Details

Time bar (total: 12.6s)

analyze298.0ms (2.4%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
6.3%6.2%93.6%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
20.3%20.3%79.6%0.1%0%0%0%8
35.5%35.5%64.4%0.1%0%0%0%9
40%40%59.9%0.1%0%0%0%10
50.6%50.5%49.3%0.1%0%0%0%11
63.5%63.4%36.4%0.1%0%0%0%12
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample2.0s (16%)

Results
2.0s8256×body256valid
Bogosity

preprocess114.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02772
16072
29872
314372
422172
535472
654972
780472
8120072
9168464
10257664
11435064
12627364
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(+.f64 y (/.f64 x (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))))
(+.f64 z (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 x)) (*.f64 z y))))
(+.f64 x (/.f64 z (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 y)) (*.f64 x z))))
Outputs
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) -5641895835477563/5000000000000000 (*.f64 x y))))
(+.f64 y (/.f64 x (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))))
(+.f64 y (/.f64 x (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(+.f64 y (/.f64 x (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))
(-.f64 y (/.f64 x (fma.f64 (exp.f64 z) -5641895835477563/5000000000000000 (*.f64 x y))))
(+.f64 z (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 x)) (*.f64 z y))))
(+.f64 z (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 x)) (*.f64 y z))))
(-.f64 z (/.f64 y (fma.f64 y z (*.f64 (exp.f64 x) -5641895835477563/5000000000000000))))
(+.f64 x (/.f64 z (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 y)) (*.f64 x z))))
(+.f64 x (/.f64 z (fma.f64 x (neg.f64 z) (*.f64 5641895835477563/5000000000000000 (exp.f64 y)))))
(-.f64 x (/.f64 z (fma.f64 x z (*.f64 (exp.f64 y) -5641895835477563/5000000000000000))))
(-.f64 x (/.f64 z (fma.f64 (exp.f64 y) -5641895835477563/5000000000000000 (*.f64 x z))))
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify106.0ms (0.8%)

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

Useful iterations: 9 (0.0ms)

IterNodesCost
01118
12018
23518
35218
48118
512718
620518
729218
839618
954016
1073716
11120516
12229116
13455516
14584416
15668816
16685616
17688416
18725416
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
Outputs
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) -5641895835477563/5000000000000000 (*.f64 x y))))
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))

eval1.0ms (0%)

Compiler

Compiled 26 to 16 computations (38.5% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
3.1b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
0.1b
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
Compiler

Compiled 29 to 20 computations (31% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)
0.1b
(/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))
0.2b
(/.f64 -5641895835477563/5000000000000000 y)
Compiler

Compiled 40 to 22 computations (45% saved)

series18.0ms (0.1%)

Counts
3 → 72
Calls

21 calls:

TimeVariablePointExpression
4.0ms
y
@0
(/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))
2.0ms
z
@0
(/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))
2.0ms
y
@inf
(/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))
2.0ms
z
@inf
(/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))
1.0ms
z
@-inf
(/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))

rewrite138.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
951×pow1_binary64
876×add-log-exp_binary64
876×log1p-expm1-u_binary64
876×expm1-log1p-u_binary64
857×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
120327
2238327
Stop Event
node limit
Counts
3 → 62
Calls
Call 1
Inputs
(/.f64 -5641895835477563/5000000000000000 y)
(/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))
(fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -5641895835477563/5000000000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -5641895835477563/5000000000000000 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -5641895835477563/5000000000000000 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -5641895835477563/5000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2) (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5641895835477563/5000000000000000 (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) -5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -5000000000000000/5641895835477563) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -5641895835477563/5000000000000000 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) (cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2)) (/.f64 -1 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) (sqrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2) (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) (sqrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z))) (*.f64 x x)) (-.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))))

simplify134.0ms (1.1%)

Algorithm
egg-herbie
Rules
920×fma-neg_binary64
871×times-frac_binary64
468×associate-/r*_binary64
442×associate-/l*_binary64
371×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01171582
13421550
211681521
372601518
Stop Event
node limit
Counts
134 → 100
Calls
Call 1
Inputs
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (*.f64 y (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))) (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))))) (pow.f64 z 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2))))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y)) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
Outputs
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))
(/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))
(/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2))) (/.f64 1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2)) (neg.f64 (*.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 3))) (/.f64 5641895835477563/10000000000000000 (*.f64 y (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2)))) (*.f64 z z)))) (/.f64 1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (fma.f64 (neg.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3)))) (/.f64 5641895835477563/10000000000000000 (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2))))) (*.f64 z z) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))
(fma.f64 (*.f64 z z) (+.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3)))) (/.f64 -5641895835477563/10000000000000000 (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (*.f64 y (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))) (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))))) (pow.f64 z 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2))))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
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(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 x (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y y))) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (exp.f64 z) 3)) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 x (pow.f64 (exp.f64 z) 2)) (*.f64 y y)) (/.f64 (*.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 x (*.f64 y y)) (pow.f64 (exp.f64 z) 2)) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 (exp.f64 z) 4) (pow.f64 x 3))) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 x x))) (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 x (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y y))) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) (pow.f64 x 3)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (exp.f64 z) 3)) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 x (pow.f64 (exp.f64 z) 2)) (*.f64 y y)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 x 3) (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4))) (/.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 x y))) (/.f64 -1 x))
(fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (/.f64 (exp.f64 z) (*.f64 x x)) (/.f64 -1 x))
(fma.f64 (/.f64 (exp.f64 z) y) (/.f64 -5641895835477563/5000000000000000 (*.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 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(-.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (/.f64 (pow.f64 (exp.f64 z) 3) (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 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x))))
(fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (pow.f64 x 4)) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x))))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y (*.f64 x x))) (/.f64 1 x))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (/.f64 -1 x))
(fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (/.f64 (exp.f64 z) (*.f64 x x)) (/.f64 -1 x))
(fma.f64 (/.f64 (exp.f64 z) y) (/.f64 -5641895835477563/5000000000000000 (*.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 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(-.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (/.f64 (pow.f64 (exp.f64 z) 3) (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 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x))))
(fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (pow.f64 x 4)) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x))))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 5641895835477563/5000000000000000 y))
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y))
(-.f64 (+.f64 (*.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (fma.f64 -5641895835477563/10000000000000000 (/.f64 (*.f64 z z) y) (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) (/.f64 5641895835477563/5000000000000000 y))
(+.f64 (fma.f64 -5641895835477563/10000000000000000 (/.f64 z (/.f64 y z)) (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) (/.f64 -5641895835477563/5000000000000000 y))
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (fma.f64 -5641895835477563/10000000000000000 (*.f64 (/.f64 z y) z) (/.f64 -5641895835477563/5000000000000000 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y)) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (fma.f64 -5641895835477563/10000000000000000 (/.f64 (*.f64 z z) y) (fma.f64 -5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y) (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x))) (/.f64 5641895835477563/5000000000000000 y))
(+.f64 (fma.f64 -5641895835477563/10000000000000000 (/.f64 z (/.f64 y z)) (fma.f64 -5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y) (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x))) (/.f64 -5641895835477563/5000000000000000 y))
(+.f64 (fma.f64 -5641895835477563/10000000000000000 (*.f64 (/.f64 z y) z) (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) (fma.f64 -5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y) (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 (fma.f64 -5641895835477563/10000000000000000 (*.f64 (/.f64 z y) z) (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) (fma.f64 (/.f64 -5641895835477563/30000000000000000 y) (pow.f64 z 3) (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)

localize31.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
0.8b
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))
7.9b
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))
Compiler

Compiled 46 to 20 computations (56.5% saved)

series18.0ms (0.1%)

Counts
3 → 76
Calls

21 calls:

TimeVariablePointExpression
4.0ms
z
@inf
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))
2.0ms
y
@0
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))
2.0ms
z
@0
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))
1.0ms
z
@-inf
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))
1.0ms
y
@inf
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))

rewrite114.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
572×log-prod_binary64
389×fma-def_binary64
346×pow-prod-down_binary64
292×pow2_binary64
202×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01033
122233
2302533
Stop Event
node limit
Counts
3 → 231
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))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 (*.f64 z 2)) 31830988618379068626528276418969/25000000000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (exp.f64 (*.f64 z 2)) 31830988618379068626528276418969/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 z (log1p.f64 641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 z (log1p.f64 641895835477563/5000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (+.f64 z (log1p.f64 641895835477563/5000000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (+.f64 z (log1p.f64 641895835477563/5000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (*.f64 3 z)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 z (log1p.f64 641895835477563/5000000000000000)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 z (log1p.f64 641895835477563/5000000000000000)) 3) 1/3))))))

simplify161.0ms (1.3%)

