Details

Time bar (total: 11.9s)

analyze461.0ms (3.9%)

Algorithm
1×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)

sample1.3s (11.2%)

Results
1.3s8256×body256valid

preprocess104.0ms (0.9%)

Algorithm
2×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
1×saturated
1×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)

simplify109.0ms (0.9%)

Algorithm
1×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
1×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)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶4.3b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
▶0.0b
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
Compiler

Compiled 29 to 20 computations (31% saved)

localize21.0ms (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)

series23.0ms (0.2%)

Counts
4 → 108
Calls

30 calls:

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

rewrite121.0ms (1%)

Algorithm
1×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
1×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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simplify141.0ms (1.2%)

Algorithm
1×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
1×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 (*.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)
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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 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)))))

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
✓0.0b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
✓1.0b
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))
✓10.2b
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))
Compiler

Compiled 46 to 20 computations (56.5% saved)

series29.0ms (0.2%)

Counts
4 → 112
Calls

30 calls:

TimeVariablePointExpression
3.0ms
z
@-inf
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))
2.0ms
z
@0
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))
2.0ms
z
@inf
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))
2.0ms
y
@inf
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
1.0ms
z
@0
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))

rewrite177.0ms (1.5%)

Algorithm
1×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
1×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 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
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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simplify145.0ms (1.2%)

Algorithm
1×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
1×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)))
(*.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)
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)))))
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))
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(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)))))
5641895835477563/5000000000000000
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))
(fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)
(+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(fma.f64 5641895835477563/10000000000000000 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000)))
(fma.f64 (*.f64 z z) 5641895835477563/10000000000000000 (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000))
(fma.f64 z 5641895835477563/5000000000000000 (fma.f64 z (*.f64 z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000))
(+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 5641895835477563/30000000000000000 (pow.f64 z 3)))))
(fma.f64 5641895835477563/10000000000000000 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (*.f64 5641895835477563/30000000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 5641895835477563/30000000000000000 (pow.f64 z 3) (*.f64 z 5641895835477563/5000000000000000)) (fma.f64 (*.f64 z z) 5641895835477563/10000000000000000 5641895835477563/5000000000000000))
(fma.f64 z (*.f64 z 5641895835477563/10000000000000000) (fma.f64 z 5641895835477563/5000000000000000 (fma.f64 5641895835477563/30000000000000000 (pow.f64 z 3) 5641895835477563/5000000000000000)))

eval341.0ms (2.9%)

Compiler

Compiled 12751 to 6534 computations (48.8% saved)

prune96.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New54311554
Fresh000
Picked101
Done101
Total54511556
Error
0b
Counts
556 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
▶11.9b
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
21.9b
(+.f64 x (/.f64 -1 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z))))
11.9b
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)
▶23.0b
(-.f64 x (/.f64 1 x))
39.6b
(/.f64 (fma.f64 -1 (pow.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x) -3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x) -2) (-.f64 (*.f64 x x) (/.f64 x (neg.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))))))
18.6b
x
▶11.2b
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
26.1b
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
▶4.6b
(fma.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y x)
▶22.0b
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
11.3b
(+.f64 x (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
Compiler

Compiled 326 to 227 computations (30.4% saved)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.7b
(/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))
✓1.0b
(fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))
✓3.1b
(fma.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y x)
Compiler

Compiled 47 to 19 computations (59.6% saved)

series17.0ms (0.1%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
(fma.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y x)
2.0ms
z
@0
(fma.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y x)
1.0ms
z
@inf
(fma.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y x)
1.0ms
z
@-inf
(fma.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y x)
1.0ms
x
@0
(fma.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y x)

rewrite117.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
482×log-prod_binary64
388×exp-prod_binary64
298×prod-diff_binary64
292×pow-prod-down_binary64
270×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01246
123839
2282839
Stop Event
1×node limit
Counts
3 → 256
Calls
Call 1
Inputs
(fma.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y x)
(fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))
(/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))
Outputs
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x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))) y (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 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simplify168.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
680×associate-/l*_binary64
651×fma-def_binary64
609×associate-/r*_binary64
507×associate-*r*_binary64
486×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01642783
14922691
216812653
379382651
Stop Event
1×node limit
Counts
364 → 324
Calls
Call 1
Inputs
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))) x)
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(-.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 4) (pow.f64 x 4)))))) (/.f64 1 (*.f64 y x)))
(/.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)))
(-.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (pow.f64 y 2) (pow.f64 x 2))))) (/.f64 1 (*.f64 y x)))
(-.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 4) (pow.f64 x 4)))))) (/.f64 1 (*.f64 y x)))
Outputs
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))) x)
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x)))))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y 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 y (+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x)))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) 2)) x))
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (fma.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) z) x))
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(+.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 (-.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 y (pow.f64 z 2))) x)))
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(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
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(fma.f64 (/.f64 (exp.f64 z) (*.f64 y y)) (/.f64 -5641895835477563/5000000000000000 (*.f64 x x)) (/.f64 -1 (*.f64 y x)))
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localize6.0ms (0%)

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))

rewrite63.0ms (0.5%)

Algorithm
1×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
1×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))))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize15.0ms (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))
✓0.1b
(/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))
0.3b
(/.f64 -5641895835477563/5000000000000000 y)
Compiler

Compiled 31 to 21 computations (32.3% saved)

series9.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite91.0ms (0.8%)

Algorithm
1×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
1×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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2)) (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (neg.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) -1/2) (pow.f64 (neg.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y -3) (pow.f64 x 3))) (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 (*.f64 x x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2)))) (-.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) 2)) (cbrt.f64 (log.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (sqrt.f64 (log.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (neg.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 -5641895835477563/5000000000000000 y))) (/.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2)) (-.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 2) (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) (sqrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y -3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2))) (/.f64 1 (-.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x) (*.f64 x x)) (fma.f64 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simplify103.0ms (0.9%)

Algorithm
1×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
1×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))))
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(+.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))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (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 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (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 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (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)))))))
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 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))))
(-.f64 (-.f64 x (/.f64 (/.f64 (/.f64 5641895835477563/5000000000000000 x) x) y)) (/.f64 1 x))
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(+.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))))
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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 -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)))
(+.f64 (+.f64 (/.f64 -1 x) (-.f64 x (/.f64 (/.f64 5641895835477563/5000000000000000 x) (*.f64 y x)))) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) x))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)))))
(fma.f64 x (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y) 1) (*.f64 5000000000000000/5641895835477563 y))
(fma.f64 5000000000000000/5641895835477563 y (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) x))
(fma.f64 (*.f64 y y) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 x) (fma.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)))
(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))
(+.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 -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)))
(+.f64 (+.f64 (/.f64 -1 x) (-.f64 x (/.f64 (/.f64 5641895835477563/5000000000000000 x) (*.f64 y x)))) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (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 (/.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 x (-.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 x (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.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))))
(-.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 -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)))
(+.f64 (+.f64 (/.f64 -1 x) (-.f64 x (/.f64 (/.f64 5641895835477563/5000000000000000 x) (*.f64 y x)))) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (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 (/.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 x (-.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 x (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.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))))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))
✓0.0b
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
✓0.2b
(*.f64 5641895835477563/5000000000000000 z)
✓9.7b
(/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))
Compiler

Compiled 51 to 29 computations (43.1% saved)

series12.0ms (0.1%)

Counts
4 → 66
Calls

24 calls:

TimeVariablePointExpression
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
y
@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)))

rewrite108.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
599×log-prod_binary64
407×fma-def_binary64
379×pow-prod-down_binary64
314×pow2_binary64
216×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01040
123034
2338634
Stop Event
1×node limit
Counts
4 → 238
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 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))
Outputs
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(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z 1) 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z 1) 5641895835477563/5000000000000000 (*.f64 (*.f64 y (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (+.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 5641895835477563/5000000000000000 (sqrt.f64 z)) (sqrt.f64 z) (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 5641895835477563/5000000000000000 (sqrt.f64 z)) (sqrt.f64 z) (+.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))))))

simplify78.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
761×associate-/r*_binary64
595×fma-def_binary64
590×associate-*r*_binary64
545×associate-*l*_binary64
382×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01401856
14651692
219021622
Stop Event
1×node limit
Counts
304 → 290
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 5641895835477563/5000000000000000 (*.f64 y x))
(*.f64 5641895835477563/5000000000000000 z)
(*.f64 5641895835477563/5000000000000000 z)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y 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)))
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(-.f64 (-.f64 (/.f64 -1 x) (/.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z y) (/.f64 5641895835477563/5000000000000000 y)) (*.f64 x x))) (/.f64 (*.f64 (+.f64 z 1) (/.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) y)) (*.f64 y (pow.f64 x 3))))
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(-.f64 (fma.f64 -1 (fma.f64 (/.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z y) (/.f64 5641895835477563/5000000000000000 y)) (*.f64 y y)) (/.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 2) (pow.f64 x 4)) (/.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z y) (/.f64 5641895835477563/5000000000000000 y)) (*.f64 x x))) (/.f64 -1 x)) (/.f64 (*.f64 (+.f64 z 1) (/.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) y)) (*.f64 y (pow.f64 x 3))))
5641895835477563/5000000000000000
(*.f64 5641895835477563/5000000000000000 z)
(*.f64 5641895835477563/5000000000000000 z)
(-.f64 5641895835477563/5000000000000000 (*.f64 y x))
(fma.f64 x (neg.f64 y) 5641895835477563/5000000000000000)
(*.f64 5641895835477563/5000000000000000 z)
(*.f64 5641895835477563/5000000000000000 z)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x))))
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x))))
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x))))
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x))))
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x))))
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x))))
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x))))
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x))))
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x))))
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x))))
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x))))
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x))))
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
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(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))
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(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
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(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x))))
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x))))
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x))))
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 27 to 11 computations (59.3% saved)

series10.0ms (0.1%)

Counts
3 → 18
Calls

21 calls:

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

rewrite98.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
841×prod-diff_binary64
483×log-prod_binary64
282×pow-prod-down_binary64
260×pow2_binary64
246×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
119425
2264925
Stop Event
1×node limit
Counts
3 → 124
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 y (exp.f64 z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
Outputs
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((x fma.f64 (/.f64 y (exp.f64 z)) 5000000000000000/5641895835477563 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (exp.f64 z))) 2) (*.f64 (cbrt.f64 (/.f64 y (exp.f64 z))) 5000000000000000/5641895835477563) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) 2) (cbrt.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 y (exp.f64 z))) (*.f64 (sqrt.f64 (/.f64 y (exp.f64 z))) 5000000000000000/5641895835477563) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) (sqrt.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 (neg.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 5000000000000000/5641895835477563 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 y (cbrt.f64 (exp.f64 z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 5000000000000000/5641895835477563 (sqrt.f64 (exp.f64 z))) (/.f64 y (sqrt.f64 (exp.f64 z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 5000000000000000/5641895835477563 (pow.f64 (cbrt.f64 (/.f64 y (exp.f64 z))) 2)) (cbrt.f64 (/.f64 y (exp.f64 z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 5000000000000000/5641895835477563 (sqrt.f64 (/.f64 y (exp.f64 z)))) (sqrt.f64 (/.f64 y (exp.f64 z))) x)))))

