Details

Time bar (total: 4.0s)

analyze679.0ms (17%)

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

Compiled 16 to 11 computations (31.3% saved)

sample1.0s (26.2%)

Results
1.0s8256×body128valid

preprocess50.0ms (1.2%)

Algorithm
2×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
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(+.f64 y (/.f64 x (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))))
(+.f64 z (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 x)) (*.f64 z y))))
(+.f64 x (/.f64 z (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 y)) (*.f64 x z))))
Outputs
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (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)

simplify30.0ms (0.7%)

Algorithm
1×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
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
Outputs
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(+.f64 x (/.f64 y (fma.f64 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
▶0.0b
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
3.1b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 84 to 56 computations (33.3% saved)

localize7.0ms (0.2%)

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)))
✓0.1b
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))
✓0.1b
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
✓0.2b
(/.f64 (exp.f64 z) y)

series24.0ms (0.6%)

Counts
4 → 112
Calls

33 calls:

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

rewrite68.0ms (1.7%)

Algorithm
1×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
1×node limit
Counts
4 → 115
Calls
Call 1
Inputs
(/.f64 (exp.f64 z) y)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 z) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (exp.f64 z) y)) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 z) y)) 2) (cbrt.f64 (/.f64 (exp.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (*.f64 (cbrt.f64 (exp.f64 z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (exp.f64 z) y)) (sqrt.f64 (/.f64 (exp.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 z)) (*.f64 (sqrt.f64 (exp.f64 z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 z)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 z)) 1) (/.f64 (sqrt.f64 (exp.f64 z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (exp.f64 z) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (exp.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 z)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (exp.f64 z)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (exp.f64 z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (exp.f64 z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (exp.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 z (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 z (log.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 z) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000) 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 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000) (*.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000) (*.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000)) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000) 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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simplify71.0ms (1.8%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01612746
14852700
215982656
Stop Event
1×node limit
Counts
227 → 186
Calls
Call 1
Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 z y))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) y)) (+.f64 (/.f64 1 y) (/.f64 z y)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) y)) (+.f64 (/.f64 1 y) (+.f64 (/.f64 z y) (*.f64 1/6 (/.f64 (pow.f64 z 3) y)))))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y)) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
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x
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x
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(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
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x
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(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
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(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
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(/.f64 -1 x)
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(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
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(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (pow.f64 y 2) (pow.f64 (exp.f64 z) 2)))) x)))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (pow.f64 y 2) (pow.f64 (exp.f64 z) 2)))) x))))
x
(-.f64 x (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x)) (/.f64 1 x))
x
(-.f64 x (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x)) (/.f64 1 x))
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) x) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2))) x)) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (*.f64 y (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))) (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))))) (pow.f64 z 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2))) x))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)))
(-.f64 x (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x)) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x))) (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x)) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x))) (/.f64 1 x))
Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 z y))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) y)) (+.f64 (/.f64 1 y) (/.f64 z y)))
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(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
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(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
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(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
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(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
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(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 x (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2))))))
(fma.f64 x (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) 1) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 y (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y x))) x))
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(fma.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)) (*.f64 x (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2)))))))
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 x x))) (fma.f64 x (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) 1) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 x (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) x)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 y (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y x))) x)))
(-.f64 x (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x))
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) x) (/.f64 1 x))
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) x) (/.f64 -1 x))
(fma.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x x)) (/.f64 (exp.f64 z) y) (-.f64 x (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x)) (/.f64 1 x))
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) x)) (/.f64 1 x))
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) x) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (exp.f64 (+.f64 z z)) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x)))
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (*.f64 y x) x)) x) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x))) (/.f64 1 x))
(-.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) x))) (/.f64 1 x))
(+.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (exp.f64 (+.f64 z z)) (*.f64 (*.f64 y y) (pow.f64 x 3))) x))) (/.f64 -1 x))
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (*.f64 y x) x)) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 y (pow.f64 x 3)))) x)) (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 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x))
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) x) (/.f64 1 x))
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) x) (/.f64 -1 x))
(fma.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x x)) (/.f64 (exp.f64 z) y) (-.f64 x (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x)) (/.f64 1 x))
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) x)) (/.f64 1 x))
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) x) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (exp.f64 (+.f64 z z)) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x)))
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (*.f64 y x) x)) x) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x))) (/.f64 1 x))
(-.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) x))) (/.f64 1 x))
(+.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (exp.f64 (+.f64 z z)) (*.f64 (*.f64 y y) (pow.f64 x 3))) x))) (/.f64 -1 x))
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (*.f64 y x) x)) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 y (pow.f64 x 3)))) x)) (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (pow.f64 x 4)) (/.f64 -1 x)))