Algorithm
egg-herbie
Rules
871×times-frac_binary64
576×fma-neg_binary64
447×associate-/l*_binary64
424×fma-def_binary64
416×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01081668
13271633
211651589
371531583
Stop Event
node limit
Counts
307 → 278
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (*.f64 -31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))))) (pow.f64 z 3))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(-.f64 5641895835477563/5000000000000000 (*.f64 y x))
(-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))
(-.f64 (+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y x))
(-.f64 (+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 5641895835477563/30000000000000000 (pow.f64 z 3))))) (*.f64 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
5641895835477563/5000000000000000
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 5641895835477563/30000000000000000 (pow.f64 z 3)))))
Outputs
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (exp.f64 z) 2) x)) (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x))) (pow.f64 (exp.f64 z) 2)))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2)) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 x)))
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(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y)))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y)))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000)
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y)))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y)))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y)))
5641895835477563/5000000000000000
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))
(fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)
(+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(fma.f64 5641895835477563/10000000000000000 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000)))
(fma.f64 (*.f64 z z) 5641895835477563/10000000000000000 (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000))
(fma.f64 z 5641895835477563/5000000000000000 (fma.f64 (*.f64 z z) 5641895835477563/10000000000000000 5641895835477563/5000000000000000))
(+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 5641895835477563/30000000000000000 (pow.f64 z 3)))))
(fma.f64 5641895835477563/10000000000000000 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (*.f64 5641895835477563/30000000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 5641895835477563/30000000000000000 (pow.f64 z 3) (*.f64 z 5641895835477563/5000000000000000)) (fma.f64 (*.f64 z z) 5641895835477563/10000000000000000 5641895835477563/5000000000000000))
(fma.f64 z (*.f64 z 5641895835477563/10000000000000000) (fma.f64 z 5641895835477563/5000000000000000 (fma.f64 5641895835477563/30000000000000000 (pow.f64 z 3) 5641895835477563/5000000000000000)))

eval322.0ms (2.6%)

Compiler

Compiled 8361 to 4135 computations (50.5% saved)

prune80.0ms (0.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New36810378
Fresh000
Picked101
Done101
Total37010380
Error
0b
Counts
380 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
12.4b
(+.f64 x (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
26.8b
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y))
13.6b
(+.f64 x (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
0.1b
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
26.7b
(+.f64 x (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563)))
13.6b
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
20.3b
(+.f64 x (/.f64 -1 x))
12.5b
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
22.5b
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
13.6b
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
Compiler

Compiled 258 to 186 computations (27.9% saved)

localize50.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 41 to 18 computations (56.1% saved)

series12.0ms (0.1%)

Counts
3 → 76
Calls

24 calls:

TimeVariablePointExpression
1.0ms
z
@0
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))
1.0ms
z
@inf
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))
1.0ms
z
@-inf
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))
1.0ms
x
@0
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
0.0ms
y
@inf
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))

rewrite110.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
529×unpow-prod-down_binary64
457×log-prod_binary64
360×exp-prod_binary64
261×pow2_binary64
232×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01029
120229
2244029
Stop Event
node limit
Counts
3 → 161
Calls
Call 1
Inputs
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(/.f64 (exp.f64 z) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule 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(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) -2) (pow.f64 (neg.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) -1/2) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) -2) -1) 1/3) (cbrt.f64 (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) -2) (cbrt.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) -2))) 1/3) (cbrt.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 5/2) 1/3) (cbrt.f64 (pow.f64 (neg.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 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*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (exp.f64 z))) -1) (pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (exp.f64 z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 z) y) 2) 1/2)))) (#(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 pow.f64 (exp.f64 1) (-.f64 z (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (exp.f64 z) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (exp.f64 z)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 z (log.f64 y))) 2)) (cbrt.f64 (-.f64 z (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 z (log.f64 y)))) (sqrt.f64 (-.f64 z (log.f64 y))))))) (#(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 expm1.f64 (log1p.f64 (/.f64 (exp.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 z) y)))))) (#(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 exp.f64 (*.f64 (*.f64 3 (-.f64 z (log.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 z (log.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 z (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 y) z) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 z (log.f64 y)) 1) 1))))))

simplify129.0ms (1%)

Algorithm
egg-herbie
Rules
920×fma-neg_binary64
879×times-frac_binary64
469×associate-/r*_binary64
447×associate-/l*_binary64
380×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01261648
13681614
212371585
374201582
Stop Event
node limit
Counts
237 → 204
Calls
Call 1
Inputs
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (*.f64 y (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))) (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))))) (pow.f64 z 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2))))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y)) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(/.f64 1 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)))))
Outputs
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))
(/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))
(/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))
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(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 z y))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) y)) (+.f64 (/.f64 1 y) (/.f64 z y)))
(fma.f64 1/2 (/.f64 (*.f64 z z) y) (+.f64 (/.f64 1 y) (/.f64 z y)))
(+.f64 (/.f64 z y) (fma.f64 (/.f64 z (/.f64 y z)) 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1 y) (fma.f64 (*.f64 (/.f64 z y) z) 1/2 (/.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)))))
(fma.f64 1/2 (/.f64 (*.f64 z z) y) (+.f64 (/.f64 1 y) (+.f64 (/.f64 z y) (/.f64 (*.f64 1/6 (pow.f64 z 3)) y))))
(+.f64 (fma.f64 (/.f64 (pow.f64 z 3) y) 1/6 (/.f64 z y)) (fma.f64 (/.f64 z (/.f64 y z)) 1/2 (/.f64 1 y)))
(+.f64 (fma.f64 (/.f64 (pow.f64 z 3) y) 1/6 (/.f64 z y)) (fma.f64 (*.f64 (/.f64 z y) z) 1/2 (/.f64 1 y)))

localize7.0ms (0.1%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 31 to 21 computations (32.3% saved)

series33.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
25.0ms
y
@0
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
1.0ms
x
@0
(/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))
1.0ms
x
@inf
(/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))
1.0ms
x
@0
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
1.0ms
y
@0
(/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))

rewrite107.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

simplify103.0ms (0.8%)

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

Useful iterations: 3 (0.0ms)

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 43 to 32 computations (25.6% saved)

series7.0ms (0.1%)

Counts
4 → 66
Calls

21 calls:

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

rewrite108.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
535×log-prod_binary64
366×fma-def_binary64
324×pow-prod-down_binary64
309×pow2_binary64
212×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01134
124534
2331034
Stop Event
node limit
Counts
4 → 213
Calls
Call 1
Inputs
(*.f64 5641895835477563/5000000000000000 (/.f64 1 y))
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(+.f64 x (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
Outputs
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egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2)) (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (neg.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) -1/2) (pow.f64 (neg.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) -1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y -3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000))) (fma.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x) (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (-.f64 (*.f64 x x) (*.f64 (pow.f64 y -2) 31830988618379068626528276418969/25000000000000000000000000000000))) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x) x)))))

simplify99.0ms (0.8%)

Algorithm
egg-herbie
Rules
670×distribute-neg-frac_binary64
443×sub-neg_binary64
414×unswap-sqr_binary64
320×*-commutative_binary64
302×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0691129
11961095
26071088
324861086
471911086
Stop Event
node limit
Counts
279 → 248
Calls
Call 1
Inputs
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(/.f64 -5641895835477563/5000000000000000 y)
x
x
(/.f64 -5641895835477563/5000000000000000 y)
x
x
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x))
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x)))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x))))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) x))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) x)))
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
Outputs
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (*.f64 y 5000000000000000/5641895835477563))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (*.f64 y 5000000000000000/5641895835477563))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 y 5000000000000000/5641895835477563)))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 y 5000000000000000/5641895835477563)))
(fma.f64 y 5000000000000000/5641895835477563 (*.f64 x (+.f64 (*.f64 y (*.f64 y 25000000000000000000000000000000/31830988618379068626528276418969)) (*.f64 x (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))))))
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(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(-.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(-.f64 x (+.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -5641895835477563/5000000000000000 y) (*.f64 x x))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (-.f64 x (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 x (+.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (-.f64 (/.f64 1 x) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))) (/.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 4))))
(+.f64 x (+.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (-.f64 (/.f64 1 x) (/.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 y) y) (pow.f64 x 3)))) (/.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 4))))

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
0.2b
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y))
0.3b
(*.f64 5641895835477563/5000000000000000 (/.f64 1 y))
0.5b
(/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))
Compiler

Compiled 78 to 48 computations (38.5% saved)

series17.0ms (0.1%)

Counts
3 → 48
Calls

24 calls:

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

rewrite159.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
761×log-prod_binary64
586×fma-def_binary64
307×fma-neg_binary64
283×expm1-udef_binary64
283×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01538
133338
2454038
Stop Event
node limit
Counts
3 → 207
Calls
Call 1
Inputs
(/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -5641895835477563/5000000000000000) (/.f64 z y))) (cbrt.f64 (pow.f64 (exp.f64 -5641895835477563/5000000000000000) (/.f64 z y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5641895835477563/5000000000000000) (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5641895835477563/5000000000000000) (/.f64 z y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5641895835477563/5000000000000000) (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -5641895835477563/5000000000000000 (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 -5641895835477563/5000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -5641895835477563/5000000000000000 z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -5641895835477563/5000000000000000 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -5641895835477563/5000000000000000 z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -5641895835477563/5000000000000000 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -5641895835477563/5000000000000000 z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) -5641895835477563/5000000000000000) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -5641895835477563/5000000000000000 (neg.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 z y) 3) -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 31830988618379068626528276418969/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -5641895835477563/5000000000000000) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) 3) -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (*.f64 (/.f64 -5641895835477563/5000000000000000 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (/.f64 -5641895835477563/5000000000000000 y))) (fma.f64 (/.f64 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simplify109.0ms (0.9%)

Algorithm
egg-herbie
Rules
806×associate-/r*_binary64
546×associate-*r*_binary64
511×associate-*l*_binary64
497×fma-def_binary64
294×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01481574
14471475
218121332
Stop Event
node limit
Counts
255 → 258
Calls
Call 1
Inputs
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3))))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 4)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
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(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
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(/.f64 -1 x)
(-.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
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(/.f64 -1 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))
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(-.f64 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 4)) (+.f64 (/.f64 x (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3))))) (/.f64 1 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2) (pow.f64 x 3)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3) (pow.f64 x 4)) (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2) (pow.f64 x 3))))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2) (pow.f64 x 3)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3) (pow.f64 x 4)) (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2) (pow.f64 x 3))))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y))
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y))
(/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)
x
x
(+.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y)) x)
(+.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y)) x)
(+.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y)) x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
x
x
Outputs
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))
(/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))
(/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))
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(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2)))) (/.f64 1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
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(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
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(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(/.f64 5000000000000000/5641895835477563 (/.f64 z y))
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(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3) (pow.f64 x 4)) (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2) (pow.f64 x 3))))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (*.f64 x x))) (+.f64 (neg.f64 (/.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) 2) (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))))) (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 x (*.f64 x y))) (-.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y) 3) (pow.f64 x 4)) (/.f64 (pow.f64 (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y) 2) (pow.f64 x 3))) (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 x (*.f64 x y))) (/.f64 1 x))))
(+.f64 (-.f64 (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) (*.f64 x (*.f64 x y))) (/.f64 (pow.f64 (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y) 2) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y) 3) (pow.f64 x 4)) (/.f64 -1 x)))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (*.f64 x x)))) (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(+.f64 (-.f64 (/.f64 z (/.f64 (*.f64 x (*.f64 x y)) -5641895835477563/5000000000000000)) (/.f64 5641895835477563/5000000000000000 (*.f64 x (*.f64 x y)))) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) (*.f64 x (*.f64 x y))))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2) (pow.f64 x 3)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))))) (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(+.f64 (-.f64 (-.f64 (/.f64 z (/.f64 (*.f64 x (*.f64 x y)) -5641895835477563/5000000000000000)) (/.f64 (pow.f64 (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y) 2) (pow.f64 x 3))) (/.f64 5641895835477563/5000000000000000 (*.f64 x (*.f64 x y)))) (/.f64 -1 x))
(+.f64 (-.f64 (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) (*.f64 x (*.f64 x y))) (/.f64 (pow.f64 (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y) 2) (pow.f64 x 3))) (/.f64 -1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3) (pow.f64 x 4)) (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2) (pow.f64 x 3))))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (*.f64 x x))) (+.f64 (neg.f64 (/.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) 2) (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))))) (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 x (*.f64 x y))) (-.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y) 3) (pow.f64 x 4)) (/.f64 (pow.f64 (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y) 2) (pow.f64 x 3))) (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 x (*.f64 x y))) (/.f64 1 x))))
(+.f64 (-.f64 (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) (*.f64 x (*.f64 x y))) (/.f64 (pow.f64 (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y) 2) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y) 3) (pow.f64 x 4)) (/.f64 -1 x)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y))
(/.f64 -5641895835477563/5000000000000000 (/.f64 y z))
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y))
(/.f64 -5641895835477563/5000000000000000 (/.f64 y z))
(/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)
x
x
(+.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y)) x)
(fma.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) x)
(-.f64 x (/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) y))
(+.f64 x (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y))
(+.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y)) x)
(fma.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) x)
(-.f64 x (/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) y))
(+.f64 x (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y))
(+.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y)) x)
(fma.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) x)
(-.f64 x (/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) y))
(+.f64 x (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)
x
x

eval643.0ms (5.1%)

Compiler

Compiled 18686 to 12326 computations (34% saved)

prune154.0ms (1.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New9397946
Fresh325
Picked101
Done224
Total94511956
Error
0b
Counts
956 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
12.4b
(+.f64 x (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (/.f64 5641895835477563/5000000000000000 y))))
26.7b
(+.f64 x (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563)))
20.3b
(+.f64 x (/.f64 -1 x))
38.5b
(+.f64 x (/.f64 5000000000000000/5641895835477563 (/.f64 z y)))
13.6b
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
38.5b
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
27.1b
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
27.1b
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
13.6b
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
13.6b
(+.f64 x (/.f64 -1 (-.f64 x (/.f64 1 (/.f64 y 5641895835477563/5000000000000000)))))
22.7b
(+.f64 x (/.f64 -1 (/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)))
Compiler

Compiled 234 to 173 computations (26.1% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (/.f64 5641895835477563/5000000000000000 y))
0.2b
(/.f64 5641895835477563/5000000000000000 y)
0.2b
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y))
0.5b
(/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (/.f64 5641895835477563/5000000000000000 y)))
Compiler

Compiled 66 to 37 computations (43.9% saved)

series7.0ms (0.1%)

Counts
3 → 72
Calls

21 calls:

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

rewrite116.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
697×log-prod_binary64
578×fma-def_binary64
302×fma-neg_binary64
264×expm1-udef_binary64
264×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01335
129635
2423835
Stop Event
node limit
Counts
3 → 216
Calls
Call 1
Inputs
(/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (/.f64 5641895835477563/5000000000000000 y)))
(/.f64 5641895835477563/5000000000000000 y)
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (/.f64 5641895835477563/5000000000000000 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1 (+.f64 x (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (/.f64 -5641895835477563/5000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 x (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (/.f64 -5641895835477563/5000000000000000 y)))))) (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 x (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (/.f64 -5641895835477563/5000000000000000 y)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 x (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (/.f64 -5641895835477563/5000000000000000 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (+.f64 x (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (/.f64 -5641895835477563/5000000000000000 y))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (+.f64 x (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (/.f64 -5641895835477563/5000000000000000 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 x (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (/.f64 -5641895835477563/5000000000000000 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 x (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (/.f64 -5641895835477563/5000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 x (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (/.f64 -5641895835477563/5000000000000000 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 x (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (/.f64 -5641895835477563/5000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (/.f64 -5641895835477563/5000000000000000 y))))) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (fma.f64 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(cbrt.f64 (/.f64 z y)) 2)) (cbrt.f64 (/.f64 z y)) (*.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -5641895835477563/5000000000000000 (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -5641895835477563/5000000000000000 (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)) (*.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 1))))))

simplify74.0ms (0.6%)

Algorithm
egg-herbie
Rules
801×associate-/r*_binary64
546×associate-*r*_binary64
510×associate-*l*_binary64
509×fma-def_binary64
292×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01501910
14541739
218261596
Stop Event
node limit
Counts
288 → 269
Calls
Call 1
Inputs
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3))))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 4)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (pow.f64 z 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)) (pow.f64 z 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (pow.f64 z 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (pow.f64 z 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)) (pow.f64 z 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (pow.f64 z 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 2)) (*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 3))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 2)) (*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 3))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 4)) (*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))))))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(/.f64 -1 x)
(-.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(/.f64 -1 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))
(-.f64 (/.f64 x (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (/.f64 1 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (/.f64 1 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 4)) (+.f64 (/.f64 x (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3))))) (/.f64 1 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2) (pow.f64 x 3)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3) (pow.f64 x 4)) (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2) (pow.f64 x 3))))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2) (pow.f64 x 3)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3) (pow.f64 x 4)) (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2) (pow.f64 x 3))))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) 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 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) 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 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) 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 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
x
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) 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 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
x
(+.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y)) x)
(+.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y)) x)
(+.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y)) x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
x
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) 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 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
x
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) 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 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
Outputs
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))
(/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))
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localize6.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiled 14 to 9 computations (35.7% saved)

series4.0ms (0%)

Counts
2 → 6
Calls

9 calls:

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

rewrite77.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11319
217329
Stop Event
node limit
Counts
2 → 46
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 5000000000000000/5641895835477563 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2) (-.f64 (*.f64 5000000000000000/5641895835477563 y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 5000000000000000/5641895835477563 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 5000000000000000/5641895835477563 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 5000000000000000/5641895835477563 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) (pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 2) (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 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(/.f64 (-.f64 (*.f64 5000000000000000/5641895835477563 y) x) (-.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2) (*.f64 x (-.f64 x (*.f64 5000000000000000/5641895835477563 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2) (*.f64 5000000000000000/5641895835477563 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2) (*.f64 x x)) (-.f64 (*.f64 5000000000000000/5641895835477563 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2) (*.f64 x (-.f64 x (*.f64 5000000000000000/5641895835477563 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 5000000000000000/5641895835477563 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2)) (-.f64 x (*.f64 5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 5000000000000000/5641895835477563 y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 5000000000000000/5641895835477563 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 5000000000000000/5641895835477563 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 5000000000000000/5641895835477563 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 5000000000000000/5641895835477563 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 2) (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 5000000000000000/5641895835477563 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) x)))))

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 22 to 16 computations (27.3% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite80.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

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

simplify14.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
0.0b
(-.f64 5641895835477563/5000000000000000 (*.f64 y x))
7.4b
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
Compiler

Compiled 30 to 14 computations (53.3% saved)

series7.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite97.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
118930
2280830
Stop Event
node limit
Counts
3 → 152
Calls
Call 1
Inputs
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
(-.f64 5641895835477563/5000000000000000 (*.f64 y x))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 5641895835477563/5000000000000000 (*.f64 (*.f64 y (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 x)) 5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (neg.f64 y) 5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (neg.f64 y) 5641895835477563/5000000000000000))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (neg.f64 y) 5641895835477563/5000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (neg.f64 y) 5641895835477563/5000000000000000)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (neg.f64 y) 5641895835477563/5000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (neg.f64 y) 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simplify104.0ms (0.8%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
0701257
12071197
26391180
325521178
473841178
Stop Event
node limit
Counts
224 → 190
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
5641895835477563/5000000000000000
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
5641895835477563/5000000000000000
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x))
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x)))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x))))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) x))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) x)))
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
Outputs
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (*.f64 5000000000000000/5641895835477563 y))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (*.f64 5000000000000000/5641895835477563 y))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 x (pow.f64 y 3))))))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 y (*.f64 y 25000000000000000000000000000000/31830988618379068626528276418969)) (*.f64 (pow.f64 y 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 x)))))
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 x (pow.f64 y 3))) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)))))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 x (pow.f64 y 3)))))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 y (*.f64 y 25000000000000000000000000000000/31830988618379068626528276418969)) (*.f64 (pow.f64 y 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 x))))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 x (pow.f64 y 3))) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(-.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))
(+.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(+.f64 (+.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(-.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))
(+.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(+.f64 (+.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (*.f64 5000000000000000/5641895835477563 y))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (*.f64 5000000000000000/5641895835477563 y))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 x (pow.f64 y 3))))))
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(+.f64 x (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(+.f64 x (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (+.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))) x))
(+.f64 (/.f64 -1 x) (-.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)) (-.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) x)))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) (+.f64 x (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x)))))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) x))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (-.f64 1 (*.f64 (*.f64 y y) -25000000000000000000000000000000/31830988618379068626528276418969))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 5000000000000000/5641895835477563 y x))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) x)))
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 x (-.f64 1 (*.f64 (*.f64 y y) -25000000000000000000000000000000/31830988618379068626528276418969)))))
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 x (pow.f64 y 3))) (fma.f64 5000000000000000/5641895835477563 y (*.f64 x (-.f64 1 (*.f64 (*.f64 y y) -25000000000000000000000000000000/31830988618379068626528276418969)))))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 (pow.f64 y 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 x)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y) 1))))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y) 1) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (pow.f64 y 3))))))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))))
(+.f64 (+.f64 x (/.f64 -1 x)) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))
(+.f64 x (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(+.f64 x (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (+.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))) x))
(+.f64 (/.f64 -1 x) (-.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)) (-.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) x)))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) (+.f64 x (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x)))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(-.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (-.f64 (+.f64 (+.f64 x (/.f64 -1 x)) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))
(+.f64 x (+.f64 (+.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))))
(+.f64 (+.f64 x (/.f64 -1 x)) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))
(+.f64 x (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(+.f64 x (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (+.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))) x))
(+.f64 (/.f64 -1 x) (-.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)) (-.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) x)))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) (+.f64 x (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x)))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(-.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (-.f64 (+.f64 (+.f64 x (/.f64 -1 x)) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))
(+.f64 x (+.f64 (+.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)
0.2b
(*.f64 -5641895835477563/5000000000000000 z)
0.2b
(/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)
0.6b
(/.f64 -1 (/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y))
Compiler

Compiled 44 to 32 computations (27.3% saved)

series11.0ms (0.1%)

Counts
4 → 39
Calls

18 calls:

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

rewrite116.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
520×log-prod_binary64
412×exp-prod_binary64
282×pow2_binary64
265×pow-prod-down_binary64
196×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01028
122427
2292927
Stop Event
node limit
Counts
4 → 240
Calls
Call 1
Inputs
(/.f64 -1 (/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y))
(/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)
(*.f64 -5641895835477563/5000000000000000 z)
(-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (neg.f64 y) (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (neg.f64 y) (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (neg.f64 y) (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (neg.f64 y) (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (neg.f64 y) (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 y) (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (neg.f64 y) (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (neg.f64 y) (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y) -2)) (cbrt.f64 (/.f64 (neg.f64 y) (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (neg.f64 y) (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) (sqrt.f64 (/.f64 (neg.f64 y) (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (neg.f64 y) (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (neg.f64 y) (fma.f64 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1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z) (fma.f64 z -31830988618379068626528276418969/25000000000000000000000000000000 31830988618379068626528276418969/25000000000000000000000000000000)) (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3) -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z) -31830988618379068626528276418969/25000000000000000000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) 2)) (cbrt.f64 (log.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))) (sqrt.f64 (log.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -5641895835477563/5000000000000000 z) 1 -5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -5641895835477563/5000000000000000 z) -5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -5641895835477563/5000000000000000 z)) (cbrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))) -5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))) (cbrt.f64 (*.f64 -5641895835477563/5000000000000000 z)) -5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) -5641895835477563/5000000000000000) -5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -5641895835477563/5000000000000000 z)) (sqrt.f64 (*.f64 -5641895835477563/5000000000000000 z)) -5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) -5641895835477563/5000000000000000) -5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) -5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -5641895835477563/5000000000000000 (sqrt.f64 z)) (sqrt.f64 z) -5641895835477563/5000000000000000)))))

simplify75.0ms (0.6%)

