Details

Time bar (total: 10.7s)

analyze227.0ms (2.1%)

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 (21.8%)

Results
1.1s6136×body256valid
904.0ms1428×body1024valid
267.0ms685×body512valid
8.0ms7×body2048valid
Bogosity

preprocess15.0ms (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)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Compiled 23 to 15 computations (34.8% saved)

localize13.0ms (0.1%)

Local error

Found 3 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)))
✓0.1b
(*.f64 z (cos.f64 y))
Compiler

Compiled 27 to 8 computations (70.4% saved)

series8.0ms (0.1%)

Counts
3 → 76
Calls

21 calls:

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

rewrite106.0ms (1%)

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
01149
123645
2327745
Stop Event
1×node limit
Counts
3 → 191
Calls
Call 1
Inputs
(*.f64 z (cos.f64 y))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 x (sin.f64 y))
Outputs
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((#(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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simplify160.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1350×+-commutative
796×associate-*r*
722×associate-/l*
680×associate-*l*
586×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052911521
1155411191
2780211191
Stop Event
1×node limit
Counts
267 → 312
Calls
Call 1
Inputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
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(/.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 (*.f64 1/24 (pow.f64 y 4)) z))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (*.f64 (*.f64 1/24 (pow.f64 y 4)) z))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z)))
(+.f64 (*.f64 z (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 z (+.f64 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)))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 z (+.f64 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 (sin.f64 y))) (-.f64 1 (+.f64 (*.f64 z (cos.f64 y)) x)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1) (fma.f64 z (cos.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z x) (expm1.f64 (log1p.f64 (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 1)
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y)))) (-.f64 1 (*.f64 z (cos.f64 y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (expm1.f64 (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) 1)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (expm1.f64 (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (+.f64 x (sin.f64 y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z 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))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (-.f64 (+.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 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y))))) 1)
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(-.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 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(-.f64 (+.f64 (+.f64 x (sin.f64 y)) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1)
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(-.f64 (+.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (expm1.f64 (log1p.f64 x)))
(-.f64 (+.f64 (+.f64 (*.f64 z (cos.f64 y)) x) (exp.f64 (log1p.f64 (sin.f64 y)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1) (fma.f64 z (cos.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z x) (expm1.f64 (log1p.f64 (sin.f64 y))))
(*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
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(/.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 (/.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) (hypot.f64 (pow.f64 x 3/2) (pow.f64 (sin.f64 y) 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 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (-.f64 x (sin.f64 y)))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 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 (pow.f64 x 6) (pow.f64 (sin.f64 y) 6)) (*.f64 (-.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 (-.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 x 6) (pow.f64 (sin.f64 y) 6)) (-.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 (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 (+.f64 (pow.f64 x 6) (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 x x) (pow.f64 (sin.f64 y) 2)) (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y))) (+.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (*.f64 (+.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)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 22 to 7 computations (68.2% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite62.0ms (0.6%)

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 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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)))))))))

simplify71.0ms (0.7%)

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))
(+.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 (*.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) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (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))
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))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
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(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))

eval135.0ms (1.3%)

Compiler

Compiled 13248 to 4188 computations (68.4% saved)

prune96.0ms (0.9%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New49815513
Fresh000
Picked011
Done101
Total49916515
Error
0.0b
Counts
515 → 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)))
✓0.1b
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
28.3b
(/.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)))))
45.9b
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (sqrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (sqrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
▶27.9b
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
17.8b
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
▶0.1b
(+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (sin.f64 y))
31.6b
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
0.5b
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
▶30.6b
(+.f64 (+.f64 x (sin.f64 y)) (+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 (*.f64 1/24 (pow.f64 y 4)) z)))
26.6b
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
▶26.2b
(+.f64 (sin.f64 y) x)
▶22.4b
(+.f64 z x)
24.1b
(+.f64 y (+.f64 z x))
37.3b
(*.f64 (cos.f64 y) z)
36.8b
x
Compiler

Compiled 497 to 300 computations (39.6% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 29 to 8 computations (72.4% saved)

series4.0ms (0%)

Counts
2 → 72
Calls

18 calls:

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

rewrite89.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01144
123636
2327936
Stop Event
1×node limit
Counts
2 → 178
Calls
Call 1
Inputs
(+.f64 x (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (sin.f64 y))
Outputs
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simplify132.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1112×+-commutative
1048×associate-+r+
712×associate-/l*
698×associate-*r*
620×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050411824
1148511472
2693411472
Stop Event
1×node limit
Counts
250 → 292
Calls
Call 1
Inputs
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
x
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(+.f64 (*.f64 (cos.f64 y) z) x)
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(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 3) 3) (pow.f64 (pow.f64 (sin.f64 y) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))) (+.f64 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 3) (pow.f64 (fma.f64 z (cos.f64 y) x) 3)) (-.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 3) (pow.f64 (sin.f64 y) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2)) 1) (-.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (-.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)))) (sqrt.f64 (-.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (cbrt.f64 (-.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))) (cbrt.f64 (-.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))) (cbrt.f64 (-.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2)) (+.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) x)) (sqrt.f64 (sin.f64 y)))) (-.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) x)) (sqrt.f64 (sin.f64 y))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 3) (pow.f64 (sin.f64 y) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))))
(pow.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) 2))
(log.f64 (exp.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))))
(cbrt.f64 (pow.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(exp.f64 (log.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(fma.f64 1 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 1 (fma.f64 z (cos.f64 y) x) (sin.f64 y))
(fma.f64 1 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) x)) (sqrt.f64 (fma.f64 z (cos.f64 y) x)) (sin.f64 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (fma.f64 z (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) x)) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) x)) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (fma.f64 z (cos.f64 y) x))
Outputs
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
x
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
x
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
x
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 z x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z x))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z x))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (+.f64 z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) z)) x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) x)))
(+.f64 (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) x) (fma.f64 -1/2 (*.f64 y (*.f64 y 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 (*.f64 1/24 (*.f64 (pow.f64 y 4) z)) x))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) x))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (+.f64 (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) x) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) z)))
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
x
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.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 y (fma.f64 -1/2 (*.f64 y (*.f64 y z)) (+.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))))
(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 y (fma.f64 -1/2 (*.f64 y (*.f64 y z)) (+.f64 z x))))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) x))) 1)
(fma.f64 (cos.f64 y) z x)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 z (cos.f64 y))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (expm1.f64 (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 x))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1) x)
(+.f64 x (expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z))))
(-.f64 (/.f64 x (/.f64 (-.f64 x (*.f64 z (cos.f64 y))) x)) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 x (*.f64 z (cos.f64 y)))))
(fma.f64 (cos.f64 y) z x)
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1) x)
(+.f64 x (expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z))))
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (expm1.f64 (log1p.f64 x)))
(*.f64 (fma.f64 z (cos.f64 y) x) 1)
(fma.f64 (cos.f64 y) z x)
(*.f64 1 (fma.f64 z (cos.f64 y) x))
(fma.f64 (cos.f64 y) z x)
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) x)) (sqrt.f64 (fma.f64 z (cos.f64 y) x)))
(fma.f64 (cos.f64 y) z x)
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) x)) 2))
(fma.f64 (cos.f64 y) z x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) x)) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) x)))
(fma.f64 (cos.f64 y) z x)
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 x (*.f64 z (cos.f64 y)))))
(fma.f64 (cos.f64 y) z x)
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(fma.f64 1 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
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(fma.f64 1 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
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(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) x)) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) x)) (sin.f64 y))
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(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (fma.f64 z (cos.f64 y) x))
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(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))

localize4.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize5.0ms (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)

series1.0ms (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
y
@-inf
(+.f64 (sin.f64 y) x)
0.0ms
x
@-inf
(+.f64 (sin.f64 y) x)

rewrite53.0ms (0.5%)

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)))))

simplify52.0ms (0.5%)

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))

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 1/24 (pow.f64 y 4))
✓5.4b
(*.f64 (*.f64 1/24 (pow.f64 y 4)) z)
✓8.0b
(*.f64 z (*.f64 y y))
✓14.4b
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 (*.f64 1/24 (pow.f64 y 4)) z))
Compiler

Compiled 83 to 40 computations (51.8% saved)

series11.0ms (0.1%)

Counts
4 → 72
Calls

21 calls:

TimeVariablePointExpression
3.0ms
z
@inf
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 (*.f64 1/24 (pow.f64 y 4)) z))
2.0ms
z
@0
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 (*.f64 1/24 (pow.f64 y 4)) z))
1.0ms
z
@-inf
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 (*.f64 1/24 (pow.f64 y 4)) z))
1.0ms
y
@inf
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 (*.f64 1/24 (pow.f64 y 4)) z))
0.0ms
y
@0
(*.f64 (*.f64 1/24 (pow.f64 y 4)) z)

rewrite94.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
740×distribute-rgt-in
692×distribute-lft-in
448×associate-*r/
408×associate-*l/
390×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01590
132086
2393186
Stop Event
1×node limit
Counts
4 → 124
Calls
Call 1
Inputs
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 (*.f64 1/24 (pow.f64 y 4)) z))
(*.f64 z (*.f64 y y))
(*.f64 (*.f64 1/24 (pow.f64 y 4)) z)
(*.f64 1/24 (pow.f64 y 4))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 y 4) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 6) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (*.f64 y y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 z z) (*.f64 (pow.f64 y 8) 1/576)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/24) (*.f64 z (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/24 (pow.f64 y 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/24 (pow.f64 y 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y y) (sqrt.f64 1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/24 (pow.f64 y 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/24 (pow.f64 y 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 y 8) 1/576))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 y 4)) 1/24))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/24 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/24 (pow.f64 y 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/24 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/24 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/24 (pow.f64 y 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/24 (pow.f64 y 4))))))))