prune205.0ms (5.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1842186
Fresh011
Picked011
Done000
Total1844188
Error
0b
Counts
188 → 4
Alt Table
StatusErrorProgram
▶3.1b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
24.2b
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
✓0.0b
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
29.9b
(/.f64 (-.f64 (*.f64 x x) (/.f64 1 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 2))) (-.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))
Compiler

Compiled 4339 to 2570 computations (40.8% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
✓0.0b
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
✓1.2b
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))
✓7.3b
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))

series15.0ms (0.4%)

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))))

rewrite89.0ms (2.2%)

Algorithm
1×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
1×node limit
Counts
4 → 242
Calls
Call 1
Inputs
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
Outputs
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(fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)) x)))))

simplify75.0ms (1.9%)

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

Useful iterations: 2 (0.0ms)

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

prune499.0ms (12.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New3151316
Fresh112
Picked011
Done011
Total3164320
Error
0b
Counts
320 → 4
Alt Table
StatusErrorProgram
✓3.1b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
24.2b
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
▶19.2b
(fma.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))))) x)
✓0.0b
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
Compiler

Compiled 7704 to 3443 computations (55.3% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 y (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))
✓0.3b
(/.f64 1 (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))
✓1.2b
(fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))
✓3.4b
(sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))

series47.0ms (1.2%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
(/.f64 y (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))
4.0ms
y
@0
(sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))
3.0ms
z
@inf
(/.f64 1 (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))
3.0ms
z
@0
(/.f64 1 (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))
3.0ms
z
@-inf
(sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))

