Details

Time bar (total: 6.4s)

analyze678.0ms (10.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
6.2%93.6%0.1%6
12.5%87.4%0.1%7
20.3%79.6%0.1%8
35.5%64.4%0.1%9
40%59.9%0.1%10
50.5%49.3%0.1%11
63.4%36.4%0.1%12
66.3%33.5%0.1%13
73%26.8%0.1%14
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.0s (16.1%)

Results
1.0s8256×body128valid

preprocess65.0ms (1%)

Algorithm
egg-herbie
Rules
930×fma-neg_binary64
478×fma-def_binary64
469×div-sub_binary64
332×times-frac_binary64
288×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02772
16072
29872
314372
422172
535472
654972
780672
8117572
9166264
10253464
11428464
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(+.f64 y (/.f64 x (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))))
(+.f64 z (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 x)) (*.f64 z y))))
(+.f64 x (/.f64 z (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 y)) (*.f64 x z))))
Outputs
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 x y)))))
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) -5641895835477563/5000000000000000))))
(+.f64 y (/.f64 x (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))))
(+.f64 y (/.f64 x (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 x y)))))
(+.f64 y (/.f64 x (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))
(+.f64 y (/.f64 x (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(-.f64 y (/.f64 x (fma.f64 x y (*.f64 (exp.f64 z) -5641895835477563/5000000000000000))))
(+.f64 z (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 x)) (*.f64 z y))))
(+.f64 z (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 x)) (*.f64 y z))))
(+.f64 z (/.f64 y (neg.f64 (fma.f64 (exp.f64 x) -5641895835477563/5000000000000000 (*.f64 y z)))))
(-.f64 z (/.f64 y (fma.f64 (exp.f64 x) -5641895835477563/5000000000000000 (*.f64 y z))))
(-.f64 z (/.f64 y (fma.f64 y z (*.f64 (exp.f64 x) -5641895835477563/5000000000000000))))
(+.f64 x (/.f64 z (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 y)) (*.f64 x z))))
(-.f64 x (/.f64 z (fma.f64 x z (*.f64 (exp.f64 y) -5641895835477563/5000000000000000))))
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify41.0ms (0.7%)

Algorithm
egg-herbie
Rules
881×fma-def_binary64
768×fma-neg_binary64
655×div-sub_binary64
305×associate-/l/_binary64
251×times-frac_binary64
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
01118
12018
23518
35218
48118
512718
620518
729318
839618
953916
1072716
11117916
12224116
13429516
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
Outputs
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 x (neg.f64 y)))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) -5641895835477563/5000000000000000))))
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))

eval1.0ms (0%)

Compiler

Compiled 26 to 16 computations (38.5% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
3.8b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 58 to 40 computations (31% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
0.0b
(/.f64 (exp.f64 z) y)
0.1b
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))
0.1b
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)

series25.0ms (0.4%)

Counts
4 → 112
Calls

33 calls:

TimeVariablePointExpression
2.0ms
z
@inf
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))
2.0ms
x
@-inf
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
1.0ms
z
@0
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))
1.0ms
y
@inf
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
1.0ms
z
@0
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))

rewrite85.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
681×prod-diff_binary64
212×expm1-udef_binary64
212×log1p-udef_binary64
120×add-sqr-sqrt_binary64
116×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
123345
2308345
Stop Event
node limit
Counts
4 → 115
Calls
Call 1
Inputs
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))
(/.f64 (exp.f64 z) y)
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) (pow.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 2) (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) (-.f64 (*.f64 x x) (*.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) (*.f64 x x)) (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))
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simplify73.0ms (1.1%)