simplify56.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
559×fma-def_binary64
491×associate--r+_binary64
459×associate--l+_binary64
459×distribute-rgt-out_binary64
299×unsub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054284
1175261
2636221
33551212
Stop Event
1×node limit
Counts
142 → 149
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (*.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 y) (*.f64 -1 y))) (*.f64 1/6 y))) (pow.f64 z 3))))))
y
(+.f64 (*.f64 -1 (*.f64 y z)) y)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 y (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y))))))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 y) (*.f64 -1 y))) (*.f64 1/6 y))) (pow.f64 z 3))) (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))))))
x
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 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 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)))
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 y) (*.f64 -1 y))) (*.f64 1/6 y))) (pow.f64 z 3))) x))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 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 y (*.f64 z (*.f64 y -5000000000000000/5641895835477563)))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)))
(*.f64 y (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563))
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 (*.f64 z z) (*.f64 y -1/2)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 (*.f64 (*.f64 y -1/2) z) z) (fma.f64 5000000000000000/5641895835477563 y (*.f64 z (*.f64 y -5000000000000000/5641895835477563))))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 y (+.f64 (*.f64 -5000000000000000/5641895835477563 z) (*.f64 (*.f64 z z) 2500000000000000/5641895835477563))))
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (*.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 y) (*.f64 -1 y))) (*.f64 1/6 y))) (pow.f64 z 3))))))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 (*.f64 z z) (*.f64 y -1/2)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 y z) (*.f64 (fma.f64 -1/2 y (fma.f64 -1 (*.f64 y -1/2) (*.f64 y 1/6))) (pow.f64 z 3))))))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 (*.f64 (*.f64 y -1/2) z) z) (fma.f64 -5000000000000000/5641895835477563 (fma.f64 y z (*.f64 (fma.f64 y -1/2 (fma.f64 y 1/6 (*.f64 y 1/2))) (pow.f64 z 3))) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 -5000000000000000/5641895835477563 (fma.f64 (fma.f64 y 1/6 0) (pow.f64 z 3) (*.f64 y z)) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563))))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (*.f64 z (-.f64 y (*.f64 z (+.f64 (*.f64 y 1/2) (*.f64 z (*.f64 y -1/6))))))))
y
(+.f64 (*.f64 -1 (*.f64 y z)) y)
(fma.f64 -1 (*.f64 y z) y)
(-.f64 y (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 y (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y))))))
(+.f64 (fma.f64 -1 (*.f64 y z) y) (neg.f64 (*.f64 (*.f64 z z) (*.f64 y -1/2))))
(+.f64 (-.f64 y (*.f64 y z)) (*.f64 z (*.f64 z (*.f64 y 1/2))))
(-.f64 (fma.f64 y (*.f64 z (*.f64 z 1/2)) y) (*.f64 y z))
(*.f64 y (-.f64 (+.f64 (*.f64 z (*.f64 z 1/2)) 1) z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 y) (*.f64 -1 y))) (*.f64 1/6 y))) (pow.f64 z 3))) (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))))))
(+.f64 (fma.f64 -1 (*.f64 y z) y) (*.f64 -1 (+.f64 (*.f64 (fma.f64 -1/2 y (fma.f64 -1 (*.f64 y -1/2) (*.f64 y 1/6))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 y -1/2)))))
(-.f64 (fma.f64 -1 (fma.f64 (fma.f64 y -1/2 (fma.f64 y 1/6 (*.f64 y 1/2))) (pow.f64 z 3) (*.f64 (*.f64 (*.f64 y -1/2) z) z)) y) (*.f64 y z))
(-.f64 (-.f64 y (*.f64 y z)) (*.f64 (*.f64 z z) (+.f64 (*.f64 y -1/2) (*.f64 z (fma.f64 y 1/6 0)))))
(-.f64 y (*.f64 z (-.f64 y (*.f64 z (+.f64 (*.f64 y 1/2) (*.f64 z (*.f64 y -1/6)))))))
x
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y)
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y)
(+.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 (*.f64 y z) (fma.f64 5000000000000000/5641895835477563 y x))
(fma.f64 5000000000000000/5641895835477563 y (fma.f64 y (*.f64 -5000000000000000/5641895835477563 z) x))
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 (*.f64 z z) (*.f64 y -1/2)) (fma.f64 5000000000000000/5641895835477563 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) x)))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 (*.f64 (*.f64 y -1/2) z) z) (fma.f64 5000000000000000/5641895835477563 y (fma.f64 (*.f64 y -5000000000000000/5641895835477563) z x)))
(fma.f64 5000000000000000/5641895835477563 y (fma.f64 (*.f64 z z) (*.f64 y 2500000000000000/5641895835477563) (fma.f64 y (*.f64 -5000000000000000/5641895835477563 z) x)))
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 y) (*.f64 -1 y))) (*.f64 1/6 y))) (pow.f64 z 3))) x))))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 (*.f64 z z) (*.f64 y -1/2)) (fma.f64 5000000000000000/5641895835477563 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (fma.f64 -5000000000000000/5641895835477563 (*.f64 (fma.f64 -1/2 y (fma.f64 -1 (*.f64 y -1/2) (*.f64 y 1/6))) (pow.f64 z 3)) x))))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 (*.f64 (*.f64 y -1/2) z) z) (fma.f64 5000000000000000/5641895835477563 y (fma.f64 -5000000000000000/5641895835477563 (fma.f64 y z (*.f64 (fma.f64 y -1/2 (fma.f64 y 1/6 (*.f64 y 1/2))) (pow.f64 z 3))) x)))
(fma.f64 5000000000000000/5641895835477563 y (fma.f64 (*.f64 z z) (*.f64 y 2500000000000000/5641895835477563) (fma.f64 -5000000000000000/5641895835477563 (fma.f64 (fma.f64 y 1/6 0) (pow.f64 z 3) (*.f64 y z)) x)))
(fma.f64 (*.f64 z z) (*.f64 y 2500000000000000/5641895835477563) (fma.f64 -5000000000000000/5641895835477563 (*.f64 y (+.f64 (*.f64 (pow.f64 z 3) 1/6) z)) (fma.f64 5000000000000000/5641895835477563 y x)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y)
x
x

eval516.0ms (4.3%)

Compiler

Compiled 21379 to 12021 computations (43.8% saved)

prune314.0ms (2.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New100891017
Fresh426
Picked101
Done314
Total1016121028
Error
0b
Counts
1028 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
18.6b
x
26.4b
(fma.f64 (/.f64 -1 (*.f64 y x)) y x)
✓23.0b
(-.f64 x (/.f64 1 x))
▶53.7b
(/.f64 -1 x)
▶11.9b
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)
▶53.8b
(/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563))
25.9b
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
▶25.9b
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
49.8b
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (fma.f64 x x (+.f64 1 (pow.f64 x -2))))
36.9b
(+.f64 (*.f64 5000000000000000/5641895835477563 (-.f64 y (*.f64 z (-.f64 y (*.f64 z (+.f64 (*.f64 y 1/2) (*.f64 z (*.f64 y -1/6)))))))) x)
▶35.4b
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (-.f64 (+.f64 (*.f64 z (*.f64 z 1/2)) 1) z))) x)
31.2b
(+.f64 (*.f64 5000000000000000/5641895835477563 (-.f64 y (*.f64 y z))) x)
Compiler

Compiled 270 to 193 computations (28.5% saved)

localize24.0ms (0.2%)

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))
✓9.8b
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
Compiler

Compiled 30 to 14 computations (53.3% saved)

series13.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite128.0ms (1.1%)

Algorithm
1×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
1×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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simplify157.0ms (1.3%)

Algorithm
1×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
1×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))
(*.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))
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(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))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (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 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 x (pow.f64 y 3))) (fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)))))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (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 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (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)))))))
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)))))
(+.f64 x (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.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 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))))
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)))))
(+.f64 x (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.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 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))))

localize8.0ms (0.1%)

Compiler

Compiled 8 to 6 computations (25% saved)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 22 to 16 computations (27.3% saved)

series7.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

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

rewrite107.0ms (0.9%)

Algorithm
1×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
1×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)))))

simplify23.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
2×fma-def_binary64
1×+-commutative_binary64
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06153
19153
210153
Stop Event
1×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)

localize57.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (+.f64 (*.f64 z (*.f64 z 1/2)) 1) z)
✓0.0b
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (-.f64 (+.f64 (*.f64 z (*.f64 z 1/2)) 1) z))) x)
✓0.3b
(*.f64 5000000000000000/5641895835477563 (*.f64 y (-.f64 (+.f64 (*.f64 z (*.f64 z 1/2)) 1) z)))
✓3.6b
(*.f64 y (-.f64 (+.f64 (*.f64 z (*.f64 z 1/2)) 1) z))
Compiler

Compiled 72 to 48 computations (33.3% saved)

series30.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
10.0ms
y
@0
(*.f64 5000000000000000/5641895835477563 (*.f64 y (-.f64 (+.f64 (*.f64 z (*.f64 z 1/2)) 1) z)))
2.0ms
y
@0
(*.f64 y (-.f64 (+.f64 (*.f64 z (*.f64 z 1/2)) 1) z))
2.0ms
z
@inf
(*.f64 5000000000000000/5641895835477563 (*.f64 y (-.f64 (+.f64 (*.f64 z (*.f64 z 1/2)) 1) z)))
1.0ms
x
@0
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (-.f64 (+.f64 (*.f64 z (*.f64 z 1/2)) 1) z))) x)
1.0ms
y
@inf
(*.f64 y (-.f64 (+.f64 (*.f64 z (*.f64 z 1/2)) 1) z))

rewrite152.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
748×log-prod_binary64
711×fma-def_binary64
380×fma-neg_binary64
272×log1p-udef_binary64
271×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01460
131160
2425060
Stop Event
1×node limit
Counts
4 → 257
Calls
Call 1
Inputs
(*.f64 y (-.f64 (+.f64 (*.f64 z (*.f64 z 1/2)) 1) z))
(*.f64 5000000000000000/5641895835477563 (*.f64 y (-.f64 (+.f64 (*.f64 z (*.f64 z 1/2)) 1) z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (-.f64 (+.f64 (*.f64 z (*.f64 z 1/2)) 1) z))) x)
(-.f64 (+.f64 (*.f64 z (*.f64 z 1/2)) 1) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (*.f64 z z)) y) (*.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 1/2 (*.f64 z z) 1) y) (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 1/2 (*.f64 z z))) (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (fma.f64 1/2 (*.f64 z z) 1)) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z))) (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 z z) 1) 3) (pow.f64 z 3)) y) (fma.f64 z (fma.f64 1/2 (*.f64 z z) (+.f64 1 z)) (pow.f64 (fma.f64 1/2 (*.f64 z z) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 z z) 1) 2) (*.f64 z z)) y) (fma.f64 1/2 (*.f64 z z) (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 z z) 1) 3) (pow.f64 z 3))) (fma.f64 z (fma.f64 1/2 (*.f64 z z) (+.f64 1 z)) (pow.f64 (fma.f64 1/2 (*.f64 z z) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 z z) 1) 2) (*.f64 z z))) (fma.f64 1/2 (*.f64 z z) (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 1/2 (*.f64 z z)) (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (fma.f64 1/2 (*.f64 z z) 1) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (*.f64 z z)) y (*.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/2 (*.f64 z z) 1) y (*.f64 (neg.f64 z) y))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (*.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (*.f64 z z)) (*.f64 y 5000000000000000/5641895835477563)) (*.f64 (-.f64 1 z) (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 1/2 (*.f64 z z) 1) (*.f64 y 5000000000000000/5641895835477563)) (*.f64 (neg.f64 z) (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 1/2 (*.f64 z z))) (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y 5000000000000000/5641895835477563) (fma.f64 1/2 (*.f64 z z) 1)) (*.f64 (*.f64 y 5000000000000000/5641895835477563) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 y 5000000000000000/5641895835477563)) (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z))) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 y 5000000000000000/5641895835477563)) (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 y 5000000000000000/5641895835477563)) (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 y 5000000000000000/5641895835477563)) (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 y 5000000000000000/5641895835477563)) (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) 5000000000000000/5641895835477563)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 z z) 1) 3) (pow.f64 z 3))) (fma.f64 z (fma.f64 1/2 (*.f64 z z) (+.f64 1 z)) (pow.f64 (fma.f64 1/2 (*.f64 z z) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 z z) 1) 2) (*.f64 z z))) (fma.f64 1/2 (*.f64 z z) (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) 5000000000000000/5641895835477563)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) 5000000000000000/5641895835477563))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (*.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) 5000000000000000/5641895835477563))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 (*.f64 y (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 (*.f64 y (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 y 5000000000000000/5641895835477563)) (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) 5000000000000000/5641895835477563)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 (*.f64 y (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) 5000000000000000/5641895835477563))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (*.f64 z z)) (*.f64 y 5000000000000000/5641895835477563) (*.f64 (-.f64 1 z) (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/2 (*.f64 z z) 1) (*.f64 y 5000000000000000/5641895835477563) (*.f64 (neg.f64 z) (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 1/2 (*.f64 z z)) (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y 5000000000000000/5641895835477563) (fma.f64 1/2 (*.f64 z z) 1) (*.f64 (*.f64 y 5000000000000000/5641895835477563) (neg.f64 z)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) (*.f64 y 5000000000000000/5641895835477563) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 (*.f64 y (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z)) 2)) (fma.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) (*.f64 y 5000000000000000/5641895835477563) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) (*.f64 y 5000000000000000/5641895835477563) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) (*.f64 y 5000000000000000/5641895835477563) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) (*.f64 y 5000000000000000/5641895835477563) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) (*.f64 y 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(*.f64 z z) 1) 2) (*.f64 z z)) (/.f64 1 (fma.f64 1/2 (*.f64 z z) (+.f64 1 z))) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 z z)) 2) -1) (/.f64 1 (fma.f64 1/2 (*.f64 z z) -1)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 z z)) 2) -1) (/.f64 1 (fma.f64 1/2 (*.f64 z z) -1)) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (-.f64 1 z)) (cbrt.f64 (-.f64 1 z))) (cbrt.f64 (-.f64 1 z)) (*.f64 1/2 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) (fma.f64 1/2 (*.f64 z z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) (*.f64 1/2 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (fma.f64 1/2 (*.f64 z z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 1/2 (*.f64 z z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 z (fma.f64 1/2 (*.f64 z z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (hypot.f64 1 (*.f64 z (sqrt.f64 1/2))) (sqrt.f64 z)) (-.f64 (hypot.f64 1 (*.f64 z (sqrt.f64 1/2))) (sqrt.f64 z)) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (hypot.f64 1 (*.f64 z (sqrt.f64 1/2))) (sqrt.f64 z)) (-.f64 (hypot.f64 1 (*.f64 z (sqrt.f64 1/2))) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (hypot.f64 1 (*.f64 z (sqrt.f64 1/2))) (sqrt.f64 z)) (-.f64 (hypot.f64 1 (*.f64 z (sqrt.f64 1/2))) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (fma.f64 1/2 (*.f64 z z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cbrt.f64 (*.f64 (*.f64 z z) 1/4))) (cbrt.f64 (*.f64 z 1/2)) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cbrt.f64 (*.f64 (*.f64 z z) 1/4))) (cbrt.f64 (*.f64 z 1/2)) (*.f64 (-.f64 1 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (*.f64 z 1/2))) (sqrt.f64 (*.f64 z 1/2)) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (*.f64 z 1/2))) (sqrt.f64 (*.f64 z 1/2)) (*.f64 (-.f64 1 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z 1/2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z 1/2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 (-.f64 1 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z 1/2) (sqrt.f64 z)) (sqrt.f64 z) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z 1/2) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 (-.f64 1 z) 1))))))