rewrite105.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
550×log-prod_binary64
203×expm1-udef_binary64
203×log1p-udef_binary64
179×log-pow_binary64
176×prod-diff_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01360
126150
2317350
Stop Event
1×node limit
Counts
4 → 220
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))
(fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))
(/.f64 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)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 y x (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 y x (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 y x (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 y x (*.f64 5641895835477563/5000000000000000 (exp.f64 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 y x (*.f64 5641895835477563/5000000000000000 (exp.f64 z))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 y x (*.f64 5641895835477563/5000000000000000 (exp.f64 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 y x (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y 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simplify149.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
602×times-frac_binary64
321×distribute-rgt-in_binary64
263×fma-def_binary64
212×associate-*l*_binary64
208×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02463879
17983651
228693559
Stop Event
1×node limit
Counts
316 → 293
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 5641895835477563/10000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))))))) (sqrt.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 5641895835477563/10000000000000000 (pow.f64 (*.f64 5641895835477563/10000000000000000 (sqrt.f64 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))))) 2)) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))))))) (+.f64 (*.f64 5641895835477563/10000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))))))) (sqrt.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))))))
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(+.f64 (*.f64 (*.f64 (sqrt.f64 5000000000000000/5641895835477563) y) (sqrt.f64 (/.f64 1 (exp.f64 z)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (pow.f64 (*.f64 12500000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 x (sqrt.f64 5000000000000000/5641895835477563)) (sqrt.f64 (/.f64 1 (pow.f64 (exp.f64 z) 3))))) 2) (*.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 x 2) (pow.f64 (exp.f64 z) 3))))) (sqrt.f64 5000000000000000/5641895835477563)) (sqrt.f64 (exp.f64 z)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 -12500000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 12500000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 x (sqrt.f64 5000000000000000/5641895835477563)) (sqrt.f64 (/.f64 1 (pow.f64 (exp.f64 z) 3))))) 2) (*.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 x 2) (pow.f64 (exp.f64 z) 3)))) x) (*.f64 (pow.f64 (sqrt.f64 5000000000000000/5641895835477563) 2) (exp.f64 z)))) (*.f64 -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 z) 4))))) (sqrt.f64 5000000000000000/5641895835477563)) (sqrt.f64 (exp.f64 z)))) (*.f64 12500000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (sqrt.f64 5000000000000000/5641895835477563)) (sqrt.f64 (/.f64 1 (pow.f64 (exp.f64 z) 3))))))))
(*.f64 y (sqrt.f64 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))))))
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(+.f64 (*.f64 y (sqrt.f64 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 3))) (+.f64 (*.f64 5641895835477563/10000000000000000 (/.f64 1 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))) (pow.f64 (*.f64 -5641895835477563/10000000000000000 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 3)))) 2))) (*.f64 y (pow.f64 z 2))) (sqrt.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))))) (*.f64 -5641895835477563/10000000000000000 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 3)))))))
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(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))))) y)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))))) y)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))))) y)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))))) y)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))))) y)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))))) y)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))))) y)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))))) y)
(*.f64 (*.f64 (sqrt.f64 5000000000000000/5641895835477563) y) (sqrt.f64 (/.f64 1 (exp.f64 z))))
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(+.f64 (*.f64 (*.f64 (sqrt.f64 5000000000000000/5641895835477563) y) (sqrt.f64 (/.f64 1 (exp.f64 z)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 y (*.f64 (+.f64 (pow.f64 (*.f64 12500000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 y (sqrt.f64 5000000000000000/5641895835477563)) (sqrt.f64 (/.f64 1 (pow.f64 (exp.f64 z) 3))))) 2) (*.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 2) (pow.f64 (exp.f64 z) 3)))) (pow.f64 x 2))) (sqrt.f64 5000000000000000/5641895835477563)) (sqrt.f64 (exp.f64 z)))) (*.f64 12500000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (sqrt.f64 5000000000000000/5641895835477563)) (sqrt.f64 (/.f64 1 (pow.f64 (exp.f64 z) 3)))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 5000000000000000/5641895835477563) y) (sqrt.f64 (/.f64 1 (exp.f64 z)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (pow.f64 y 3) (pow.f64 (exp.f64 z) 4))) (*.f64 -12500000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (+.f64 (pow.f64 (*.f64 12500000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 y (sqrt.f64 5000000000000000/5641895835477563)) (sqrt.f64 (/.f64 1 (pow.f64 (exp.f64 z) 3))))) 2) (*.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 2) (pow.f64 (exp.f64 z) 3))))) (*.f64 (pow.f64 (sqrt.f64 5000000000000000/5641895835477563) 2) (exp.f64 z))))) (*.f64 y (pow.f64 x 3))) (sqrt.f64 5000000000000000/5641895835477563)) (sqrt.f64 (exp.f64 z)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 y (*.f64 (+.f64 (pow.f64 (*.f64 12500000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 y (sqrt.f64 5000000000000000/5641895835477563)) (sqrt.f64 (/.f64 1 (pow.f64 (exp.f64 z) 3))))) 2) (*.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 2) (pow.f64 (exp.f64 z) 3)))) (pow.f64 x 2))) (sqrt.f64 5000000000000000/5641895835477563)) (sqrt.f64 (exp.f64 z)))) (*.f64 12500000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (sqrt.f64 5000000000000000/5641895835477563)) (sqrt.f64 (/.f64 1 (pow.f64 (exp.f64 z) 3))))))))
