Numeric.SpecFunctions:invErfc from math-functions-0.1.5.2, A

Time bar (total: 7.7s)

analyze86.0ms (1.1%)

Algorithm
1×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
25%25%74.9%0.1%0%0%0%4
31.3%31.2%68.6%0.1%0%0%0%5
43.8%43.7%56.2%0.1%0%0%0%6
53.1%53%46.8%0.1%0%0%0%7
59.4%59.3%40.6%0.1%0%0%0%8
68%67.9%32%0.1%0%0%0%9
73.6%73.5%26.3%0.1%0%0%0%10
78.2%78.1%21.7%0.1%0%0%0%11
83.3%83.1%16.7%0.1%0%0%0%12
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.0s (13.5%)

Results
1.0s8256×body256valid
Bogosity

preprocess93.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1746×fma-def
1090×div-sub
896×sub-neg
796×times-frac
790×distribute-lft-neg-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
045257
1110237
2185237
3397237
41051237
53148229
66051229
77821229
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(+.f64 (neg.f64 x) (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 (neg.f64 x) y))))
(+.f64 x (/.f64 (neg.f64 y) (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x (neg.f64 y)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 (neg.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 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
(+.f64 (neg.f64 x) (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 (neg.f64 x) y))))
(+.f64 (neg.f64 x) (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(-.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 x y))) x)
(-.f64 (/.f64 y (fma.f64 x y (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))) x)
(+.f64 x (/.f64 (neg.f64 y) (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x (neg.f64 y)))))
(+.f64 x (/.f64 (neg.f64 y) (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))))
(+.f64 x (/.f64 -1 (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 (neg.f64 z))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 (/.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(+.f64 x (/.f64 y (fma.f64 x (neg.f64 y) (/.f64 5641895835477563/5000000000000000 (exp.f64 z)))))
(+.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 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) 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 x (/.f64 z (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 y)) (*.f64 x z))))
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify115.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
3442×fma-def
2120×div-sub
772×associate-*r*
756×associate-/l*
692×fma-neg
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
01335
12335
23835
35535
48435
512635
620435
729035
839335
953531
1073831
11121431
12236031
13468831
14595731
15684531
16702131
17705131
18741331
Stop Event
1×node limit
Counts
1 → 3
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 x y (*.f64 (exp.f64 z) -5641895835477563/5000000000000000))))
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))

eval1.0ms (0%)

Compiler

Compiled 37 to 21 computations (43.2% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New123
Fresh011
Picked000
Done000
Total134
Accurracy
100.0%
Counts
4 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶95.8%
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
▶99.9%
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
▶95.8%
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
▶99.9%
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
Compiler

Compiled 58 to 40 computations (31% saved)

localize422.0ms (5.5%)

Local Accuracy

Found 5 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
✓98.7%
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))
✓87.8%
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))
✓99.9%
(/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))
✓99.6%
(/.f64 -5641895835477563/5000000000000000 y)
Compiler

Compiled 84 to 39 computations (53.6% saved)

series15.0ms (0.2%)

Counts
5 → 112
Calls

33 calls:

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

rewrite127.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
1828×log-prod
956×fma-def
684×expm1-udef
678×log1p-udef
400×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01895
139095
2493995
Stop Event
1×node limit
Counts
5 → 264
Calls
Call 1
Inputs
(/.f64 -5641895835477563/5000000000000000 y)
(/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))
(/.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
(+.f64 0 (/.f64 -5641895835477563/5000000000000000 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -5641895835477563/5000000000000000 y))) (cbrt.f64 (exp.f64 (/.f64 -5641895835477563/5000000000000000 y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -5641895835477563/5000000000000000 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -5641895835477563/5000000000000000 y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -5641895835477563/5000000000000000 y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -5641895835477563/5000000000000000 y))) 1)
(*.f64 -5641895835477563/5000000000000000 (/.f64 1 y))
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) 1)
(*.f64 5641895835477563/5000000000000000 (/.f64 1 (neg.f64 y)))
(*.f64 1 (/.f64 -5641895835477563/5000000000000000 y))
(*.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2) (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)))
(*.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)))
(*.f64 (/.f64 1 y) -5641895835477563/5000000000000000)
(pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 1)
(pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 3)
(pow.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2)
(pow.f64 (*.f64 y -5000000000000000/5641895835477563) -1)
(sqrt.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)))
(log.f64 (exp.f64 (/.f64 -5641895835477563/5000000000000000 y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -5641895835477563/5000000000000000 y))))
(cbrt.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 3))
(expm1.f64 (log1p.f64 (/.f64 -5641895835477563/5000000000000000 y)))
(exp.f64 (log.f64 (/.f64 -5641895835477563/5000000000000000 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 -5641895835477563/5000000000000000 y)) 1))
(log1p.f64 (expm1.f64 (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 0 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))) (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))) 1)
(*.f64 -1 (/.f64 1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))
(*.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) 1)
(*.f64 1 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))
(*.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) 2))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) 2) (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))))
(*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) (sqrt.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))))
(*.f64 (/.f64 1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) -1)
(pow.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) 1)
(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) 2)
(pow.f64 (neg.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) -1)
(pow.f64 (*.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x) -1) -1)
(neg.f64 (/.f64 1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))
(sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x) 2)))
(log.f64 (exp.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))))
(exp.f64 (log.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))))
(+.f64 0 (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))) (cbrt.f64 (exp.f64 (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))) 1)
(*.f64 y (/.f64 1 (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))
(*.f64 (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) 1)
(*.f64 1 (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))
(*.f64 (cbrt.f64 (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) 2) (cbrt.f64 (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))))
(*.f64 (sqrt.f64 (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) (sqrt.f64 (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))))
(*.f64 (/.f64 1 (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) y)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 2))) (/.f64 y (cbrt.f64 (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) (/.f64 y (sqrt.f64 (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 2))) (cbrt.f64 (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))))
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(cbrt.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 z) 3)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))
(exp.f64 (+.f64 z (log.f64 5641895835477563/5000000000000000)))
(exp.f64 (*.f64 (+.f64 z (log.f64 5641895835477563/5000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))

