Details

Time bar (total: 6.5s)

analyze235.0ms (3.6%)

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

Compiled 13 to 9 computations (30.8% saved)

sample2.1s (32%)

Results
1.1s6211×body256valid
665.0ms1365×body1024valid
297.0ms675×body512valid
5.0msbody2048valid
Bogosity

preprocess80.0ms (1.2%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 15 to 11 computations (26.7% saved)

simplify22.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 30 to 13 computations (56.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New213
Fresh011
Picked000
Done000
Total224
Error
0.1b
Counts
4 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 27 to 8 computations (70.4% saved)

series10.0ms (0.2%)

Counts
3 → 64
Calls

21 calls:

TimeVariablePointExpression
2.0ms
z
@0
(*.f64 z (sin.f64 y))
1.0ms
y
@0
(*.f64 z (sin.f64 y))
1.0ms
y
@inf
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
x
@0
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.0ms
z
@inf
(*.f64 z (sin.f64 y))

rewrite107.0ms (1.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
120226
2301226
Stop Event
node limit
Counts
3 → 210
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (cos.f64 y))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (*.f64 x x) (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (neg.f64 (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 y))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (cos.f64 y)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (cos.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (cos.f64 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (cos.f64 y))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (cbrt.f64 (cos.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)))))

simplify91.0ms (1.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
04684126
111613998
236783998
Stop Event
node limit
Counts
274 → 270
Calls
Call 1
Inputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 0 (*.f64 z (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) 2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (sin.f64 y)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 3) 1/3))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))
(+.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))
(+.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)
(+.f64 0 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1)
(*.f64 1 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2) (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(*.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) 2))))
(*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(/.f64 1 (/.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))))
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))))
(*.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))
(/.f64 1 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (*.f64 x x) (*.f64 x (cos.f64 y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (neg.f64 (-.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(pow.f64 (+.f64 x (cos.f64 y)) 1)
(pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) 1/2)
(pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) 2)
(pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) -1)
(pow.f64 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2))
(log.f64 (exp.f64 (+.f64 x (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (cos.f64 y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (cos.f64 y))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (cos.f64 y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (cos.f64 y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 y))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (cos.f64 y)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 y))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y))))
(log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (+.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (cos.f64 y))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (cos.f64 y)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (cos.f64 y)))) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (cos.f64 y))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (cos.f64 y))) 3) 1/3))
(fma.f64 x 1 (cos.f64 y))
(fma.f64 (cos.f64 y) 1 x)
(fma.f64 1 x (cos.f64 y))
(fma.f64 1 (cos.f64 y) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))
(fma.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (cbrt.f64 (cos.f64 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)
Outputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7))))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 x 1) (*.f64 y z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) x)))
(+.f64 1 (-.f64 (fma.f64 -1/2 (*.f64 y y) x) (*.f64 y z)))
(+.f64 (fma.f64 -1/2 (*.f64 y y) x) (-.f64 1 (*.f64 y z)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))))
(+.f64 1 (-.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 (*.f64 z (pow.f64 y 3)) 1/6 x)) (*.f64 y z)))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 (*.f64 z (pow.f64 y 3)) 1/6 x)) (-.f64 1 (*.f64 y z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)) (fma.f64 -1/720 (pow.f64 y 6) 1))
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 0 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(*.f64 z (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(*.f64 z (sin.f64 y))
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 1/2)
(*.f64 z (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(*.f64 z (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(*.f64 z (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(*.f64 z (sin.f64 y))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(*.f64 z (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))
(*.f64 z (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3))
(*.f64 z (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) 2))
(*.f64 z (sin.f64 y))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (sin.f64 y)))) 1/3))
(*.f64 z (sin.f64 y))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1) 1))
(*.f64 z (sin.f64 y))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 3) 1/3))
(*.f64 z (sin.f64 y))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 0 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))))))
(*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(*.f64 1 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(*.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2) (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(*.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
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(*.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2))
(+.f64 (cos.f64 y) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))))
(+.f64 (cos.f64 y) x)
(*.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))))
(+.f64 (cos.f64 y) x)
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(/.f64 1 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (*.f64 x x) (*.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (neg.f64 (-.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(pow.f64 (+.f64 x (cos.f64 y)) 1)
(+.f64 (cos.f64 y) x)
(pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) 1/2)
(+.f64 (cos.f64 y) x)
(pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 3)
(+.f64 (cos.f64 y) x)
(pow.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) 2)
(+.f64 (cos.f64 y) x)
(pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 1/3)
(+.f64 (cos.f64 y) x)
(pow.f64 (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) -1)
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(pow.f64 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) -1)
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(sqrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2))
(+.f64 (cos.f64 y) x)
(log.f64 (exp.f64 (+.f64 x (cos.f64 y))))
(+.f64 (cos.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (cos.f64 y)))))
(+.f64 (cos.f64 y) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (cos.f64 y))))
(+.f64 (cos.f64 y) x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (cos.f64 y)))))
(+.f64 (cos.f64 y) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (cos.f64 y)))))
(+.f64 (cos.f64 y) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 y))) (exp.f64 x)))
(+.f64 (cos.f64 y) x)
(log.f64 (*.f64 (exp.f64 (cos.f64 y)) (+.f64 1 (expm1.f64 x))))
(+.f64 (cos.f64 y) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 y))) (+.f64 1 (expm1.f64 x))))
(+.f64 (cos.f64 y) x)
(cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3))
(+.f64 (cos.f64 y) x)
(expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y))))
(+.f64 (cos.f64 y) x)
(log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y))))
(+.f64 (cos.f64 y) x)
(exp.f64 (log.f64 (+.f64 x (cos.f64 y))))
(+.f64 (cos.f64 y) x)
(exp.f64 (*.f64 (log.f64 (+.f64 x (cos.f64 y))) 1))
(+.f64 (cos.f64 y) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (cos.f64 y)))) 3))
(+.f64 (cos.f64 y) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (cos.f64 y)))) 2))
(+.f64 (cos.f64 y) x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3)) 1/3))
(+.f64 (cos.f64 y) x)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (cos.f64 y))) 1) 1))
(+.f64 (cos.f64 y) x)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (cos.f64 y))) 3) 1/3))
(+.f64 (cos.f64 y) x)
(fma.f64 x 1 (cos.f64 y))
(+.f64 (cos.f64 y) x)
(fma.f64 (cos.f64 y) 1 x)
(+.f64 (cos.f64 y) x)
(fma.f64 1 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(fma.f64 1 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (cos.f64 y))
(+.f64 (cos.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))
(+.f64 (cos.f64 y) x)
(fma.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (cbrt.f64 (cos.f64 y)) x)
(fma.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))
(+.f64 (cos.f64 y) x)
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)
(+.f64 (cos.f64 y) x)

eval58.0ms (0.9%)

Compiler

Compiled 4802 to 1376 computations (71.3% saved)

prune51.0ms (0.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New25812270
Fresh000
Picked011
Done000
Total25813271
Error
0.0b
Counts
271 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
29.1b
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
1.5b
(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
29.2b
(fma.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
1.1b
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
29.3b
(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
0.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
23.9b
(-.f64 (+.f64 x 1) (*.f64 y z))
34.4b
(-.f64 (log.f64 (exp.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y)))
30.9b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
16.0b
(+.f64 (cos.f64 y) x)
23.1b
(+.f64 x 1)
47.8b
(*.f64 (sin.f64 y) (neg.f64 z))
33.4b
x
Compiler

Compiled 324 to 205 computations (36.7% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 53 to 12 computations (77.4% saved)

series28.0ms (0.4%)

Counts
3 → 56
Calls

24 calls:

TimeVariablePointExpression
5.0ms
y
@0
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
4.0ms
z
@0
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
4.0ms
x
@0
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
2.0ms
y
@inf
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
2.0ms
y
@-inf
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)

rewrite74.0ms (1.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01241
126941
2345441
Stop Event
node limit
Counts
3 → 206
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
(cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 2) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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(cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) 1) (sin.f64 y) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (cos.f64 y))))))

simplify217.0ms (3.3%)

