Details

Time bar (total: 11.0s)

analyze229.0ms (2.1%)

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
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.6s (14.8%)

Results
1.6s8256×body256valid
0.0msbody256invalid

preprocess112.0ms (1%)

Algorithm
egg-herbie
Rules
1158×fma-neg_binary64
478×fma-def_binary64
469×div-sub_binary64
373×sub-neg_binary64
364×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02772
16072
29872
314372
422172
535472
654972
780472
8120072
9168464
10257664
11435064
12627364
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) (*.f64 y (neg.f64 x)))))
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) -5641895835477563/5000000000000000 (*.f64 x y))))
(+.f64 y (/.f64 x (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))))
(+.f64 y (/.f64 x (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(+.f64 y (/.f64 x (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))
(-.f64 y (/.f64 x (fma.f64 (exp.f64 z) -5641895835477563/5000000000000000 (*.f64 x y))))
(+.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 (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 (neg.f64 z) (*.f64 5641895835477563/5000000000000000 (exp.f64 y)))))
(-.f64 x (/.f64 z (fma.f64 x z (*.f64 (exp.f64 y) -5641895835477563/5000000000000000))))
(-.f64 x (/.f64 z (fma.f64 (exp.f64 y) -5641895835477563/5000000000000000 (*.f64 x z))))
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify114.0ms (1%)

Algorithm
egg-herbie
Rules
1229×fma-def_binary64
1055×div-sub_binary64
902×fma-neg_binary64
409×associate-/l*_binary64
380×associate-/r*_binary64
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
01118
12018
23518
35218
48118
512718
620518
729218
839618
954016
1073716
11120516
12229116
13455516
14584416
15668816
16685616
17688416
18725416
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 (exp.f64 z) -5641895835477563/5000000000000000 (*.f64 x y))))
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))

eval1.0ms (0%)

Compiler

Compiled 26 to 16 computations (38.5% saved)

prune25.0ms (0.2%)

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
0.1b
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
2.3b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 29 to 20 computations (31% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
0.0b
(fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)
0.1b
(/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))
0.3b
(/.f64 -5641895835477563/5000000000000000 y)
Compiler

Compiled 40 to 22 computations (45% saved)

series65.0ms (0.6%)

Counts
4 → 108
Calls

30 calls:

TimeVariablePointExpression
34.0ms
z
@-inf
(/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))
7.0ms
x
@inf
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
2.0ms
z
@-inf
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
2.0ms
z
@0
(/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))
2.0ms
y
@inf
(/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))

rewrite133.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
675×prod-diff_binary64
516×log-prod_binary64
307×pow2_binary64
224×fma-def_binary64
212×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01143
123443
2303043
Stop Event
node limit
Counts
4 → 134
Calls
Call 1
Inputs
(/.f64 -5641895835477563/5000000000000000 y)
(/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))
(fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
Outputs
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simplify136.0ms (1.2%)

Algorithm
egg-herbie
Rules
887×times-frac_binary64
654×fma-def_binary64
482×associate-/r*_binary64
455×associate-/l*_binary64
399×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01522680
14592636
215292584
Stop Event
node limit
Counts
242 → 201
Calls
Call 1
Inputs
(/.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))))
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(/.f64 -1 x)
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(*.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))
(-.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 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 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))
(-.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))
(-.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))
Outputs
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))
(/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))
(/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 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 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2)))) (/.f64 1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 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 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2))) (neg.f64 (*.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 3))) (/.f64 5641895835477563/10000000000000000 (*.f64 y (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2)))) (*.f64 z z)))) (/.f64 1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (fma.f64 (neg.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3))) (/.f64 5641895835477563/10000000000000000 (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2))))) (*.f64 z z) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))
(fma.f64 (*.f64 z z) (+.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3))) (/.f64 -5641895835477563/10000000000000000 (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 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)))))
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(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 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 x (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 y (/.f64 (exp.f64 (+.f64 z z)) y)) 1) (/.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x x)) (pow.f64 (/.f64 (exp.f64 z) y) 3))))
(-.f64 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 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) x) (/.f64 1 x))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (+.f64 x (/.f64 -1 x)))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (*.f64 y x) x)) (+.f64 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 x (*.f64 x y))) x) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (exp.f64 (+.f64 z z)) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x)))
(+.f64 x (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (*.f64 y x) x)) (fma.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 y) y) (/.f64 (exp.f64 (+.f64 z z)) (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 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (exp.f64 (+.f64 z z)) (*.f64 (*.f64 y y) (pow.f64 x 3))) x))) (/.f64 -1 x))
(+.f64 x (fma.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 x 4)) (pow.f64 (/.f64 (exp.f64 z) y) 3) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (*.f64 y x) x)) (fma.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 y) y) (/.f64 (exp.f64 (+.f64 z z)) (pow.f64 x 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))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (+.f64 x (/.f64 -1 x)))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (*.f64 y x) x)) (+.f64 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 x (*.f64 x y))) x) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (exp.f64 (+.f64 z z)) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x)))
(+.f64 x (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (*.f64 y x) x)) (fma.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 y) y) (/.f64 (exp.f64 (+.f64 z z)) (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 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (exp.f64 (+.f64 z z)) (*.f64 (*.f64 y y) (pow.f64 x 3))) x))) (/.f64 -1 x))
(+.f64 x (fma.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 x 4)) (pow.f64 (/.f64 (exp.f64 z) y) 3) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (*.f64 y x) x)) (fma.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 y) y) (/.f64 (exp.f64 (+.f64 z z)) (pow.f64 x 3)) (/.f64 -1 x)))))

localize17.0ms (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))
0.4b
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))
7.9b
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))
Compiler

Compiled 46 to 20 computations (56.5% saved)

series16.0ms (0.1%)

Counts
4 → 112
Calls

30 calls:

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

rewrite131.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
654×log-prod_binary64
567×fma-def_binary64
339×pow2_binary64
275×fma-neg_binary64
232×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151
125251
2365351
Stop Event
node limit
Counts
4 → 279
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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 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simplify167.0ms (1.5%)

Algorithm
egg-herbie
Rules
878×times-frac_binary64
657×fma-def_binary64
455×associate-/l*_binary64
427×associate-*r*_binary64
405×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01372760
14242722
214372637
Stop Event
node limit
Counts
391 → 353
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))))
(+.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 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y 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 y (-.f64 5641895835477563/5000000000000000 (*.f64 y 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 y (-.f64 5641895835477563/5000000000000000 (*.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 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 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 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)))
(+.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)))
(*.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 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563))
(+.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 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y x)))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2)) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 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 (*.f64 y y) (pow.f64 (exp.f64 z) 2)) 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 x (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2))) (/.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (*.f64 x x)))))
(+.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 (*.f64 y y) (pow.f64 (exp.f64 z) 2)) 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 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 x 3) (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4))) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 x (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2))) (/.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (*.f64 x 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 (/.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 -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))
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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 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (+.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 5641895835477563/10000000000000000 (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2) y))) (-.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 z (*.f64 z (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (/.f64 5641895835477563/10000000000000000 (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2) y)))))) x)
(+.f64 x (-.f64 (-.f64 (fma.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 z (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) y) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (*.f64 z (*.f64 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 (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))) (pow.f64 z 3))))
(+.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)))))

eval228.0ms (2.1%)

Compiler

Compiled 12751 to 6534 computations (48.8% saved)

prune95.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New54410554
Fresh000
Picked101
Done101
Total54610556
Error
0b
Counts
556 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
23.6b
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
12.6b
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)
2.4b
(+.f64 x (*.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y))
0.2b
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 3) x)))
12.6b
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
2.4b
(fma.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y x)
12.0b
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
22.5b
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
20.7b
(-.f64 x (/.f64 1 x))
19.8b
x
Compiler

Compiled 244 to 173 computations (29.1% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 -1 (fma.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 3) x))
0.3b
(/.f64 -5641895835477563/5000000000000000 y)
0.6b
(cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y))
0.7b
(pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 3)
Compiler

Compiled 60 to 40 computations (33.3% saved)

series28.0ms (0.3%)

Counts
3 → 27
Calls

15 calls:

TimeVariablePointExpression
5.0ms
z
@inf
(/.f64 -1 (fma.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 3) x))
4.0ms
y
@-inf
(cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y))
3.0ms
z
@0
(/.f64 -1 (fma.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 3) x))
3.0ms
y
@0
(/.f64 -1 (fma.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 3) x))
2.0ms
y
@0
(pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 3)

rewrite94.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
506×log-prod_binary64
397×exp-prod_binary64
301×pow2_binary64
290×pow-prod-down_binary64
210×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01323
127423
2291623
Stop Event
node limit
Counts
3 → 122
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 3)
(cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y))
(/.f64 -1 (fma.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 3) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -5641895835477563/5000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -5641895835477563/5000000000000000 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -5641895835477563/5000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -5641895835477563/5000000000000000 y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -5641895835477563/5000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -5641895835477563/5000000000000000 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -5641895835477563/5000000000000000 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (cbrt.f64 (pow.f64 (*.f64 y -5000000000000000/5641895835477563) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -5641895835477563/5000000000000000 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -5641895835477563/5000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 y -5000000000000000/5641895835477563) -2)) (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y -5000000000000000/5641895835477563) -2))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y))) (cbrt.f64 (pow.f64 (*.f64 y -5000000000000000/5641895835477563) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 1/6) (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5641895835477563/5000000000000000 (pow.f64 (neg.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) -5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 5/6) (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 y -5000000000000000/5641895835477563) -2)) 1) (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (cbrt.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -5641895835477563/5000000000000000 y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -5641895835477563/5000000000000000 (neg.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 y 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((x sqrt.f64 (pow.f64 (*.f64 y -5000000000000000/5641895835477563) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -5641895835477563/5000000000000000 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 -5641895835477563/5000000000000000 y))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 -5641895835477563/5000000000000000 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y -5000000000000000/5641895835477563)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -5641895835477563/5000000000000000 y)) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -5641895835477563/5000000000000000 y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y))) 3/2) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 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simplify89.0ms (0.8%)

