrt.f64 (+.f64 (cos.f64 y) 2)))
(/.f64 (sqrt.f64 (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))) (/.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) (*.f64 z (sqrt.f64 (cos.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))) (sqrt.f64 (+.f64 2 (cos.f64 y)))) (*.f64 z (sqrt.f64 (cos.f64 y))))
(/.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)) (/.f64 (sqrt.f64 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (*.f64 z (sqrt.f64 (cos.f64 y)))))
(*.f64 (/.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)))
(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)))) (cbrt.f64 (+.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (/.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) (cbrt.f64 (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))))
(*.f64 (/.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (+.f64 2 (cos.f64 y)))) (cbrt.f64 (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))
(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(/.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (/.f64 (cbrt.f64 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1))))
(*.f64 (/.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)))
(/.f64 (*.f64 (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1))) z) (+.f64 (-.f64 1 (cos.f64 y)) 1))
(/.f64 z (/.f64 (-.f64 1 (-.f64 (cos.f64 y) 1)) (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1)))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (-.f64 1 (cos.f64 y)) (+.f64 (cos.f64 y) -1))) (-.f64 2 (cos.f64 y))) z)
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) z) (+.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (-.f64 (+.f64 (cos.f64 y) -1) 1))))
(/.f64 (*.f64 z (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))) (+.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -2))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (fma.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -2) 1)) z)
(/.f64 (*.f64 (*.f64 (+.f64 (cos.f64 y) 2) (neg.f64 (cos.f64 y))) z) (neg.f64 (+.f64 (cos.f64 y) 2)))
(/.f64 z (/.f64 (+.f64 (neg.f64 (cos.f64 y)) -2) (*.f64 (+.f64 2 (cos.f64 y)) (neg.f64 (cos.f64 y)))))
(/.f64 z (/.f64 -1 (neg.f64 (cos.f64 y))))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) 1) z) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(/.f64 z (/.f64 (neg.f64 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (+.f64 1 (neg.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))))
(/.f64 z (/.f64 (-.f64 (-.f64 -2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))))
(/.f64 (*.f64 (*.f64 z (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) 1) (+.f64 (cos.f64 y) 2))
(*.f64 (cos.f64 y) z)
(/.f64 (*.f64 (*.f64 z (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) 1) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (/.f64 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) z))
(/.f64 (*.f64 z (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)) (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) (*.f64 z (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (+.f64 (cos.f64 y) 2)))
(/.f64 (sqrt.f64 (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))) (/.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) (*.f64 z (sqrt.f64 (cos.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))) (sqrt.f64 (+.f64 2 (cos.f64 y)))) (*.f64 z (sqrt.f64 (cos.f64 y))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (*.f64 z (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)) (/.f64 (sqrt.f64 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (*.f64 z (sqrt.f64 (cos.f64 y)))))
(*.f64 (/.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)))
(/.f64 (/.f64 (*.f64 z (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) 1) (+.f64 (cos.f64 y) 2))
(*.f64 (cos.f64 y) z)
(/.f64 (/.f64 (*.f64 z (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) (sqrt.f64 (+.f64 (cos.f64 y) 2))) (sqrt.f64 (+.f64 (cos.f64 y) 2)))
(*.f64 (cos.f64 y) z)
(/.f64 (/.f64 (*.f64 z (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) 2)) (cbrt.f64 (+.f64 (cos.f64 y) 2)))) (cbrt.f64 (+.f64 (cos.f64 y) 2)))
(*.f64 (cos.f64 y) z)
(/.f64 (/.f64 (*.f64 z (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) 1) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (/.f64 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) z))
(/.f64 (*.f64 z (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)) (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(/.f64 (/.f64 (*.f64 z (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (/.f64 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) z))
(/.f64 (*.f64 z (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)) (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(/.f64 (/.f64 (*.f64 z (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (/.f64 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) z))
(/.f64 (*.f64 z (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)) (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(*.f64 (cos.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(fabs.f64 (*.f64 (cos.f64 y) z))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)

localize3.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite109.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1282×add-sqr-sqrt
1272×*-un-lft-identity
1170×add-cube-cbrt
1152×add-cbrt-cube
1138×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
113511
2158311
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 (cos.f64 y) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))))))

simplify55.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1238×fma-def
914×log-prod
884×distribute-lft-out
766×*-commutative
662×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
052341
1132333
2436325
32085319
45558319
Stop Event
1×node limit
Counts
23 → 26
Calls
Call 1
Inputs
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
Outputs
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 1/24 (*.f64 z (pow.f64 y 4))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(*.f64 z (+.f64 (*.f64 -1/2 (*.f64 y y)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(*.f64 z (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (*.f64 1/24 (*.f64 z (pow.f64 y 4))))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z)))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/720 (pow.f64 y 6))) (*.f64 z (fma.f64 1/24 (pow.f64 y 4) 1)))
(*.f64 z (+.f64 (*.f64 -1/2 (*.f64 y y)) (fma.f64 1/24 (pow.f64 y 4) (fma.f64 -1/720 (pow.f64 y 6) 1))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(*.f64 z (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 z (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 z (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(*.f64 z (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(*.f64 z (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts
1 → 7
Calls

6 calls:

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

rewrite74.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1990×add-sqr-sqrt
1974×*-un-lft-identity
1832×add-cube-cbrt
1812×add-cbrt-cube
198×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
118717
2242417
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) z (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (cos.f64 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 y) z) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 y) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y))))))

simplify68.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1516×associate-*r*
1358×associate-*l*
792×associate-+r+
552×associate-+l+
432×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01031384
12541334
29661334
354691334
Stop Event
1×node limit
Counts
44 → 56
Calls
Call 1
Inputs
z
(+.f64 y z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z)))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)
(*.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y)))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))
(/.f64 1 (/.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 1 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 1 (sin.f64 y) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y))
Outputs
z
(+.f64 y z)
(+.f64 z y)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z y))
(+.f64 z (fma.f64 -1/2 (*.f64 z (*.f64 y y)) y))
(+.f64 z (fma.f64 z (*.f64 y (*.f64 y -1/2)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z)))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z y)))
(fma.f64 (*.f64 y y) (*.f64 z -1/2) (fma.f64 -1/6 (pow.f64 y 3) (+.f64 z y)))
(fma.f64 z (*.f64 y (*.f64 y -1/2)) (fma.f64 -1/6 (pow.f64 y 3) (+.f64 z y)))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) 1)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)))
(*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 1 (/.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 3)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3) 1/3)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 2))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 1))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 1 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 1 (sin.f64 y) (*.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
✓0.3b
(cbrt.f64 (cos.f64 y))
✓0.6b
(cbrt.f64 z)
✓0.7b
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)) 3)
Compiler

Compiled 47 to 15 computations (68.1% saved)

series10.0ms (0.1%)

Counts
4 → 36
Calls

18 calls:

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

rewrite74.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1920×add-sqr-sqrt
1890×*-un-lft-identity
1774×add-cube-cbrt
1752×add-cbrt-cube
202×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01150
122240
2252840
Stop Event
1×node limit
Counts
4 → 86
Calls
Call 1
Inputs
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)) 3)
(cbrt.f64 z)
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (cos.f64 y))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) 1) (cbrt.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) 3) (cbrt.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 1/6) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 z) 1/3) (pow.f64 (sqrt.f64 z) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 z) 2) 1/3) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 z 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 z) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 z)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) z) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))))))

simplify84.0ms (1%)

Algorithm
1×egg-herbie
Rules
876×distribute-lft-out
824×associate-/r*
688×associate-+r+
684×associate-*r*
602×associate-+l+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02542062
16461964
229301898
361351882
Stop Event
1×node limit
Counts
122 → 130
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) z))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z)))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3))))) (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (pow.f64 y 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z))))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 (*.f64 -23/6480 (pow.f64 y 6)) (+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 z 1/3)
(+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2)))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 6) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1)
(*.f64 (cos.f64 y) z)
(*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)))
(*.f64 z (cos.f64 y))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))
(*.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 1 (*.f64 (cos.f64 y) z))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (cos.f64 y))) (cbrt.f64 z))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) 1) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) 3) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) 1)
(*.f64 (cbrt.f64 z) 1)
(*.f64 1 (cbrt.f64 z))
(*.f64 (pow.f64 z 1/6) (pow.f64 z 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 z))
(*.f64 (pow.f64 (sqrt.f64 z) 1/3) (pow.f64 (sqrt.f64 z) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) 2) 1/3) (cbrt.f64 (cbrt.f64 z)))
(pow.f64 z 1/3)
(pow.f64 (cbrt.f64 z) 1)
(pow.f64 (pow.f64 z 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 z) 2))
(log.f64 (exp.f64 (cbrt.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 z))))
(expm1.f64 (log1p.f64 (cbrt.f64 z)))
(exp.f64 (log.f64 (cbrt.f64 z)))
(exp.f64 (*.f64 (log.f64 z) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 z)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 1)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))))
(cbrt.f64 (*.f64 (cos.f64 y) z))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
Outputs
(*.f64 (pow.f64 1 1/3) z)
z
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) z))
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z)
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(cbrt.f64 z)
(sqrt.f64 (pow.f64 (cbrt.f64 z) 2))
(cbrt.f64 z)
(log.f64 (exp.f64 (cbrt.f64 z)))
(cbrt.f64 z)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 z))))
(cbrt.f64 z)
(expm1.f64 (log1p.f64 (cbrt.f64 z)))
(cbrt.f64 z)
(exp.f64 (log.f64 (cbrt.f64 z)))
(cbrt.f64 z)
(exp.f64 (*.f64 (log.f64 z) 1/3))
(cbrt.f64 z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) 1))
(cbrt.f64 z)
(log1p.f64 (expm1.f64 (cbrt.f64 z)))
(cbrt.f64 z)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(cbrt.f64 (cos.f64 y))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (cos.f64 y))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y)))))
(cbrt.f64 (cos.f64 y))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3))
(cbrt.f64 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1))
(cbrt.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(cbrt.f64 (*.f64 (cos.f64 y) z))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 1))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (*.f64 z (cos.f64 y)))

eval274.0ms (3.2%)

Compiler

Compiled 15179 to 7971 computations (47.5% saved)

prune152.0ms (1.8%)

Pruning

20 alts after pruning (13 fresh and 7 done)

PrunedKeptTotal
New6827689
Fresh4610
Picked101
Done3710
Total69020710
Error
0b
Counts
710 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
37.9b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
0.2b
(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
▶31.1b
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
▶0.1b
(+.f64 (+.f64 x (sin.f64 y)) (/.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) (/.f64 (+.f64 (cos.f64 y) 2) z)))
0.1b
(+.f64 (+.f64 x (sin.f64 y)) (/.f64 z (/.f64 1 (cos.f64 y))))
✓0.1b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (-.f64 (+.f64 1 (cos.f64 y)) 1)))
✓0.0b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
✓28.3b
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
✓25.5b
(+.f64 (sin.f64 y) x)
38.6b
(+.f64 z (sin.f64 y))
▶46.1b
(+.f64 z y)
✓19.9b
(+.f64 z x)
✓36.3b
(+.f64 y x)
37.6b
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 3) z)
49.2b
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z)
▶37.5b
(*.f64 (log.f64 (exp.f64 (cos.f64 y))) z)
✓37.5b
(*.f64 (cos.f64 y) z)
▶53.0b
(sin.f64 y)
47.7b
z
35.0b
x
Compiler

