Details

Time bar (total: 6.1s)

analyze786.0ms (12.9%)

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

Compiled 16 to 11 computations (31.3% saved)

sample1.3s (21%)

Results
1.3s8256×body128valid
Compiler

Compiled 32 to 22 computations (31.3% saved)

preprocess49.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 15 to 10 computations (33.3% saved)

simplify35.0ms (0.6%)

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

Useful iterations: 9 (0.0ms)

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

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.1b
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
2.8b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 84 to 56 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series41.0ms (0.7%)

Counts
4 → 112
Calls

33 calls:

TimeVariablePointExpression
18.0ms
y
@inf
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))
2.0ms
z
@0
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
2.0ms
z
@0
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))
1.0ms
y
@0
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))
1.0ms
z
@-inf
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))

rewrite65.0ms (1.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
123345
2308345
Stop Event
node limit
Counts
4 → 115
Calls
Call 1
Inputs
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))
(/.f64 (exp.f64 z) y)
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) (pow.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 2) (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) (-.f64 (*.f64 x x) (*.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) (*.f64 x x)) (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))
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simplify123.0ms (2%)

Algorithm
egg-herbie
Rules
713×associate-/l*_binary64
622×associate-/r*_binary64
497×fma-def_binary64
150×distribute-rgt-in_binary64
133×distribute-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01532813
14672793
216992634
Stop Event
node limit
Counts
227 → 185
Calls
Call 1
Inputs
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y)) (*.f64 5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y))))))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))
x
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))
x
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))
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(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))
x
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x
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(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
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(/.f64 -1 x)
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(/.f64 -1 x)
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(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
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(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))))
(/.f64 -1 x)
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(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))))
(/.f64 1 y)
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(+.f64 (/.f64 z y) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 z 2) y))))
(+.f64 (/.f64 z y) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 z 3) y)) (*.f64 1/2 (/.f64 (pow.f64 z 2) y)))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (*.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))) x))
(+.f64 (*.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))) x)))
(+.f64 (*.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))) x))))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 x (+.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 x (+.f64 (*.f64 5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))))))
(-.f64 x (+.f64 (*.f64 5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (+.f64 (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 4)))))))))))
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))))
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))))
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))))
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))))
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))))
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))))
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))))
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.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))) x))
(+.f64 (*.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))) x)))
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))))
(-.f64 x (/.f64 1 x))
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(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))))
Outputs
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))
(-.f64 x (fma.f64 5641895835477563/5000000000000000 (/.f64 z y) (/.f64 5641895835477563/5000000000000000 y)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)))))
(-.f64 x (+.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z y) (/.f64 5641895835477563/5000000000000000 y)) (*.f64 5641895835477563/10000000000000000 (/.f64 (*.f64 z z) y))))
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(-.f64 x (/.f64 1 (+.f64 x (*.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000))))
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(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))))
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(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))))
(-.f64 x (/.f64 1 (+.f64 x (*.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000))))
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(+.f64 x (/.f64 -1 (fma.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000 x)))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
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(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (exp.f64 z) 2) x)) x))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 x (/.f64 (pow.f64 (exp.f64 z) 2) y)) y) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x))
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(fma.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 x (*.f64 x (pow.f64 y 3))) (pow.f64 (exp.f64 z) 3)) x)))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 x (/.f64 (pow.f64 (exp.f64 z) 2) y)) y) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 z) y) 3)) x)))
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(-.f64 x (fma.f64 5641895835477563/5000000000000000 (/.f64 (/.f64 (exp.f64 z) y) (*.f64 x x)) (/.f64 1 x)))
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(-.f64 x (+.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 1 x)) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(-.f64 x (fma.f64 5641895835477563/5000000000000000 (/.f64 (/.f64 (exp.f64 z) y) (*.f64 x x)) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 1 x))))
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prune1.6s (26.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1832185
Fresh011
Picked011
Done000
Total1834187
Error
0b
Counts
187 → 4
Alt Table
StatusErrorProgram
0.4b
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 2) (cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) x)
33.2b
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 x (/.f64 (pow.f64 (exp.f64 z) 2) y)) y) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x))
0.1b
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
2.8b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 4212 to 2476 computations (41.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
0.1b
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 2) (cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) x)
0.4b
(pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 2)
0.7b
(cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))

series168.0ms (2.8%)

Counts
3 → 77
Calls

27 calls:

TimeVariablePointExpression
17.0ms
x
@0
(pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 2)
14.0ms
x
@0
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 2) (cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) x)
14.0ms
y
@-inf
(pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 2)
14.0ms
x
@0
(cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
14.0ms
x
@inf
(cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))

rewrite69.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
241×prod-diff_binary64
237×expm1-udef_binary64
237×log1p-udef_binary64
203×log-pow_binary64
137×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01449
128649
2328549
Stop Event
node limit
Counts
3 → 81
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
(pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 2) (cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (cbrt.f64 (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) (pow.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 2) (cbrt.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 1/6) (pow.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -1 1/3) (pow.f64 (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 1/3) (pow.f64 (sqrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (*.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (neg.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 2) (cbrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 2) (*.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 4)) (pow.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 1/6) (*.f64 (pow.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 1/6) (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) (pow.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) (pow.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 2)) (cbrt.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) -1) (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 2) (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) (sqrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 3) (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 2)) (-.f64 (*.f64 x x) (*.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 2)) (*.f64 x x)) (-.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (exp.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))))

simplify145.0ms (2.4%)