Algorithm
egg-herbie
Rules
751×fma-neg_binary64
594×unswap-sqr_binary64
496×associate-*l*_binary64
494×associate-/l*_binary64
492×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0118917
1369800
21222779
36477775
Stop Event
node limit
Counts
149 → 147
Calls
Call 1
Inputs
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 z (*.f64 y (pow.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x) 2))))) (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 z (*.f64 y (pow.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x) 2))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x) 3))))) (*.f64 5641895835477563/10000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 y (pow.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x) 2)))))) (pow.f64 z 2)))) (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 z (*.f64 y (pow.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x) 2))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/50000000000000000000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x) 3))))) (+.f64 (*.f64 5641895835477563/5000000000000000 (*.f64 (/.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x) 3))))) (*.f64 5641895835477563/10000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 y (pow.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x) 2)))))) (*.f64 y (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x))) (pow.f64 1 1/3))) (*.f64 5641895835477563/30000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 y (pow.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x) 2))))))) (pow.f64 z 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x) 3))))) (*.f64 5641895835477563/10000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 y (pow.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x) 2)))))) (pow.f64 z 2))))) (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x)))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 z) y))) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 z) y))) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 z) y))) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 z) y))) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 z) y))) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 z) y))) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 z) y))) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 z) y))) x))
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(*.f64 5000000000000000/5641895835477563 (*.f64 (pow.f64 1 1/3) (/.f64 y (exp.f64 z))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2)) (pow.f64 1 1/3))) (*.f64 5000000000000000/5641895835477563 (*.f64 (pow.f64 1 1/3) (/.f64 y (exp.f64 z)))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2)) (pow.f64 1 1/3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (pow.f64 1 1/3) (/.f64 y (exp.f64 z)))) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2)) (pow.f64 1 1/3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (pow.f64 1 1/3) (/.f64 y (exp.f64 z)))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3)))) (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4)) (pow.f64 1 1/3))))))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2))) (pow.f64 1 1/3))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2))) (pow.f64 1 1/3))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (pow.f64 1 1/3) (/.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 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (pow.f64 1 1/3))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2))) (pow.f64 1 1/3))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (pow.f64 1 1/3) (/.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 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2))) (pow.f64 1 1/3))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2))) (pow.f64 1 1/3))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (pow.f64 1 1/3) (/.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 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (pow.f64 1 1/3))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2))) (pow.f64 1 1/3))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) (/.f64 1 x))
Outputs
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x))
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 1 y) x))
(/.f64 -1 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 z (*.f64 y (pow.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x) 2))))) (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x)))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 1 y) x) 2))) (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 1 y) x)))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2))) (/.f64 -1 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
(fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (/.f64 z (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2)) (/.f64 -1 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 z (*.f64 y (pow.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x) 2))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x) 3))))) (*.f64 5641895835477563/10000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 y (pow.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x) 2)))))) (pow.f64 z 2)))) (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x)))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 1 y) x) 2))) (-.f64 (neg.f64 (*.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (*.f64 y y) (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 1 y) x) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 (/.f64 1 y) (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 1 y) x) 2)))) (*.f64 z z))) (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 1 y) x))))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2))) (fma.f64 (neg.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 3))) (/.f64 5641895835477563/10000000000000000 (*.f64 y (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2))))) (*.f64 z z) (/.f64 -1 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2))) (fma.f64 (*.f64 z z) (+.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 3))) (/.f64 -5641895835477563/10000000000000000 (*.f64 y (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2)))) (/.f64 -1 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
(fma.f64 (*.f64 z z) (+.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 3))) (/.f64 -5641895835477563/10000000000000000 (*.f64 y (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2)))) (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (/.f64 z (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2)) (/.f64 -1 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 z (*.f64 y (pow.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x) 2))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/50000000000000000000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x) 3))))) (+.f64 (*.f64 5641895835477563/5000000000000000 (*.f64 (/.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x) 3))))) (*.f64 5641895835477563/10000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 y (pow.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x) 2)))))) (*.f64 y (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x))) (pow.f64 1 1/3))) (*.f64 5641895835477563/30000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 y (pow.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x) 2))))))) (pow.f64 z 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x) 3))))) (*.f64 5641895835477563/10000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 y (pow.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x) 2)))))) (pow.f64 z 2))))) (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) x)))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 1 y) x) 2))) (-.f64 (*.f64 -1 (+.f64 (*.f64 (fma.f64 31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 1 (*.f64 (*.f64 y y) (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 1 y) x) 3))) (fma.f64 5641895835477563/5000000000000000 (/.f64 (*.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (*.f64 y y) (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 1 y) x) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 (/.f64 1 y) (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 1 y) x) 2)))) 1) (*.f64 y (fma.f64 -5641895835477563/5000000000000000 (/.f64 1 y) x))) (*.f64 (/.f64 (/.f64 1 y) (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 1 y) x) 2)) 5641895835477563/30000000000000000))) (pow.f64 z 3)) (*.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (*.f64 y y) (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 1 y) x) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 (/.f64 1 y) (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 1 y) x) 2)))) (*.f64 z z)))) (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 1 y) x))))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2))) (fma.f64 -1 (fma.f64 (+.f64 (/.f64 31830988618379068626528276418969/50000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 3))) (fma.f64 5641895835477563/5000000000000000 (/.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 3))) (/.f64 5641895835477563/10000000000000000 (*.f64 y (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2)))) (*.f64 y (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x))) (/.f64 5641895835477563/30000000000000000 (*.f64 y (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2))))) (pow.f64 z 3) (*.f64 z (*.f64 z (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 3))) (/.f64 5641895835477563/10000000000000000 (*.f64 y (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2))))))) (/.f64 -1 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2))) (/.f64 -1 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x))) (*.f64 (*.f64 z z) (-.f64 (+.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 3))) (/.f64 -5641895835477563/10000000000000000 (*.f64 y (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2)))) (*.f64 z (fma.f64 5641895835477563/5000000000000000 (/.f64 (+.f64 (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 3)) (/.f64 5641895835477563/10000000000000000 (*.f64 y (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2)))) (fma.f64 y x -5641895835477563/5000000000000000)) (+.f64 (/.f64 (/.f64 31830988618379068626528276418969/50000000000000000000000000000000 (*.f64 y y)) (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 3)) (/.f64 5641895835477563/30000000000000000 (*.f64 y (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2)))))))))
(fma.f64 (*.f64 z z) (fma.f64 z (-.f64 (/.f64 -31830988618379068626528276418969/50000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 3))) (fma.f64 5641895835477563/5000000000000000 (/.f64 (+.f64 (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 3)) (/.f64 5641895835477563/10000000000000000 (*.f64 y (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2)))) (fma.f64 y x -5641895835477563/5000000000000000)) (/.f64 5641895835477563/30000000000000000 (*.f64 y (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2))))) (+.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 3))) (/.f64 -5641895835477563/10000000000000000 (*.f64 y (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2))))) (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (/.f64 z (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2)) (/.f64 -1 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 z) y))) x))
(/.f64 -1 (+.f64 x (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))))
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 z) y))) x))
(/.f64 -1 (+.f64 x (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))))
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 z) y))) x))
(/.f64 -1 (+.f64 x (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))))
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 z) y))) x))
(/.f64 -1 (+.f64 x (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))))
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 z) y))) x))
(/.f64 -1 (+.f64 x (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))))
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 z) y))) x))
(/.f64 -1 (+.f64 x (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))))
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 z) y))) x))
(/.f64 -1 (+.f64 x (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))))
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 z) y))) x))
(/.f64 -1 (+.f64 x (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))))
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(*.f64 5000000000000000/5641895835477563 (*.f64 (pow.f64 1 1/3) (/.f64 y (exp.f64 z))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2)) (pow.f64 1 1/3))) (*.f64 5000000000000000/5641895835477563 (*.f64 (pow.f64 1 1/3) (/.f64 y (exp.f64 z)))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 1 (/.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 (*.f64 y (*.f64 y x)) (exp.f64 (+.f64 z z)))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y x))) (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563)))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2)) (pow.f64 1 1/3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (pow.f64 1 1/3) (/.f64 y (exp.f64 z)))) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))))))
(+.f64 (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 1 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (exp.f64 z) 2) x))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 x x)))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (*.f64 y x)) (exp.f64 (+.f64 z z))) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (exp.f64 z) 3)) (*.f64 x x)))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y x))) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 z) y) 3)) (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2)) (pow.f64 1 1/3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (pow.f64 1 1/3) (/.f64 y (exp.f64 z)))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3)))) (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4)) (pow.f64 1 1/3))))))
(+.f64 (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 1 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (exp.f64 z) 2) x))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 x x)))) (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 1 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 (exp.f64 z) 4) (pow.f64 x 3)))))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (*.f64 y x)) (exp.f64 (+.f64 z z))) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (exp.f64 z) 3)) (*.f64 x x)) (*.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)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y x))) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 z) y) 3)) (*.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) (*.f64 (pow.f64 x 3) 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961)))))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2))) (pow.f64 1 1/3))) (/.f64 1 x))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 1 (/.f64 (/.f64 (exp.f64 z) 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 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2))) (pow.f64 1 1/3))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (pow.f64 1 1/3) (/.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 1 (/.f64 (/.f64 (exp.f64 z) 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 y x))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (exp.f64 (+.f64 z z)) (*.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 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (pow.f64 1 1/3))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2))) (pow.f64 1 1/3))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (pow.f64 1 1/3) (/.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 1 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (fma.f64 -5641895835477563/5000000000000000 (*.f64 1 (/.f64 (/.f64 (exp.f64 z) 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 y x))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (exp.f64 (+.f64 z z)) (*.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 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2))) (pow.f64 1 1/3))) (/.f64 1 x))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 1 (/.f64 (/.f64 (exp.f64 z) 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 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2))) (pow.f64 1 1/3))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (pow.f64 1 1/3) (/.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 1 (/.f64 (/.f64 (exp.f64 z) 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 y x))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (exp.f64 (+.f64 z z)) (*.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 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (pow.f64 1 1/3))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2))) (pow.f64 1 1/3))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (pow.f64 1 1/3) (/.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 1 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (fma.f64 -5641895835477563/5000000000000000 (*.f64 1 (/.f64 (/.f64 (exp.f64 z) 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 y x))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (exp.f64 (+.f64 z z)) (*.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))))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 1 x))
Compiler

Compiled 13 to 9 computations (30.8% saved)

series1.0ms (0%)

Counts
1 → 3
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 x (/.f64 1 x))
0.0ms
x
@-inf
(-.f64 x (/.f64 1 x))
0.0ms
x
@inf
(-.f64 x (/.f64 1 x))

rewrite56.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
576×pow1_binary64
540×add-log-exp_binary64
540×log1p-expm1-u_binary64
540×expm1-log1p-u_binary64
528×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11107
215187
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(-.f64 x (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -1 x)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -1 x)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -1 x)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 -1 x))) (sqrt.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 x x (+.f64 1 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (/.f64 1 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 x) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (+.f64 1 (pow.f64 x -2))) (-.f64 (pow.f64 x 3) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 (*.f64 x x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (fma.f64 x x (+.f64 1 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (+.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3))) (neg.f64 (fma.f64 x x (+.f64 1 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x -2))) (neg.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 -1 x) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 -1 x) (/.f64 -1 x)) (*.f64 x (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 -1 x) (/.f64 -1 x))) (-.f64 x (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -1 x))))))

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
Stop Event
saturated
Counts
38 → 37
Calls
Call 1
Inputs
(/.f64 -1 x)
x
x
Outputs
(/.f64 -1 x)
x
x

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
0.0b
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
0.2b
(/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))
0.3b
(/.f64 -5641895835477563/5000000000000000 y)
Compiler

Compiled 31 to 21 computations (32.3% saved)

series10.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite93.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
463×log-prod_binary64
361×exp-prod_binary64
356×fma-def_binary64
293×pow-prod-down_binary64
277×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
120730
2296630
Stop Event
node limit
Counts
3 → 154
Calls
Call 1
Inputs
(/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
Outputs
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x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (-.f64 (*.f64 x x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2)))) (-.f64 x (/.f64 -5641895835477563/5000000000000000 y)) x)))))

simplify141.0ms (1.3%)