Algorithm
egg-herbie
Rules
544×associate-*r*_binary64
518×fma-neg_binary64
506×fma-def_binary64
467×associate-*l*_binary64
329×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06884294975565
120027927
269947834
Stop Event
node limit
Counts
262 → 350
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)) (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9))) x))
(+.f64 (*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/9)) (+.f64 (*.f64 (pow.f64 (*.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)))) (*.f64 -1/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/9)))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)) (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9))) x)))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/3) (+.f64 (*.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/3)) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/3)))))) (*.f64 -2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/9) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/3)) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/3)))))) (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/3)))))) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/9)) (+.f64 (*.f64 (pow.f64 (*.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)))) (*.f64 -1/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/9)))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)) (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9))) x))))
(*.f64 (pow.f64 1 1/3) (+.f64 1 x))
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z))) y) (*.f64 (pow.f64 1 1/3) (+.f64 1 x)))
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z))) y) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2))) (+.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) (pow.f64 z 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2)))) (pow.f64 (*.f64 1 (+.f64 1 x)) 1/3)) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) (+.f64 1 x))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) 1/3) (pow.f64 z 3))) (+.f64 (*.f64 -1/6 z) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 5)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2) z))))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 1 x)) 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 8)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2) z))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (+.f64 (*.f64 -1/6 z) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) 1/3) (pow.f64 z 3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 5)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2) z))))))))) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) (pow.f64 z 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2)))) z) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) 1/9))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 5)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2) z)))))) (pow.f64 y 3)) (+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z))) y) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2))) (+.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) (pow.f64 z 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2)))) (pow.f64 (*.f64 1 (+.f64 1 x)) 1/3)) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) (+.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (+.f64 (cos.f64 y) x) (pow.f64 1 1/3))
(+.f64 (*.f64 (+.f64 (cos.f64 y) x) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 4) 1) 1/9) (sin.f64 y))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 4) 1) 1/9) (sin.f64 y)))) z))
(+.f64 (*.f64 (+.f64 (cos.f64 y) x) (pow.f64 1 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 4) 1) 1/9) (sin.f64 y))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 4) 1) 1/9) (sin.f64 y)))) z) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 y) x) 1) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 4)) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 4)) 1/9) (pow.f64 (sin.f64 y) 2))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 y) x)) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 y) x)) 1/9) (pow.f64 (sin.f64 y) 2))))))))
(+.f64 (*.f64 (+.f64 (cos.f64 y) x) (pow.f64 1 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 4)) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 4)) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/9))) (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 y) x) 1) 1/3) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (sin.f64 y) 3) (+.f64 (cos.f64 y) x)))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 y) x)) 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/3) (pow.f64 (sin.f64 y) 3))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (sin.f64 y) 3))))))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/3) (pow.f64 (sin.f64 y) 3))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (sin.f64 y) 3))))))) (*.f64 2/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (sin.f64 y) 3))))))) (pow.f64 z 3)) (+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 4) 1) 1/9) (sin.f64 y))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 4) 1) 1/9) (sin.f64 y)))) z) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 y) x) 1) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 4)) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 4)) 1/9) (pow.f64 (sin.f64 y) 2))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 y) x)) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 y) x)) 1/9) (pow.f64 (sin.f64 y) 2)))))))))
(pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3)
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/9) x)) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/9) x)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 7)) 1/9) (pow.f64 x 2))) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/9) x)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 7)) 1/9) (pow.f64 x 2))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/3) (*.f64 (+.f64 (*.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/3)) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/3)))) (pow.f64 x 3)))) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3))))
(pow.f64 (+.f64 1 x) 1/3)
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) 1/9) (*.f64 y z))) (pow.f64 (+.f64 1 x) 1/3))
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(fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 (*.f64 (neg.f64 z) 1) (sin.f64 y) (cos.f64 y))
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) (cos.f64 y))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (cos.f64 y))
Outputs
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)) (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9))) x))
(+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4) 1/18)) 1) x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4) 1/18)) x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/9)) (+.f64 (*.f64 (pow.f64 (*.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)))) (*.f64 -1/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/9)))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)) (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9))) x)))
(+.f64 (fma.f64 (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/18)) (fma.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/18)) -1/9) (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/18)) -1/9))) (*.f64 x x) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4) 1/18)) 1) x)) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4) 1/18)) x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 x (*.f64 x (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/18)) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/18) -1/9)) (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/18)) (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/18)))))))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/3) (+.f64 (*.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/3)) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/3)))))) (*.f64 -2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/9) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/3)) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/3)))))) (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/3)))))) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/9)) (+.f64 (*.f64 (pow.f64 (*.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)))) (*.f64 -1/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/9)))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)) (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9))) x))))
(fma.f64 (fma.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2))) (*.f64 -2/9 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)))))) (*.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) -2/27)) (fma.f64 1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/18)) -1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/18))) (+.f64 (*.f64 -1/3 (fma.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2))) (*.f64 -2/9 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)))))) (*.f64 -2/27 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2))))))) (pow.f64 x 3) (+.f64 (fma.f64 (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/18)) (fma.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/18)) -1/9) (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/18)) -1/9))) (*.f64 x x) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4) 1/18)) 1) x)) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/18)) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/18) -1/9)) (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/18)) (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/18)))) (*.f64 x x) (*.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4) 1/18)) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2))) -5/27) (/.f64 -2/27 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/18)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/18)))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2))) -2/27 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2))) -5/27) -1/3)))) (pow.f64 x 3) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 1 1/3) (+.f64 1 x))
(+.f64 1 x)
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z))) y) (*.f64 (pow.f64 1 1/3) (+.f64 1 x)))
(fma.f64 (*.f64 (*.f64 z (*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 x) 4) 1/18))) -1) y (+.f64 1 x))
(fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 x) 4) 1/18)) (neg.f64 z)) (+.f64 1 x))
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z))) y) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2))) (+.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) (pow.f64 z 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2)))) (pow.f64 (*.f64 1 (+.f64 1 x)) 1/3)) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) (+.f64 1 x))))
(fma.f64 (*.f64 (*.f64 z (*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 x) 4) 1/18))) -1) y (fma.f64 (+.f64 (*.f64 -1/3 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/18) (pow.f64 (/.f64 1 (+.f64 1 x)) 1/18)) (*.f64 z z)) 1/2)) (fma.f64 (fma.f64 1/9 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/18))) (*.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/18) (pow.f64 (/.f64 1 (+.f64 1 x)) 1/18)) (*.f64 z z)) 1/2) (cbrt.f64 (/.f64 1 (+.f64 1 x)))))) (cbrt.f64 (+.f64 1 x)) (*.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/18) (pow.f64 (/.f64 1 (+.f64 1 x)) 1/18)) (*.f64 z z))))) (*.f64 y y) (+.f64 1 x)))
(fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 x) 4) 1/18)) (neg.f64 z)) (fma.f64 (fma.f64 -1/3 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/18) z) (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/18) z)) 1/2) (fma.f64 (fma.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/18) z) (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/18) z)) 1/2) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (*.f64 1/9 (*.f64 (*.f64 (*.f64 z z) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/18)))) (cbrt.f64 (+.f64 1 x)) (*.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/18) z) (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/18) z))))) (*.f64 y y) (+.f64 1 x)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) 1/3) (pow.f64 z 3))) (+.f64 (*.f64 -1/6 z) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 5)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2) z))))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 1 x)) 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 8)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2) z))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (+.f64 (*.f64 -1/6 z) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) 1/3) (pow.f64 z 3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 5)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2) z))))))))) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) (pow.f64 z 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2)))) z) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) 1/9))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 5)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2) z)))))) (pow.f64 y 3)) (+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z))) y) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2))) (+.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) (pow.f64 z 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2)))) (pow.f64 (*.f64 1 (+.f64 1 x)) 1/3)) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) (+.f64 1 x)))))
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(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))) (/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) 2))))
(+.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) 2))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))) (*.f64 z (sin.f64 y)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y))))
(fma.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))
(fma.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y))))
(fma.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))) (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y))))
(+.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) 2) (cbrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) (sqrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (*.f64 0 (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (*.f64 0 (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 z (sin.f64 y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (cos.f64 y))
(+.f64 (cos.f64 y) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)))
(fma.f64 (*.f64 (neg.f64 z) 1) (sin.f64 y) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) (cos.f64 y))
(+.f64 (cos.f64 y) (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 (sin.f64 y)) 3)))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))

localize3.0ms (0.1%)

Compiler

Compiled 8 to 6 computations (25% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts
1 → 7
Calls

6 calls:

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

rewrite39.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify68.0ms (1%)

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

Useful iterations: 2 (0.0ms)

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

localize29.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 7 computations (65% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
0.1b
(*.f64 z (sin.f64 y))
0.2b
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
5.5b
(sqrt.f64 (*.f64 z (sin.f64 y)))
Compiler

Compiled 43 to 14 computations (67.4% saved)

series18.0ms (0.3%)

Counts
3 → 30
Calls

21 calls:

TimeVariablePointExpression
3.0ms
z
@-inf
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
3.0ms
z
@0
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
2.0ms
z
@-inf
(sqrt.f64 (*.f64 z (sin.f64 y)))
1.0ms
y
@0
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
1.0ms
z
@0
(sqrt.f64 (*.f64 z (sin.f64 y)))

rewrite72.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
573×log-prod_binary64
466×fma-def_binary64
421×pow-prod-down_binary64
320×pow2_binary64
223×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01228
126628
2338528
Stop Event
node limit
Counts
3 → 189
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) 1))))))
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simplify80.0ms (1.2%)

Algorithm
egg-herbie
Rules
435×cancel-sign-sub-inv_binary64
413×unswap-sqr_binary64
365×fma-neg_binary64
252×associate-/l*_binary64
192×associate--r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03803472
18993363
226893319
Stop Event
node limit
Counts
219 → 227
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 1 x)
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(+.f64 0 (sqrt.f64 (*.f64 z (sin.f64 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) 1)
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1)
(*.f64 1 (sqrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 1/6))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 (sqrt.f64 z) (sqrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 z (sin.f64 y))))
(pow.f64 (*.f64 z (sin.f64 y)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 1/4)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3/2)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) 1))
(+.f64 0 (*.f64 z (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 (*.f64 z (sin.f64 y)) 1)
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(fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) 2))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))
(fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))
(fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))
(fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) x)
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) x)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))
Outputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 1 x)
(+.f64 x 1)
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (cos.f64 y) x)
(+.f64 0 (sqrt.f64 (*.f64 z (sin.f64 y))))
(sqrt.f64 (*.f64 z (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) 1)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 1 (sqrt.f64 (*.f64 z (sin.f64 y))))
(sqrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 1/6))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 3)
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 1/6))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 3)
(*.f64 (sqrt.f64 z) (sqrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))
(sqrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 z (sin.f64 y))))
(sqrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/2)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 1/4)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2))
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3/2)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 3)
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 1/6))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) 2)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(fabs.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))
(sqrt.f64 (*.f64 z (sin.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(sqrt.f64 (*.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))))
(sqrt.f64 (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(sqrt.f64 (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(sqrt.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(sqrt.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1/2))
(sqrt.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) 1))
(sqrt.f64 (*.f64 z (sin.f64 y)))
(+.f64 0 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(*.f64 z (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (sqrt.f64 z) (pow.f64 (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))) 1/2))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z (*.f64 (sin.f64 y) (sin.f64 y)))))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2)))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (fabs.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/4)))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (pow.f64 (*.f64 z (sin.f64 y)) 3/4))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2)) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2)))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (fabs.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/4)))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (pow.f64 (*.f64 z (sin.f64 y)) 3/4))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 z (sin.f64 y)) 1/6))
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 1/6)))
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 3))
(*.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) z) 1/2) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 z (*.f64 z (sin.f64 y)))))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) (*.f64 z z))))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(*.f64 z (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))
(*.f64 z (sin.f64 y))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1))
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(fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) 2))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))
(*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (+.f64 (cos.f64 y) x) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (+.f64 (cos.f64 y) x) 2)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (+.f64 (cos.f64 y) x) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (+.f64 (cos.f64 y) x) 2)))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 z (sin.f64 y)))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 z (sin.f64 y)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))
(*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(fma.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))

eval290.0ms (4.4%)

Compiler

Compiled 21300 to 8695 computations (59.2% saved)

prune182.0ms (2.8%)

Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New85413867
Fresh437
Picked101
Done145
Total86020880
Error
0.0b
Counts
880 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
40.8b
(pow.f64 (pow.f64 (+.f64 1 x) 1/3) 3)
18.7b
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))) 3)
23.7b
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3)
0.3b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
31.8b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
29.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
0.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
23.9b
(-.f64 (+.f64 x 1) (*.f64 y z))
48.0b
(-.f64 (cos.f64 y) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
30.9b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
48.6b
(-.f64 1 (*.f64 y z))
31.2b
(+.f64 (cos.f64 y) (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 (sin.f64 y)) 3)))
16.0b
(+.f64 (cos.f64 y) x)
23.1b
(+.f64 x 1)
49.1b
(+.f64 1 (-.f64 (*.f64 (*.f64 y y) -1/2) (*.f64 y z)))
47.8b
(*.f64 (sin.f64 y) (neg.f64 z))
46.2b
(log.f64 (exp.f64 (+.f64 (cos.f64 y) x)))
45.6b
(cos.f64 y)
33.4b
x
52.3b
1
Compiler

Compiled 371 to 272 computations (26.7% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (cbrt.f64 z) (sin.f64 y))
0.4b
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))
0.5b
(pow.f64 (cbrt.f64 z) 2)
0.6b
(cbrt.f64 z)
Compiler

Compiled 51 to 18 computations (64.7% saved)

series13.0ms (0.2%)