Algorithm
egg-herbie
Rules
763×fma-def_binary64
676×associate-/l*_binary64
650×associate-/l/_binary64
555×distribute-lft-out_binary64
465×associate-*l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
050504
1135483
2350427
31028404
43521390
57980390
Stop Event
node limit
Counts
279 → 264
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 3))))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4))) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4))) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(/.f64 -5641895835477563/5000000000000000 y)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
-5641895835477563/5000000000000000
(*.f64 -5641895835477563/5000000000000000 z)
(*.f64 -5641895835477563/5000000000000000 z)
Outputs
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 5000000000000000/5641895835477563 y))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)))
(*.f64 y (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 5000000000000000/5641895835477563 (fma.f64 y (*.f64 z z) y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z (+.f64 -5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 z)))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 3))))))
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 y z) (*.f64 y (pow.f64 z 3))))))
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 (*.f64 y -5000000000000000/5641895835477563) (+.f64 (pow.f64 z 3) z))))
(fma.f64 (*.f64 y -5000000000000000/5641895835477563) (+.f64 z (pow.f64 z 3)) (*.f64 5000000000000000/5641895835477563 (fma.f64 y (*.f64 z z) y)))
(*.f64 (fma.f64 z z 1) (*.f64 y (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)))
(*.f64 y (*.f64 (fma.f64 z z 1) (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (*.f64 z z))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 (/.f64 y z) z)))
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (*.f64 z z)))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 (/.f64 y z) z))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))))
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (+.f64 (/.f64 5000000000000000/5641895835477563 (*.f64 z z)) (/.f64 -5000000000000000/5641895835477563 z))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4))) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (+.f64 (/.f64 y (pow.f64 z 4)) (/.f64 y (*.f64 z z))))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (+.f64 (/.f64 (/.f64 y z) z) (/.f64 y (pow.f64 z 4))))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4)) (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))))
(fma.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (*.f64 (/.f64 y (pow.f64 z 3)) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))))
(*.f64 (+.f64 (/.f64 y z) (/.f64 y (pow.f64 z 3))) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (*.f64 z z))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 (/.f64 y z) z)))
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (*.f64 z z)))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 (/.f64 y z) z))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))))
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (+.f64 (/.f64 5000000000000000/5641895835477563 (*.f64 z z)) (/.f64 -5000000000000000/5641895835477563 z))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4))) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (+.f64 (/.f64 y (pow.f64 z 4)) (/.f64 y (*.f64 z z))))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (+.f64 (/.f64 (/.f64 y z) z) (/.f64 y (pow.f64 z 4))))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4)) (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))))
(fma.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (*.f64 (/.f64 y (pow.f64 z 3)) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))))
(*.f64 (+.f64 (/.f64 y z) (/.f64 y (pow.f64 z 3))) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(neg.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))
(/.f64 (neg.f64 y) (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000))
(*.f64 (/.f64 y (+.f64 z 1)) 5000000000000000/5641895835477563)
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))
(/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(neg.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))
(/.f64 (neg.f64 y) (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000))
(*.f64 (/.f64 y (+.f64 z 1)) 5000000000000000/5641895835477563)
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))
(/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(neg.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))
(/.f64 (neg.f64 y) (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000))
(*.f64 (/.f64 y (+.f64 z 1)) 5000000000000000/5641895835477563)
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))
(/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(neg.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))
(/.f64 (neg.f64 y) (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000))
(*.f64 (/.f64 y (+.f64 z 1)) 5000000000000000/5641895835477563)
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))
(/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(neg.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))
(/.f64 (neg.f64 y) (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000))
(*.f64 (/.f64 y (+.f64 z 1)) 5000000000000000/5641895835477563)
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))
(/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(neg.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))
(/.f64 (neg.f64 y) (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000))
(*.f64 (/.f64 y (+.f64 z 1)) 5000000000000000/5641895835477563)
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))
(/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(neg.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))
(/.f64 (neg.f64 y) (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000))
(*.f64 (/.f64 y (+.f64 z 1)) 5000000000000000/5641895835477563)
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))
(/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(neg.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))
(/.f64 (neg.f64 y) (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000))
(*.f64 (/.f64 y (+.f64 z 1)) 5000000000000000/5641895835477563)
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))
(/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(neg.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))
(/.f64 (neg.f64 y) (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000))
(*.f64 (/.f64 y (+.f64 z 1)) 5000000000000000/5641895835477563)
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))
(/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(neg.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))
(/.f64 (neg.f64 y) (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000))
(*.f64 (/.f64 y (+.f64 z 1)) 5000000000000000/5641895835477563)
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))
(/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(neg.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))
(/.f64 (neg.f64 y) (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000))
(*.f64 (/.f64 y (+.f64 z 1)) 5000000000000000/5641895835477563)
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))
(/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(neg.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))
(/.f64 (neg.f64 y) (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000))
(*.f64 (/.f64 y (+.f64 z 1)) 5000000000000000/5641895835477563)
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))
(/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y))
(/.f64 -5641895835477563/5000000000000000 y)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (/.f64 5641895835477563/5000000000000000 y))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (/.f64 -5641895835477563/5000000000000000 y))
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (/.f64 5641895835477563/5000000000000000 y))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (/.f64 -5641895835477563/5000000000000000 y))
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (/.f64 5641895835477563/5000000000000000 y))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (/.f64 -5641895835477563/5000000000000000 y))
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y))
(/.f64 (*.f64 z -5641895835477563/5000000000000000) y)
(*.f64 z (/.f64 -5641895835477563/5000000000000000 y))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (/.f64 5641895835477563/5000000000000000 y))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (/.f64 -5641895835477563/5000000000000000 y))
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (/.f64 5641895835477563/5000000000000000 y))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (/.f64 -5641895835477563/5000000000000000 y))
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (/.f64 5641895835477563/5000000000000000 y))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (/.f64 -5641895835477563/5000000000000000 y))
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y))
(/.f64 (*.f64 z -5641895835477563/5000000000000000) y)
(*.f64 z (/.f64 -5641895835477563/5000000000000000 y))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (/.f64 5641895835477563/5000000000000000 y))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (/.f64 -5641895835477563/5000000000000000 y))
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (/.f64 5641895835477563/5000000000000000 y))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (/.f64 -5641895835477563/5000000000000000 y))
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (/.f64 5641895835477563/5000000000000000 y))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (/.f64 -5641895835477563/5000000000000000 y))
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
-5641895835477563/5000000000000000
(*.f64 -5641895835477563/5000000000000000 z)
(*.f64 z -5641895835477563/5000000000000000)
(*.f64 -5641895835477563/5000000000000000 z)
(*.f64 z -5641895835477563/5000000000000000)

eval371.0ms (3%)

Compiler

Compiled 17161 to 11292 computations (34.2% saved)

prune419.0ms (3.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New8725877
Fresh224
Picked101
Done336
Total87810888
Error
0b
Counts
888 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
22.7b
(+.f64 x (/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y)))
52.5b
(*.f64 5000000000000000/5641895835477563 y)
26.7b
(+.f64 x (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563)))
22.7b
(+.f64 x (/.f64 -1 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (/.f64 5641895835477563/5000000000000000 y))))
27.1b
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
25.2b
x
13.6b
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
20.3b
(+.f64 x (/.f64 -1 x))
13.6b
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
13.6b
(+.f64 x (/.f64 -1 (-.f64 x (/.f64 1 (/.f64 y 5641895835477563/5000000000000000)))))
Compiler

Compiled 170 to 128 computations (24.7% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 43 to 32 computations (25.6% saved)

series6.0ms (0.1%)

Counts
4 → 72
Calls

18 calls:

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

rewrite109.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
500×prod-diff_binary64
465×log-prod_binary64
270×pow2_binary64
253×pow-prod-down_binary64
194×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01034
122025
2285225
Stop Event
node limit
Counts
4 → 229
Calls
Call 1
Inputs
(/.f64 1 (/.f64 y 5641895835477563/5000000000000000))
(/.f64 y 5641895835477563/5000000000000000)
(/.f64 -1 (-.f64 x (/.f64 1 (/.f64 y 5641895835477563/5000000000000000))))
(-.f64 x (/.f64 1 (/.f64 y 5641895835477563/5000000000000000)))
Outputs
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(neg.f64 (/.f64 1 y)) 5641895835477563/5000000000000000 x)))))

simplify150.0ms (1.2%)

Algorithm
egg-herbie
Rules
700×distribute-lft-out_binary64
674×distribute-neg-frac_binary64
414×unswap-sqr_binary64
315×*-commutative_binary64
218×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
057816
1156792
2475788
31989786
45383786
Stop Event
node limit
Counts
301 → 247
Calls
Call 1
Inputs
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(/.f64 -5641895835477563/5000000000000000 y)
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
x
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
x
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(/.f64 -5641895835477563/5000000000000000 y)
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
x
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
x
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
Outputs
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
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(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(+.f64 (+.f64 (+.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 y) (*.f64 x x)) (/.f64 -1 x)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(+.f64 (/.f64 -1 x) (-.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (/.f64 5641895835477563/5000000000000000 y) (*.f64 x x)) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (*.f64 y y)))))
(-.f64 (-.f64 (/.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 x 4)) (pow.f64 y 3)) (+.f64 (/.f64 (/.f64 5641895835477563/5000000000000000 y) (*.f64 x x)) (/.f64 1 x))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 y) (*.f64 x x)) (/.f64 -1 x))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(-.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 y) (*.f64 x x)) (/.f64 -1 x)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(+.f64 (+.f64 (+.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 y) (*.f64 x x)) (/.f64 -1 x)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(+.f64 (/.f64 -1 x) (-.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (/.f64 5641895835477563/5000000000000000 y) (*.f64 x x)) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (*.f64 y y)))))
(-.f64 (-.f64 (/.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 x 4)) (pow.f64 y 3)) (+.f64 (/.f64 (/.f64 5641895835477563/5000000000000000 y) (*.f64 x x)) (/.f64 1 x))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))
(/.f64 -5641895835477563/5000000000000000 y)
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
x
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
x
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
(/.f64 -5641895835477563/5000000000000000 y)
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
x
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
x
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(*.f64 5000000000000000/5641895835477563 y)
Compiler

Compiled 8 to 6 computations (25% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiled 14 to 9 computations (35.7% saved)