simplify162.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
647×fma-neg_binary64
584×distribute-rgt-neg-in_binary64
561×unsub-neg_binary64
432×fma-def_binary64
389×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0421493
11121349
22631338
37211175
420081175
537201122
660641122
Stop Event
1×node limit
Counts
353 → 296
Calls
Call 1
Inputs
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)
y
(+.f64 (*.f64 -1 (*.f64 y z)) y)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) y))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) y))
(*.f64 1/2 (*.f64 y (pow.f64 z 2)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 y (*.f64 1/2 (*.f64 y (pow.f64 z 2)))))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 y (*.f64 1/2 (*.f64 y (pow.f64 z 2)))))
(*.f64 1/2 (*.f64 y (pow.f64 z 2)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 y (*.f64 1/2 (*.f64 y (pow.f64 z 2)))))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 y (*.f64 1/2 (*.f64 y (pow.f64 z 2)))))
(*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y))
(*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y))
(*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y))
(*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y))
(*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y))
(*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y))
(*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y))
(*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y))
(*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y))
(*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y))
(*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y))
(*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y))
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2)))
(+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2)))
(+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)) x)
(*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)) x)
(*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x))
(+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)))
(+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)))
(*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2)))
(+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)))
(+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)))
(*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2)))
(+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)))
(+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)))
(*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)) x)
1
(+.f64 (*.f64 -1 z) 1)
(+.f64 (*.f64 -1 z) (+.f64 1 (*.f64 1/2 (pow.f64 z 2))))
(+.f64 (*.f64 -1 z) (+.f64 1 (*.f64 1/2 (pow.f64 z 2))))
(*.f64 1/2 (pow.f64 z 2))
(+.f64 (*.f64 -1 z) (*.f64 1/2 (pow.f64 z 2)))
(+.f64 (*.f64 -1 z) (+.f64 1 (*.f64 1/2 (pow.f64 z 2))))
(+.f64 (*.f64 -1 z) (+.f64 1 (*.f64 1/2 (pow.f64 z 2))))
(*.f64 1/2 (pow.f64 z 2))
(+.f64 (*.f64 -1 z) (*.f64 1/2 (pow.f64 z 2)))
(+.f64 (*.f64 -1 z) (+.f64 1 (*.f64 1/2 (pow.f64 z 2))))
(+.f64 (*.f64 -1 z) (+.f64 1 (*.f64 1/2 (pow.f64 z 2))))
Outputs
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (*.f64 z z))) z) y)
(*.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) y)
(*.f64 (fma.f64 z (fma.f64 1/2 z -1) 1) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (*.f64 z z))) z) y)
(*.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) y)
(*.f64 (fma.f64 z (fma.f64 1/2 z -1) 1) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (*.f64 z z))) z) y)
(*.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) y)
(*.f64 (fma.f64 z (fma.f64 1/2 z -1) 1) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (*.f64 z z))) z) y)
(*.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) y)
(*.f64 (fma.f64 z (fma.f64 1/2 z -1) 1) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (*.f64 z z))) z) y)
(*.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) y)
(*.f64 (fma.f64 z (fma.f64 1/2 z -1) 1) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (*.f64 z z))) z) y)
(*.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) y)
(*.f64 (fma.f64 z (fma.f64 1/2 z -1) 1) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (*.f64 z z))) z) y)
(*.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) y)
(*.f64 (fma.f64 z (fma.f64 1/2 z -1) 1) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (*.f64 z z))) z) y)
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(fma.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (*.f64 z z))) z) y) x)
(fma.f64 (*.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) y) 5000000000000000/5641895835477563 x)
(fma.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) (*.f64 y 5000000000000000/5641895835477563) x)
(fma.f64 (fma.f64 z (fma.f64 1/2 z -1) 1) (*.f64 y 5000000000000000/5641895835477563) x)
(fma.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z (fma.f64 z 2500000000000000/5641895835477563 -5000000000000000/5641895835477563))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)) x)
(fma.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (*.f64 z z))) z) y) x)
(fma.f64 (*.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) y) 5000000000000000/5641895835477563 x)
(fma.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) (*.f64 y 5000000000000000/5641895835477563) x)
(fma.f64 (fma.f64 z (fma.f64 1/2 z -1) 1) (*.f64 y 5000000000000000/5641895835477563) x)
(fma.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z (fma.f64 z 2500000000000000/5641895835477563 -5000000000000000/5641895835477563))) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)) x)
(fma.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (*.f64 z z))) z) y) x)
(fma.f64 (*.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) y) 5000000000000000/5641895835477563 x)
(fma.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) (*.f64 y 5000000000000000/5641895835477563) x)
(fma.f64 (fma.f64 z (fma.f64 1/2 z -1) 1) (*.f64 y 5000000000000000/5641895835477563) x)
(fma.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z (fma.f64 z 2500000000000000/5641895835477563 -5000000000000000/5641895835477563))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)) x)
(fma.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (*.f64 z z))) z) y) x)
(fma.f64 (*.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) y) 5000000000000000/5641895835477563 x)
(fma.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) (*.f64 y 5000000000000000/5641895835477563) x)
(fma.f64 (fma.f64 z (fma.f64 1/2 z -1) 1) (*.f64 y 5000000000000000/5641895835477563) x)
(fma.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z (fma.f64 z 2500000000000000/5641895835477563 -5000000000000000/5641895835477563))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 z 2))) z) y)) x)
(fma.f64 5000000000000000/5641895835477563 (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (*.f64 z z))) z) y) x)
(fma.f64 (*.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) y) 5000000000000000/5641895835477563 x)
(fma.f64 (-.f64 (fma.f64 1/2 (*.f64 z z) 1) z) (*.f64 y 5000000000000000/5641895835477563) x)
(fma.f64 (fma.f64 z (fma.f64 1/2 z -1) 1) (*.f64 y 5000000000000000/5641895835477563) x)
(fma.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z (fma.f64 z 2500000000000000/5641895835477563 -5000000000000000/5641895835477563))) x)
1
(+.f64 (*.f64 -1 z) 1)
(fma.f64 -1 z 1)
(-.f64 1 z)
(+.f64 (*.f64 -1 z) (+.f64 1 (*.f64 1/2 (pow.f64 z 2))))
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 z z))) z)
(-.f64 (fma.f64 1/2 (*.f64 z z) 1) z)
(fma.f64 z (fma.f64 1/2 z -1) 1)
(+.f64 (*.f64 -1 z) (+.f64 1 (*.f64 1/2 (pow.f64 z 2))))
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 z z))) z)
(-.f64 (fma.f64 1/2 (*.f64 z z) 1) z)
(fma.f64 z (fma.f64 1/2 z -1) 1)
(*.f64 1/2 (pow.f64 z 2))
(*.f64 1/2 (*.f64 z z))
(+.f64 (*.f64 -1 z) (*.f64 1/2 (pow.f64 z 2)))
(fma.f64 -1 z (*.f64 1/2 (*.f64 z z)))
(-.f64 (*.f64 1/2 (*.f64 z z)) z)
(*.f64 z (fma.f64 1/2 z -1))
(+.f64 (*.f64 -1 z) (+.f64 1 (*.f64 1/2 (pow.f64 z 2))))
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 z z))) z)
(-.f64 (fma.f64 1/2 (*.f64 z z) 1) z)
(fma.f64 z (fma.f64 1/2 z -1) 1)
(+.f64 (*.f64 -1 z) (+.f64 1 (*.f64 1/2 (pow.f64 z 2))))
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 z z))) z)
(-.f64 (fma.f64 1/2 (*.f64 z z) 1) z)
(fma.f64 z (fma.f64 1/2 z -1) 1)
(*.f64 1/2 (pow.f64 z 2))
(*.f64 1/2 (*.f64 z z))
(+.f64 (*.f64 -1 z) (*.f64 1/2 (pow.f64 z 2)))
(fma.f64 -1 z (*.f64 1/2 (*.f64 z z)))
(-.f64 (*.f64 1/2 (*.f64 z z)) z)
(*.f64 z (fma.f64 1/2 z -1))
(+.f64 (*.f64 -1 z) (+.f64 1 (*.f64 1/2 (pow.f64 z 2))))
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 z z))) z)
(-.f64 (fma.f64 1/2 (*.f64 z z) 1) z)
(fma.f64 z (fma.f64 1/2 z -1) 1)
(+.f64 (*.f64 -1 z) (+.f64 1 (*.f64 1/2 (pow.f64 z 2))))
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 z z))) z)
(-.f64 (fma.f64 1/2 (*.f64 z z) 1) z)
(fma.f64 z (fma.f64 1/2 z -1) 1)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (exp.f64 z) 5000000000000000/5641895835477563)
✓0.1b
(/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563))
Compiler