Algorithm
egg-herbie
Rules
895×times-frac_binary64
672×fma-def_binary64
463×associate-/l*_binary64
128×distribute-rgt-in_binary64
125×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01612746
14852700
215982656
Stop Event
node limit
Counts
227 → 186
Calls
Call 1
Inputs
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y)) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
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x
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x
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(/.f64 -1 x)
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(/.f64 -1 x)
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(/.f64 -1 x)
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(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(/.f64 -1 x)
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(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 z y))
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(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
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(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (pow.f64 y 2) (pow.f64 (exp.f64 z) 2)))) x)))
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x
(-.f64 x (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x)) (/.f64 1 x))
x
(-.f64 x (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x)) (/.f64 1 x))
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) x) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2))) x)) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (*.f64 y (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))) (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))))) (pow.f64 z 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2))) x))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)))
(-.f64 x (/.f64 1 x))
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(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x))) (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x)) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x))) (/.f64 1 x))
Outputs
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
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(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
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(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
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(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
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(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
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(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
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(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
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(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
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(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
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(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 x (+.f64 1 (/.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (pow.f64 (exp.f64 z) 2)))))
(fma.f64 x (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 y (/.f64 (exp.f64 (+.f64 z z)) y)) 1) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 x (*.f64 y y)) (pow.f64 (exp.f64 z) 2)) x))
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(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (*.f64 x x)) (pow.f64 (exp.f64 z) 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 x (+.f64 1 (/.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (pow.f64 (exp.f64 z) 2))))))
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (exp.f64 z) 3)) (*.f64 x x)) (fma.f64 x (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 y (/.f64 (exp.f64 (+.f64 z z)) y)) 1) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 z) y) 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 x (*.f64 y y)) (pow.f64 (exp.f64 z) 2)) x)))
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(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x))
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) x) (/.f64 1 x))
(+.f64 x (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (*.f64 y x) x)) (/.f64 -1 x)))
(+.f64 x (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (/.f64 (exp.f64 z) (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x)) (/.f64 1 x))
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) x)) (/.f64 1 x))
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (*.f64 y x) x)) x) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 -1 x)))
(+.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (/.f64 (exp.f64 z) (*.f64 x x)) x) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x))) (/.f64 1 x))
(-.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) x))) (/.f64 1 x))
(+.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (*.f64 y x) x)) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 y (pow.f64 x 3)))) x))) (/.f64 -1 x))
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) x)) (fma.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 x 4)) (pow.f64 (/.f64 (exp.f64 z) y) 3) (/.f64 -1 x)))
(-.f64 x (/.f64 1 x))
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(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x))
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) x) (/.f64 1 x))
(+.f64 x (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (*.f64 y x) x)) (/.f64 -1 x)))
(+.f64 x (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (/.f64 (exp.f64 z) (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x)) (/.f64 1 x))
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) x)) (/.f64 1 x))
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (*.f64 y x) x)) x) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 -1 x)))
(+.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (/.f64 (exp.f64 z) (*.f64 x x)) x) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x))) (/.f64 1 x))
(-.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) x))) (/.f64 1 x))
(+.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (*.f64 y x) x)) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 y (pow.f64 x 3)))) x))) (/.f64 -1 x))
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) x)) (fma.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 x 4)) (pow.f64 (/.f64 (exp.f64 z) y) 3) (/.f64 -1 x)))

eval84.0ms (1.3%)

Compiler

Compiled 4208 to 2503 computations (40.5% saved)

prune633.0ms (9.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1842186
Fresh011
Picked101
Done000
Total1853188
Error
0b
Counts
188 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
26.1b
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
0.1b
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 z)) y)) x)))
3.8b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 96 to 66 computations (31.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cbrt.f64 (exp.f64 z))
0.0b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 z)) y))
0.1b
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 z)) y)) x))
0.1b
(fma.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 z)) y)) x)

series16.0ms (0.3%)

Counts
4 → 108
Calls

27 calls:

TimeVariablePointExpression
6.0ms
z
@-inf
(cbrt.f64 (exp.f64 z))
2.0ms
z
@inf
(cbrt.f64 (exp.f64 z))
1.0ms
z
@0
(fma.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 z)) y)) x)
0.0ms
z
@0
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 z)) y)) x))
0.0ms
z
@0
(cbrt.f64 (exp.f64 z))