Algorithm
egg-herbie
Rules
666×distribute-neg-frac_binary64
450×sub-neg_binary64
414×unswap-sqr_binary64
315×*-commutative_binary64
307×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0711207
12041173
26201166
325021164
472121164
Stop Event
node limit
Counts
226 → 190
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(/.f64 -5641895835477563/5000000000000000 y)
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
x
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
x
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(/.f64 -5641895835477563/5000000000000000 y)
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
x
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
x
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x))
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x)))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x))))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) x))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) x)))
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
Outputs
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (*.f64 5000000000000000/5641895835477563 y))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (*.f64 5000000000000000/5641895835477563 y))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (*.f64 x (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))))))
(fma.f64 (*.f64 x x) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)))))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (*.f64 x (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)))))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 (*.f64 x x) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))
(-.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y x)) x) (/.f64 1 x))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(-.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y x)) x) (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(+.f64 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y x)) x) (/.f64 1 x)) (+.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (+.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))
(-.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y x)) x) (/.f64 1 x))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(-.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y x)) x) (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(+.f64 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y x)) x) (/.f64 1 x)) (+.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (+.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (*.f64 5000000000000000/5641895835477563 y))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (*.f64 5000000000000000/5641895835477563 y))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (*.f64 x (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))))))
(fma.f64 (*.f64 x x) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)))))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (*.f64 x (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)))))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 (*.f64 x x) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
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(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) x)))
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))))))
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 x (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y) 1) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (fma.f64 y (*.f64 y 25000000000000000000000000000000/31830988618379068626528276418969) 1) (*.f64 x (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))))))
(-.f64 x (/.f64 1 x))
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(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))))
(-.f64 (-.f64 x (/.f64 (/.f64 (/.f64 5641895835477563/5000000000000000 x) x) y)) (/.f64 1 x))
(+.f64 x (-.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y x)) x) (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (-.f64 x (/.f64 (/.f64 5641895835477563/5000000000000000 x) (*.f64 y x))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(-.f64 x (+.f64 (/.f64 1 x) (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))))
(-.f64 (-.f64 (-.f64 x (/.f64 (/.f64 (/.f64 5641895835477563/5000000000000000 x) x) y)) (/.f64 1 x)) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))
(+.f64 (+.f64 x (-.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y x)) x) (/.f64 1 x))) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))
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(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
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(-.f64 x (/.f64 1 x))
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(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
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(-.f64 (-.f64 x (/.f64 (/.f64 (/.f64 5641895835477563/5000000000000000 x) x) y)) (/.f64 1 x))
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(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
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(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
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(+.f64 (+.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y x)) x) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (-.f64 x (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (-.f64 x (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))))

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
0.0b
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
0.3b
(*.f64 5641895835477563/5000000000000000 z)
7.5b
(/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))
Compiler

Compiled 51 to 29 computations (43.1% saved)

series221.0ms (2%)

Counts
4 → 75
Calls

24 calls:

TimeVariablePointExpression
206.0ms
x
@0
(/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))
1.0ms
y
@0
(/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))
1.0ms
z
@inf
(/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))
1.0ms
x
@inf
(/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))
1.0ms
y
@inf
(/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))

rewrite111.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
681×log-prod_binary64
585×fma-def_binary64
289×fma-neg_binary64
246×pow1/3_binary64
245×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01146
126040
2401340
Stop Event
node limit
Counts
4 → 158
Calls
Call 1
Inputs
(/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))
(*.f64 5641895835477563/5000000000000000 z)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
Outputs
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simplify121.0ms (1.1%)

Algorithm
egg-herbie
Rules
881×fma-def_binary64
778×associate-/r*_binary64
545×associate-*l*_binary64
386×associate-*l/_binary64
349×associate-*r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01732838
15772622
222132493
Stop Event
node limit
Counts
233 → 240
Calls
Call 1
Inputs
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3))))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 4)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3)))))
(/.f64 -1 x)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) (*.f64 -1 (/.f64 (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 2) x)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 3) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 2) x))))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))
(+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 4))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3))) (+.f64 (*.f64 -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (pow.f64 z 4))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3))) (+.f64 (*.f64 -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (pow.f64 z 4))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3))))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 4)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3)))))
(/.f64 -1 x)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y (pow.f64 x 3)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) (*.f64 (pow.f64 y 2) (pow.f64 x 4)))))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y (pow.f64 x 3)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) (*.f64 (pow.f64 y 2) (pow.f64 x 4)))))) (/.f64 1 x))
5641895835477563/5000000000000000
(*.f64 5641895835477563/5000000000000000 z)
(*.f64 5641895835477563/5000000000000000 z)
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)))) x) (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)))) x) (+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3))))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)))) x) (+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 4)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3)))))
x
(-.f64 x (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2))) x) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2))) x)) (/.f64 1 x))
x
(-.f64 x (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2))) x) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2))) x)) (/.f64 1 x))
x
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x)
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) x))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) x)))
(-.f64 x (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) x) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 2) x))) x)) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 3) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 2) x))) x))) (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) x) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 2) x))) x)) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 3) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 2) x))) 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 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.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 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 4))) (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x))))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x))
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3))) (+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x))
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3))) (+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)))
Outputs
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (/.f64 (*.f64 y y) (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) x)))
(+.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) (*.f64 (/.f64 (*.f64 y y) (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 2)) x))
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(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 y (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (fma.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 y (/.f64 (*.f64 z z) (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)))
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (/.f64 y (pow.f64 z 3)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (fma.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 y z) (/.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) z)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)))
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (/.f64 y (pow.f64 z 3)) (pow.f64 (fma.f64 x (neg.f64 y) 5641895835477563/5000000000000000) 2)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (fma.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 y z) (/.f64 (fma.f64 x (neg.f64 y) 5641895835477563/5000000000000000) z)) x)))

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (*.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y))
0.4b
(fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))
0.5b
(/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))
7.6b
(*.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y)
Compiler

Compiled 60 to 25 computations (58.3% saved)

series149.0ms (1.3%)

Counts
4 → 144
Calls

36 calls:

TimeVariablePointExpression
120.0ms
z
@0
(/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))
10.0ms
y
@0
(fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))
2.0ms
z
@0
(*.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y)
1.0ms
z
@inf
(*.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y)
1.0ms
z
@-inf
(*.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y)

rewrite116.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
586×log-prod_binary64
381×pow-prod-down_binary64
314×pow2_binary64
289×fma-def_binary64
218×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01360
126952
2349752
Stop Event
node limit
Counts
4 → 179
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y)
(/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))
(fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))
(+.f64 x (*.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))) (cbrt.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)) -2)) (cbrt.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)) -1/2) (pow.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))) -2) (cbrt.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) 1) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))))))) 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simplify168.0ms (1.5%)

Algorithm
egg-herbie
Rules
872×fma-def_binary64
715×associate-/l*_binary64
658×associate-/r*_binary64
588×associate-*r*_binary64
563×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01934056
15843897
220283796
Stop Event
node limit
Counts
323 → 270
Calls
Call 1
Inputs
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))) (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))))
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(/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))))
(/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))))
(/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))))
(/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))))
(/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))))
(/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))))
(/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))))
(/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 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))
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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 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 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))))
(+.f64 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))) (*.f64 -5641895835477563/5000000000000000 (/.f64 z (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))))
(+.f64 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))) (*.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2)))) (pow.f64 z 2))))
(+.f64 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))) (+.f64 (*.f64 (pow.f64 z 3) (-.f64 (*.f64 31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 1 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 3))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2)))) (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))))) (*.f64 5641895835477563/30000000000000000 (/.f64 1 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2)))))) (*.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2)))) (pow.f64 z 2)))))
(/.f64 1 (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))))
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(/.f64 1 (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))))
(/.f64 1 (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))))
(/.f64 1 (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))))
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(/.f64 1 (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))))
(/.f64 1 (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))))
(/.f64 5000000000000000/5641895835477563 (exp.f64 z))
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(/.f64 -1 (*.f64 y x))
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(/.f64 5000000000000000/5641895835477563 (exp.f64 z))
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(/.f64 -1 (*.f64 y x))
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(/.f64 -1 (*.f64 y x))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 y x)))
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(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
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(+.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 (*.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 5641895835477563/5000000000000000 (exp.f64 z))
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(+.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)))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
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(+.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)))
(*.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))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))) x)
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))) x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 3)))))) (+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))) x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 3)))))) (+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 y (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 3))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (+.f64 (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 3)))) (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))))) (*.f64 5641895835477563/30000000000000000 (/.f64 y (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))))) (pow.f64 z 3))) x))))
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x)
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x)
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x)
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x)
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x)
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x)
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x)
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) 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))
Outputs
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))))
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))) (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x)))) (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) 2))))
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(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x)
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 y x)))))
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x)
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 y x)))))
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x)
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 y x)))))
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x)
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 y x)))))
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x)
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 y x)))))
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x)
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 y x)))))
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.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))
(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 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2)))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
(fma.f64 x (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2)) 1) (*.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 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)))
(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 (pow.f64 y 3) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 x x))) (fma.f64 x (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2)))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))
(fma.f64 x (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2)) 1) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x x)) (pow.f64 (/.f64 (exp.f64 z) y) 3))))
(-.f64 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 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) x) (/.f64 1 x))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (+.f64 x (/.f64 -1 x)))
(fma.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x x)) (/.f64 (exp.f64 z) y) (-.f64 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 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) x)) (/.f64 1 x))
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.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 (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) x) (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (/.f64 (exp.f64 z) (*.f64 x 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 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) 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 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) x))) (/.f64 -1 x))
(fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (pow.f64 x 4)) (+.f64 (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) x) (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (/.f64 (exp.f64 z) (*.f64 x x)) (/.f64 -1 x))))
(-.f64 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 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) x) (/.f64 1 x))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (+.f64 x (/.f64 -1 x)))
(fma.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x x)) (/.f64 (exp.f64 z) y) (-.f64 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 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) x)) (/.f64 1 x))
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.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 (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) x) (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (/.f64 (exp.f64 z) (*.f64 x 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 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) 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 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) x))) (/.f64 -1 x))
(fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (pow.f64 x 4)) (+.f64 (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) x) (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (/.f64 (exp.f64 z) (*.f64 x x)) (/.f64 -1 x))))

eval502.0ms (4.5%)

Compiler

Compiled 19426 to 12151 computations (37.4% saved)

prune161.0ms (1.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New9299938
Fresh145
Picked101
Done314
Total93414948
Error
0b
Counts
948 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
23.6b
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
12.6b
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)
27.1b
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
27.0b
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
41.2b
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (+.f64 x (/.f64 1 x)))
20.7b
(-.f64 x (/.f64 1 x))
38.4b
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
22.6b
(+.f64 x (*.f64 (/.f64 -1 (*.f64 y x)) y))
12.0b
(+.f64 x (*.f64 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))) y))
50.8b
(/.f64 -1 x)
22.8b
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x)
10.9b
(+.f64 x (/.f64 y (-.f64 (*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 y x))))
22.5b
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
19.8b
x
Compiler

Compiled 320 to 231 computations (27.8% saved)

localize48.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 -5641895835477563/5000000000000000 z)
0.6b
(/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))
7.5b
(/.f64 y (-.f64 (*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 y x)))
12.2b
(*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))
Compiler

Compiled 121 to 84 computations (30.6% saved)

series15.0ms (0.1%)

Counts
4 → 60
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 y (-.f64 (*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 y x)))
2.0ms
y
@0
(/.f64 y (-.f64 (*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 y x)))
2.0ms
y
@inf
(/.f64 y (-.f64 (*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 y x)))
1.0ms
y
@-inf
(/.f64 y (-.f64 (*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 y x)))
1.0ms
x
@0
(/.f64 y (-.f64 (*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 y x)))

rewrite125.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
681×fma-def_binary64
389×fma-neg_binary64
341×expm1-udef_binary64
341×log1p-udef_binary64
206×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01861
141235
2567635
Stop Event
node limit
Counts
4 → 123
Calls
Call 1
Inputs
(*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))
(/.f64 y (-.f64 (*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 y x)))
(/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))
(*.f64 -5641895835477563/5000000000000000 z)
Outputs
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simplify134.0ms (1.2%)