simplify218.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1096×fma-neg
640×log-prod
594×fma-def
492×associate-*r*
460×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063614870
1151414328
2527613804
Stop Event
1×node limit
Counts
376 → 403
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)))))
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(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
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(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
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(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(/.f64 -1 x)
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(/.f64 -1 x)
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(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
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(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 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)))))
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(/.f64 -1 x)
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(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
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(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
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(/.f64 -1 x)
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(fma.f64 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) (*.f64 (*.f64 y (neg.f64 x)) 1))
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) (fma.f64 y (neg.f64 x) (fma.f64 y (neg.f64 x) (*.f64 y x))))
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) (neg.f64 (-.f64 (*.f64 y x) (fma.f64 y (neg.f64 x) (*.f64 y x)))))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (sqrt.f64 (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (fma.f64 y (neg.f64 x) (*.f64 y x)))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (sqrt.f64 (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 y x)))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (sqrt.f64 (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 y x)))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (sqrt.f64 (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (*.f64 (fma.f64 y (neg.f64 x) (*.f64 y x)) 1))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (sqrt.f64 (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (+.f64 (fma.f64 y (neg.f64 x) (*.f64 y x)) (fma.f64 y (neg.f64 x) (*.f64 y x))))
(fma.f64 (sqrt.f64 (*.f64 y x)) (neg.f64 (sqrt.f64 (*.f64 y x))) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(fma.f64 (sqrt.f64 (exp.f64 z)) (*.f64 (sqrt.f64 (exp.f64 z)) 5641895835477563/5000000000000000) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 (exp.f64 z)) (*.f64 (sqrt.f64 (exp.f64 z)) 5641895835477563/5000000000000000) (*.f64 (*.f64 y (neg.f64 x)) 1))
(fma.f64 (sqrt.f64 (exp.f64 z)) (*.f64 (sqrt.f64 (exp.f64 z)) 5641895835477563/5000000000000000) (fma.f64 y (neg.f64 x) (fma.f64 y (neg.f64 x) (*.f64 y x))))
(fma.f64 (sqrt.f64 (exp.f64 z)) (*.f64 (sqrt.f64 (exp.f64 z)) 5641895835477563/5000000000000000) (neg.f64 (-.f64 (*.f64 y x) (fma.f64 y (neg.f64 x) (*.f64 y x)))))
(fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(fma.f64 (-.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 z) 3)) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 (*.f64 y x) (fma.f64 y x (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)))) (fma.f64 y (neg.f64 x) (*.f64 y x)))
(fma.f64 (-.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 z) 3)) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 (*.f64 y x) (fma.f64 y x (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)))) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 y x)))
(fma.f64 (-.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 z) 3)) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 (*.f64 y x) (fma.f64 y x (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 y x)))
(fma.f64 (-.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 z) 3)) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 (*.f64 y x) (fma.f64 y x (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)))) (*.f64 (fma.f64 y (neg.f64 x) (*.f64 y x)) 1))
(fma.f64 (-.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 z) 3)) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 (*.f64 y x) (fma.f64 y x (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)))) (+.f64 (fma.f64 y (neg.f64 x) (*.f64 y x)) (fma.f64 y (neg.f64 x) (*.f64 y x))))
(fma.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (fma.f64 y x (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (fma.f64 y (neg.f64 x) (*.f64 y x)))
(fma.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (fma.f64 y x (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 y x)))
(fma.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (fma.f64 y x (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 y x)))
(fma.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (fma.f64 y x (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (*.f64 (fma.f64 y (neg.f64 x) (*.f64 y x)) 1))
(fma.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (fma.f64 y x (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (+.f64 (fma.f64 y (neg.f64 x) (*.f64 y x)) (fma.f64 y (neg.f64 x) (*.f64 y x))))
(fma.f64 (neg.f64 x) y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 y (neg.f64 x) (*.f64 y x))) (cbrt.f64 (fma.f64 y (neg.f64 x) (*.f64 y x)))) (cbrt.f64 (fma.f64 y (neg.f64 x) (*.f64 y x))) (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (neg.f64 x))) (cbrt.f64 (*.f64 y (neg.f64 x)))) (cbrt.f64 (*.f64 y (neg.f64 x))) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 x) (*.f64 y x))) (sqrt.f64 (fma.f64 y (neg.f64 x) (*.f64 y x))) (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))
(fma.f64 (sqrt.f64 (*.f64 y (neg.f64 x))) (sqrt.f64 (*.f64 y (neg.f64 x))) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) (sqrt.f64 (*.f64 y x))) (fma.f64 y (neg.f64 x) (*.f64 y x)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) (sqrt.f64 (*.f64 y x))) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 y x)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) (sqrt.f64 (*.f64 y x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 y x)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) (sqrt.f64 (*.f64 y x))) (*.f64 (fma.f64 y (neg.f64 x) (*.f64 y x)) 1))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) (sqrt.f64 (*.f64 y x))) (+.f64 (fma.f64 y (neg.f64 x) (*.f64 y x)) (fma.f64 y (neg.f64 x) (*.f64 y x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (cbrt.f64 (*.f64 y x)) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(fma.f64 (*.f64 5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (exp.f64 z)) (*.f64 y (neg.f64 x)))
(fma.f64 (*.f64 5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (exp.f64 z)) (*.f64 (*.f64 y (neg.f64 x)) 1))
(fma.f64 (*.f64 5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (exp.f64 z)) (fma.f64 y (neg.f64 x) (fma.f64 y (neg.f64 x) (*.f64 y x))))
(fma.f64 (*.f64 5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (exp.f64 z)) (neg.f64 (-.f64 (*.f64 y x) (fma.f64 y (neg.f64 x) (*.f64 y x)))))
(fma.f64 (*.f64 5641895835477563/5000000000000000 (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)) (*.f64 y (neg.f64 x)))
(fma.f64 (*.f64 5641895835477563/5000000000000000 (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)) (*.f64 (*.f64 y (neg.f64 x)) 1))
(fma.f64 (*.f64 5641895835477563/5000000000000000 (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)) (fma.f64 y (neg.f64 x) (fma.f64 y (neg.f64 x) (*.f64 y x))))
(fma.f64 (*.f64 5641895835477563/5000000000000000 (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)) (neg.f64 (-.f64 (*.f64 y x) (fma.f64 y (neg.f64 x) (*.f64 y x)))))
(fma.f64 (*.f64 (neg.f64 x) 1) y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(+.f64 0 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z))) (cbrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z)))))
(+.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)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) 1)
(pow.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 3)
(pow.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 z) 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 2)
(sqrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)))
(log.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))
(cbrt.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 z) 3)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))
(exp.f64 (+.f64 z (log.f64 5641895835477563/5000000000000000)))
(exp.f64 (*.f64 (+.f64 z (log.f64 5641895835477563/5000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))
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 (*.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)))))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(cbrt.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 z) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(exp.f64 (+.f64 z (log.f64 5641895835477563/5000000000000000)))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(exp.f64 (*.f64 (+.f64 z (log.f64 5641895835477563/5000000000000000)) 1))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))