Counts
4 → 36
Calls

18 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))
2.0ms
z
@-inf
(pow.f64 (cbrt.f64 z) 2)
1.0ms
y
@inf
(*.f64 (cbrt.f64 z) (sin.f64 y))
1.0ms
y
@0
(*.f64 (cbrt.f64 z) (sin.f64 y))
1.0ms
z
@-inf
(cbrt.f64 z)

rewrite53.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
769×pow1_binary64
708×add-log-exp_binary64
708×log1p-expm1-u_binary64
708×expm1-log1p-u_binary64
691×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
118123
2201323
Stop Event
node limit
Counts
4 → 63
Calls
Call 1
Inputs
(cbrt.f64 z)
(pow.f64 (cbrt.f64 z) 2)
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))
(*.f64 (cbrt.f64 z) (sin.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 1/6) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 z) 1/3) (pow.f64 (sqrt.f64 z) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 z 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 z)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 z) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (*.f64 z (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z))) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 1/6) (*.f64 (pow.f64 z 1/6) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 z))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 3) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sin.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cbrt.f64 z) (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 z) (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 z) (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cbrt.f64 z)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 z) (sin.f64 y))))))))

simplify62.0ms (1%)

Algorithm
egg-herbie
Rules
904×log-prod_binary64
618×fma-def_binary64
525×fma-neg_binary64
448×*-commutative_binary64
279×log-pow_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0163934
1383838
21580717
34378706
47092706
Stop Event
node limit
Counts
99 → 107
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) y)
(+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) y) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 3))))
(+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) y) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 5))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 3)))))
(+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) y) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 7))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 5))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 3))))))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(-.f64 (+.f64 1 (cbrt.f64 z)) 1)
(*.f64 (cbrt.f64 z) 1)
(*.f64 1 (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z)))
(*.f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
(*.f64 (pow.f64 z 1/6) (pow.f64 z 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 z))
(*.f64 (pow.f64 (sqrt.f64 z) 1/3) (pow.f64 (sqrt.f64 z) 1/3))
(pow.f64 z 1/3)
(pow.f64 (cbrt.f64 z) 1)
(pow.f64 (pow.f64 (cbrt.f64 z) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)
(pow.f64 (pow.f64 z 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 z) 2))
(fabs.f64 (cbrt.f64 z))
(log.f64 (exp.f64 (cbrt.f64 z)))
(expm1.f64 (log1p.f64 (cbrt.f64 z)))
(log1p.f64 (expm1.f64 (cbrt.f64 z)))
(exp.f64 (log.f64 (cbrt.f64 z)))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 z) 2)) 1)
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 z) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (*.f64 z (cbrt.f64 z))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 z)))
(*.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z))) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
(*.f64 (sqrt.f64 z) (pow.f64 z 1/6))
(*.f64 (pow.f64 z 1/6) (*.f64 (pow.f64 z 1/6) (cbrt.f64 z)))
(*.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 z)))
(sqrt.f64 (*.f64 z (cbrt.f64 z)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))
(cbrt.f64 (*.f64 z z))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 z) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 z))))
(-.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 3) (*.f64 z z)))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 1 (*.f64 (cbrt.f64 z) (sin.f64 y))) 1)
(pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 z) (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 z) (sin.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 z)) (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 3))
(cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 z) (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 z) (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 z) (sin.f64 y))))
Outputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z y))
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 z (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 z y (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) y)
(*.f64 y (cbrt.f64 z))
(+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) y) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 3))))
(fma.f64 (cbrt.f64 z) y (*.f64 (*.f64 -1/6 (cbrt.f64 z)) (pow.f64 y 3)))
(fma.f64 y (cbrt.f64 z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) (cbrt.f64 z))))
(*.f64 (cbrt.f64 z) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) y) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 5))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 3)))))
(fma.f64 (cbrt.f64 z) y (fma.f64 1/120 (*.f64 (pow.f64 y 5) (cbrt.f64 z)) (*.f64 (*.f64 -1/6 (cbrt.f64 z)) (pow.f64 y 3))))
(fma.f64 y (cbrt.f64 z) (fma.f64 -1/6 (*.f64 (pow.f64 y 3) (cbrt.f64 z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) (cbrt.f64 z)))))
(fma.f64 (pow.f64 y 5) (*.f64 1/120 (cbrt.f64 z)) (*.f64 (cbrt.f64 z) (fma.f64 -1/6 (pow.f64 y 3) y)))
(*.f64 (cbrt.f64 z) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) y) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 7))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 5))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 3))))))
(fma.f64 (cbrt.f64 z) y (fma.f64 -1/5040 (*.f64 (pow.f64 y 7) (cbrt.f64 z)) (fma.f64 1/120 (*.f64 (pow.f64 y 5) (cbrt.f64 z)) (*.f64 (*.f64 -1/6 (cbrt.f64 z)) (pow.f64 y 3)))))
(fma.f64 y (cbrt.f64 z) (fma.f64 -1/5040 (*.f64 (pow.f64 y 7) (cbrt.f64 z)) (fma.f64 -1/6 (*.f64 (pow.f64 y 3) (cbrt.f64 z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) (cbrt.f64 z))))))
(+.f64 (*.f64 (cbrt.f64 z) (fma.f64 -1/6 (pow.f64 y 3) y)) (*.f64 (cbrt.f64 z) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 (cbrt.f64 z) (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 z))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 z))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 z))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 z))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 z))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 z))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 z))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 z))
(-.f64 (+.f64 1 (cbrt.f64 z)) 1)
(+.f64 1 (-.f64 (cbrt.f64 z) 1))
(+.f64 (cbrt.f64 z) 0)
(cbrt.f64 z)
(*.f64 (cbrt.f64 z) 1)
(+.f64 1 (-.f64 (cbrt.f64 z) 1))
(+.f64 (cbrt.f64 z) 0)
(cbrt.f64 z)
(*.f64 1 (cbrt.f64 z))
(+.f64 1 (-.f64 (cbrt.f64 z) 1))
(+.f64 (cbrt.f64 z) 0)
(cbrt.f64 z)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z)))
(+.f64 1 (-.f64 (cbrt.f64 z) 1))
(+.f64 (cbrt.f64 z) 0)
(cbrt.f64 z)
(*.f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
(+.f64 1 (-.f64 (cbrt.f64 z) 1))
(+.f64 (cbrt.f64 z) 0)
(cbrt.f64 z)
(*.f64 (pow.f64 z 1/6) (pow.f64 z 1/6))
(+.f64 1 (-.f64 (cbrt.f64 z) 1))
(+.f64 (cbrt.f64 z) 0)
(cbrt.f64 z)
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z)))) (fabs.f64 (cbrt.f64 (cbrt.f64 z))))
(*.f64 (cbrt.f64 (cbrt.f64 z)) (sqrt.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 z))
(+.f64 1 (-.f64 (cbrt.f64 z) 1))
(+.f64 (cbrt.f64 z) 0)
(cbrt.f64 z)
(*.f64 (pow.f64 (sqrt.f64 z) 1/3) (pow.f64 (sqrt.f64 z) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(pow.f64 (pow.f64 (sqrt.f64 z) 1/6) 4)
(pow.f64 z 1/3)
(+.f64 1 (-.f64 (cbrt.f64 z) 1))
(+.f64 (cbrt.f64 z) 0)
(cbrt.f64 z)
(pow.f64 (cbrt.f64 z) 1)
(+.f64 1 (-.f64 (cbrt.f64 z) 1))
(+.f64 (cbrt.f64 z) 0)
(cbrt.f64 z)
(pow.f64 (pow.f64 (cbrt.f64 z) 2) 1/2)
(+.f64 1 (-.f64 (cbrt.f64 z) 1))
(+.f64 (cbrt.f64 z) 0)
(cbrt.f64 z)
(pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)
(+.f64 1 (-.f64 (cbrt.f64 z) 1))
(+.f64 (cbrt.f64 z) 0)
(cbrt.f64 z)
(pow.f64 (pow.f64 z 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 z) 1))
(+.f64 (cbrt.f64 z) 0)
(cbrt.f64 z)
(sqrt.f64 (pow.f64 (cbrt.f64 z) 2))
(+.f64 1 (-.f64 (cbrt.f64 z) 1))
(+.f64 (cbrt.f64 z) 0)
(cbrt.f64 z)
(fabs.f64 (cbrt.f64 z))
(+.f64 1 (-.f64 (cbrt.f64 z) 1))
(+.f64 (cbrt.f64 z) 0)
(cbrt.f64 z)
(log.f64 (exp.f64 (cbrt.f64 z)))
(+.f64 1 (-.f64 (cbrt.f64 z) 1))
(+.f64 (cbrt.f64 z) 0)
(cbrt.f64 z)
(expm1.f64 (log1p.f64 (cbrt.f64 z)))
(+.f64 1 (-.f64 (cbrt.f64 z) 1))
(+.f64 (cbrt.f64 z) 0)
(cbrt.f64 z)
(log1p.f64 (expm1.f64 (cbrt.f64 z)))
(+.f64 1 (-.f64 (cbrt.f64 z) 1))
(+.f64 (cbrt.f64 z) 0)
(cbrt.f64 z)
(exp.f64 (log.f64 (cbrt.f64 z)))
(+.f64 1 (-.f64 (cbrt.f64 z) 1))
(+.f64 (cbrt.f64 z) 0)
(cbrt.f64 z)
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 z) 2)) 1)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(*.f64 (pow.f64 (cbrt.f64 z) 2) 1)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(*.f64 1 (pow.f64 (cbrt.f64 z) 2))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (*.f64 z (cbrt.f64 z))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 z)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(*.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z))) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (*.f64 z (cbrt.f64 z))))
(*.f64 (sqrt.f64 z) (pow.f64 z 1/6))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(*.f64 (pow.f64 z 1/6) (*.f64 (pow.f64 z 1/6) (cbrt.f64 z)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(*.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 z)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(sqrt.f64 (*.f64 z (cbrt.f64 z)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(cbrt.f64 (*.f64 z z))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 z) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 z))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(-.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)
(*.f64 z (sin.f64 y))
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(*.f64 z (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(*.f64 z (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(*.f64 z (sin.f64 y))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(*.f64 z (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(*.f64 z (sin.f64 y))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 z (sin.f64 y))
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 3)))
(*.f64 z (sin.f64 y))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 3) (*.f64 z z)))
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(-.f64 (+.f64 1 (*.f64 (cbrt.f64 z) (sin.f64 y))) 1)
(*.f64 (sin.f64 y) (cbrt.f64 z))
(pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 1)
(*.f64 (sin.f64 y) (cbrt.f64 z))
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 3) 1/3)
(*.f64 (sin.f64 y) (cbrt.f64 z))
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 z) (sin.f64 y))) 3)
(*.f64 (sin.f64 y) (cbrt.f64 z))
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 z) (sin.f64 y))) 2)
(*.f64 (sin.f64 y) (cbrt.f64 z))
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 2))
(*.f64 (sin.f64 y) (cbrt.f64 z))
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 z)) (sin.f64 y)))
(*.f64 (sin.f64 y) (cbrt.f64 z))
(cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 3))
(*.f64 (sin.f64 y) (cbrt.f64 z))
(cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 3)))
(*.f64 (sin.f64 y) (cbrt.f64 z))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z))
(*.f64 (sin.f64 y) (cbrt.f64 z))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 z) (sin.f64 y))))
(*.f64 (sin.f64 y) (cbrt.f64 z))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 z) (sin.f64 y))))
(*.f64 (sin.f64 y) (cbrt.f64 z))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 z) (sin.f64 y))))
(*.f64 (sin.f64 y) (cbrt.f64 z))

localize5.0ms (0.1%)