Algorithm
egg-herbie
Rules
890×associate-/r*_binary64
769×fma-def_binary64
582×associate-*l*_binary64
324×associate-*l/_binary64
296×associate-*r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01733004
15632708
221552384
Stop Event
node limit
Counts
183 → 179
Calls
Call 1
Inputs
5641895835477563/5000000000000000
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(*.f64 5641895835477563/5000000000000000 z)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(*.f64 5641895835477563/5000000000000000 z)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(/.f64 y (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))))
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(+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 4)) (/.f64 y (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))))))))
(/.f64 -1 x)
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(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))))) (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)) (pow.f64 x 2))))) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 2) (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))))) (*.f64 (pow.f64 y 2) (pow.f64 x 4))))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 y (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)) (pow.f64 x 2))))) (/.f64 1 x)))
5000000000000000/5641895835477563
(+.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 z))
(+.f64 5000000000000000/5641895835477563 (+.f64 (*.f64 5000000000000000/5641895835477563 (pow.f64 z 2)) (*.f64 5000000000000000/5641895835477563 z)))
(+.f64 5000000000000000/5641895835477563 (+.f64 (*.f64 5000000000000000/5641895835477563 (pow.f64 z 3)) (+.f64 (*.f64 5000000000000000/5641895835477563 (pow.f64 z 2)) (*.f64 5000000000000000/5641895835477563 z))))
(/.f64 -5000000000000000/5641895835477563 z)
(neg.f64 (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 1 (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 1 (pow.f64 z 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))))
(neg.f64 (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 1 (pow.f64 z 4))) (*.f64 5000000000000000/5641895835477563 (/.f64 1 z))))))
(/.f64 -5000000000000000/5641895835477563 z)
(neg.f64 (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 1 (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 1 (pow.f64 z 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))))
(neg.f64 (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 1 (pow.f64 z 4))) (*.f64 5000000000000000/5641895835477563 (/.f64 1 z))))))
Outputs
5641895835477563/5000000000000000
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(*.f64 5641895835477563/5000000000000000 z)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(*.f64 5641895835477563/5000000000000000 z)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(/.f64 y (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))))
(/.f64 y (-.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))))))
(/.f64 y (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) (*.f64 (/.f64 (*.f64 z z) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) -31830988618379068626528276418969/25000000000000000000000000000000)))
(/.f64 y (fma.f64 (/.f64 z (/.f64 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000) z)) -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000))))
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(+.f64 (/.f64 y (-.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000)))))) (/.f64 (*.f64 y y) (/.f64 (pow.f64 (-.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))))) 2) x)))
(+.f64 (/.f64 y (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) (*.f64 (/.f64 (*.f64 z z) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) -31830988618379068626528276418969/25000000000000000000000000000000))) (*.f64 (/.f64 (*.f64 y y) (pow.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) (*.f64 (/.f64 (*.f64 z z) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) -31830988618379068626528276418969/25000000000000000000000000000000)) 2)) x))
(fma.f64 (/.f64 (*.f64 y y) (pow.f64 (fma.f64 (/.f64 z (/.f64 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000) z)) -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000))) 2)) x (/.f64 y (fma.f64 (/.f64 z (/.f64 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000) z)) -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)))))
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(+.f64 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (-.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))))) 2) x)) (+.f64 (/.f64 y (-.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000)))))) (/.f64 (*.f64 (pow.f64 y 3) (*.f64 x x)) (pow.f64 (-.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))))) 3))))
(+.f64 (+.f64 (/.f64 y (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) (*.f64 (/.f64 (*.f64 z z) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) -31830988618379068626528276418969/25000000000000000000000000000000))) (*.f64 (/.f64 (*.f64 y y) (pow.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) (*.f64 (/.f64 (*.f64 z z) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) -31830988618379068626528276418969/25000000000000000000000000000000)) 2)) x)) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) (*.f64 (/.f64 (*.f64 z z) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) -31830988618379068626528276418969/25000000000000000000000000000000)) 3)) (*.f64 x x)))
(+.f64 (fma.f64 (/.f64 (*.f64 y y) (pow.f64 (fma.f64 (/.f64 z (/.f64 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000) z)) -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000))) 2)) x (/.f64 y (fma.f64 (/.f64 z (/.f64 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000) z)) -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000))))) (/.f64 (*.f64 x x) (pow.f64 (/.f64 (fma.f64 (/.f64 z (/.f64 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000) z)) -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000))) y) 3)))
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 4)) (/.f64 y (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))))))))
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5000000000000000/5641895835477563
(+.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 z))
(+.f64 5000000000000000/5641895835477563 (*.f64 z 5000000000000000/5641895835477563))
(fma.f64 z 5000000000000000/5641895835477563 5000000000000000/5641895835477563)
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(+.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (+.f64 (*.f64 z z) z)))
(fma.f64 5000000000000000/5641895835477563 (fma.f64 z z z) 5000000000000000/5641895835477563)
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(+.f64 5000000000000000/5641895835477563 (fma.f64 5000000000000000/5641895835477563 (pow.f64 z 3) (*.f64 5000000000000000/5641895835477563 (+.f64 (*.f64 z z) z))))
(+.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (+.f64 (fma.f64 z z z) (pow.f64 z 3))))
(fma.f64 5000000000000000/5641895835477563 (+.f64 (fma.f64 z z z) (pow.f64 z 3)) 5000000000000000/5641895835477563)
(/.f64 -5000000000000000/5641895835477563 z)
(neg.f64 (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 1 (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 1 z))))
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(/.f64 -5000000000000000/5641895835477563 z)
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(-.f64 (/.f64 -5000000000000000/5641895835477563 (*.f64 z z)) (+.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 5000000000000000/5641895835477563 (pow.f64 z 3))))
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(neg.f64 (+.f64 (/.f64 5000000000000000/5641895835477563 (*.f64 z z)) (+.f64 (/.f64 5000000000000000/5641895835477563 (pow.f64 z 3)) (+.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 5000000000000000/5641895835477563 (pow.f64 z 4))))))
(-.f64 (/.f64 -5000000000000000/5641895835477563 (*.f64 z z)) (+.f64 (/.f64 5000000000000000/5641895835477563 z) (+.f64 (/.f64 5000000000000000/5641895835477563 (pow.f64 z 3)) (/.f64 5000000000000000/5641895835477563 (pow.f64 z 4)))))
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localize4.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
0.3b
(/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))
0.3b
(/.f64 -5641895835477563/5000000000000000 y)
Compiler

Compiled 22 to 16 computations (27.3% saved)

series156.0ms (1.4%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
152.0ms
x
@0
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
1.0ms
y
@inf
(/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))
1.0ms
y
@0
(/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))
0.0ms
y
@-inf
(/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))
0.0ms
x
@inf
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))

rewrite75.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
920×pow1_binary64
862×add-log-exp_binary64
862×log1p-expm1-u_binary64
862×expm1-log1p-u_binary64
845×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0811
11819
224379
Stop Event
node limit
Counts
2 → 60
Calls
Call 1
Inputs
(/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y 5000000000000000/5641895835477563)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 y -5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 5000000000000000/5641895835477563)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 5000000000000000/5641895835477563) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (cbrt.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))) (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -5000000000000000/5641895835477563) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5000000000000000/5641895835477563 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -5000000000000000/5641895835477563 (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 5000000000000000/5641895835477563 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 5000000000000000/5641895835477563 (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 5000000000000000/5641895835477563) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 5641895835477563/5000000000000000 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y -5000000000000000/5641895835477563))))) (#(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 cbrt.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 5000000000000000/5641895835477563 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 y -5000000000000000/5641895835477563))) (/.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (+.f64 x (*.f64 y -5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 5000000000000000/5641895835477563 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 5000000000000000/5641895835477563 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) (pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 2) (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))) (/.f64 1 (+.f64 x (*.f64 y -5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))) (+.f64 (pow.f64 x 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 y -5000000000000000/5641895835477563)) (-.f64 (*.f64 x x) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))) (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x 5000000000000000/5641895835477563) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))) (+.f64 x (*.f64 y -5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)))) (neg.f64 (+.f64 x (*.f64 y -5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 y -5000000000000000/5641895835477563) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y 5000000000000000/5641895835477563) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))) (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 5000000000000000/5641895835477563 y x)))))

simplify12.0ms (0.1%)

Algorithm
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06153
19153
210153
Stop Event
saturated
Counts
96 → 62
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
Outputs
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
14.9b
(/.f64 y (*.f64 y (neg.f64 x)))
Compiler

Compiled 25 to 7 computations (72% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y
@0
(/.f64 y (*.f64 y (neg.f64 x)))
0.0ms
y
@0
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
0.0ms
x
@inf
(/.f64 y (*.f64 y (neg.f64 x)))
0.0ms
x
@0
(/.f64 y (*.f64 y (neg.f64 x)))
0.0ms
y
@inf
(/.f64 y (*.f64 y (neg.f64 x)))

rewrite62.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
831×pow1_binary64
776×add-log-exp_binary64
775×log1p-expm1-u_binary64
775×expm1-log1p-u_binary64
758×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0721
116211
2264711
Stop Event
node limit
Counts
2 → 72
Calls
Call 1
Inputs
(/.f64 y (*.f64 y (neg.f64 x)))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (/.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (/.f64 1 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (/.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (/.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 (/.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) y) (/.f64 (cbrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 y (cbrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 y x))) (/.f64 y (sqrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 y x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 0 (log.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 1 x))) (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 1 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) (sqrt.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (-.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 x x)) (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 1 x)) (pow.f64 (+.f64 x (/.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (+.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (-.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (/.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3)))) (neg.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2)) (neg.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (-.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 (/.f64 1 x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (/.f64 1 (cbrt.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 1 x))))))

simplify28.0ms (0.2%)

Algorithm
egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
12×associate-/r*_binary64
12×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07249
111249
215249
323249
433249
550249
687249
7126249
8172249
9216249
10259249
11261249
Stop Event
saturated
Counts
120 → 75
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
Outputs
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
x
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
x
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x)
0.0b
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
0.2b
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
0.3b
(*.f64 5641895835477563/5000000000000000 z)
Compiler

Compiled 31 to 21 computations (32.3% saved)

series7.0ms (0.1%)

Counts
2 → 30
Calls

15 calls:

TimeVariablePointExpression
1.0ms
y
@0
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
1.0ms
y
@inf
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
1.0ms
y
@-inf
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
1.0ms
x
@0
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x)
0.0ms
z
@0
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))

rewrite157.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
845×prod-diff_binary64
512×log-prod_binary64
334×fma-def_binary64
282×pow2_binary64
193×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
120519
2294619
Stop Event
node limit
Counts
2 → 101
Calls
Call 1
Inputs
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) (cbrt.f64 (pow.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) 2)) (cbrt.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) (sqrt.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))))) 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simplify67.0ms (0.6%)