rewrite69.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
244×expm1-udef_binary64
244×log1p-udef_binary64
209×log-pow_binary64
144×add-sqr-sqrt_binary64
138×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01634
133034
2356934
Stop Event
node limit
Counts
4 → 123
Calls
Call 1
Inputs
(fma.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 z)) y)) x)
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 z)) y)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 z)) y))
(cbrt.f64 (exp.f64 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) (cbrt.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 2)) (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) 3) (pow.f64 x 3)) (fma.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) (*.f64 x x)) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) (pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 2) (cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) (sqrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (exp.f64 z)) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) -2) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (exp.f64 z)) (*.f64 y (pow.f64 (cbrt.f64 (exp.f64 z)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (*.f64 2/3 z)) (/.f64 y (cbrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (*.f64 2/3 z)) (*.f64 (/.f64 y (cbrt.f64 (exp.f64 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) -2) (/.f64 y (cbrt.f64 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 y (cbrt.f64 (exp.f64 z))) (pow.f64 (cbrt.f64 (exp.f64 z)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (/.f64 (exp.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 (exp.f64 z)) y) (pow.f64 (cbrt.f64 (exp.f64 z)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 z) y) 2)) (/.f64 1 (cbrt.f64 (/.f64 (exp.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (exp.f64 z) y)) (/.f64 1 (sqrt.f64 (/.f64 (exp.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (exp.f64 z)) (/.f64 y (sqrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 (*.f64 2/3 z))) (*.f64 -1 (/.f64 y (cbrt.f64 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 (*.f64 2/3 z))) (*.f64 (/.f64 y (cbrt.f64 (exp.f64 z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (exp.f64 z))) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) -2) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (exp.f64 z) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cbrt.f64 (exp.f64 z))) 1) (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (exp.f64 z)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 2/3 z))) (cbrt.f64 (exp.f64 z))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (*.f64 2/3 z)) (neg.f64 (cbrt.f64 (exp.f64 z)))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 2/3 z))) (neg.f64 (cbrt.f64 (exp.f64 z)))) (*.f64 -1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cbrt.f64 (exp.f64 z))) (exp.f64 (*.f64 2/3 z))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cbrt.f64 (exp.f64 z))) (exp.f64 (*.f64 2/3 z))) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (exp.f64 z)) (neg.f64 (exp.f64 (*.f64 2/3 z)))) (*.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cbrt.f64 (exp.f64 z))) (neg.f64 (exp.f64 (*.f64 2/3 z)))) (*.f64 (neg.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 2/3 z))) (/.f64 (cbrt.f64 (exp.f64 z)) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cbrt.f64 (exp.f64 z)) y) (neg.f64 (exp.f64 (*.f64 2/3 z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (exp.f64 (*.f64 3 z)) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (exp.f64 (+.f64 z z)) (pow.f64 (/.f64 (cbrt.f64 (exp.f64 z)) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (cbrt.f64 (exp.f64 z)) y) 3) (exp.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 z (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 z (log.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 z) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (exp.f64 z))) (cbrt.f64 (exp.f64 (*.f64 2/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 z))) (cbrt.f64 (cbrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 z) 1/6) (pow.f64 (exp.f64 z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 4))) (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 z)) 1/3) (pow.f64 (sqrt.f64 (exp.f64 z)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (exp.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (exp.f64 (*.f64 2/3 z)))) (sqrt.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 z) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 2/3 z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 z) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (exp.f64 (*.f64 2/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 z 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 z))))))))

simplify76.0ms (1.2%)