eval196.0ms (2.6%)

Compiler

Compiled 9837 to 4944 computations (49.7% saved)

prune73.0ms (1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3976403
Fresh000
Picked202
Done000
Total3996405
Accurracy
100.0%
Counts
405 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.2%
(+.f64 x (/.f64 (*.f64 y 5000000000000000/5641895835477563) (exp.f64 z)))
▶78.7%
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
▶79.4%
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
▶64.2%
(+.f64 x (/.f64 y (*.f64 (neg.f64 y) x)))
▶79.4%
(+.f64 x (/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
▶66.7%
(+.f64 x (/.f64 -1 x))
63.2%
(+.f64 x (/.f64 (*.f64 y 5000000000000000/5641895835477563) (exp.f64 z)))
▶78.7%
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
▶79.4%
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
▶64.2%
(+.f64 x (/.f64 y (*.f64 (neg.f64 y) x)))
▶79.4%
(+.f64 x (/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
▶66.7%
(+.f64 x (/.f64 -1 x))
Compiler

Compiled 280 to 196 computations (30% saved)

localize125.0ms (1.6%)

Local Accuracy

Found 12 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
✓100.0%
(-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))
✓99.6%
(*.f64 5641895835477563/5000000000000000 z)
✓88.4%
(/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))
✓100.0%
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
✓100.0%
(-.f64 5641895835477563/5000000000000000 (*.f64 y x))
✓88.4%
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
✓77.6%
(/.f64 y (*.f64 (neg.f64 y) x))
✓100.0%
(+.f64 x (/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
✓100.0%
(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
✓99.8%
(/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))
✓99.6%
(/.f64 5641895835477563/5000000000000000 y)
Compiler

Compiled 139 to 68 computations (51.1% saved)

series18.0ms (0.2%)

Counts
12 → 234
Calls

69 calls:

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

rewrite109.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
576×add-sqr-sqrt
564×pow1
564×*-un-lft-identity
534×add-exp-log
534×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023214
1548198
Stop Event
1×node limit
Counts
12 → 381
Calls
Call 1
Inputs
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))
(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(/.f64 y (*.f64 (neg.f64 y) x))
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
(-.f64 5641895835477563/5000000000000000 (*.f64 y x))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))
(*.f64 5641895835477563/5000000000000000 z)
(-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
Outputs
(-.f64 0 (/.f64 5641895835477563/5000000000000000 y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 5641895835477563/5000000000000000 y))) 1)
(*.f64 5641895835477563/5000000000000000 (/.f64 -1 y))
(*.f64 5641895835477563/5000000000000000 (neg.f64 (/.f64 -1 y)))
(*.f64 -1 (/.f64 5641895835477563/5000000000000000 y))
(*.f64 1 (/.f64 5641895835477563/5000000000000000 y))
(*.f64 (cbrt.f64 (/.f64 5641895835477563/5000000000000000 y)) (cbrt.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))))
(*.f64 (cbrt.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))) (cbrt.f64 (/.f64 5641895835477563/5000000000000000 y)))
(*.f64 (cbrt.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))) (neg.f64 (cbrt.f64 (/.f64 5641895835477563/5000000000000000 y))))
(*.f64 (sqrt.f64 (/.f64 5641895835477563/5000000000000000 y)) (sqrt.f64 (/.f64 5641895835477563/5000000000000000 y)))
(*.f64 (sqrt.f64 (/.f64 5641895835477563/5000000000000000 y)) (neg.f64 (sqrt.f64 (/.f64 5641895835477563/5000000000000000 y))))
(*.f64 -5641895835477563/5000000000000000 (/.f64 -1 y))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 5641895835477563/5000000000000000 y))) (sqrt.f64 (/.f64 5641895835477563/5000000000000000 y)))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)))) (cbrt.f64 (/.f64 5641895835477563/5000000000000000 y)))
(pow.f64 (/.f64 5641895835477563/5000000000000000 y) 1)
(pow.f64 (cbrt.f64 (/.f64 5641895835477563/5000000000000000 y)) 3)
(pow.f64 (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 5641895835477563/5000000000000000 y)) 2)
(pow.f64 (*.f64 y 5000000000000000/5641895835477563) -1)
(neg.f64 (/.f64 5641895835477563/5000000000000000 y))
(sqrt.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)))
(log.f64 (exp.f64 (/.f64 5641895835477563/5000000000000000 y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 5641895835477563/5000000000000000 y))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 5641895835477563/5000000000000000 y))))
(cbrt.f64 (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 5641895835477563/5000000000000000 y)))
(exp.f64 (log.f64 (/.f64 5641895835477563/5000000000000000 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 5641895835477563/5000000000000000 y)) 1))
(log1p.f64 (expm1.f64 (/.f64 5641895835477563/5000000000000000 y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))))) 1)
(*.f64 -1 (/.f64 1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(*.f64 1 (/.f64 -1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(*.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)))) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)))) 2))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)))) 2) (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)))))
(*.f64 (sqrt.f64 (/.f64 -1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)))) (sqrt.f64 (/.f64 -1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)))))
(pow.f64 (/.f64 -1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))) 1)
(pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)))) 3)
(pow.f64 (/.f64 -1 (pow.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)) 3)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)))) 2)
(pow.f64 (+.f64 (neg.f64 x) (/.f64 5641895835477563/5000000000000000 y)) -1)
(pow.f64 (*.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)) -1) -1)
(neg.f64 (/.f64 1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2)))
(log.f64 (exp.f64 (/.f64 -1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))))))
(cbrt.f64 (/.f64 -1 (pow.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)) 3)))
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)))))
(exp.f64 (log.f64 (/.f64 -1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)))))
(+.f64 x (/.f64 5641895835477563/5000000000000000 y))
(+.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 5641895835477563/5000000000000000 y))) (cbrt.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))) (/.f64 5641895835477563/5000000000000000 y)))
(+.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 5641895835477563/5000000000000000 y))) (sqrt.f64 (/.f64 5641895835477563/5000000000000000 y)) (/.f64 5641895835477563/5000000000000000 y)))
(+.f64 (fma.f64 1 x (neg.f64 (*.f64 (/.f64 -1 y) 5641895835477563/5000000000000000))) (fma.f64 (neg.f64 (/.f64 -1 y)) 5641895835477563/5000000000000000 (*.f64 (/.f64 -1 y) 5641895835477563/5000000000000000)))
(+.f64 (fma.f64 1 x (neg.f64 (*.f64 (/.f64 5641895835477563/5000000000000000 y) 1))) (fma.f64 (/.f64 5641895835477563/5000000000000000 y) 1 (*.f64 (/.f64 5641895835477563/5000000000000000 y) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (/.f64 -1 y) 5641895835477563/5000000000000000))) (fma.f64 (neg.f64 (/.f64 -1 y)) 5641895835477563/5000000000000000 (*.f64 (/.f64 -1 y) 5641895835477563/5000000000000000)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (/.f64 5641895835477563/5000000000000000 y) 1))) (fma.f64 (/.f64 5641895835477563/5000000000000000 y) 1 (*.f64 (/.f64 5641895835477563/5000000000000000 y) 1)))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (/.f64 -1 y) 5641895835477563/5000000000000000))) (fma.f64 (neg.f64 (/.f64 -1 y)) 5641895835477563/5000000000000000 (*.f64 (/.f64 -1 y) 5641895835477563/5000000000000000)))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (/.f64 5641895835477563/5000000000000000 y) 1))) (fma.f64 (/.f64 5641895835477563/5000000000000000 y) 1 (*.f64 (/.f64 5641895835477563/5000000000000000 y) 1)))
(+.f64 (*.f64 x 1) (*.f64 (/.f64 5641895835477563/5000000000000000 y) 1))
(*.f64 1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2)) (cbrt.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(*.f64 (pow.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2) (/.f64 1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(*.f64 (sqrt.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))) (sqrt.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(*.f64 (-.f64 (pow.f64 x 3) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x)))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 5641895835477563/5000000000000000 y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 5641895835477563/5000000000000000 y))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))) (-.f64 (pow.f64 x 3) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)))))
(/.f64 1 (/.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)) (pow.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2)))
(/.f64 (pow.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2) (+.f64 x (/.f64 5641895835477563/5000000000000000 y)))
(/.f64 (-.f64 (pow.f64 x 3) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (fma.f64 x x (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2)) (+.f64 (neg.f64 x) (/.f64 5641895835477563/5000000000000000 y)))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (+.f64 (*.f64 x x) (-.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (*.f64 x (/.f64 5641895835477563/5000000000000000 y)))))
(pow.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))) 3)
(pow.f64 (pow.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2))
(log.f64 (exp.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)))))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(exp.f64 (log.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(fma.f64 1 x (/.f64 5641895835477563/5000000000000000 y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 5641895835477563/5000000000000000 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 5641895835477563/5000000000000000 y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)))))) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))))) (/.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2)) (+.f64 x (/.f64 1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))))))
(*.f64 1 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)))))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))))) 2) (cbrt.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))))))
(*.f64 (sqrt.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))))) (sqrt.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))))))
(*.f64 (+.f64 (pow.f64 x 3) (/.f64 -1 (pow.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)) 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 -1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))) (-.f64 (/.f64 -1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))) x)))))
(*.f64 (-.f64 (*.f64 x x) (/.f64 1 (pow.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2))) (/.f64 1 (+.f64 x (/.f64 1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 -1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))) (-.f64 (/.f64 -1 (+.f64 x (/.f64 5641895835477563/5000000000000000 y))) x))) (+.f64 (pow.f64 x 3) (/.f64 -1 (pow.f64 (+.f64 x (/.f64 5641895835477563/5000000000000000 y)) 3)))))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) 2) (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))
(*.f64 (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))
(*.f64 (+.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3))) (/.f64 1 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (-.f64 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)))))
(*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))
(*.f64 (+.f64 z 1) 5641895835477563/5000000000000000)
(/.f64 1 (/.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (-.f64 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)))))
(/.f64 1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)) (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)))))
(/.f64 (+.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (-.f64 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))))
(/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))
(/.f64 (neg.f64 (+.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)))) (neg.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (-.f64 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)))))
(/.f64 (neg.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)))) (neg.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))
(/.f64 (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (+.f64 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)) (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))))
(/.f64 (-.f64 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)) 31830988618379068626528276418969/25000000000000000000000000000000) (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))
(pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 1)
(pow.f64 (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) 2)
(sqrt.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 2))
(log.f64 (exp.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))
(exp.f64 (log.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)
(fma.f64 1 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 5641895835477563/5000000000000000 z)) 2) (cbrt.f64 (*.f64 5641895835477563/5000000000000000 z)) 5641895835477563/5000000000000000)
(fma.f64 (sqrt.f64 (*.f64 5641895835477563/5000000000000000 z)) (sqrt.f64 (*.f64 5641895835477563/5000000000000000 z)) 5641895835477563/5000000000000000)