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite87.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
743×pow1_binary64
701×add-log-exp_binary64
701×log1p-expm1-u_binary64
701×expm1-log1p-u_binary64
688×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067
11385
218895
Stop Event
node limit
Counts
1 → 34
Calls
Call 1
Inputs
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y 5000000000000000/5641895835477563 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 5000000000000000/5641895835477563))) (/.f64 (*.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969) (-.f64 x (*.f64 y 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y 5000000000000000/5641895835477563 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) (pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2) (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969)) (/.f64 1 (-.f64 x (*.f64 y 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 y 5000000000000000/5641895835477563)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (+.f64 (*.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y 5000000000000000/5641895835477563)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969)) (-.f64 x (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969))) (neg.f64 (-.f64 x (*.f64 y 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969) (*.f64 x x)) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 5000000000000000/5641895835477563 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y 5000000000000000/5641895835477563) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2) (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 5000000000000000/5641895835477563))))))

simplify41.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
06105
19105
210105
Stop Event
saturated
Counts
58 → 38
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
Outputs
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y)))
0.0b
(/.f64 (+.f64 z 1) y)
0.7b
(/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y))
Compiler

Compiled 32 to 21 computations (34.4% saved)

series21.0ms (0.2%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
7.0ms
x
@0
(+.f64 x (/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y)))
5.0ms
z
@0
(/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y))
1.0ms
y
@inf
(/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y))
1.0ms
y
@0
(/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y))
1.0ms
y
@-inf
(/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y))

rewrite231.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
876×prod-diff_binary64
532×log-prod_binary64
302×fma-def_binary64
203×pow1/3_binary64
200×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01030
122728
2324928
Stop Event
node limit
Counts
3 → 126
Calls
Call 1
Inputs
(/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y))
(/.f64 (+.f64 z 1) y)
(+.f64 x (/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 z 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 z 1) y))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 z 1) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 z 1) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 z 1) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 z 1) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 z 1) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 z 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z 1) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 z 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 z 1) 2)) (*.f64 (cbrt.f64 (+.f64 z 1)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 z 1) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 z 1) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 z 1) y)) 2) (cbrt.f64 (/.f64 (+.f64 z 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 z)) (*.f64 (hypot.f64 1 (sqrt.f64 z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 z 1) y)) (sqrt.f64 (/.f64 (+.f64 z 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 z)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (+.f64 z 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 z 1) 2)) 1) (/.f64 (cbrt.f64 (+.f64 z 1)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 z)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (+.f64 z 1) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 z 1) 2)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 (+.f64 z 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 z)) (cbrt.f64 (*.f64 y y))) (/.f64 (hypot.f64 1 (sqrt.f64 z)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 z 1) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 z 1) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 z 1)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 z 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 z 1) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 z 1) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 z 1) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 z 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 z 1) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (+.f64 z 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 z 1) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 z 1) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 z 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 z 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 z 1) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 z 1) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 z 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 z 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 z) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 z) (log.f64 y)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 -5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1))))) (/.f64 (/.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 (/.f64 (+.f64 z 1) y) 2)) (+.f64 x (*.f64 -5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1)) x)) (pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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(fma.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1)) (neg.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 (/.f64 (+.f64 z 1) y) 2)))) (neg.f64 (+.f64 x (*.f64 -5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 (/.f64 (+.f64 z 1) y) 2)) (*.f64 x x)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 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5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1))))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) (/.f64 y (+.f64 z 1))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1))))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 5000000000000000/5641895835477563) (/.f64 y (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 5000000000000000/5641895835477563 (+.f64 z 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1))) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1)))) (cbrt.f64 (/.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 (/.f64 (+.f64 z 1) y) 2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 (/.f64 (+.f64 z 1) y) 2))) (cbrt.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1)))) (sqrt.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -5000000000000000/5641895835477563 (/.f64 1 (/.f64 (+.f64 -1 (neg.f64 z)) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (+.f64 z 1)) 5000000000000000/5641895835477563 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 5000000000000000/5641895835477563 (+.f64 z 1)) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 5000000000000000/5641895835477563 (+.f64 -1 (neg.f64 z))) (neg.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 5000000000000000/5641895835477563 (+.f64 z 1)) 1) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 5000000000000000/5641895835477563 (+.f64 z 1)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 5000000000000000/5641895835477563 (+.f64 z 1)) (sqrt.f64 y)) (sqrt.f64 y) x)))))

simplify96.0ms (0.8%)

Algorithm
egg-herbie
Rules
820×distribute-lft-out_binary64
644×associate-/l/_binary64
641×associate-/l*_binary64
448×associate-*l/_binary64
416×distribute-rgt-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
058958
1162951
2423908
31304890
43159868
57681868
Stop Event
node limit
Counts
210 → 163
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 3))))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4))) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4))) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z)))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 z y))
(+.f64 (/.f64 1 y) (/.f64 z y))
(+.f64 (/.f64 1 y) (/.f64 z y))
(/.f64 z y)
(+.f64 (/.f64 1 y) (/.f64 z y))
(+.f64 (/.f64 1 y) (/.f64 z y))
(+.f64 (/.f64 1 y) (/.f64 z y))
(/.f64 z y)
(+.f64 (/.f64 1 y) (/.f64 z y))
(+.f64 (/.f64 1 y) (/.f64 z y))
(+.f64 (/.f64 1 y) (/.f64 z y))
(/.f64 (+.f64 1 z) y)
(/.f64 (+.f64 1 z) y)
(/.f64 (+.f64 1 z) y)
(/.f64 (+.f64 1 z) y)
(/.f64 (+.f64 1 z) y)
(/.f64 (+.f64 1 z) y)
(/.f64 (+.f64 1 z) y)
(/.f64 (+.f64 1 z) y)
(/.f64 (+.f64 1 z) y)
(/.f64 (+.f64 1 z) y)
(/.f64 (+.f64 1 z) y)
(/.f64 (+.f64 1 z) y)
(*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z))) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z))) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 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 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 3))) x))))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x)))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x)))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z))) x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z))) x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z))) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 1 z))) x)
Outputs
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 5000000000000000/5641895835477563 y))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 5000000000000000/5641895835477563 (fma.f64 y (*.f64 z z) y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 5000000000000000/5641895835477563 z) -5000000000000000/5641895835477563)) 5000000000000000/5641895835477563))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z (+.f64 -5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 z)))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 3))))))
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 y z) (*.f64 y (pow.f64 z 3))))))
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 (*.f64 y -5000000000000000/5641895835477563) (+.f64 (pow.f64 z 3) z))))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 y (+.f64 z (pow.f64 z 3))) (*.f64 5000000000000000/5641895835477563 (fma.f64 y (*.f64 z z) y)))
(*.f64 (+.f64 (*.f64 z z) 1) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))))
(*.f64 (fma.f64 y (*.f64 z z) y) (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (*.f64 z z))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 (/.f64 y z) z)))
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (*.f64 z z)))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 (/.f64 y z) z))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 (/.f64 y (*.f64 z z)) (+.f64 (/.f64 5000000000000000/5641895835477563 z) -5000000000000000/5641895835477563)))
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (+.f64 (/.f64 5000000000000000/5641895835477563 (*.f64 z z)) (/.f64 -5000000000000000/5641895835477563 z))))
(*.f64 (/.f64 y z) (+.f64 (/.f64 5000000000000000/5641895835477563 (*.f64 z z)) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))))
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(fma.f64 5000000000000000/5641895835477563 (/.f64 y (+.f64 z 1)) x)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (/.f64 5641895835477563/5000000000000000 y))
0.2b
(/.f64 5641895835477563/5000000000000000 y)
0.2b
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y))
0.6b
(/.f64 -1 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (/.f64 5641895835477563/5000000000000000 y)))
Compiler

Compiled 53 to 31 computations (41.5% saved)

series5.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite106.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
858×prod-diff_binary64
569×log-prod_binary64
267×fma-def_binary64
216×pow1/3_binary64
214×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01129
124523
2328419
Stop Event
node limit
Counts
2 → 174
Calls
Call 1
Inputs
(/.f64 -1 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (/.f64 5641895835477563/5000000000000000 y)))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (/.f64 5641895835477563/5000000000000000 y))
Outputs
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simplify70.0ms (0.6%)