Algorithm
egg-herbie
Rules
879×times-frac_binary64
472×associate-/r*_binary64
447×associate-/l*_binary64
439×fma-def_binary64
108×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01391851
14011815
213251787
Stop Event
node limit
Counts
231 → 173
Calls
Call 1
Inputs
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y)) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (*.f64 y (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))) (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))))) (pow.f64 z 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2))))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 z y))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) y)) (+.f64 (/.f64 1 y) (/.f64 z y)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) y)) (+.f64 (/.f64 1 y) (+.f64 (/.f64 z y) (*.f64 1/6 (/.f64 (pow.f64 z 3) y)))))
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
1
(+.f64 1 (*.f64 1/3 z))
(+.f64 1 (+.f64 (*.f64 1/3 z) (*.f64 1/18 (pow.f64 z 2))))
(+.f64 1 (+.f64 (*.f64 1/3 z) (+.f64 (*.f64 1/162 (pow.f64 z 3)) (*.f64 1/18 (pow.f64 z 2)))))
(pow.f64 (exp.f64 z) 1/3)
(pow.f64 (exp.f64 z) 1/3)
(pow.f64 (exp.f64 z) 1/3)
(pow.f64 (exp.f64 z) 1/3)
(pow.f64 (exp.f64 z) 1/3)
(pow.f64 (exp.f64 z) 1/3)
(pow.f64 (exp.f64 z) 1/3)
(pow.f64 (exp.f64 z) 1/3)
Outputs
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 5641895835477563/5000000000000000 y))
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (fma.f64 -5641895835477563/10000000000000000 (/.f64 (*.f64 z z) y) (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) (/.f64 5641895835477563/5000000000000000 y))
(+.f64 (fma.f64 -5641895835477563/10000000000000000 (/.f64 z (/.f64 y z)) (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) (/.f64 -5641895835477563/5000000000000000 y))
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (fma.f64 -5641895835477563/10000000000000000 (*.f64 (/.f64 z y) z) (/.f64 -5641895835477563/5000000000000000 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y)) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (fma.f64 -5641895835477563/10000000000000000 (/.f64 (*.f64 z z) y) (fma.f64 -5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y) (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x))) (/.f64 5641895835477563/5000000000000000 y))
(+.f64 (fma.f64 -5641895835477563/10000000000000000 (/.f64 z (/.f64 y z)) (fma.f64 -5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y) (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x))) (/.f64 -5641895835477563/5000000000000000 y))
(+.f64 (fma.f64 -5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y) (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) (fma.f64 -5641895835477563/10000000000000000 (*.f64 (/.f64 z y) z) (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))
(/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))
(/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
x
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(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))))) (/.f64 1 x))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 -1 x)))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(-.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3)))))) (/.f64 1 x))
(fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 -1 x))))
(fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (pow.f64 x 4)) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (exp.f64 z) 2) x)) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 x (*.f64 y y)))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 x (pow.f64 (exp.f64 z) 2)) (*.f64 y y))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (exp.f64 z) 2) x)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 x x))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 x (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y y))) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 x (*.f64 x (pow.f64 y 3)))))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 x (pow.f64 (exp.f64 z) 2)) (*.f64 y y)) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 z) y) 3)))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (exp.f64 z) 2) x)) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 x x))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 x (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y y))) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 x (*.f64 x (pow.f64 y 3))))))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 x (pow.f64 (exp.f64 z) 2)) (*.f64 y y)) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 z) y) 3))))))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y (*.f64 x x))) (/.f64 1 x))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (/.f64 -1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))))) (/.f64 1 x))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 -1 x)))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(-.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3)))))) (/.f64 1 x))
(fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 -1 x))))
(fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (pow.f64 x 4)) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x))))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y (*.f64 x x))) (/.f64 1 x))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (/.f64 -1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))))) (/.f64 1 x))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 -1 x)))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(-.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3)))))) (/.f64 1 x))
(fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 -1 x))))
(fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (pow.f64 x 4)) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 z y))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) y)) (+.f64 (/.f64 1 y) (/.f64 z y)))
(fma.f64 1/2 (/.f64 (*.f64 z z) y) (+.f64 (/.f64 1 y) (/.f64 z y)))
(fma.f64 (/.f64 z (/.f64 y z)) 1/2 (+.f64 (/.f64 1 y) (/.f64 z y)))
(+.f64 (fma.f64 (*.f64 (/.f64 z y) z) 1/2 (/.f64 z y)) (/.f64 1 y))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) y)) (+.f64 (/.f64 1 y) (+.f64 (/.f64 z y) (*.f64 1/6 (/.f64 (pow.f64 z 3) y)))))
(fma.f64 1/2 (/.f64 (*.f64 z z) y) (+.f64 (+.f64 (/.f64 1 y) (/.f64 z y)) (*.f64 (/.f64 (pow.f64 z 3) y) 1/6)))
(+.f64 (fma.f64 (/.f64 (pow.f64 z 3) y) 1/6 (/.f64 z y)) (fma.f64 (/.f64 z (/.f64 y z)) 1/2 (/.f64 1 y)))
(+.f64 (fma.f64 (/.f64 (pow.f64 z 3) y) 1/6 (/.f64 z y)) (fma.f64 (*.f64 (/.f64 z y) z) 1/2 (/.f64 1 y)))
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
(/.f64 (exp.f64 z) y)
1
(+.f64 1 (*.f64 1/3 z))
(+.f64 1 (*.f64 z 1/3))
(fma.f64 z 1/3 1)
(+.f64 1 (+.f64 (*.f64 1/3 z) (*.f64 1/18 (pow.f64 z 2))))
(+.f64 1 (fma.f64 1/3 z (*.f64 (*.f64 z z) 1/18)))
(+.f64 1 (fma.f64 z 1/3 (*.f64 (*.f64 1/18 z) z)))
(fma.f64 z (*.f64 z 1/18) (fma.f64 z 1/3 1))
(+.f64 1 (+.f64 (*.f64 1/3 z) (+.f64 (*.f64 1/162 (pow.f64 z 3)) (*.f64 1/18 (pow.f64 z 2)))))
(+.f64 1 (fma.f64 1/3 z (fma.f64 1/162 (pow.f64 z 3) (*.f64 (*.f64 z z) 1/18))))
(+.f64 1 (fma.f64 z 1/3 (fma.f64 (pow.f64 z 3) 1/162 (*.f64 (*.f64 1/18 z) z))))
(+.f64 1 (fma.f64 z 1/3 (*.f64 (*.f64 z z) (+.f64 1/18 (*.f64 1/162 z)))))
(pow.f64 (exp.f64 z) 1/3)
(cbrt.f64 (exp.f64 z))
(pow.f64 (exp.f64 z) 1/3)
(cbrt.f64 (exp.f64 z))
(pow.f64 (exp.f64 z) 1/3)
(cbrt.f64 (exp.f64 z))
(pow.f64 (exp.f64 z) 1/3)
(cbrt.f64 (exp.f64 z))
(pow.f64 (exp.f64 z) 1/3)
(cbrt.f64 (exp.f64 z))
(pow.f64 (exp.f64 z) 1/3)
(cbrt.f64 (exp.f64 z))
(pow.f64 (exp.f64 z) 1/3)
(cbrt.f64 (exp.f64 z))
(pow.f64 (exp.f64 z) 1/3)
(cbrt.f64 (exp.f64 z))