Compiled 18 to 10 computations (44.4% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@0
(/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563))
0.0ms
z
@0
(/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563))
0.0ms
z
@-inf
(/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563))
0.0ms
y
@-inf
(/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563))
0.0ms
z
@inf
(/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563))

rewrite320.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
784×pow1_binary64
735×add-log-exp_binary64
735×log1p-expm1-u_binary64
735×expm1-log1p-u_binary64
720×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
115115
2198715
Stop Event
1×node limit
Counts
2 → 61
Calls
Call 1
Inputs
(/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563))
(/.f64 (exp.f64 z) 5000000000000000/5641895835477563)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) 2) (cbrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) (sqrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 (exp.f64 z) -5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (exp.f64 z)) 5000000000000000/5641895835477563)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (exp.f64 z)) (/.f64 (sqrt.f64 y) 5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (exp.f64 z)) (/.f64 y 5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (exp.f64 z)) (/.f64 (cbrt.f64 y) 5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 2)) (/.f64 y (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 2)) (cbrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (/.f64 y (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 (exp.f64 z))) -5000000000000000/5641895835477563)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 z) (/.f64 y 5641895835477563/5000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 (exp.f64 z) -5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (-.f64 (log.f64 y) z) (log.f64 5000000000000000/5641895835477563)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 2) (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (*.f64 (cbrt.f64 (exp.f64 z)) 5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 z)) (*.f64 (sqrt.f64 (exp.f64 z)) 5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 z)) -5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5641895835477563/5000000000000000 (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 z) -5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 z)) 5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 z (log.f64 5641895835477563/5000000000000000)))))))

simplify100.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
899×unsub-neg_binary64
570×associate-+r+_binary64
335×fma-def_binary64
284×*-commutative_binary64
265×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048357
1137348
2458330
32251327
45437327
Stop Event
1×node limit
Counts
97 → 76
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (*.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 y) (*.f64 -1 y))) (*.f64 1/6 y))) (pow.f64 z 3))))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
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 5641895835477563/5000000000000000 (exp.f64 z))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
Outputs
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))
(*.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 y (*.f64 (*.f64 -5000000000000000/5641895835477563 z) y))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 (*.f64 z z) (*.f64 y -1/2)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 z (*.f64 z (*.f64 y -1/2))) (fma.f64 5000000000000000/5641895835477563 y (*.f64 (*.f64 -5000000000000000/5641895835477563 z) y)))
(fma.f64 (*.f64 z z) (*.f64 y 2500000000000000/5641895835477563) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563))))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 z (*.f64 z -1/2)) z))))
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (*.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 y) (*.f64 -1 y))) (*.f64 1/6 y))) (pow.f64 z 3))))))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 (*.f64 z z) (*.f64 y -1/2)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 y z) (*.f64 (fma.f64 -1/2 y (fma.f64 -1 (*.f64 y -1/2) (*.f64 y 1/6))) (pow.f64 z 3))))))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 z (*.f64 z (*.f64 y -1/2))) (fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (fma.f64 y z (*.f64 (fma.f64 y -1/2 (fma.f64 y 1/6 (*.f64 y 1/2))) (pow.f64 z 3))))))
(fma.f64 -5000000000000000/5641895835477563 (fma.f64 y z (*.f64 (fma.f64 y 1/6 0) (pow.f64 z 3))) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563))))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 y (+.f64 (*.f64 1/6 (pow.f64 z 3)) z)) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))
5641895835477563/5000000000000000
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))
(fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)
(+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(fma.f64 5641895835477563/10000000000000000 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000)))
(fma.f64 (*.f64 z z) 5641895835477563/10000000000000000 (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000))
(fma.f64 z 5641895835477563/5000000000000000 (fma.f64 z (*.f64 z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000))
(fma.f64 z 5641895835477563/5000000000000000 (fma.f64 (*.f64 z z) 5641895835477563/10000000000000000 5641895835477563/5000000000000000))
(+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 5641895835477563/30000000000000000 (pow.f64 z 3)))))
(fma.f64 5641895835477563/10000000000000000 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (*.f64 (pow.f64 z 3) 5641895835477563/30000000000000000))))
(+.f64 (fma.f64 (*.f64 z z) 5641895835477563/10000000000000000 (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)) (*.f64 (pow.f64 z 3) 5641895835477563/30000000000000000))
(fma.f64 z (*.f64 z 5641895835477563/10000000000000000) (fma.f64 z 5641895835477563/5000000000000000 (fma.f64 (pow.f64 z 3) 5641895835477563/30000000000000000 5641895835477563/5000000000000000)))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000)
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000)
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000)
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000)
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000)
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000)
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000)
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000)

eval742.0ms (6.2%)

Compiler

Compiled 11120 to 6755 computations (39.3% saved)

prune205.0ms (1.7%)

Pruning

16 alts after pruning (10 fresh and 6 done)

PrunedKeptTotal
New6465651
Fresh156
Picked011
Done055
Total64716663
Error
0b
Counts
663 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
18.6b
x
▶26.4b
(fma.f64 (/.f64 -1 (*.f64 y x)) y x)
53.9b
(/.f64 y 5641895835477563/5000000000000000)
49.8b
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (fma.f64 x x (+.f64 1 (pow.f64 x -2))))
✓23.0b
(-.f64 x (/.f64 1 x))
✓53.7b
(/.f64 -1 x)
✓35.4b
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (-.f64 (+.f64 (*.f64 z (*.f64 z 1/2)) 1) z))) x)
▶54.3b
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 z (*.f64 z -1/2)) z))))
31.2b
(+.f64 (*.f64 5000000000000000/5641895835477563 (-.f64 y (*.f64 y z))) x)
▶53.9b
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))
▶53.9b
(*.f64 5000000000000000/5641895835477563 y)
▶25.9b
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x)
✓11.9b
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)
✓53.8b
(/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563))
✓25.9b
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
36.9b
(+.f64 (*.f64 5000000000000000/5641895835477563 (-.f64 y (*.f64 z (-.f64 y (*.f64 z (+.f64 (*.f64 y 1/2) (*.f64 z (*.f64 y -1/6)))))))) x)
Compiler

Compiled 291 to 212 computations (27.1% saved)

localize188.0ms (1.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x)
✓0.2b
(/.f64 y 5641895835477563/5000000000000000)
Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite87.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
742×pow1_binary64
700×add-log-exp_binary64
700×log1p-expm1-u_binary64
700×expm1-log1p-u_binary64
687×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0611
11389
218829
Stop Event
1×node limit
Counts
2 → 57
Calls
Call 1
Inputs
(/.f64 y 5641895835477563/5000000000000000)
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y 5000000000000000/5641895835477563)) 1)))) (#(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 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2) (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.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 (neg.f64 y) -5000000000000000/5641895835477563)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5000000000000000/5641895835477563 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 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 5641895835477563/5000000000000000 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y -5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))))) (#(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 y 5000000000000000/5641895835477563 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (fma.f64 y 5000000000000000/5641895835477563 (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y 5000000000000000/5641895835477563 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y 5000000000000000/5641895835477563 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) (pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2) (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (*.f64 x (-.f64 x (*.f64 y 5000000000000000/5641895835477563))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y 5000000000000000/5641895835477563 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (*.f64 x (-.f64 x (*.f64 y 5000000000000000/5641895835477563)))) (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y 5000000000000000/5641895835477563 (neg.f64 x)) (-.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (*.f64 x (-.f64 x (*.f64 y 5000000000000000/5641895835477563)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (/.f64 (*.f64 y x) 5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (*.f64 x x)) (fma.f64 y 5000000000000000/5641895835477563 (neg.f64 x)))))) (#(struct:change #<rule 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 y 5000000000000000/5641895835477563) 2) (*.f64 x (-.f64 x (*.f64 y 5000000000000000/5641895835477563))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (*.f64 x x))) (neg.f64 (fma.f64 y 5000000000000000/5641895835477563 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2)) (-.f64 x (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2) (cbrt.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 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x)))))

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×fma-def_binary64
1×+-commutative_binary64
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06153
19153
210153
Stop Event
1×saturated
Counts
93 → 60
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)
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)
(*.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)
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)
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)
(*.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)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.4b
(*.f64 5000000000000000/5641895835477563 y)
Compiler

Compiled 8 to 6 computations (25% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite68.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
345×pow1_binary64
338×add-sqr-sqrt_binary64
329×*-un-lft-identity_binary64
321×add-log-exp_binary64
321×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1804
28734
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 5000000000000000/5641895835477563 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 5000000000000000/5641895835477563 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 10000000000000000/5641895835477563) y))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 5000000000000000/5641895835477563 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 5000000000000000/5641895835477563 y)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 5000000000000000/5641895835477563 y)) (+.f64 1 (*.f64 5000000000000000/5641895835477563 y))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 5000000000000000/5641895835477563 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 5000000000000000/5641895835477563 y)) (+.f64 1 (*.f64 5000000000000000/5641895835477563 y))) 1) (+.f64 (+.f64 1 (*.f64 5000000000000000/5641895835477563 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 5000000000000000/5641895835477563 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 5000000000000000/5641895835477563 y)))) (sqrt.f64 (log.f64 (*.f64 5000000000000000/5641895835477563 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 5000000000000000/5641895835477563 y))) 2)) (cbrt.f64 (log.f64 (*.f64 5000000000000000/5641895835477563 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 5000000000000000/5641895835477563 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 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 5000000000000000/5641895835477563 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y))) 2))))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
25 → 25
Calls
Call 1
Inputs
Outputs

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563))
✓0.3b
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))
✓0.4b
(*.f64 z -5000000000000000/5641895835477563)
Compiler

Compiled 22 to 16 computations (27.3% saved)

series6.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
z
@0
(*.f64 z -5000000000000000/5641895835477563)
1.0ms
y
@0
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))
0.0ms
y
@inf
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))
0.0ms
y
@-inf
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))
0.0ms
z
@inf
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))

rewrite83.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
895×pow1_binary64
837×add-log-exp_binary64
837×log1p-expm1-u_binary64
837×expm1-log1p-u_binary64
822×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0821
117617
2226817
Stop Event
1×node limit
Counts
3 → 67
Calls
Call 1
Inputs
(*.f64 z -5000000000000000/5641895835477563)
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))
(+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z -5000000000000000/5641895835477563)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z -5000000000000000/5641895835477563) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z -5000000000000000/5641895835477563)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z -5000000000000000/5641895835477563)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 z 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 z z) 25000000000000000000000000000000/31830988618379068626528276418969))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -5000000000000000/5641895835477563) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z -5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z -5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z -5000000000000000/5641895835477563)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 -5000000000000000/5641895835477563 (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 z y)) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y 5000000000000000/5641895835477563) 1) (*.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 z y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3) (pow.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 z y)) 3)) (+.f64 (*.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 y 5000000000000000/5641895835477563)) (-.f64 (*.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 z y)) (*.f64 -5000000000000000/5641895835477563 (*.f64 z y))) (*.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 -5000000000000000/5641895835477563 (*.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 y 5000000000000000/5641895835477563)) (*.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 z y)) (*.f64 -5000000000000000/5641895835477563 (*.f64 z y)))) (-.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 -5000000000000000/5641895835477563 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 z 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) y) (+.f64 25000000000000000000000000000000/31830988618379068626528276418969 (-.f64 (*.f64 (*.f64 z z) 25000000000000000000000000000000/31830988618379068626528276418969) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 z z) 25000000000000000000000000000000/31830988618379068626528276418969)) y) (+.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 z 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))) (+.f64 25000000000000000000000000000000/31830988618379068626528276418969 (-.f64 (*.f64 (*.f64 z z) 25000000000000000000000000000000/31830988618379068626528276418969) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 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5000000000000000/5641895835477563)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (fma.f64 z -5000000000000000/5641895835477563 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 25000000000000000000000000000000/31830988618379068626528276418969 (+.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 z))) (/.f64 (*.f64 (*.f64 z z) 25000000000000000000000000000000/31830988618379068626528276418969) (+.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)) (pow.f64 (cbrt.f64 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)) 2) (cbrt.f64 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)) (sqrt.f64 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 z 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (/.f64 1 (+.f64 25000000000000000000000000000000/31830988618379068626528276418969 (-.f64 (*.f64 (*.f64 z z) 25000000000000000000000000000000/31830988618379068626528276418969) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 z z) 25000000000000000000000000000000/31830988618379068626528276418969)) (/.f64 1 (+.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 25000000000000000000000000000000/31830988618379068626528276418969 (-.f64 (*.f64 (*.f64 z z) 25000000000000000000000000000000/31830988618379068626528276418969) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 z))) (+.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 z 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 z)) (-.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 z z) 25000000000000000000000000000000/31830988618379068626528276418969))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 z 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (+.f64 25000000000000000000000000000000/31830988618379068626528276418969 (-.f64 (*.f64 (*.f64 z z) 25000000000000000000000000000000/31830988618379068626528276418969) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 z 3) 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25000000000000000000000000000000/31830988618379068626528276418969 (-.f64 (*.f64 (*.f64 z z) 25000000000000000000000000000000/31830988618379068626528276418969) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 z z) 25000000000000000000000000000000/31830988618379068626528276418969))) (neg.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 z z) 25000000000000000000000000000000/31830988618379068626528276418969) 25000000000000000000000000000000/31830988618379068626528276418969) (-.f64 (*.f64 z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z -5000000000000000/5641895835477563)) 2) (cbrt.f64 (*.f64 z -5000000000000000/5641895835477563)) 5000000000000000/5641895835477563)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z -5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 z -5000000000000000/5641895835477563)) 5000000000000000/5641895835477563)))))