Algorithm
egg-herbie
Rules
453×fma-def_binary64
444×associate-*l*_binary64
259×times-frac_binary64
239×sqr-pow_binary64
231×associate-/r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05736470
117976406
Stop Event
node limit
Counts
158 → 160
Calls
Call 1
Inputs
(*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) 1/3))
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(-.f64 (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -5000000000000000/5641895835477563) 4) 1/3) (*.f64 (pow.f64 (/.f64 (pow.f64 y 22) (pow.f64 (exp.f64 z) 22)) 1/9) x))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/9118906527810400273773617509065042994486829708772240393807206649 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -5000000000000000/5641895835477563)) 1/3) (*.f64 (pow.f64 (/.f64 (pow.f64 y 35) (pow.f64 (exp.f64 z) 35)) 1/9) (pow.f64 x 2)))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.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 x (*.f64 31250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/2612374289089158986545040328109041004217628289223358770857783457868891343225891581540468178723929 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -5000000000000000/5641895835477563) 2)) (pow.f64 (/.f64 (pow.f64 y 16) (pow.f64 (exp.f64 z) 16)) 1/3))))))))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/9118906527810400273773617509065042994486829708772240393807206649 (*.f64 (pow.f64 (/.f64 (pow.f64 y 35) (pow.f64 (exp.f64 z) 35)) 1/9) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -5000000000000000/5641895835477563)) 1/3) (pow.f64 x 2)))) (+.f64 (*.f64 31250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/870791429696386328848346776036347001405876096407786256952594485956297114408630527180156059574643 (*.f64 (pow.f64 (/.f64 (pow.f64 y 16) (pow.f64 (exp.f64 z) 16)) 1/3) (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -5000000000000000/5641895835477563) 2)))) (*.f64 12500000000000000000000000000000000000000000000000000000000000000000000000000000/463031286870263951991842554888991618218555214614672319078850327826486421495247483 (*.f64 (pow.f64 (/.f64 (pow.f64 y 16) (pow.f64 (exp.f64 z) 16)) 1/3) (*.f64 (cbrt.f64 -5000000000000000/5641895835477563) (pow.f64 x 3)))))))
x
x
x
x
Outputs
(*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) 1/3))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))
(+.f64 (*.f64 5641895835477563/15000000000000000 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1) z) y) (pow.f64 (/.f64 1 (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 16)) 1/9))) (*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) 1/3)))
(fma.f64 5641895835477563/15000000000000000 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1) z) y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 16)) 1/18))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))))
(fma.f64 5641895835477563/15000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 16)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 16)) 1/18) (*.f64 (/.f64 (cbrt.f64 -1) y) z))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))
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(+.f64 (fma.f64 5641895835477563/15000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 16)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 16)) 1/18) (*.f64 (/.f64 (cbrt.f64 -1) y) z))) (fma.f64 31830988618379068626528276418969/75000000000000000000000000000000 (*.f64 (*.f64 (/.f64 z (/.f64 y z)) (/.f64 (cbrt.f64 -1) y)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 7)))) (fma.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 4))) (*.f64 (/.f64 (cbrt.f64 -1) (/.f64 y (*.f64 z z))) 5641895835477563/30000000000000000))))) (*.f64 (*.f64 (*.f64 (/.f64 z (/.f64 y z)) (/.f64 (cbrt.f64 -1) y)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 29)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 29)) 1/18))) -31830988618379068626528276418969/225000000000000000000000000000000))
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(-.f64 (fma.f64 179587122125166574152748016388400639365587092547/2025000000000000000000000000000000000000000000000 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1) (pow.f64 z 3)) (pow.f64 y 3)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 14)))) (fma.f64 179587122125166574152748016388400639365587092547/375000000000000000000000000000000000000000000000 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1) (pow.f64 z 3)) (pow.f64 y 3)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 10)))) (fma.f64 5641895835477563/90000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 4))) (/.f64 (cbrt.f64 -1) (/.f64 y (pow.f64 z 3)))) (fma.f64 5641895835477563/15000000000000000 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1) z) y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 16)) 1/18))) (fma.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) (fma.f64 31830988618379068626528276418969/75000000000000000000000000000000 (*.f64 (/.f64 (cbrt.f64 -1) (/.f64 (*.f64 y y) (*.f64 z z))) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 7)))) (fma.f64 5641895835477563/30000000000000000 (*.f64 (/.f64 (cbrt.f64 -1) (/.f64 y (*.f64 z z))) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 4)))) (*.f64 (*.f64 31830988618379068626528276418969/75000000000000000000000000000000 (/.f64 (*.f64 (cbrt.f64 -1) (pow.f64 z 3)) (*.f64 y y))) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 7))))))))))) (fma.f64 179587122125166574152748016388400639365587092547/562500000000000000000000000000000000000000000000 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1) (pow.f64 z 3)) (pow.f64 y 3)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 34)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 34)) 1/18))) (*.f64 31830988618379068626528276418969/225000000000000000000000000000000 (+.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1) (pow.f64 z 3)) (*.f64 y y)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 25)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 25)) 1/18))) (*.f64 (/.f64 (cbrt.f64 -1) (/.f64 (*.f64 y y) (*.f64 z z))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 29)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 29)) 1/18)))))))
(-.f64 (fma.f64 179587122125166574152748016388400639365587092547/2025000000000000000000000000000000000000000000000 (*.f64 (*.f64 (/.f64 (cbrt.f64 -1) (pow.f64 y 3)) (pow.f64 z 3)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 14)))) (fma.f64 179587122125166574152748016388400639365587092547/375000000000000000000000000000000000000000000000 (*.f64 (*.f64 (/.f64 (cbrt.f64 -1) (pow.f64 y 3)) (pow.f64 z 3)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 10)))) (fma.f64 5641895835477563/90000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 4))) (/.f64 (cbrt.f64 -1) (/.f64 y (pow.f64 z 3)))) (fma.f64 5641895835477563/15000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 16)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 16)) 1/18) (*.f64 (/.f64 (cbrt.f64 -1) y) z))) (fma.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (fma.f64 31830988618379068626528276418969/75000000000000000000000000000000 (*.f64 (*.f64 (/.f64 z (/.f64 y z)) (/.f64 (cbrt.f64 -1) y)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 7)))) (fma.f64 31830988618379068626528276418969/75000000000000000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 7))) (/.f64 (*.f64 (cbrt.f64 -1) (pow.f64 z 3)) (*.f64 y y))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 4))) (*.f64 (/.f64 (cbrt.f64 -1) (/.f64 y (*.f64 z z))) 5641895835477563/30000000000000000))))))))) (fma.f64 31830988618379068626528276418969/225000000000000000000000000000000 (fma.f64 (/.f64 (*.f64 (cbrt.f64 -1) (pow.f64 z 3)) (*.f64 y y)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 25)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 25)) 1/18)) (*.f64 (*.f64 (/.f64 z (/.f64 y z)) (/.f64 (cbrt.f64 -1) y)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 29)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 29)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 34)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 34)) 1/18)) (*.f64 (*.f64 (/.f64 (cbrt.f64 -1) (pow.f64 y 3)) (pow.f64 z 3)) 179587122125166574152748016388400639365587092547/562500000000000000000000000000000000000000000000))))