Compiled 314 to 229 computations (27.1% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(+.f64 (cos.f64 y) 2)
✓0.2b
(/.f64 (+.f64 (cos.f64 y) 2) z)
✓0.2b
(/.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) (/.f64 (+.f64 (cos.f64 y) 2) z))
✓0.2b
(*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))
Compiler

Compiled 65 to 30 computations (53.8% saved)

series6.0ms (0.1%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
y
@0
(/.f64 (+.f64 (cos.f64 y) 2) z)
0.0ms
y
@inf
(*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))
0.0ms
y
@-inf
(/.f64 (+.f64 (cos.f64 y) 2) z)
0.0ms
y
@inf
(/.f64 (+.f64 (cos.f64 y) 2) z)
0.0ms
z
@0
(/.f64 (+.f64 (cos.f64 y) 2) z)

rewrite136.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
1624×associate-/r/
1498×associate-/l/
660×distribute-rgt-in
626×distribute-lft-in
256×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01192
124692
2356992
Stop Event
1×node limit
Counts
4 → 238
Calls
Call 1
Inputs
(*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))
(/.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) (/.f64 (+.f64 (cos.f64 y) 2) z))
(/.f64 (+.f64 (cos.f64 y) 2) z)
(+.f64 (cos.f64 y) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 1) (*.f64 (*.f64 (cos.f64 y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 y) 2) 1) (*.f64 (pow.f64 (cos.f64 y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (+.f64 (*.f64 1/2 (cos.f64 (+.f64 y y))) (*.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (cos.f64 y) 2) 1/2) (*.f64 1/2 (cos.f64 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (pow.f64 (cos.f64 y) 2) 1)) (*.f64 1 (*.f64 (*.f64 (cos.f64 y) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 1) 1) (*.f64 (*.f64 (*.f64 (cos.f64 y) 2) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (cos.f64 y) -4)) (+.f64 (cos.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 y) (+.f64 8 (pow.f64 (cos.f64 y) 3))) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -4) (cos.f64 y)) (+.f64 (cos.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (*.f64 (*.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2))) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (*.f64 (*.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2))) (*.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) (pow.f64 (*.f64 (cos.f64 y) 2) 3)) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (-.f64 (*.f64 (*.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) (pow.f64 (*.f64 (cos.f64 y) 2) 3)) (*.f64 1 (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (-.f64 (*.f64 (*.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 (cos.f64 y) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 y) 2) 3) (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) (cos.f64 y) (*.f64 (cos.f64 y) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z (+.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (*.f64 (/.f64 z (+.f64 (cos.f64 y) 2)) (*.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z (+.f64 (cos.f64 y) 2)) (*.f64 (cos.f64 y) 2)) (*.f64 (/.f64 z (+.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z (+.f64 (cos.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 2) 1)) (*.f64 (/.f64 z (+.f64 (cos.f64 y) 2)) (*.f64 (*.f64 (cos.f64 y) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) z) (cos.f64 y)) (*.f64 (*.f64 (/.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) z) 2) (*.f64 (*.f64 (/.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (/.f64 z (+.f64 (cos.f64 y) 2))) (*.f64 (*.f64 (cos.f64 y) 2) (/.f64 z (+.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 y) 2) (/.f64 z (+.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (cos.f64 y) 2) (/.f64 z (+.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 1) (/.f64 z (+.f64 (cos.f64 y) 2))) (*.f64 (*.f64 (*.f64 (cos.f64 y) 2) 1) (/.f64 z (+.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) (*.f64 (/.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) z)) (*.f64 2 (*.f64 (/.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 (/.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) z)) (*.f64 (cos.f64 y) (*.f64 (/.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 y) (/.f64 (-.f64 -2 (cos.f64 y)) (*.f64 (-.f64 -2 (cos.f64 y)) z))))) 1)))) 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#<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 y) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 3 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) 2)))))