simplify27.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
10×fma-def_binary64
7×*-commutative_binary64
2×+-commutative_binary64
2×associate-*r*_binary64
2×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012348
122288
237288
340288
Stop Event
1×saturated
Counts
115 → 76
Calls
Call 1
Inputs
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
5000000000000000/5641895835477563
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))
(*.f64 -5000000000000000/5641895835477563 z)
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))
(*.f64 -5000000000000000/5641895835477563 z)
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))
Outputs
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 (*.f64 -5000000000000000/5641895835477563 y) z)
(*.f64 z (*.f64 -5000000000000000/5641895835477563 y))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 (*.f64 -5000000000000000/5641895835477563 y) z)
(*.f64 z (*.f64 -5000000000000000/5641895835477563 y))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
5000000000000000/5641895835477563
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))
(+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)
(fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))
(+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)
(fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))
(+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)
(fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)
(*.f64 -5000000000000000/5641895835477563 z)
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))
(+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)
(fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))
(+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)
(fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))
(+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)
(fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)
(*.f64 -5000000000000000/5641895835477563 z)
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))
(+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)
(fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))
(+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)
(fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))
(+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)
(fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 z (*.f64 z -1/2)) z)
✓0.0b
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 z (*.f64 z -1/2)) z)))
✓0.3b
(*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 z (*.f64 z -1/2)) z))
✓3.7b
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 z (*.f64 z -1/2)) z))))
Compiler

Compiled 56 to 38 computations (32.1% saved)

series6.0ms (0.1%)

Counts
4 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
y
@0
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 z (*.f64 z -1/2)) z))))
1.0ms
y
@inf
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 z (*.f64 z -1/2)) z))))
0.0ms
y
@-inf
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 z (*.f64 z -1/2)) z))))
0.0ms
z
@inf
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 z (*.f64 z -1/2)) z))))
0.0ms
z
@-inf
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 z (*.f64 z -1/2)) z))))

rewrite145.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
664×log-prod_binary64
477×fma-def_binary64
346×pow2_binary64
240×pow1/3_binary64
238×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01250
127546
2381246
Stop Event
1×node limit
Counts
4 → 233
Calls
Call 1
Inputs
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 z (*.f64 z -1/2)) z))))
(*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 z (*.f64 z -1/2)) z))
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 z (*.f64 z -1/2)) z)))
(+.f64 (*.f64 z (*.f64 z -1/2)) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 (*.f64 y -5000000000000000/5641895835477563) (*.f64 z (fma.f64 z -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y -5000000000000000/5641895835477563) (*.f64 z (fma.f64 z -1/2 1))) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)) 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y 5000000000000000/5641895835477563) 1) (*.f64 (*.f64 (*.f64 y -5000000000000000/5641895835477563) (*.f64 z (fma.f64 z -1/2 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)) 5000000000000000/5641895835477563))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)) 5000000000000000/5641895835477563)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)) 5000000000000000/5641895835477563)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)) 5000000000000000/5641895835477563)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)) 5000000000000000/5641895835477563)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3) (pow.f64 (*.f64 (*.f64 y -5000000000000000/5641895835477563) (*.f64 z (fma.f64 z -1/2 1))) 3)) (+.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (-.f64 (pow.f64 (*.f64 (*.f64 y -5000000000000000/5641895835477563) (*.f64 z (fma.f64 z -1/2 1))) 2) (*.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 (*.f64 y -5000000000000000/5641895835477563) (*.f64 z (fma.f64 z -1/2 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (pow.f64 (*.f64 (*.f64 y -5000000000000000/5641895835477563) (*.f64 z (fma.f64 z -1/2 1))) 2)) (-.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 (*.f64 y -5000000000000000/5641895835477563) (*.f64 z (fma.f64 z -1/2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 z (fma.f64 z -1/2 1)) 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) y) (fma.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1))) (fma.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)) -5000000000000000/5641895835477563) 25000000000000000000000000000000/31830988618379068626528276418969))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 (*.f64 z (fma.f64 z -1/2 1)) 2) 25000000000000000000000000000000/31830988618379068626528276418969)) y) (-.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 (pow.f64 (*.f64 z (fma.f64 z -1/2 1)) 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (fma.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1))) (fma.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)) -5000000000000000/5641895835477563) 25000000000000000000000000000000/31830988618379068626528276418969))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 (*.f64 z (fma.f64 z -1/2 1)) 2) 25000000000000000000000000000000/31830988618379068626528276418969))) (-.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)) 5000000000000000/5641895835477563)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)) 5000000000000000/5641895835477563)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)) 5000000000000000/5641895835477563)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)) 5000000000000000/5641895835477563))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)) 5000000000000000/5641895835477563))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)) 5000000000000000/5641895835477563) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)) 5000000000000000/5641895835477563) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)) 5000000000000000/5641895835477563)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (fma.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)) 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)) 5000000000000000/5641895835477563)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 y -5000000000000000/5641895835477563) (*.f64 z (fma.f64 z -1/2 1)))) (exp.f64 (*.f64 y 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)) 5000000000000000/5641895835477563)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)) 5000000000000000/5641895835477563) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)) 5000000000000000/5641895835477563) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)) 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)) 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)) 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 z (fma.f64 z -1/2 1)) 5000000000000000/5641895835477563))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 5000000000000000/5641895835477563 (*.f64 (*.f64 y -5000000000000000/5641895835477563) (*.f64 z (fma.f64 z -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 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egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (fma.f64 z -1/2 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (fma.f64 z -1/2 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (fma.f64 z -1/2 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 z (-.f64 z (*.f64 z (*.f64 z -1/2))) (*.f64 (pow.f64 (*.f64 z z) 2) 1/4)) (fma.f64 (pow.f64 (*.f64 z z) 3) -1/8 (pow.f64 z 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z (fma.f64 z -1/2 -1)) (-.f64 (*.f64 (pow.f64 (*.f64 z z) 2) 1/4) (*.f64 z z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (fma.f64 z -1/2 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (fma.f64 z -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (fma.f64 z -1/2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 z)) (pow.f64 (exp.f64 z) (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 z) (+.f64 1 (expm1.f64 (*.f64 z (*.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 z)) (+.f64 1 (expm1.f64 (*.f64 z (*.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 z -1/2)))) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 z) (*.f64 z -1/2)) (+.f64 1 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 z -1/2)))) (+.f64 1 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (fma.f64 z -1/2 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (fma.f64 z -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (fma.f64 z -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (fma.f64 z -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 z -1/2 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (*.f64 z -1/2) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 (*.f64 z (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (*.f64 z z) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z -1/2) z z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (*.f64 z -1/2)) 1 z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 z (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (*.f64 z -1/2)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z z) -1/2 z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z (*.f64 z -1/2))) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 z -1/2))) 2) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 z -1/2))) 2) (cbrt.f64 (*.f64 z (*.f64 z -1/2))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 z (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 z (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (*.f64 z -1/2)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z -1/2)) 2) (*.f64 (cbrt.f64 (*.f64 z -1/2)) z) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 -1/2)) (*.f64 z (sqrt.f64 -1/2)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 z -1/2)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z -1/2)) (*.f64 (sqrt.f64 (*.f64 z -1/2)) z) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (*.f64 z -1/2)) 2)) (cbrt.f64 (*.f64 z -1/2)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (*.f64 z -1/2))) (sqrt.f64 (*.f64 z -1/2)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z -1/2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z -1/2) (sqrt.f64 z)) (sqrt.f64 z) z)))))