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(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (+.f64 x (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (+.f64 x (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) y)))))
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(*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))) 1/3))
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(-.f64 (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -5000000000000000/5641895835477563) 4) 1/3) (*.f64 (pow.f64 (/.f64 (pow.f64 y 22) (pow.f64 (exp.f64 z) 22)) 1/9) x))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/9118906527810400273773617509065042994486829708772240393807206649 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -5000000000000000/5641895835477563)) 1/3) (*.f64 (pow.f64 (/.f64 (pow.f64 y 35) (pow.f64 (exp.f64 z) 35)) 1/9) (pow.f64 x 2)))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.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 x (*.f64 31250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/2612374289089158986545040328109041004217628289223358770857783457868891343225891581540468178723929 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -5000000000000000/5641895835477563) 2)) (pow.f64 (/.f64 (pow.f64 y 16) (pow.f64 (exp.f64 z) 16)) 1/3))))))))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/9118906527810400273773617509065042994486829708772240393807206649 (*.f64 (pow.f64 (/.f64 (pow.f64 y 35) (pow.f64 (exp.f64 z) 35)) 1/9) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -5000000000000000/5641895835477563)) 1/3) (pow.f64 x 2)))) (+.f64 (*.f64 31250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/870791429696386328848346776036347001405876096407786256952594485956297114408630527180156059574643 (*.f64 (pow.f64 (/.f64 (pow.f64 y 16) (pow.f64 (exp.f64 z) 16)) 1/3) (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -5000000000000000/5641895835477563) 2)))) (*.f64 12500000000000000000000000000000000000000000000000000000000000000000000000000000/463031286870263951991842554888991618218555214614672319078850327826486421495247483 (*.f64 (pow.f64 (/.f64 (pow.f64 y 16) (pow.f64 (exp.f64 z) 16)) 1/3) (*.f64 (cbrt.f64 -5000000000000000/5641895835477563) (pow.f64 x 3)))))))
(-.f64 (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -5000000000000000/5641895835477563) 4)) (*.f64 x (*.f64 (pow.f64 (/.f64 (pow.f64 y 22) (pow.f64 (exp.f64 z) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 y 22) (pow.f64 (exp.f64 z) 22)) 1/18)))) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/9118906527810400273773617509065042994486829708772240393807206649 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -5000000000000000/5641895835477563))) (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 (pow.f64 y 35) (pow.f64 (exp.f64 z) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 y 35) (pow.f64 (exp.f64 z) 35)) 1/18)))) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 (exp.f64 z) 4) (pow.f64 x 3))) (+.f64 (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 x x))) x) (*.f64 31250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/2612374289089158986545040328109041004217628289223358770857783457868891343225891581540468178723929 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -5000000000000000/5641895835477563) 2)) (cbrt.f64 (/.f64 (pow.f64 y 16) (pow.f64 (exp.f64 z) 16)))))))))) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/9118906527810400273773617509065042994486829708772240393807206649 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 y 35) (pow.f64 (exp.f64 z) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 y 35) (pow.f64 (exp.f64 z) 35)) 1/18)) (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (cbrt.f64 -5000000000000000/5641895835477563))))) (fma.f64 31250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/870791429696386328848346776036347001405876096407786256952594485956297114408630527180156059574643 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -5000000000000000/5641895835477563) 2)) (cbrt.f64 (/.f64 (pow.f64 y 16) (pow.f64 (exp.f64 z) 16)))) (*.f64 12500000000000000000000000000000000000000000000000000000000000000000000000000000/463031286870263951991842554888991618218555214614672319078850327826486421495247483 (*.f64 (cbrt.f64 (/.f64 (pow.f64 y 16) (pow.f64 (exp.f64 z) 16))) (*.f64 (cbrt.f64 -5000000000000000/5641895835477563) (pow.f64 x 3)))))))
(-.f64 (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -5000000000000000/5641895835477563) 4)) (*.f64 (pow.f64 (/.f64 (pow.f64 y 22) (pow.f64 (exp.f64 z) 22)) 1/18) (*.f64 (pow.f64 (/.f64 (pow.f64 y 22) (pow.f64 (exp.f64 z) 22)) 1/18) x))) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/9118906527810400273773617509065042994486829708772240393807206649 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 y 35) (pow.f64 (exp.f64 z) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 y 35) (pow.f64 (exp.f64 z) 35)) 1/18)) (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (cbrt.f64 -5000000000000000/5641895835477563))))) (fma.f64 (/.f64 y (exp.f64 z)) 5000000000000000/5641895835477563 (fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) (pow.f64 x 3)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 x x))) (fma.f64 31250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/2612374289089158986545040328109041004217628289223358770857783457868891343225891581540468178723929 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -5000000000000000/5641895835477563) 2)) (cbrt.f64 (/.f64 (pow.f64 y 16) (pow.f64 (exp.f64 z) 16)))) x)))))) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/9118906527810400273773617509065042994486829708772240393807206649 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 y 35) (pow.f64 (exp.f64 z) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 y 35) (pow.f64 (exp.f64 z) 35)) 1/18)) (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (cbrt.f64 -5000000000000000/5641895835477563))))) (fma.f64 12500000000000000000000000000000000000000000000000000000000000000000000000000000/463031286870263951991842554888991618218555214614672319078850327826486421495247483 (*.f64 (cbrt.f64 -5000000000000000/5641895835477563) (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 (pow.f64 y 16) (pow.f64 (exp.f64 z) 16))))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 y 16) (pow.f64 (exp.f64 z) 16))) (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -5000000000000000/5641895835477563) 2)) 31250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/870791429696386328848346776036347001405876096407786256952594485956297114408630527180156059574643)))))
x
x
x
x