eval97.0ms (1.5%)

Compiler

Compiled 4416 to 2640 computations (40.2% saved)

prune1.0s (16%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2070207
Fresh022
Picked011
Done000
Total2073210
Error
0b
Counts
210 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
26.1b
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
0.1b
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 z)) y)) x)))
3.8b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 73 to 50 computations (31.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
0.0b
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
1.2b
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))
6.2b
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))

series16.0ms (0.2%)

Counts
4 → 112
Calls

30 calls:

TimeVariablePointExpression
1.0ms
z
@0
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))
1.0ms
z
@inf
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))
1.0ms
z
@-inf
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))
1.0ms
y
@0
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))
1.0ms
z
@0
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))

rewrite106.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
567×fma-def_binary64
275×fma-neg_binary64
231×expm1-udef_binary64
231×log1p-udef_binary64
142×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151
125251
2364351
Stop Event
node limit
Counts
4 → 242
Calls
Call 1
Inputs
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
Outputs
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simplify82.0ms (1.3%)

Algorithm
egg-herbie
Rules
878×times-frac_binary64
657×fma-def_binary64
453×associate-/l*_binary64
384×associate-/r*_binary64
86×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01372760
14242722
214352637
Stop Event
node limit
Counts
354 → 316
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
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(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
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(/.f64 -1 x)
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(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
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(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
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(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
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(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
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(-.f64 5641895835477563/5000000000000000 (*.f64 y x))
(-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))
(-.f64 (+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y x))
(-.f64 (+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 5641895835477563/30000000000000000 (pow.f64 z 3))))) (*.f64 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
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(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
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(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
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(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
5641895835477563/5000000000000000
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 5641895835477563/30000000000000000 (pow.f64 z 3)))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (pow.f64 y 2) (pow.f64 (exp.f64 z) 2)))) x))
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (pow.f64 y 2) (pow.f64 (exp.f64 z) 2)))) x)))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (pow.f64 y 2) (pow.f64 (exp.f64 z) 2)))) x))))
x
(-.f64 x (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x)) (/.f64 1 x))
x
(-.f64 x (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x)) (/.f64 1 x))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)))
(-.f64 x (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x)) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x))) (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x)) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x))) (/.f64 1 x))
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (*.f64 -31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))))) (pow.f64 z 3))) (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x))))
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)
Outputs
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (exp.f64 z) 2) x)) (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (*.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) x) (pow.f64 (exp.f64 z) 2)))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2)) x)))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (exp.f64 z) 2) x)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (*.f64 x x)) (pow.f64 (exp.f64 z) 3)) (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) y)) x) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x))) (pow.f64 (exp.f64 z) 3))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2)) x) (/.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x x)) (pow.f64 (/.f64 (exp.f64 z) y) 3))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (exp.f64 z) 2) x)) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (*.f64 x x)) (pow.f64 (exp.f64 z) 3)) (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) y)) x) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) (pow.f64 x 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x))) (pow.f64 (exp.f64 z) 3)))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2)) x) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) (pow.f64 x 3)) (/.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x x)) (pow.f64 (/.f64 (exp.f64 z) y) 3)))))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y (*.f64 x x))) (/.f64 1 x))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 y x))) (/.f64 -1 x))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 -1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)) (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 1 x))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 y x))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 -1 x)))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(-.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)) (*.f64 (*.f64 y y) (pow.f64 x 3))))) (/.f64 1 x))
(fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 y x))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 -1 x))))
(fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (pow.f64 x 4)) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x))))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y (*.f64 x x))) (/.f64 1 x))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 y x))) (/.f64 -1 x))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 -1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)) (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 1 x))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 y x))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 -1 x)))
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(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (*.f64 -31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))))) (pow.f64 z 3))) (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x))))
(fma.f64 -1 (*.f64 (*.f64 z z) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 y (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2) z)) (+.f64 (fma.f64 -1 (*.f64 (fma.f64 5641895835477563/30000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) -31830988618379068626528276418969/50000000000000000000000000000000))) (pow.f64 z 3)) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) x)))
(+.f64 (-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 y (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2) z)) (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (*.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) 5641895835477563/30000000000000000 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (/.f64 (*.f64 y 5641895835477563/10000000000000000) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) -31830988618379068626528276418969/50000000000000000000000000000000))) (pow.f64 z 3)))) (*.f64 (*.f64 z z) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (/.f64 (*.f64 y 5641895835477563/10000000000000000) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))))) x)
(-.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (fma.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (+.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 5641895835477563/10000000000000000)) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (+.f64 (/.f64 -31830988618379068626528276418969/50000000000000000000000000000000 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 5641895835477563/30000000000000000))) (neg.f64 (pow.f64 z 3)) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) x) (*.f64 (*.f64 z z) (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (+.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 5641895835477563/10000000000000000))))
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))))
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))))
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))))
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))))
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))))
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))))
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))))
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))))

eval130.0ms (2%)

Compiler

Compiled 7601 to 3377 computations (55.6% saved)

prune1.6s (24.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New3151316
Fresh101
Picked011
Done011
Total3163319
Error
0b
Counts
319 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
26.1b
(+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)))
0.1b
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 z)) y)) x)))
3.8b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 60 to 42 computations (30% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)))
0.0b
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
0.3b
(*.f64 5000000000000000/5641895835477563 y)

series13.0ms (0.2%)

Counts
3 → 60
Calls

18 calls:

TimeVariablePointExpression
4.0ms
y
@inf
(*.f64 5000000000000000/5641895835477563 y)
1.0ms
z
@-inf
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
1.0ms
z
@inf
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
1.0ms
y
@0
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
1.0ms
z
@0
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))

rewrite62.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
829×prod-diff_binary64
218×fma-def_binary64
179×expm1-udef_binary64
179×log1p-udef_binary64
141×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0925
119325
2272223
Stop Event
node limit
Counts
3 → 116
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 y)
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 5000000000000000/5641895835477563 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 5000000000000000/5641895835477563 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 5000000000000000/5641895835477563 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 5000000000000000/5641895835477563 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 5000000000000000/5641895835477563 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5000000000000000/5641895835477563 (/.f64 1 (/.f64 (exp.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5000000000000000/5641895835477563 (*.f64 y (exp.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 5000000000000000/5641895835477563 (exp.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 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5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)))))))

simplify55.0ms (0.9%)