simplify148.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1094×fma-def_binary64
684×unswap-sqr_binary64
678×fabs-mul_binary64
664×cube-prod_binary64
584×sqr-pow_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031707
182651
2184635
3373537
4971537
51571537
61892537
72325537
82714537
93703537
103975537
114358537
124822537
135430537
146188537
157067537
Stop Event
1×node limit
Counts
293 → 261
Calls
Call 1
Inputs
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 -1/2 (pow.f64 z 2)) z))))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 -1/2 (pow.f64 z 2)) z))))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 -1/2 (pow.f64 z 2)) z))))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 -1/2 (pow.f64 z 2)) z))))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 -1/2 (pow.f64 z 2)) z))))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 -1/2 (pow.f64 z 2)) z))))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 -1/2 (pow.f64 z 2)) z))))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 -1/2 (pow.f64 z 2)) z))))
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 z (*.f64 -1/2 (pow.f64 z 2))))) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 z (*.f64 -1/2 (pow.f64 z 2))))) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 z (*.f64 -1/2 (pow.f64 z 2))))) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 z (*.f64 -1/2 (pow.f64 z 2))))) y)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2)))
(+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2)))
(+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(*.f64 -5000000000000000/5641895835477563 z)
(+.f64 (*.f64 2500000000000000/5641895835477563 (pow.f64 z 2)) (*.f64 -5000000000000000/5641895835477563 z))
(+.f64 (*.f64 2500000000000000/5641895835477563 (pow.f64 z 2)) (*.f64 -5000000000000000/5641895835477563 z))
(+.f64 (*.f64 2500000000000000/5641895835477563 (pow.f64 z 2)) (*.f64 -5000000000000000/5641895835477563 z))
(*.f64 2500000000000000/5641895835477563 (pow.f64 z 2))
(+.f64 (*.f64 2500000000000000/5641895835477563 (pow.f64 z 2)) (*.f64 -5000000000000000/5641895835477563 z))
(+.f64 (*.f64 2500000000000000/5641895835477563 (pow.f64 z 2)) (*.f64 -5000000000000000/5641895835477563 z))
(+.f64 (*.f64 2500000000000000/5641895835477563 (pow.f64 z 2)) (*.f64 -5000000000000000/5641895835477563 z))
(*.f64 2500000000000000/5641895835477563 (pow.f64 z 2))
(+.f64 (*.f64 2500000000000000/5641895835477563 (pow.f64 z 2)) (*.f64 -5000000000000000/5641895835477563 z))
(+.f64 (*.f64 2500000000000000/5641895835477563 (pow.f64 z 2)) (*.f64 -5000000000000000/5641895835477563 z))
(+.f64 (*.f64 2500000000000000/5641895835477563 (pow.f64 z 2)) (*.f64 -5000000000000000/5641895835477563 z))
5000000000000000/5641895835477563
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))
(+.f64 5000000000000000/5641895835477563 (+.f64 (*.f64 2500000000000000/5641895835477563 (pow.f64 z 2)) (*.f64 -5000000000000000/5641895835477563 z)))
(+.f64 5000000000000000/5641895835477563 (+.f64 (*.f64 2500000000000000/5641895835477563 (pow.f64 z 2)) (*.f64 -5000000000000000/5641895835477563 z)))
(*.f64 2500000000000000/5641895835477563 (pow.f64 z 2))
(+.f64 (*.f64 2500000000000000/5641895835477563 (pow.f64 z 2)) (*.f64 -5000000000000000/5641895835477563 z))
(+.f64 5000000000000000/5641895835477563 (+.f64 (*.f64 2500000000000000/5641895835477563 (pow.f64 z 2)) (*.f64 -5000000000000000/5641895835477563 z)))
(+.f64 5000000000000000/5641895835477563 (+.f64 (*.f64 2500000000000000/5641895835477563 (pow.f64 z 2)) (*.f64 -5000000000000000/5641895835477563 z)))
(*.f64 2500000000000000/5641895835477563 (pow.f64 z 2))
(+.f64 (*.f64 2500000000000000/5641895835477563 (pow.f64 z 2)) (*.f64 -5000000000000000/5641895835477563 z))
(+.f64 5000000000000000/5641895835477563 (+.f64 (*.f64 2500000000000000/5641895835477563 (pow.f64 z 2)) (*.f64 -5000000000000000/5641895835477563 z)))
(+.f64 5000000000000000/5641895835477563 (+.f64 (*.f64 2500000000000000/5641895835477563 (pow.f64 z 2)) (*.f64 -5000000000000000/5641895835477563 z)))
z
(+.f64 (*.f64 -1/2 (pow.f64 z 2)) z)
(+.f64 (*.f64 -1/2 (pow.f64 z 2)) z)
(+.f64 (*.f64 -1/2 (pow.f64 z 2)) z)
(*.f64 -1/2 (pow.f64 z 2))
(+.f64 z (*.f64 -1/2 (pow.f64 z 2)))
(+.f64 z (*.f64 -1/2 (pow.f64 z 2)))
(+.f64 z (*.f64 -1/2 (pow.f64 z 2)))
(*.f64 -1/2 (pow.f64 z 2))
(+.f64 z (*.f64 -1/2 (pow.f64 z 2)))
(+.f64 z (*.f64 -1/2 (pow.f64 z 2)))
(+.f64 z (*.f64 -1/2 (pow.f64 z 2)))
Outputs
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 -1/2 (pow.f64 z 2)) z))))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (fma.f64 -1/2 (*.f64 z z) z))))
(*.f64 y (fma.f64 -5000000000000000/5641895835477563 (fma.f64 -1/2 (*.f64 z z) z) 5000000000000000/5641895835477563))
(*.f64 y (fma.f64 z (*.f64 z 2500000000000000/5641895835477563) (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)))
(*.f64 y (fma.f64 z (fma.f64 z 2500000000000000/5641895835477563 -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 -1/2 (pow.f64 z 2)) z))))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (fma.f64 -1/2 (*.f64 z z) z))))
(*.f64 y (fma.f64 -5000000000000000/5641895835477563 (fma.f64 -1/2 (*.f64 z z) z) 5000000000000000/5641895835477563))
(*.f64 y (fma.f64 z (*.f64 z 2500000000000000/5641895835477563) (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)))
(*.f64 y (fma.f64 z (fma.f64 z 2500000000000000/5641895835477563 -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 -1/2 (pow.f64 z 2)) z))))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (fma.f64 -1/2 (*.f64 z z) z))))
(*.f64 y (fma.f64 -5000000000000000/5641895835477563 (fma.f64 -1/2 (*.f64 z z) z) 5000000000000000/5641895835477563))
(*.f64 y (fma.f64 z (*.f64 z 2500000000000000/5641895835477563) (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)))
(*.f64 y (fma.f64 z (fma.f64 z 2500000000000000/5641895835477563 -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 -1/2 (pow.f64 z 2)) z))))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (fma.f64 -1/2 (*.f64 z z) z))))
(*.f64 y (fma.f64 -5000000000000000/5641895835477563 (fma.f64 -1/2 (*.f64 z z) z) 5000000000000000/5641895835477563))
(*.f64 y (fma.f64 z (*.f64 z 2500000000000000/5641895835477563) (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)))
(*.f64 y (fma.f64 z (fma.f64 z 2500000000000000/5641895835477563 -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 -1/2 (pow.f64 z 2)) z))))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (fma.f64 -1/2 (*.f64 z z) z))))
(*.f64 y (fma.f64 -5000000000000000/5641895835477563 (fma.f64 -1/2 (*.f64 z z) z) 5000000000000000/5641895835477563))
(*.f64 y (fma.f64 z (*.f64 z 2500000000000000/5641895835477563) (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)))
(*.f64 y (fma.f64 z (fma.f64 z 2500000000000000/5641895835477563 -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 -1/2 (pow.f64 z 2)) z))))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (fma.f64 -1/2 (*.f64 z z) z))))
(*.f64 y (fma.f64 -5000000000000000/5641895835477563 (fma.f64 -1/2 (*.f64 z z) z) 5000000000000000/5641895835477563))
(*.f64 y (fma.f64 z (*.f64 z 2500000000000000/5641895835477563) (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)))
(*.f64 y (fma.f64 z (fma.f64 z 2500000000000000/5641895835477563 -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 -1/2 (pow.f64 z 2)) z))))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (fma.f64 -1/2 (*.f64 z z) z))))
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(fma.f64 -5000000000000000/5641895835477563 (fma.f64 -1/2 (*.f64 z z) z) 5000000000000000/5641895835477563)
(fma.f64 z (*.f64 z 2500000000000000/5641895835477563) (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563))
(fma.f64 z (fma.f64 z 2500000000000000/5641895835477563 -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)
(*.f64 2500000000000000/5641895835477563 (pow.f64 z 2))
(*.f64 (*.f64 z z) 2500000000000000/5641895835477563)
(*.f64 z (*.f64 z 2500000000000000/5641895835477563))
(+.f64 (*.f64 2500000000000000/5641895835477563 (pow.f64 z 2)) (*.f64 -5000000000000000/5641895835477563 z))
(fma.f64 2500000000000000/5641895835477563 (*.f64 z z) (*.f64 -5000000000000000/5641895835477563 z))
(fma.f64 (*.f64 z z) 2500000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))
(*.f64 z (+.f64 -5000000000000000/5641895835477563 (*.f64 z 2500000000000000/5641895835477563)))
(*.f64 z (fma.f64 z 2500000000000000/5641895835477563 -5000000000000000/5641895835477563))
(+.f64 5000000000000000/5641895835477563 (+.f64 (*.f64 2500000000000000/5641895835477563 (pow.f64 z 2)) (*.f64 -5000000000000000/5641895835477563 z)))
(+.f64 5000000000000000/5641895835477563 (fma.f64 2500000000000000/5641895835477563 (*.f64 z z) (*.f64 -5000000000000000/5641895835477563 z)))
(fma.f64 -5000000000000000/5641895835477563 (fma.f64 -1/2 (*.f64 z z) z) 5000000000000000/5641895835477563)
(fma.f64 z (*.f64 z 2500000000000000/5641895835477563) (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563))
(fma.f64 z (fma.f64 z 2500000000000000/5641895835477563 -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)
(+.f64 5000000000000000/5641895835477563 (+.f64 (*.f64 2500000000000000/5641895835477563 (pow.f64 z 2)) (*.f64 -5000000000000000/5641895835477563 z)))
(+.f64 5000000000000000/5641895835477563 (fma.f64 2500000000000000/5641895835477563 (*.f64 z z) (*.f64 -5000000000000000/5641895835477563 z)))
(fma.f64 -5000000000000000/5641895835477563 (fma.f64 -1/2 (*.f64 z z) z) 5000000000000000/5641895835477563)
(fma.f64 z (*.f64 z 2500000000000000/5641895835477563) (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563))
(fma.f64 z (fma.f64 z 2500000000000000/5641895835477563 -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)
z
(+.f64 (*.f64 -1/2 (pow.f64 z 2)) z)
(fma.f64 -1/2 (*.f64 z z) z)
(*.f64 z (fma.f64 -1/2 z 1))
(+.f64 (*.f64 -1/2 (pow.f64 z 2)) z)
(fma.f64 -1/2 (*.f64 z z) z)
(*.f64 z (fma.f64 -1/2 z 1))
(+.f64 (*.f64 -1/2 (pow.f64 z 2)) z)
(fma.f64 -1/2 (*.f64 z z) z)
(*.f64 z (fma.f64 -1/2 z 1))
(*.f64 -1/2 (pow.f64 z 2))
(*.f64 -1/2 (*.f64 z z))
(+.f64 z (*.f64 -1/2 (pow.f64 z 2)))
(fma.f64 -1/2 (*.f64 z z) z)
(*.f64 z (fma.f64 -1/2 z 1))
(+.f64 z (*.f64 -1/2 (pow.f64 z 2)))
(fma.f64 -1/2 (*.f64 z z) z)
(*.f64 z (fma.f64 -1/2 z 1))
(+.f64 z (*.f64 -1/2 (pow.f64 z 2)))
(fma.f64 -1/2 (*.f64 z z) z)
(*.f64 z (fma.f64 -1/2 z 1))
(*.f64 -1/2 (pow.f64 z 2))
(*.f64 -1/2 (*.f64 z z))
(+.f64 z (*.f64 -1/2 (pow.f64 z 2)))
(fma.f64 -1/2 (*.f64 z z) z)
(*.f64 z (fma.f64 -1/2 z 1))
(+.f64 z (*.f64 -1/2 (pow.f64 z 2)))
(fma.f64 -1/2 (*.f64 z z) z)
(*.f64 z (fma.f64 -1/2 z 1))
(+.f64 z (*.f64 -1/2 (pow.f64 z 2)))
(fma.f64 -1/2 (*.f64 z z) z)
(*.f64 z (fma.f64 -1/2 z 1))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.6b
(/.f64 -1 (*.f64 y x))
✓9.3b
(fma.f64 (/.f64 -1 (*.f64 y x)) y x)
Compiler

Compiled 22 to 10 computations (54.5% saved)

series6.0ms (0%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(fma.f64 (/.f64 -1 (*.f64 y x)) y x)
1.0ms
y
@0
(fma.f64 (/.f64 -1 (*.f64 y x)) y x)
1.0ms
y
@-inf
(fma.f64 (/.f64 -1 (*.f64 y x)) y x)
1.0ms
x
@0
(fma.f64 (/.f64 -1 (*.f64 y x)) y x)
1.0ms
x
@inf
(fma.f64 (/.f64 -1 (*.f64 y x)) y x)

rewrite60.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
707×pow1_binary64
649×add-log-exp_binary64
649×log1p-expm1-u_binary64
649×expm1-log1p-u_binary64
635×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0718
114218
2175018
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(fma.f64 (/.f64 -1 (*.f64 y x)) y x)
(/.f64 -1 (*.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 y (*.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (*.f64 y (neg.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (*.f64 y (neg.f64 x))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (/.f64 -1 (*.f64 y x)) y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 -1 (*.f64 y x)) y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 -1 (*.f64 y x)) y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 -1 (*.f64 y x)) y x)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1 (*.f64 y x)) y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1 (*.f64 y x)) y x)) 2) (cbrt.f64 (fma.f64 (/.f64 -1 (*.f64 y x)) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 -1 (*.f64 y x)) y x)) (sqrt.f64 (fma.f64 (/.f64 -1 (*.f64 y x)) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 y (*.f64 y (neg.f64 x))) 3) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 y (*.f64 y (neg.f64 x))) (/.f64 y (*.f64 y (neg.f64 x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 y (*.f64 y (neg.f64 x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 y (*.f64 y (neg.f64 x))) (/.f64 y (*.f64 y (neg.f64 x)))) (*.f64 x x)) (-.f64 (/.f64 y (*.f64 y (neg.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 -1 (*.f64 y x)) y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 -1 (*.f64 y x)) y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1 (*.f64 y x)) y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 -1 (*.f64 y x)) y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 -1 (*.f64 y x)) y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 -1 (*.f64 y x)) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1 (*.f64 y x)) y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 -1 (*.f64 y x)) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 -1 (*.f64 y x)) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 -1 (*.f64 y x)) y x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (*.f64 y x))) (pow.f64 (/.f64 -1 (cbrt.f64 (*.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (*.f64 y x))) 2) (/.f64 -1 (cbrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (*.f64 y x))) (sqrt.f64 (/.f64 -1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (*.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (*.f64 y x))))))))

simplify22.0ms (0.2%)