Compiler

Compiled 14 to 7 computations (50% saved)

localize3.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (pow.f64 (+.f64 1 x) 1/3) 3)
1.2b
(pow.f64 (+.f64 1 x) 1/3)
Compiler

Compiled 22 to 18 computations (18.2% saved)

series4.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(pow.f64 (pow.f64 (+.f64 1 x) 1/3) 3)
0.0ms
x
@inf
(pow.f64 (pow.f64 (+.f64 1 x) 1/3) 3)
0.0ms
x
@0
(pow.f64 (+.f64 1 x) 1/3)
0.0ms
x
@-inf
(pow.f64 (pow.f64 (+.f64 1 x) 1/3) 3)
0.0ms
x
@inf
(pow.f64 (+.f64 1 x) 1/3)

rewrite43.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
647×pow1_binary64
616×add-log-exp_binary64
615×log1p-expm1-u_binary64
615×expm1-log1p-u_binary64
603×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
117910
2173910
Stop Event
node limit
Counts
2 → 53
Calls
Call 1
Inputs
(pow.f64 (+.f64 1 x) 1/3)
(pow.f64 (pow.f64 (+.f64 1 x) 1/3) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 1/6) (pow.f64 (+.f64 1 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 1/3) (pow.f64 (sqrt.f64 (+.f64 1 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (log1p.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (*.f64 x x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (pow.f64 (+.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 1/6) (*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (pow.f64 (+.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2) 3) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/6) 3) (pow.f64 (pow.f64 (+.f64 1 x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (+.f64 1 x) 1/6)) (pow.f64 (+.f64 1 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (+.f64 1 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 x 3))) (neg.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 x x))) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) 1) (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1)))))

simplify43.0ms (0.7%)

Algorithm
egg-herbie
Rules
562×distribute-rgt-in_binary64
537×associate-/r*_binary64
510×distribute-lft-in_binary64
401×fma-neg_binary64
292×div-sub_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0124629
1293565
2724529
32789523
Stop Event
node limit
Counts
61 → 73
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/3 x))
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x))))
1
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
(-.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 1)
(*.f64 1 (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (+.f64 1 x) 1/6) (pow.f64 (+.f64 1 x) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 1/3) (pow.f64 (sqrt.f64 (+.f64 1 x)) 1/3))
(/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (-.f64 1 x)))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 1 x))))
(cbrt.f64 (+.f64 1 x))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 1 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 1 x))))
(exp.f64 (*.f64 1/3 (log1p.f64 x)))
(+.f64 1 x)
(+.f64 x 1)
(-.f64 (+.f64 1 (+.f64 1 x)) 1)
(-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (*.f64 x x) (-.f64 1 x)))
(*.f64 1 (+.f64 1 x))
(*.f64 (+.f64 1 x) 1)
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (pow.f64 (+.f64 1 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (cbrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) 2))))
(*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (-.f64 (*.f64 x x) x))))
(*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 x)))
(*.f64 (pow.f64 (+.f64 1 x) 1/6) (*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (pow.f64 (+.f64 1 x) 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2) 3) (cbrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/6) 3) (pow.f64 (pow.f64 (+.f64 1 x) 1/6) 3))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1) (cbrt.f64 (+.f64 1 x)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (+.f64 1 x) 1/6)) (pow.f64 (+.f64 1 x) 1/6))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (+.f64 1 (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 1 x)))
(/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 x 3))) (neg.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(/.f64 (neg.f64 (-.f64 1 (*.f64 x x))) (neg.f64 (-.f64 1 x)))
(/.f64 (-.f64 (*.f64 x x) 1) (-.f64 x 1))
(sqrt.f64 (pow.f64 (+.f64 1 x) 2))
(log.f64 (exp.f64 (+.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3))
(expm1.f64 (log1p.f64 (+.f64 1 x)))
(log1p.f64 (expm1.f64 (+.f64 1 x)))
(exp.f64 (log1p.f64 x))
(fma.f64 1 x 1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1)
Outputs
1
(+.f64 1 (*.f64 1/3 x))
(fma.f64 1/3 x 1)
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (*.f64 1/3 x)))
(fma.f64 -1/9 (*.f64 x x) (fma.f64 1/3 x 1))
(fma.f64 1/3 x (fma.f64 x (*.f64 x -1/9) 1))
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x))))
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (fma.f64 5/81 (pow.f64 x 3) (*.f64 1/3 x))))
(+.f64 (fma.f64 -1/9 (*.f64 x x) (fma.f64 1/3 x 1)) (*.f64 5/81 (pow.f64 x 3)))
(fma.f64 x (*.f64 x -1/9) (fma.f64 1/3 x (fma.f64 5/81 (pow.f64 x 3) 1)))
1
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
(-.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(*.f64 1 (cbrt.f64 (+.f64 1 x)))
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(*.f64 (cbrt.f64 (+.f64 1 x)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2))
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 (+.f64 1 x) 1/6) (pow.f64 (+.f64 1 x) 1/6))
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 1 x)))
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 1/3) (pow.f64 (sqrt.f64 (+.f64 1 x)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 1/6) 4)
(/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (-.f64 1 x)))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))
(sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 1 x))))
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(cbrt.f64 (+.f64 1 x))
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 1 x))))
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 1 x))))
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(exp.f64 (*.f64 1/3 (log1p.f64 x)))
(pow.f64 (exp.f64 1/3) (log1p.f64 x))
(cbrt.f64 (exp.f64 (log1p.f64 x)))
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 x)
(-.f64 (+.f64 1 (+.f64 1 x)) 1)
(+.f64 1 x)
(-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (*.f64 x x) (-.f64 1 x)))
(+.f64 1 x)
(*.f64 1 (+.f64 1 x))
(+.f64 1 x)
(*.f64 (+.f64 1 x) 1)
(+.f64 1 x)
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (pow.f64 (+.f64 1 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (pow.f64 (+.f64 1 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) 2))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (pow.f64 (+.f64 1 x) 2)))
(*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(+.f64 1 x)
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (-.f64 (*.f64 x x) x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))
(*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 x)))
(+.f64 1 x)
(*.f64 (pow.f64 (+.f64 1 x) 1/6) (*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (pow.f64 (+.f64 1 x) 2))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (pow.f64 (+.f64 1 x) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2) 3) (cbrt.f64 (+.f64 1 x)))
(+.f64 1 x)
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/6) 3) (pow.f64 (pow.f64 (+.f64 1 x) 1/6) 3))
(+.f64 1 x)
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (pow.f64 (+.f64 1 x) 2)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (pow.f64 (+.f64 1 x) 2)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (+.f64 1 x) 1/6)) (pow.f64 (+.f64 1 x) 1/6))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (pow.f64 (+.f64 1 x) 2)))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (+.f64 1 (pow.f64 x 3))))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (-.f64 (*.f64 x x) x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))
(/.f64 1 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))
(+.f64 1 x)
(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x)))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (-.f64 (*.f64 x x) x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 1 x)))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (-.f64 (*.f64 x x) x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x))
(+.f64 1 x)
(/.f64 (neg.f64 (+.f64 1 (pow.f64 x 3))) (neg.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (-.f64 (*.f64 x x) x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (neg.f64 (-.f64 1 (*.f64 x x))) (neg.f64 (-.f64 1 x)))
(+.f64 1 x)
(/.f64 (-.f64 (*.f64 x x) 1) (-.f64 x 1))
(+.f64 1 x)
(sqrt.f64 (pow.f64 (+.f64 1 x) 2))
(+.f64 1 x)
(log.f64 (exp.f64 (+.f64 1 x)))
(+.f64 1 x)
(cbrt.f64 (pow.f64 (+.f64 1 x) 3))
(+.f64 1 x)
(expm1.f64 (log1p.f64 (+.f64 1 x)))
(+.f64 1 x)
(log1p.f64 (expm1.f64 (+.f64 1 x)))
(+.f64 1 x)
(exp.f64 (log1p.f64 x))
(fma.f64 1 x 1)
(+.f64 1 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1)
(+.f64 1 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1)
(+.f64 1 x)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (cos.f64 y) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
0.1b
(*.f64 z (sin.f64 y))
0.2b
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
5.5b
(sqrt.f64 (*.f64 z (sin.f64 y)))
Compiler

Compiled 36 to 13 computations (63.9% saved)

series3.0ms (0%)

Counts
1 → 10
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@0
(-.f64 (cos.f64 y) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
1.0ms
z
@-inf
(-.f64 (cos.f64 y) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
0.0ms
z
@inf
(-.f64 (cos.f64 y) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
0.0ms
z
@0
(-.f64 (cos.f64 y) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
0.0ms
y
@-inf
(-.f64 (cos.f64 y) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))

rewrite45.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
964×pow1_binary64
895×add-log-exp_binary64
894×log1p-expm1-u_binary64
894×expm1-log1p-u_binary64
99×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
121511
2246011
Stop Event
node limit
Counts
1 → 38
Calls
Call 1
Inputs
(-.f64 (cos.f64 y) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 (sin.f64 y))) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))) (*.f64 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))) (-.f64 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))))))

simplify51.0ms (0.8%)

Algorithm
egg-herbie
Rules
821×fma-neg_binary64
512×fma-def_binary64
379×associate-/l/_binary64
296×distribute-rgt-neg-in_binary64
226×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0103810
1292750
21130750
34816680
Stop Event
node limit
Counts
48 → 46
Calls
Call 1
Inputs
1
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(cos.f64 y)
(+.f64 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 (cos.f64 y) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (cos.f64 y))
(*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1)
(*.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(/.f64 1 (/.f64 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))) (*.f64 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))) (-.f64 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y)))))
(pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1)
(pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 1 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
Outputs
1
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(cos.f64 y)
(+.f64 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (cos.f64 y))) (pow.f64 (cos.f64 y) 2)))
(*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) -1)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (cos.f64 y))) (pow.f64 (cos.f64 y) 2)))
(/.f64 1 (/.f64 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) -1)
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (cos.f64 y))) (pow.f64 (cos.f64 y) 2)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) -1)
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (cos.f64 y))) (pow.f64 (cos.f64 y) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) -1)
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))) (*.f64 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (cos.f64 y))) (pow.f64 (cos.f64 y) 2)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))) (-.f64 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y)))))
(*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) -1)
(pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3) 1/3)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(log.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 1 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))

eval90.0ms (1.4%)