Algorithm
egg-herbie
Rules
820×distribute-lft-out_binary64
641×associate-/l/_binary64
640×associate-/l*_binary64
449×associate-*l/_binary64
415×distribute-rgt-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
053454
1152441
2416398
31301380
43178358
57693358
Stop Event
node limit
Counts
131 → 132
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 3))))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4))) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4))) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))))
x
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 3))) x))))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x)))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x)))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
x
x
Outputs
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 5000000000000000/5641895835477563 y))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 5000000000000000/5641895835477563 (fma.f64 y (*.f64 z z) y) (*.f64 y (*.f64 -5000000000000000/5641895835477563 z)))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z (+.f64 (*.f64 5000000000000000/5641895835477563 z) -5000000000000000/5641895835477563))))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z (+.f64 -5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 z)))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 3))))))
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 y z) (*.f64 y (pow.f64 z 3))))))
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 (*.f64 y -5000000000000000/5641895835477563) (+.f64 z (pow.f64 z 3)))))
(fma.f64 (*.f64 y -5000000000000000/5641895835477563) (+.f64 z (pow.f64 z 3)) (*.f64 5000000000000000/5641895835477563 (fma.f64 y (*.f64 z z) y)))
(*.f64 (+.f64 (*.f64 z z) 1) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))))
(*.f64 (fma.f64 y (*.f64 z z) y) (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (*.f64 z z))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 (/.f64 y z) z)))
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (*.f64 z z)))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 (/.f64 y z) z))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 (/.f64 y (*.f64 z z)) (+.f64 -5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z))))
(*.f64 (/.f64 y z) (+.f64 (/.f64 -5000000000000000/5641895835477563 z) (+.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 (*.f64 z z)))))
(*.f64 (/.f64 y z) (+.f64 (/.f64 5000000000000000/5641895835477563 (*.f64 z z)) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4))) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (+.f64 (/.f64 y (pow.f64 z 4)) (/.f64 y (*.f64 z z))))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (+.f64 (/.f64 (/.f64 y z) z) (/.f64 y (pow.f64 z 4))))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4)) (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))))
(+.f64 (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))) (*.f64 (/.f64 y (pow.f64 z 3)) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))))
(*.f64 (+.f64 (/.f64 y z) (/.f64 y (pow.f64 z 3))) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (*.f64 z z))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 (/.f64 y z) z)))
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (*.f64 z z)))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 (/.f64 y z) z))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 (/.f64 y (*.f64 z z)) (+.f64 -5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z))))
(*.f64 (/.f64 y z) (+.f64 (/.f64 -5000000000000000/5641895835477563 z) (+.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 (*.f64 z z)))))
(*.f64 (/.f64 y z) (+.f64 (/.f64 5000000000000000/5641895835477563 (*.f64 z z)) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4))) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (+.f64 (/.f64 y (pow.f64 z 4)) (/.f64 y (*.f64 z z))))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (+.f64 (/.f64 (/.f64 y z) z) (/.f64 y (pow.f64 z 4))))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4)) (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))))
(+.f64 (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))) (*.f64 (/.f64 y (pow.f64 z 3)) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))))
(*.f64 (+.f64 (/.f64 y z) (/.f64 y (pow.f64 z 3))) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
x
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000)))
(/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000)))
(/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000))
(+.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 (*.f64 y -5000000000000000/5641895835477563) z x))
(fma.f64 5000000000000000/5641895835477563 y (fma.f64 y (*.f64 -5000000000000000/5641895835477563 z) x))
(fma.f64 y (*.f64 -5000000000000000/5641895835477563 z) (fma.f64 5000000000000000/5641895835477563 y x))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)))
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) x)))
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (fma.f64 (*.f64 y -5000000000000000/5641895835477563) z x)))
(fma.f64 5000000000000000/5641895835477563 (fma.f64 y (*.f64 z z) y) (fma.f64 y (*.f64 -5000000000000000/5641895835477563 z) x))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 3))) x))))
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (fma.f64 -5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 3)) x))))
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 y (+.f64 z (pow.f64 z 3))) x)))
(fma.f64 5000000000000000/5641895835477563 (fma.f64 y (*.f64 z z) y) (fma.f64 (*.f64 y -5000000000000000/5641895835477563) (+.f64 z (pow.f64 z 3)) x))
(+.f64 (*.f64 (+.f64 (*.f64 z z) 1) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)))) x)
(+.f64 (*.f64 (fma.f64 y (*.f64 z z) y) (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (fma.f64 -5000000000000000/5641895835477563 (/.f64 y (*.f64 z z)) x))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (fma.f64 -5000000000000000/5641895835477563 (/.f64 (/.f64 y z) z) x))
(+.f64 (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x)))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (fma.f64 -5000000000000000/5641895835477563 (/.f64 y (*.f64 z z)) x)))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (fma.f64 -5000000000000000/5641895835477563 (/.f64 (/.f64 y z) z) x)))
(+.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) (*.f64 (/.f64 y (*.f64 z z)) (+.f64 -5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z))))
(+.f64 (*.f64 (/.f64 y z) (+.f64 (/.f64 -5000000000000000/5641895835477563 z) (+.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 (*.f64 z z))))) x)
(+.f64 (*.f64 (/.f64 y z) (+.f64 (/.f64 5000000000000000/5641895835477563 (*.f64 z z)) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (fma.f64 -5000000000000000/5641895835477563 (/.f64 y (*.f64 z z)) x))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (fma.f64 -5000000000000000/5641895835477563 (/.f64 (/.f64 y z) z) x))
(+.f64 (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x)))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (fma.f64 -5000000000000000/5641895835477563 (/.f64 y (*.f64 z z)) x)))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (fma.f64 -5000000000000000/5641895835477563 (/.f64 (/.f64 y z) z) x)))
(+.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) (*.f64 (/.f64 y (*.f64 z z)) (+.f64 -5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z))))
(+.f64 (*.f64 (/.f64 y z) (+.f64 (/.f64 -5000000000000000/5641895835477563 z) (+.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 (*.f64 z z))))) x)
(+.f64 (*.f64 (/.f64 y z) (+.f64 (/.f64 5000000000000000/5641895835477563 (*.f64 z z)) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))) x)
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000)))
(/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000))
x
x

eval307.0ms (2.8%)

Compiler

Compiled 9996 to 6709 computations (32.9% saved)

prune154.0ms (1.4%)

Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New5324536
Fresh358
Picked101
Done145
Total53713550
Error
0b
Counts
550 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
23.6b
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
12.6b
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)
41.9b
(+.f64 (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))) x)
27.1b
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
10.9b
(+.f64 x (/.f64 y (-.f64 (*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 y x))))
27.0b
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x)
20.7b
(-.f64 x (/.f64 1 x))
55.3b
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
22.6b
(+.f64 x (*.f64 (/.f64 -1 (*.f64 y x)) y))
50.8b
(/.f64 -1 x)
41.2b
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (+.f64 x (/.f64 1 x)))
22.5b
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
19.8b
x
Compiler

Compiled 237 to 170 computations (28.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)
0.0b
(-.f64 5641895835477563/5000000000000000 (*.f64 y x))
7.5b
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
Compiler

Compiled 30 to 14 computations (53.3% saved)

series7.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
y
@0
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
1.0ms
y
@inf
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
0.0ms
x
@0
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)
0.0ms
x
@-inf
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
0.0ms
y
@-inf
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))

rewrite106.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
859×prod-diff_binary64
487×log-prod_binary64
305×pow-prod-down_binary64
305×fma-def_binary64
259×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
118930
2280130
Stop Event
node limit
Counts
3 → 152
Calls
Call 1
Inputs
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
(-.f64 5641895835477563/5000000000000000 (*.f64 y x))
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 5641895835477563/5000000000000000 (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) 5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (neg.f64 y) 5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (neg.f64 y) 5641895835477563/5000000000000000))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (neg.f64 y) 5641895835477563/5000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (neg.f64 y) 5641895835477563/5000000000000000)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (neg.f64 y) 5641895835477563/5000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (neg.f64 y) 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simplify139.0ms (1.3%)

Algorithm
egg-herbie
Rules
466×sub-neg_binary64
414×unswap-sqr_binary64
334×*-commutative_binary64
289×fma-def_binary64
288×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0701249
12071189
26391180
325541178
473931178
Stop Event
node limit
Counts
224 → 190
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
5641895835477563/5000000000000000
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
5641895835477563/5000000000000000
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) x))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) x)))
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x))
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x)))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x))))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
Outputs
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (*.f64 5000000000000000/5641895835477563 y))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (*.f64 5000000000000000/5641895835477563 y))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 x (pow.f64 y 3))))))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 y (*.f64 y 25000000000000000000000000000000/31830988618379068626528276418969)) (*.f64 (pow.f64 y 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 x)))))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 (*.f64 y y) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 x) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 y x))))))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 x (pow.f64 y 3)))))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 y (*.f64 y 25000000000000000000000000000000/31830988618379068626528276418969)) (*.f64 (pow.f64 y 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 x))))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 (*.f64 y y) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 x) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 y x)))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x))
(+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(-.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))
(+.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(+.f64 (+.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x))
(+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(-.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))
(+.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(+.f64 (+.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (*.f64 5000000000000000/5641895835477563 y))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (*.f64 5000000000000000/5641895835477563 y))
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(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(+.f64 x (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
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(+.f64 x (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x)))
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(-.f64 (+.f64 x (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))
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(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(-.f64 (-.f64 (+.f64 x (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(+.f64 (+.f64 (-.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) (/.f64 -1 x)) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(+.f64 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 x (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x)))))
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 5000000000000000/5641895835477563 y x))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 5000000000000000/5641895835477563 y x))
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x)))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 5000000000000000/5641895835477563 y (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) x)))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 5000000000000000/5641895835477563 y (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 x (pow.f64 y 3))) x)))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 (pow.f64 y 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 x)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y) 1))))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y) 1) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (pow.f64 y 3))))))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x))))
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x
(-.f64 x (/.f64 1 x))
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(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
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(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
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x
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(+.f64 x (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))))
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(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(-.f64 (+.f64 x (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))
(+.f64 (-.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) (/.f64 -1 x))
(+.f64 x (+.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
0.4b
(*.f64 5000000000000000/5641895835477563 y)
Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts
2 → 6
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@0
(*.f64 5000000000000000/5641895835477563 y)
0.0ms
y
@inf
(*.f64 5000000000000000/5641895835477563 y)
0.0ms
x
@inf
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
0.0ms
y
@0
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
0.0ms
y
@-inf
(*.f64 5000000000000000/5641895835477563 y)

rewrite102.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
687×pow1_binary64
642×add-log-exp_binary64
642×log1p-expm1-u_binary64
642×expm1-log1p-u_binary64
629×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11319
217329
Stop Event
node limit
Counts
2 → 46
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
Outputs
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egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2) (*.f64 x (-.f64 x (*.f64 5000000000000000/5641895835477563 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 5000000000000000/5641895835477563 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2)) (-.f64 x (*.f64 5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 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5000000000000000/5641895835477563 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 5000000000000000/5641895835477563 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 5000000000000000/5641895835477563 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 5000000000000000/5641895835477563 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 2) (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 5000000000000000/5641895835477563 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) x)))))

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
1615
Stop Event
saturated
Counts
52 → 48
Calls
Call 1
Inputs
x
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
x
x
Outputs
x
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
x
x

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
0.2b
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
0.3b
(*.f64 5641895835477563/5000000000000000 z)
Compiler

Compiled 21 to 15 computations (28.6% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))) x)
0.0b
(+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))
0.2b
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
0.4b
(/.f64 -5000000000000000/5641895835477563 z)
Compiler