simplify112.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1466×associate-*r*
1410×associate-*l*
1370×associate-/l*
928×associate-/r*
846×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06299694
118709458
Stop Event
1×node limit
Counts
310 → 377
Calls
Call 1
Inputs
3
(+.f64 3 (*.f64 -2 (pow.f64 y 2)))
(+.f64 3 (+.f64 (*.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4))))
(+.f64 (*.f64 -17/360 (pow.f64 y 6)) (+.f64 3 (+.f64 (*.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4)))))
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(/.f64 3 z)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) z)) (*.f64 3 (/.f64 1 z)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 y 4) z)) (*.f64 3 (/.f64 1 z))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 y 4) z)) (*.f64 3 (/.f64 1 z)))))
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
3
(+.f64 3 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 3 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 3 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(+.f64 2 (cos.f64 y))
(+.f64 2 (cos.f64 y))
(+.f64 2 (cos.f64 y))
(+.f64 2 (cos.f64 y))
(+.f64 2 (cos.f64 y))
(+.f64 2 (cos.f64 y))
(+.f64 2 (cos.f64 y))
(+.f64 2 (cos.f64 y))
(+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2))
(+.f64 (*.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2))
(+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 1) (*.f64 (*.f64 (cos.f64 y) 2) 1))
(+.f64 (*.f64 (*.f64 (cos.f64 y) 2) 1) (*.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 1/2 (+.f64 (*.f64 1/2 (cos.f64 (+.f64 y y))) (*.f64 (cos.f64 y) 2)))
(+.f64 (+.f64 (*.f64 (cos.f64 y) 2) 1/2) (*.f64 1/2 (cos.f64 (+.f64 y y))))
(+.f64 (*.f64 1 (*.f64 (pow.f64 (cos.f64 y) 2) 1)) (*.f64 1 (*.f64 (*.f64 (cos.f64 y) 2) 1)))
(+.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 1) 1) (*.f64 (*.f64 (*.f64 (cos.f64 y) 2) 1) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)))) 1)
(/.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) 1)
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (cos.f64 y) -4)) (+.f64 (cos.f64 y) -2))
(/.f64 (*.f64 (cos.f64 y) (+.f64 8 (pow.f64 (cos.f64 y) 3))) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 (cos.f64 y) 2))))
(/.f64 (*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -4) (cos.f64 y)) (+.f64 (cos.f64 y) -2))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 (cos.f64 y) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (*.f64 (*.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2))) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (*.f64 (*.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2))) (*.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) (pow.f64 (*.f64 (cos.f64 y) 2) 3)) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (-.f64 (*.f64 (*.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) (pow.f64 (*.f64 (cos.f64 y) 2) 3)) (*.f64 1 (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (-.f64 (*.f64 (*.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2))))))
(pow.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (+.f64 (cos.f64 y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 (cos.f64 y) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 y) 2) 3) (pow.f64 (cos.f64 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))))
(fma.f64 (cos.f64 y) (cos.f64 y) (*.f64 (cos.f64 y) 2))
(+.f64 (*.f64 (/.f64 z (+.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (*.f64 (/.f64 z (+.f64 (cos.f64 y) 2)) (*.f64 (cos.f64 y) 2)))
(+.f64 (*.f64 (/.f64 z (+.f64 (cos.f64 y) 2)) (*.f64 (cos.f64 y) 2)) (*.f64 (/.f64 z (+.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)))
(+.f64 (*.f64 (/.f64 z (+.f64 (cos.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 2) 1)) (*.f64 (/.f64 z (+.f64 (cos.f64 y) 2)) (*.f64 (*.f64 (cos.f64 y) 2) 1)))
(+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) z) (cos.f64 y)) (*.f64 (*.f64 (/.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) z) 2))
(+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) z) 2) (*.f64 (*.f64 (/.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) z) (cos.f64 y)))
(+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (/.f64 z (+.f64 (cos.f64 y) 2))) (*.f64 (*.f64 (cos.f64 y) 2) (/.f64 z (+.f64 (cos.f64 y) 2))))
(+.f64 (*.f64 (*.f64 (cos.f64 y) 2) (/.f64 z (+.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (cos.f64 y) 2) (/.f64 z (+.f64 (cos.f64 y) 2))))
(+.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 1) (/.f64 z (+.f64 (cos.f64 y) 2))) (*.f64 (*.f64 (*.f64 (cos.f64 y) 2) 1) (/.f64 z (+.f64 (cos.f64 y) 2))))
(+.f64 (*.f64 (cos.f64 y) (*.f64 (/.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) z)) (*.f64 2 (*.f64 (/.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) z)))
(+.f64 (*.f64 2 (*.f64 (/.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) z)) (*.f64 (cos.f64 y) (*.f64 (/.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) z)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 y) (/.f64 (-.f64 -2 (cos.f64 y)) (*.f64 (-.f64 -2 (cos.f64 y)) z))))) 1)
(*.f64 (cos.f64 y) (*.f64 (+.f64 (cos.f64 y) 2) (/.f64 z (+.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) (/.f64 z (+.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 (cos.f64 y) 2) (*.f64 (/.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) z))
(*.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) (/.f64 z (+.f64 (cos.f64 y) 2)))
(*.f64 z (*.f64 (/.f64 (+.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) 2)) (cos.f64 y)))
(*.f64 (/.f64 (cos.f64 y) (/.f64 (-.f64 -2 (cos.f64 y)) (*.f64 (-.f64 -2 (cos.f64 y)) z))) 1)
(*.f64 1 (/.f64 (cos.f64 y) (/.f64 (-.f64 -2 (cos.f64 y)) (*.f64 (-.f64 -2 (cos.f64 y)) z))))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 y) (/.f64 (-.f64 -2 (cos.f64 y)) (*.f64 (-.f64 -2 (cos.f64 y)) z)))) (sqrt.f64 (/.f64 (cos.f64 y) (/.f64 (-.f64 -2 (cos.f64 y)) (*.f64 (-.f64 -2 (cos.f64 y)) z)))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) (/.f64 z (+.f64 (cos.f64 y) 2))))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 y) (/.f64 (-.f64 -2 (cos.f64 y)) (*.f64 (-.f64 -2 (cos.f64 y)) z)))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 y) (/.f64 (-.f64 -2 (cos.f64 y)) (*.f64 (-.f64 -2 (cos.f64 y)) z)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 y) (/.f64 (-.f64 -2 (cos.f64 y)) (*.f64 (-.f64 -2 (cos.f64 y)) z)))) 2) (cbrt.f64 (/.f64 (cos.f64 y) (/.f64 (-.f64 -2 (cos.f64 y)) (*.f64 (-.f64 -2 (cos.f64 y)) z)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) 2) (*.f64 (cbrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) (/.f64 z (+.f64 (cos.f64 y) 2))))
(*.f64 (*.f64 (/.f64 (+.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) 2)) (cos.f64 y)) z)
(*.f64 (/.f64 z (+.f64 (cos.f64 y) 2)) (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)))
(*.f64 (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y))) (*.f64 -1 (/.f64 z (+.f64 (cos.f64 y) 2))))
(*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) 2)) (cos.f64 y)) 1) z)
(*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) 2)) (cos.f64 y)) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) 2)) (cos.f64 y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (*.f64 (+.f64 (cos.f64 y) 2) (/.f64 z (+.f64 (cos.f64 y) 2))) (cos.f64 y))
(*.f64 (/.f64 1 (+.f64 (cos.f64 y) 2)) (*.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) z))
(*.f64 (*.f64 1 (sqrt.f64 (/.f64 z (+.f64 (cos.f64 y) 2)))) (*.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) (sqrt.f64 (/.f64 z (+.f64 (cos.f64 y) 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 y) 2) z)) 2)) (*.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) (cbrt.f64 (/.f64 z (+.f64 (cos.f64 y) 2)))))
(*.f64 (/.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) (sqrt.f64 (+.f64 (cos.f64 y) 2))) (/.f64 z (sqrt.f64 (+.f64 (cos.f64 y) 2))))
(*.f64 (/.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 2)) 2)) (/.f64 z (cbrt.f64 (+.f64 (cos.f64 y) 2))))
(*.f64 (*.f64 (+.f64 (cos.f64 y) 2) (sqrt.f64 (/.f64 z (+.f64 (cos.f64 y) 2)))) (/.f64 (cos.f64 y) (sqrt.f64 (/.f64 (+.f64 (cos.f64 y) 2) z))))
(*.f64 (/.f64 (+.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) 2)) (*.f64 (/.f64 (cos.f64 y) 1) z))
(*.f64 (*.f64 (/.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) z) (+.f64 (cos.f64 y) 2))
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(-.f64 (+.f64 2 (exp.f64 (log1p.f64 (cos.f64 y)))) 1)
(*.f64 (+.f64 (cos.f64 y) 2) 1)
(*.f64 1 (+.f64 (cos.f64 y) 2))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 y) 2)) (sqrt.f64 (+.f64 (cos.f64 y) 2)))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 y) 2)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 2)) 2) (cbrt.f64 (+.f64 (cos.f64 y) 2)))
(*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -4) (/.f64 1 (+.f64 (cos.f64 y) -2)))
(*.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 (cos.f64 y) 2)))))
(*.f64 (/.f64 1 (+.f64 (cos.f64 y) -2)) (fma.f64 (cos.f64 y) (cos.f64 y) -4))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 (cos.f64 y) 2)))) (+.f64 8 (pow.f64 (cos.f64 y) 3)))
(*.f64 (/.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -4) (fma.f64 (cos.f64 y) (cos.f64 y) -4)) (+.f64 (cos.f64 y) 2))
(*.f64 (/.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -4) (-.f64 (pow.f64 (cos.f64 y) 3) 8)) (+.f64 (pow.f64 (cos.f64 y) 2) (+.f64 4 (*.f64 (cos.f64 y) 2))))
(*.f64 (/.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (*.f64 (-.f64 4 (*.f64 (cos.f64 y) 2)) (-.f64 4 (*.f64 (cos.f64 y) 2))))) (+.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -4) (*.f64 (cos.f64 y) 2)))
(*.f64 (/.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) (pow.f64 (-.f64 4 (*.f64 (cos.f64 y) 2)) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (-.f64 (*.f64 (-.f64 4 (*.f64 (cos.f64 y) 2)) (-.f64 4 (*.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 (cos.f64 y) 2))))))
(/.f64 (+.f64 (cos.f64 y) 2) 1)
(/.f64 1 (/.f64 1 (+.f64 (cos.f64 y) 2)))
(/.f64 1 (/.f64 (+.f64 (cos.f64 y) -2) (fma.f64 (cos.f64 y) (cos.f64 y) -4)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 (cos.f64 y) 2))) (+.f64 8 (pow.f64 (cos.f64 y) 3))))
(/.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -4) (+.f64 (cos.f64 y) -2))
(/.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 (cos.f64 y) 2))))
(/.f64 (neg.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -4)) (neg.f64 (+.f64 (cos.f64 y) -2)))
(/.f64 (neg.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -4)) (*.f64 1 (neg.f64 (+.f64 (cos.f64 y) -2))))
(/.f64 (neg.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 (cos.f64 y) 2)))))
(/.f64 (neg.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3))) (*.f64 1 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 (cos.f64 y) 2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cos.f64 y) 3)) 64) (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 (cos.f64 y) 2))) (-.f64 (pow.f64 (cos.f64 y) 3) 8)))
(/.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)) (-.f64 2 (cos.f64 y)))
(/.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)) (*.f64 1 (-.f64 2 (cos.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) 16) (*.f64 (+.f64 (cos.f64 y) -2) (+.f64 (pow.f64 (cos.f64 y) 2) 4)))
(/.f64 (+.f64 512 (pow.f64 (pow.f64 (cos.f64 y) 3) 3)) (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 (cos.f64 y) 2))) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cos.f64 y) 3)) (-.f64 64 (*.f64 (pow.f64 (cos.f64 y) 3) 8)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) 64) (*.f64 (+.f64 (cos.f64 y) -2) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (+.f64 16 (*.f64 (pow.f64 (cos.f64 y) 2) 4)))))
(pow.f64 (+.f64 (cos.f64 y) 2) 1)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) 2)) 2)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 2)) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) 2) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 y) 2))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) 2) 3))
(expm1.f64 (log.f64 (+.f64 3 (cos.f64 y))))
(exp.f64 (log.f64 (+.f64 (cos.f64 y) 2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) 2)) 1))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) 2)))
(fma.f64 1 (cos.f64 y) 2)
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) 2)
Outputs
3
(+.f64 3 (*.f64 -2 (pow.f64 y 2)))
(+.f64 3 (*.f64 -2 (*.f64 y y)))
(+.f64 3 (*.f64 (*.f64 -2 y) y))
(+.f64 3 (+.f64 (*.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4))))
(+.f64 3 (fma.f64 -2 (*.f64 y y) (*.f64 5/12 (pow.f64 y 4))))
(+.f64 (*.f64 -17/360 (pow.f64 y 6)) (+.f64 3 (+.f64 (*.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4)))))
(fma.f64 -17/360 (pow.f64 y 6) (+.f64 3 (fma.f64 -2 (*.f64 y y) (*.f64 5/12 (pow.f64 y 4)))))
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))
(*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))
(*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))
(*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))
(*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))
(*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))
(*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))
(*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))
(*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) z)
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) z) z) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))
(+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y z)) z) (*.f64 (pow.f64 y 4) (*.f64 1/24 z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 -1/720 (*.f64 (pow.f64 y 6) z) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 -1/720 (*.f64 (pow.f64 y 6) z) (+.f64 z (*.f64 (pow.f64 y 4) (*.f64 1/24 z)))))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(/.f64 3 z)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) z)) (*.f64 3 (/.f64 1 z)))
(fma.f64 -1/2 (/.f64 (*.f64 y y) z) (/.f64 3 z))
(fma.f64 -1/2 (/.f64 y (/.f64 z y)) (/.f64 3 z))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 y 4) z)) (*.f64 3 (/.f64 1 z))))
(fma.f64 -1/2 (/.f64 (*.f64 y y) z) (fma.f64 1/24 (/.f64 (pow.f64 y 4) z) (/.f64 3 z)))
(fma.f64 -1/2 (/.f64 y (/.f64 z y)) (fma.f64 1/24 (/.f64 (pow.f64 y 4) z) (/.f64 3 z)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 y 4) z)) (*.f64 3 (/.f64 1 z)))))
(fma.f64 -1/2 (/.f64 (*.f64 y y) z) (fma.f64 -1/720 (/.f64 (pow.f64 y 6) z) (fma.f64 1/24 (/.f64 (pow.f64 y 4) z) (/.f64 3 z))))
(fma.f64 -1/2 (/.f64 y (/.f64 z y)) (fma.f64 -1/720 (/.f64 (pow.f64 y 6) z) (fma.f64 1/24 (/.f64 (pow.f64 y 4) z) (/.f64 3 z))))
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
(/.f64 (+.f64 2 (cos.f64 y)) z)
3
(+.f64 3 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 3 (*.f64 (*.f64 y y) -1/2))
(+.f64 3 (*.f64 y (*.f64 y -1/2)))
(+.f64 3 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 3 (fma.f64 -1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) 1/24)))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 3 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 3 (fma.f64 -1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) 1/24))))
(+.f64 2 (cos.f64 y))
(+.f64 2 (cos.f64 y))
(+.f64 2 (cos.f64 y))
(+.f64 2 (cos.f64 y))
(+.f64 2 (cos.f64 y))
(+.f64 2 (cos.f64 y))
(+.f64 2 (cos.f64 y))
(+.f64 2 (cos.f64 y))
(+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2))
(*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2))
(*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))
(+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 1) (*.f64 (*.f64 (cos.f64 y) 2) 1))
(*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))
(+.f64 (*.f64 (*.f64 (cos.f64 y) 2) 1) (*.f64 (pow.f64 (cos.f64 y) 2) 1))
(*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))
(+.f64 1/2 (+.f64 (*.f64 1/2 (cos.f64 (+.f64 y y))) (*.f64 (cos.f64 y) 2)))
(+.f64 1/2 (fma.f64 1/2 (cos.f64 (+.f64 y y)) (*.f64 2 (cos.f64 y))))
(+.f64 (+.f64 (*.f64 (cos.f64 y) 2) 1/2) (*.f64 1/2 (cos.f64 (+.f64 y y))))
(+.f64 1/2 (fma.f64 1/2 (cos.f64 (+.f64 y y)) (*.f64 2 (cos.f64 y))))
(+.f64 (*.f64 1 (*.f64 (pow.f64 (cos.f64 y) 2) 1)) (*.f64 1 (*.f64 (*.f64 (cos.f64 y) 2) 1)))
(*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))
(+.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 1) 1) (*.f64 (*.f64 (*.f64 (cos.f64 y) 2) 1) 1))
(*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)))) 1)
(*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))
(/.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) 1)
(*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (cos.f64 y) -4)) (+.f64 (cos.f64 y) -2))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (cos.f64 y) -4)) (+.f64 -2 (cos.f64 y)))
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -4) (+.f64 -2 (cos.f64 y))) (cos.f64 y))
(/.f64 (*.f64 (cos.f64 y) (+.f64 8 (pow.f64 (cos.f64 y) 3))) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 (cos.f64 y) 2))))
(/.f64 (cos.f64 y) (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 2 (cos.f64 y)))) (+.f64 (pow.f64 (cos.f64 y) 3) 8)))
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) 8) (+.f64 4 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 2 (cos.f64 y))))) (cos.f64 y))
(/.f64 (*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -4) (cos.f64 y)) (+.f64 (cos.f64 y) -2))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (cos.f64 y) -4)) (+.f64 -2 (cos.f64 y)))
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -4) (+.f64 -2 (cos.f64 y))) (cos.f64 y))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 (cos.f64 y) 2))))
(/.f64 (cos.f64 y) (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 2 (cos.f64 y)))) (+.f64 (pow.f64 (cos.f64 y) 3) 8)))
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) 8) (+.f64 4 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 2 (cos.f64 y))))) (cos.f64 y))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (*.f64 (*.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2))) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 4) (*.f64 4 (pow.f64 (cos.f64 y) 2))) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 2 (cos.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (*.f64 (*.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2))) (*.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 4) (*.f64 4 (pow.f64 (cos.f64 y) 2))) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 2 (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) (pow.f64 (*.f64 (cos.f64 y) 2) 3)) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (-.f64 (*.f64 (*.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) (pow.f64 (*.f64 2 (cos.f64 y)) 3)) (+.f64 (pow.f64 (cos.f64 y) 4) (-.f64 (*.f64 4 (pow.f64 (cos.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) 2))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 6) (pow.f64 (*.f64 2 (cos.f64 y)) 3)) (+.f64 (pow.f64 (cos.f64 y) 4) (-.f64 (*.f64 4 (pow.f64 (cos.f64 y) 2)) (*.f64 2 (pow.f64 (cos.f64 y) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) (pow.f64 (*.f64 (cos.f64 y) 2) 3)) (*.f64 1 (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (-.f64 (*.f64 (*.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) 2))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) (pow.f64 (*.f64 2 (cos.f64 y)) 3)) (+.f64 (pow.f64 (cos.f64 y) 4) (-.f64 (*.f64 4 (pow.f64 (cos.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) 2))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 6) (pow.f64 (*.f64 2 (cos.f64 y)) 3)) (+.f64 (pow.f64 (cos.f64 y) 4) (-.f64 (*.f64 4 (pow.f64 (cos.f64 y) 2)) (*.f64 2 (pow.f64 (cos.f64 y) 3)))))
(pow.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) 1)
(*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) 3)
(*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) 3) 1/3)
(*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) 2))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))) 2))
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(*.f64 (+.f64 4 (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))) (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -4) (+.f64 (pow.f64 (cos.f64 y) 3) -8)))
(*.f64 (/.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (*.f64 (-.f64 4 (*.f64 (cos.f64 y) 2)) (-.f64 4 (*.f64 (cos.f64 y) 2))))) (+.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -4) (*.f64 (cos.f64 y) 2)))
(*.f64 (+.f64 (*.f64 2 (cos.f64 y)) (fma.f64 (cos.f64 y) (cos.f64 y) -4)) (/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) 8) (-.f64 (pow.f64 (cos.f64 y) 4) (*.f64 (-.f64 4 (*.f64 2 (cos.f64 y))) (-.f64 4 (*.f64 2 (cos.f64 y)))))))
(*.f64 (+.f64 (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))) -4) (/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) 8) (-.f64 (pow.f64 (cos.f64 y) 4) (*.f64 (-.f64 4 (*.f64 2 (cos.f64 y))) (-.f64 4 (*.f64 2 (cos.f64 y)))))))
(*.f64 (/.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) (pow.f64 (-.f64 4 (*.f64 (cos.f64 y) 2)) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (-.f64 (*.f64 (-.f64 4 (*.f64 (cos.f64 y) 2)) (-.f64 4 (*.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 (cos.f64 y) 2))))))
(*.f64 (+.f64 (pow.f64 (cos.f64 y) 4) (*.f64 (-.f64 4 (*.f64 2 (cos.f64 y))) (-.f64 (-.f64 4 (*.f64 2 (cos.f64 y))) (pow.f64 (cos.f64 y) 2)))) (/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) 8) (+.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) (pow.f64 (-.f64 4 (*.f64 2 (cos.f64 y))) 3))))
(*.f64 (+.f64 (pow.f64 (cos.f64 y) 4) (*.f64 (-.f64 4 (*.f64 2 (cos.f64 y))) (-.f64 4 (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) (/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) 8) (+.f64 (pow.f64 (-.f64 4 (*.f64 2 (cos.f64 y))) 3) (pow.f64 (cos.f64 y) 6))))
(/.f64 (+.f64 (cos.f64 y) 2) 1)
(+.f64 2 (cos.f64 y))
(/.f64 1 (/.f64 1 (+.f64 (cos.f64 y) 2)))
(+.f64 2 (cos.f64 y))
(/.f64 1 (/.f64 (+.f64 (cos.f64 y) -2) (fma.f64 (cos.f64 y) (cos.f64 y) -4)))
(/.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -4) (+.f64 -2 (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -4) (+.f64 -2 (cos.f64 y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 (cos.f64 y) 2))) (+.f64 8 (pow.f64 (cos.f64 y) 3))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) 8) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 2 (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) 8) (+.f64 4 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 2 (cos.f64 y)))))
(/.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -4) (+.f64 (cos.f64 y) -2))
(/.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -4) (+.f64 -2 (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -4) (+.f64 -2 (cos.f64 y)))
(/.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 (cos.f64 y) 2))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) 8) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 2 (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) 8) (+.f64 4 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 2 (cos.f64 y)))))
(/.f64 (neg.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -4)) (neg.f64 (+.f64 (cos.f64 y) -2)))
(/.f64 (neg.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -4)) (neg.f64 (+.f64 -2 (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -4)) (-.f64 2 (cos.f64 y)))
(/.f64 (neg.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -4)) (*.f64 1 (neg.f64 (+.f64 (cos.f64 y) -2))))
(/.f64 (neg.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -4)) (neg.f64 (+.f64 -2 (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -4)) (-.f64 2 (cos.f64 y)))
(/.f64 (neg.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 (cos.f64 y) 2)))))
(/.f64 (+.f64 -8 (neg.f64 (pow.f64 (cos.f64 y) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 2 (cos.f64 y))))))
(/.f64 (-.f64 -8 (pow.f64 (cos.f64 y) 3)) (neg.f64 (+.f64 4 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 2 (cos.f64 y))))))
(/.f64 (neg.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3))) (*.f64 1 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 (cos.f64 y) 2))))))
(/.f64 (+.f64 -8 (neg.f64 (pow.f64 (cos.f64 y) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 2 (cos.f64 y))))))
(/.f64 (-.f64 -8 (pow.f64 (cos.f64 y) 3)) (neg.f64 (+.f64 4 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 2 (cos.f64 y))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cos.f64 y) 3)) 64) (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 (cos.f64 y) 2))) (-.f64 (pow.f64 (cos.f64 y) 3) 8)))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 6) -64) (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 2 (cos.f64 y)))) (+.f64 (pow.f64 (cos.f64 y) 3) -8)))
(/.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 6) -64) (+.f64 4 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 2 (cos.f64 y))))) (+.f64 (pow.f64 (cos.f64 y) 3) -8))
(/.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)) (-.f64 2 (cos.f64 y)))
(/.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)) (*.f64 1 (-.f64 2 (cos.f64 y))))
(/.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)) (-.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) 16) (*.f64 (+.f64 (cos.f64 y) -2) (+.f64 (pow.f64 (cos.f64 y) 2) 4)))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 4) -16) (*.f64 (+.f64 -2 (cos.f64 y)) (+.f64 4 (pow.f64 (cos.f64 y) 2))))
(/.f64 (+.f64 512 (pow.f64 (pow.f64 (cos.f64 y) 3) 3)) (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 (cos.f64 y) 2))) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cos.f64 y) 3)) (-.f64 64 (*.f64 (pow.f64 (cos.f64 y) 3) 8)))))
(/.f64 (+.f64 512 (pow.f64 (pow.f64 (cos.f64 y) 3) 3)) (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 2 (cos.f64 y)))) (+.f64 (pow.f64 (cos.f64 y) 6) (-.f64 64 (pow.f64 (*.f64 2 (cos.f64 y)) 3)))))
(/.f64 (+.f64 512 (pow.f64 (pow.f64 (cos.f64 y) 3) 3)) (*.f64 (+.f64 4 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 2 (cos.f64 y)))) (-.f64 (+.f64 (pow.f64 (cos.f64 y) 6) 64) (pow.f64 (*.f64 2 (cos.f64 y)) 3))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) 64) (*.f64 (+.f64 (cos.f64 y) -2) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (+.f64 16 (*.f64 (pow.f64 (cos.f64 y) 2) 4)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) -64) (*.f64 (+.f64 -2 (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 4) (+.f64 (*.f64 4 (pow.f64 (cos.f64 y) 2)) 16))))
(/.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 6) -64) (+.f64 -2 (cos.f64 y))) (+.f64 (pow.f64 (cos.f64 y) 4) (+.f64 (*.f64 4 (pow.f64 (cos.f64 y) 2)) 16)))
(pow.f64 (+.f64 (cos.f64 y) 2) 1)
(+.f64 2 (cos.f64 y))
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) 2)) 2)
(+.f64 2 (cos.f64 y))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 2)) 3)
(+.f64 2 (cos.f64 y))
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) 2) 3) 1/3)
(+.f64 2 (cos.f64 y))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) 2) 2))
(sqrt.f64 (pow.f64 (+.f64 2 (cos.f64 y)) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 y) 2)))
(+.f64 2 (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 y) 2))))
(+.f64 2 (cos.f64 y))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) 2) 3))
(+.f64 2 (cos.f64 y))
(expm1.f64 (log.f64 (+.f64 3 (cos.f64 y))))
(+.f64 2 (cos.f64 y))
(exp.f64 (log.f64 (+.f64 (cos.f64 y) 2)))
(+.f64 2 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) 2)) 1))
(+.f64 2 (cos.f64 y))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) 2)))
(+.f64 2 (cos.f64 y))
(fma.f64 1 (cos.f64 y) 2)
(+.f64 2 (cos.f64 y))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) 2)