Algorithm
egg-herbie
Rules
769×fma-def_binary64
726×associate-/l*_binary64
650×associate-/l/_binary64
552×distribute-lft-out_binary64
478×associate-*l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
056546
1148543
2378514
31080491
43689453
Stop Event
node limit
Counts
222 → 198
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 3))))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4))) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4))) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(/.f64 -5641895835477563/5000000000000000 y)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)
(/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)
(/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)
(/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)
(/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)
(/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)
(/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)
(/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)
(*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y))
(*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y))
(*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y))
(*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y))
Outputs
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 z (*.f64 y -5000000000000000/5641895835477563)))
(*.f64 y (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563))
(*.f64 y (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 z (*.f64 y -5000000000000000/5641895835477563))))
(fma.f64 5000000000000000/5641895835477563 (fma.f64 z (*.f64 y z) y) (*.f64 y (*.f64 -5000000000000000/5641895835477563 z)))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z (+.f64 -5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 z)))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 3))))))
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 y z) (*.f64 y (pow.f64 z 3))))))
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 (*.f64 y -5000000000000000/5641895835477563) (+.f64 z (pow.f64 z 3)))))
(fma.f64 5000000000000000/5641895835477563 (fma.f64 z (*.f64 y z) y) (*.f64 (*.f64 y -5000000000000000/5641895835477563) (+.f64 z (pow.f64 z 3))))
(*.f64 (fma.f64 z z 1) (*.f64 y (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)))
(*.f64 (fma.f64 y (*.f64 z z) y) (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (*.f64 z z))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 (/.f64 y z) z)))
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (*.f64 z z)))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 (/.f64 y z) z))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))))
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (+.f64 (/.f64 5000000000000000/5641895835477563 (*.f64 z z)) (/.f64 -5000000000000000/5641895835477563 z))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4))) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (+.f64 (/.f64 y (pow.f64 z 4)) (/.f64 y (*.f64 z z))))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 -5000000000000000/5641895835477563 (+.f64 (/.f64 (/.f64 y z) z) (/.f64 y (pow.f64 z 4))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4)) (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))))
(fma.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (*.f64 (/.f64 y (pow.f64 z 3)) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))))
(*.f64 (+.f64 (/.f64 y z) (/.f64 y (pow.f64 z 3))) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (*.f64 z z))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 (/.f64 y z) z)))
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (*.f64 z z)))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 (/.f64 y z) z))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))))
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (+.f64 (/.f64 5000000000000000/5641895835477563 (*.f64 z z)) (/.f64 -5000000000000000/5641895835477563 z))))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4))) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (+.f64 (/.f64 y (pow.f64 z 4)) (/.f64 y (*.f64 z z))))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 -5000000000000000/5641895835477563 (+.f64 (/.f64 (/.f64 y z) z) (/.f64 y (pow.f64 z 4))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4)) (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))))
(fma.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)) (*.f64 (/.f64 y (pow.f64 z 3)) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))))
(*.f64 (+.f64 (/.f64 y z) (/.f64 y (pow.f64 z 3))) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(neg.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))
(/.f64 (neg.f64 y) (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000))
(*.f64 (/.f64 y (+.f64 z 1)) 5000000000000000/5641895835477563)
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))
(/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(neg.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))
(/.f64 (neg.f64 y) (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000))
(*.f64 (/.f64 y (+.f64 z 1)) 5000000000000000/5641895835477563)
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))
(/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(neg.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))
(/.f64 (neg.f64 y) (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000))
(*.f64 (/.f64 y (+.f64 z 1)) 5000000000000000/5641895835477563)
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))
(/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(neg.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))
(/.f64 (neg.f64 y) (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000))
(*.f64 (/.f64 y (+.f64 z 1)) 5000000000000000/5641895835477563)
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))
(/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(neg.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))
(/.f64 (neg.f64 y) (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000))
(*.f64 (/.f64 y (+.f64 z 1)) 5000000000000000/5641895835477563)
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))
(/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(neg.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))
(/.f64 (neg.f64 y) (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000))
(*.f64 (/.f64 y (+.f64 z 1)) 5000000000000000/5641895835477563)
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))
(/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(neg.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))
(/.f64 (neg.f64 y) (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000))
(*.f64 (/.f64 y (+.f64 z 1)) 5000000000000000/5641895835477563)
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))
(/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000))
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(neg.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))
(/.f64 (neg.f64 y) (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000))
(*.f64 (/.f64 y (+.f64 z 1)) 5000000000000000/5641895835477563)
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))
(/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(neg.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))
(/.f64 (neg.f64 y) (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000))
(*.f64 (/.f64 y (+.f64 z 1)) 5000000000000000/5641895835477563)
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))
(/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(neg.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))
(/.f64 (neg.f64 y) (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000))
(*.f64 (/.f64 y (+.f64 z 1)) 5000000000000000/5641895835477563)
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))
(/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(neg.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))
(/.f64 (neg.f64 y) (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000))
(*.f64 (/.f64 y (+.f64 z 1)) 5000000000000000/5641895835477563)
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))
(/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(neg.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))
(/.f64 (neg.f64 y) (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000))
(*.f64 (/.f64 y (+.f64 z 1)) 5000000000000000/5641895835477563)
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))
(/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000))
(/.f64 -5641895835477563/5000000000000000 y)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y))
(*.f64 z (/.f64 -5641895835477563/5000000000000000 y))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y))
(*.f64 z (/.f64 -5641895835477563/5000000000000000 y))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y))
(/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y))
(/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y))
(/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)
(*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y))
(/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)
(/.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) y)

eval805.0ms (6.4%)

Compiler

Compiled 12700 to 8867 computations (30.2% saved)

prune148.0ms (1.2%)

Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New7421743
Fresh022
Picked011
Done167
Total74310753
Error
0b
Counts
753 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
52.5b
(*.f64 5000000000000000/5641895835477563 y)
26.7b
(+.f64 x (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563)))
22.7b
(+.f64 x (/.f64 -1 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (/.f64 5641895835477563/5000000000000000 y))))
27.1b
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
25.2b
x
13.6b
(+.f64 x (/.f64 -1 (-.f64 x (/.f64 1 (/.f64 y 5641895835477563/5000000000000000)))))
22.7b
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (+.f64 z 1)) y))
13.6b
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
20.3b
(+.f64 x (/.f64 -1 x))
13.6b
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
Compiler

Compiled 103 to 77 computations (25.2% saved)

regimes118.0ms (0.9%)

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

7 calls:

43.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
28.0ms
x
14.0ms
y
13.0ms
z
3.0ms
(exp.f64 z)
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
0.1b1(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
0.1b1(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
0.1b1(exp.f64 z)
Compiler

Compiled 274 to 175 computations (36.1% saved)

regimes92.0ms (0.7%)

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

7 calls:

16.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
13.0ms
z
13.0ms
y
12.0ms
x
10.0ms
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
0.1b1(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
0.1b1(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
0.1b1(exp.f64 z)
Compiler

Compiled 263 to 169 computations (35.7% saved)

regimes126.0ms (1%)

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

8 calls:

33.0ms
z
33.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
12.0ms
y
12.0ms
x
7.0ms
(exp.f64 z)
Results
ErrorSegmentsBranch
3.1b1x
3.1b1y
0.1b3z
1.1b2(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
0.1b3(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
0.1b3(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
0.1b3(exp.f64 z)
0.1b3(exp.f64 z)
Compiler

Compiled 257 to 167 computations (35% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000603443746
1.0003898137303708
0.0ms
0.0
0.9999998880908133
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes126.0ms (1%)

Counts
21 → 3
Calls
Call 1
Inputs
x
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 5000000000000000/5641895835477563 (/.f64 z y)))
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (+.f64 z 1)) y))
(+.f64 x (/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y)))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
(+.f64 x (/.f64 -1 (-.f64 x (/.f64 1 (/.f64 y 5641895835477563/5000000000000000)))))
(+.f64 x (/.f64 -1 (/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)))
(+.f64 x (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(+.f64 x (/.f64 -1 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (/.f64 5641895835477563/5000000000000000 y))))
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
(+.f64 x (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (/.f64 5641895835477563/5000000000000000 y))))
(+.f64 x (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y))
Outputs
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (/.f64 5641895835477563/5000000000000000 y))))
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y))
Calls

5 calls:

64.0ms
x
31.0ms
z
12.0ms
y
7.0ms
(exp.f64 z)
6.0ms
(exp.f64 z)
Results
ErrorSegmentsBranch
9.9b6x
12.4b1y
0.1b3z
0.1b3(exp.f64 z)
0.1b3(exp.f64 z)
Compiler

Compiled 208 to 135 computations (35.1% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000603443746
1.0003898137303708
0.0ms
0.0
0.9999998880908133
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes58.0ms (0.5%)

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

3 calls:

29.0ms
z
12.0ms
y
10.0ms
x
Results
ErrorSegmentsBranch
12.4b1x
12.4b1y
0.2b3z
Compiler

Compiled 190 to 122 computations (35.8% saved)

bsearch48.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
25.0ms
0.0003897377727374538
3522.2454679214266
23.0ms
-124265923633919950.0
-501374388.91305363
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes91.0ms (0.7%)

Counts
18 → 3
Calls
Call 1
Inputs
x
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 5000000000000000/5641895835477563 (/.f64 z y)))
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (+.f64 z 1)) y))
(+.f64 x (/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y)))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
(+.f64 x (/.f64 -1 (-.f64 x (/.f64 1 (/.f64 y 5641895835477563/5000000000000000)))))
(+.f64 x (/.f64 -1 (/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)))
(+.f64 x (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(+.f64 x (/.f64 -1 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (/.f64 5641895835477563/5000000000000000 y))))
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
Outputs
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
x
Calls