Algorithm
egg-herbie
Rules
365×fma-def_binary64
247×*-commutative_binary64
210×distribute-rgt-out_binary64
180×associate-+l+_binary64
179×distribute-lft-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046647
1142636
2459607
32270602
44494602
Stop Event
node limit
Counts
176 → 134
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (*.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 y) (*.f64 -1 y))) (*.f64 1/6 y))) (pow.f64 z 3))))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x))
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)))
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 y) (*.f64 -1 y))) (*.f64 1/6 y))) (pow.f64 z 3))) x))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
Outputs
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
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(fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 5000000000000000/5641895835477563 y))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))
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(fma.f64 -5000000000000000/5641895835477563 (*.f64 y (*.f64 -1/2 (*.f64 z z))) (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 y (+.f64 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563) (*.f64 z -5000000000000000/5641895835477563))))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (+.f64 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563) (*.f64 z -5000000000000000/5641895835477563))))
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(fma.f64 -5000000000000000/5641895835477563 (*.f64 (*.f64 y -1/2) (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 y z) (*.f64 (fma.f64 -1/2 y (fma.f64 -1 (*.f64 y -1/2) (*.f64 y 1/6))) (pow.f64 z 3))))))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 y (*.f64 -1/2 (*.f64 z z))) (fma.f64 -5000000000000000/5641895835477563 (fma.f64 y z (*.f64 (fma.f64 y -1/2 (fma.f64 y 1/6 (*.f64 y 1/2))) (pow.f64 z 3))) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 -5000000000000000/5641895835477563 (fma.f64 y z (*.f64 (fma.f64 y 1/6 0) (pow.f64 z 3))) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563))))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 y (+.f64 (*.f64 1/6 (pow.f64 z 3)) z)) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563))))
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(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x))
(fma.f64 5000000000000000/5641895835477563 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) x))
(fma.f64 5000000000000000/5641895835477563 y (fma.f64 z (*.f64 y -5000000000000000/5641895835477563) x))
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 (*.f64 y -1/2) (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) x)))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 y (*.f64 -1/2 (*.f64 z z))) (fma.f64 5000000000000000/5641895835477563 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) x)))
(fma.f64 5000000000000000/5641895835477563 y (fma.f64 (*.f64 z z) (*.f64 y 2500000000000000/5641895835477563) (fma.f64 z (*.f64 y -5000000000000000/5641895835477563) x)))
(+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (+.f64 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563) (*.f64 z -5000000000000000/5641895835477563)))))
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 y) (*.f64 -1 y))) (*.f64 1/6 y))) (pow.f64 z 3))) x))))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 (*.f64 y -1/2) (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (fma.f64 -5000000000000000/5641895835477563 (*.f64 (fma.f64 -1/2 y (fma.f64 -1 (*.f64 y -1/2) (*.f64 y 1/6))) (pow.f64 z 3)) x))))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 y (*.f64 -1/2 (*.f64 z z))) (fma.f64 5000000000000000/5641895835477563 y (fma.f64 -5000000000000000/5641895835477563 (fma.f64 y z (*.f64 (fma.f64 y -1/2 (fma.f64 y 1/6 (*.f64 y 1/2))) (pow.f64 z 3))) x)))
(fma.f64 5000000000000000/5641895835477563 y (fma.f64 (*.f64 z z) (*.f64 y 2500000000000000/5641895835477563) (fma.f64 -5000000000000000/5641895835477563 (fma.f64 y z (*.f64 (fma.f64 y 1/6 0) (pow.f64 z 3))) x)))
(fma.f64 (*.f64 z z) (*.f64 y 2500000000000000/5641895835477563) (fma.f64 -5000000000000000/5641895835477563 (*.f64 y (+.f64 (*.f64 1/6 (pow.f64 z 3)) z)) (fma.f64 5000000000000000/5641895835477563 y x)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)

eval39.0ms (0.6%)

Compiler

Compiled 1885 to 1076 computations (42.9% saved)

prune205.0ms (3.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1340134
Fresh000
Picked011
Done022
Total1343137
Error
0b
Counts
137 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
26.1b
(+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)))
0.1b
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 z)) y)) x)))
3.8b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 49 to 34 computations (30.6% saved)

regimes27.0ms (0.4%)

Accuracy

Total -27.6b remaining (-64267.2%)

Threshold costs -27.6b (-64267.2%)

Counts
5 → 1
Calls
Call 1
Inputs
(+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 z)) y)) x)))
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
Outputs
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
Results
TimeErrorSegmentsBranch
6.0ms0.0b1x
5.0ms0.0b1y
5.0ms0.0b1z
6.0ms0.0b1(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
2.0ms0.0b1(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
2.0ms0.0b1(exp.f64 z)
Compiler

Compiled 100 to 64 computations (36% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
11216
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
Outputs
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))

end22.0ms (0.3%)

Stop Event
done
Compiler

Compiled 28 to 20 computations (28.6% saved)

Profiling

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