prune514.0ms (8.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2890289
Fresh022
Picked011
Done011
Total2894293
Error
0b
Counts
293 → 4
Alt Table
StatusErrorProgram
0.4b
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 2) (cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) x)
33.2b
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 x (/.f64 (pow.f64 (exp.f64 z) 2) y)) y) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x))
0.1b
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
2.8b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 14390 to 10060 computations (30.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
0.0b
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
0.4b
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))
9.8b
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))

series14.0ms (0.2%)

Counts
4 → 112
Calls

30 calls:

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

rewrite94.0ms (1.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01151
125251
2364351
Stop Event
node limit
Counts
4 → 242
Calls
Call 1
Inputs
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
Outputs
((#(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 z) (*.f64 y (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))) (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))) 2) (cbrt.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))) (sqrt.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) 2)) (/.f64 y (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) 2)) (cbrt.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))) (/.f64 y (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))) (/.f64 (cbrt.f64 y) (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (pow.f64 (*.f64 y x) 3))) (fma.f64 (*.f64 y x) (fma.f64 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x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))) (/.f64 (cbrt.f64 y) (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (-.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (pow.f64 (*.f64 y x) 3))) (fma.f64 (*.f64 y x) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)) (pow.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (-.f64 (pow.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) 2) (pow.f64 (*.f64 y x) 2))) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))))))))

simplify77.0ms (1.3%)