Compiler

Compiled 5731 to 2555 computations (55.4% saved)

prune75.0ms (1.2%)

Pruning

24 alts after pruning (16 fresh and 8 done)

PrunedKeptTotal
New3568364
Fresh3811
Picked011
Done178
Total36024384
Error
0.0b
Counts
384 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
40.8b
(pow.f64 (pow.f64 (+.f64 1 x) 1/3) 3)
18.7b
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))) 3)
23.7b
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3)
45.2b
(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 1 x)))
40.7b
(/.f64 1 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))
31.9b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
1.9b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z))))
14.6b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) (sin.f64 y))))
0.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
23.9b
(-.f64 (+.f64 x 1) (*.f64 y z))
48.0b
(-.f64 (cos.f64 y) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
46.4b
(-.f64 (cos.f64 y) (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
45.6b
(-.f64 (cos.f64 y) (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
30.9b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
48.6b
(-.f64 1 (*.f64 y z))
16.0b
(+.f64 (cos.f64 y) x)
23.1b
(+.f64 x 1)
49.1b
(+.f64 1 (-.f64 (*.f64 (*.f64 y y) -1/2) (*.f64 y z)))
47.8b
(*.f64 (sin.f64 y) (neg.f64 z))
46.2b
(log.f64 (exp.f64 (+.f64 (cos.f64 y) x)))
40.6b
(exp.f64 (log1p.f64 x))
45.6b
(cos.f64 y)
33.4b
x
52.3b
1
Compiler

Compiled 457 to 333 computations (27.1% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(pow.f64 (cbrt.f64 z) 2)
0.6b
(cbrt.f64 z)
2.5b
(*.f64 (pow.f64 (sin.f64 y) 3) z)
16.8b
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z))
Compiler

Compiled 68 to 35 computations (48.5% saved)

series11.0ms (0.2%)

Counts
2 → 36
Calls

12 calls:

TimeVariablePointExpression
5.0ms
y
@inf
(*.f64 (pow.f64 (sin.f64 y) 3) z)
1.0ms
y
@inf
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z))
1.0ms
z
@0
(*.f64 (pow.f64 (sin.f64 y) 3) z)
1.0ms
y
@-inf
(*.f64 (pow.f64 (sin.f64 y) 3) z)
1.0ms
y
@0
(*.f64 (pow.f64 (sin.f64 y) 3) z)

rewrite44.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
697×pow1_binary64
649×add-log-exp_binary64
649×log1p-expm1-u_binary64
649×expm1-log1p-u_binary64
632×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
116617
2180417
Stop Event
node limit
Counts
2 → 35
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z))
(*.f64 (pow.f64 (sin.f64 y) 3) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 y) (cbrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (cbrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 y) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))) (sqrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 y) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) (cbrt.f64 z)) 2) 1/3) (cbrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 z) (pow.f64 (sin.f64 y) 3/2)) 1/3) (pow.f64 (*.f64 (sqrt.f64 z) (pow.f64 (sin.f64 y) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) (cbrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 (sin.f64 y) 3) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) (cbrt.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 z) (pow.f64 (sin.f64 y) 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) 6) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 y) 3)) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (pow.f64 (sin.f64 y) 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z)))))))

simplify48.0ms (0.7%)

Algorithm
egg-herbie
Rules
592×distribute-rgt-in_binary64
558×log-prod_binary64
554×distribute-lft-in_binary64
511×fma-def_binary64
360×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0124741
1336738
21111717
33744698
Stop Event
node limit
Counts
71 → 70
Calls
Call 1
Inputs
(*.f64 (pow.f64 (*.f64 1 z) 1/3) y)
(+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) y) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 3))))
(+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) y) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 5))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 3)))))
(+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) y) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 7))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 5))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 3))))))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (pow.f64 y 3) z)
(+.f64 (*.f64 (pow.f64 y 3) z) (*.f64 -1/2 (*.f64 (pow.f64 y 5) z)))
(+.f64 (*.f64 13/120 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 (pow.f64 y 3) z) (*.f64 -1/2 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 13/120 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 (pow.f64 y 3) z) (+.f64 (*.f64 -41/3024 (*.f64 (pow.f64 y 9) z)) (*.f64 -1/2 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) (cbrt.f64 z))) 1)
(*.f64 (sin.f64 y) (cbrt.f64 z))
(*.f64 (*.f64 (sin.f64 y) (cbrt.f64 z)) 1)
(*.f64 1 (*.f64 (sin.f64 y) (cbrt.f64 z)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))) (sqrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 z)))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 y) (cbrt.f64 z)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) (cbrt.f64 z)) 2) 1/3) (cbrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 z) (pow.f64 (sin.f64 y) 3/2)) 1/3) (pow.f64 (*.f64 (sqrt.f64 z) (pow.f64 (sin.f64 y) 3/2)) 1/3))
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z) 1/3)
(pow.f64 (*.f64 (sin.f64 y) (cbrt.f64 z)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cbrt.f64 z)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cbrt.f64 z)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))))
(-.f64 (+.f64 1 (*.f64 (pow.f64 (sin.f64 y) 3) z)) 1)
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z) 1)
(pow.f64 (*.f64 (sin.f64 y) (cbrt.f64 z)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 z) (pow.f64 (sin.f64 y) 3/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) 6) (*.f64 z z)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 y) 3)) z))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 3) (pow.f64 z 3)))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (pow.f64 (sin.f64 y) 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z)))
Outputs
(*.f64 (pow.f64 (*.f64 1 z) 1/3) y)
(*.f64 (cbrt.f64 z) y)
(+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) y) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 3))))
(fma.f64 (cbrt.f64 z) y (*.f64 -1/6 (*.f64 (cbrt.f64 z) (pow.f64 y 3))))
(fma.f64 (cbrt.f64 z) y (*.f64 (cbrt.f64 z) (*.f64 (pow.f64 y 3) -1/6)))
(*.f64 (cbrt.f64 z) (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) y) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 5))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 3)))))
(fma.f64 (cbrt.f64 z) y (fma.f64 1/120 (*.f64 (cbrt.f64 z) (pow.f64 y 5)) (*.f64 -1/6 (*.f64 (cbrt.f64 z) (pow.f64 y 3)))))
(fma.f64 (cbrt.f64 z) y (fma.f64 -1/6 (*.f64 (cbrt.f64 z) (pow.f64 y 3)) (*.f64 (cbrt.f64 z) (*.f64 (pow.f64 y 5) 1/120))))
(fma.f64 (cbrt.f64 z) y (*.f64 (cbrt.f64 z) (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 (cbrt.f64 z) (+.f64 y (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) y) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 7))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 5))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 3))))))
(fma.f64 (cbrt.f64 z) y (fma.f64 -1/5040 (*.f64 (cbrt.f64 z) (pow.f64 y 7)) (fma.f64 1/120 (*.f64 (cbrt.f64 z) (pow.f64 y 5)) (*.f64 -1/6 (*.f64 (cbrt.f64 z) (pow.f64 y 3))))))
(fma.f64 (cbrt.f64 z) y (fma.f64 -1/5040 (*.f64 (cbrt.f64 z) (pow.f64 y 7)) (fma.f64 -1/6 (*.f64 (cbrt.f64 z) (pow.f64 y 3)) (*.f64 (cbrt.f64 z) (*.f64 (pow.f64 y 5) 1/120)))))
(+.f64 (*.f64 (cbrt.f64 z) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) (*.f64 (cbrt.f64 z) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 (cbrt.f64 z) (+.f64 (+.f64 (*.f64 -1/5040 (pow.f64 y 7)) y) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/6 (pow.f64 y 3)))))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (pow.f64 y 3) z)
(*.f64 z (pow.f64 y 3))
(+.f64 (*.f64 (pow.f64 y 3) z) (*.f64 -1/2 (*.f64 (pow.f64 y 5) z)))
(fma.f64 (pow.f64 y 3) z (*.f64 -1/2 (*.f64 z (pow.f64 y 5))))
(*.f64 z (+.f64 (*.f64 (pow.f64 y 5) -1/2) (pow.f64 y 3)))
(*.f64 z (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3)))
(+.f64 (*.f64 13/120 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 (pow.f64 y 3) z) (*.f64 -1/2 (*.f64 (pow.f64 y 5) z))))
(fma.f64 13/120 (*.f64 z (pow.f64 y 7)) (fma.f64 (pow.f64 y 3) z (*.f64 -1/2 (*.f64 z (pow.f64 y 5)))))
(fma.f64 13/120 (*.f64 z (pow.f64 y 7)) (*.f64 z (+.f64 (*.f64 (pow.f64 y 5) -1/2) (pow.f64 y 3))))
(*.f64 z (+.f64 (*.f64 (pow.f64 y 5) -1/2) (fma.f64 (pow.f64 y 7) 13/120 (pow.f64 y 3))))
(*.f64 z (+.f64 (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3)) (*.f64 (pow.f64 y 7) 13/120)))
(+.f64 (*.f64 13/120 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 (pow.f64 y 3) z) (+.f64 (*.f64 -41/3024 (*.f64 (pow.f64 y 9) z)) (*.f64 -1/2 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 13/120 (*.f64 z (pow.f64 y 7)) (fma.f64 (pow.f64 y 3) z (fma.f64 -41/3024 (*.f64 z (pow.f64 y 9)) (*.f64 -1/2 (*.f64 z (pow.f64 y 5))))))
(fma.f64 13/120 (*.f64 z (pow.f64 y 7)) (fma.f64 z (pow.f64 y 3) (*.f64 z (+.f64 (*.f64 (pow.f64 y 5) -1/2) (*.f64 -41/3024 (pow.f64 y 9))))))
(*.f64 z (+.f64 (fma.f64 (pow.f64 y 5) -1/2 (*.f64 -41/3024 (pow.f64 y 9))) (fma.f64 (pow.f64 y 7) 13/120 (pow.f64 y 3))))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) (cbrt.f64 z))) 1)
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) (cbrt.f64 z)) 1)
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 1 (*.f64 (sin.f64 y) (cbrt.f64 z)))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))) 2))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))) (sqrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 z)))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 y) (cbrt.f64 z)))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) (cbrt.f64 z)) 2) 1/3) (cbrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 z) (pow.f64 (sin.f64 y) 3/2)) 1/3) (pow.f64 (*.f64 (sqrt.f64 z) (pow.f64 (sin.f64 y) 3/2)) 1/3))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 z) (pow.f64 (sin.f64 y) 3/2))) (cbrt.f64 (*.f64 (sqrt.f64 z) (pow.f64 (sin.f64 y) 3/2))))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 y) 3/2) (sqrt.f64 z)) 1/6) 4)
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z) 1/3)
(*.f64 (cbrt.f64 z) (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) (cbrt.f64 z)) 1)
(*.f64 (cbrt.f64 z) (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))) 3)
(*.f64 (cbrt.f64 z) (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))) 2)
(*.f64 (cbrt.f64 z) (sin.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cbrt.f64 z)) 2))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cbrt.f64 z)))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (cbrt.f64 z))))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(-.f64 (+.f64 1 (*.f64 (pow.f64 (sin.f64 y) 3) z)) 1)
(*.f64 z (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z) 1)
(*.f64 z (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 (sin.f64 y) (cbrt.f64 z)) 3)
(*.f64 z (pow.f64 (sin.f64 y) 3))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z) 3) 1/3)
(*.f64 z (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 (sqrt.f64 z) (pow.f64 (sin.f64 y) 3/2)) 2)
(*.f64 z (pow.f64 (sin.f64 y) 3))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) 6) (*.f64 z z)))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 y) 3)) z))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z) 3))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 3) (pow.f64 z 3)))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (pow.f64 (sin.f64 y) 3) 3)))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z)))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z)))
(*.f64 z (pow.f64 (sin.f64 y) 3))
(exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z)))
(*.f64 z (pow.f64 (sin.f64 y) 3))

localize8.0ms (0.1%)