Outputs
(sqrt.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))))
(sqrt.f64 (+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))))
(sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/10000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))))))) (sqrt.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))))
(fma.f64 5641895835477563/10000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x)))))) (sqrt.f64 (+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x)))))
(fma.f64 5641895835477563/10000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
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(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))))) (*.f64 (-.f64 5641895835477563/10000000000000000 (pow.f64 (*.f64 5641895835477563/10000000000000000 (sqrt.f64 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x)))))) 2)) (*.f64 z z))) (fma.f64 5641895835477563/10000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x)))))) (sqrt.f64 (+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))))))
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(sqrt.f64 (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
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(sqrt.f64 (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
(sqrt.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))))
(sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 y x))))
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(sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 y x))))
(sqrt.f64 (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
(sqrt.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))))
(sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 y x))))
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(fma.f64 (*.f64 y (sqrt.f64 5000000000000000/5641895835477563)) (sqrt.f64 (exp.f64 (neg.f64 z))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (exp.f64 z)) (/.f64 (fma.f64 -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (pow.f64 y 3) (pow.f64 (exp.f64 z) 4)) (*.f64 -12500000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 y (pow.f64 (sqrt.f64 5000000000000000/5641895835477563) 2)) (/.f64 (+.f64 (pow.f64 (*.f64 12500000000000000000000000000000/31830988618379068626528276418969 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (exp.f64 z) 3))) (/.f64 y (sqrt.f64 5000000000000000/5641895835477563)))) 2) (*.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 3)))) (exp.f64 z))))) (/.f64 (sqrt.f64 5000000000000000/5641895835477563) (*.f64 y (pow.f64 x 3))))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (exp.f64 z)) (/.f64 y (/.f64 (sqrt.f64 5000000000000000/5641895835477563) (*.f64 (*.f64 x x) (+.f64 (pow.f64 (*.f64 12500000000000000000000000000000/31830988618379068626528276418969 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (exp.f64 z) 3))) (/.f64 y (sqrt.f64 5000000000000000/5641895835477563)))) 2) (*.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 3)))))))) (*.f64 12500000000000000000000000000000/31830988618379068626528276418969 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (exp.f64 z) 3))) (/.f64 (*.f64 y y) (/.f64 (sqrt.f64 5000000000000000/5641895835477563) x)))))))
(+.f64 (*.f64 (sqrt.f64 (exp.f64 z)) (+.f64 (*.f64 -1/2 (/.f64 (fma.f64 -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (pow.f64 y 3) (pow.f64 (exp.f64 z) 4)) (*.f64 -2500000000000000/5641895835477563 (/.f64 (*.f64 y (fma.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 y (/.f64 (pow.f64 (exp.f64 z) 3) y)) (pow.f64 (*.f64 12500000000000000000000000000000/31830988618379068626528276418969 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (exp.f64 z) 3))) (/.f64 y (sqrt.f64 5000000000000000/5641895835477563)))) 2))) (exp.f64 z)))) (/.f64 (sqrt.f64 5000000000000000/5641895835477563) (*.f64 y (pow.f64 x 3))))) (*.f64 -1/2 (*.f64 (/.f64 y (sqrt.f64 5000000000000000/5641895835477563)) (*.f64 (*.f64 x x) (fma.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 y (/.f64 (pow.f64 (exp.f64 z) 3) y)) (pow.f64 (*.f64 12500000000000000000000000000000/31830988618379068626528276418969 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (exp.f64 z) 3))) (/.f64 y (sqrt.f64 5000000000000000/5641895835477563)))) 2))))))) (fma.f64 (sqrt.f64 (exp.f64 (neg.f64 z))) (*.f64 y (sqrt.f64 5000000000000000/5641895835477563)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (exp.f64 z) 3))) (*.f64 12500000000000000000000000000000/31830988618379068626528276418969 (/.f64 x (/.f64 (sqrt.f64 5000000000000000/5641895835477563) (*.f64 y y)))))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (exp.f64 z)) (+.f64 (/.f64 (fma.f64 -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (pow.f64 y 3) (pow.f64 (exp.f64 z) 4)) (*.f64 -2500000000000000/5641895835477563 (/.f64 (*.f64 y (fma.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 y (/.f64 (pow.f64 (exp.f64 z) 3) y)) (pow.f64 (*.f64 (/.f64 y (sqrt.f64 5000000000000000/5641895835477563)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (exp.f64 z) 3))) 12500000000000000000000000000000/31830988618379068626528276418969)) 2))) (exp.f64 z)))) (/.f64 (sqrt.f64 5000000000000000/5641895835477563) (*.f64 y (pow.f64 x 3)))) (*.f64 (/.f64 y (sqrt.f64 5000000000000000/5641895835477563)) (*.f64 x (*.f64 x (fma.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 y (/.f64 (pow.f64 (exp.f64 z) 3) y)) (pow.f64 (*.f64 (/.f64 y (sqrt.f64 5000000000000000/5641895835477563)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (exp.f64 z) 3))) 12500000000000000000000000000000/31830988618379068626528276418969)) 2)))))))) (fma.f64 (sqrt.f64 (exp.f64 (neg.f64 z))) (*.f64 y (sqrt.f64 5000000000000000/5641895835477563)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (exp.f64 z) 3))) (*.f64 12500000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (sqrt.f64 5000000000000000/5641895835477563) x))))))