localize3.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize4.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (sin.f64 y) x)
✓0.2b
(+.f64 1 (+.f64 (sin.f64 y) x))
✓1.8b
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
Compiler

Compiled 26 to 12 computations (53.8% saved)

series1.0ms (0%)

Counts
2 → 31
Calls

12 calls:

TimeVariablePointExpression
0.0ms
y
@0
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
0.0ms
y
@0
(+.f64 1 (+.f64 (sin.f64 y) x))
0.0ms
y
@inf
(+.f64 1 (+.f64 (sin.f64 y) x))
0.0ms
y
@-inf
(+.f64 1 (+.f64 (sin.f64 y) x))
0.0ms
x
@0
(+.f64 1 (+.f64 (sin.f64 y) x))

rewrite154.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
1436×associate-*l/
1108×distribute-lft-in
912×*-commutative
422×associate-+l+
318×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01040
122328
2316328
Stop Event
1×node limit
Counts
2 → 223
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
(+.f64 1 (+.f64 (sin.f64 y) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (sin.f64 y) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) (+.f64 x 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) (+.f64 (+.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) (+.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) (+.f64 (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) (-.f64 (+.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (+.f64 1 (sin.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (-.f64 (sin.f64 y) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sin.f64 y)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sin.f64 y)) (+.f64 (+.f64 x -1) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sin.f64 y)) (*.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (+.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) (-.f64 (sin.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) (+.f64 (sin.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (+.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (sin.f64 y)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (+.f64 1 (sin.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (+.f64 1 x)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sin.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (+.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (+.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) -1) (/.f64 1 (+.f64 (sin.f64 y) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 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simplify167.0ms (2%)