Compiled 39 to 23 computations (41% saved)

series13.0ms (0.1%)

Counts
4 → 72
Calls

21 calls:

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

rewrite120.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
627×log-prod_binary64
435×fma-def_binary64
340×pow2_binary64
235×pow1/3_binary64
231×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01138
125838
2379738
Stop Event
node limit
Counts
4 → 222
Calls
Call 1
Inputs
(/.f64 -5000000000000000/5641895835477563 z)
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))
(+.f64 (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -5000000000000000/5641895835477563 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -5000000000000000/5641895835477563 z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -5000000000000000/5641895835477563 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -5000000000000000/5641895835477563 z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -5000000000000000/5641895835477563 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -5000000000000000/5641895835477563 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -5000000000000000/5641895835477563 (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -5000000000000000/5641895835477563 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5000000000000000/5641895835477563 (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -5000000000000000/5641895835477563 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -5000000000000000/5641895835477563 z)) (pow.f64 (cbrt.f64 (/.f64 -5000000000000000/5641895835477563 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -5000000000000000/5641895835477563 z)) 2) (cbrt.f64 (/.f64 -5000000000000000/5641895835477563 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -5000000000000000/5641895835477563 z)) (sqrt.f64 (/.f64 -5000000000000000/5641895835477563 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) -5000000000000000/5641895835477563)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -5000000000000000/5641895835477563 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 z z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -5000000000000000/5641895835477563 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -5000000000000000/5641895835477563 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z -5641895835477563/5000000000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z -5641895835477563/5000000000000000) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -5000000000000000/5641895835477563 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -5000000000000000/5641895835477563 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -5000000000000000/5641895835477563 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -5000000000000000/5641895835477563 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -5000000000000000/5641895835477563 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -5000000000000000/5641895835477563 z)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y z) 5000000000000000/5641895835477563) (*.f64 (/.f64 -5000000000000000/5641895835477563 z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -5000000000000000/5641895835477563 z) (/.f64 y z)) (*.f64 (/.f64 y z) 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 y z) (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 y z) 5000000000000000/5641895835477563) 1) (*.f64 (*.f64 (/.f64 -5000000000000000/5641895835477563 z) (/.f64 y z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) (/.f64 y z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) (/.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y z) (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 z (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 y (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 z 3))) (*.f64 (/.f64 z y) (fma.f64 (/.f64 -5000000000000000/5641895835477563 z) (-.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) 25000000000000000000000000000000/31830988618379068626528276418969)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 z z))) (*.f64 (/.f64 z y) (-.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 z 3)))) (*.f64 z (fma.f64 (/.f64 -5000000000000000/5641895835477563 z) (-.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) 25000000000000000000000000000000/31830988618379068626528276418969)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (+.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 z 3)))) (*.f64 (neg.f64 z) (fma.f64 (/.f64 -5000000000000000/5641895835477563 z) (-.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) 25000000000000000000000000000000/31830988618379068626528276418969)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 z z)))) (*.f64 z (-.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (-.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 z z)))) (*.f64 (neg.f64 z) (-.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 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(2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y z) 5000000000000000/5641895835477563)) 2) (cbrt.f64 (*.f64 (/.f64 y z) 5000000000000000/5641895835477563)) (fma.f64 (/.f64 -5000000000000000/5641895835477563 z) (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 y z) 5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 (/.f64 y z) 5000000000000000/5641895835477563)) (fma.f64 (/.f64 -5000000000000000/5641895835477563 z) (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 5000000000000000/5641895835477563 y) (/.f64 1 z) (fma.f64 (/.f64 -5000000000000000/5641895835477563 z) (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y 1) (/.f64 (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (cbrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (sqrt.f64 z)) (/.f64 (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 y z) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) 2)) (cbrt.f64 (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 y z) (sqrt.f64 (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563))) (sqrt.f64 (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (/.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 5000000000000000/5641895835477563 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (/.f64 y z)) (fma.f64 (/.f64 -5000000000000000/5641895835477563 z) (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 5000000000000000/5641895835477563 (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)) (fma.f64 (/.f64 -5000000000000000/5641895835477563 z) (/.f64 y z) x))))))

simplify98.0ms (0.9%)

Algorithm
egg-herbie
Rules
706×times-frac_binary64
703×div-sub_binary64
413×associate-/l*_binary64
348×associate-/r*_binary64
341×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031857
177857
2147785
3326785
41161785
55372785
67790785
Stop Event
node limit
Counts
294 → 242
Calls
Call 1
Inputs
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z)
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z)
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z)
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z)
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z)
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z)
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z)
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z)
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z)
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z)
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z)
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z)
(*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))
(/.f64 -5000000000000000/5641895835477563 z)
(-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))
(-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))
(-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))
5000000000000000/5641895835477563
(-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))
(-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))
(-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))
5000000000000000/5641895835477563
(-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))
(-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))
(-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))
x
(+.f64 (*.f64 y (-.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)) (*.f64 5000000000000000/5641895835477563 (/.f64 1 (pow.f64 z 2))))) x)
(+.f64 (*.f64 y (-.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)) (*.f64 5000000000000000/5641895835477563 (/.f64 1 (pow.f64 z 2))))) x)
(+.f64 (*.f64 y (-.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)) (*.f64 5000000000000000/5641895835477563 (/.f64 1 (pow.f64 z 2))))) x)
(*.f64 y (-.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)) (*.f64 5000000000000000/5641895835477563 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (*.f64 y (-.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)) (*.f64 5000000000000000/5641895835477563 (/.f64 1 (pow.f64 z 2))))) x)
(+.f64 (*.f64 y (-.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)) (*.f64 5000000000000000/5641895835477563 (/.f64 1 (pow.f64 z 2))))) x)
(+.f64 (*.f64 y (-.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)) (*.f64 5000000000000000/5641895835477563 (/.f64 1 (pow.f64 z 2))))) x)
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z)
(+.f64 (/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z) x)
(+.f64 (/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z) x)
(+.f64 (/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z) x)
(*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 x (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 x (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x))
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z)
(+.f64 (/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z) x)
(+.f64 (/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z) x)
(+.f64 (/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z) x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z) x)
(+.f64 (/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z) x)
(+.f64 (/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z) x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z) x)
(+.f64 (/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z) x)
(+.f64 (/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z) x)
Outputs
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z)
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z))) z)
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(*.f64 (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (/.f64 y z))
(*.f64 y (/.f64 (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z)) z))
(*.f64 (/.f64 5000000000000000/5641895835477563 z) (-.f64 y (/.f64 y z)))
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z)
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z))) z)
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(*.f64 (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (/.f64 y z))
(*.f64 y (/.f64 (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z)) z))
(*.f64 (/.f64 5000000000000000/5641895835477563 z) (-.f64 y (/.f64 y z)))
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z)
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z))) z)
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(*.f64 (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (/.f64 y z))
(*.f64 y (/.f64 (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z)) z))
(*.f64 (/.f64 5000000000000000/5641895835477563 z) (-.f64 y (/.f64 y z)))
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z)
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z))) z)
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(*.f64 (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (/.f64 y z))
(*.f64 y (/.f64 (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z)) z))
(*.f64 (/.f64 5000000000000000/5641895835477563 z) (-.f64 y (/.f64 y z)))
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z)
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z))) z)
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(*.f64 (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (/.f64 y z))
(*.f64 y (/.f64 (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z)) z))
(*.f64 (/.f64 5000000000000000/5641895835477563 z) (-.f64 y (/.f64 y z)))
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z)
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z))) z)
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(*.f64 (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (/.f64 y z))
(*.f64 y (/.f64 (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z)) z))
(*.f64 (/.f64 5000000000000000/5641895835477563 z) (-.f64 y (/.f64 y z)))
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z)
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z))) z)
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(*.f64 (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (/.f64 y z))
(*.f64 y (/.f64 (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z)) z))
(*.f64 (/.f64 5000000000000000/5641895835477563 z) (-.f64 y (/.f64 y z)))
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z)
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z))) z)
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(*.f64 (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (/.f64 y z))
(*.f64 y (/.f64 (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z)) z))
(*.f64 (/.f64 5000000000000000/5641895835477563 z) (-.f64 y (/.f64 y z)))
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z)
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z))) z)
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(*.f64 (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (/.f64 y z))
(*.f64 y (/.f64 (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z)) z))
(*.f64 (/.f64 5000000000000000/5641895835477563 z) (-.f64 y (/.f64 y z)))
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z)
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(*.f64 y (/.f64 (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z)) z))
(*.f64 (/.f64 5000000000000000/5641895835477563 z) (-.f64 y (/.f64 y z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 x (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))))
(fma.f64 y (-.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 y (+.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 -5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) x)
(fma.f64 y (/.f64 (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z)) z) x)
(fma.f64 (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (/.f64 y z) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 x (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))))
(fma.f64 y (-.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 y (+.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 -5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) x)
(fma.f64 y (/.f64 (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z)) z) x)
(fma.f64 (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (/.f64 y z) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x))
(fma.f64 y (-.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 y (+.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 -5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) x)
(fma.f64 y (/.f64 (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z)) z) x)
(fma.f64 (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (/.f64 y z) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x))
(fma.f64 y (-.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 y (+.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 -5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) x)
(fma.f64 y (/.f64 (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z)) z) x)
(fma.f64 (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (/.f64 y z) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x))
(fma.f64 y (-.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 y (+.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 -5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) x)
(fma.f64 y (/.f64 (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z)) z) x)
(fma.f64 (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (/.f64 y z) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x))
(fma.f64 y (-.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 y (+.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 -5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) x)
(fma.f64 y (/.f64 (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z)) z) x)
(fma.f64 (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (/.f64 y z) x)
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z)
(/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z))) z)
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(*.f64 (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (/.f64 y z))
(*.f64 y (/.f64 (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z)) z))
(*.f64 (/.f64 5000000000000000/5641895835477563 z) (-.f64 y (/.f64 y z)))
(+.f64 (/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z) x)
(fma.f64 y (-.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 y (+.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 -5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) x)
(fma.f64 y (/.f64 (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z)) z) x)
(fma.f64 (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (/.f64 y z) x)
(+.f64 (/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z) x)
(fma.f64 y (-.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 y (+.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 -5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) x)
(fma.f64 y (/.f64 (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z)) z) x)
(fma.f64 (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (/.f64 y z) x)
(+.f64 (/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z) x)
(fma.f64 y (-.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 y (+.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 -5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) x)
(fma.f64 y (/.f64 (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z)) z) x)
(fma.f64 (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (/.f64 y z) x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z) x)
(fma.f64 y (-.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 y (+.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 -5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) x)
(fma.f64 y (/.f64 (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z)) z) x)
(fma.f64 (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (/.f64 y z) x)
(+.f64 (/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z) x)
(fma.f64 y (-.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 y (+.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 -5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) x)
(fma.f64 y (/.f64 (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z)) z) x)
(fma.f64 (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (/.f64 y z) x)
(+.f64 (/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z) x)
(fma.f64 y (-.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 y (+.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 -5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) x)
(fma.f64 y (/.f64 (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z)) z) x)
(fma.f64 (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (/.f64 y z) x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z) x)
(fma.f64 y (-.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 y (+.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 -5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) x)
(fma.f64 y (/.f64 (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z)) z) x)
(fma.f64 (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (/.f64 y z) x)
(+.f64 (/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z) x)
(fma.f64 y (-.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 y (+.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 -5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) x)
(fma.f64 y (/.f64 (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z)) z) x)
(fma.f64 (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (/.f64 y z) x)
(+.f64 (/.f64 (*.f64 y (-.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 (/.f64 1 z)))) z) x)
(fma.f64 y (-.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 y (+.f64 (/.f64 5000000000000000/5641895835477563 z) (/.f64 -5000000000000000/5641895835477563 (*.f64 z z))) x)
(fma.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) x)
(fma.f64 y (/.f64 (-.f64 5000000000000000/5641895835477563 (/.f64 5000000000000000/5641895835477563 z)) z) x)
(fma.f64 (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (/.f64 y z) x)

localize36.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (/.f64 1 x))
31.8b
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (+.f64 x (/.f64 1 x)))
Compiler