Compiler

Compiled 20 to 10 computations (50% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 6 computations (57.1% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite34.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

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

simplify41.0ms (0.6%)

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

Useful iterations: 3 (0.0ms)

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (+.f64 x 1))
0.4b
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3)
Compiler

Compiled 19 to 15 computations (21.1% saved)

series2.0ms (0%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3)
0.0ms
x
@-inf
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3)
0.0ms
x
@inf
(cbrt.f64 (+.f64 x 1))
0.0ms
x
@0
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3)
0.0ms
x
@-inf
(cbrt.f64 (+.f64 x 1))

rewrite40.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115010
2151510
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3)
(cbrt.f64 (+.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/6) (*.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) 3) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3) (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (+.f64 x 1) 1/6)) (pow.f64 (+.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x -1) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -1)) (neg.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/3))))))

simplify42.0ms (0.7%)

Algorithm
egg-herbie
Rules
509×unswap-sqr_binary64
416×fma-neg_binary64
403×distribute-rgt-in_binary64
403×exp-prod_binary64
384×cube-prod_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0129633
1292562
2810461
33382431
Stop Event
node limit
Counts
64 → 81
Calls
Call 1
Inputs
1
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
1
(+.f64 1 (*.f64 1/3 x))
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x))))
(+.f64 x 1)
(+.f64 1 x)
(-.f64 (+.f64 1 (+.f64 x 1)) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))
(*.f64 1 (+.f64 x 1))
(*.f64 (+.f64 x 1) 1)
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (*.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1 x))))
(*.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) 3) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3) (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (cbrt.f64 (+.f64 x 1)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (+.f64 x 1) 1/6)) (pow.f64 (+.f64 x 1) 1/6))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x -1) (fma.f64 x x -1)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x)))
(/.f64 (fma.f64 x x -1) (+.f64 x -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (neg.f64 (fma.f64 x x -1)) (neg.f64 (+.f64 x -1)))
(/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 x 1) 2))
(log.f64 (exp.f64 (+.f64 x 1)))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1)))
(log1p.f64 (expm1.f64 (+.f64 x 1)))
(exp.f64 (log1p.f64 x))
(fma.f64 1 x 1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1)
(-.f64 (+.f64 1 (cbrt.f64 (+.f64 x 1))) 1)
(*.f64 1 (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))
(pow.f64 (+.f64 x 1) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (log1p.f64 x) 1/3))
Outputs
1
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
1
(+.f64 1 (*.f64 1/3 x))
(+.f64 1 (*.f64 x 1/3))
(fma.f64 x 1/3 1)
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (*.f64 x 1/3)))
(fma.f64 -1/9 (*.f64 x x) (fma.f64 x 1/3 1))
(fma.f64 x (*.f64 x -1/9) (fma.f64 x 1/3 1))
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x))))
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (fma.f64 5/81 (pow.f64 x 3) (*.f64 x 1/3))))
(+.f64 (fma.f64 -1/9 (*.f64 x x) (fma.f64 x 1/3 1)) (*.f64 5/81 (pow.f64 x 3)))
(fma.f64 x (*.f64 x -1/9) (fma.f64 x 1/3 (fma.f64 5/81 (pow.f64 x 3) 1)))
(+.f64 x 1)
(+.f64 1 x)
(+.f64 1 x)
(-.f64 (+.f64 1 (+.f64 x 1)) 1)
(+.f64 1 x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -1)) x) (/.f64 -1 (+.f64 x -1)))
(/.f64 (fma.f64 x x -1) (+.f64 x -1))
(/.f64 (+.f64 1 x) 1)
(*.f64 1 (+.f64 x 1))
(+.f64 1 x)
(*.f64 (+.f64 x 1) 1)
(+.f64 1 x)
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(+.f64 1 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)))
(+.f64 1 x)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(+.f64 1 x)
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (*.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(+.f64 1 x)
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))
(+.f64 1 x)
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))
(*.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -1)) x) (/.f64 -1 (+.f64 x -1)))
(/.f64 (fma.f64 x x -1) (+.f64 x -1))
(/.f64 (+.f64 1 x) 1)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) 3) (cbrt.f64 (+.f64 x 1)))
(+.f64 1 x)
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3) (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3))
(+.f64 1 x)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (cbrt.f64 (+.f64 x 1)))
(+.f64 1 x)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))
(+.f64 1 x)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (+.f64 x 1) 1/6)) (pow.f64 (+.f64 x 1) 1/6))
(+.f64 1 x)
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))
(/.f64 1 (/.f64 (+.f64 x -1) (fma.f64 x x -1)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -1)) x) (/.f64 -1 (+.f64 x -1)))
(/.f64 (fma.f64 x x -1) (+.f64 x -1))
(/.f64 (+.f64 1 x) 1)
(/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (fma.f64 x x -1) (+.f64 x -1))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -1)) x) (/.f64 -1 (+.f64 x -1)))
(/.f64 (+.f64 1 x) 1)
(/.f64 (neg.f64 (+.f64 1 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (neg.f64 (fma.f64 x x -1)) (neg.f64 (+.f64 x -1)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -1)) x) (/.f64 -1 (+.f64 x -1)))
(/.f64 (fma.f64 x x -1) (+.f64 x -1))
(/.f64 (+.f64 1 x) 1)
(/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -1)) x) (/.f64 -1 (+.f64 x -1)))
(/.f64 (fma.f64 x x -1) (+.f64 x -1))
(/.f64 (+.f64 1 x) 1)
(sqrt.f64 (pow.f64 (+.f64 x 1) 2))
(+.f64 1 x)
(log.f64 (exp.f64 (+.f64 x 1)))
(+.f64 1 x)
(cbrt.f64 (pow.f64 (+.f64 x 1) 3))
(+.f64 1 x)
(expm1.f64 (log1p.f64 (+.f64 x 1)))
(+.f64 1 x)
(log1p.f64 (expm1.f64 (+.f64 x 1)))
(+.f64 1 x)
(exp.f64 (log1p.f64 x))
(fma.f64 1 x 1)
(+.f64 1 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1)
(+.f64 1 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1)
(+.f64 1 x)
(-.f64 (+.f64 1 (cbrt.f64 (+.f64 x 1))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(*.f64 1 (cbrt.f64 (+.f64 x 1)))
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(*.f64 (cbrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2))
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3))
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6))
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x 1)))
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 1/6) 4)
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))
(/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))
(pow.f64 (+.f64 x 1) 1/3)
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 (cbrt.f64 (+.f64 1 x)) 0)
(cbrt.f64 (+.f64 1 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/3))
(exp.f64 (*.f64 1/3 (log1p.f64 x)))
(cbrt.f64 (exp.f64 (log1p.f64 x)))

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 35 to 9 computations (74.3% saved)

series7.0ms (0.1%)

Counts
3 → 60
Calls

18 calls:

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

rewrite74.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
761×prod-diff_binary64
514×log-prod_binary64
352×pow-prod-down_binary64
255×pow2_binary64
245×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
119225
2260025
Stop Event
node limit
Counts
3 → 202
Calls
Call 1
Inputs
(*.f64 (sin.f64 y) (sqrt.f64 z))
(*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(-.f64 (cos.f64 y) (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 1))))))
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(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 y) z))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2)) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (/.f64 1 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (cos.f64 y)) (pow.f64 (cos.f64 y) 2))) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (/.f64 1 (fma.f64 (sin.f64 y) z (cos.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (/.f64 1 (fma.f64 (sin.f64 y) z (cos.f64 y))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (/.f64 1 (fma.f64 (sin.f64 y) z (cos.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 y) z))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2)) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (/.f64 1 (fma.f64 (sin.f64 y) z (cos.f64 y))) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 y) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sin.f64 y) (sqrt.f64 z)) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z))) (sqrt.f64 (*.f64 (sin.f64 y) z)) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 (sin.f64 y) z) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) z))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) z))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) z))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) z))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) z))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 y) z))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2)) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) z))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) z))) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))) (cbrt.f64 (*.f64 (sin.f64 y) z)) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sqrt.f64 z))) 1) (sqrt.f64 z) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sqrt.f64 z))) (cbrt.f64 z)) (pow.f64 z 1/6) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sqrt.f64 z))) (pow.f64 z 1/4)) (pow.f64 z 1/4) (cos.f64 y))))))

simplify113.0ms (1.7%)