Algorithm
1×egg-herbie
Rules
1098×distribute-lft-in
1026×distribute-rgt-in
630×associate-/l*
578×+-commutative
558×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060213532
1188813206
Stop Event
1×node limit
Counts
254 → 390
Calls
Call 1
Inputs
x
(+.f64 y x)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y x))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) x)))
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
x
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
x
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 1 x)
(+.f64 1 (+.f64 y x))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 (+.f64 y x)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) x))))
(+.f64 1 (sin.f64 y))
x
x
(+.f64 1 (+.f64 (sin.f64 y) (+.f64 x -1)))
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) (+.f64 x 0))
(+.f64 (sin.f64 y) (+.f64 (+.f64 1 x) -1))
(+.f64 (sin.f64 y) (+.f64 1 (+.f64 x -1)))
(+.f64 (sin.f64 y) (+.f64 (+.f64 x -1) 1))
(+.f64 (sin.f64 y) (-.f64 (+.f64 1 x) 1))
(+.f64 x (sin.f64 y))
(+.f64 x (+.f64 (+.f64 1 (sin.f64 y)) -1))
(+.f64 x (+.f64 (-.f64 (sin.f64 y) 1) 1))
(+.f64 (+.f64 (sin.f64 y) x) 0)
(+.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) -1)
(+.f64 0 (+.f64 (sin.f64 y) x))
(+.f64 (+.f64 1 (sin.f64 y)) (+.f64 x -1))
(+.f64 (+.f64 1 (sin.f64 y)) (+.f64 (+.f64 x -1) 0))
(+.f64 (+.f64 1 (sin.f64 y)) (*.f64 1 (+.f64 x -1)))
(+.f64 (+.f64 (sin.f64 y) (+.f64 x -1)) 1)
(+.f64 -1 (+.f64 1 (+.f64 (sin.f64 y) x)))
(+.f64 (+.f64 1 x) (-.f64 (sin.f64 y) 1))
(+.f64 (+.f64 1 x) (+.f64 (sin.f64 y) -1))
(+.f64 (+.f64 x -1) (+.f64 1 (sin.f64 y)))
(+.f64 (+.f64 -1 (sin.f64 y)) (+.f64 1 x))
(+.f64 (+.f64 -1 (+.f64 1 (sin.f64 y))) x)
(+.f64 (+.f64 -1 (+.f64 1 x)) (sin.f64 y))
(*.f64 1 (+.f64 (sin.f64 y) x))
(*.f64 (+.f64 (sin.f64 y) x) 1)
(*.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (+.f64 (sin.f64 y) x)))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (+.f64 (sin.f64 y) x)))
(*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (sin.f64 y) x)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) -1) (/.f64 1 (+.f64 (sin.f64 y) (+.f64 x 2))))
(*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y))))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) (+.f64 (sin.f64 y) (+.f64 x 2)))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (+.f64 (sin.f64 y) x)))) (-.f64 (sqrt.f64 (+.f64 1 (+.f64 (sin.f64 y) x))) 1))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 (+.f64 (sin.f64 y) x))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (+.f64 (sin.f64 y) x)))))
(*.f64 (/.f64 1 (+.f64 (sin.f64 y) (+.f64 x 2))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) (+.f64 (sin.f64 y) (+.f64 x 2)))) (+.f64 -1 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 3)))
(*.f64 (/.f64 1 (-.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y))))) (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) -1) (+.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) -1)) (+.f64 (sin.f64 y) x))
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))) (+.f64 (sin.f64 y) x))
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (+.f64 (sin.f64 y) x))))
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(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) -1) (*.f64 (cbrt.f64 (+.f64 (sin.f64 y) (+.f64 x 2))) (cbrt.f64 (+.f64 (sin.f64 y) (+.f64 x 2))))) (cbrt.f64 (+.f64 (sin.f64 y) (+.f64 x 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y))))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y))))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 3)) 1) (+.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) (+.f64 (sin.f64 y) (+.f64 x 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) (+.f64 (sin.f64 y) (+.f64 x 2))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) (+.f64 (sin.f64 y) (+.f64 x 2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) (+.f64 (sin.f64 y) (+.f64 x 2)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) (+.f64 (sin.f64 y) (+.f64 x 2)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) (+.f64 (sin.f64 y) (+.f64 x 2)))))
(pow.f64 (+.f64 (sin.f64 y) x) 1)
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 3)
(pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2))
(log.f64 (exp.f64 (+.f64 (sin.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 y) x))))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(exp.f64 (log.f64 (+.f64 (sin.f64 y) x)))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 y) x)))
(fma.f64 1 (sin.f64 y) x)
(fma.f64 1 x (sin.f64 y))
(fma.f64 1 (+.f64 1 (+.f64 (sin.f64 y) x)) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (+.f64 (sin.f64 y) x))) (sqrt.f64 (+.f64 1 (+.f64 (sin.f64 y) x))) -1)
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (sin.f64 y) x))) 2) (cbrt.f64 (+.f64 1 (+.f64 (sin.f64 y) x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sin.f64 y))
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 0)
(-.f64 (+.f64 1 (sin.f64 y)) (-.f64 1 (+.f64 1 x)))
(-.f64 (+.f64 (sin.f64 y) (+.f64 x 2)) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 1 (sin.f64 y))))
(-.f64 (/.f64 1 (-.f64 1 (+.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) (+.f64 (sin.f64 y) (+.f64 x 2))) (-.f64 (/.f64 1 (+.f64 (sin.f64 y) (+.f64 x 2))) 1))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 3) (+.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) (+.f64 (sin.f64 y) (+.f64 x 2)))) (-.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) (+.f64 (sin.f64 y) (+.f64 x 2)))) 1))
(-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) x)) (-.f64 (/.f64 x (/.f64 (-.f64 (sin.f64 y) x) x)) 1))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) (+.f64 (sin.f64 y) (+.f64 x 2)))) (/.f64 1 (+.f64 (sin.f64 y) (+.f64 x 2))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 3) (+.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) (+.f64 (sin.f64 y) (+.f64 x 2))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) (+.f64 (sin.f64 y) (+.f64 x 2)))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) x))) (/.f64 x (/.f64 (-.f64 (sin.f64 y) x) x)))
(-.f64 (+.f64 (+.f64 1 (sin.f64 y)) (exp.f64 (log1p.f64 x))) 1)
(*.f64 1 (+.f64 1 (+.f64 (sin.f64 y) x)))
(*.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
(*.f64 (sqrt.f64 (+.f64 1 (+.f64 (sin.f64 y) x))) (sqrt.f64 (+.f64 1 (+.f64 (sin.f64 y) x))))
(*.f64 (cbrt.f64 (+.f64 1 (+.f64 (sin.f64 y) x))) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (sin.f64 y) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (sin.f64 y) x))) 2) (cbrt.f64 (+.f64 1 (+.f64 (sin.f64 y) x))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2)) (/.f64 1 (-.f64 1 (+.f64 (sin.f64 y) x))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x)))))
(*.f64 (/.f64 1 (-.f64 1 (+.f64 (sin.f64 y) x))) (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x)))) (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 3)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2))) (+.f64 1 (+.f64 (sin.f64 y) x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 3))) (+.f64 1 (+.f64 (+.f64 (sin.f64 y) x) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 3)) (-.f64 1 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (+.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (+.f64 (sin.f64 y) x))))) (+.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2)) (+.f64 (sin.f64 y) x)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 3)) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (+.f64 (sin.f64 y) x)) 3))) (-.f64 (+.f64 1 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (+.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (+.f64 (sin.f64 y) x)))) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (+.f64 (sin.f64 y) x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) 1) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) 1)) (+.f64 1 (+.f64 (sin.f64 y) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) 1) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) 1)) (+.f64 1 (+.f64 (+.f64 (sin.f64 y) x) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(/.f64 1 (/.f64 1 (+.f64 1 (+.f64 (sin.f64 y) x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 1 (+.f64 (sin.f64 y) x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 3)) (/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x))) 1))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2))) (/.f64 (-.f64 1 (+.f64 (sin.f64 y) x)) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2)))) (/.f64 (-.f64 1 (+.f64 (sin.f64 y) x)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 3)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) 1) (+.f64 (sin.f64 y) (+.f64 x -1)))
(/.f64 (-.f64 (*.f64 (+.f64 1 (sin.f64 y)) (+.f64 1 (sin.f64 y))) (*.f64 x x)) (+.f64 (sin.f64 y) (-.f64 1 x)))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3))) (*.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x))) (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 3))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))) (*.f64 (-.f64 1 (+.f64 (sin.f64 y) x)) (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (+.f64 (*.f64 (+.f64 1 (sin.f64 y)) (+.f64 1 (sin.f64 y))) (-.f64 (*.f64 x x) (*.f64 x (+.f64 1 (sin.f64 y))))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x))) (-.f64 (+.f64 1 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3))) (pow.f64 (+.f64 (sin.f64 y) x) 3))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) 3)) (*.f64 (-.f64 1 (+.f64 (sin.f64 y) x)) (+.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2))) (neg.f64 (-.f64 1 (+.f64 (sin.f64 y) x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) 1) 1) (+.f64 (sin.f64 y) (+.f64 x -1)))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 1 (sin.f64 y)) (+.f64 1 (sin.f64 y))) (*.f64 x x)) 1) (+.f64 (sin.f64 y) (-.f64 1 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sin.f64 y)) 3)) 1) (+.f64 (*.f64 (+.f64 1 (sin.f64 y)) (+.f64 1 (sin.f64 y))) (-.f64 (*.f64 x x) (*.f64 x (+.f64 1 (sin.f64 y))))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2))) 1) (neg.f64 (-.f64 1 (+.f64 (sin.f64 y) x))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2))) (sqrt.f64 (+.f64 1 (+.f64 (sin.f64 y) x)))) (sqrt.f64 (-.f64 1 (+.f64 (sin.f64 y) x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 3))) (sqrt.f64 (+.f64 1 (+.f64 (sin.f64 y) x)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (sin.f64 y) x))) 2)) (cbrt.f64 (-.f64 1 (+.f64 (sin.f64 y) x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (sin.f64 y) x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))) (/.f64 1 (-.f64 1 (+.f64 (sin.f64 y) x)))) (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) 3)) (/.f64 1 (-.f64 1 (+.f64 (sin.f64 y) x)))) (+.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x))))) (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x))))) (-.f64 (+.f64 1 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3))) (pow.f64 (+.f64 (sin.f64 y) x) 3)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2)) 1) (-.f64 1 (+.f64 (sin.f64 y) x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2)) (sqrt.f64 (-.f64 1 (+.f64 (sin.f64 y) x)))) (sqrt.f64 (-.f64 1 (+.f64 (sin.f64 y) x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2)) (*.f64 (cbrt.f64 (-.f64 1 (+.f64 (sin.f64 y) x))) (cbrt.f64 (-.f64 1 (+.f64 (sin.f64 y) x))))) (cbrt.f64 (-.f64 1 (+.f64 (sin.f64 y) x))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 3)) 1) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) 1) 1) (+.f64 (sin.f64 y) (+.f64 x -1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) 1) (sqrt.f64 (+.f64 (sin.f64 y) (+.f64 x -1)))) (sqrt.f64 (+.f64 (sin.f64 y) (+.f64 x -1))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) 1) (*.f64 (cbrt.f64 (+.f64 (sin.f64 y) (+.f64 x -1))) (cbrt.f64 (+.f64 (sin.f64 y) (+.f64 x -1))))) (cbrt.f64 (+.f64 (sin.f64 y) (+.f64 x -1))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) 1) (+.f64 1 (sqrt.f64 (+.f64 (sin.f64 y) x)))) (-.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) 1))
(pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (+.f64 (sin.f64 y) x))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (sin.f64 y) x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2))
(log.f64 (exp.f64 (+.f64 1 (+.f64 (sin.f64 y) x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (+.f64 (sin.f64 y) x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 3))
(expm1.f64 (log.f64 (+.f64 (sin.f64 y) (+.f64 x 2))))
(exp.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(log1p.f64 (expm1.f64 (+.f64 1 (+.f64 (sin.f64 y) x))))
(fma.f64 1 (+.f64 (sin.f64 y) x) 1)
(fma.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (+.f64 (sin.f64 y) x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (+.f64 (sin.f64 y) x)) 1)
Outputs
x
(+.f64 y x)
(+.f64 x y)
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(/.f64 (-.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 6)) (*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (-.f64 1 (+.f64 x (sin.f64 y)))) (-.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 6)) (*.f64 (+.f64 1 (*.f64 (+.f64 x (sin.f64 y)) (+.f64 (sin.f64 y) (+.f64 x -1)))) (-.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 3))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x))))) (-.f64 (+.f64 1 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3))) (pow.f64 (+.f64 (sin.f64 y) x) 3)))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (-.f64 1 (+.f64 x (sin.f64 y)))) (-.f64 (+.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 6)) (pow.f64 (+.f64 x (sin.f64 y)) 3))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) 3)) (*.f64 (+.f64 1 (*.f64 (+.f64 x (sin.f64 y)) (+.f64 (sin.f64 y) (+.f64 x -1)))) (-.f64 (+.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 6)) (pow.f64 (+.f64 x (sin.f64 y)) 3))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2)) 1) (-.f64 1 (+.f64 (sin.f64 y) x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 2)) (-.f64 1 (+.f64 x (sin.f64 y))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2)) (sqrt.f64 (-.f64 1 (+.f64 (sin.f64 y) x)))) (sqrt.f64 (-.f64 1 (+.f64 (sin.f64 y) x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 2)) (*.f64 (sqrt.f64 (-.f64 1 (+.f64 x (sin.f64 y)))) (sqrt.f64 (-.f64 1 (+.f64 x (sin.f64 y))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2)) (*.f64 (cbrt.f64 (-.f64 1 (+.f64 (sin.f64 y) x))) (cbrt.f64 (-.f64 1 (+.f64 (sin.f64 y) x))))) (cbrt.f64 (-.f64 1 (+.f64 (sin.f64 y) x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (+.f64 x (sin.f64 y)))) (cbrt.f64 (-.f64 1 (+.f64 x (sin.f64 y)))))) (cbrt.f64 (-.f64 1 (+.f64 x (sin.f64 y)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (+.f64 x (sin.f64 y)))) (*.f64 (cbrt.f64 (-.f64 1 (+.f64 x (sin.f64 y)))) (cbrt.f64 (-.f64 1 (+.f64 x (sin.f64 y)))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 3)) 1) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (-.f64 1 (+.f64 x (sin.f64 y))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 3)) (+.f64 1 (*.f64 (+.f64 x (sin.f64 y)) (+.f64 (sin.f64 y) (+.f64 x -1)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 3)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (-.f64 1 (+.f64 x (sin.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (-.f64 1 (+.f64 x (sin.f64 y)))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 3)) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (+.f64 x (sin.f64 y)) (+.f64 (sin.f64 y) (+.f64 x -1))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 x (sin.f64 y)) (+.f64 (sin.f64 y) (+.f64 x -1)))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 1 (+.f64 (sin.f64 y) x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (-.f64 1 (+.f64 x (sin.f64 y))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (-.f64 1 (+.f64 x (sin.f64 y))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (-.f64 1 (+.f64 x (sin.f64 y))))))
(/.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 3)) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 x (sin.f64 y)) (+.f64 (sin.f64 y) (+.f64 x -1)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 x (sin.f64 y)) (+.f64 (sin.f64 y) (+.f64 x -1)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 x (sin.f64 y)) (+.f64 (sin.f64 y) (+.f64 x -1))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) 1) 1) (+.f64 (sin.f64 y) (+.f64 x -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) -1) (+.f64 (sin.f64 y) (+.f64 x -1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x (sin.f64 y)) 2)) (+.f64 (sin.f64 y) (+.f64 x -1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) 1) (sqrt.f64 (+.f64 (sin.f64 y) (+.f64 x -1)))) (sqrt.f64 (+.f64 (sin.f64 y) (+.f64 x -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) -1) (*.f64 (sqrt.f64 (+.f64 (sin.f64 y) (+.f64 x -1))) (sqrt.f64 (+.f64 (sin.f64 y) (+.f64 x -1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x (sin.f64 y)) 2)) (*.f64 (sqrt.f64 (+.f64 (sin.f64 y) (+.f64 x -1))) (sqrt.f64 (+.f64 (sin.f64 y) (+.f64 x -1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) 1) (*.f64 (cbrt.f64 (+.f64 (sin.f64 y) (+.f64 x -1))) (cbrt.f64 (+.f64 (sin.f64 y) (+.f64 x -1))))) (cbrt.f64 (+.f64 (sin.f64 y) (+.f64 x -1))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) -1) (*.f64 (cbrt.f64 (+.f64 (sin.f64 y) (+.f64 x -1))) (cbrt.f64 (+.f64 (sin.f64 y) (+.f64 x -1))))) (cbrt.f64 (+.f64 (sin.f64 y) (+.f64 x -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x (sin.f64 y)) 2)) (*.f64 (cbrt.f64 (+.f64 (sin.f64 y) (+.f64 x -1))) (*.f64 (cbrt.f64 (+.f64 (sin.f64 y) (+.f64 x -1))) (cbrt.f64 (+.f64 (sin.f64 y) (+.f64 x -1))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) 1) (+.f64 1 (sqrt.f64 (+.f64 (sin.f64 y) x)))) (-.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) 1))
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) -1) (+.f64 (sin.f64 y) (+.f64 x -1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x (sin.f64 y)) 2)) (+.f64 (sin.f64 y) (+.f64 x -1)))
(pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
(+.f64 (+.f64 x (sin.f64 y)) 1)
(+.f64 x (+.f64 (sin.f64 y) 1))
(pow.f64 (sqrt.f64 (+.f64 1 (+.f64 (sin.f64 y) x))) 2)
(+.f64 (+.f64 x (sin.f64 y)) 1)
(+.f64 x (+.f64 (sin.f64 y) 1))
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (sin.f64 y) x))) 3)
(+.f64 (+.f64 x (sin.f64 y)) 1)
(+.f64 x (+.f64 (sin.f64 y) 1))
(pow.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 3) 1/3)
(+.f64 (+.f64 x (sin.f64 y)) 1)
(+.f64 x (+.f64 (sin.f64 y) 1))
(sqrt.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 x (sin.f64 y)) 1) 2))
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) 1)) 2))
(log.f64 (exp.f64 (+.f64 1 (+.f64 (sin.f64 y) x))))
(+.f64 (+.f64 x (sin.f64 y)) 1)
(+.f64 x (+.f64 (sin.f64 y) 1))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (+.f64 (sin.f64 y) x)))))
(+.f64 (+.f64 x (sin.f64 y)) 1)
(+.f64 x (+.f64 (sin.f64 y) 1))
(cbrt.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 3))
(+.f64 (+.f64 x (sin.f64 y)) 1)
(+.f64 x (+.f64 (sin.f64 y) 1))
(expm1.f64 (log.f64 (+.f64 (sin.f64 y) (+.f64 x 2))))
(expm1.f64 (log.f64 (+.f64 x (+.f64 (sin.f64 y) 2))))
(exp.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(exp.f64 (log1p.f64 (+.f64 x (sin.f64 y))))
(log1p.f64 (expm1.f64 (+.f64 1 (+.f64 (sin.f64 y) x))))
(+.f64 (+.f64 x (sin.f64 y)) 1)
(+.f64 x (+.f64 (sin.f64 y) 1))
(fma.f64 1 (+.f64 (sin.f64 y) x) 1)
(+.f64 (+.f64 x (sin.f64 y)) 1)
(+.f64 x (+.f64 (sin.f64 y) 1))
(fma.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (+.f64 (sin.f64 y) x)) 1)
(+.f64 (+.f64 x (sin.f64 y)) 1)
(+.f64 x (+.f64 (sin.f64 y) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (+.f64 (sin.f64 y) x)) 1)
(+.f64 (+.f64 x (sin.f64 y)) 1)
(+.f64 x (+.f64 (sin.f64 y) 1))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 y)
0.1b
(exp.f64 (cos.f64 y))
✓0.1b
(*.f64 (log.f64 (exp.f64 (cos.f64 y))) z)
0.3b
(log.f64 (exp.f64 (cos.f64 y)))
Compiler