simplify331.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
1274×fma-def
992×associate-*r*
938×times-frac
424×cancel-sign-sub-inv
406×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
096818595
1248617675
Stop Event
1×node limit
Counts
615 → 627
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)))
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(/.f64 -1 x)
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(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
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(+.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)))
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(/.f64 -1 x)
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(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))))))))
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(*.f64 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)
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(/.f64 (+.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (-.f64 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))))
(/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))
(/.f64 (neg.f64 (+.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)))) (neg.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (-.f64 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)))))
(/.f64 (neg.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)))) (neg.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))
(/.f64 (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (+.f64 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)) (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))))
(/.f64 (-.f64 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)) 31830988618379068626528276418969/25000000000000000000000000000000) (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))
(pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 1)
(pow.f64 (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) 2)
(sqrt.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 2))
(log.f64 (exp.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))
(exp.f64 (log.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)
(fma.f64 1 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 5641895835477563/5000000000000000 z)) 2) (cbrt.f64 (*.f64 5641895835477563/5000000000000000 z)) 5641895835477563/5000000000000000)
(fma.f64 (sqrt.f64 (*.f64 5641895835477563/5000000000000000 z)) (sqrt.f64 (*.f64 5641895835477563/5000000000000000 z)) 5641895835477563/5000000000000000)
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))
(+.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)))
(+.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))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(+.f64 (neg.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x 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 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.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 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 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
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(+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x 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 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.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 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 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))
(+.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)))
(+.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))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(+.f64 (neg.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -1 x))
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(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 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.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 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 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(+.f64 (neg.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x 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 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.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 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 -5641895835477563/5000000000000000 y)
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(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
x
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
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(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
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(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
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(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
x
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x
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x
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eval300.0ms (3.9%)

Compiler

Compiled 12205 to 7472 computations (38.8% saved)

prune125.0ms (1.6%)

Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New61611627
Fresh011
Picked235
Done000
Total61815633
Accurracy
100.0%
Counts
633 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶64.6%
(-.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 y x))))
▶53.8%
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
63.2%
(+.f64 x (/.f64 (*.f64 y 5000000000000000/5641895835477563) (exp.f64 z)))
▶80.8%
(+.f64 x (/.f64 y (-.f64 (/.f64 (-.f64 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)) 31830988618379068626528276418969/25000000000000000000000000000000) (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)) (*.f64 y x))))
80.6%
(+.f64 x (/.f64 y (-.f64 (*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 y x))))
71.7%
(+.f64 x (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 z) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))))
68.6%
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 y x))))
▶61.3%
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))
✓64.2%
(+.f64 x (/.f64 y (*.f64 (neg.f64 y) x)))
53.9%
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
▶47.1%
(+.f64 x (/.f64 1 x))
✓79.4%
(+.f64 x (/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
✓66.7%
(+.f64 x (/.f64 -1 x))
54.0%
(+.f64 x (*.f64 y (/.f64 1 (+.f64 -5641895835477563/5000000000000000 (*.f64 y x)))))
39.6%
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
▶64.6%
(-.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 y x))))
▶53.8%
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
63.2%
(+.f64 x (/.f64 (*.f64 y 5000000000000000/5641895835477563) (exp.f64 z)))
▶80.8%
(+.f64 x (/.f64 y (-.f64 (/.f64 (-.f64 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)) 31830988618379068626528276418969/25000000000000000000000000000000) (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)) (*.f64 y x))))
80.6%
(+.f64 x (/.f64 y (-.f64 (*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 y x))))
71.7%
(+.f64 x (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 z) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))))
68.6%
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 y x))))
▶61.3%
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))
✓64.2%
(+.f64 x (/.f64 y (*.f64 (neg.f64 y) x)))
53.9%
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
▶47.1%
(+.f64 x (/.f64 1 x))
✓79.4%
(+.f64 x (/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
✓66.7%
(+.f64 x (/.f64 -1 x))
54.0%
(+.f64 x (*.f64 y (/.f64 1 (+.f64 -5641895835477563/5000000000000000 (*.f64 y x)))))
39.6%
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
Compiler

Compiled 706 to 504 computations (28.6% saved)

localize185.0ms (2.4%)

Local Accuracy

Found 13 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(-.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 y x))))
✓100.0%
(+.f64 5641895835477563/5000000000000000 (*.f64 y x))
✓88.4%
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))
✓100.0%
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))
100.0%
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
✓99.7%
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
99.6%
(*.f64 5641895835477563/5000000000000000 z)
✓100.0%
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
✓99.4%
(*.f64 5000000000000000/5641895835477563 y)
✓99.8%
(*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))
99.6%
(*.f64 5641895835477563/5000000000000000 z)
✓88.4%
(/.f64 y (-.f64 (/.f64 (-.f64 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)) 31830988618379068626528276418969/25000000000000000000000000000000) (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)) (*.f64 y x)))
✓75.1%
(/.f64 (-.f64 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)) 31830988618379068626528276418969/25000000000000000000000000000000) (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))
Compiler

Compiled 181 to 109 computations (39.8% saved)

series18.0ms (0.2%)

Counts
10 → 168
Calls

57 calls:

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

rewrite119.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
646×add-sqr-sqrt
632×pow1
632×*-un-lft-identity
606×add-exp-log
606×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025206
1611186
Stop Event
1×node limit
Counts
10 → 273
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)) 31830988618379068626528276418969/25000000000000000000000000000000) (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))
(/.f64 y (-.f64 (/.f64 (-.f64 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)) 31830988618379068626528276418969/25000000000000000000000000000000) (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)) (*.f64 y x)))
(*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))
(/.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
(+.f64 (/.f64 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000)) (neg.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000))))
(-.f64 (/.f64 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000)) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000)))) 1)
(*.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (/.f64 1 (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000)))
(*.f64 1 (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000))) 2) (cbrt.f64 (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000))) (sqrt.f64 (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000))))
(*.f64 (neg.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000)) (/.f64 1 (neg.f64 (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000)) 2)) (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (cbrt.f64 (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000))) (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (sqrt.f64 (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000)) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000)) 2) (pow.f64 (cbrt.f64 (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000)) 2)) (cbrt.f64 (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000)) 2) (sqrt.f64 (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000))) (/.f64 (cbrt.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000)) (sqrt.f64 (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000)) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000)) 2)) (/.f64 (sqrt.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000)) (cbrt.f64 (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000))))
(pow.f64 (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000))) 2)
(pow.f64 (/.f64 (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000) (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000)) -1)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000)) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000))))
(exp.f64 (log.f64 (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000)) (*.f64 y x))))) 1)
(*.f64 y (/.f64 1 (-.f64 (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000)) (*.f64 y x))))
(*.f64 1 (/.f64 y (-.f64 (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000)) (*.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000)) (*.f64 y x)))) 2) (cbrt.f64 (/.f64 y (-.f64 (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000)) (*.f64 y x)))))
(*.f64 (sqrt.f64 (/.f64 y (-.f64 (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000)) (*.f64 y x)))) (sqrt.f64 (/.f64 y (-.f64 (/.f64 (fma.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z 5641895835477563/5000000000000000 -5641895835477563/5000000000000000)) (*.f64 y x)))))
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(/.f64 1 (/.f64 (fma.f64 x x (+.f64 (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 2) (*.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 3))))
(/.f64 1 (/.f64 (+.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 3)) (fma.f64 x x (+.f64 (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 2) (*.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 2)) (+.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 3))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 2) (*.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 2))) (neg.f64 (+.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))) (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))) (*.f64 x (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))) (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))) (-.f64 x (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))
(pow.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))) 1)
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))) 3)
(pow.f64 (pow.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))) 2))
(log.f64 (exp.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))
(exp.f64 (log.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))
(fma.f64 1 x (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))

simplify233.0ms (3%)

Algorithm
1×egg-herbie
Rules
812×fma-def
718×associate-*r*
654×associate-*l*
642×associate-/l*
638×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
083817413
1223416485
Stop Event
1×node limit
Counts
441 → 495
Calls
Call 1
Inputs
5641895835477563/5000000000000000
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(*.f64 5641895835477563/5000000000000000 z)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(*.f64 5641895835477563/5000000000000000 z)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
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(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 3)) (fma.f64 x x (+.f64 (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 2) (*.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 2)) (+.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 3))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 2) (*.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 2))) (neg.f64 (+.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))) (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))) (*.f64 x (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))) (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))) (-.f64 x (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))
(pow.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))) 1)
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))) 3)
(pow.f64 (pow.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))) 2))
(log.f64 (exp.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))
(exp.f64 (log.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))
(fma.f64 1 x (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))
Outputs
5641895835477563/5000000000000000
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(*.f64 5641895835477563/5000000000000000 z)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(*.f64 5641895835477563/5000000000000000 z)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
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(/.f64 y (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))))
(/.f64 y (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 z (/.f64 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) z)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))))
(+.f64 (/.f64 y (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))))) (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))) 2)))
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(+.f64 (/.f64 y (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 z (/.f64 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) z)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))) (/.f64 x (/.f64 (pow.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 z (/.f64 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) z)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) 2) (*.f64 y y))))
(+.f64 (/.f64 y (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))) 2)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))) 3))))
(+.f64 (/.f64 y (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))) (+.f64 (/.f64 (*.f64 (*.f64 y y) x) (pow.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) 2)) (/.f64 (*.f64 (pow.f64 y 3) (*.f64 x x)) (pow.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) 3))))
(+.f64 (+.f64 (/.f64 y (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 z (/.f64 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) z)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))) (/.f64 x (/.f64 (pow.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 z (/.f64 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) z)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) 2) (*.f64 y y)))) (/.f64 (*.f64 x (*.f64 x (pow.f64 y 3))) (pow.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 z (/.f64 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) z)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) 3)))
(+.f64 (/.f64 y (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))) 4)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))) 3)))))
(+.f64 (/.f64 y (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) x) (pow.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) 2)) (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) 4) (pow.f64 x 3)))) (/.f64 (*.f64 (pow.f64 y 3) (*.f64 x x)) (pow.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) 3))))
(+.f64 (+.f64 (/.f64 y (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 z (/.f64 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) z)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))) (+.f64 (/.f64 x (/.f64 (pow.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 z (/.f64 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) z)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) 2) (*.f64 y y))) (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 z (/.f64 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) z)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) 4) (pow.f64 x 3))))) (/.f64 (*.f64 x (*.f64 x (pow.f64 y 3))) (pow.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 z (/.f64 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) z)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) 3)))
(/.f64 -1 x)
(-.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (pow.f64 x 2)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (*.f64 (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (pow.f64 x 2))))) (/.f64 1 x)))
(-.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) (*.f64 x x))) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (*.f64 (*.f64 y (fma.f64 5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) (*.f64 x x))) (/.f64 1 x)))
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(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 2)) (+.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 2) (*.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 3))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 3)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 2) (*.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 3)) (fma.f64 x x (*.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) (+.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))))
(/.f64 1 (/.f64 (+.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 2))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 2)) (/.f64 1 (+.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 2)) (+.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 3)) (fma.f64 x x (+.f64 (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 2) (*.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 3)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 2) (*.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 3)) (fma.f64 x x (*.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) (+.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 2)) (+.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 2)) (/.f64 1 (+.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 3))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 2) (*.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 3)) (fma.f64 x x (*.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) (+.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 2))) (neg.f64 (+.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))
(*.f64 1 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 2)) (+.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))) (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))) (*.f64 x (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 3)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 2) (*.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 3)) (fma.f64 x x (*.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) (+.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))) (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))) (-.f64 x (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 2)) (/.f64 1 (+.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)) 2)) (+.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))
(pow.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))) 1)
(-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))) 3)
(-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))
(pow.f64 (pow.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))) 3) 1/3)
(-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))) 2)
(-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))) 2))
(fabs.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))
(log.f64 (exp.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))
(-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))))
(-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))) 3))
(-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))
(-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))
(exp.f64 (log.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))
(-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))) 1))
(-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))))
(-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))
(fma.f64 1 x (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))
(-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))
(-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000))))
(-.f64 x (/.f64 y (fma.f64 y x 5641895835477563/5000000000000000)))

eval310.0ms (4%)