Algorithm
1×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
07153
111153
215153
323153
433153
550153
687153
7126153
8172153
9216153
10259153
11261153
Stop Event
1×saturated
Counts
67 → 47
Calls
Call 1
Inputs
(-.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 -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))
Outputs
(-.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 -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))

eval230.0ms (1.9%)

Compiler

Compiled 6930 to 4888 computations (29.5% saved)

prune82.0ms (0.7%)

Pruning

16 alts after pruning (5 fresh and 11 done)

PrunedKeptTotal
New4663469
Fresh325
Picked011
Done01010
Total46916485
Error
0b
Counts
485 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
26.4b
(-.f64 (+.f64 1 (fma.f64 (/.f64 -1 (*.f64 y x)) y x)) 1)
✓26.4b
(fma.f64 (/.f64 -1 (*.f64 y x)) y x)
18.6b
x
✓53.8b
(/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563))
✓23.0b
(-.f64 x (/.f64 1 x))
✓53.7b
(/.f64 -1 x)
✓35.4b
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (-.f64 (+.f64 (*.f64 z (*.f64 z 1/2)) 1) z))) x)
✓54.3b
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 z (*.f64 z -1/2)) z))))
✓53.9b
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))
53.9b
(+.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 -5000000000000000/5641895835477563 (*.f64 z y)))
✓53.9b
(*.f64 5000000000000000/5641895835477563 y)
✓25.9b
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x)
✓11.9b
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)
✓25.9b
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
53.9b
(/.f64 y 5641895835477563/5000000000000000)
36.9b
(+.f64 (*.f64 5000000000000000/5641895835477563 (-.f64 y (*.f64 z (-.f64 y (*.f64 z (+.f64 (*.f64 y 1/2) (*.f64 z (*.f64 y -1/6)))))))) x)
Compiler

Compiled 175 to 129 computations (26.3% saved)

regimes91.0ms (0.8%)

Counts
30 → 1
Calls
Call 1
Inputs
x
x
(/.f64 y 5641895835477563/5000000000000000)
(*.f64 5000000000000000/5641895835477563 y)
(/.f64 -1 x)
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(-.f64 x (/.f64 1 x))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 -5000000000000000/5641895835477563 (*.f64 z y)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (-.f64 y (*.f64 y z))) x)
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 z (*.f64 z -1/2)) z))))
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (-.f64 (+.f64 (*.f64 z (*.f64 z 1/2)) 1) z))) x)
(+.f64 x (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (-.f64 y (*.f64 z (-.f64 y (*.f64 z (+.f64 (*.f64 y 1/2) (*.f64 z (*.f64 y -1/6)))))))) x)
(/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563))
(fma.f64 (/.f64 -1 (*.f64 y x)) y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 x (/.f64 -1 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z))))
(-.f64 (+.f64 1 (fma.f64 (/.f64 -1 (*.f64 y x)) y x)) 1)
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
(fma.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y x)
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (fma.f64 x x (+.f64 1 (pow.f64 x -2))))
(/.f64 (fma.f64 -1 (pow.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x) -3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x) -2) (-.f64 (*.f64 x x) (/.f64 x (neg.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))))))
Outputs
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
Calls

7 calls:

18.0ms
y
17.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
17.0ms
z
15.0ms
x
6.0ms
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
0.0b1(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
0.0b1(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
0.0b1(exp.f64 z)
Compiler

Compiled 347 to 215 computations (38% saved)

regimes114.0ms (1%)

Counts
26 → 3
Calls
Call 1
Inputs
x
x
(/.f64 y 5641895835477563/5000000000000000)
(*.f64 5000000000000000/5641895835477563 y)
(/.f64 -1 x)
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(-.f64 x (/.f64 1 x))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 -5000000000000000/5641895835477563 (*.f64 z y)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (-.f64 y (*.f64 y z))) x)
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 z (*.f64 z -1/2)) z))))
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (-.f64 (+.f64 (*.f64 z (*.f64 z 1/2)) 1) z))) x)
(+.f64 x (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (-.f64 y (*.f64 z (-.f64 y (*.f64 z (+.f64 (*.f64 y 1/2) (*.f64 z (*.f64 y -1/6)))))))) x)
(/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563))
(fma.f64 (/.f64 -1 (*.f64 y x)) y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 x (/.f64 -1 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z))))
(-.f64 (+.f64 1 (fma.f64 (/.f64 -1 (*.f64 y x)) y x)) 1)
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
Outputs
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
x
Calls

6 calls:

38.0ms
z
25.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
13.0ms
x
13.0ms
y
8.0ms
(exp.f64 z)
Results
ErrorSegmentsBranch
4.3b1x
4.3b1y
0.0b3z
1.3b2(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
0.0b3(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
0.0b3(exp.f64 z)
Compiler

Compiled 261 to 164 computations (37.2% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000116476682082
+inf
0.0ms
0.0
0.30344209546189604
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes131.0ms (1.1%)

Counts
25 → 3
Calls
Call 1
Inputs
x
x
(/.f64 y 5641895835477563/5000000000000000)
(*.f64 5000000000000000/5641895835477563 y)
(/.f64 -1 x)
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(-.f64 x (/.f64 1 x))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 -5000000000000000/5641895835477563 (*.f64 z y)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (-.f64 y (*.f64 y z))) x)
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 z (*.f64 z -1/2)) z))))
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (-.f64 (+.f64 (*.f64 z (*.f64 z 1/2)) 1) z))) x)
(+.f64 x (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (-.f64 y (*.f64 z (-.f64 y (*.f64 z (+.f64 (*.f64 y 1/2) (*.f64 z (*.f64 y -1/6)))))))) x)
(/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563))
(fma.f64 (/.f64 -1 (*.f64 y x)) y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 x (/.f64 -1 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z))))
(-.f64 (+.f64 1 (fma.f64 (/.f64 -1 (*.f64 y x)) y x)) 1)
Outputs
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
x
Calls

5 calls:

57.0ms
x
36.0ms
z
13.0ms
y
9.0ms
(exp.f64 z)
7.0ms
(exp.f64 z)
Results
ErrorSegmentsBranch
6.6b3x
11.2b1y
0.2b3z
0.2b3(exp.f64 z)
0.2b3(exp.f64 z)
Compiler

Compiled 232 to 146 computations (37.1% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000116476682082
+inf
0.0ms
0.0
0.30344209546189604
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes194.0ms (1.6%)

Counts
16 → 3
Calls
Call 1
Inputs
x
x
(/.f64 y 5641895835477563/5000000000000000)
(*.f64 5000000000000000/5641895835477563 y)
(/.f64 -1 x)
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(-.f64 x (/.f64 1 x))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 -5000000000000000/5641895835477563 (*.f64 z y)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (-.f64 y (*.f64 y z))) x)
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 z (*.f64 z -1/2)) z))))
Outputs
(-.f64 x (/.f64 1 x))
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)
x
Calls

3 calls:

86.0ms
x
51.0ms
z
49.0ms
y
Results
ErrorSegmentsBranch
10.0b3x
10.5b3y
0.3b3z
Compiler

Compiled 112 to 72 computations (35.7% saved)

bsearch274.0ms (2.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
52.0ms
1.1647600374701823e-5
606894.6518058482
222.0ms
-2219852834.788476
-33095.86382076447
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes195.0ms (1.6%)

Counts
14 → 3
Calls
Call 1
Inputs
x
x
(/.f64 y 5641895835477563/5000000000000000)
(*.f64 5000000000000000/5641895835477563 y)
(/.f64 -1 x)
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(-.f64 x (/.f64 1 x))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 -5000000000000000/5641895835477563 (*.f64 z y)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (-.f64 y (*.f64 y z))) x)
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
Outputs
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
x
Calls

3 calls:

79.0ms
x
57.0ms
z
50.0ms
y
Results
ErrorSegmentsBranch
10.0b3x
10.5b3y
0.3b3z
Compiler

Compiled 90 to 58 computations (35.6% saved)

bsearch134.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
85.0ms
1.1647600374701823e-5
606894.6518058482
48.0ms
-2219852834.788476
-33095.86382076447
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes278.0ms (2.3%)

Counts
13 → 3
Calls
Call 1
Inputs
x
x
(/.f64 y 5641895835477563/5000000000000000)
(*.f64 5000000000000000/5641895835477563 y)
(/.f64 -1 x)
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(-.f64 x (/.f64 1 x))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 -5000000000000000/5641895835477563 (*.f64 z y)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (-.f64 y (*.f64 y z))) x)
Outputs
(-.f64 x (/.f64 1 x))
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x)
x
Calls

3 calls:

156.0ms
x
66.0ms
y
49.0ms
z
Results
ErrorSegmentsBranch
10.7b7x
14.4b3y
7.4b3z
Compiler

Compiled 81 to 52 computations (35.8% saved)

bsearch103.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
57.0ms
5.662977502530943e-42
4.874829002390336e-33
45.0ms
-1.3418398958518488e-21
-2.994381464941496e-28
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes228.0ms (1.9%)

Counts
7 → 8
Calls
Call 1
Inputs
x
x
(/.f64 y 5641895835477563/5000000000000000)
(*.f64 5000000000000000/5641895835477563 y)
(/.f64 -1 x)
(+.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 5000000000000000/5641895835477563 y)
x
Calls

3 calls:

125.0ms
x
63.0ms
y
36.0ms
z
Results
ErrorSegmentsBranch
11.1b8x
14.3b5y
14.0b3z
Compiler

Compiled 36 to 24 computations (33.3% saved)

bsearch230.0ms (1.9%)

Algorithm
7×binary-search
Steps
TimeLeftRight
27.0ms
1.0143727352669685e-144
1.7543441198686378e-115
27.0ms
1.7201879346104073e-176
2.309322687508709e-175
24.0ms
1.0116244545429168e-242
7.328569708526276e-242
26.0ms
-2.968297852353123e-166
-6.741991856148954e-181
25.0ms
-4.612393584306038e-114
-3.481434043659965e-119
44.0ms
-1.5825671657737962e-75
-8.479832734315552e-76
57.0ms
-101.39954436873411
-2.8445828011975507e-8
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes55.0ms (0.5%)

Counts
5 → 9
Calls
Call 1
Inputs
x
x
(/.f64 y 5641895835477563/5000000000000000)
(*.f64 5000000000000000/5641895835477563 y)
(/.f64 -1 x)
Outputs
x
(/.f64 -1 x)
x
(/.f64 -1 x)
x
(/.f64 y 5641895835477563/5000000000000000)
x
(*.f64 5000000000000000/5641895835477563 y)
x
Calls

3 calls:

36.0ms
x
12.0ms
z
5.0ms
y
Results
ErrorSegmentsBranch
11.9b9x
18.6b1y
17.2b3z
Compiler

Compiled 26 to 18 computations (30.8% saved)

bsearch260.0ms (2.2%)

Algorithm
8×binary-search
Steps
TimeLeftRight
57.0ms
1.0143727352669685e-144
1.7543441198686378e-115
23.0ms
1.7201879346104073e-176
2.309322687508709e-175
60.0ms
1.0116244545429168e-242
7.328569708526276e-242
27.0ms
-6.100750298429679e-245
-4.6042298299199985e-247
24.0ms
-2.968297852353123e-166
-6.741991856148954e-181
23.0ms
-4.612393584306038e-114
-3.481434043659965e-119
23.0ms
-1.2317180795851559e-82
-1.025920513823396e-82
23.0ms
-101.39954436873411
-2.8445828011975507e-8
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes39.0ms (0.3%)