Compiled 20 to 7 computations (65% saved)

series0.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@0
(*.f64 (log.f64 (exp.f64 (cos.f64 y))) z)
0.0ms
z
@inf
(*.f64 (log.f64 (exp.f64 (cos.f64 y))) z)
0.0ms
y
@inf
(*.f64 (log.f64 (exp.f64 (cos.f64 y))) z)
0.0ms
y
@-inf
(*.f64 (log.f64 (exp.f64 (cos.f64 y))) z)
0.0ms
z
@-inf
(*.f64 (log.f64 (exp.f64 (cos.f64 y))) z)

rewrite93.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1420×add-sqr-sqrt
1410×*-un-lft-identity
1296×add-cube-cbrt
1276×add-cbrt-cube
1260×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
116511
2177511
Stop Event
1×node limit
Counts
1 → 12
Calls
Call 1
Inputs
(*.f64 (log.f64 (exp.f64 (cos.f64 y))) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))))))

simplify57.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1268×fma-def
932×log-prod
890×distribute-lft-out
746×*-commutative
680×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054484
1135476
2447468
32129462
45507462
Stop Event
1×node limit
Counts
36 → 28
Calls
Call 1
Inputs
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
Outputs
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 1/24 (*.f64 z (pow.f64 y 4))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(*.f64 z (+.f64 (*.f64 -1/2 (*.f64 y y)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(*.f64 z (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (*.f64 1/24 (*.f64 z (pow.f64 y 4))))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z)))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/720 (pow.f64 y 6))) (*.f64 z (fma.f64 1/24 (pow.f64 y 4) 1)))
(*.f64 z (+.f64 (fma.f64 -1/2 (*.f64 y y) 1) (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/720 (pow.f64 y 6)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(*.f64 z (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 z (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 z (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(*.f64 z (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(*.f64 z (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) 1))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))

eval397.0ms (4.7%)