prune564.0ms (14.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New4760476
Fresh011
Picked011
Done022
Total4764480
Error
0b
Counts
480 → 4
Alt Table
StatusErrorProgram
✓3.1b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
▶24.2b
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
✓19.2b
(fma.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))))) x)
✓0.0b
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
Compiler

Compiled 20021 to 10287 computations (48.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
✓0.2b
(/.f64 y (exp.f64 z))

series12.0ms (0.3%)

Counts
2 → 40
Calls

15 calls:

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

rewrite49.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
803×pow1_binary64
741×log1p-expm1-u_binary64
741×expm1-log1p-u_binary64
82×add-sqr-sqrt_binary64
80×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
116116
2196916
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(/.f64 y (exp.f64 z))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (exp.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (exp.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (exp.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (exp.f64 z))) (pow.f64 (cbrt.f64 (/.f64 y (exp.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (exp.f64 z))) 2) (cbrt.f64 (/.f64 y (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (exp.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (exp.f64 z))) (sqrt.f64 (/.f64 y (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (exp.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 y (cbrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (/.f64 y (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 y (sqrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (exp.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (exp.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (exp.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (exp.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 z) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (exp.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (exp.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (exp.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 y) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (exp.f64 z))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)) (pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)) 2) (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)) (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)))))))