simplify124.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
814×associate-/l/
788×associate-/r/
782×associate-+r+
750×associate-+l+
678×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034812364
195811912
2495911912
Stop Event
1×node limit
Counts
196 → 191
Calls
Call 1
Inputs
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1/24 (pow.f64 y 4))) 1) z))
(*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1/24 (pow.f64 y 4))) 1) z))
(*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1/24 (pow.f64 y 4))) 1) z))
(*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1/24 (pow.f64 y 4))) 1) 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 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(*.f64 1/24 (*.f64 (pow.f64 y 4) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) 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 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(*.f64 1/24 (*.f64 (pow.f64 y 4) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) 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 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 1/24 (*.f64 (pow.f64 y 4) z))
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(*.f64 1/24 (*.f64 (pow.f64 y 4) z))
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(*.f64 1/24 (*.f64 (pow.f64 y 4) z))
(*.f64 1/24 (*.f64 (pow.f64 y 4) z))
(*.f64 1/24 (*.f64 (pow.f64 y 4) z))
(*.f64 1/24 (*.f64 (pow.f64 y 4) z))
(*.f64 1/24 (*.f64 (pow.f64 y 4) z))
(*.f64 1/24 (*.f64 (pow.f64 y 4) z))
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(*.f64 1/24 (*.f64 (pow.f64 y 4) z))
(*.f64 1/24 (*.f64 (pow.f64 y 4) z))
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(*.f64 1/24 (*.f64 (pow.f64 y 4) z))
(*.f64 1/24 (*.f64 (pow.f64 y 4) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))))) (-.f64 1 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))) (-.f64 1 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 2) (+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 z (*.f64 (pow.f64 y 4) -1/24)))) (/.f64 (*.f64 (*.f64 z z) (*.f64 (pow.f64 y 8) 1/576)) (+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 z (*.f64 (pow.f64 y 4) -1/24)))))
(-.f64 (+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (exp.f64 (log1p.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))))) 1)
(-.f64 (+.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)))) 1)
(-.f64 (+.f64 (*.f64 z (+.f64 (*.f64 1/24 (pow.f64 y 4)) (*.f64 -1/2 (*.f64 y y)))) (exp.f64 (log1p.f64 z))) 1)
(*.f64 (fma.f64 z (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)) 1)
(*.f64 1 (fma.f64 z (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)))
(*.f64 (sqrt.f64 (fma.f64 z (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))) (sqrt.f64 (fma.f64 z (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))))
(*.f64 (cbrt.f64 (fma.f64 z (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))) (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))) 2) (cbrt.f64 (fma.f64 z (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))))
(*.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 2) (*.f64 (*.f64 z z) (*.f64 (pow.f64 y 8) 1/576))) (/.f64 1 (+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 z (*.f64 (pow.f64 y 4) -1/24)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 3) (pow.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 2) (*.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) (-.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))))))
(*.f64 (/.f64 1 (+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 z (*.f64 (pow.f64 y 4) -1/24)))) (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 2) (*.f64 (*.f64 z z) (*.f64 (pow.f64 y 8) 1/576))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 2) (*.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) (-.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))))) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 3) (pow.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) 3)))
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(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 3) 3) (pow.f64 (pow.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 2) (*.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) (-.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)))))) (+.f64 (*.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 3) (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 3)) (*.f64 (pow.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) 3) (-.f64 (pow.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) 3) (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 2) (*.f64 (*.f64 z z) (*.f64 (pow.f64 y 8) 1/576))) 1) (+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 z (*.f64 (pow.f64 y 4) -1/24))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 2) (*.f64 (*.f64 z z) (*.f64 (pow.f64 y 8) 1/576))) (sqrt.f64 (+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 z (*.f64 (pow.f64 y 4) -1/24))))) (sqrt.f64 (+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 z (*.f64 (pow.f64 y 4) -1/24)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 2) (*.f64 (*.f64 z z) (*.f64 (pow.f64 y 8) 1/576))) (*.f64 (cbrt.f64 (+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 z (*.f64 (pow.f64 y 4) -1/24)))) (cbrt.f64 (+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 z (*.f64 (pow.f64 y 4) -1/24)))))) (cbrt.f64 (+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 z (*.f64 (pow.f64 y 4) -1/24)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 2) (*.f64 (*.f64 z z) (*.f64 (pow.f64 y 8) 1/576))) (+.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)) (sqrt.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))))) (-.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)) (sqrt.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 3) (pow.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) 3)) 1) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 2) (*.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) (-.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 3) (pow.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 2) (*.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) (-.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 2) (*.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) (-.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 3) (pow.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 2) (*.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) (-.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 2) (*.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) (-.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 2) (*.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) (-.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))))))
(pow.f64 (fma.f64 z (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)) 1)
(pow.f64 (sqrt.f64 (fma.f64 z (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))) 2)
(pow.f64 (cbrt.f64 (fma.f64 z (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))) 3)
(pow.f64 (pow.f64 (fma.f64 z (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 2) (*.f64 (*.f64 z z) (*.f64 (pow.f64 y 8) 1/576))) (neg.f64 (+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 z (*.f64 (pow.f64 y 4) -1/24))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 3) (pow.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) 3)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) 2) (*.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) (-.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)))))))
(sqrt.f64 (pow.f64 (fma.f64 z (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)) 2))
(log.f64 (exp.f64 (fma.f64 z (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)))))
(cbrt.f64 (pow.f64 (fma.f64 z (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))))
(exp.f64 (log.f64 (fma.f64 z (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))))
(fma.f64 z (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))
(fma.f64 1/24 (*.f64 z (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))
(fma.f64 (*.f64 1/24 (pow.f64 y 4)) z (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))
(fma.f64 1 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 1/24 (*.f64 z (pow.f64 y 4))))
(fma.f64 1 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)) (sqrt.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)) (*.f64 1/24 (*.f64 z (pow.f64 y 4))))
(fma.f64 (sqrt.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))) (sqrt.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)) (*.f64 1/24 (*.f64 z (pow.f64 y 4))))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 z z) (*.f64 (pow.f64 y 8) 1/576))) (cbrt.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 y y)))) 1)
(pow.f64 (*.f64 z (*.f64 y y)) 1)
(pow.f64 (*.f64 y (sqrt.f64 z)) 2)
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) 3)
(pow.f64 (pow.f64 (*.f64 z (*.f64 y y)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 y 4) (*.f64 z z)))
(log.f64 (pow.f64 (exp.f64 z) (*.f64 y y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 y y)))))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 y y)) 3))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 y 6)))
(cbrt.f64 (*.f64 (pow.f64 y 6) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 y y))))
(exp.f64 (log.f64 (*.f64 z (*.f64 y y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 y y))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 y y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))))) 1)
(pow.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) 1)
(pow.f64 (sqrt.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))) 3)
(pow.f64 (pow.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) 3) 1/3)
(sqrt.f64 (*.f64 (*.f64 z z) (*.f64 (pow.f64 y 8) 1/576)))
(log.f64 (pow.f64 (exp.f64 1/24) (*.f64 z (pow.f64 y 4))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))))))
(cbrt.f64 (pow.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))))
(exp.f64 (log.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/24 (pow.f64 y 4)))) 1)
(pow.f64 (*.f64 1/24 (pow.f64 y 4)) 1)
(pow.f64 (*.f64 (*.f64 y y) (sqrt.f64 1/24)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/24 (pow.f64 y 4))) 3)
(pow.f64 (pow.f64 (*.f64 1/24 (pow.f64 y 4)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 y 8) 1/576))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y 4)) 1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/24 (pow.f64 y 4)))))
(cbrt.f64 (pow.f64 (*.f64 1/24 (pow.f64 y 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/24 (pow.f64 y 4))))
(exp.f64 (log.f64 (*.f64 1/24 (pow.f64 y 4))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/24 (pow.f64 y 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/24 (pow.f64 y 4))))
Outputs
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) z)
(+.f64 z (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) z)
(+.f64 z (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) z)
(+.f64 z (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) z)
(+.f64 z (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) z)
(+.f64 z (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) z)
(+.f64 z (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) z)
(+.f64 z (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) z)
(+.f64 z (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1/24 (pow.f64 y 4))) 1) z))
(neg.f64 (*.f64 z (+.f64 (fma.f64 1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) -1/24)) -1)))
(*.f64 (fma.f64 1/2 (*.f64 y y) (fma.f64 (pow.f64 y 4) -1/24 -1)) (neg.f64 z))
(*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1/24 (pow.f64 y 4))) 1) z))
(neg.f64 (*.f64 z (+.f64 (fma.f64 1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) -1/24)) -1)))
(*.f64 (fma.f64 1/2 (*.f64 y y) (fma.f64 (pow.f64 y 4) -1/24 -1)) (neg.f64 z))
(*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1/24 (pow.f64 y 4))) 1) z))
(neg.f64 (*.f64 z (+.f64 (fma.f64 1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) -1/24)) -1)))
(*.f64 (fma.f64 1/2 (*.f64 y y) (fma.f64 (pow.f64 y 4) -1/24 -1)) (neg.f64 z))
(*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1/24 (pow.f64 y 4))) 1) z))
(neg.f64 (*.f64 z (+.f64 (fma.f64 1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) -1/24)) -1)))
(*.f64 (fma.f64 1/2 (*.f64 y y) (fma.f64 (pow.f64 y 4) -1/24 -1)) (neg.f64 z))
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (*.f64 (*.f64 z 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 (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) z)
(+.f64 z (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(*.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) z)
(+.f64 z (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(*.f64 1/24 (*.f64 (pow.f64 y 4) z))
(*.f64 (*.f64 1/24 z) (pow.f64 y 4))
(*.f64 (pow.f64 y 4) (*.f64 1/24 z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))
(*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(*.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) z)
(+.f64 z (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(*.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) z)
(+.f64 z (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(*.f64 1/24 (*.f64 (pow.f64 y 4) z))
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(+.f64 z (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 1/24 (*.f64 z (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))
(*.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) z)
(+.f64 z (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 (*.f64 1/24 (pow.f64 y 4)) z (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))
(*.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) z)
(+.f64 z (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 1 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 1/24 (*.f64 z (pow.f64 y 4))))
(*.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) z)
(+.f64 z (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 1 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))
(*.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) z)
(+.f64 z (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)) (sqrt.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)) (*.f64 1/24 (*.f64 z (pow.f64 y 4))))
(*.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) z)
(+.f64 z (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 (sqrt.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))) (sqrt.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))
(*.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) z)
(+.f64 z (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)) (*.f64 1/24 (*.f64 z (pow.f64 y 4))))
(*.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) z)
(+.f64 z (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 z z) (*.f64 (pow.f64 y 8) 1/576))) (cbrt.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z))
(fma.f64 (cbrt.f64 (*.f64 z (*.f64 z (*.f64 (pow.f64 y 8) 1/576)))) (cbrt.f64 (*.f64 (*.f64 1/24 z) (pow.f64 y 4))) (fma.f64 -1/2 (*.f64 (*.f64 z y) y) z))
(fma.f64 (cbrt.f64 (*.f64 z (*.f64 z (*.f64 (pow.f64 y 8) 1/576)))) (cbrt.f64 (*.f64 (pow.f64 y 4) (*.f64 1/24 z))) (fma.f64 -1/2 (*.f64 y (*.f64 y z)) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 y y)))) 1)
(*.f64 (*.f64 z y) y)
(*.f64 y (*.f64 y z))
(pow.f64 (*.f64 z (*.f64 y y)) 1)
(*.f64 (*.f64 z y) y)
(*.f64 y (*.f64 y z))
(pow.f64 (*.f64 y (sqrt.f64 z)) 2)
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) 3)
(*.f64 (*.f64 z y) y)
(*.f64 y (*.f64 y z))
(pow.f64 (pow.f64 (*.f64 z (*.f64 y y)) 3) 1/3)
(*.f64 (*.f64 z y) y)
(*.f64 y (*.f64 y z))
(sqrt.f64 (*.f64 (pow.f64 y 4) (*.f64 z z)))
(log.f64 (pow.f64 (exp.f64 z) (*.f64 y y)))
(*.f64 (*.f64 z y) y)
(*.f64 y (*.f64 y z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 y y)))))
(*.f64 (*.f64 z y) y)
(*.f64 y (*.f64 y z))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 y y)) 3))
(*.f64 (*.f64 z y) y)
(*.f64 y (*.f64 y z))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 y 6)))
(*.f64 (*.f64 z y) y)
(*.f64 y (*.f64 y z))
(cbrt.f64 (*.f64 (pow.f64 y 6) (pow.f64 z 3)))
(*.f64 (*.f64 z y) y)
(*.f64 y (*.f64 y z))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 y y))))
(*.f64 (*.f64 z y) y)
(*.f64 y (*.f64 y z))
(exp.f64 (log.f64 (*.f64 z (*.f64 y y))))
(*.f64 (*.f64 z y) y)
(*.f64 y (*.f64 y z))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 y y))) 1))
(*.f64 (*.f64 z y) y)
(*.f64 y (*.f64 y z))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 y y))))
(*.f64 (*.f64 z y) y)
(*.f64 y (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))))) 1)
(*.f64 (*.f64 1/24 z) (pow.f64 y 4))
(*.f64 (pow.f64 y 4) (*.f64 1/24 z))
(pow.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) 1)
(*.f64 (*.f64 1/24 z) (pow.f64 y 4))
(*.f64 (pow.f64 y 4) (*.f64 1/24 z))
(pow.f64 (sqrt.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))) 2)
(*.f64 (*.f64 1/24 z) (pow.f64 y 4))
(*.f64 (pow.f64 y 4) (*.f64 1/24 z))
(pow.f64 (cbrt.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))) 3)
(*.f64 (*.f64 1/24 z) (pow.f64 y 4))
(*.f64 (pow.f64 y 4) (*.f64 1/24 z))
(pow.f64 (pow.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) 3) 1/3)
(*.f64 (*.f64 1/24 z) (pow.f64 y 4))
(*.f64 (pow.f64 y 4) (*.f64 1/24 z))
(sqrt.f64 (*.f64 (*.f64 z z) (*.f64 (pow.f64 y 8) 1/576)))
(sqrt.f64 (*.f64 z (*.f64 z (*.f64 (pow.f64 y 8) 1/576))))
(log.f64 (pow.f64 (exp.f64 1/24) (*.f64 z (pow.f64 y 4))))
(*.f64 (*.f64 1/24 z) (pow.f64 y 4))
(*.f64 (pow.f64 y 4) (*.f64 1/24 z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))))))
(*.f64 (*.f64 1/24 z) (pow.f64 y 4))
(*.f64 (pow.f64 y 4) (*.f64 1/24 z))
(cbrt.f64 (pow.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4))) 3))
(*.f64 (*.f64 1/24 z) (pow.f64 y 4))
(*.f64 (pow.f64 y 4) (*.f64 1/24 z))
(expm1.f64 (log1p.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))))
(*.f64 (*.f64 1/24 z) (pow.f64 y 4))
(*.f64 (pow.f64 y 4) (*.f64 1/24 z))
(exp.f64 (log.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))))
(*.f64 (*.f64 1/24 z) (pow.f64 y 4))
(*.f64 (pow.f64 y 4) (*.f64 1/24 z))
(exp.f64 (*.f64 (log.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))) 1))
(*.f64 (*.f64 1/24 z) (pow.f64 y 4))
(*.f64 (pow.f64 y 4) (*.f64 1/24 z))
(log1p.f64 (expm1.f64 (*.f64 1/24 (*.f64 z (pow.f64 y 4)))))
(*.f64 (*.f64 1/24 z) (pow.f64 y 4))
(*.f64 (pow.f64 y 4) (*.f64 1/24 z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/24 (pow.f64 y 4)))) 1)
(*.f64 1/24 (pow.f64 y 4))
(pow.f64 (*.f64 1/24 (pow.f64 y 4)) 1)
(*.f64 1/24 (pow.f64 y 4))
(pow.f64 (*.f64 (*.f64 y y) (sqrt.f64 1/24)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/24 (pow.f64 y 4))) 3)
(*.f64 1/24 (pow.f64 y 4))
(pow.f64 (pow.f64 (*.f64 1/24 (pow.f64 y 4)) 3) 1/3)
(*.f64 1/24 (pow.f64 y 4))
(sqrt.f64 (*.f64 (pow.f64 y 8) 1/576))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y 4)) 1/24))
(*.f64 1/24 (pow.f64 y 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/24 (pow.f64 y 4)))))
(*.f64 1/24 (pow.f64 y 4))
(cbrt.f64 (pow.f64 (*.f64 1/24 (pow.f64 y 4)) 3))
(*.f64 1/24 (pow.f64 y 4))
(expm1.f64 (log1p.f64 (*.f64 1/24 (pow.f64 y 4))))
(*.f64 1/24 (pow.f64 y 4))
(exp.f64 (log.f64 (*.f64 1/24 (pow.f64 y 4))))
(*.f64 1/24 (pow.f64 y 4))
(exp.f64 (*.f64 (log.f64 (*.f64 1/24 (pow.f64 y 4))) 1))
(*.f64 1/24 (pow.f64 y 4))
(log1p.f64 (expm1.f64 (*.f64 1/24 (pow.f64 y 4))))
(*.f64 1/24 (pow.f64 y 4))

localize53.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(pow.f64 (+.f64 (sin.f64 y) x) 2)
✓0.3b
(pow.f64 (cos.f64 y) 2)
✓3.2b
(-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 (sin.f64 y) x) 2))
✓26.1b
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
Compiler

Compiled 89 to 30 computations (66.3% saved)

series21.0ms (0.2%)

Counts
4 → 92
Calls

27 calls:

TimeVariablePointExpression
4.0ms
x
@0
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
3.0ms
y
@0
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
2.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
2.0ms
y
@inf
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
1.0ms
y
@-inf
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))

rewrite202.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
1624×associate-/r/
474×associate-+l+
428×add-sqr-sqrt
422×*-un-lft-identity
418×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018150
140790
2595790
Stop Event
1×node limit
Counts
4 → 229
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 (sin.f64 y) x) 2))
(pow.f64 (cos.f64 y) 2)
(pow.f64 (+.f64 (sin.f64 y) x) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) (+.f64 x (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 (cos.f64 y) z)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 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simplify225.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1386×associate-*r*
1154×associate-*l*
1054×associate-/l*
814×*-commutative
720×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076825055
1251224225
Stop Event
1×node limit
Counts
321 → 446
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) (-.f64 z x))
(-.f64 (+.f64 (*.f64 y (-.f64 (*.f64 -2 (/.f64 x (-.f64 z x))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) (pow.f64 (-.f64 z x) 2))))) (/.f64 (pow.f64 z 2) (-.f64 z x))) (/.f64 (pow.f64 x 2) (-.f64 z x)))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (-.f64 z x))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) z) (pow.f64 (-.f64 z x) 2))) (+.f64 (/.f64 1 (-.f64 z x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (/.f64 x (-.f64 z x))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) (pow.f64 (-.f64 z x) 2)))) (-.f64 z x)))))) (pow.f64 y 2)) (+.f64 (*.f64 y (-.f64 (*.f64 -2 (/.f64 x (-.f64 z x))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) (pow.f64 (-.f64 z x) 2))))) (/.f64 (pow.f64 z 2) (-.f64 z x)))) (/.f64 (pow.f64 x 2) (-.f64 z x)))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (-.f64 z x))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) z) (pow.f64 (-.f64 z x) 2))) (+.f64 (/.f64 1 (-.f64 z x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (/.f64 x (-.f64 z x))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) (pow.f64 (-.f64 z x) 2)))) (-.f64 z x)))))) (pow.f64 y 2)) (+.f64 (*.f64 (pow.f64 y 3) (-.f64 (*.f64 1/3 (/.f64 x (-.f64 z x))) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) (pow.f64 (-.f64 z x) 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (-.f64 z x))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) z) (pow.f64 (-.f64 z x) 2))) (+.f64 (/.f64 1 (-.f64 z x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (/.f64 x (-.f64 z x))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) (pow.f64 (-.f64 z x) 2)))) (-.f64 z x)))))) (-.f64 z x))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 x (-.f64 z x))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) (pow.f64 (-.f64 z x) 2)))) z) (-.f64 z x))))))) (+.f64 (*.f64 y (-.f64 (*.f64 -2 (/.f64 x (-.f64 z x))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) (pow.f64 (-.f64 z x) 2))))) (/.f64 (pow.f64 z 2) (-.f64 z x))))) (/.f64 (pow.f64 x 2) (-.f64 z x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
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(*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 3) (pow.f64 (+.f64 (sin.f64 y) x) 6)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (*.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4))))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))) (-.f64 (*.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)) (pow.f64 (+.f64 (sin.f64 y) x) 4)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (*.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4))))) (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 3) (pow.f64 (+.f64 (sin.f64 y) x) 6)))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)) (pow.f64 (+.f64 (sin.f64 y) x) 4)) (-.f64 (*.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)) (pow.f64 (+.f64 (sin.f64 y) x) 4))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)) (pow.f64 (+.f64 (sin.f64 y) x) 4)) (+.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 3) (pow.f64 (+.f64 (sin.f64 y) x) 6))) (-.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) (*.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4))) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(*.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 3) (pow.f64 (+.f64 (sin.f64 y) x) 6)) (-.f64 (*.f64 (*.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)) (*.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4))) (*.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)))))) (-.f64 (*.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 3) (pow.f64 (+.f64 (sin.f64 y) x) 6)) (+.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)) 3) (pow.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))) 3))) (+.f64 (*.f64 (*.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)) (*.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4))) (-.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)))) (*.f64 (*.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)) (pow.f64 (+.f64 (sin.f64 y) x) 4))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (*.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)))) (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 3) (pow.f64 (+.f64 (sin.f64 y) x) 6))))
(/.f64 (-.f64 (*.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)) (pow.f64 (+.f64 (sin.f64 y) x) 4)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 3) (pow.f64 (+.f64 (sin.f64 y) x) 6)) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (*.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)) (pow.f64 (+.f64 (sin.f64 y) x) 4))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 3) (pow.f64 (+.f64 (sin.f64 y) x) 6))) (neg.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (*.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4))))))
(/.f64 (-.f64 (*.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)) (*.f64 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 3) (pow.f64 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)) 3)) (+.f64 (*.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)) (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2))) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2))))))
(pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) 1)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))) 2)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(fma.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(fma.f64 (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(fma.f64 1 (pow.f64 (*.f64 (cos.f64 y) z) 2) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) 2) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) 2) z) z (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 y))))
(+.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) 1)
(*.f64 (cos.f64 y) (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 2) 1)
(*.f64 1 (pow.f64 (cos.f64 y) 2))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (cos.f64 y)) (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (cos.f64 y) (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) 2)
(sqrt.f64 (pow.f64 (cos.f64 y) 4))
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 y) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)))
(exp.f64 (*.f64 2 (log.f64 (cos.f64 y))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 2)))
(+.f64 (*.f64 (+.f64 (sin.f64 y) x) (sin.f64 y)) (*.f64 (+.f64 (sin.f64 y) x) x))
(+.f64 (*.f64 (+.f64 (sin.f64 y) x) x) (*.f64 (+.f64 (sin.f64 y) x) (sin.f64 y)))
(+.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) x)) (*.f64 x (+.f64 (sin.f64 y) x)))
(+.f64 (*.f64 x (+.f64 (sin.f64 y) x)) (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2))) 1)
(*.f64 (+.f64 (sin.f64 y) x) (+.f64 (sin.f64 y) x))
(*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) 1)
(*.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (*.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (+.f64 (sin.f64 y) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (*.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) (+.f64 (sin.f64 y) x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2))
(*.f64 (*.f64 (+.f64 (sin.f64 y) x) (sqrt.f64 (+.f64 (sin.f64 y) x))) (sqrt.f64 (+.f64 (sin.f64 y) x)))
(*.f64 (*.f64 (+.f64 (sin.f64 y) x) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2)) (cbrt.f64 (+.f64 (sin.f64 y) x)))
(*.f64 (/.f64 (*.f64 (+.f64 (sin.f64 y) x) (-.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 (+.f64 (sin.f64 y) x) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))) (-.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (+.f64 (+.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (*.f64 (sin.f64 y) x)))
(*.f64 (/.f64 (*.f64 (+.f64 (sin.f64 y) x) (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (*.f64 x (-.f64 x (sin.f64 y))) (*.f64 x (-.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))))
(*.f64 (/.f64 (*.f64 (+.f64 (sin.f64 y) x) (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 3) (pow.f64 (*.f64 x (-.f64 x (sin.f64 y))) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (*.f64 x (-.f64 x (sin.f64 y))) (*.f64 x (-.f64 x (sin.f64 y)))) (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (+.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))) (+.f64 (sin.f64 y) x))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (+.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (+.f64 (+.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (*.f64 (sin.f64 y) x)))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (+.f64 (sin.f64 y) x)) (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (*.f64 x (-.f64 x (sin.f64 y))) (*.f64 x (-.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (+.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 3) (pow.f64 (*.f64 x (-.f64 x (sin.f64 y))) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (*.f64 x (-.f64 x (sin.f64 y))) (*.f64 x (-.f64 x (sin.f64 y)))) (*.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 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (*.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))) (*.f64 (-.f64 (sin.f64 y) x) (-.f64 (sin.f64 y) x)))
(/.f64 (*.f64 (+.f64 (sin.f64 y) x) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))) (-.f64 (sin.f64 y) x))
(/.f64 (*.f64 (+.f64 (sin.f64 y) x) (+.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) 2) (*.f64 x x)) (+.f64 (sin.f64 y) x)) (-.f64 (sin.f64 y) x))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (+.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (*.f64 (-.f64 (sin.f64 y) x) (+.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 (pow.f64 (sin.f64 y) 2) (*.f64 x x))) (*.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))) (-.f64 (sin.f64 y) x)))
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(exp.f64 (*.f64 2 (log.f64 (+.f64 (sin.f64 y) x))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 (sin.f64 y) x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)))
Outputs
(/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) (-.f64 z x))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (-.f64 z x))
(-.f64 (+.f64 (*.f64 y (-.f64 (*.f64 -2 (/.f64 x (-.f64 z x))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) (pow.f64 (-.f64 z x) 2))))) (/.f64 (pow.f64 z 2) (-.f64 z x))) (/.f64 (pow.f64 x 2) (-.f64 z x)))
(+.f64 (*.f64 y (-.f64 (*.f64 -2 (/.f64 x (-.f64 z x))) (neg.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (pow.f64 (-.f64 z x) 2))))) (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (-.f64 z x)))
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(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y))))) (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (sin.f64 y) x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))) (*.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))) (-.f64 (sin.f64 y) x)))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y))))) (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (sin.f64 y) x)))
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4))
(sqrt.f64 (pow.f64 (+.f64 x (sin.f64 y)) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(pow.f64 (+.f64 x (sin.f64 y)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(pow.f64 (+.f64 x (sin.f64 y)) 2)
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 6))
(cbrt.f64 (pow.f64 (+.f64 x (sin.f64 y)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(pow.f64 (+.f64 x (sin.f64 y)) 2)
(exp.f64 (*.f64 2 (log.f64 (+.f64 (sin.f64 y) x))))
(pow.f64 (exp.f64 2) (log.f64 (+.f64 x (sin.f64 y))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 (sin.f64 y) x))) 1))
(pow.f64 (exp.f64 2) (log.f64 (+.f64 x (sin.f64 y))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(pow.f64 (+.f64 x (sin.f64 y)) 2)