Compiled 40 to 23 computations (42.5% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (+.f64 x (/.f64 1 x)))
1.0ms
x
@inf
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (+.f64 x (/.f64 1 x)))
1.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (+.f64 x (/.f64 1 x)))
0.0ms
x
@0
(+.f64 x (/.f64 1 x))
0.0ms
x
@inf
(+.f64 x (/.f64 1 x))

rewrite193.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
988×prod-diff_binary64
510×log-prod_binary64
432×fma-def_binary64
343×egg-rr
234×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01026
123614
2341914
Stop Event
node limit
Counts
2 → 398
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (+.f64 x (/.f64 1 x)))
(+.f64 x (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 -1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 x (+.f64 x (/.f64 1 x)))) (neg.f64 (/.f64 (pow.f64 x -2) (+.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 1 x)) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 1 x)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 1 x)) (fma.f64 -1 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 x) -1)) (pow.f64 (sqrt.f64 x) -1) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 x -2) (+.f64 x (/.f64 1 x))))) (sqrt.f64 (/.f64 (pow.f64 x -2) (+.f64 x (/.f64 1 x)))) (/.f64 (pow.f64 x -2) (+.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 1 x)) (fma.f64 (neg.f64 (/.f64 (/.f64 1 x) (hypot.f64 (pow.f64 x -1/2) (sqrt.f64 x)))) (/.f64 (/.f64 1 x) (hypot.f64 (pow.f64 x -1/2) (sqrt.f64 x))) (/.f64 (pow.f64 x -2) (+.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 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simplify39.0ms (0.3%)

Algorithm
egg-herbie
Rules
52×fma-neg_binary64
41×fma-def_binary64
17×cancel-sign-sub-inv_binary64
15×sub-neg_binary64
14×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08138
113138
217138
325138
435138
558138
692138
7136138
8199138
9251138
10314138
11324138
12326138
Stop Event
saturated
Counts
422 → 404
Calls
Call 1
Inputs
(/.f64 -1 x)
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(/.f64 1 x)
(+.f64 (/.f64 1 x) x)
(+.f64 (/.f64 1 x) x)
(+.f64 (/.f64 1 x) x)
x
(+.f64 (/.f64 1 x) x)
(+.f64 (/.f64 1 x) x)
(+.f64 (/.f64 1 x) x)
x
(+.f64 (/.f64 1 x) x)
(+.f64 (/.f64 1 x) x)
(+.f64 (/.f64 1 x) x)
Outputs
(/.f64 -1 x)
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
x
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
x
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(/.f64 1 x)
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(-.f64 x (/.f64 -1 x))
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(-.f64 x (/.f64 -1 x))
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(-.f64 x (/.f64 -1 x))
x
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(-.f64 x (/.f64 -1 x))
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(-.f64 x (/.f64 -1 x))
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(-.f64 x (/.f64 -1 x))
x
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(-.f64 x (/.f64 -1 x))
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(-.f64 x (/.f64 -1 x))
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(-.f64 x (/.f64 -1 x))

eval1.0s (9.3%)

Compiler

Compiled 27964 to 18525 computations (33.8% saved)

prune171.0ms (1.5%)

Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New9935998
Fresh134
Picked011
Done268
Total996151011
Error
0b
Counts
1011 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
23.6b
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
12.6b
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)
19.8b
x
62.1b
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
62.5b
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
50.8b
(/.f64 -1 x)
10.9b
(+.f64 x (/.f64 y (-.f64 (*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 y x))))
27.0b
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x)
20.7b
(-.f64 x (/.f64 1 x))
55.3b
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
22.6b
(+.f64 x (*.f64 (/.f64 -1 (*.f64 y x)) y))
41.2b
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (+.f64 x (/.f64 1 x)))
55.4b
(*.f64 5000000000000000/5641895835477563 y)
22.5b
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
55.4b
(/.f64 y 5641895835477563/5000000000000000)
Compiler

Compiled 156 to 114 computations (26.9% saved)

regimes89.0ms (0.8%)

Counts
30 → 1
Calls
Call 1
Inputs
x
x
x
(*.f64 5000000000000000/5641895835477563 y)
(/.f64 y 5641895835477563/5000000000000000)
(/.f64 -1 x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(-.f64 x (/.f64 1 x))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(+.f64 x (*.f64 (/.f64 -1 (*.f64 y x)) y))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x)
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
(+.f64 (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))) x)
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
(+.f64 x (*.f64 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))) y))
(+.f64 x (/.f64 y (-.f64 (*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 y x))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (+.f64 x (/.f64 1 x)))
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
(+.f64 x (*.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y))
(fma.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y x)
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 3) x)))
Outputs
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
Calls

7 calls:

18.0ms
z
16.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
16.0ms
y
15.0ms
x
4.0ms
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
0.1b1(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
0.1b1(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
0.1b1(exp.f64 z)
Compiler

Compiled 304 to 183 computations (39.8% saved)

regimes98.0ms (0.9%)

Counts
26 → 2
Calls
Call 1
Inputs
x
x
x
(*.f64 5000000000000000/5641895835477563 y)
(/.f64 y 5641895835477563/5000000000000000)
(/.f64 -1 x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(-.f64 x (/.f64 1 x))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(+.f64 x (*.f64 (/.f64 -1 (*.f64 y x)) y))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x)
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
(+.f64 (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))) x)
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
(+.f64 x (*.f64 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))) y))
(+.f64 x (/.f64 y (-.f64 (*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 y x))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (+.f64 x (/.f64 1 x)))
Outputs
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
Calls

6 calls:

27.0ms
z
24.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
15.0ms
y
12.0ms
x
7.0ms
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
Results
ErrorSegmentsBranch
2.3b1x
2.3b1y
0.6b2z
1.0b2(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
0.6b2(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
0.6b2(exp.f64 z)
Compiler

Compiled 245 to 151 computations (38.4% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.3117202043506294
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes117.0ms (1.1%)

Counts
24 → 3
Calls
Call 1
Inputs
x
x
x
(*.f64 5000000000000000/5641895835477563 y)
(/.f64 y 5641895835477563/5000000000000000)
(/.f64 -1 x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(-.f64 x (/.f64 1 x))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(+.f64 x (*.f64 (/.f64 -1 (*.f64 y x)) y))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x)
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
(+.f64 (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))) x)
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
(+.f64 x (*.f64 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))) y))
(+.f64 x (/.f64 y (-.f64 (*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 y x))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
Outputs
(-.f64 x (/.f64 1 x))
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
Calls

4 calls:

36.0ms
z
34.0ms
y
32.0ms
x
7.0ms
(exp.f64 z)
Results
ErrorSegmentsBranch
8.6b3x
9.8b3y
0.1b3z
0.1b3(exp.f64 z)
Compiler

Compiled 198 to 121 computations (38.9% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.000000194631974
1.0018461589178955
0.0ms
0.0
0.3117202043506294
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes103.0ms (0.9%)

Counts
23 → 3
Calls
Call 1
Inputs
x
x
x
(*.f64 5000000000000000/5641895835477563 y)
(/.f64 y 5641895835477563/5000000000000000)
(/.f64 -1 x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(-.f64 x (/.f64 1 x))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(+.f64 x (*.f64 (/.f64 -1 (*.f64 y x)) y))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x)
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
(+.f64 (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))) x)
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
(+.f64 x (*.f64 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))) y))
(+.f64 x (/.f64 y (-.f64 (*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 y x))))
Outputs
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
x
Calls

3 calls:

39.0ms
z
33.0ms
y
24.0ms
x
Results
ErrorSegmentsBranch
9.8b2x
9.8b3y
0.3b3z
Compiler

Compiled 185 to 112 computations (39.5% saved)

bsearch52.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
28.0ms
3.791026289084695
2826400.830189221
23.0ms
-2.863879454417745e+23
-6144.301705172916
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes109.0ms (1%)

Counts
20 → 3
Calls
Call 1
Inputs
x
x
x
(*.f64 5000000000000000/5641895835477563 y)
(/.f64 y 5641895835477563/5000000000000000)
(/.f64 -1 x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(-.f64 x (/.f64 1 x))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(+.f64 x (*.f64 (/.f64 -1 (*.f64 y x)) y))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x)
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
(+.f64 (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))) x)
Outputs
(-.f64 x (/.f64 1 x))
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)
x
Calls

3 calls:

46.0ms
y
31.0ms
z
28.0ms
x
Results
ErrorSegmentsBranch
11.2b3x
9.9b5y
0.3b3z
Compiler

Compiled 132 to 79 computations (40.2% saved)

bsearch46.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
25.0ms
3.791026289084695
2826400.830189221
22.0ms
-2.863879454417745e+23
-6144.301705172916
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes143.0ms (1.3%)

Counts
17 → 5
Calls
Call 1
Inputs
x
x
x
(*.f64 5000000000000000/5641895835477563 y)
(/.f64 y 5641895835477563/5000000000000000)
(/.f64 -1 x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(-.f64 x (/.f64 1 x))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(+.f64 x (*.f64 (/.f64 -1 (*.f64 y x)) y))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x)
Outputs
(-.f64 x (/.f64 1 x))
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x)
(-.f64 x (/.f64 1 x))
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x)
x
Calls

3 calls:

57.0ms
x
41.0ms
z
41.0ms
y
Results
ErrorSegmentsBranch
11.6b7x
10.6b5y
7.9b5z
Compiler

Compiled 103 to 63 computations (38.8% saved)

bsearch89.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
23.0ms
1.0534743273697433e-42
4.4908880880750226e-21
22.0ms
-1.674100231199473e-274
-3.381769957580726e-276
22.0ms
-1.7822370848677974e-236
-7.454982098513183e-246
22.0ms
-3.070429755465899e-115
-7.221890330869468e-117
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes223.0ms (2%)

Counts
9 → 8
Calls
Call 1
Inputs
x
x
x
(*.f64 5000000000000000/5641895835477563 y)
(/.f64 y 5641895835477563/5000000000000000)
(/.f64 -1 x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
Outputs
x
(/.f64 -1 x)
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x)
(/.f64 -1 x)
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x)
x
(/.f64 -1 x)
x
Calls

3 calls:

161.0ms
x
36.0ms
y
23.0ms
z
Results
ErrorSegmentsBranch
12.5b8x
15.0b7y
14.5b4z
Compiler