Algorithm
egg-herbie
Rules
495×fma-neg_binary64
336×distribute-rgt-neg-in_binary64
288×distribute-lft-neg-in_binary64
249×associate-*r*_binary64
228×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05176823
113375568
242054228
Stop Event
node limit
Counts
262 → 285
Calls
Call 1
Inputs
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))))
(+.f64 (*.f64 y (sqrt.f64 z)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))) (*.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z)))))
(+.f64 (*.f64 y (sqrt.f64 z)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) (sqrt.f64 z))) (*.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z))))))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(cos.f64 y)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(+.f64 0 (*.f64 (sin.f64 y) (sqrt.f64 z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)))) 1)
(pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 1)
(pow.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 2)
(sqrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 1))
(+.f64 0 (*.f64 (sin.f64 y) z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) z)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) 1/3)
(pow.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 (sin.f64 y))) 3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (cos.f64 y) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))
(+.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 (sin.f64 y) z)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 y) z))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2)) (*.f64 (sin.f64 y) z)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) z)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (sin.f64 y) z)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) (fma.f64 -1 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))) (cbrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z)))
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (cos.f64 y))
(+.f64 0 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(+.f64 (fma.f64 (cos.f64 y) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z)) (cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z))) (cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z)) (cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2))))))
(+.f64 (fma.f64 1 (cos.f64 y) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z)) (cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z))) (cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z)) (cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2))))))
(+.f64 (fma.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z)) (cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z))) (cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z)) (cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2))))))
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(fma.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (/.f64 1 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (cos.f64 y)) (pow.f64 (cos.f64 y) 2))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (/.f64 1 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (cos.f64 y)) (pow.f64 (cos.f64 y) 2))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 (sin.f64 y) z)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (/.f64 1 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (cos.f64 y)) (pow.f64 (cos.f64 y) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 y) z))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2)) (*.f64 (sin.f64 y) z)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (/.f64 1 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (cos.f64 y)) (pow.f64 (cos.f64 y) 2))) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) z)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (/.f64 1 (fma.f64 (sin.f64 y) z (cos.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (/.f64 1 (fma.f64 (sin.f64 y) z (cos.f64 y))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 (sin.f64 y) z)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (/.f64 1 (fma.f64 (sin.f64 y) z (cos.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 y) z))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2)) (*.f64 (sin.f64 y) z)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (/.f64 1 (fma.f64 (sin.f64 y) z (cos.f64 y))) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) z)))
(fma.f64 (*.f64 (sin.f64 y) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z) (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (cos.f64 y))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (cos.f64 y))
(fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sin.f64 y) (sqrt.f64 z)) (cos.f64 y))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z))) (sqrt.f64 (*.f64 (sin.f64 y) z)) (cos.f64 y))
(fma.f64 -1 (*.f64 (sin.f64 y) z) (cos.f64 y))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) z))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) z))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) z))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) z))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 (sin.f64 y) z)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) z))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 y) z))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2)) (*.f64 (sin.f64 y) z)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) z))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) z))) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) z)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))) (cbrt.f64 (*.f64 (sin.f64 y) z)) (cos.f64 y))
(fma.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sqrt.f64 z))) 1) (sqrt.f64 z) (cos.f64 y))
(fma.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sqrt.f64 z))) (cbrt.f64 z)) (pow.f64 z 1/6) (cos.f64 y))
(fma.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sqrt.f64 z))) (pow.f64 z 1/4)) (pow.f64 z 1/4) (cos.f64 y))
Outputs
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))))
(fma.f64 y (sqrt.f64 z) (*.f64 -1/6 (*.f64 (sqrt.f64 z) (pow.f64 y 3))))
(*.f64 (sqrt.f64 z) (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y))
(+.f64 (*.f64 y (sqrt.f64 z)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))) (*.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z)))))
(fma.f64 y (sqrt.f64 z) (fma.f64 -1/6 (*.f64 (sqrt.f64 z) (pow.f64 y 3)) (*.f64 1/120 (*.f64 (sqrt.f64 z) (pow.f64 y 5)))))
(fma.f64 y (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (*.f64 y (sqrt.f64 z)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) (sqrt.f64 z))) (*.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z))))))
(fma.f64 y (sqrt.f64 z) (fma.f64 -1/6 (*.f64 (sqrt.f64 z) (pow.f64 y 3)) (fma.f64 -1/5040 (*.f64 (sqrt.f64 z) (pow.f64 y 7)) (*.f64 1/120 (*.f64 (sqrt.f64 z) (pow.f64 y 5))))))
(+.f64 (*.f64 (sqrt.f64 z) (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)) (*.f64 (sqrt.f64 z) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))
(*.f64 z (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) y)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (neg.f64 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (*.f64 -1/2 (*.f64 y y))))
(+.f64 1 (-.f64 (*.f64 y (*.f64 y -1/2)) (*.f64 y z)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) (*.f64 (*.f64 z (pow.f64 y 3)) 1/6))))
(+.f64 1 (-.f64 (fma.f64 (*.f64 z (pow.f64 y 3)) 1/6 (*.f64 y (*.f64 y -1/2))) (*.f64 y z)))
(+.f64 (-.f64 1 (*.f64 y z)) (fma.f64 (*.f64 z (pow.f64 y 3)) 1/6 (*.f64 y (*.f64 y -1/2))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(cos.f64 y)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (cos.f64 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(+.f64 (cos.f64 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(+.f64 (cos.f64 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(+.f64 0 (*.f64 (sin.f64 y) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y)))))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)))) 1)
(*.f64 (sqrt.f64 z) (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 1)
(*.f64 (sqrt.f64 z) (sin.f64 y))
(pow.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)) 1/2)
(sqrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 3) 1/3)
(*.f64 (sqrt.f64 z) (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 3)
(*.f64 (sqrt.f64 z) (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 2)
(*.f64 (sqrt.f64 z) (sin.f64 y))
(sqrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y)))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)))))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 3))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 1))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(+.f64 0 (*.f64 (sin.f64 y) z))
(*.f64 z (sin.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) z)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))
(*.f64 z (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)
(*.f64 z (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(*.f64 z (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) 1/2)
(*.f64 z (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(*.f64 z (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(*.f64 z (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(*.f64 z (sin.f64 y))
(pow.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) 1/3)
(*.f64 z (sin.f64 y))
(pow.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 (sin.f64 y))) 3)
(*.f64 z (sin.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(*.f64 z (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(*.f64 z (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(*.f64 z (sin.f64 y))
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(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sin.f64 y) (sqrt.f64 z)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z))) (sqrt.f64 (*.f64 (sin.f64 y) z)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(fma.f64 -1 (*.f64 (sin.f64 y) z) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) z))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) z))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) z))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) z))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 (sin.f64 y) z)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) z))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 y) z))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2)) (*.f64 (sin.f64 y) z)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))))))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) z))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) z))) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) z)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))) (cbrt.f64 (*.f64 (sin.f64 y) z)) (cos.f64 y))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (cbrt.f64 (*.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sqrt.f64 z))) 1) (sqrt.f64 z) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(fma.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sqrt.f64 z))) (cbrt.f64 z)) (pow.f64 z 1/6) (cos.f64 y))
(+.f64 (fma.f64 (cos.f64 y) 1 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (sin.f64 y)) (pow.f64 z 1/6)) (neg.f64 (cbrt.f64 z)))) (fma.f64 (*.f64 (pow.f64 z 1/6) (*.f64 (sin.f64 y) (neg.f64 (sqrt.f64 z)))) (cbrt.f64 z) (*.f64 (cbrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) (sin.f64 y)) (pow.f64 z 1/6)))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sin.f64 y)) (*.f64 (pow.f64 z 1/6) (cbrt.f64 z)))) (*.f64 0 (*.f64 (*.f64 (sqrt.f64 z) (sin.f64 y)) (*.f64 (pow.f64 z 1/6) (cbrt.f64 z)))))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 z)) (pow.f64 z 1/6))))
(fma.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sqrt.f64 z))) (pow.f64 z 1/4)) (pow.f64 z 1/4) (cos.f64 y))
(+.f64 (fma.f64 (cos.f64 y) 1 (*.f64 (pow.f64 z 1/4) (*.f64 (neg.f64 (pow.f64 z 1/4)) (*.f64 (sqrt.f64 z) (sin.f64 y))))) (fma.f64 (neg.f64 (pow.f64 z 1/4)) (*.f64 (sin.f64 y) (*.f64 (sqrt.f64 z) (pow.f64 z 1/4))) (*.f64 (pow.f64 z 1/4) (*.f64 (sin.f64 y) (*.f64 (sqrt.f64 z) (pow.f64 z 1/4))))))
(+.f64 (fma.f64 (*.f64 (sin.f64 y) (*.f64 (sqrt.f64 z) (pow.f64 z 1/4))) (neg.f64 (pow.f64 z 1/4)) (cos.f64 y)) (*.f64 0 (*.f64 (sin.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (pow.f64 z 1/4)) (pow.f64 z 1/4)))))
(-.f64 (cos.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sin.f64 y)) (pow.f64 z 1/2)))

eval173.0ms (2.7%)

Compiler

Compiled 10890 to 4404 computations (59.6% saved)

prune145.0ms (2.2%)

Pruning

27 alts after pruning (14 fresh and 13 done)

PrunedKeptTotal
New5144518
Fresh11011
Picked011
Done01212
Total51527542
Error
0b
Counts
542 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
40.8b
(pow.f64 (pow.f64 (+.f64 1 x) 1/3) 3)
18.7b
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))) 3)
23.7b
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3)
45.2b
(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 1 x)))
40.7b
(/.f64 1 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))
31.9b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
1.9b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z))))
14.6b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) (sin.f64 y))))
14.6b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z))))
0.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
23.9b
(-.f64 (+.f64 x 1) (*.f64 y z))
31.2b
(-.f64 (cos.f64 y) (pow.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 (sin.f64 y))) 3))
48.0b
(-.f64 (cos.f64 y) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
46.4b
(-.f64 (cos.f64 y) (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
40.6b
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (*.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z))))
30.9b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
48.6b
(-.f64 1 (*.f64 y z))
16.0b
(+.f64 (cos.f64 y) x)
23.1b
(+.f64 x 1)
49.1b
(+.f64 1 (-.f64 (*.f64 (*.f64 y y) -1/2) (*.f64 y z)))
47.8b
(*.f64 (sin.f64 y) (neg.f64 z))
58.2b
(*.f64 y (neg.f64 z))
46.2b
(log.f64 (exp.f64 (+.f64 (cos.f64 y) x)))
40.6b
(exp.f64 (log1p.f64 x))
45.6b
(cos.f64 y)
33.4b
x
52.3b
1
Compiler

Compiled 310 to 229 computations (26.1% saved)

regimes115.0ms (1.8%)

Counts
38 → 1
Calls
Call 1
Inputs
1
x
(+.f64 x 1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 (+.f64 x 1) (*.f64 y z))
(+.f64 1 (-.f64 (*.f64 (*.f64 y y) -1/2) (*.f64 y z)))
(/.f64 1 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 1 x)))
(exp.f64 (log1p.f64 x))
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (+.f64 1 x) 1/3) 3)
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(log.f64 (exp.f64 (+.f64 (cos.f64 y) x)))
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))) 3)
(-.f64 (cos.f64 y) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
(+.f64 (cos.f64 y) (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 (sin.f64 y)) 3)))
(-.f64 (cos.f64 y) (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(-.f64 (log.f64 (exp.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (*.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z))))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) (sin.f64 y))))
(-.f64 (cos.f64 y) (pow.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 (sin.f64 y))) 3))
(-.f64 (cos.f64 y) (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z))))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z))))
(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
(fma.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

38.0ms
y
34.0ms
x
17.0ms
z
16.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 416 to 158 computations (62% saved)

regimes97.0ms (1.5%)

Counts
16 → 3
Calls
Call 1
Inputs
1
x
(+.f64 x 1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 (+.f64 x 1) (*.f64 y z))
(+.f64 1 (-.f64 (*.f64 (*.f64 y y) -1/2) (*.f64 y z)))
(/.f64 1 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 1 x)))
(exp.f64 (log1p.f64 x))
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (+.f64 1 x) 1/3) 3)
Outputs
(+.f64 (cos.f64 y) x)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
Calls