eval477.0ms (4.5%)

Compiler

Compiled 38232 to 14686 computations (61.6% saved)

prune317.0ms (3%)

Pruning

22 alts after pruning (18 fresh and 4 done)

PrunedKeptTotal
New994121006
Fresh4610
Picked101
Done145
Total1000221022
Error
0.0b
Counts
1022 → 22
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)))
15.4b
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) (cbrt.f64 (*.f64 (cos.f64 y) z)) (+.f64 (sin.f64 y) x))
✓0.1b
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
28.5b
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))) 3) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
▶28.0b
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y))) 1/2) (*.f64 z z)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
43.3b
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (-.f64 z x))
51.3b
(/.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
▶0.1b
(-.f64 (+.f64 (*.f64 2 (sin.f64 y)) x) (*.f64 -1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
31.1b
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
17.8b
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
31.6b
(+.f64 (+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)) (sin.f64 y))
0.5b
(+.f64 (+.f64 x (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)) (sin.f64 y))
✓0.1b
(+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (sin.f64 y))
▶30.6b
(+.f64 (+.f64 x (sin.f64 y)) (+.f64 z (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))))
26.6b
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
✓26.2b
(+.f64 (sin.f64 y) x)
✓22.4b
(+.f64 z x)
24.1b
(+.f64 y (+.f64 z x))
▶38.3b
(+.f64 y x)
▶37.3b
(*.f64 (cos.f64 y) z)
51.7b
(sin.f64 y)
36.8b
x
Compiler

Compiled 570 to 373 computations (34.6% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 2 (sin.f64 y)) x)
✓0.0b
(-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
✓0.0b
(-.f64 (+.f64 (*.f64 2 (sin.f64 y)) x) (*.f64 -1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
✓0.1b
(*.f64 (cos.f64 y) z)
Compiler

Compiled 58 to 22 computations (62.1% saved)

series37.0ms (0.3%)

Counts
4 → 60
Calls

27 calls:

TimeVariablePointExpression
29.0ms
y
@0
(*.f64 (cos.f64 y) z)
1.0ms
y
@inf
(-.f64 (+.f64 (*.f64 2 (sin.f64 y)) x) (*.f64 -1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
1.0ms
y
@-inf
(-.f64 (+.f64 (*.f64 2 (sin.f64 y)) x) (*.f64 -1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
0.0ms
x
@0
(-.f64 (+.f64 (*.f64 2 (sin.f64 y)) x) (*.f64 -1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
0.0ms
z
@0
(-.f64 (+.f64 (*.f64 2 (sin.f64 y)) x) (*.f64 -1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))

rewrite147.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1822×associate-*l/
554×associate-/r*
540×associate-+l+
368×add-sqr-sqrt
360×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01684
135384
2487484
Stop Event
1×node limit
Counts
4 → 414
Calls
Call 1
Inputs
(*.f64 (cos.f64 y) z)
(-.f64 (+.f64 (*.f64 2 (sin.f64 y)) x) (*.f64 -1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 2 (sin.f64 y)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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 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 (*.f64 (cos.f64 y) z) (+.f64 (neg.f64 (sin.f64 y)) (fma.f64 2 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 (neg.f64 (sin.f64 y)) 1) (fma.f64 2 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (sin.f64 y)) (+.f64 x (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (sin.f64 y)) (*.f64 (+.f64 x (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (sin.f64 y)) (+.f64 (*.f64 (+.f64 x (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) 1) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) -1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (sin.f64 y)) (+.f64 (*.f64 (+.f64 x (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) 1) (fma.f64 1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (sin.f64 y)) (+.f64 (*.f64 (+.f64 x (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) 1) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (sin.f64 y)) (+.f64 (*.f64 (+.f64 x (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) 1) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (sin.f64 y)) (+.f64 (*.f64 (+.f64 x (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) 1) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) 2) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.f64 2 (sin.f64 y)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (+.f64 (*.f64 2 (sin.f64 y)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) 2) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2 (sin.f64 y) x) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2 (sin.f64 y) x) (+.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) -1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2 (sin.f64 y) x) (+.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (fma.f64 1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2 (sin.f64 y) x) (+.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (sin.f64 y)) (fma.f64 2 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sin.f64 y)) (fma.f64 2 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (+.f64 (fma.f64 2 (sin.f64 y) x) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) -1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (+.f64 (fma.f64 2 (sin.f64 y) x) (fma.f64 1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (+.f64 (fma.f64 2 (sin.f64 y) x) (fma.f64 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(*.f64 2 (sin.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 2 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 2 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (sin.f64 y))) (sqrt.f64 (*.f64 2 (sin.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 2 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sin.f64 y))) 2) (cbrt.f64 (*.f64 2 (sin.f64 y))) x)))))

simplify239.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1254×associate-*r*
1242×associate-*l*
1186×associate-/l*
1040×associate-+l+
956×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
099733340
1276333124
Stop Event
1×node limit
Counts
474 → 662
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 x (*.f64 -1 z))
(-.f64 (+.f64 y x) (*.f64 -1 z))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y x)) (*.f64 -1 z))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y x))) (*.f64 -1 z))
(-.f64 (*.f64 2 (sin.f64 y)) (*.f64 -1 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(-.f64 (+.f64 (*.f64 2 (sin.f64 y)) x) (*.f64 -1 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(-.f64 (+.f64 (*.f64 2 (sin.f64 y)) x) (*.f64 -1 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(-.f64 (+.f64 (*.f64 2 (sin.f64 y)) x) (*.f64 -1 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
x
(-.f64 (+.f64 (*.f64 2 (sin.f64 y)) x) (*.f64 -1 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(-.f64 (+.f64 (*.f64 2 (sin.f64 y)) x) (*.f64 -1 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(-.f64 (+.f64 (*.f64 2 (sin.f64 y)) x) (*.f64 -1 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
x
(-.f64 (+.f64 (*.f64 2 (sin.f64 y)) x) (sin.f64 y))
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(*.f64 (cos.f64 y) z)
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(*.f64 (cos.f64 y) z)
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
z
(+.f64 z (*.f64 -1 y))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 -1 y)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (*.f64 -1 y) (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 -1 (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 -1 (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 -1 (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 -1 (sin.f64 y)))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 -1 (sin.f64 y)) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 -1 (sin.f64 y)) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 -1 (sin.f64 y)) (*.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
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(+.f64 (*.f64 -1 (sin.f64 y)) (*.f64 (cos.f64 y) z))
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x
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(*.f64 2 (sin.f64 y))
x
x
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(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) -1) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z (sin.f64 y))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z (sin.f64 y))))))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))) 1) (fma.f64 (cos.f64 y) z (sin.f64 y)))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))) (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))) (*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))) (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3))) 1) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z (sin.f64 y)))))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z (sin.f64 y)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z (sin.f64 y))))))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z (sin.f64 y))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z (sin.f64 y))))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 3) 1/3)
(neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(exp.f64 (log.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(fma.f64 (cos.f64 y) z (neg.f64 (sin.f64 y)))
(fma.f64 z (cos.f64 y) (neg.f64 (sin.f64 y)))
(fma.f64 1 (*.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (sin.f64 y)))) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 2 (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (sin.f64 y) x))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (-.f64 (*.f64 2 (sin.f64 y)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 2 (sin.f64 y)) x)))
(-.f64 (+.f64 (*.f64 2 (sin.f64 y)) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (*.f64 2 (sin.f64 y))))) 1)
(*.f64 (fma.f64 2 (sin.f64 y) x) 1)
(*.f64 1 (fma.f64 2 (sin.f64 y) x))
(*.f64 (sqrt.f64 (fma.f64 2 (sin.f64 y) x)) (sqrt.f64 (fma.f64 2 (sin.f64 y) x)))
(*.f64 (cbrt.f64 (fma.f64 2 (sin.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 2 (sin.f64 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (sin.f64 y) x)) 2) (cbrt.f64 (fma.f64 2 (sin.f64 y) x)))
(*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 2 (sin.f64 y)) x)))
(*.f64 (+.f64 (*.f64 8 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x (-.f64 x (*.f64 2 (sin.f64 y)))))))
(/.f64 1 (/.f64 (-.f64 (*.f64 2 (sin.f64 y)) x) (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x (-.f64 x (*.f64 2 (sin.f64 y))))) (+.f64 (*.f64 8 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x x)) (-.f64 (*.f64 2 (sin.f64 y)) x))
(/.f64 (+.f64 (*.f64 8 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x (-.f64 x (*.f64 2 (sin.f64 y))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (sin.f64 y) 2) 4)) (-.f64 x (*.f64 2 (sin.f64 y))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 2 (sin.f64 y)) x)))
(/.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x (-.f64 x (*.f64 2 (sin.f64 y)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x x)) 1) (-.f64 (*.f64 2 (sin.f64 y)) x))
(/.f64 (*.f64 (+.f64 (*.f64 8 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3)) 1) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x (-.f64 x (*.f64 2 (sin.f64 y))))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (sin.f64 y) 2) 4)) 1) (-.f64 x (*.f64 2 (sin.f64 y))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x x))) 1) (neg.f64 (-.f64 (*.f64 2 (sin.f64 y)) x)))
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3))) 1) (neg.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x (-.f64 x (*.f64 2 (sin.f64 y)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 8 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3))) (sqrt.f64 (fma.f64 2 (sin.f64 y) x))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x (-.f64 x (*.f64 2 (sin.f64 y)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x x))) (sqrt.f64 (fma.f64 2 (sin.f64 y) x))) (sqrt.f64 (-.f64 (*.f64 2 (sin.f64 y)) x)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (fma.f64 2 (sin.f64 y) x)) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x (-.f64 x (*.f64 2 (sin.f64 y)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x x))) (pow.f64 (cbrt.f64 (fma.f64 2 (sin.f64 y) x)) 2)) (cbrt.f64 (-.f64 (*.f64 2 (sin.f64 y)) x)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 (pow.f64 (sin.f64 y) 2) 4)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (-.f64 (*.f64 2 (sin.f64 y)) x))) (+.f64 (*.f64 x x) (*.f64 (pow.f64 (sin.f64 y) 2) 4)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) 3) (pow.f64 (*.f64 x x) 3)) (/.f64 1 (-.f64 (*.f64 2 (sin.f64 y)) x))) (+.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 (pow.f64 (sin.f64 y) 2) 4)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 8 (pow.f64 (sin.f64 y) 3)) (*.f64 8 (pow.f64 (sin.f64 y) 3))) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (/.f64 1 (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x (-.f64 x (*.f64 2 (sin.f64 y))))))) (-.f64 (*.f64 8 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 8 (pow.f64 (sin.f64 y) 3)) 3) (pow.f64 (pow.f64 x 3) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x (-.f64 x (*.f64 2 (sin.f64 y))))))) (+.f64 (*.f64 (*.f64 8 (pow.f64 (sin.f64 y) 3)) (*.f64 8 (pow.f64 (sin.f64 y) 3))) (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (*.f64 8 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x x)) 1) (-.f64 (*.f64 2 (sin.f64 y)) x))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x x)) (sqrt.f64 (-.f64 (*.f64 2 (sin.f64 y)) x))) (sqrt.f64 (-.f64 (*.f64 2 (sin.f64 y)) x)))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x x)) (*.f64 (cbrt.f64 (-.f64 (*.f64 2 (sin.f64 y)) x)) (cbrt.f64 (-.f64 (*.f64 2 (sin.f64 y)) x)))) (cbrt.f64 (-.f64 (*.f64 2 (sin.f64 y)) x)))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 2 (sin.f64 y))))) (-.f64 (sqrt.f64 (*.f64 2 (sin.f64 y))) (sqrt.f64 x)))
(/.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3)) 1) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x (-.f64 x (*.f64 2 (sin.f64 y))))))
(/.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x (-.f64 x (*.f64 2 (sin.f64 y))))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x (-.f64 x (*.f64 2 (sin.f64 y)))))))
(/.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x (-.f64 x (*.f64 2 (sin.f64 y)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x (-.f64 x (*.f64 2 (sin.f64 y)))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x (-.f64 x (*.f64 2 (sin.f64 y)))))))
(pow.f64 (fma.f64 2 (sin.f64 y) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 2 (sin.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 2 (sin.f64 y) x)) 3)
(pow.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 2))
(log.f64 (exp.f64 (fma.f64 2 (sin.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (sin.f64 y) x))))
(cbrt.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (sin.f64 y) x)))
(exp.f64 (log.f64 (fma.f64 2 (sin.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (sin.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 2 (sin.f64 y) x)))
(fma.f64 2 (sin.f64 y) x)
(fma.f64 (sin.f64 y) 2 x)
(fma.f64 1 (*.f64 2 (sin.f64 y)) x)
(fma.f64 1 x (*.f64 2 (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 2 (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 2 (sin.f64 y))) (sqrt.f64 (*.f64 2 (sin.f64 y))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 2 (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sin.f64 y))) 2) (cbrt.f64 (*.f64 2 (sin.f64 y))) x)
Outputs
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)
(fma.f64 -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))))
(+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y z)) z) (*.f64 (pow.f64 y 4) (*.f64 z 1/24)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (*.f64 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)) (+.f64 z (*.f64 (pow.f64 y 4) (*.f64 z 1/24)))))
(*.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 x (*.f64 -1 z))
(-.f64 x (neg.f64 z))
(-.f64 (+.f64 y x) (*.f64 -1 z))
(+.f64 y (-.f64 x (neg.f64 z)))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y x)) (*.f64 -1 z))
(-.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y x)) (neg.f64 z))
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y z)) (+.f64 y x)) (neg.f64 z))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y x))) (*.f64 -1 z))
(-.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y x))) (neg.f64 z))
(-.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 y (*.f64 y z)) (+.f64 y x))) (neg.f64 z))
(-.f64 (*.f64 2 (sin.f64 y)) (*.f64 -1 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(fma.f64 2 (sin.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) (neg.f64 (sin.f64 y))))
(-.f64 (+.f64 (*.f64 2 (sin.f64 y)) x) (*.f64 -1 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(fma.f64 (cos.f64 y) z (-.f64 (fma.f64 2 (sin.f64 y) x) (sin.f64 y)))
(-.f64 (+.f64 (*.f64 2 (sin.f64 y)) x) (*.f64 -1 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(fma.f64 (cos.f64 y) z (-.f64 (fma.f64 2 (sin.f64 y) x) (sin.f64 y)))
(-.f64 (+.f64 (*.f64 2 (sin.f64 y)) x) (*.f64 -1 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(fma.f64 (cos.f64 y) z (-.f64 (fma.f64 2 (sin.f64 y) x) (sin.f64 y)))
x
(-.f64 (+.f64 (*.f64 2 (sin.f64 y)) x) (*.f64 -1 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(fma.f64 (cos.f64 y) z (-.f64 (fma.f64 2 (sin.f64 y) x) (sin.f64 y)))
(-.f64 (+.f64 (*.f64 2 (sin.f64 y)) x) (*.f64 -1 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(fma.f64 (cos.f64 y) z (-.f64 (fma.f64 2 (sin.f64 y) x) (sin.f64 y)))
(-.f64 (+.f64 (*.f64 2 (sin.f64 y)) x) (*.f64 -1 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(fma.f64 (cos.f64 y) z (-.f64 (fma.f64 2 (sin.f64 y) x) (sin.f64 y)))
x
(-.f64 (+.f64 (*.f64 2 (sin.f64 y)) x) (sin.f64 y))
(-.f64 (fma.f64 2 (sin.f64 y) x) (sin.f64 y))
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(fma.f64 (cos.f64 y) z (-.f64 (fma.f64 2 (sin.f64 y) x) (sin.f64 y)))
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(fma.f64 (cos.f64 y) z (-.f64 (fma.f64 2 (sin.f64 y) x) (sin.f64 y)))
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
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(/.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x (-.f64 x (*.f64 2 (sin.f64 y))))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x (-.f64 x (*.f64 2 (sin.f64 y)))))))
(/.f64 (fma.f64 8 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 y) 2) 4 (*.f64 x (+.f64 x (*.f64 -2 (sin.f64 y)))))) (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 y) 2) 4 (*.f64 x (+.f64 x (*.f64 -2 (sin.f64 y))))))))
(/.f64 (fma.f64 8 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 y) 2) 4 (*.f64 x (+.f64 x (*.f64 (sin.f64 y) -2))))) (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 y) 2) 4 (*.f64 x (+.f64 x (*.f64 (sin.f64 y) -2)))))))
(/.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x (-.f64 x (*.f64 2 (sin.f64 y)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x (-.f64 x (*.f64 2 (sin.f64 y)))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) (*.f64 x (-.f64 x (*.f64 2 (sin.f64 y)))))))
(/.f64 (fma.f64 8 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (sin.f64 y) 2) 4 (*.f64 x (+.f64 x (*.f64 -2 (sin.f64 y)))))) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (sin.f64 y) 2) 4 (*.f64 x (+.f64 x (*.f64 -2 (sin.f64 y)))))) (cbrt.f64 (fma.f64 (pow.f64 (sin.f64 y) 2) 4 (*.f64 x (+.f64 x (*.f64 -2 (sin.f64 y)))))))))
(/.f64 (fma.f64 8 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (sin.f64 y) 2) 4 (*.f64 x (+.f64 x (*.f64 (sin.f64 y) -2))))) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (sin.f64 y) 2) 4 (*.f64 x (+.f64 x (*.f64 (sin.f64 y) -2))))) (cbrt.f64 (fma.f64 (pow.f64 (sin.f64 y) 2) 4 (*.f64 x (+.f64 x (*.f64 (sin.f64 y) -2))))))))
(pow.f64 (fma.f64 2 (sin.f64 y) x) 1)
(fma.f64 2 (sin.f64 y) x)
(pow.f64 (sqrt.f64 (fma.f64 2 (sin.f64 y) x)) 2)
(fma.f64 2 (sin.f64 y) x)
(pow.f64 (cbrt.f64 (fma.f64 2 (sin.f64 y) x)) 3)
(fma.f64 2 (sin.f64 y) x)
(pow.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 3) 1/3)
(fma.f64 2 (sin.f64 y) x)
(sqrt.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 2))
(log.f64 (exp.f64 (fma.f64 2 (sin.f64 y) x)))
(fma.f64 2 (sin.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (sin.f64 y) x))))
(fma.f64 2 (sin.f64 y) x)
(cbrt.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 3))
(fma.f64 2 (sin.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 2 (sin.f64 y) x)))
(fma.f64 2 (sin.f64 y) x)
(exp.f64 (log.f64 (fma.f64 2 (sin.f64 y) x)))
(fma.f64 2 (sin.f64 y) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (sin.f64 y) x)) 1))
(fma.f64 2 (sin.f64 y) x)
(log1p.f64 (expm1.f64 (fma.f64 2 (sin.f64 y) x)))
(fma.f64 2 (sin.f64 y) x)
(fma.f64 2 (sin.f64 y) x)
(fma.f64 (sin.f64 y) 2 x)
(fma.f64 2 (sin.f64 y) x)
(fma.f64 1 (*.f64 2 (sin.f64 y)) x)
(fma.f64 2 (sin.f64 y) x)
(fma.f64 1 x (*.f64 2 (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 2 (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 2 (sin.f64 y))) (sqrt.f64 (*.f64 2 (sin.f64 y))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 2 (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sin.f64 y))) 2) (cbrt.f64 (*.f64 2 (sin.f64 y))) x)