Compiled 42 to 27 computations (35.7% saved)

bsearch162.0ms (1.5%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
2.31349907827982e-93
1.97396631366171e-91
22.0ms
6.292965564984744e-119
1.2312256021272943e-107
22.0ms
1.4499944024964338e-276
1.867222212366468e-275
25.0ms
-1.4463287639317312e-148
-2.4590589747439683e-152
23.0ms
-3.546168882144408e-112
-1.84256464286753e-116
25.0ms
-4.621587110657386e-28
-7.944531092927367e-33
23.0ms
-1.7142419072074116e-8
-8.800130726385272e-11
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes73.0ms (0.7%)

Counts
7 → 9
Calls
Call 1
Inputs
x
x
x
(*.f64 5000000000000000/5641895835477563 y)
(/.f64 y 5641895835477563/5000000000000000)
(/.f64 -1 x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
Outputs
x
(/.f64 -1 x)
x
(/.f64 -1 x)
x
(/.f64 y 5641895835477563/5000000000000000)
x
(/.f64 -1 x)
x
Calls

3 calls:

43.0ms
x
13.0ms
z
13.0ms
y
Results
ErrorSegmentsBranch
12.7b9x
18.8b3y
17.6b3z
Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch181.0ms (1.6%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
2.31349907827982e-93
1.97396631366171e-91
23.0ms
6.292965564984744e-119
1.2312256021272943e-107
22.0ms
1.4499944024964338e-276
1.867222212366468e-275
25.0ms
-1.6647697559149374e-190
-2.356068825572563e-195
22.0ms
-1.4463287639317312e-148
-2.4590589747439683e-152
22.0ms
-3.546168882144408e-112
-1.84256464286753e-116
23.0ms
-4.621587110657386e-28
-7.944531092927367e-33
22.0ms
-1.7142419072074116e-8
-8.800130726385272e-11
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes24.0ms (0.2%)

Counts
5 → 3
Calls
Call 1
Inputs
x
x
x
(*.f64 5000000000000000/5641895835477563 y)
(/.f64 y 5641895835477563/5000000000000000)
Outputs
x
(/.f64 y 5641895835477563/5000000000000000)
x
Calls

3 calls:

13.0ms
x
5.0ms
y
4.0ms
z
Results
ErrorSegmentsBranch
17.4b3x
19.8b1y
19.8b1z
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch50.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
27.0ms
1.4499944024964338e-276
1.867222212366468e-275
22.0ms
-1.6647697559149374e-190
-2.356068825572563e-195
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes22.0ms (0.2%)

Counts
4 → 3
Calls
Call 1
Inputs
x
x
x
(*.f64 5000000000000000/5641895835477563 y)
Outputs
x
(*.f64 5000000000000000/5641895835477563 y)
x
Calls

3 calls:

13.0ms
x
4.0ms
y
4.0ms
z
Results
ErrorSegmentsBranch
17.4b3x
19.8b1y
19.8b1z
Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch48.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
1.4499944024964338e-276
1.867222212366468e-275
26.0ms
-1.6647697559149374e-190
-2.356068825572563e-195
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes18.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

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

3 calls:

9.0ms
z
4.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
19.8b1x
19.8b1y
19.8b1z
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify27.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
098399
1126399
2145399
3153399
4157399
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
(if (<=.f64 (exp.f64 z) 0) (-.f64 x (/.f64 1 x)) (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) 0) (-.f64 x (/.f64 1 x)) (if (<=.f64 (exp.f64 z) 2254051613498933/2251799813685248) (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)))
(if (<=.f64 z -286387945441774503198720) (-.f64 x (/.f64 1 x)) (if (<=.f64 z 8536632291436793/2251799813685248) (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) x))
(if (<=.f64 z -286387945441774503198720) (-.f64 x (/.f64 1 x)) (if (<=.f64 z 8536632291436793/2251799813685248) (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) x))
(if (<=.f64 z -3405315012362833/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (-.f64 x (/.f64 1 x)) (if (<=.f64 z -8166610661355481/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) (if (<=.f64 z -6525852975838481/38981256045599996321413529551500753243504907430380030107471625828851794763065704409862460263528041036901219664925634672733836679460812376186311949185250613678125110799825892119483158621960214593411198373916873515494742391701579499782985454461875862451310955212417110188327314359967656443904) (-.f64 x (/.f64 1 x)) (if (<=.f64 z 1653191382129483/1569275433846670190958947355801916604025588861116008628224) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) x))))
(if (<=.f64 x -5180978256721163/302231454903657293676544) x (if (<=.f64 x -2576620914189593/5575186299632655785383929568162090376495104) (/.f64 -1 x) (if (<=.f64 x -60011932310523/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) (if (<=.f64 x -8328842787196257/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (/.f64 -1 x) (if (<=.f64 x 3617446596377617/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) (if (<=.f64 x 2858731914556059/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416) x (if (<=.f64 x 5433351100548171/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (/.f64 -1 x) x)))))))
(if (<=.f64 x -5180978256721163/302231454903657293676544) x (if (<=.f64 x -2576620914189593/5575186299632655785383929568162090376495104) (/.f64 -1 x) (if (<=.f64 x -60011932310523/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) x (if (<=.f64 x -8328842787196257/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (/.f64 -1 x) (if (<=.f64 x -1670249015979783/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352) x (if (<=.f64 x 3617446596377617/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (/.f64 y 5641895835477563/5000000000000000) (if (<=.f64 x 2858731914556059/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416) x (if (<=.f64 x 5433351100548171/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (/.f64 -1 x) x))))))))
(if (<=.f64 x -1670249015979783/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352) x (if (<=.f64 x 3617446596377617/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (/.f64 y 5641895835477563/5000000000000000) x))
(if (<=.f64 x -1670249015979783/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352) x (if (<=.f64 x 3617446596377617/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (*.f64 5000000000000000/5641895835477563 y) x))
x
Outputs
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
(if (<=.f64 (exp.f64 z) 0) (-.f64 x (/.f64 1 x)) (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) 0) (-.f64 x (/.f64 1 x)) (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) 0) (-.f64 x (/.f64 1 x)) (if (<=.f64 (exp.f64 z) 2254051613498933/2251799813685248) (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)))
(if (<=.f64 (exp.f64 z) 0) (-.f64 x (/.f64 1 x)) (if (<=.f64 (exp.f64 z) 2254051613498933/2251799813685248) (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 x y)))) (+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 2254051613498933/2251799813685248) (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 x y)))) (+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(if (<=.f64 z -286387945441774503198720) (-.f64 x (/.f64 1 x)) (if (<=.f64 z 8536632291436793/2251799813685248) (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) x))
(if (<=.f64 z -286387945441774503198720) (-.f64 x (/.f64 1 x)) (if (<=.f64 z 8536632291436793/2251799813685248) (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000)) (*.f64 x y)))) x))
(if (<=.f64 z -286387945441774503198720) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 8536632291436793/2251799813685248) (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000)) (*.f64 x y)))) x))
(if (<=.f64 z -286387945441774503198720) (-.f64 x (/.f64 1 x)) (if (<=.f64 z 8536632291436793/2251799813685248) (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) x))
(if (<=.f64 z -286387945441774503198720) (-.f64 x (/.f64 1 x)) (if (<=.f64 z 8536632291436793/2251799813685248) (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 x y)))) x))
(if (<=.f64 z -286387945441774503198720) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 8536632291436793/2251799813685248) (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 x y)))) x))
(if (<=.f64 z -3405315012362833/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (-.f64 x (/.f64 1 x)) (if (<=.f64 z -8166610661355481/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) (if (<=.f64 z -6525852975838481/38981256045599996321413529551500753243504907430380030107471625828851794763065704409862460263528041036901219664925634672733836679460812376186311949185250613678125110799825892119483158621960214593411198373916873515494742391701579499782985454461875862451310955212417110188327314359967656443904) (-.f64 x (/.f64 1 x)) (if (<=.f64 z 1653191382129483/1569275433846670190958947355801916604025588861116008628224) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) x))))
(if (<=.f64 z -3405315012362833/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (-.f64 x (/.f64 1 x)) (if (<=.f64 z -8166610661355481/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z -6525852975838481/38981256045599996321413529551500753243504907430380030107471625828851794763065704409862460263528041036901219664925634672733836679460812376186311949185250613678125110799825892119483158621960214593411198373916873515494742391701579499782985454461875862451310955212417110188327314359967656443904) (-.f64 x (/.f64 1 x)) (if (<=.f64 z 1653191382129483/1569275433846670190958947355801916604025588861116008628224) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x))))
(if (<=.f64 z -3405315012362833/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -8166610661355481/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z -6525852975838481/38981256045599996321413529551500753243504907430380030107471625828851794763065704409862460263528041036901219664925634672733836679460812376186311949185250613678125110799825892119483158621960214593411198373916873515494742391701579499782985454461875862451310955212417110188327314359967656443904) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 1653191382129483/1569275433846670190958947355801916604025588861116008628224) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x))))
(if (<=.f64 x -5180978256721163/302231454903657293676544) x (if (<=.f64 x -2576620914189593/5575186299632655785383929568162090376495104) (/.f64 -1 x) (if (<=.f64 x -60011932310523/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) (if (<=.f64 x -8328842787196257/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (/.f64 -1 x) (if (<=.f64 x 3617446596377617/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) (if (<=.f64 x 2858731914556059/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416) x (if (<=.f64 x 5433351100548171/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (/.f64 -1 x) x)))))))
(if (<=.f64 x -5180978256721163/302231454903657293676544) x (if (<=.f64 x -2576620914189593/5575186299632655785383929568162090376495104) (/.f64 -1 x) (if (<=.f64 x -60011932310523/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 x -8328842787196257/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (/.f64 -1 x) (if (<=.f64 x 3617446596377617/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 x 2858731914556059/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416) x (if (<=.f64 x 5433351100548171/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (/.f64 -1 x) x)))))))
(if (<=.f64 x -5180978256721163/302231454903657293676544) x (if (<=.f64 x -2576620914189593/5575186299632655785383929568162090376495104) (/.f64 -1 x) (if (<=.f64 x -60011932310523/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) x (if (<=.f64 x -8328842787196257/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (/.f64 -1 x) (if (<=.f64 x -1670249015979783/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352) x (if (<=.f64 x 3617446596377617/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (/.f64 y 5641895835477563/5000000000000000) (if (<=.f64 x 2858731914556059/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416) x (if (<=.f64 x 5433351100548171/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (/.f64 -1 x) x))))))))
(if (<=.f64 x -1670249015979783/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352) x (if (<=.f64 x 3617446596377617/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (/.f64 y 5641895835477563/5000000000000000) x))
(if (<=.f64 x -1670249015979783/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352) x (if (<=.f64 x 3617446596377617/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (*.f64 5000000000000000/5641895835477563 y) x))
(if (<=.f64 x -1670249015979783/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352) x (if (<=.f64 x 3617446596377617/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (*.f64 y 5000000000000000/5641895835477563) x))
x
Compiler

Compiled 311 to 208 computations (33.1% saved)

soundness447.0ms (4%)

Algorithm
egg-herbie
Rules
1229×fma-def_binary64
1055×div-sub_binary64
902×fma-neg_binary64
409×associate-/l*_binary64
380×associate-/r*_binary64
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
01118
12018
23518
35218
48118
512718
620518
729218
839618
954016
1073716
11120516
12229116
13455516
14584416
15668816
16685616
17688416
18725416
Stop Event
node limit
Compiler

Compiled 837 to 620 computations (25.9% saved)

end135.0ms (1.2%)

Compiler

Compiled 281 to 173 computations (38.4% saved)

Profiling

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