Compiler

Compiled 25474 to 13610 computations (46.6% saved)

prune241.0ms (2.9%)

Pruning

22 alts after pruning (11 fresh and 11 done)

PrunedKeptTotal
New102031023
Fresh088
Picked011
Done11011
Total1021221043
Error
0b
Counts
1043 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
37.9b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
0.2b
(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
31.1b
(-.f64 (/.f64 1 (/.f64 1 (+.f64 1 (+.f64 (sin.f64 y) x)))) 1)
38.4b
(-.f64 (+.f64 x 1) 1)
✓31.1b
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
✓0.1b
(+.f64 (+.f64 x (sin.f64 y)) (/.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) (/.f64 (+.f64 (cos.f64 y) 2) z)))
0.1b
(+.f64 (+.f64 x (sin.f64 y)) (/.f64 z (/.f64 1 (cos.f64 y))))
✓0.0b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
✓28.3b
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
✓25.5b
(+.f64 (sin.f64 y) x)
38.6b
(+.f64 z (sin.f64 y))
✓46.1b
(+.f64 z y)
✓19.9b
(+.f64 z x)
✓36.3b
(+.f64 y x)
37.6b
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 3) z)
37.5b
(*.f64 (-.f64 (+.f64 1 (cos.f64 y)) 1) z)
49.2b
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z)
✓37.5b
(*.f64 (log.f64 (exp.f64 (cos.f64 y))) z)
✓37.5b
(*.f64 (cos.f64 y) z)
✓53.0b
(sin.f64 y)
47.7b
z
35.0b
x
Compiler

Compiled 211 to 157 computations (25.6% saved)

regimes90.0ms (1.1%)

Counts
36 → 1
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 z x)
(+.f64 z y)
(+.f64 y (+.f64 z x))
(-.f64 (+.f64 x 1) 1)
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 z (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 (+.f64 x (sin.f64 y)) z)
(*.f64 (-.f64 (+.f64 1 (cos.f64 y)) 1) z)
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
(-.f64 (/.f64 1 (/.f64 1 (+.f64 1 (+.f64 (sin.f64 y) x)))) 1)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) (/.f64 z (/.f64 1 (cos.f64 y))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (-.f64 (+.f64 1 (cos.f64 y)) 1)))
(*.f64 (log.f64 (exp.f64 (cos.f64 y))) z)
(fma.f64 (cos.f64 y) z (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 3) z)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (log.f64 (exp.f64 (cos.f64 y)))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 3)))
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
(+.f64 (+.f64 x (sin.f64 y)) (/.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) (/.f64 (+.f64 (cos.f64 y) 2) z)))
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)) 3))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) 2) (/.f64 (cbrt.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))))
Outputs
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
Calls

4 calls:

27.0ms
y
19.0ms
z
19.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
17.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 396 to 157 computations (60.4% saved)

regimes54.0ms (0.6%)

Counts
24 → 1
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 z x)
(+.f64 z y)
(+.f64 y (+.f64 z x))
(-.f64 (+.f64 x 1) 1)
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 z (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 (+.f64 x (sin.f64 y)) z)
(*.f64 (-.f64 (+.f64 1 (cos.f64 y)) 1) z)
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
(-.f64 (/.f64 1 (/.f64 1 (+.f64 1 (+.f64 (sin.f64 y) x)))) 1)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) (/.f64 z (/.f64 1 (cos.f64 y))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (-.f64 (+.f64 1 (cos.f64 y)) 1)))
(*.f64 (log.f64 (exp.f64 (cos.f64 y))) z)
(fma.f64 (cos.f64 y) z (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 3) z)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Calls

4 calls:

13.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
12.0ms
y
12.0ms
z
12.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 171 to 82 computations (52% saved)

regimes117.0ms (1.4%)

Counts
17 → 3
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 z x)
(+.f64 z y)
(+.f64 y (+.f64 z x))
(-.f64 (+.f64 x 1) 1)
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 z (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 (+.f64 x (sin.f64 y)) z)
(*.f64 (-.f64 (+.f64 1 (cos.f64 y)) 1) z)
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
(-.f64 (/.f64 1 (/.f64 1 (+.f64 1 (+.f64 (sin.f64 y) x)))) 1)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
Outputs
(*.f64 (cos.f64 y) z)
(+.f64 (+.f64 x (sin.f64 y)) z)
(*.f64 (cos.f64 y) z)
Calls

3 calls:

56.0ms
y
34.0ms
x
25.0ms
z
Results
ErrorSegmentsBranch
6.1b3x
4.9b7y
4.3b3z
Compiler

Compiled 100 to 51 computations (49% saved)

bsearch42.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
17.0ms
8.622511367383678e+162
3.011799697228252e+163
25.0ms
-5.961776988286044e+157
-1.6162028950277877e+156
Results
22.0ms147×body256valid
12.0ms26×body1024valid
5.0ms19×body512valid
Compiler

Compiled 234 to 169 computations (27.8% saved)

regimes115.0ms (1.4%)

Counts
12 → 5
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 z x)
(+.f64 z y)
(+.f64 y (+.f64 z x))
(-.f64 (+.f64 x 1) 1)
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 z (sin.f64 y))
(+.f64 (sin.f64 y) x)
Outputs
(*.f64 (cos.f64 y) z)
(+.f64 z x)
(+.f64 (sin.f64 y) x)
(+.f64 z x)
(*.f64 (cos.f64 y) z)
Calls

3 calls:

59.0ms
y
32.0ms
z
22.0ms
x
Results
ErrorSegmentsBranch
12.7b3x
10.3b5y
5.5b5z
Compiler

Compiled 59 to 31 computations (47.5% saved)

bsearch117.0ms (1.4%)

Algorithm
4×binary-search
Steps
TimeLeftRight
17.0ms
8.622511367383678e+162
3.011799697228252e+163
28.0ms
9.04265559777173e-9
0.08994259448212176
47.0ms
-0.1653989372165548
-0.001838592711708137
25.0ms
-5.961776988286044e+157
-1.6162028950277877e+156
Results
79.0ms366×body256valid
24.0ms54×body1024valid
9.0ms28×body512valid
Compiler

Compiled 438 to 321 computations (26.7% saved)

regimes97.0ms (1.2%)

Counts
11 → 3
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 z x)
(+.f64 z y)
(+.f64 y (+.f64 z x))
(-.f64 (+.f64 x 1) 1)
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 z (sin.f64 y))
Outputs
(+.f64 z x)
(+.f64 z (sin.f64 y))
(+.f64 z x)
Calls

3 calls:

46.0ms
z
30.0ms
y
19.0ms
x
Results
ErrorSegmentsBranch
12.7b3x
13.1b5y
13.7b3z
Compiler

Compiled 55 to 30 computations (45.5% saved)

bsearch164.0ms (1.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
89.0ms
1.0013598454603207e-106
4.28368994517714e-103
75.0ms
-2.571196562108884e-109
-1.9203152743122297e-112
Results
135.0ms184×body256valid
20.0ms47×body1024valid
7.0ms25×body512valid
Compiler

Compiled 258 to 189 computations (26.7% saved)

regimes131.0ms (1.6%)

Counts
10 → 7
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 z x)
(+.f64 z y)
(+.f64 y (+.f64 z x))
(-.f64 (+.f64 x 1) 1)
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
Outputs
(*.f64 (cos.f64 y) z)
(+.f64 z x)
(*.f64 (cos.f64 y) z)
(+.f64 y (+.f64 z x))
(*.f64 (cos.f64 y) z)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
Calls

3 calls:

64.0ms
y
24.0ms
x
18.0ms
z
Results
ErrorSegmentsBranch
14.3b4x
11.9b7y
13.7b3z
Compiler

Compiled 51 to 29 computations (43.1% saved)

bsearch322.0ms (3.8%)

Algorithm
6×binary-search
Steps
TimeLeftRight
104.0ms
1.1018213798233112e+276
1.0325054530857946e+281
87.0ms
1.0533731078238294e+167
2.2722676378250727e+198
17.0ms
3.733365124482191e+71
2.2533247171316985e+72
20.0ms
-1.4953764852978572e+21
-3.878357574078262e+19
12.0ms
-1.9425947181352184e+58
-1.0677624340419879e+58
82.0ms
-2.0180168349843402e+190
-8.077211121424931e+170
Results
193.0ms331×body1024valid
120.0ms437×body256valid
Compiler

Compiled 744 to 554 computations (25.5% saved)

regimes80.0ms (0.9%)

Counts
9 → 4
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 z x)
(+.f64 z y)
(+.f64 y (+.f64 z x))
(-.f64 (+.f64 x 1) 1)
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z)
(sin.f64 y)
Outputs
(+.f64 z x)
(+.f64 y (+.f64 z x))
(sin.f64 y)
(+.f64 z x)
Calls

3 calls:

49.0ms
y
22.0ms
x
6.0ms
z
Results
ErrorSegmentsBranch
16.7b4x
17.6b3y
19.9b1z
Compiler

Compiled 47 to 27 computations (42.6% saved)

bsearch102.0ms (1.2%)

Algorithm
3×binary-search
Steps
TimeLeftRight
35.0ms
6.045962520239969e-110
7.760919475868382e-107
30.0ms
1.7334453042254238e-245
6.63454942668232e-241
37.0ms
-6.533483456391979e-76
-7.255942494411017e-84
Results
43.0ms266×body256valid
37.0ms79×body1024valid
17.0ms55×body512valid
Compiler

Compiled 386 to 280 computations (27.5% saved)

regimes46.0ms (0.5%)

Counts
8 → 3
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 z x)
(+.f64 z y)
(+.f64 y (+.f64 z x))
(-.f64 (+.f64 x 1) 1)
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z)
Outputs
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 z x)
Calls

3 calls:

21.0ms
y
19.0ms
x
5.0ms
z
Results
ErrorSegmentsBranch
18.1b3x
17.7b3y
19.9b1z
Compiler

Compiled 45 to 26 computations (42.2% saved)

bsearch48.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
16.0ms
5.2219116837485266e-55
2.922143801515164e-54
32.0ms
-4.848368897516589
-6.992140972945109e-6
Results
44.0ms240×body256valid
Compiler

Compiled 258 to 178 computations (31% saved)

regimes23.0ms (0.3%)

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

3 calls:

13.0ms
x
5.0ms
y
4.0ms
z
Results
ErrorSegmentsBranch
18.6b3x
19.9b1y
19.9b1z
Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch71.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
39.0ms
-1.3586720282030712e-306
1.8589053659001325e-297
32.0ms
-2.571196562108884e-109
-1.9203152743122297e-112
Results
30.0ms200×body256valid
25.0ms55×body1024valid
12.0ms33×body512valid
Compiler