localize3.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 11 to 5 computations (54.5% saved)

localize69.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 z (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
0.1b
(*.f64 1/24 (pow.f64 y 4))
✓7.8b
(*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))
✓12.8b
(fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))
Compiler

Compiled 81 to 45 computations (44.4% saved)

series5.0ms (0%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))
0.0ms
z
@-inf
(*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))
0.0ms
z
@inf
(*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))
0.0ms
y
@0
(fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))
0.0ms
y
@inf
(fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))

rewrite102.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1056×unswap-sqr
778×swap-sqr
724×distribute-rgt-in
682×distribute-lft-in
468×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01499
129695
2354195
Stop Event
1×node limit
Counts
3 → 168
Calls
Call 1
Inputs
(fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))
(*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 z (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/24 (pow.f64 y 4)) (*.f64 -1/2 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/24 (pow.f64 y 4)) (*.f64 (*.f64 -1/2 (*.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 1/24 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1) (*.f64 1/24 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1)) (*.f64 1/24 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1) 1) (*.f64 1/24 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/24 (pow.f64 y 4)))) (-.f64 1 (*.f64 -1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) (exp.f64 (log1p.f64 (*.f64 1/24 (pow.f64 y 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1) (exp.f64 (log1p.f64 (*.f64 1/24 (pow.f64 y 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/24) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 (*.f64 y y) 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y y) (+.f64 (*.f64 1/24 (*.f64 y y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 1/24 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) (sqrt.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))) (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))) (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))) (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 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(*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 1/24 (pow.f64 y 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 -1/576 (pow.f64 y 8)))) (+.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/24 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 1/24 (pow.f64 y 4)) 3) (pow.f64 (*.f64 -1/2 (*.f64 y y)) 3))) (+.f64 (*.f64 (pow.f64 y 4) 1/4) (-.f64 (*.f64 (pow.f64 y 8) 1/576) (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 1/24 (pow.f64 y 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 -1/576 (pow.f64 y 8))) 1) (+.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/24 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 1/24 (pow.f64 y 4)) 3) (pow.f64 (*.f64 -1/2 (*.f64 y y)) 3)) 1) (+.f64 (*.f64 (pow.f64 y 4) 1/4) (-.f64 (*.f64 (pow.f64 y 8) 1/576) (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 1/24 (pow.f64 y 4))))))))) (#(struct:change 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simplify149.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
964×associate-/r/
856×associate-*r*
836×associate-*l*
704×+-commutative
666×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044314336
1125213782
2565313764
Stop Event
1×node limit
Counts
228 → 260
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 y 2))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))
(*.f64 1/24 (pow.f64 y 4))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))
(*.f64 1/24 (pow.f64 y 4))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))
(*.f64 1/24 (*.f64 (pow.f64 y 4) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))
(*.f64 1/24 (*.f64 (pow.f64 y 4) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) 1)))
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) 1)))
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) 1)))
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) 1)))
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 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(*.f64 1/24 (*.f64 (pow.f64 y 4) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) 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 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(*.f64 1/24 (*.f64 (pow.f64 y 4) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) 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 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (*.f64 1/24 (pow.f64 y 4)) (*.f64 -1/2 (*.f64 y y)))
(+.f64 (*.f64 1/24 (pow.f64 y 4)) (*.f64 (*.f64 -1/2 (*.f64 y y)) 1))
(+.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 1/24 (pow.f64 y 4)))
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1) (*.f64 1/24 (pow.f64 y 4)))
(+.f64 (*.f64 1 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1)) (*.f64 1/24 (pow.f64 y 4)))
(+.f64 (*.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1) 1) (*.f64 1/24 (pow.f64 y 4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/24 (pow.f64 y 4)))) (-.f64 1 (*.f64 -1/2 (*.f64 y y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))) 1)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) (exp.f64 (log1p.f64 (*.f64 1/24 (pow.f64 y 4))))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1) (exp.f64 (log1p.f64 (*.f64 1/24 (pow.f64 y 4))))) 1)
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(/.f64 (/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z) 2)) (*.f64 (cbrt.f64 (-.f64 z (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z))) (cbrt.f64 (-.f64 z (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z))))) (cbrt.f64 (-.f64 z (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z))))
(/.f64 (/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z) 2)) (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z))))
(/.f64 (/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z) 3)) 1) (fma.f64 z z (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z) (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z) z))))
(/.f64 (/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z) 3)) (sqrt.f64 (fma.f64 z z (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z) (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z) z))))) (sqrt.f64 (fma.f64 z z (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z) (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z) z)))))
(/.f64 (/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z) 3)) (*.f64 (cbrt.f64 (fma.f64 z z (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z) (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z) z)))) (cbrt.f64 (fma.f64 z z (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z) (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z) z)))))) (cbrt.f64 (fma.f64 z z (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z) (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z) z)))))
(pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z z) 1)
(pow.f64 (sqrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z z)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z z)) 3)
(pow.f64 (pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z z) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z) 2)) (*.f64 z (neg.f64 (-.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z) 3)) (neg.f64 (fma.f64 z z (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z) (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z) z))))))
(sqrt.f64 (pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z z) 2))
(log.f64 (exp.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z z)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z z))))
(cbrt.f64 (pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z z) 3))
(expm1.f64 (log1p.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z z)))
(exp.f64 (log.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z z)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z z)))
(fma.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z z)
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z)
(fma.f64 1 z (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z))
(fma.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z))
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z)) (sqrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z)) z)
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z)) 2) (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z)) z)
Outputs
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 -1/2 (*.f64 y y))
(*.f64 y (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))
(fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))
(fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))
(fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))
(fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))
(fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))
(fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y)))
(*.f64 1/24 (pow.f64 y 4))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))
(fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))
(fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))
(fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))
(fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))
(fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))
(fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y)))
(*.f64 1/24 (pow.f64 y 4))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))
(fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))
(fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))
(fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))
(fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))
(fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))
(fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y)))
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))))
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))))
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))))
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))))
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))))
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))))
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))))
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))))
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))))
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))))
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))))
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 (*.f64 z -1/2) (*.f64 y y))
(*.f64 (*.f64 -1/2 y) (*.f64 y z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))))
(*.f64 1/24 (*.f64 (pow.f64 y 4) z))
(*.f64 (*.f64 z 1/24) (pow.f64 y 4))
(*.f64 (pow.f64 y 4) (*.f64 1/24 z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))))
(*.f64 1/24 (*.f64 (pow.f64 y 4) z))
(*.f64 (*.f64 z 1/24) (pow.f64 y 4))
(*.f64 (pow.f64 y 4) (*.f64 1/24 z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))))
(*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))))
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 z (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))) z)
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 z (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))) z)
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 z (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))) z)
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 z (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))) z)
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 z (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))) z)
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 z (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))) z)
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 z (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))) z)
(*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.f64 z (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))) z)
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) 1)))
(neg.f64 (*.f64 z (fma.f64 -1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))) -1)))
(*.f64 z (neg.f64 (fma.f64 -1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))) -1)))
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(/.f64 (-.f64 (pow.f64 (*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y)))) 2) (*.f64 z z)) (-.f64 (*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y)))) z))
(/.f64 (neg.f64 (-.f64 z (/.f64 (pow.f64 (*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y)))) 2) z))) (+.f64 -1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z) 3)) (neg.f64 (fma.f64 z z (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z) (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z) z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))) (*.f64 z (-.f64 (*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y)))) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))) (*.f64 z (-.f64 (*.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y)))) z)))))
(sqrt.f64 (pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z z) 2))
(sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))) z) 2))
(fabs.f64 (fma.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))) z))
(log.f64 (exp.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z z)))
(*.f64 z (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))) z)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z z))))
(*.f64 z (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))) z)
(cbrt.f64 (pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z z) 3))
(*.f64 z (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))) z)
(expm1.f64 (log1p.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z z)))
(*.f64 z (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))) z)
(exp.f64 (log.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z z)))
(*.f64 z (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))) z)
(exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z z)) 1))
(*.f64 z (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))) z)
(log1p.f64 (expm1.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z z)))
(*.f64 z (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))) z)
(fma.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z z)
(*.f64 z (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))) z)
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z)
(*.f64 z (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))) z)
(fma.f64 1 z (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z))
(*.f64 z (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))) z)
(fma.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z) z)
(*.f64 z (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z))
(*.f64 z (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))) z)
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z)) (sqrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z)) z)
(*.f64 z (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))) z)
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z))
(*.f64 z (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z)) 2) (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) z)) z)
(*.f64 z (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 -1/2 y))) z)

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (+.f64 (sin.f64 y) x) 2)
✓0.4b
(+.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y))) 1/2)
✓3.2b
(-.f64 (*.f64 (+.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y))) 1/2) (*.f64 z z)) (pow.f64 (+.f64 (sin.f64 y) x) 2))
✓26.1b
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y))) 1/2) (*.f64 z z)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
Compiler

Compiled 119 to 61 computations (48.7% saved)

series16.0ms (0.2%)

Counts
3 → 84
Calls

21 calls:

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

rewrite112.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
596×associate-+l+
520×add-sqr-sqrt
510×*-un-lft-identity
508×pow1
482×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022157
149773
2721273
Stop Event
1×node limit
Counts
3 → 164
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y))) 1/2) (*.f64 z z)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(-.f64 (*.f64 (+.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y))) 1/2) (*.f64 z z)) (pow.f64 (+.f64 (sin.f64 y) x) 2))
(+.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y))) 1/2)
Outputs
((#(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 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (fma.f64 z (cos.f64 y) (neg.f64 (+.f64 (sin.f64 y) x)))) (neg.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (fma.f64 z (cos.f64 y) (neg.f64 (+.f64 (sin.f64 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 z (cos.f64 y))) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (fma.f64 z (cos.f64 y) (neg.f64 (+.f64 (sin.f64 y) x))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (fma.f64 z (cos.f64 y) (neg.f64 (+.f64 (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (fma.f64 z (cos.f64 y) (neg.f64 (+.f64 (sin.f64 y) x)))) (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (fma.f64 z (cos.f64 y) (neg.f64 (+.f64 (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (/.f64 1 (fma.f64 z (cos.f64 y) (neg.f64 (+.f64 (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))) (/.f64 1 (fma.f64 z (cos.f64 y) (neg.f64 (+.f64 (sin.f64 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) 2)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))) (/.f64 1 (fma.f64 z (cos.f64 y) (neg.f64 (+.f64 (sin.f64 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (neg.f64 (+.f64 (sin.f64 y) x)))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))) (/.f64 1 (neg.f64 (fma.f64 z (cos.f64 y) (neg.f64 (+.f64 (sin.f64 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (cos.f64 y) (neg.f64 (+.f64 (sin.f64 y) x))))) (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (sqrt.f64 (fma.f64 z (cos.f64 y) (neg.f64 (+.f64 (sin.f64 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (neg.f64 (+.f64 (sin.f64 y) x))) 2))) (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (cbrt.f64 (fma.f64 z (cos.f64 y) (neg.f64 (+.f64 (sin.f64 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 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simplify161.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
860×associate-+r-
762×fma-def
716×associate-*r*
606×+-commutative
586×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061118162
1179816592
2776116500
Stop Event
1×node limit
Counts
248 → 346
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) (-.f64 z x))
(-.f64 (+.f64 (*.f64 y (-.f64 (*.f64 -2 (/.f64 x (-.f64 z x))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) (pow.f64 (-.f64 z x) 2))))) (/.f64 (pow.f64 z 2) (-.f64 z x))) (/.f64 (pow.f64 x 2) (-.f64 z x)))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (-.f64 z x))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) z) (pow.f64 (-.f64 z x) 2))) (+.f64 (/.f64 1 (-.f64 z x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (/.f64 x (-.f64 z x))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) (pow.f64 (-.f64 z x) 2)))) (-.f64 z x)))))) (pow.f64 y 2)) (+.f64 (*.f64 y (-.f64 (*.f64 -2 (/.f64 x (-.f64 z x))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) (pow.f64 (-.f64 z x) 2))))) (/.f64 (pow.f64 z 2) (-.f64 z x)))) (/.f64 (pow.f64 x 2) (-.f64 z x)))
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(+.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)) 1 (pow.f64 (+.f64 (sin.f64 y) x) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2)) (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4)) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(+.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2)) (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2)) (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4)) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(+.f64 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)) (pow.f64 (*.f64 z (cos.f64 y)) 2))
(+.f64 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (fma.f64 (neg.f64 (+.f64 (sin.f64 y) x)) (+.f64 (sin.f64 y) x) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(+.f64 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (fma.f64 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)) 1 (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(+.f64 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2)) (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4)) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(+.f64 (*.f64 (*.f64 z z) 1/2) (+.f64 (*.f64 (*.f64 z z) (*.f64 1/2 (cos.f64 (*.f64 2 y)))) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(+.f64 (*.f64 (*.f64 z z) 1/2) (+.f64 (*.f64 (*.f64 z z) (*.f64 1/2 (cos.f64 (*.f64 2 y)))) (*.f64 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)) 1)))
(+.f64 (*.f64 (*.f64 z z) (*.f64 1/2 (cos.f64 (*.f64 2 y)))) (+.f64 (*.f64 (*.f64 z z) 1/2) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(+.f64 (*.f64 (*.f64 z z) (*.f64 1/2 (cos.f64 (*.f64 2 y)))) (+.f64 (*.f64 (*.f64 z z) 1/2) (*.f64 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)) 1)))
(+.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)) 1) (pow.f64 (*.f64 z (cos.f64 y)) 2))
(+.f64 (*.f64 1/2 (*.f64 z z)) (+.f64 (*.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y))) (*.f64 z z)) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(+.f64 (*.f64 1/2 (*.f64 z z)) (+.f64 (*.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y))) (*.f64 z z)) (*.f64 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)) 1)))
(+.f64 (*.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y))) (*.f64 z z)) (+.f64 (*.f64 1/2 (*.f64 z z)) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(+.f64 (*.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y))) (*.f64 z z)) (+.f64 (*.f64 1/2 (*.f64 z z)) (*.f64 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)) 1)))
(+.f64 (fma.f64 (neg.f64 (+.f64 (sin.f64 y) x)) (+.f64 (sin.f64 y) x) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)) 1 (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2)) (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(+.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)) (*.f64 (*.f64 z z) 1/2)) (*.f64 (*.f64 z z) (*.f64 1/2 (cos.f64 (*.f64 2 y)))))
(+.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)) (*.f64 (*.f64 z z) (*.f64 1/2 (cos.f64 (*.f64 2 y))))) (*.f64 (*.f64 z z) 1/2))
(+.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)) (*.f64 1/2 (*.f64 z z))) (*.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y))) (*.f64 z z)))
(+.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)) (*.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y))) (*.f64 z z))) (*.f64 1/2 (*.f64 z z)))
(*.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) 1)
(*.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) (fma.f64 z (cos.f64 y) (neg.f64 (+.f64 (sin.f64 y) x))))
(*.f64 1 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) 2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 2) (pow.f64 (+.f64 (sin.f64 y) x) 4)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 3) (pow.f64 (+.f64 (sin.f64 y) x) 6)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) (+.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 2) (pow.f64 (+.f64 (sin.f64 y) x) 4))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) (+.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 2))) (-.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 3) (pow.f64 (+.f64 (sin.f64 y) x) 6))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 2) (pow.f64 (+.f64 (sin.f64 y) x) 4)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 3) (pow.f64 (+.f64 (sin.f64 y) x) 6)) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) (+.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 2) (pow.f64 (+.f64 (sin.f64 y) x) 4))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 3) (pow.f64 (+.f64 (sin.f64 y) x) 6))) (neg.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) (+.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 2) (*.f64 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 3) (pow.f64 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)) 3)) (+.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 2) (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2))) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2))))))
(pow.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) 1)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))) 2)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(fma.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(fma.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y)) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(fma.f64 1 (pow.f64 (*.f64 z (cos.f64 y)) 2) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 2) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) 2) z) z (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) 1)
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2)) (fma.f64 1/2 (cos.f64 (*.f64 2 y)) -1/2)) (/.f64 1/4 (fma.f64 1/2 (cos.f64 (*.f64 2 y)) -1/2)))
(*.f64 (pow.f64 (cos.f64 y) 2) 1)
(*.f64 (cos.f64 y) (cos.f64 y))
(*.f64 1 (pow.f64 (cos.f64 y) 2))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) 2))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (cos.f64 y)) (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2)) -1/4) (/.f64 1 (fma.f64 1/2 (cos.f64 (*.f64 2 y)) -1/2)))
(*.f64 (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (*.f64 2 y)) 3))) (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2)) (-.f64 1/4 (*.f64 (cos.f64 (*.f64 2 y)) 1/4)))))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (cos.f64 y) (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
(*.f64 (+.f64 (cos.f64 (*.f64 2 y)) 1) 1/2)
(/.f64 1 (/.f64 (fma.f64 1/2 (cos.f64 (*.f64 2 y)) -1/2) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2)) -1/4)))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2)) (-.f64 1/4 (*.f64 (cos.f64 (*.f64 2 y)) 1/4))) (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (*.f64 2 y)) 3)))))
(/.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2)) -1/4) (fma.f64 1/2 (cos.f64 (*.f64 2 y)) -1/2))
(/.f64 (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (*.f64 2 y)) 3))) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2)) (-.f64 1/4 (*.f64 (cos.f64 (*.f64 2 y)) 1/4))))
(/.f64 (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (*.f64 2 y)) 3))) (+.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2)) (*.f64 (cos.f64 (*.f64 2 y)) 1/4))))
(/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2))) (pow.f64 (sin.f64 y) 2))
(/.f64 (neg.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2)) -1/4)) (neg.f64 (fma.f64 1/2 (cos.f64 (*.f64 2 y)) -1/2)))
(/.f64 (neg.f64 (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (*.f64 2 y)) 3)))) (neg.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2)) (-.f64 1/4 (*.f64 (cos.f64 (*.f64 2 y)) 1/4)))))
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1)
(pow.f64 (cos.f64 y) 2)
(pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2))
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 y) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)))
(exp.f64 (log.f64 (pow.f64 (cos.f64 y) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 2)))
(fma.f64 1/2 (cos.f64 (*.f64 2 y)) 1/2)
(fma.f64 (cos.f64 (*.f64 2 y)) 1/2 1/2)
(fma.f64 1 (*.f64 1/2 (cos.f64 (*.f64 2 y))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y)))) (sqrt.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y)))) 1/2)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2))) (cbrt.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y)))) 1/2)
Outputs
(/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) (-.f64 z x))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (-.f64 z x))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(-.f64 (+.f64 (*.f64 y (-.f64 (*.f64 -2 (/.f64 x (-.f64 z x))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) (pow.f64 (-.f64 z x) 2))))) (/.f64 (pow.f64 z 2) (-.f64 z x))) (/.f64 (pow.f64 x 2) (-.f64 z x)))
(+.f64 (*.f64 y (-.f64 (*.f64 -2 (/.f64 x (-.f64 z x))) (neg.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (pow.f64 (-.f64 z x) 2))))) (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (-.f64 z x)))
(fma.f64 y (fma.f64 -2 (/.f64 x (-.f64 z x)) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (pow.f64 (-.f64 z x) 2))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (-.f64 z x))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) z) (pow.f64 (-.f64 z x) 2))) (+.f64 (/.f64 1 (-.f64 z x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (/.f64 x (-.f64 z x))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) (pow.f64 (-.f64 z x) 2)))) (-.f64 z x)))))) (pow.f64 y 2)) (+.f64 (*.f64 y (-.f64 (*.f64 -2 (/.f64 x (-.f64 z x))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) (pow.f64 (-.f64 z x) 2))))) (/.f64 (pow.f64 z 2) (-.f64 z x)))) (/.f64 (pow.f64 x 2) (-.f64 z x)))
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(/.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (+.f64 y y)) 2) -1/4) (fma.f64 1/2 (cos.f64 (+.f64 y y)) -1/2))
(/.f64 (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (*.f64 2 y)) 3))) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2)) (-.f64 1/4 (*.f64 (cos.f64 (*.f64 2 y)) 1/4))))
(*.f64 (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (+.f64 y y)) 3))) (/.f64 1 (fma.f64 1/4 (pow.f64 (cos.f64 (+.f64 y y)) 2) (-.f64 1/4 (*.f64 (cos.f64 (+.f64 y y)) 1/4)))))
(/.f64 (fma.f64 1/8 (pow.f64 (cos.f64 (+.f64 y y)) 3) 1/8) (+.f64 1/4 (*.f64 1/4 (-.f64 (pow.f64 (cos.f64 (+.f64 y y)) 2) (cos.f64 (+.f64 y y))))))
(/.f64 (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (*.f64 2 y)) 3))) (+.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2)) (*.f64 (cos.f64 (*.f64 2 y)) 1/4))))
(*.f64 (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (+.f64 y y)) 3))) (/.f64 1 (fma.f64 1/4 (pow.f64 (cos.f64 (+.f64 y y)) 2) (-.f64 1/4 (*.f64 (cos.f64 (+.f64 y y)) 1/4)))))
(/.f64 (fma.f64 1/8 (pow.f64 (cos.f64 (+.f64 y y)) 3) 1/8) (+.f64 1/4 (*.f64 1/4 (-.f64 (pow.f64 (cos.f64 (+.f64 y y)) 2) (cos.f64 (+.f64 y y))))))
(/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2))) (pow.f64 (sin.f64 y) 2))
(/.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 (+.f64 y y)) 2))) (pow.f64 (sin.f64 y) 2))
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 y y)) 2) -1/4)) (pow.f64 (sin.f64 y) 2))
(/.f64 (neg.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2)) -1/4)) (neg.f64 (fma.f64 1/2 (cos.f64 (*.f64 2 y)) -1/2)))
(/.f64 (neg.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (+.f64 y y)) 2) -1/4)) (neg.f64 (fma.f64 1/2 (cos.f64 (+.f64 y y)) -1/2)))
(*.f64 1 (/.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (+.f64 y y)) 2) -1/4) (fma.f64 1/2 (cos.f64 (+.f64 y y)) -1/2)))
(/.f64 (neg.f64 (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (*.f64 2 y)) 3)))) (neg.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2)) (-.f64 1/4 (*.f64 (cos.f64 (*.f64 2 y)) 1/4)))))
(/.f64 (neg.f64 (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (+.f64 y y)) 3)))) (neg.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (+.f64 y y)) 2) (-.f64 1/4 (*.f64 (cos.f64 (+.f64 y y)) 1/4)))))
(*.f64 1 (/.f64 (fma.f64 1/8 (pow.f64 (cos.f64 (+.f64 y y)) 3) 1/8) (+.f64 1/4 (*.f64 1/4 (-.f64 (pow.f64 (cos.f64 (+.f64 y y)) 2) (cos.f64 (+.f64 y y)))))))
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0)) 2)
(/.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1)
(pow.f64 (cos.f64 y) 2)
(pow.f64 (cos.f64 y) 2)
(pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) 3)
(pow.f64 (cos.f64 y) 2)
(pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) 1/3)
(pow.f64 (cos.f64 y) 2)
(sqrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2))
(sqrt.f64 (pow.f64 (cos.f64 y) 4))
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 y) 2))))
(pow.f64 (cos.f64 y) 2)
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3))
(pow.f64 (cos.f64 y) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 2)
(exp.f64 (log.f64 (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) 2)) 1))
(pow.f64 (cos.f64 y) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 2)
(fma.f64 1/2 (cos.f64 (*.f64 2 y)) 1/2)
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(fma.f64 (cos.f64 (*.f64 2 y)) 1/2 1/2)
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(fma.f64 1 (*.f64 1/2 (cos.f64 (*.f64 2 y))) 1/2)
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(fma.f64 (sqrt.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y)))) (sqrt.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y)))) 1/2)
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2))) (cbrt.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y)))) 1/2)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (cos.f64 (+.f64 y y)) 2))) (cbrt.f64 (*.f64 1/2 (cos.f64 (+.f64 y y)))) 1/2)

eval806.0ms (7.5%)

Compiler

Compiled 52878 to 22619 computations (57.2% saved)

prune495.0ms (4.6%)

Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New137971386
Fresh6713
Picked101
Done268
Total1388201408
Error
0b
Counts
1408 → 20
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 (sin.f64 y) x))
✓0.1b
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
50.8b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
38.4b
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y))) 1/2) (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
43.3b
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (-.f64 z x))
37.5b
(/.f64 (*.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 y)))) z) (cos.f64 y))
▶0.1b
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
▶31.1b
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
17.8b
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
✓0.1b
(+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (sin.f64 y))
30.6b
(+.f64 (+.f64 x (sin.f64 y)) (+.f64 z (*.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/24) -1/2)))))
▶26.6b
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
✓26.2b
(+.f64 (sin.f64 y) x)
✓22.4b
(+.f64 z x)
▶24.1b
(+.f64 y (+.f64 z x))
✓38.3b
(+.f64 y x)
✓37.3b
(*.f64 (cos.f64 y) z)
▶51.7b
(sin.f64 y)
48.1b
z
36.8b
x
Compiler

Compiled 405 to 273 computations (32.6% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 2 (sin.f64 y)) x)
✓0.0b
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 2 (sin.f64 y)) x))
✓0.0b
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
0.1b
(*.f64 (cos.f64 y) z)
Compiler

Compiled 50 to 21 computations (58% saved)

series7.0ms (0.1%)

Counts
2 → 32
Calls

18 calls:

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

rewrite117.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1878×associate-*r/
1560×associate-*l/
598×associate-+l+
376×+-commutative
336×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01460
131360
2440760
Stop Event
1×node limit
Counts
2 → 226
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 2 (sin.f64 y)) x))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 y) z) (fma.f64 2 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 2 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 2 (sin.f64 y) x)) (sqrt.f64 (fma.f64 2 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (fma.f64 2 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (sin.f64 y) x)) 2) (cbrt.f64 (fma.f64 2 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (fma.f64 2 (sin.f64 y) x))))))