Algorithm
egg-herbie
Rules
635×associate-/l*_binary64
572×fma-def_binary64
524×associate-/r*_binary64
194×associate-*l/_binary64
157×associate-/r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01332764
14272744
215582629
Stop Event
node limit
Counts
354 → 315
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (*.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))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.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 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 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))))
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
(-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (*.f64 5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))))
(-.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (/.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 5641895835477563/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))
(-.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (/.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 (*.f64 5641895835477563/30000000000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (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 5641895835477563/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))))
(/.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 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (*.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))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.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 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 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))))
(-.f64 5641895835477563/5000000000000000 (*.f64 y x))
(-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))
(-.f64 (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y x))
(-.f64 (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.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 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(*.f64 -1 (*.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 -1 (*.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 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(*.f64 -1 (*.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 -1 (*.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))
5641895835477563/5000000000000000
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (*.f64 5641895835477563/5000000000000000 z)))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 5641895835477563/30000000000000000 (pow.f64 z 3)))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) x))
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x
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
x
(-.f64 x (/.f64 1 x))
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x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
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(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))))
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))))
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)
(-.f64 (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) (*.f64 5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))))
(-.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.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 5641895835477563/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))
(-.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.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 5641895835477563/30000000000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (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 5641895835477563/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))))
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)
Outputs
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x)) (pow.f64 (exp.f64 z) 2)))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x))) (pow.f64 (exp.f64 z) 2)))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 x (pow.f64 (exp.f64 z) 2)) (*.f64 y y))))
(+.f64 (*.f64 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 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3)))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (*.f64 y y) x) (pow.f64 (exp.f64 z) 2)) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 x x))))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2)) x) (/.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (*.f64 x x))))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 x (pow.f64 (exp.f64 z) 2)) (*.f64 y y)) (/.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (*.f64 x x)))))
(+.f64 (*.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 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (*.f64 y y) x) (pow.f64 (exp.f64 z) 2)) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 (exp.f64 z) 4) (pow.f64 x 3))) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 x x)))))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2)) x) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) (pow.f64 x 3)) (/.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (*.f64 x x)))))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 x (pow.f64 (exp.f64 z) 2)) (*.f64 y y)) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) (pow.f64 x 3)) (/.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (*.f64 x x))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(-.f64 (/.f64 -1 x) (*.f64 (/.f64 5641895835477563/5000000000000000 y) (/.f64 (exp.f64 z) (*.f64 x x))))
(fma.f64 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) -5641895835477563/5000000000000000 (/.f64 -1 x))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 1 x)) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(-.f64 (*.f64 (/.f64 (exp.f64 z) (*.f64 x (*.f64 y x))) -5641895835477563/5000000000000000) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (fma.f64 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) -5641895835477563/5000000000000000 (/.f64 -1 x)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y y)))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))))
(neg.f64 (+.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 1 x)) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 z) 3)) (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(-.f64 (-.f64 (/.f64 -1 x) (*.f64 (/.f64 5641895835477563/5000000000000000 y) (/.f64 (exp.f64 z) (*.f64 x x)))) (fma.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (*.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y y)))))
(-.f64 (fma.f64 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) -5641895835477563/5000000000000000 (/.f64 -1 x)) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (pow.f64 x 4)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(-.f64 (/.f64 -1 x) (*.f64 (/.f64 5641895835477563/5000000000000000 y) (/.f64 (exp.f64 z) (*.f64 x x))))
(fma.f64 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) -5641895835477563/5000000000000000 (/.f64 -1 x))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 1 x)) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(-.f64 (*.f64 (/.f64 (exp.f64 z) (*.f64 x (*.f64 y x))) -5641895835477563/5000000000000000) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (fma.f64 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) -5641895835477563/5000000000000000 (/.f64 -1 x)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y y)))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))))
(neg.f64 (+.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 1 x)) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 z) 3)) (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(-.f64 (-.f64 (/.f64 -1 x) (*.f64 (/.f64 5641895835477563/5000000000000000 y) (/.f64 (exp.f64 z) (*.f64 x x)))) (fma.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (*.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y y)))))
(-.f64 (fma.f64 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) -5641895835477563/5000000000000000 (/.f64 -1 x)) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (pow.f64 x 4)))))
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
(/.f64 y (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000))
(-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (*.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))) (/.f64 (*.f64 5641895835477563/5000000000000000 (*.f64 y z)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (*.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) z) -5641895835477563/5000000000000000))
(fma.f64 (/.f64 (*.f64 y z) (pow.f64 (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) 2)) -5641895835477563/5000000000000000 (/.f64 y (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000)))
(-.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (/.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 5641895835477563/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))
(-.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (*.f64 z z)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (fma.f64 5641895835477563/5000000000000000 (/.f64 y (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2) z)) (*.f64 5641895835477563/10000000000000000 (/.f64 (*.f64 y (*.f64 z z)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))
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(-.f64 x (+.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 1 x)) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(-.f64 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 (*.f64 y y) (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 x (fma.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 x 3)) (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 1 x))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))))
(-.f64 x (+.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 1 x)) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 z) 3)) (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(-.f64 (-.f64 x (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 y x))) (/.f64 1 x))) (fma.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (*.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y y)))))
(-.f64 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))) (fma.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (pow.f64 x 4)) (/.f64 1 x)))))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(-.f64 x (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 y x))) (/.f64 1 x)))
(+.f64 x (fma.f64 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) -5641895835477563/5000000000000000 (/.f64 -1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 1 x)) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(-.f64 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 (*.f64 y y) (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 x (fma.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 x 3)) (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 1 x))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))))
(-.f64 x (+.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 1 x)) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 z) 3)) (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(-.f64 (-.f64 x (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 y x))) (/.f64 1 x))) (fma.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (*.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y y)))))
(-.f64 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))) (fma.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (pow.f64 x 4)) (/.f64 1 x)))))
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000)))
(-.f64 (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) (*.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))) (-.f64 x (/.f64 (*.f64 5641895835477563/5000000000000000 (*.f64 y z)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))))
(-.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (/.f64 5641895835477563/5000000000000000 (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2) (*.f64 y z))))
(+.f64 x (fma.f64 (/.f64 (*.f64 y z) (pow.f64 (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) 2)) -5641895835477563/5000000000000000 (/.f64 y (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000))))
(-.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.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 5641895835477563/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))
(-.f64 (+.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (*.f64 z z)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) x) (fma.f64 5641895835477563/5000000000000000 (/.f64 y (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2) z)) (*.f64 5641895835477563/10000000000000000 (/.f64 (*.f64 y (*.f64 z z)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))
(+.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (*.f64 z z)) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (-.f64 x (fma.f64 5641895835477563/5000000000000000 (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) z) (/.f64 (*.f64 (*.f64 z (*.f64 z 5641895835477563/10000000000000000)) y) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))
(+.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 z (/.f64 (/.f64 (pow.f64 (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) 3) y) z)) (/.f64 y (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000))) (-.f64 x (fma.f64 5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) 2)) (*.f64 5641895835477563/10000000000000000 (*.f64 (/.f64 (*.f64 y z) (pow.f64 (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) 2)) z)))))
(-.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.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 5641895835477563/30000000000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (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 5641895835477563/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))))
(-.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (+.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (*.f64 z z)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) x)) (fma.f64 5641895835477563/5000000000000000 (/.f64 y (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2) z)) (fma.f64 5641895835477563/30000000000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (fma.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 y (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 4) (pow.f64 z 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 (*.f64 y (*.f64 z z)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))))
(-.f64 (+.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 3) (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3) y)) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (*.f64 z z)) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) x) (fma.f64 5641895835477563/5000000000000000 (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) z) (fma.f64 5641895835477563/30000000000000000 (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3)) (fma.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 y (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 4) (pow.f64 z 3))) (/.f64 (*.f64 (*.f64 z (*.f64 z 5641895835477563/10000000000000000)) y) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))))))
(-.f64 (+.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (/.f64 y (pow.f64 (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) 3)) (+.f64 (pow.f64 z 3) (*.f64 z z))) (/.f64 y (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000))) x) (fma.f64 5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) 2)) (fma.f64 5641895835477563/10000000000000000 (*.f64 (/.f64 (*.f64 y z) (pow.f64 (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) 2)) z) (*.f64 (*.f64 (/.f64 y (pow.f64 (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) 2)) (pow.f64 z 3)) (+.f64 5641895835477563/30000000000000000 (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) 2)))))))
(+.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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))))