Compiled 270 to 193 computations (28.5% saved)

regimes15.0ms (0.2%)

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

3 calls:

5.0ms
z
5.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
19.9b1x
19.9b1y
19.9b1z
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes51.0ms (0.6%)

Accuracy

Total -35.2b remaining (-129.5%)

Threshold costs -35.2b (-129.5%)

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

3 calls:

19.0ms
y
17.0ms
x
13.0ms
z
Results
ErrorSegmentsBranch
27.8b3x
30.1b6y
27.2b3z
Compiler

Compiled 20 to 13 computations (35% saved)

bsearch44.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
27.0ms
2.6761224470629553e+39
8.246715520287024e+43
17.0ms
-5.299333115921565e+62
-2.3138899559591e+62
Results
28.0ms172×body256valid
11.0ms27×body1024valid
2.0ms9×body512valid
Compiler

Compiled 148 to 117 computations (20.9% saved)

simplify26.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
14×+-commutative
12×if-if-or-not
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092520
1121520
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 z -5200000000000000370755122460791127434502592538074192357750745649633569197639585541186498263795485966916898735331894859216452551697754059114407716321440563200) (*.f64 (cos.f64 y) z) (if (<=.f64 z 11600000000000000238060454459223024091252760841952717756327763091382293506968452025831321930214898007802874624718706411135750554785454885776468811757499242346708992) (+.f64 (+.f64 x (sin.f64 y)) z) (*.f64 (cos.f64 y) z)))
(if (<=.f64 z -1659999999999999957133326327158452228877262752929556238081155771523073125497203498601492832274371494313371920786935863983264845081709916540873178468216471552) (*.f64 (cos.f64 y) z) (if (<=.f64 z -2132904783522667/1152921504606846976) (+.f64 z x) (if (<=.f64 z 2780529385113647/302231454903657293676544) (+.f64 (sin.f64 y) x) (if (<=.f64 z 19000000000000000417484110885999574329937759683441540265421030046996260558653298375554584718036815659359824381323879280891856748944455259848860356288931553444102144) (+.f64 z x) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 x -5288447750321989/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (+.f64 z x) (if (<=.f64 x 3732158026922485/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (+.f64 z (sin.f64 y)) (+.f64 z x)))
(if (<=.f64 y -25500000000000000466182309787847415136337935305789709879770287867209997510315704245091684300763985227004970993149907109240142475634832176733797051455814091251084573987812260664311808) (*.f64 (cos.f64 y) z) (if (<=.f64 y -12999999999999999408934994457554114695134539961119415468032) (+.f64 z x) (if (<=.f64 y -750000000000000000000) (*.f64 (cos.f64 y) z) (if (<=.f64 y 950000000000000015267520632146663327308309738903374431086430371279011840) (+.f64 y (+.f64 z x)) (if (<=.f64 y 750000000000000046347780725562494074252344308412189272708918436641751379194393532558935319946088445101331637599611255016978851219807220629850701702706240207270274172657280616281928808397371940536320) (*.f64 (cos.f64 y) z) (if (<=.f64 y 1699999999999999916313121348034062783429187879063508863880537277459918080813279662002591656940133732267417453882954184129381432953537606998189733630195910636734970430858185742194470848814522312904241576608652349992387710616110239000863895848352873362764227178621366183326121984) (sin.f64 y) (*.f64 (cos.f64 y) z)))))))
(if (<=.f64 x -6664279552073239/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (+.f64 z x) (if (<=.f64 x 4879885938723055/7507516828804700229971157695509256861311759593549503536677899390762631562619231707947410198580331380848554019184705462619182690666302243261761460906639905160039726922590902577336628349889145412319979767917902626154330339044684617119264613887239597666074624) (+.f64 y (+.f64 z x)) (if (<=.f64 x 8990361175547381/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096) (sin.f64 y) (+.f64 z x))))
(if (<=.f64 y -3602879701896397/1125899906842624) (+.f64 z x) (if (<=.f64 y 5003766101423159/1725436586697640946858688965569256363112777243042596638790631055949824) (+.f64 y (+.f64 z x)) (+.f64 z x)))
(if (<=.f64 x -8969207384546093/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) (+.f64 z x) (if (<=.f64 x 5301612777885153/2945340432158418383223693624588738123559693482299075088767878449688292160397327779966295692450325070170031945807812908771881611572255401942922812303597144053805349165872996110766935565946816006053119311086960734516644260779498911850068592403100913453684334767056261910363295677456051671938422478104563288264146944) (+.f64 z y) (+.f64 z x)))
(+.f64 z x)
(if (<=.f64 z -479999999999999998541788025890887153075125116478359017204219904) z (if (<=.f64 z 78000000000000001334690520140506028199378944) x z))
x
Outputs
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 z -5200000000000000370755122460791127434502592538074192357750745649633569197639585541186498263795485966916898735331894859216452551697754059114407716321440563200) (*.f64 (cos.f64 y) z) (if (<=.f64 z 11600000000000000238060454459223024091252760841952717756327763091382293506968452025831321930214898007802874624718706411135750554785454885776468811757499242346708992) (+.f64 (+.f64 x (sin.f64 y)) z) (*.f64 (cos.f64 y) z)))
(if (or (<=.f64 z -5200000000000000370755122460791127434502592538074192357750745649633569197639585541186498263795485966916898735331894859216452551697754059114407716321440563200) (not (<=.f64 z 11600000000000000238060454459223024091252760841952717756327763091382293506968452025831321930214898007802874624718706411135750554785454885776468811757499242346708992))) (*.f64 z (cos.f64 y)) (+.f64 z (+.f64 x (sin.f64 y))))
(if (<=.f64 z -1659999999999999957133326327158452228877262752929556238081155771523073125497203498601492832274371494313371920786935863983264845081709916540873178468216471552) (*.f64 (cos.f64 y) z) (if (<=.f64 z -2132904783522667/1152921504606846976) (+.f64 z x) (if (<=.f64 z 2780529385113647/302231454903657293676544) (+.f64 (sin.f64 y) x) (if (<=.f64 z 19000000000000000417484110885999574329937759683441540265421030046996260558653298375554584718036815659359824381323879280891856748944455259848860356288931553444102144) (+.f64 z x) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 z -1659999999999999957133326327158452228877262752929556238081155771523073125497203498601492832274371494313371920786935863983264845081709916540873178468216471552) (*.f64 z (cos.f64 y)) (if (<=.f64 z -2132904783522667/1152921504606846976) (+.f64 z x) (if (<=.f64 z 2780529385113647/302231454903657293676544) (+.f64 x (sin.f64 y)) (if (<=.f64 z 19000000000000000417484110885999574329937759683441540265421030046996260558653298375554584718036815659359824381323879280891856748944455259848860356288931553444102144) (+.f64 z x) (*.f64 z (cos.f64 y))))))
(if (<=.f64 x -5288447750321989/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (+.f64 z x) (if (<=.f64 x 3732158026922485/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (+.f64 z (sin.f64 y)) (+.f64 z x)))
(if (<=.f64 y -25500000000000000466182309787847415136337935305789709879770287867209997510315704245091684300763985227004970993149907109240142475634832176733797051455814091251084573987812260664311808) (*.f64 (cos.f64 y) z) (if (<=.f64 y -12999999999999999408934994457554114695134539961119415468032) (+.f64 z x) (if (<=.f64 y -750000000000000000000) (*.f64 (cos.f64 y) z) (if (<=.f64 y 950000000000000015267520632146663327308309738903374431086430371279011840) (+.f64 y (+.f64 z x)) (if (<=.f64 y 750000000000000046347780725562494074252344308412189272708918436641751379194393532558935319946088445101331637599611255016978851219807220629850701702706240207270274172657280616281928808397371940536320) (*.f64 (cos.f64 y) z) (if (<=.f64 y 1699999999999999916313121348034062783429187879063508863880537277459918080813279662002591656940133732267417453882954184129381432953537606998189733630195910636734970430858185742194470848814522312904241576608652349992387710616110239000863895848352873362764227178621366183326121984) (sin.f64 y) (*.f64 (cos.f64 y) z)))))))
(if (<=.f64 y -25500000000000000466182309787847415136337935305789709879770287867209997510315704245091684300763985227004970993149907109240142475634832176733797051455814091251084573987812260664311808) (*.f64 z (cos.f64 y)) (if (<=.f64 y -12999999999999999408934994457554114695134539961119415468032) (+.f64 z x) (if (<=.f64 y -750000000000000000000) (*.f64 z (cos.f64 y)) (if (<=.f64 y 950000000000000015267520632146663327308309738903374431086430371279011840) (+.f64 y (+.f64 z x)) (if (or (<=.f64 y 750000000000000046347780725562494074252344308412189272708918436641751379194393532558935319946088445101331637599611255016978851219807220629850701702706240207270274172657280616281928808397371940536320) (not (<=.f64 y 1699999999999999916313121348034062783429187879063508863880537277459918080813279662002591656940133732267417453882954184129381432953537606998189733630195910636734970430858185742194470848814522312904241576608652349992387710616110239000863895848352873362764227178621366183326121984))) (*.f64 z (cos.f64 y)) (sin.f64 y))))))
(if (<=.f64 x -6664279552073239/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (+.f64 z x) (if (<=.f64 x 4879885938723055/7507516828804700229971157695509256861311759593549503536677899390762631562619231707947410198580331380848554019184705462619182690666302243261761460906639905160039726922590902577336628349889145412319979767917902626154330339044684617119264613887239597666074624) (+.f64 y (+.f64 z x)) (if (<=.f64 x 8990361175547381/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096) (sin.f64 y) (+.f64 z x))))
(if (<=.f64 y -3602879701896397/1125899906842624) (+.f64 z x) (if (<=.f64 y 5003766101423159/1725436586697640946858688965569256363112777243042596638790631055949824) (+.f64 y (+.f64 z x)) (+.f64 z x)))
(if (<=.f64 x -8969207384546093/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) (+.f64 z x) (if (<=.f64 x 5301612777885153/2945340432158418383223693624588738123559693482299075088767878449688292160397327779966295692450325070170031945807812908771881611572255401942922812303597144053805349165872996110766935565946816006053119311086960734516644260779498911850068592403100913453684334767056261910363295677456051671938422478104563288264146944) (+.f64 z y) (+.f64 z x)))
(+.f64 z x)
(if (<=.f64 z -479999999999999998541788025890887153075125116478359017204219904) z (if (<=.f64 z 78000000000000001334690520140506028199378944) x z))
x
Compiler

Compiled 247 to 142 computations (42.5% saved)

soundness32.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
14×+-commutative
12×fma-def
4×associate-+l+
2×associate-+r+
2×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01127
11623
22523
33123
Stop Event
1×saturated
Compiler

Compiled 29 to 10 computations (65.5% saved)

end83.0ms (1%)

Compiler

Compiled 214 to 85 computations (60.3% saved)

Profiling

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