simplify161.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1840×associate--r+
788×fma-def
770×associate-+l+
742×associate-+r+
584×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057817124
1154314860
2699314860
Stop Event
1×node limit
Counts
258 → 346
Calls
Call 1
Inputs
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))))
(-.f64 (+.f64 (*.f64 2 (sin.f64 y)) x) (sin.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 2 (sin.f64 y))) (sin.f64 y))
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
x
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
x
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(+.f64 z x)
(+.f64 (*.f64 2 y) (+.f64 z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 2 y) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (+.f64 z x))))
(+.f64 (*.f64 2 (sin.f64 y)) x)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 2 (sin.f64 y)))
x
x
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 2 (sin.f64 y)) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 2 (sin.f64 y)) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 2 (sin.f64 y)) x))
(+.f64 (*.f64 (cos.f64 y) z) (-.f64 (fma.f64 2 (sin.f64 y) x) (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (-.f64 (fma.f64 2 (sin.f64 y) x) (sin.f64 y)) 1))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (fma.f64 2 (sin.f64 y) x) (*.f64 (neg.f64 (sin.f64 y)) 1)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 (-.f64 (fma.f64 2 (sin.f64 y) x) (sin.f64 y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) 1 (sin.f64 y))))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 (-.f64 (fma.f64 2 (sin.f64 y) x) (sin.f64 y)) 1) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (sin.f64 y))))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 (-.f64 (fma.f64 2 (sin.f64 y) x) (sin.f64 y)) 1) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sin.f64 y))))
(+.f64 (*.f64 2 (sin.f64 y)) (+.f64 x (+.f64 (*.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))
(+.f64 (*.f64 2 (sin.f64 y)) (+.f64 x (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(+.f64 (*.f64 2 (sin.f64 y)) (+.f64 (+.f64 (*.f64 (cos.f64 y) z) x) (neg.f64 (sin.f64 y))))
(+.f64 (*.f64 2 (sin.f64 y)) (+.f64 (+.f64 (*.f64 (cos.f64 y) z) x) (*.f64 (neg.f64 (sin.f64 y)) 1)))
(+.f64 (*.f64 2 (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (+.f64 x (neg.f64 (sin.f64 y)))))
(+.f64 (*.f64 2 (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (-.f64 x (sin.f64 y))))
(+.f64 (*.f64 2 (sin.f64 y)) (+.f64 (-.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 2 (sin.f64 y)) (-.f64 (+.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)))
(+.f64 x (+.f64 (*.f64 2 (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))
(+.f64 x (+.f64 (*.f64 2 (sin.f64 y)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(+.f64 x (+.f64 (fma.f64 (cos.f64 y) z (*.f64 2 (sin.f64 y))) (neg.f64 (sin.f64 y))))
(+.f64 x (+.f64 (fma.f64 (cos.f64 y) z (*.f64 2 (sin.f64 y))) (*.f64 (neg.f64 (sin.f64 y)) 1)))
(+.f64 x (+.f64 (-.f64 (*.f64 2 (sin.f64 y)) (sin.f64 y)) (*.f64 (cos.f64 y) z)))
(+.f64 x (-.f64 (fma.f64 (cos.f64 y) z (*.f64 2 (sin.f64 y))) (sin.f64 y)))
(+.f64 (fma.f64 2 (sin.f64 y) x) (+.f64 (*.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))
(+.f64 (fma.f64 2 (sin.f64 y) x) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(+.f64 (fma.f64 2 (sin.f64 y) x) (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (neg.f64 (sin.f64 y)) 1)))
(+.f64 (fma.f64 2 (sin.f64 y) x) (+.f64 (+.f64 (*.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) 1 (sin.f64 y))))
(+.f64 (fma.f64 2 (sin.f64 y) x) (+.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) 1 (sin.f64 y))))
(+.f64 (fma.f64 2 (sin.f64 y) x) (+.f64 (+.f64 (*.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (sin.f64 y))))
(+.f64 (fma.f64 2 (sin.f64 y) x) (+.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (sin.f64 y))))
(+.f64 (fma.f64 2 (sin.f64 y) x) (+.f64 (+.f64 (*.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sin.f64 y))))
(+.f64 (fma.f64 2 (sin.f64 y) x) (+.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sin.f64 y))))
(+.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) (neg.f64 (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) (*.f64 (neg.f64 (sin.f64 y)) 1))
(+.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) (+.f64 (neg.f64 (sin.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) 1 (sin.f64 y))))
(+.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) (+.f64 (*.f64 (neg.f64 (sin.f64 y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) 1 (sin.f64 y))))
(+.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) (+.f64 (neg.f64 (sin.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (sin.f64 y))))
(+.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) (+.f64 (*.f64 (neg.f64 (sin.f64 y)) 1) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (sin.f64 y))))
(+.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) (+.f64 (neg.f64 (sin.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sin.f64 y))))
(+.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) (+.f64 (*.f64 (neg.f64 (sin.f64 y)) 1) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sin.f64 y))))
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) (sin.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) 1 (sin.f64 y)))
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) (sin.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (sin.f64 y)))
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) (sin.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sin.f64 y)))
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) (sin.f64 y)) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) 1 (sin.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) 1 (sin.f64 y))))
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) (sin.f64 y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (sin.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) 1 (sin.f64 y))))
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) (sin.f64 y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sin.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) 1 (sin.f64 y))))
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) (sin.f64 y)) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) 1 (sin.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (sin.f64 y))))
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) (sin.f64 y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (sin.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (sin.f64 y))))
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) (sin.f64 y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sin.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (sin.f64 y))))
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) (sin.f64 y)) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) 1 (sin.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sin.f64 y))))
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) (sin.f64 y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (sin.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sin.f64 y))))
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) (sin.f64 y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sin.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sin.f64 y))))
(+.f64 (fma.f64 (cos.f64 y) z (*.f64 2 (sin.f64 y))) (+.f64 x (neg.f64 (sin.f64 y))))
(+.f64 (fma.f64 (cos.f64 y) z (*.f64 2 (sin.f64 y))) (-.f64 x (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (*.f64 2 (sin.f64 y))) (+.f64 x (*.f64 (neg.f64 (sin.f64 y)) 1)))
(+.f64 (fma.f64 (cos.f64 y) z (*.f64 2 (sin.f64 y))) (+.f64 (+.f64 x (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) 1 (sin.f64 y))))
(+.f64 (fma.f64 (cos.f64 y) z (*.f64 2 (sin.f64 y))) (+.f64 (-.f64 x (sin.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) 1 (sin.f64 y))))
(+.f64 (fma.f64 (cos.f64 y) z (*.f64 2 (sin.f64 y))) (+.f64 (+.f64 x (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (sin.f64 y))))
(+.f64 (fma.f64 (cos.f64 y) z (*.f64 2 (sin.f64 y))) (+.f64 (-.f64 x (sin.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (sin.f64 y))))
(+.f64 (fma.f64 (cos.f64 y) z (*.f64 2 (sin.f64 y))) (+.f64 (+.f64 x (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sin.f64 y))))
(+.f64 (fma.f64 (cos.f64 y) z (*.f64 2 (sin.f64 y))) (+.f64 (-.f64 x (sin.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sin.f64 y))))
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(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (fma.f64 2 (sin.f64 y) x) 3))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (fma.f64 2 (sin.f64 y) x) (-.f64 (fma.f64 2 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (*.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 2) (pow.f64 (fma.f64 2 (sin.f64 y) x) 2))) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) (fma.f64 2 (sin.f64 y) x)))) (+.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 3) (pow.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 2) 3)) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) (fma.f64 2 (sin.f64 y) x)))) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (*.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 2) (pow.f64 (fma.f64 2 (sin.f64 y) x) 2)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (fma.f64 2 (sin.f64 y) x) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (*.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 3) (pow.f64 (fma.f64 2 (sin.f64 y) x) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (fma.f64 2 (sin.f64 y) x) (-.f64 (fma.f64 2 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (fma.f64 2 (sin.f64 y) x) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3) (pow.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (fma.f64 2 (sin.f64 y) x) (-.f64 (fma.f64 2 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (-.f64 (*.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 3) (pow.f64 (fma.f64 2 (sin.f64 y) x) 3)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (fma.f64 2 (sin.f64 y) x) 3)))))
(pow.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x))))
(fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))
(fma.f64 1 (*.f64 (cos.f64 y) z) (fma.f64 2 (sin.f64 y) x))
(fma.f64 1 (fma.f64 2 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (fma.f64 2 (sin.f64 y) x)) (sqrt.f64 (fma.f64 2 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (fma.f64 2 (sin.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (sin.f64 y) x)) 2) (cbrt.f64 (fma.f64 2 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (fma.f64 2 (sin.f64 y) x))
Outputs
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (+.f64 z x) y)
(+.f64 z (+.f64 x y))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 (+.f64 z x) y))
(+.f64 (+.f64 z x) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 (+.f64 z x) y)))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (+.f64 z x) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) y)))
(-.f64 (+.f64 (*.f64 2 (sin.f64 y)) x) (sin.f64 y))
(-.f64 (fma.f64 2 (sin.f64 y) x) (sin.f64 y))
(+.f64 x (sin.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 2 (sin.f64 y))) (sin.f64 y))
(fma.f64 2 (sin.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
x
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
x
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 z x)
(+.f64 (*.f64 2 y) (+.f64 z x))
(fma.f64 2 y (+.f64 z x))
(+.f64 x (fma.f64 y 2 z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 2 y (+.f64 z x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 x (fma.f64 y 2 z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 2 y) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (+.f64 z x))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 2 y (fma.f64 -1/3 (pow.f64 y 3) (+.f64 z x))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 y 2 (+.f64 x (fma.f64 (pow.f64 y 3) -1/3 z))))
(+.f64 (*.f64 2 (sin.f64 y)) x)
(fma.f64 2 (sin.f64 y) x)
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 2 (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 2 (sin.f64 y)))
x
x
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 2 (sin.f64 y)) x))
(fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))
(fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 2 (sin.f64 y)) x))
(fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))
(fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 2 (sin.f64 y)) x))
(fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))
(fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (-.f64 (fma.f64 2 (sin.f64 y) x) (sin.f64 y)))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (-.f64 (fma.f64 2 (sin.f64 y) x) (sin.f64 y)) 1))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (fma.f64 2 (sin.f64 y) x) (*.f64 (neg.f64 (sin.f64 y)) 1)))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 (-.f64 (fma.f64 2 (sin.f64 y) x) (sin.f64 y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) 1 (sin.f64 y))))
(+.f64 (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)) (fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))
(+.f64 (*.f64 0 (sin.f64 y)) (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 (-.f64 (fma.f64 2 (sin.f64 y) x) (sin.f64 y)) 1) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (sin.f64 y)) (fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))
(+.f64 x (+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (sin.f64 y))))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 (-.f64 (fma.f64 2 (sin.f64 y) x) (sin.f64 y)) 1) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sin.f64 y))))
(+.f64 (-.f64 (fma.f64 2 (sin.f64 y) x) (sin.f64 y)) (fma.f64 (cos.f64 y) z (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sin.f64 y))))
(+.f64 x (+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sin.f64 y))))
(+.f64 (*.f64 2 (sin.f64 y)) (+.f64 x (+.f64 (*.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (*.f64 2 (sin.f64 y)) (+.f64 x (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (*.f64 2 (sin.f64 y)) (+.f64 (+.f64 (*.f64 (cos.f64 y) z) x) (neg.f64 (sin.f64 y))))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (*.f64 2 (sin.f64 y)) (+.f64 (+.f64 (*.f64 (cos.f64 y) z) x) (*.f64 (neg.f64 (sin.f64 y)) 1)))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (*.f64 2 (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (+.f64 x (neg.f64 (sin.f64 y)))))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (*.f64 2 (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (-.f64 x (sin.f64 y))))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (*.f64 2 (sin.f64 y)) (+.f64 (-.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (*.f64 2 (sin.f64 y)) (-.f64 (+.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 x (+.f64 (*.f64 2 (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 x (+.f64 (*.f64 2 (sin.f64 y)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 x (+.f64 (fma.f64 (cos.f64 y) z (*.f64 2 (sin.f64 y))) (neg.f64 (sin.f64 y))))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 x (+.f64 (fma.f64 (cos.f64 y) z (*.f64 2 (sin.f64 y))) (*.f64 (neg.f64 (sin.f64 y)) 1)))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 x (+.f64 (-.f64 (*.f64 2 (sin.f64 y)) (sin.f64 y)) (*.f64 (cos.f64 y) z)))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 x (-.f64 (fma.f64 (cos.f64 y) z (*.f64 2 (sin.f64 y))) (sin.f64 y)))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (fma.f64 2 (sin.f64 y) x) (+.f64 (*.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (fma.f64 2 (sin.f64 y) x) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (fma.f64 2 (sin.f64 y) x) (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (neg.f64 (sin.f64 y)) 1)))
(fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (fma.f64 2 (sin.f64 y) x) (+.f64 (+.f64 (*.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) 1 (sin.f64 y))))
(+.f64 (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)) (fma.f64 2 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))
(+.f64 (*.f64 0 (sin.f64 y)) (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))
(+.f64 (fma.f64 2 (sin.f64 y) x) (+.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) 1 (sin.f64 y))))
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(+.f64 (*.f64 0 (sin.f64 y)) (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))
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(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (fma.f64 2 (sin.f64 y) x) 3)) (fma.f64 (fma.f64 2 (sin.f64 y) x) (-.f64 (fma.f64 2 (sin.f64 y) x) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (fma.f64 2 (sin.f64 y) x) 2))) (sqrt.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) z) (fma.f64 2 (sin.f64 y) x))))
(/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))) (/.f64 (sqrt.f64 (-.f64 (*.f64 z (cos.f64 y)) (fma.f64 2 (sin.f64 y) x))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (fma.f64 2 (sin.f64 y) x) 2)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) (sqrt.f64 (-.f64 (*.f64 z (cos.f64 y)) (fma.f64 2 (sin.f64 y) x)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (fma.f64 2 (sin.f64 y) x) 2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (fma.f64 2 (sin.f64 y) x) 3))) (sqrt.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (fma.f64 2 (sin.f64 y) x) (-.f64 (fma.f64 2 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))))
(/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (fma.f64 2 (sin.f64 y) x) (-.f64 (fma.f64 2 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (fma.f64 2 (sin.f64 y) x) 3)))))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 3/2) (pow.f64 (*.f64 z (cos.f64 y)) 3/2)) (sqrt.f64 (fma.f64 (fma.f64 2 (sin.f64 y) x) (-.f64 (fma.f64 2 (sin.f64 y) x) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) (sqrt.f64 (fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (fma.f64 2 (sin.f64 y) x) 2))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x))) 2)) (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) z) (fma.f64 2 (sin.f64 y) x))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))) 2) (/.f64 (cbrt.f64 (-.f64 (*.f64 z (cos.f64 y)) (fma.f64 2 (sin.f64 y) x))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (fma.f64 2 (sin.f64 y) x) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) 2) (cbrt.f64 (-.f64 (*.f64 z (cos.f64 y)) (fma.f64 2 (sin.f64 y) x)))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (fma.f64 2 (sin.f64 y) x) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (fma.f64 2 (sin.f64 y) x) 3))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (fma.f64 2 (sin.f64 y) x) (-.f64 (fma.f64 2 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (fma.f64 2 (sin.f64 y) x) (-.f64 (fma.f64 2 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (fma.f64 2 (sin.f64 y) x) 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) 2) (cbrt.f64 (fma.f64 (fma.f64 2 (sin.f64 y) x) (-.f64 (fma.f64 2 (sin.f64 y) x) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (fma.f64 2 (sin.f64 y) x) 3))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (*.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 2) (pow.f64 (fma.f64 2 (sin.f64 y) x) 2))) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) (fma.f64 2 (sin.f64 y) x)))) (+.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 4) (pow.f64 (fma.f64 2 (sin.f64 y) x) 4)) (/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (fma.f64 2 (sin.f64 y) x) 2)) (/.f64 1 (-.f64 (*.f64 z (cos.f64 y)) (fma.f64 2 (sin.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 4) (pow.f64 (fma.f64 2 (sin.f64 y) x) 4)) (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (fma.f64 2 (sin.f64 y) x) 2)) (-.f64 (*.f64 z (cos.f64 y)) (fma.f64 2 (sin.f64 y) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 3) (pow.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 2) 3)) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) (fma.f64 2 (sin.f64 y) x)))) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (*.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 2) (pow.f64 (fma.f64 2 (sin.f64 y) x) 2)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (fma.f64 2 (sin.f64 y) x) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 2) 3)) (/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 4) (+.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 4) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (fma.f64 2 (sin.f64 y) x) 2)))) (/.f64 1 (-.f64 (*.f64 z (cos.f64 y)) (fma.f64 2 (sin.f64 y) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6) (pow.f64 (fma.f64 2 (sin.f64 y) x) 6)) (-.f64 (*.f64 z (cos.f64 y)) (fma.f64 2 (sin.f64 y) x))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 4) (fma.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (fma.f64 2 (sin.f64 y) x) 2) (pow.f64 (fma.f64 2 (sin.f64 y) x) 4))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (*.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 3) (pow.f64 (fma.f64 2 (sin.f64 y) x) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (fma.f64 2 (sin.f64 y) x) (-.f64 (fma.f64 2 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (fma.f64 2 (sin.f64 y) x) 3)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6) (pow.f64 (fma.f64 2 (sin.f64 y) x) 6)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (fma.f64 2 (sin.f64 y) x) (-.f64 (fma.f64 2 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (fma.f64 2 (sin.f64 y) x) 3)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6) (pow.f64 (fma.f64 2 (sin.f64 y) x) 6)) (*.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (fma.f64 2 (sin.f64 y) x) 3)) (fma.f64 (fma.f64 2 (sin.f64 y) x) (-.f64 (fma.f64 2 (sin.f64 y) x) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3) (pow.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (fma.f64 2 (sin.f64 y) x) (-.f64 (fma.f64 2 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (-.f64 (*.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 3) (pow.f64 (fma.f64 2 (sin.f64 y) x) 3)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (fma.f64 2 (sin.f64 y) x) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 3) 3)) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6) (pow.f64 (fma.f64 2 (sin.f64 y) x) 6)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (fma.f64 2 (sin.f64 y) x) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (fma.f64 2 (sin.f64 y) x) (-.f64 (fma.f64 2 (sin.f64 y) x) (*.f64 z (cos.f64 y))))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 3) 3)) (*.f64 (fma.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 3) (-.f64 (pow.f64 (fma.f64 2 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (pow.f64 (*.f64 z (cos.f64 y)) 6)) (fma.f64 (fma.f64 2 (sin.f64 y) x) (-.f64 (fma.f64 2 (sin.f64 y) x) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(pow.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) 1)
(fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))
(fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x))) 2)
(fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))
(fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x))) 3)
(fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))
(fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) 3) 1/3)
(fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))
(fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x)) 2))
(fabs.f64 (fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))
(fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)))))
(fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))
(fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x)) 3))
(fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))
(fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))
(fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))
(fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x))) 1))
(fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))
(fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))
(fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 (cos.f64 y) z (fma.f64 2 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))
(fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))
(fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 1 (*.f64 (cos.f64 y) z) (fma.f64 2 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))
(fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 1 (fma.f64 2 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))
(fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 (sqrt.f64 (fma.f64 2 (sin.f64 y) x)) (sqrt.f64 (fma.f64 2 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))
(fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (fma.f64 2 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))
(fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (sin.f64 y) x)) 2) (cbrt.f64 (fma.f64 2 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))
(fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (fma.f64 2 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (fma.f64 2 (sin.f64 y) x))
(fma.f64 2 (sin.f64 y) (fma.f64 z (cos.f64 y) x))

localize5.0ms (0%)