Compiler

Compiled 13242 to 8672 computations (34.5% saved)

prune102.0ms (1.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New5895594
Fresh617
Picked505
Done123
Total6018609
Accurracy
100.0%
Counts
609 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶17.5%
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
▶64.2%
(-.f64 x (/.f64 y (*.f64 y x)))
▶53.9%
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
✓79.4%
(+.f64 x (/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
✓66.7%
(+.f64 x (/.f64 -1 x))
▶17.2%
(*.f64 y 5000000000000000/5641895835477563)
▶3.1%
(*.f64 y -5000000000000000/5641895835477563)
65.4%
x
▶17.5%
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
▶64.2%
(-.f64 x (/.f64 y (*.f64 y x)))
▶53.9%
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
✓79.4%
(+.f64 x (/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
✓66.7%
(+.f64 x (/.f64 -1 x))
▶17.2%
(*.f64 y 5000000000000000/5641895835477563)
▶3.1%
(*.f64 y -5000000000000000/5641895835477563)
65.4%
x
Compiler

Compiled 208 to 156 computations (25% saved)

localize140.0ms (1.8%)

Local Accuracy

Found 8 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
99.7%
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
99.6%
(*.f64 5641895835477563/5000000000000000 z)
✓100.0%
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
✓99.7%
(/.f64 y 5641895835477563/5000000000000000)
✓99.4%
(*.f64 y 5000000000000000/5641895835477563)
✓99.4%
(*.f64 y -5000000000000000/5641895835477563)
✓77.6%
(/.f64 y (*.f64 y x))
Compiler

Compiled 60 to 31 computations (48.3% saved)

series2.0ms (0%)

Counts
5 → 84
Calls

21 calls:

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

rewrite106.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1974×prod-diff
1142×log-prod
590×fma-def
422×expm1-udef
416×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01347
128637
2360237
Stop Event
1×node limit
Counts
5 → 259
Calls
Call 1
Inputs
(/.f64 y (*.f64 y x))
(*.f64 y -5000000000000000/5641895835477563)
(*.f64 y 5000000000000000/5641895835477563)
(/.f64 y 5641895835477563/5000000000000000)
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
Outputs
(+.f64 0 (/.f64 1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 x))) (cbrt.f64 (exp.f64 (/.f64 1 x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1)
(*.f64 y (/.f64 (/.f64 1 x) y))
(*.f64 (/.f64 1 x) 1)
(*.f64 1 (/.f64 1 x))
(*.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (/.f64 1 (cbrt.f64 x)) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (/.f64 1 (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (/.f64 1 x) y)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (/.f64 1 x) y)))
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 y (neg.f64 x))))
(*.f64 (/.f64 (/.f64 1 x) y) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 1 y) (/.f64 y x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 y (cbrt.f64 (*.f64 y x))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 y x))) (/.f64 y (sqrt.f64 (*.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) y) (/.f64 (cbrt.f64 y) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 y x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 y x))))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) y))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 y x))))
(pow.f64 (/.f64 1 x) 1)
(pow.f64 (/.f64 1 (cbrt.f64 x)) 3)
(pow.f64 (pow.f64 (/.f64 1 x) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 x)) 2)
(pow.f64 (/.f64 x 1) -1)
(neg.f64 (/.f64 y (*.f64 y (neg.f64 x))))
(sqrt.f64 (/.f64 (/.f64 1 x) x))
(log.f64 (exp.f64 (/.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 1 x) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 1 x)))
(+.f64 0 (*.f64 y -5000000000000000/5641895835477563))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y)) (cbrt.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y -5000000000000000/5641895835477563))) 1)
(/.f64 y 5641895835477563/5000000000000000)
(/.f64 1 (/.f64 5641895835477563/5000000000000000 y))
(/.f64 1 (/.f64 (/.f64 5641895835477563/5000000000000000 y) 1))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 5641895835477563/5000000000000000 (cbrt.f64 y)))
(/.f64 (sqrt.f64 y) (/.f64 5641895835477563/5000000000000000 (sqrt.f64 y)))
(/.f64 (neg.f64 y) -5641895835477563/5000000000000000)
(/.f64 -1 (neg.f64 (/.f64 5641895835477563/5000000000000000 y)))
(/.f64 (neg.f64 (neg.f64 y)) 5641895835477563/5000000000000000)
(pow.f64 (*.f64 y -5000000000000000/5641895835477563) 1)
(pow.f64 (cbrt.f64 (*.f64 y -5000000000000000/5641895835477563)) 3)
(pow.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563)) 2)
(pow.f64 (/.f64 5641895835477563/5000000000000000 y) -1)
(neg.f64 (/.f64 y -5641895835477563/5000000000000000))
(sqrt.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)))
(log.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y -5000000000000000/5641895835477563))))
(cbrt.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y -5000000000000000/5641895835477563)))
(exp.f64 (log.f64 (*.f64 y -5000000000000000/5641895835477563)))
(exp.f64 (*.f64 (log.f64 (*.f64 y -5000000000000000/5641895835477563)) 1))
(log1p.f64 (expm1.f64 (*.f64 y -5000000000000000/5641895835477563)))
(+.f64 0 (*.f64 y -5000000000000000/5641895835477563))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y)) (cbrt.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y -5000000000000000/5641895835477563))) 1)
(/.f64 y 5641895835477563/5000000000000000)
(/.f64 1 (/.f64 5641895835477563/5000000000000000 y))
(/.f64 1 (/.f64 (/.f64 5641895835477563/5000000000000000 y) 1))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 5641895835477563/5000000000000000 (cbrt.f64 y)))
(/.f64 (sqrt.f64 y) (/.f64 5641895835477563/5000000000000000 (sqrt.f64 y)))
(/.f64 (neg.f64 y) -5641895835477563/5000000000000000)
(/.f64 -1 (neg.f64 (/.f64 5641895835477563/5000000000000000 y)))
(/.f64 (neg.f64 (neg.f64 y)) 5641895835477563/5000000000000000)
(pow.f64 (*.f64 y -5000000000000000/5641895835477563) 1)
(pow.f64 (cbrt.f64 (*.f64 y -5000000000000000/5641895835477563)) 3)
(pow.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563)) 2)
(pow.f64 (/.f64 5641895835477563/5000000000000000 y) -1)
(neg.f64 (/.f64 y -5641895835477563/5000000000000000))
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(fma.f64 (*.f64 -5000000000000000/5641895835477563 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)
(fma.f64 (*.f64 -5000000000000000/5641895835477563 (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (*.f64 5000000000000000/5641895835477563 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)
(fma.f64 (*.f64 5000000000000000/5641895835477563 (sqrt.f64 y)) (sqrt.f64 y) x)