prune347.0ms (5.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3150315
Fresh011
Picked011
Done022
Total3154319
Error
0b
Counts
319 → 4
Alt Table
StatusErrorProgram
0.4b
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 2) (cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) x)
33.2b
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 x (/.f64 (pow.f64 (exp.f64 z) 2) y)) y) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x))
0.1b
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
2.8b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 7598 to 3363 computations (55.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 x (/.f64 (pow.f64 (exp.f64 z) 2) y)) y) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x))
0.0b
(*.f64 (/.f64 x (/.f64 (pow.f64 (exp.f64 z) 2) y)) y)
0.1b
(/.f64 x (/.f64 (pow.f64 (exp.f64 z) 2) y))
0.1b
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)

series34.0ms (0.6%)

Counts
4 → 144
Calls

36 calls:

TimeVariablePointExpression
7.0ms
x
@0
(/.f64 x (/.f64 (pow.f64 (exp.f64 z) 2) y))
5.0ms
x
@0
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 x (/.f64 (pow.f64 (exp.f64 z) 2) y)) y) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x))
1.0ms
x
@0
(*.f64 (/.f64 x (/.f64 (pow.f64 (exp.f64 z) 2) y)) y)
1.0ms
y
@0
(/.f64 x (/.f64 (pow.f64 (exp.f64 z) 2) y))
1.0ms
z
@0
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 x (/.f64 (pow.f64 (exp.f64 z) 2) y)) y) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x))

rewrite80.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
275×log1p-udef_binary64
224×prod-diff_binary64
156×add-sqr-sqrt_binary64
153×pow1_binary64
152×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01565
132065
2410165
Stop Event
node limit
Counts
4 → 116
Calls
Call 1
Inputs
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(/.f64 x (/.f64 (pow.f64 (exp.f64 z) 2) y))
(*.f64 (/.f64 x (/.f64 (pow.f64 (exp.f64 z) 2) y)) y)
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 x (/.f64 (pow.f64 (exp.f64 z) 2) y)) y) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x))
Outputs
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simplify67.0ms (1.1%)