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize4.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (sin.f64 y) x)
✓0.3b
(+.f64 1 (+.f64 (sin.f64 y) x))
✓3.4b
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
Compiler

Compiled 26 to 12 computations (53.8% saved)

series4.0ms (0%)

Counts
2 → 31
Calls

12 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(+.f64 1 (+.f64 (sin.f64 y) x))
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
x
@inf
(+.f64 1 (+.f64 (sin.f64 y) x))
0.0ms
y
@inf
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)

rewrite104.0ms (1%)

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 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simplify105.0ms (1%)

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)
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(/.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)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y x))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 x 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 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
x
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
x
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 y x))
(+.f64 (+.f64 x y) 1)
(+.f64 x (+.f64 y 1))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 (+.f64 y x)))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (+.f64 x y) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 y 3) (+.f64 x y)) 1)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) x))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (+.f64 1 y) (fma.f64 1/120 (pow.f64 y 5) x)))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) x) (+.f64 y 1)))
(+.f64 1 (sin.f64 y))
(+.f64 (sin.f64 y) 1)
x
x
(+.f64 1 (+.f64 (sin.f64 y) (+.f64 x -1)))
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) (+.f64 x 0))
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) (+.f64 (+.f64 1 x) -1))
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) (+.f64 1 (+.f64 x -1)))
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) (+.f64 (+.f64 x -1) 1))
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) (-.f64 (+.f64 1 x) 1))
(+.f64 x (sin.f64 y))
(+.f64 x (sin.f64 y))
(+.f64 x (+.f64 (+.f64 1 (sin.f64 y)) -1))
(+.f64 x (sin.f64 y))
(+.f64 x (+.f64 (-.f64 (sin.f64 y) 1) 1))
(+.f64 x (sin.f64 y))
(+.f64 (+.f64 (sin.f64 y) x) 0)
(+.f64 x (sin.f64 y))
(+.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) -1)
(+.f64 x (sin.f64 y))
(+.f64 0 (+.f64 (sin.f64 y) x))
(+.f64 x (sin.f64 y))
(+.f64 (+.f64 1 (sin.f64 y)) (+.f64 x -1))
(+.f64 x (sin.f64 y))
(+.f64 (+.f64 1 (sin.f64 y)) (+.f64 (+.f64 x -1) 0))
(+.f64 x (sin.f64 y))
(+.f64 (+.f64 1 (sin.f64 y)) (*.f64 1 (+.f64 x -1)))
(+.f64 x (sin.f64 y))
(+.f64 (+.f64 (sin.f64 y) (+.f64 x -1)) 1)
(+.f64 x (sin.f64 y))
(+.f64 -1 (+.f64 1 (+.f64 (sin.f64 y) x)))
(+.f64 x (sin.f64 y))
(+.f64 (+.f64 1 x) (-.f64 (sin.f64 y) 1))
(+.f64 x (sin.f64 y))
(+.f64 (+.f64 1 x) (+.f64 (sin.f64 y) -1))
(+.f64 x (sin.f64 y))
(+.f64 (+.f64 x -1) (+.f64 1 (sin.f64 y)))
(+.f64 x (sin.f64 y))
(+.f64 (+.f64 -1 (sin.f64 y)) (+.f64 1 x))
(+.f64 x (sin.f64 y))
(+.f64 (+.f64 -1 (+.f64 1 (sin.f64 y))) x)
(+.f64 x (sin.f64 y))
(+.f64 (+.f64 -1 (+.f64 1 x)) (sin.f64 y))
(+.f64 x (sin.f64 y))
(*.f64 1 (+.f64 (sin.f64 y) x))
(+.f64 x (sin.f64 y))
(*.f64 (+.f64 (sin.f64 y) x) 1)
(+.f64 x (sin.f64 y))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (+.f64 (sin.f64 y) x)))
(+.f64 x (sin.f64 y))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2))
(+.f64 x (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (+.f64 (sin.f64 y) x)))
(+.f64 x (sin.f64 y))
(*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (sin.f64 y) x)))
(+.f64 x (sin.f64 y))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) -1) (/.f64 1 (+.f64 (sin.f64 y) (+.f64 x 2))))
(+.f64 x (sin.f64 y))
(*.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 (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 -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 (pow.f64 (+.f64 (+.f64 x (sin.f64 y)) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (+.f64 x (sin.f64 y)) 1) 2) (+.f64 (sin.f64 y) (+.f64 x 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) 1)) 3)) (+.f64 (sin.f64 y) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x (+.f64 (sin.f64 y) 1)) 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 x (sin.f64 y))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 (+.f64 (sin.f64 y) x))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (+.f64 (sin.f64 y) x)))))
(+.f64 x (sin.f64 y))
(*.f64 (/.f64 1 (+.f64 (sin.f64 y) (+.f64 x 2))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) -1))
(+.f64 x (sin.f64 y))
(*.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 (pow.f64 (+.f64 (+.f64 x (sin.f64 y)) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (+.f64 x (sin.f64 y)) 1) 2) (+.f64 (sin.f64 y) (+.f64 x 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) 1)) 3)) (+.f64 (sin.f64 y) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x (+.f64 (sin.f64 y) 1)) 2))))
(*.f64 (/.f64 1 (-.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)))
(+.f64 x (sin.f64 y))
(*.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 (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 (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 (+.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 x (sin.f64 y))
(*.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 x (sin.f64 y))
(*.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))))
(*.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 x (sin.f64 y)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) -1) (-.f64 1 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2))) (-.f64 0 (+.f64 (sin.f64 y) x)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (+.f64 x (sin.f64 y)) 1) 2)) (-.f64 1 (pow.f64 (+.f64 (+.f64 x (sin.f64 y)) 1) 2))) (neg.f64 (+.f64 x (sin.f64 y))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) 1)) 2)) (-.f64 1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) 1)) 2))) (-.f64 (neg.f64 (sin.f64 y)) x))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) -1) (+.f64 1 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 3))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) (-.f64 0 (+.f64 (sin.f64 y) x))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (+.f64 x (sin.f64 y)) 1) 2)) (+.f64 1 (pow.f64 (+.f64 (+.f64 x (sin.f64 y)) 1) 3))) (+.f64 (pow.f64 (+.f64 (+.f64 x (sin.f64 y)) 1) 2) (neg.f64 (+.f64 x (sin.f64 y)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) 1)) 2)) (+.f64 1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) 1)) 3))) (-.f64 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) 1)) 2) (+.f64 x (sin.f64 y))))
(*.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (*.f64 x (-.f64 x (sin.f64 y))) (*.f64 x (-.f64 x (sin.f64 y)))))) (-.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 (pow.f64 (sin.f64 y) 4) (*.f64 x (*.f64 (-.f64 x (sin.f64 y)) (*.f64 x (-.f64 x (sin.f64 y))))))) (-.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 (pow.f64 (sin.f64 y) 4) (*.f64 (*.f64 x x) (*.f64 (-.f64 x (sin.f64 y)) (-.f64 x (sin.f64 y)))))) (-.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 (pow.f64 (pow.f64 (sin.f64 y) 2) 3) (pow.f64 (*.f64 x (-.f64 x (sin.f64 y))) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (*.f64 x (-.f64 x (sin.f64 y))) (*.f64 x (-.f64 x (sin.f64 y)))) (*.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 (pow.f64 (pow.f64 (sin.f64 y) 2) 3) (pow.f64 (*.f64 x (-.f64 x (sin.f64 y))) 3))) (+.f64 (pow.f64 (sin.f64 y) 4) (*.f64 (*.f64 x (-.f64 x (sin.f64 y))) (-.f64 (*.f64 x (-.f64 x (sin.f64 y))) (pow.f64 (sin.f64 y) 2)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 x (sin.f64 y))) 3) (pow.f64 (sin.f64 y) 6))) (+.f64 (pow.f64 (sin.f64 y) 4) (*.f64 (*.f64 x (-.f64 x (sin.f64 y))) (-.f64 (*.f64 x (-.f64 x (sin.f64 y))) (pow.f64 (sin.f64 y) 2)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2)) (*.f64 (+.f64 (sin.f64 y) (+.f64 x 2)) (+.f64 (sin.f64 y) (+.f64 x 2))))) (-.f64 (pow.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 2) (+.f64 (sin.f64 y) (+.f64 x 2))))
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(/.f64 (+.f64 -1 (pow.f64 (+.f64 x (sin.f64 y)) 2)) (+.f64 (sin.f64 y) (+.f64 x -1)))
(/.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 -1 (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3))) (neg.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 (+.f64 (sin.f64 y) (+.f64 x -1)) (pow.f64 (+.f64 x (sin.f64 y)) 2)))
(/.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 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 2))) (/.f64 (sqrt.f64 (-.f64 1 (+.f64 x (sin.f64 y)))) (sqrt.f64 (+.f64 (+.f64 x (sin.f64 y)) 1))))
(/.f64 (sqrt.f64 (+.f64 x (+.f64 (sin.f64 y) 1))) (/.f64 (sqrt.f64 (-.f64 1 (+.f64 x (sin.f64 y)))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 2)))))
(/.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 (sqrt.f64 (+.f64 (+.f64 x (sin.f64 y)) 1)) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (-.f64 1 (+.f64 x (sin.f64 y))))))
(/.f64 (sqrt.f64 (+.f64 x (+.f64 (sin.f64 y) 1))) (/.f64 (sqrt.f64 (+.f64 1 (*.f64 (+.f64 x (sin.f64 y)) (+.f64 (sin.f64 y) (+.f64 x -1))))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 3)))))
(/.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 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 2))) (/.f64 (cbrt.f64 (-.f64 1 (+.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 x (sin.f64 y)) 1)) 2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 2))) (cbrt.f64 (-.f64 1 (+.f64 x (sin.f64 y))))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (sin.f64 y) 1))) 2))
(/.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 (cbrt.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))))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 x (sin.f64 y)) 1)) 2)))
(*.f64 (/.f64 (cbrt.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)))))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (sin.f64 y) 1))) 2))
(/.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 1 (pow.f64 (+.f64 x (sin.f64 y)) 4)) (*.f64 (-.f64 1 (+.f64 x (sin.f64 y))) (+.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 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 1 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) 3)) (*.f64 (-.f64 1 (+.f64 x (sin.f64 y))) (+.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 4)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 6)) (-.f64 1 (+.f64 x (sin.f64 y)))) (+.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 4))))
(/.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 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))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts
1 → 7
Calls

6 calls:

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

rewrite58.0ms (0.5%)

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))))))

simplify58.0ms (0.5%)

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))

eval378.0ms (3.5%)

Compiler

Compiled 25886 to 12508 computations (51.7% saved)

prune297.0ms (2.8%)

Pruning

22 alts after pruning (12 fresh and 10 done)

PrunedKeptTotal
New99941003
Fresh189
Picked011
Done1910
Total1001221023
Error
0b
Counts
1023 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
27.0b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y))
✓0.1b
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
50.8b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
38.4b
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y))) 1/2) (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
43.3b
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (-.f64 z x))
37.5b
(/.f64 (*.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 y)))) z) (cos.f64 y))
26.6b
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (*.f64 2 (sin.f64 y))) (sin.f64 y))
39.5b
(-.f64 (+.f64 x 1) 1)
✓31.1b
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
17.8b
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
✓0.1b
(+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (sin.f64 y))
30.6b
(+.f64 (+.f64 x (sin.f64 y)) (+.f64 z (*.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/24) -1/2)))))
✓26.6b
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
✓26.2b
(+.f64 (sin.f64 y) x)
46.3b
(+.f64 z y)
✓22.4b
(+.f64 z x)
✓24.1b
(+.f64 y (+.f64 z x))
✓38.3b
(+.f64 y x)
✓37.3b
(*.f64 (cos.f64 y) z)
✓51.7b
(sin.f64 y)
48.1b
z
36.8b
x
Compiler

Compiled 241 to 165 computations (31.5% saved)

regimes86.0ms (0.8%)

Counts
40 → 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 (*.f64 z z) (*.f64 x x)) (-.f64 z x))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 (sin.f64 y) x)
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
(+.f64 (+.f64 x (sin.f64 y)) (+.f64 z (*.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/24) -1/2)))))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (sin.f64 y))
(/.f64 (*.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 y)))) z) (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (*.f64 2 (sin.f64 y))) (sin.f64 y))
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 2 (sin.f64 y)) x)) (sin.f64 y))
(-.f64 (+.f64 (*.f64 2 (sin.f64 y)) x) (*.f64 -1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(+.f64 (+.f64 x (sin.f64 y)) (+.f64 z (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))))
(+.f64 (+.f64 x (sin.f64 y)) (+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 (*.f64 1/24 (pow.f64 y 4)) z)))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y))) 1/2) (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
(+.f64 (+.f64 x (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)) (sin.f64 y))
(+.f64 (+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)) (sin.f64 y))
(/.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y))) 1/2) (*.f64 z z)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) (cbrt.f64 (*.f64 (cos.f64 y) z)) (+.f64 (sin.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (+.f64 (sin.f64 y) x))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))) 3) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (sqrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (sqrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.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)))))
Outputs
(+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (sin.f64 y))
Calls

4 calls:

20.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
18.0ms
z
18.0ms
y
18.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 550 to 203 computations (63.1% saved)

regimes39.0ms (0.4%)

Counts
16 → 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 (*.f64 z z) (*.f64 x x)) (-.f64 z x))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 (sin.f64 y) x)
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
(+.f64 (+.f64 x (sin.f64 y)) (+.f64 z (*.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/24) -1/2)))))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Calls

4 calls:

9.0ms
z
9.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
9.0ms
x
9.0ms
y
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 121 to 55 computations (54.5% saved)

regimes91.0ms (0.8%)

Counts
15 → 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 (*.f64 z z) (*.f64 x x)) (-.f64 z x))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 (sin.f64 y) x)
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
(+.f64 (+.f64 x (sin.f64 y)) (+.f64 z (*.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/24) -1/2)))))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
Outputs
(+.f64 (sin.f64 y) x)
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
Calls

3 calls:

37.0ms
y
28.0ms
z
22.0ms
x
Results
ErrorSegmentsBranch
7.9b3x
7.6b5y
7.7b3z
Compiler

Compiled 100 to 46 computations (54% saved)

bsearch192.0ms (1.8%)

Algorithm
4×binary-search
Steps
TimeLeftRight
49.0ms
1.0338212261758331e+224
9.250390087295698e+226
97.0ms
7.5306641643143305e+140
1.1404863884730223e+144
18.0ms
1.1142588556398095e+38
5.0509171801110936e+38
27.0ms
-3.424656226966807e+127
-6.95840231027797e+126
Results
74.0ms204×body256valid
69.0ms151×body512valid
43.0ms93×body1024valid
Compiler

Compiled 580 to 417 computations (28.1% saved)

regimes107.0ms (1%)

Counts
14 → 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 (*.f64 z z) (*.f64 x x)) (-.f64 z x))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 (sin.f64 y) x)
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
(+.f64 (+.f64 x (sin.f64 y)) (+.f64 z (*.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/24) -1/2)))))
Outputs
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
(+.f64 (sin.f64 y) x)
(*.f64 (cos.f64 y) z)
Calls

3 calls:

57.0ms
x
23.0ms
y
22.0ms
z
Results
ErrorSegmentsBranch
12.2b8x
10.3b3y
7.7b3z
Compiler

Compiled 93 to 45 computations (51.6% saved)

bsearch40.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
4.8270723747668264e+41
1.911801162082041e+43
15.0ms
-7.26780593822315e-10
-4.27594056763984e-10
Results
24.0ms137×body256valid
9.0ms21×body1024valid
5.0ms18×body512valid
Compiler

Compiled 210 to 153 computations (27.1% saved)

regimes83.0ms (0.8%)

Counts
11 → 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 (*.f64 z z) (*.f64 x x)) (-.f64 z x))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 (sin.f64 y) x)
Outputs
(*.f64 (cos.f64 y) z)
(+.f64 z x)
(+.f64 (sin.f64 y) x)
(*.f64 (cos.f64 y) z)
Calls

3 calls:

35.0ms
x
27.0ms
z
19.0ms
y
Results
ErrorSegmentsBranch
14.1b6x
12.3b3y
7.1b4z
Compiler