simplify36.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
458×fma-def_binary64
394×distribute-rgt-out_binary64
258×unsub-neg_binary64
213×associate-*l*_binary64
178×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
050458
1160443
2580416
33243411
Stop Event
1×node limit
Counts
96 → 76
Calls
Call 1
Inputs
y
(+.f64 (*.f64 -1 (*.f64 y z)) y)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 y (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y))))))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 y) (*.f64 -1 y))) (*.f64 1/6 y))) (pow.f64 z 3))) (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))))))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x))
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)))
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 y) (*.f64 -1 y))) (*.f64 1/6 y))) (pow.f64 z 3))) x))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
Outputs
y
(+.f64 (*.f64 -1 (*.f64 y z)) y)
(fma.f64 -1 (*.f64 y z) y)
(-.f64 y (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 y (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y))))))
(+.f64 (fma.f64 -1 (*.f64 y z) y) (neg.f64 (*.f64 (*.f64 y -1/2) (*.f64 z z))))
(+.f64 (*.f64 y (*.f64 1/2 (*.f64 z z))) (-.f64 y (*.f64 y z)))
(-.f64 (fma.f64 y (*.f64 (*.f64 1/2 z) z) y) (*.f64 y z))
(+.f64 y (*.f64 y (*.f64 z (+.f64 -1 (*.f64 1/2 z)))))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 y) (*.f64 -1 y))) (*.f64 1/6 y))) (pow.f64 z 3))) (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))))))
(+.f64 (fma.f64 -1 (*.f64 y z) y) (fma.f64 -1 (*.f64 (fma.f64 -1/2 y (fma.f64 -1 (*.f64 y -1/2) (*.f64 y 1/6))) (pow.f64 z 3)) (neg.f64 (*.f64 (*.f64 y -1/2) (*.f64 z z)))))
(-.f64 (fma.f64 -1 (fma.f64 (fma.f64 y -1/2 (fma.f64 y 1/6 (*.f64 y 1/2))) (pow.f64 z 3) (*.f64 y (*.f64 -1/2 (*.f64 z z)))) y) (*.f64 y z))
(+.f64 y (-.f64 (*.f64 (*.f64 z z) (-.f64 (*.f64 y 1/2) (*.f64 z (fma.f64 y 1/6 0)))) (*.f64 y z)))
(+.f64 (fma.f64 (pow.f64 z 3) (*.f64 y -1/6) y) (*.f64 y (*.f64 z (+.f64 -1 (*.f64 1/2 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 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))
(/.f64 (*.f64 y 5000000000000000/5641895835477563) (exp.f64 z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))
(/.f64 (*.f64 y 5000000000000000/5641895835477563) (exp.f64 z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(fma.f64 y 5000000000000000/5641895835477563 x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x))
(fma.f64 5000000000000000/5641895835477563 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) x))
(fma.f64 y 5000000000000000/5641895835477563 (fma.f64 (*.f64 y z) -5000000000000000/5641895835477563 x))
(fma.f64 y (*.f64 z -5000000000000000/5641895835477563) (fma.f64 y 5000000000000000/5641895835477563 x))
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 (*.f64 y -1/2) (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) x)))
(fma.f64 (*.f64 y (*.f64 -1/2 (*.f64 z z))) -5000000000000000/5641895835477563 (fma.f64 y 5000000000000000/5641895835477563 (fma.f64 (*.f64 y z) -5000000000000000/5641895835477563 x)))
(fma.f64 y 5000000000000000/5641895835477563 (fma.f64 (*.f64 z z) (*.f64 y 2500000000000000/5641895835477563) (fma.f64 y (*.f64 z -5000000000000000/5641895835477563) x)))
(fma.f64 (*.f64 z z) (*.f64 y 2500000000000000/5641895835477563) (fma.f64 y (*.f64 z -5000000000000000/5641895835477563) (fma.f64 y 5000000000000000/5641895835477563 x)))
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 y) (*.f64 -1 y))) (*.f64 1/6 y))) (pow.f64 z 3))) x))))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 (*.f64 y -1/2) (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (fma.f64 -5000000000000000/5641895835477563 (*.f64 (fma.f64 -1/2 y (fma.f64 -1 (*.f64 y -1/2) (*.f64 y 1/6))) (pow.f64 z 3)) x))))
(fma.f64 (*.f64 y (*.f64 -1/2 (*.f64 z z))) -5000000000000000/5641895835477563 (fma.f64 y 5000000000000000/5641895835477563 (fma.f64 (*.f64 y z) -5000000000000000/5641895835477563 (fma.f64 (*.f64 (fma.f64 y -1/2 (fma.f64 y 1/6 (*.f64 y 1/2))) -5000000000000000/5641895835477563) (pow.f64 z 3) x))))
(fma.f64 (*.f64 z z) (*.f64 y 2500000000000000/5641895835477563) (fma.f64 -5000000000000000/5641895835477563 (fma.f64 y z (*.f64 (fma.f64 y 1/6 0) (pow.f64 z 3))) (fma.f64 y 5000000000000000/5641895835477563 x)))
(fma.f64 (*.f64 z z) (*.f64 y 2500000000000000/5641895835477563) (fma.f64 -5000000000000000/5641895835477563 (fma.f64 y z (*.f64 y (*.f64 1/6 (pow.f64 z 3)))) (fma.f64 y 5000000000000000/5641895835477563 x)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))
(/.f64 (*.f64 y 5000000000000000/5641895835477563) (exp.f64 z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)

prune50.0ms (1.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New76076
Fresh000
Picked011
Done033
Total76480
Error
0b
Counts
80 → 4
Alt Table
StatusErrorProgram
✓3.1b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
✓24.2b
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)
✓19.2b
(fma.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))))) x)
✓0.0b
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
Compiler

Compiled 1048 to 560 computations (46.6% saved)

regimes80.0ms (2%)

Accuracy

Total -63.8b remaining (-136144.9%)

Threshold costs -63.8b (-136144.9%)

Counts
26 → 1
Compiler

Compiled 386 to 215 computations (44.3% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

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

end19.0ms (0.5%)

Stop Event
1×done
Compiler

Compiled 28 to 20 computations (28.6% saved)

Profiling

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