Algorithm
egg-herbie
Rules
699×fma-def_binary64
517×cancel-sign-sub-inv_binary64
445×associate-*r*_binary64
417×associate-*l*_binary64
320×associate--l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0932443
13172409
211782371
Stop Event
node limit
Counts
260 → 165
Calls
Call 1
Inputs
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(-.f64 (+.f64 (*.f64 5000000000000000/5641895835477563 y) x) (*.f64 5000000000000000/5641895835477563 (*.f64 y z)))
(-.f64 (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) x)) (*.f64 5000000000000000/5641895835477563 (*.f64 y z)))
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(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
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(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
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(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
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(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
x
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(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
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(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(*.f64 y x)
(-.f64 (*.f64 y x) (*.f64 2 (*.f64 y (*.f64 z x))))
(-.f64 (+.f64 (*.f64 y x) (*.f64 2 (*.f64 y (*.f64 (pow.f64 z 2) x)))) (*.f64 2 (*.f64 y (*.f64 z x))))
(-.f64 (+.f64 (*.f64 y x) (*.f64 2 (*.f64 y (*.f64 (pow.f64 z 2) x)))) (+.f64 (*.f64 4/3 (*.f64 y (*.f64 (pow.f64 z 3) x))) (*.f64 2 (*.f64 y (*.f64 z x)))))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(*.f64 (pow.f64 y 2) x)
(-.f64 (*.f64 (pow.f64 y 2) x) (*.f64 2 (*.f64 (pow.f64 y 2) (*.f64 z x))))
(-.f64 (+.f64 (*.f64 (pow.f64 y 2) x) (*.f64 2 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 z 2) x)))) (*.f64 2 (*.f64 (pow.f64 y 2) (*.f64 z x))))
(-.f64 (+.f64 (*.f64 (pow.f64 y 2) x) (*.f64 2 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 z 2) x)))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 z 3) x))) (*.f64 2 (*.f64 (pow.f64 y 2) (*.f64 z x)))))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))
(/.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 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (pow.f64 y 2) (pow.f64 (exp.f64 z) 2)))) x)
(+.f64 (*.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))) x))
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(*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (pow.f64 y 2) (pow.f64 (exp.f64 z) 2)))) x)
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(+.f64 (*.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))) x))
(+.f64 (*.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))) x))
(+.f64 (*.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))) x))
(+.f64 (*.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))) x))
(+.f64 (*.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))) x))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.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))) x))
(+.f64 (*.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))) x))
(*.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))) (*.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))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) x))
(+.f64 (*.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))) x))
(*.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))) (*.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))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) x))
(+.f64 (*.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))) x))
Outputs
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(-.f64 (+.f64 (*.f64 5000000000000000/5641895835477563 y) x) (*.f64 5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (fma.f64 5000000000000000/5641895835477563 y x) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (fma.f64 5000000000000000/5641895835477563 y x) (*.f64 (*.f64 y z) -5000000000000000/5641895835477563))
(fma.f64 (*.f64 y z) -5000000000000000/5641895835477563 (fma.f64 5000000000000000/5641895835477563 y x))
(-.f64 (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) x)) (*.f64 5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (fma.f64 5000000000000000/5641895835477563 y (fma.f64 2500000000000000/5641895835477563 (*.f64 y (*.f64 z z)) x)) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (fma.f64 5000000000000000/5641895835477563 y (fma.f64 2500000000000000/5641895835477563 (*.f64 y (*.f64 z z)) x)) (*.f64 (*.f64 y z) -5000000000000000/5641895835477563))
(fma.f64 (*.f64 y z) -5000000000000000/5641895835477563 (fma.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 z z)) y (fma.f64 5000000000000000/5641895835477563 y x)))
(-.f64 (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y z)) (*.f64 2500000000000000/16925687506432689 (*.f64 y (pow.f64 z 3)))))
(-.f64 (fma.f64 5000000000000000/5641895835477563 y (fma.f64 2500000000000000/5641895835477563 (*.f64 y (*.f64 z z)) x)) (fma.f64 5000000000000000/5641895835477563 (*.f64 y z) (*.f64 (*.f64 2500000000000000/16925687506432689 y) (pow.f64 z 3))))
(-.f64 (fma.f64 5000000000000000/5641895835477563 y (fma.f64 2500000000000000/5641895835477563 (*.f64 y (*.f64 z z)) x)) (fma.f64 5000000000000000/5641895835477563 (*.f64 y z) (*.f64 y (*.f64 (pow.f64 z 3) 2500000000000000/16925687506432689))))