Compiled 57 to 29 computations (49.1% saved)

bsearch65.0ms (0.6%)

Algorithm
3×binary-search
Steps
TimeLeftRight
29.0ms
4.8270723747668264e+41
1.911801162082041e+43
12.0ms
-7.26780593822315e-10
-4.27594056763984e-10
24.0ms
-1.982864872824261e+92
-2.9626819542112967e+91
Results
34.0ms206×body256valid
17.0ms39×body1024valid
10.0ms27×body512valid
Compiler

Compiled 280 to 207 computations (26.1% saved)

regimes100.0ms (0.9%)

Counts
10 → 9
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 (*.f64 z z) (*.f64 x x)) (-.f64 z x))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
Outputs
(+.f64 z x)
(*.f64 (cos.f64 y) z)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 y (+.f64 z x))
(*.f64 (cos.f64 y) z)
(+.f64 z x)
Calls

3 calls:

48.0ms
x
28.0ms
y
23.0ms
z
Results
ErrorSegmentsBranch
14.2b9x
17.1b5y
15.5b3z
Compiler

Compiled 53 to 28 computations (47.2% saved)

bsearch267.0ms (2.5%)

Algorithm
8×binary-search
Steps
TimeLeftRight
37.0ms
1.4519668682528546e-13
1.8164154947750975e-7
30.0ms
4.006199408600873e-62
1.5219798800163956e-60
32.0ms
1.1065035472267023e-170
2.3943138951969675e-167
39.0ms
1.4838110645427835e-215
3.408844678861328e-210
28.0ms
6.516662602513019e-308
5.022927009360964e-306
26.0ms
-1.3473689395411447e-193
-1.1070531173314684e-194
38.0ms
-3.214513601293319e-150
-3.3391176280857626e-155
37.0ms
-7866770995271758.0
-61982866.10857184
Results
108.0ms234×body1024valid
100.0ms631×body256valid
45.0ms159×body512valid
Compiler

Compiled 977 to 732 computations (25.1% saved)

regimes54.0ms (0.5%)

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 (*.f64 z z) (*.f64 x x)) (-.f64 z x))
(sin.f64 y)
Outputs
(+.f64 z x)
(+.f64 y (+.f64 z x))
(sin.f64 y)
(+.f64 z x)
Calls

3 calls:

26.0ms
x
21.0ms
y
5.0ms
z
Results
ErrorSegmentsBranch
18.6b5x
18.3b4y
22.4b1z
Compiler

Compiled 49 to 26 computations (46.9% saved)

bsearch71.0ms (0.7%)

Algorithm
3×binary-search
Steps
TimeLeftRight
27.0ms
7.711766216691598e+89
3.8146449820573027e+90
17.0ms
1.1142588556398095e+38
5.0509171801110936e+38
27.0ms
-3.677532054637933e+83
-1.8295690654916727e+82
Results
42.0ms145×body512valid
25.0ms159×body256valid
Compiler

Compiled 298 to 216 computations (27.5% saved)

regimes36.0ms (0.3%)

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 (*.f64 z z) (*.f64 x x)) (-.f64 z x))
Outputs
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 z x)
Calls

3 calls:

15.0ms
y
14.0ms
x
6.0ms
z
Results
ErrorSegmentsBranch
20.0b3x
19.9b3y
22.4b1z
Compiler

Compiled 47 to 25 computations (46.8% saved)

bsearch58.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
29.0ms
513998.2260423179
17350240969033052000.0
29.0ms
-3.677532054637933e+83
-1.8295690654916727e+82
Results
32.0ms193×body256valid
23.0ms79×body512valid
Compiler

Compiled 290 to 200 computations (31% saved)

regimes21.0ms (0.2%)

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:

11.0ms
x
5.0ms
z
4.0ms
y
Results
ErrorSegmentsBranch
21.1b3x
22.4b1y
22.4b1z
Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch84.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
44.0ms
2.1300554091155392e-133
1.1138622999293305e-114
40.0ms
-8.888956244817474e-170
-7.328805856216579e-177
Results
41.0ms89×body1024valid
28.0ms173×body256valid
12.0ms42×body512valid
Compiler

Compiled 284 to 203 computations (28.5% saved)

regimes12.0ms (0.1%)

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

3 calls:

4.0ms
z
4.0ms
y
4.0ms
x
Results
ErrorSegmentsBranch
22.4b1x
22.4b1y
22.4b1z
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes44.0ms (0.4%)

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

3 calls:

16.0ms
x
15.0ms
y
12.0ms
z
Results
ErrorSegmentsBranch
27.8b5x
31.7b5y
28.6b3z
Compiler

Compiled 20 to 13 computations (35% saved)

bsearch106.0ms (1%)

Algorithm
4×binary-search
Steps
TimeLeftRight
31.0ms
6.788757396315994e-16
1.483076517398615e-14
33.0ms
4.006199408600873e-62
1.5219798800163956e-60
8.0ms
5.250899544760752e-172
6.238060249645121e-172
33.0ms
-61982866.10857184
-90013.92911929441
Results
43.0ms92×body1024valid
36.0ms221×body256valid
22.0ms71×body512valid
Compiler

Compiled 276 to 214 computations (22.5% saved)

regimes40.0ms (0.4%)

Accuracy

Total -33.7b remaining (-118%)

Threshold costs -33.7b (-118%)

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

3 calls:

15.0ms
x
13.0ms
y
11.0ms
z
Results
ErrorSegmentsBranch
28.6b5x
34.1b3y
28.6b3z
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch66.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
4.8270723747668264e+41
1.911801162082041e+43
40.0ms
-3.0118172276560657e+150
-1.1723282774445491e+138
Results
34.0ms206×body256valid
17.0ms40×body1024valid
8.0ms26×body512valid
Compiler

Compiled 188 to 149 computations (20.7% saved)

simplify16.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
20×+-commutative
8×if-if-or-not
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112665
1142665
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (sin.f64 y))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 y -18999999999999999023407646653440738563129021110414640023476342862678004975339934039644239203498356566309278799735046095505457152) (+.f64 (sin.f64 y) x) (if (<=.f64 y 115000000000000005911390966139800518656) (+.f64 (+.f64 y x) (*.f64 z (cos.f64 y))) (if (<=.f64 y 72000000000000002576130409235634229351677803348378774821976065239199774667800350166977947920816004377304911685180106512891879173670702069841920) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (if (<=.f64 y 174999999999999999807932622765392631827717595178436769577478045399697688211318942770263889937526890344942546049725943886735868065682453471010982493478516041963445777846598325964013321985030690084617166101796074161235229147136) (+.f64 (sin.f64 y) x) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))))
(if (<=.f64 z -6189700196426901/9671406556917033397649408) (+.f64 (+.f64 y x) (*.f64 z (cos.f64 y))) (if (<=.f64 z 7200000000000000199383127353608573366042624) (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
(if (<=.f64 z -51000000000000001343801476425707024061022572007389596001855578263837727161441856598659039232) (*.f64 (cos.f64 y) z) (if (<=.f64 z -8510837770086989/19342813113834066795298816) (+.f64 z x) (if (<=.f64 z 1199999999999999930068851285153072652746752) (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))
(if (<=.f64 x -62000000) (+.f64 z x) (if (<=.f64 x -4830671903771573/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (*.f64 (cos.f64 y) z) (if (<=.f64 x -277389979183215/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (sin.f64 y) (if (<=.f64 x 1857989434656953/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (*.f64 (cos.f64 y) z) (if (<=.f64 x 1552518092300709/97032380768794308446811218028906409703555376069793538196190752376628184542898555395679900551790404871905483168570692075385723752757175899465267954690073821200278436001303119096891580351974902801578937449607279296930802928363503616) (sin.f64 y) (if (<=.f64 x 8838136200471005/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) (*.f64 (cos.f64 y) z) (if (<=.f64 x 2952698275551563/28948022309329048855892746252171976963317496166410141009864396001978282409984) (+.f64 y (+.f64 z x)) (if (<=.f64 x 3713820117856141/309485009821345068724781056) (*.f64 (cos.f64 y) z) (+.f64 z x)))))))))
(if (<=.f64 y -18500000000000001176522069783746648173757502199355709230862352160004468103727546368) (+.f64 z x) (if (<=.f64 y 499999999999999969854583185801589293056) (+.f64 y (+.f64 z x)) (if (<=.f64 y 850000000000000045012333702925103153016584209632516935956053517738551449980590319856517120) (sin.f64 y) (+.f64 z x))))
(if (<=.f64 y -18500000000000001176522069783746648173757502199355709230862352160004468103727546368) (+.f64 z x) (if (<=.f64 y 14800000) (+.f64 y (+.f64 z x)) (+.f64 z x)))
(if (<=.f64 x -7478422938860081/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536) (+.f64 z x) (if (<=.f64 x 7672009237256583/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (+.f64 z y) (+.f64 z x)))
(+.f64 z x)
(if (<=.f64 x -190000) x (if (<=.f64 x 5221298924585947/8702164874309912144930213176155645990168053640839691029699692760275411924760203145038438437113516616399082774302662672635438355868101955410485575332111767174247731541367082500615833649152) z (if (<=.f64 x 1186868914682491/28948022309329048855892746252171976963317496166410141009864396001978282409984) (+.f64 y x) (if (<=.f64 x 7352373481323731/5070602400912917605986812821504) z x))))
(if (<=.f64 z -1649999999999999833395884531245095980388857851547831994908153043257005320310302570996067897857760725315320396029226879609305193188647287914496) z (if (<=.f64 z 2349999999999999927527544146204989929291776) x z))
x
Outputs
(+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (sin.f64 y))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 y -18999999999999999023407646653440738563129021110414640023476342862678004975339934039644239203498356566309278799735046095505457152) (+.f64 (sin.f64 y) x) (if (<=.f64 y 115000000000000005911390966139800518656) (+.f64 (+.f64 y x) (*.f64 z (cos.f64 y))) (if (<=.f64 y 72000000000000002576130409235634229351677803348378774821976065239199774667800350166977947920816004377304911685180106512891879173670702069841920) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (if (<=.f64 y 174999999999999999807932622765392631827717595178436769577478045399697688211318942770263889937526890344942546049725943886735868065682453471010982493478516041963445777846598325964013321985030690084617166101796074161235229147136) (+.f64 (sin.f64 y) x) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))))
(if (<=.f64 y -18999999999999999023407646653440738563129021110414640023476342862678004975339934039644239203498356566309278799735046095505457152) (+.f64 x (sin.f64 y)) (if (<=.f64 y 115000000000000005911390966139800518656) (+.f64 (+.f64 x y) (*.f64 z (cos.f64 y))) (if (or (<=.f64 y 72000000000000002576130409235634229351677803348378774821976065239199774667800350166977947920816004377304911685180106512891879173670702069841920) (not (<=.f64 y 174999999999999999807932622765392631827717595178436769577478045399697688211318942770263889937526890344942546049725943886735868065682453471010982493478516041963445777846598325964013321985030690084617166101796074161235229147136))) (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))))
(if (<=.f64 z -6189700196426901/9671406556917033397649408) (+.f64 (+.f64 y x) (*.f64 z (cos.f64 y))) (if (<=.f64 z 7200000000000000199383127353608573366042624) (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
(if (<=.f64 z -6189700196426901/9671406556917033397649408) (+.f64 (+.f64 x y) (*.f64 z (cos.f64 y))) (if (<=.f64 z 7200000000000000199383127353608573366042624) (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(if (<=.f64 z -51000000000000001343801476425707024061022572007389596001855578263837727161441856598659039232) (*.f64 (cos.f64 y) z) (if (<=.f64 z -8510837770086989/19342813113834066795298816) (+.f64 z x) (if (<=.f64 z 1199999999999999930068851285153072652746752) (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))
(if (<=.f64 z -51000000000000001343801476425707024061022572007389596001855578263837727161441856598659039232) (*.f64 z (cos.f64 y)) (if (<=.f64 z -8510837770086989/19342813113834066795298816) (+.f64 x z) (if (<=.f64 z 1199999999999999930068851285153072652746752) (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(if (<=.f64 x -62000000) (+.f64 z x) (if (<=.f64 x -4830671903771573/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (*.f64 (cos.f64 y) z) (if (<=.f64 x -277389979183215/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (sin.f64 y) (if (<=.f64 x 1857989434656953/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (*.f64 (cos.f64 y) z) (if (<=.f64 x 1552518092300709/97032380768794308446811218028906409703555376069793538196190752376628184542898555395679900551790404871905483168570692075385723752757175899465267954690073821200278436001303119096891580351974902801578937449607279296930802928363503616) (sin.f64 y) (if (<=.f64 x 8838136200471005/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) (*.f64 (cos.f64 y) z) (if (<=.f64 x 2952698275551563/28948022309329048855892746252171976963317496166410141009864396001978282409984) (+.f64 y (+.f64 z x)) (if (<=.f64 x 3713820117856141/309485009821345068724781056) (*.f64 (cos.f64 y) z) (+.f64 z x)))))))))
(if (<=.f64 x -62000000) (+.f64 x z) (if (<=.f64 x -4830671903771573/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (*.f64 z (cos.f64 y)) (if (<=.f64 x -277389979183215/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (sin.f64 y) (if (<=.f64 x 1857989434656953/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (*.f64 z (cos.f64 y)) (if (<=.f64 x 1552518092300709/97032380768794308446811218028906409703555376069793538196190752376628184542898555395679900551790404871905483168570692075385723752757175899465267954690073821200278436001303119096891580351974902801578937449607279296930802928363503616) (sin.f64 y) (if (<=.f64 x 8838136200471005/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) (*.f64 z (cos.f64 y)) (if (<=.f64 x 2952698275551563/28948022309329048855892746252171976963317496166410141009864396001978282409984) (+.f64 y (+.f64 x z)) (if (<=.f64 x 3713820117856141/309485009821345068724781056) (*.f64 z (cos.f64 y)) (+.f64 x z)))))))))
(if (<=.f64 y -18500000000000001176522069783746648173757502199355709230862352160004468103727546368) (+.f64 z x) (if (<=.f64 y 499999999999999969854583185801589293056) (+.f64 y (+.f64 z x)) (if (<=.f64 y 850000000000000045012333702925103153016584209632516935956053517738551449980590319856517120) (sin.f64 y) (+.f64 z x))))
(if (<=.f64 y -18500000000000001176522069783746648173757502199355709230862352160004468103727546368) (+.f64 x z) (if (<=.f64 y 499999999999999969854583185801589293056) (+.f64 y (+.f64 x z)) (if (<=.f64 y 850000000000000045012333702925103153016584209632516935956053517738551449980590319856517120) (sin.f64 y) (+.f64 x z))))
(if (<=.f64 y -18500000000000001176522069783746648173757502199355709230862352160004468103727546368) (+.f64 z x) (if (<=.f64 y 14800000) (+.f64 y (+.f64 z x)) (+.f64 z x)))
(if (<=.f64 y -18500000000000001176522069783746648173757502199355709230862352160004468103727546368) (+.f64 x z) (if (<=.f64 y 14800000) (+.f64 y (+.f64 x z)) (+.f64 x z)))
(if (<=.f64 x -7478422938860081/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536) (+.f64 z x) (if (<=.f64 x 7672009237256583/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (+.f64 z y) (+.f64 z x)))
(if (<=.f64 x -7478422938860081/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536) (+.f64 x z) (if (<=.f64 x 7672009237256583/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (+.f64 z y) (+.f64 x z)))
(+.f64 z x)
(+.f64 x z)
(if (<=.f64 x -190000) x (if (<=.f64 x 5221298924585947/8702164874309912144930213176155645990168053640839691029699692760275411924760203145038438437113516616399082774302662672635438355868101955410485575332111767174247731541367082500615833649152) z (if (<=.f64 x 1186868914682491/28948022309329048855892746252171976963317496166410141009864396001978282409984) (+.f64 y x) (if (<=.f64 x 7352373481323731/5070602400912917605986812821504) z x))))
(if (<=.f64 x -190000) x (if (<=.f64 x 5221298924585947/8702164874309912144930213176155645990168053640839691029699692760275411924760203145038438437113516616399082774302662672635438355868101955410485575332111767174247731541367082500615833649152) z (if (<=.f64 x 1186868914682491/28948022309329048855892746252171976963317496166410141009864396001978282409984) (+.f64 x y) (if (<=.f64 x 7352373481323731/5070602400912917605986812821504) z x))))
(if (<=.f64 z -1649999999999999833395884531245095980388857851547831994908153043257005320310302570996067897857760725315320396029226879609305193188647287914496) z (if (<=.f64 z 2349999999999999927527544146204989929291776) x z))
x
Compiler

Compiled 310 to 172 computations (44.5% saved)

soundness13.0ms (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
Compiler

Compiled 29 to 10 computations (65.5% saved)

end95.0ms (0.9%)

Compiler

Compiled 274 to 107 computations (60.9% saved)

Profiling

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