3 calls:

49.0ms
x
26.0ms
z
10.0ms
y
Results
ErrorSegmentsBranch
12.5b1x
12.5b1y
0.2b3z
Compiler

Compiled 158 to 102 computations (35.4% saved)

bsearch51.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
25.0ms
0.0003897377727374538
3522.2454679214266
26.0ms
-501374388.91305363
-1.1190919300892029e-7
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes120.0ms (1%)

Counts
17 → 3
Calls
Call 1
Inputs
x
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 5000000000000000/5641895835477563 (/.f64 z y)))
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (+.f64 z 1)) y))
(+.f64 x (/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y)))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
(+.f64 x (/.f64 -1 (-.f64 x (/.f64 1 (/.f64 y 5641895835477563/5000000000000000)))))
(+.f64 x (/.f64 -1 (/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)))
(+.f64 x (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(+.f64 x (/.f64 -1 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (/.f64 5641895835477563/5000000000000000 y))))
Outputs
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 -1 (-.f64 x (/.f64 1 (/.f64 y 5641895835477563/5000000000000000)))))
x
Calls

3 calls:

80.0ms
z
26.0ms
y
9.0ms
x
Results
ErrorSegmentsBranch
13.6b1x
11.5b3y
0.3b3z
Compiler

Compiled 145 to 95 computations (34.5% saved)

bsearch57.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
24.0ms
0.0003897377727374538
3522.2454679214266
32.0ms
-124265923633919950.0
-501374388.91305363
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes84.0ms (0.7%)

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

3 calls:

50.0ms
z
23.0ms
y
8.0ms
x
Results
ErrorSegmentsBranch
13.6b1x
11.5b3y
0.3b3z
Compiler

Compiled 99 to 63 computations (36.4% saved)

bsearch80.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
58.0ms
0.0003897377727374538
3522.2454679214266
22.0ms
-124265923633919950.0
-501374388.91305363
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes228.0ms (1.8%)

Counts
12 → 3
Calls
Call 1
Inputs
x
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 5000000000000000/5641895835477563 (/.f64 z y)))
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (+.f64 z 1)) y))
(+.f64 x (/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y)))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
Outputs
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
x
Calls

3 calls:

196.0ms
y
20.0ms
z
7.0ms
x
Results
ErrorSegmentsBranch
13.6b1x
11.5b3y
0.3b3z
Compiler

Compiled 90 to 57 computations (36.7% saved)

bsearch48.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
24.0ms
0.0003897377727374538
3522.2454679214266
24.0ms
-501374388.91305363
-1.1190919300892029e-7
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes117.0ms (0.9%)

Counts
11 → 5
Calls
Call 1
Inputs
x
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 5000000000000000/5641895835477563 (/.f64 z y)))
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (+.f64 z 1)) y))
(+.f64 x (/.f64 5000000000000000/5641895835477563 (/.f64 (+.f64 z 1) y)))
Outputs
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
(+.f64 x (/.f64 -1 x))
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (+.f64 z 1)) y))
x
Calls

3 calls:

58.0ms
z
35.0ms
x
20.0ms
y
Results
ErrorSegmentsBranch
13.6b5x
12.0b3y
7.4b5z
Compiler

Compiled 81 to 52 computations (35.8% saved)

bsearch103.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
27.0ms
0.0003897377727374538
3522.2454679214266
27.0ms
4.0857996764403705e-57
8.363496072082995e-56
24.0ms
4.108049066329091e-172
4.984293261610707e-171
25.0ms
-5.695985711297918e-13
-2.44496315567424e-26
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes83.0ms (0.7%)

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

3 calls:

28.0ms
x
27.0ms
z
25.0ms
y
Results
ErrorSegmentsBranch
14.4b5x
14.1b3y
7.5b5z
Compiler

Compiled 63 to 40 computations (36.5% saved)

bsearch99.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
24.0ms
0.0003897377727374538
3522.2454679214266
26.0ms
4.0857996764403705e-57
8.363496072082995e-56
23.0ms
4.108049066329091e-172
4.984293261610707e-171
26.0ms
-5.695985711297918e-13
-2.44496315567424e-26
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes80.0ms (0.6%)

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

3 calls:

51.0ms
x
16.0ms
y
12.0ms
z
Results
ErrorSegmentsBranch
19.0b3x
21.0b3y
18.8b3z
Compiler

Compiled 29 to 20 computations (31% saved)

bsearch100.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
55.0ms
0.0003897377727374538
3522.2454679214266
45.0ms
-5.695985711297918e-13
-2.44496315567424e-26
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes35.0ms (0.3%)

Accuracy

Total -41.8b remaining (-205.3%)

Threshold costs -41.8b (-205.3%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 5000000000000000/5641895835477563 y)
Outputs
x
(*.f64 5000000000000000/5641895835477563 y)
x
Calls

3 calls:

19.0ms
x
7.0ms
z
7.0ms
y
Results
ErrorSegmentsBranch
20.3b3x
25.2b1y
25.2b1z
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch215.0ms (1.7%)

Algorithm
binary-search
Steps
TimeLeftRight
38.0ms
3.795116006769209e-204
1.9827816404917345e-173
177.0ms
-5.414545286083228e-157
-7.55069806265549e-159
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify55.0ms (0.4%)

Algorithm
egg-herbie
Rules
25×+-commutative_binary64
11×*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102481
1136481
2158481
3169481
4175481
5176481
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 2252250173647985/2251799813685248) (+.f64 x (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (/.f64 5641895835477563/5000000000000000 y)))) (+.f64 x (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563)))))
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 2252250173647985/2251799813685248) (+.f64 x (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (/.f64 5641895835477563/5000000000000000 y)))) (+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y))))
(if (<=.f64 z -124265923633919952) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 3594696474772693/9223372036854775808) (+.f64 x (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (/.f64 5641895835477563/5000000000000000 y)))) x))
(if (<=.f64 z -4205833209831153/8388608) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 3594696474772693/9223372036854775808) (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) x))
(if (<=.f64 z -124265923633919952) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 3594696474772693/9223372036854775808) (+.f64 x (/.f64 -1 (-.f64 x (/.f64 1 (/.f64 y 5641895835477563/5000000000000000))))) x))
(if (<=.f64 z -124265923633919952) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 3594696474772693/9223372036854775808) (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) x))
(if (<=.f64 z -4205833209831153/8388608) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 3594696474772693/9223372036854775808) (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) x))
(if (<=.f64 z -5641031020170487/9903520314283042199192993792) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 7149784057390129/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z 7218983165591141/1766847064778384329583297500742918515827483896875618958121606201292619776) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 3594696474772693/9223372036854775808) (+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (+.f64 z 1)) y)) x))))
(if (<=.f64 z -5641031020170487/9903520314283042199192993792) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 7149784057390129/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z 7218983165591141/1766847064778384329583297500742918515827483896875618958121606201292619776) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 3594696474772693/9223372036854775808) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x))))
(if (<=.f64 z -5641031020170487/9903520314283042199192993792) x (if (<=.f64 z 3594696474772693/9223372036854775808) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x))
(if (<=.f64 x -2092471342814485/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424) x (if (<=.f64 x 2679365144508309/706003489677054374237277210551156965837838477962894381170850482715673457590299624976468480248807499242724466374570999144530824216469597736906638272121736526607699022870679030143158018123175881930939339869708632591433728) (*.f64 5000000000000000/5641895835477563 y) x))
x
Outputs
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 2252250173647985/2251799813685248) (+.f64 x (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (/.f64 5641895835477563/5000000000000000 y)))) (+.f64 x (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563)))))
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 2252250173647985/2251799813685248) (+.f64 x (/.f64 -1 (-.f64 (+.f64 x (*.f64 -5641895835477563/5000000000000000 (/.f64 z y))) (/.f64 5641895835477563/5000000000000000 y)))) (+.f64 x (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563)))))
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x
Compiler

Compiled 374 to 254 computations (32.1% saved)

soundness1.1s (8.9%)

Algorithm
egg-herbie
Rules
1229×fma-def_binary64
1229×fma-def_binary64
1055×div-sub_binary64
1055×div-sub_binary64
902×fma-neg_binary64
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
01118
12018
23518
35218
48118
512718
620518
729218
839618
954016
1073716
11120516
12229116
13455516
14584416
15668816
16685616
17688416
18725416
01118
12018
23518
35218
48118
512718
620518
729218
839618
954016
1073716
11120516
12229116
13455516
14584416
15668816
16685616
17688416
18725416
01081668
13271633
211651589
371531583
Stop Event
node limit
node limit
node limit
Compiler

Compiled 1710 to 1268 computations (25.8% saved)

end158.0ms (1.3%)

Compiler

Compiled 335 to 209 computations (37.6% saved)

Profiling

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