3 calls:

39.0ms
y
30.0ms
z
24.0ms
x
Results
ErrorSegmentsBranch
4.1b3x
9.2b5y
9.8b3z
Compiler

Compiled 105 to 64 computations (39% saved)

bsearch123.0ms (1.9%)

Algorithm
binary-search
Steps
TimeLeftRight
78.0ms
1.3465007420864336e-14
0.001870292872166894
44.0ms
-9.462843674349195e-10
-1.4850696199887639e-21
Results
42.0ms190×body256valid
40.0ms46×body512valid
37.0ms84×body1024valid
Compiler

Compiled 398 to 293 computations (26.4% saved)

regimes127.0ms (2%)

Counts
14 → 4
Calls
Call 1
Inputs
1
x
(+.f64 x 1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 (+.f64 x 1) (*.f64 y z))
(+.f64 1 (-.f64 (*.f64 (*.f64 y y) -1/2) (*.f64 y z)))
(/.f64 1 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 1 x)))
(exp.f64 (log1p.f64 x))
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3)
Outputs
(+.f64 (cos.f64 y) x)
(-.f64 (+.f64 x 1) (*.f64 y z))
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
Calls

3 calls:

68.0ms
y
35.0ms
x
20.0ms
z
Results
ErrorSegmentsBranch
13.2b5x
10.5b4y
11.3b3z
Compiler

Compiled 91 to 56 computations (38.5% saved)

bsearch104.0ms (1.6%)

Algorithm
binary-search
Steps
TimeLeftRight
50.0ms
1.038665155585577e+264
8.300327201737354e+268
30.0ms
3058487134416.914
8.640349600063111e+24
24.0ms
-7059.866834826994
-3.69829633178181
Results
60.0ms347×body256valid
39.0ms85×body1024valid
Compiler

Compiled 513 to 382 computations (25.5% saved)

regimes44.0ms (0.7%)

Counts
10 → 3
Calls
Call 1
Inputs
1
x
(+.f64 x 1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 (+.f64 x 1) (*.f64 y z))
(+.f64 1 (-.f64 (*.f64 (*.f64 y y) -1/2) (*.f64 y z)))
(/.f64 1 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
Outputs
(+.f64 (cos.f64 y) x)
(-.f64 (+.f64 x 1) (*.f64 y z))
(+.f64 (cos.f64 y) x)
Calls

3 calls:

22.0ms
y
13.0ms
z
6.0ms
x
Results
ErrorSegmentsBranch
16.0b1x
11.7b3y
14.0b2z
Compiler

Compiled 64 to 39 computations (39.1% saved)

bsearch70.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
34.0ms
3058487134416.914
8.640349600063111e+24
36.0ms
-7059.866834826994
-3.69829633178181
Results
66.0ms288×body256valid
Compiler

Compiled 360 to 265 computations (26.4% saved)

regimes52.0ms (0.8%)

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

3 calls:

21.0ms
y
17.0ms
x
11.0ms
z
Results
ErrorSegmentsBranch
16.5b3x
17.6b4y
21.2b2z
Compiler

Compiled 60 to 38 computations (36.7% saved)

bsearch59.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
0.001870292872166894
0.0037407589448458845
37.0ms
-9.685018433004954e-25
-2.1964943147682714e-26
Results
27.0ms54×body1024valid
21.0ms107×body256valid
9.0ms31×body512valid
Compiler

Compiled 174 to 145 computations (16.7% saved)

regimes46.0ms (0.7%)

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

3 calls:

16.0ms
x
16.0ms
y
12.0ms
z
Results
ErrorSegmentsBranch
19.5b3x
18.7b3y
21.2b2z
Compiler

Compiled 58 to 37 computations (36.2% saved)

bsearch63.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
35.0ms
1.482149407256989e+61
1.1801115269010665e+75
28.0ms
-1.7880299361471993e+46
-5.352948928994357e+36
Results
59.0ms304×body256valid
Compiler

Compiled 360 to 279 computations (22.5% saved)

regimes25.0ms (0.4%)

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

3 calls:

16.0ms
x
4.0ms
y
4.0ms
z
Results
ErrorSegmentsBranch
19.7b3x
23.1b1y
23.1b1z
Compiler

Compiled 29 to 20 computations (31% saved)

bsearch94.0ms (1.4%)

Algorithm
binary-search
Steps
TimeLeftRight
47.0ms
1.3465007420864336e-14
0.001870292872166894
46.0ms
-2.9668888557261116e-35
-3.5708148661571206e-42
Results
43.0ms86×body1024valid
26.0ms172×body256valid
13.0ms46×body512valid
Compiler

Compiled 322 to 260 computations (19.3% saved)

regimes16.0ms (0.2%)

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

3 calls:

5.0ms
x
4.0ms
z
4.0ms
y
Results
ErrorSegmentsBranch
23.1b1x
23.1b1y
23.1b1z
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes27.0ms (0.4%)

Accuracy

Total -38.7b remaining (-164%)

Threshold costs -38.7b (-164%)

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

3 calls:

9.0ms
x
9.0ms
z
8.0ms
y
Results
ErrorSegmentsBranch
23.6b3x
31.2b3y
32.4b3z
Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch89.0ms (1.4%)

Algorithm
binary-search
Steps
TimeLeftRight
46.0ms
0.0037407589448458845
1348132592805.45
43.0ms
-1463.7347679118932
-9.099733566674991e-5
Results
38.0ms86×body1024valid
28.0ms170×body256valid
18.0ms47×body512valid
2.0msbody2048valid
Compiler

Compiled 208 to 184 computations (11.5% saved)

simplify21.0ms (0.3%)

Algorithm
egg-herbie
Rules
11×+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
cancel-sign-sub-inv_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064231
189231
2111231
3120231
4125231
5126231
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -5609415803011879/38685626227668133590597632) (+.f64 (cos.f64 y) x) (if (<=.f64 x 3984496719921263/295147905179352825856) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)))
(if (<=.f64 y -4165829655317709/1125899906842624) (+.f64 (cos.f64 y) x) (if (<=.f64 y 3100000000000) (-.f64 (+.f64 x 1) (*.f64 y z)) (if (<=.f64 y 82000000000000001487714139605933673247560865522450874361067046580789492818510023744727833852274964895438617770638129408551614795921862218686302855528741325643309387623929948205719133349887834086161767079727809703592143053062538208421485366732130109226649526778046971904) (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z)))))
(if (<=.f64 y -170) (+.f64 (cos.f64 y) x) (if (<=.f64 y 3200000000000) (-.f64 (+.f64 x 1) (*.f64 y z)) (+.f64 (cos.f64 y) x)))
(if (<=.f64 x -5172291977198265/5444517870735015415413993718908291383296) (+.f64 x 1) (if (<=.f64 x 8762203435012037/4611686018427387904) (cos.f64 y) (+.f64 x 1)))
(if (<=.f64 y -5199999999999999800126692176111671070162944) (+.f64 x 1) (if (<=.f64 y 42000000000000002156002760594988435587330998811048632217763840) (-.f64 (+.f64 x 1) (*.f64 y z)) (+.f64 x 1)))
(if (<=.f64 x -1915619426082361/191561942608236107294793378393788647952342390272950272) (+.f64 x 1) (if (<=.f64 x 5942112188569825/2475880078570760549798248448) (-.f64 1 (*.f64 y z)) (+.f64 x 1)))
(+.f64 x 1)
(if (<=.f64 x -1) x (if (<=.f64 x 8106479329266893/9007199254740992) 1 x))
1
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -5609415803011879/38685626227668133590597632) (+.f64 (cos.f64 y) x) (if (<=.f64 x 3984496719921263/295147905179352825856) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)))
(if (<=.f64 x -5609415803011879/38685626227668133590597632) (+.f64 x (cos.f64 y)) (if (<=.f64 x 3984496719921263/295147905179352825856) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y))))
(if (<=.f64 y -4165829655317709/1125899906842624) (+.f64 (cos.f64 y) x) (if (<=.f64 y 3100000000000) (-.f64 (+.f64 x 1) (*.f64 y z)) (if (<=.f64 y 82000000000000001487714139605933673247560865522450874361067046580789492818510023744727833852274964895438617770638129408551614795921862218686302855528741325643309387623929948205719133349887834086161767079727809703592143053062538208421485366732130109226649526778046971904) (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z)))))
(if (<=.f64 y -4165829655317709/1125899906842624) (+.f64 x (cos.f64 y)) (if (<=.f64 y 3100000000000) (-.f64 (+.f64 x 1) (*.f64 y z)) (if (<=.f64 y 82000000000000001487714139605933673247560865522450874361067046580789492818510023744727833852274964895438617770638129408551614795921862218686302855528741325643309387623929948205719133349887834086161767079727809703592143053062538208421485366732130109226649526778046971904) (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))))
(if (<=.f64 y -4165829655317709/1125899906842624) (+.f64 x (cos.f64 y)) (if (<=.f64 y 3100000000000) (-.f64 (+.f64 x 1) (*.f64 y z)) (if (<=.f64 y 82000000000000001487714139605933673247560865522450874361067046580789492818510023744727833852274964895438617770638129408551614795921862218686302855528741325643309387623929948205719133349887834086161767079727809703592143053062538208421485366732130109226649526778046971904) (+.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))))
(if (<=.f64 y -170) (+.f64 (cos.f64 y) x) (if (<=.f64 y 3200000000000) (-.f64 (+.f64 x 1) (*.f64 y z)) (+.f64 (cos.f64 y) x)))
(if (<=.f64 y -170) (+.f64 x (cos.f64 y)) (if (<=.f64 y 3200000000000) (-.f64 (+.f64 x 1) (*.f64 y z)) (+.f64 x (cos.f64 y))))
(if (<=.f64 x -5172291977198265/5444517870735015415413993718908291383296) (+.f64 x 1) (if (<=.f64 x 8762203435012037/4611686018427387904) (cos.f64 y) (+.f64 x 1)))
(if (<=.f64 y -5199999999999999800126692176111671070162944) (+.f64 x 1) (if (<=.f64 y 42000000000000002156002760594988435587330998811048632217763840) (-.f64 (+.f64 x 1) (*.f64 y z)) (+.f64 x 1)))
(if (<=.f64 x -1915619426082361/191561942608236107294793378393788647952342390272950272) (+.f64 x 1) (if (<=.f64 x 5942112188569825/2475880078570760549798248448) (-.f64 1 (*.f64 y z)) (+.f64 x 1)))
(+.f64 x 1)
(if (<=.f64 x -1) x (if (<=.f64 x 8106479329266893/9007199254740992) 1 x))
1
Compiler

Compiled 188 to 124 computations (34% saved)

soundness0.0ms (0%)

end75.0ms (1.2%)

Compiler

Compiled 161 to 84 computations (47.8% saved)

Profiling

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