(-.f64 (fma.f64 (*.f64 2500000000000000/5641895835477563 (*.f64 z z)) y (fma.f64 5000000000000000/5641895835477563 y x)) (*.f64 y (+.f64 (*.f64 5000000000000000/5641895835477563 z) (*.f64 2500000000000000/16925687506432689 (pow.f64 z 3)))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(*.f64 y x)
(*.f64 x y)
(-.f64 (*.f64 y x) (*.f64 2 (*.f64 y (*.f64 z x))))
(+.f64 (*.f64 x y) (*.f64 -2 (*.f64 y (*.f64 x z))))
(fma.f64 x y (*.f64 (*.f64 x (*.f64 y z)) -2))
(*.f64 y (+.f64 x (*.f64 -2 (*.f64 x z))))
(-.f64 (+.f64 (*.f64 y x) (*.f64 2 (*.f64 y (*.f64 (pow.f64 z 2) x)))) (*.f64 2 (*.f64 y (*.f64 z x))))
(+.f64 (fma.f64 y x (*.f64 (*.f64 2 y) (*.f64 x (*.f64 z z)))) (*.f64 -2 (*.f64 y (*.f64 x z))))
(fma.f64 x y (*.f64 (*.f64 y 2) (-.f64 (*.f64 z (*.f64 x z)) (*.f64 x z))))
(fma.f64 x y (*.f64 2 (*.f64 (*.f64 x y) (-.f64 (*.f64 z z) z))))
(-.f64 (+.f64 (*.f64 y x) (*.f64 2 (*.f64 y (*.f64 (pow.f64 z 2) x)))) (+.f64 (*.f64 4/3 (*.f64 y (*.f64 (pow.f64 z 3) x))) (*.f64 2 (*.f64 y (*.f64 z x)))))
(-.f64 (fma.f64 y x (*.f64 (*.f64 2 y) (*.f64 x (*.f64 z z)))) (fma.f64 4/3 (*.f64 y (*.f64 x (pow.f64 z 3))) (*.f64 2 (*.f64 y (*.f64 x z)))))
(-.f64 (fma.f64 x y (*.f64 (*.f64 y 2) (-.f64 (*.f64 z (*.f64 x z)) (*.f64 x z)))) (*.f64 y (*.f64 (*.f64 x (pow.f64 z 3)) 4/3)))
(fma.f64 x y (fma.f64 2 (*.f64 (*.f64 x y) (-.f64 (*.f64 z z) z)) (*.f64 (*.f64 -4/3 x) (*.f64 y (pow.f64 z 3)))))
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))
(/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) x))
(*.f64 (/.f64 y (pow.f64 (exp.f64 z) 2)) x)
(*.f64 (/.f64 y (exp.f64 (+.f64 z z))) x)
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(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 x (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 y (exp.f64 (+.f64 z z))) y) 1)))
(+.f64 (*.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))) x))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (exp.f64 z) 2) x)) x))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 (/.f64 y (/.f64 (/.f64 (pow.f64 (exp.f64 z) 2) x) y)) 25000000000000000000000000000000/31830988618379068626528276418969 x))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 x (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 y (exp.f64 (+.f64 z z))) y) 1)))
(*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2)))
(/.f64 (*.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) x) (pow.f64 (exp.f64 z) 2))
(*.f64 (/.f64 y (/.f64 (/.f64 (pow.f64 (exp.f64 z) 2) x) y)) 25000000000000000000000000000000/31830988618379068626528276418969)
(*.f64 x (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 y (exp.f64 (+.f64 z z))) y)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (*.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) x) (pow.f64 (exp.f64 z) 2)))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 (/.f64 y (/.f64 (/.f64 (pow.f64 (exp.f64 z) 2) x) y)) 25000000000000000000000000000000/31830988618379068626528276418969))
(fma.f64 (*.f64 (*.f64 (/.f64 y (exp.f64 (+.f64 z z))) y) x) 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y))
(+.f64 (*.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))) x))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (exp.f64 z) 2) x)) x))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 (/.f64 y (/.f64 (/.f64 (pow.f64 (exp.f64 z) 2) x) y)) 25000000000000000000000000000000/31830988618379068626528276418969 x))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 x (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 y (exp.f64 (+.f64 z z))) y) 1)))
(+.f64 (*.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))) x))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (exp.f64 z) 2) x)) x))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 (/.f64 y (/.f64 (/.f64 (pow.f64 (exp.f64 z) 2) x) y)) 25000000000000000000000000000000/31830988618379068626528276418969 x))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 x (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 y (exp.f64 (+.f64 z z))) y) 1)))

prune110.0ms (1.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1650165
Fresh000
Picked011
Done033
Total1654169
Error
0b
Counts
169 → 4
Alt Table
StatusErrorProgram
0.4b
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 2) (cbrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) x)
33.2b
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 x (/.f64 (pow.f64 (exp.f64 z) 2) y)) y) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x))
0.1b
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
2.8b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 4137 to 2076 computations (49.8% saved)

regimes251.0ms (4.1%)

Accuracy

Total 0.0b remaining (78.4%)

Threshold costs 0.0b (78.4%)

Counts
78 → 1
Compiler

Compiled 1150 to 584 computations (49.2% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01218
11518
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) y))))
Outputs
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) y))))

end93.0ms (1.5%)

Stop Event
done
Compiler

Compiled 108 to 74 computations (31.5% saved)

Profiling

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