Counts
4 → 5
Calls
Call 1
Inputs
x
x
(/.f64 y 5641895835477563/5000000000000000)
(*.f64 5000000000000000/5641895835477563 y)
Outputs
x
(/.f64 y 5641895835477563/5000000000000000)
x
(*.f64 5000000000000000/5641895835477563 y)
x
Calls

3 calls:

22.0ms
x
11.0ms
z
4.0ms
y
Results
ErrorSegmentsBranch
14.6b5x
18.6b1y
17.2b3z
Compiler

Compiled 23 to 16 computations (30.4% saved)

bsearch184.0ms (1.5%)

Algorithm
4×binary-search
Steps
TimeLeftRight
43.0ms
1.0143727352669685e-144
1.7543441198686378e-115
45.0ms
1.7201879346104073e-176
2.309322687508709e-175
71.0ms
1.0116244545429168e-242
7.328569708526276e-242
24.0ms
-6.100750298429679e-245
-4.6042298299199985e-247
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes69.0ms (0.6%)

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

3 calls:

48.0ms
z
16.0ms
x
3.0ms
y
Results
ErrorSegmentsBranch
14.6b5x
18.6b1y
17.2b3z
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch155.0ms (1.3%)

Algorithm
4×binary-search
Steps
TimeLeftRight
24.0ms
1.0143727352669685e-144
1.7543441198686378e-115
86.0ms
1.7201879346104073e-176
2.309322687508709e-175
23.0ms
1.0116244545429168e-242
7.328569708526276e-242
22.0ms
-6.100750298429679e-245
-4.6042298299199985e-247
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

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

3 calls:

3.0ms
x
3.0ms
y
3.0ms
z
Results
ErrorSegmentsBranch
18.6b1x
18.6b1y
18.6b1z
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify23.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
16×+-commutative_binary64
8×*-commutative_binary64
8×sub-neg_binary64
6×cancel-sign-sub-inv_binary64
4×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095405
1123405
2142405
3150405
4154405
Stop Event
1×fuel
1×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)) (if (<=.f64 (exp.f64 z) 2) (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) x))
(if (<=.f64 (exp.f64 z) 0) (-.f64 x (/.f64 1 x)) (if (<=.f64 (exp.f64 z) 2) (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) x))
(if (<=.f64 z -2327684406091161/1048576) (-.f64 x (/.f64 1 x)) (if (<=.f64 z 26857537898121/2305843009213693952) (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) x))
(if (<=.f64 z -2327684406091161/1048576) (-.f64 x (/.f64 1 x)) (if (<=.f64 z 26857537898121/2305843009213693952) (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) x))
(if (<=.f64 z -7134444621709573/5316911983139663491615228241121378304) (-.f64 x (/.f64 1 x)) (if (<=.f64 z 4443385738574089/784637716923335095479473677900958302012794430558004314112) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) x))
(if (<=.f64 x -7135358597415141/70368744177664) x (if (<=.f64 x -6447492503293851/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (/.f64 -1 x) (if (<=.f64 x -1598580488570329/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) (if (<=.f64 x -615849907570765/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 -1 x) (if (<=.f64 x 4860664074823247/480481077043500814718154092512592439123952613987168226347385561008808420007630829308634252709141208374307457227821149607627692202643343568752733498024953930242542523045817764949544214392905306388478705146745768073877141698859815495632935288783334250628775936) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) (if (<=.f64 x 4905159564256347/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736) x (if (<=.f64 x 7130586705470435/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (*.f64 5000000000000000/5641895835477563 y) x)))))))
(if (<=.f64 x -7135358597415141/70368744177664) x (if (<=.f64 x -8418988319690537/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (/.f64 -1 x) (if (<=.f64 x -1598580488570329/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) x (if (<=.f64 x -615849907570765/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 -1 x) (if (<=.f64 x -7504115389857155/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) x (if (<=.f64 x 4860664074823247/480481077043500814718154092512592439123952613987168226347385561008808420007630829308634252709141208374307457227821149607627692202643343568752733498024953930242542523045817764949544214392905306388478705146745768073877141698859815495632935288783334250628775936) (/.f64 y 5641895835477563/5000000000000000) (if (<=.f64 x 4905159564256347/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736) x (if (<=.f64 x 7130586705470435/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (*.f64 5000000000000000/5641895835477563 y) x))))))))
(if (<=.f64 x -7504115389857155/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) x (if (<=.f64 x 4860664074823247/480481077043500814718154092512592439123952613987168226347385561008808420007630829308634252709141208374307457227821149607627692202643343568752733498024953930242542523045817764949544214392905306388478705146745768073877141698859815495632935288783334250628775936) (/.f64 y 5641895835477563/5000000000000000) (if (<=.f64 x 4905159564256347/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736) x (if (<=.f64 x 7130586705470435/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (*.f64 5000000000000000/5641895835477563 y) x))))
(if (<=.f64 x -7504115389857155/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) x (if (<=.f64 x 4860664074823247/480481077043500814718154092512592439123952613987168226347385561008808420007630829308634252709141208374307457227821149607627692202643343568752733498024953930242542523045817764949544214392905306388478705146745768073877141698859815495632935288783334250628775936) (/.f64 y 5641895835477563/5000000000000000) (if (<=.f64 x 4905159564256347/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736) x (if (<=.f64 x 7130586705470435/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (/.f64 y 5641895835477563/5000000000000000) 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)) (if (<=.f64 (exp.f64 z) 2) (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) x))
(if (<=.f64 (exp.f64 z) 0) (-.f64 x (/.f64 1 x)) (if (<=.f64 (exp.f64 z) 2) (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 x y)))) x))
(if (<=.f64 (exp.f64 z) 0) (-.f64 x (/.f64 1 x)) (if (<=.f64 (exp.f64 z) 2) (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) x))
(if (<=.f64 (exp.f64 z) 0) (-.f64 x (/.f64 1 x)) (if (<=.f64 (exp.f64 z) 2) (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000)) (*.f64 x y)))) x))
(if (<=.f64 z -2327684406091161/1048576) (-.f64 x (/.f64 1 x)) (if (<=.f64 z 26857537898121/2305843009213693952) (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) x))
(if (<=.f64 z -2327684406091161/1048576) (-.f64 x (/.f64 1 x)) (if (<=.f64 z 26857537898121/2305843009213693952) (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 x y)))) x))
(if (<=.f64 z -2327684406091161/1048576) (-.f64 x (/.f64 1 x)) (if (<=.f64 z 26857537898121/2305843009213693952) (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) x))
(if (<=.f64 z -7134444621709573/5316911983139663491615228241121378304) (-.f64 x (/.f64 1 x)) (if (<=.f64 z 4443385738574089/784637716923335095479473677900958302012794430558004314112) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) x))
(if (<=.f64 z -7134444621709573/5316911983139663491615228241121378304) (-.f64 x (/.f64 1 x)) (if (<=.f64 z 4443385738574089/784637716923335095479473677900958302012794430558004314112) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x))
(if (<=.f64 x -7135358597415141/70368744177664) x (if (<=.f64 x -6447492503293851/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (/.f64 -1 x) (if (<=.f64 x -1598580488570329/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) (if (<=.f64 x -615849907570765/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 -1 x) (if (<=.f64 x 4860664074823247/480481077043500814718154092512592439123952613987168226347385561008808420007630829308634252709141208374307457227821149607627692202643343568752733498024953930242542523045817764949544214392905306388478705146745768073877141698859815495632935288783334250628775936) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) (if (<=.f64 x 4905159564256347/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736) x (if (<=.f64 x 7130586705470435/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (*.f64 5000000000000000/5641895835477563 y) x)))))))
(if (<=.f64 x -7135358597415141/70368744177664) x (if (<=.f64 x -6447492503293851/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (/.f64 -1 x) (if (<=.f64 x -1598580488570329/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 x -615849907570765/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 -1 x) (if (<=.f64 x 4860664074823247/480481077043500814718154092512592439123952613987168226347385561008808420007630829308634252709141208374307457227821149607627692202643343568752733498024953930242542523045817764949544214392905306388478705146745768073877141698859815495632935288783334250628775936) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 x 4905159564256347/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736) x (if (<=.f64 x 7130586705470435/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (*.f64 y 5000000000000000/5641895835477563) x)))))))
(if (<=.f64 x -7135358597415141/70368744177664) x (if (<=.f64 x -8418988319690537/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (/.f64 -1 x) (if (<=.f64 x -1598580488570329/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) x (if (<=.f64 x -615849907570765/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 -1 x) (if (<=.f64 x -7504115389857155/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) x (if (<=.f64 x 4860664074823247/480481077043500814718154092512592439123952613987168226347385561008808420007630829308634252709141208374307457227821149607627692202643343568752733498024953930242542523045817764949544214392905306388478705146745768073877141698859815495632935288783334250628775936) (/.f64 y 5641895835477563/5000000000000000) (if (<=.f64 x 4905159564256347/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736) x (if (<=.f64 x 7130586705470435/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (*.f64 5000000000000000/5641895835477563 y) x))))))))
(if (<=.f64 x -7135358597415141/70368744177664) x (if (<=.f64 x -8418988319690537/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (/.f64 -1 x) (if (<=.f64 x -1598580488570329/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) x (if (<=.f64 x -615849907570765/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 -1 x) (if (<=.f64 x -7504115389857155/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) x (if (<=.f64 x 4860664074823247/480481077043500814718154092512592439123952613987168226347385561008808420007630829308634252709141208374307457227821149607627692202643343568752733498024953930242542523045817764949544214392905306388478705146745768073877141698859815495632935288783334250628775936) (/.f64 y 5641895835477563/5000000000000000) (if (<=.f64 x 4905159564256347/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736) x (if (<=.f64 x 7130586705470435/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (*.f64 y 5000000000000000/5641895835477563) x))))))))
(if (<=.f64 x -7504115389857155/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) x (if (<=.f64 x 4860664074823247/480481077043500814718154092512592439123952613987168226347385561008808420007630829308634252709141208374307457227821149607627692202643343568752733498024953930242542523045817764949544214392905306388478705146745768073877141698859815495632935288783334250628775936) (/.f64 y 5641895835477563/5000000000000000) (if (<=.f64 x 4905159564256347/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736) x (if (<=.f64 x 7130586705470435/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (*.f64 5000000000000000/5641895835477563 y) x))))
(if (<=.f64 x -7504115389857155/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) x (if (<=.f64 x 4860664074823247/480481077043500814718154092512592439123952613987168226347385561008808420007630829308634252709141208374307457227821149607627692202643343568752733498024953930242542523045817764949544214392905306388478705146745768073877141698859815495632935288783334250628775936) (/.f64 y 5641895835477563/5000000000000000) (if (<=.f64 x 4905159564256347/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736) x (if (<=.f64 x 7130586705470435/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (*.f64 y 5000000000000000/5641895835477563) x))))
(if (<=.f64 x -7504115389857155/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) x (if (<=.f64 x 4860664074823247/480481077043500814718154092512592439123952613987168226347385561008808420007630829308634252709141208374307457227821149607627692202643343568752733498024953930242542523045817764949544214392905306388478705146745768073877141698859815495632935288783334250628775936) (/.f64 y 5641895835477563/5000000000000000) (if (<=.f64 x 4905159564256347/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736) x (if (<=.f64 x 7130586705470435/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (/.f64 y 5641895835477563/5000000000000000) x))))
x
Compiler

Compiled 316 to 212 computations (32.9% saved)

soundness457.0ms (3.8%)

Algorithm
1×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
1×node limit
Compiler

Compiled 837 to 620 computations (25.9% saved)

end251.0ms (2.1%)

Compiler

Compiled 286 to 178 computations (37.8% saved)

Profiling

Loading profile data...