simplify130.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
870×unswap-sqr
868×distribute-lft-in
818×distribute-rgt-in
706×cancel-sign-sub-inv
360×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03945001
18854709
229564597
Stop Event
1×node limit
Counts
343 → 268
Calls
Call 1
Inputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(*.f64 -5000000000000000/5641895835477563 y)
(*.f64 -5000000000000000/5641895835477563 y)
(*.f64 -5000000000000000/5641895835477563 y)
(*.f64 -5000000000000000/5641895835477563 y)
(*.f64 -5000000000000000/5641895835477563 y)
(*.f64 -5000000000000000/5641895835477563 y)
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x
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x
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x
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(fma.f64 (pow.f64 (fma.f64 y -5000000000000000/5641895835477563 x) 2) (/.f64 1 (fma.f64 y -5000000000000000/5641895835477563 x)) (fma.f64 (neg.f64 y) 5000000000000000/5641895835477563 (*.f64 y -5000000000000000/5641895835477563)))
(fma.f64 (pow.f64 (fma.f64 y -5000000000000000/5641895835477563 x) 2) (/.f64 1 (fma.f64 y -5000000000000000/5641895835477563 x)) (fma.f64 (neg.f64 (*.f64 y -5000000000000000/5641895835477563)) 1 (*.f64 y -5000000000000000/5641895835477563)))
(fma.f64 (pow.f64 (fma.f64 y -5000000000000000/5641895835477563 x) 2) (/.f64 1 (fma.f64 y -5000000000000000/5641895835477563 x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (cbrt.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))) (*.f64 y -5000000000000000/5641895835477563)))
(fma.f64 (pow.f64 (fma.f64 y -5000000000000000/5641895835477563 x) 2) (/.f64 1 (fma.f64 y -5000000000000000/5641895835477563 x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563)) (*.f64 y -5000000000000000/5641895835477563)))
(fma.f64 (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563)) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) -5000000000000000/5641895835477563) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 5000000000000000/5641895835477563) x)
(fma.f64 (sqrt.f64 (fma.f64 y -5000000000000000/5641895835477563 x)) (sqrt.f64 (fma.f64 y -5000000000000000/5641895835477563 x)) (fma.f64 -5000000000000000/5641895835477563 y (*.f64 y -5000000000000000/5641895835477563)))
(fma.f64 (sqrt.f64 (fma.f64 y -5000000000000000/5641895835477563 x)) (sqrt.f64 (fma.f64 y -5000000000000000/5641895835477563 x)) (fma.f64 (neg.f64 y) 5000000000000000/5641895835477563 (*.f64 y -5000000000000000/5641895835477563)))
(fma.f64 (sqrt.f64 (fma.f64 y -5000000000000000/5641895835477563 x)) (sqrt.f64 (fma.f64 y -5000000000000000/5641895835477563 x)) (fma.f64 (neg.f64 (*.f64 y -5000000000000000/5641895835477563)) 1 (*.f64 y -5000000000000000/5641895835477563)))
(fma.f64 (sqrt.f64 (fma.f64 y -5000000000000000/5641895835477563 x)) (sqrt.f64 (fma.f64 y -5000000000000000/5641895835477563 x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (cbrt.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))) (*.f64 y -5000000000000000/5641895835477563)))
(fma.f64 (sqrt.f64 (fma.f64 y -5000000000000000/5641895835477563 x)) (sqrt.f64 (fma.f64 y -5000000000000000/5641895835477563 x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563)) (*.f64 y -5000000000000000/5641895835477563)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -5000000000000000/5641895835477563))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 y -5000000000000000/5641895835477563)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) 5000000000000000/5641895835477563))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1 (*.f64 y -5000000000000000/5641895835477563)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (cbrt.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)))) (cbrt.f64 (*.f64 y -5000000000000000/5641895835477563))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))))
(fma.f64 (neg.f64 y) -5000000000000000/5641895835477563 x)
(fma.f64 (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 y -5000000000000000/5641895835477563) (-.f64 (*.f64 y -5000000000000000/5641895835477563) x) (*.f64 x x))) (fma.f64 -5000000000000000/5641895835477563 y (*.f64 y -5000000000000000/5641895835477563)))
(fma.f64 (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 y -5000000000000000/5641895835477563) (-.f64 (*.f64 y -5000000000000000/5641895835477563) x) (*.f64 x x))) (fma.f64 (neg.f64 y) 5000000000000000/5641895835477563 (*.f64 y -5000000000000000/5641895835477563)))
(fma.f64 (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 y -5000000000000000/5641895835477563) (-.f64 (*.f64 y -5000000000000000/5641895835477563) x) (*.f64 x x))) (fma.f64 (neg.f64 (*.f64 y -5000000000000000/5641895835477563)) 1 (*.f64 y -5000000000000000/5641895835477563)))
(fma.f64 (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 y -5000000000000000/5641895835477563) (-.f64 (*.f64 y -5000000000000000/5641895835477563) x) (*.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (cbrt.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))) (*.f64 y -5000000000000000/5641895835477563)))
(fma.f64 (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 y -5000000000000000/5641895835477563) (-.f64 (*.f64 y -5000000000000000/5641895835477563) x) (*.f64 x x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563)) (*.f64 y -5000000000000000/5641895835477563)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (fma.f64 -5000000000000000/5641895835477563 y (*.f64 y -5000000000000000/5641895835477563)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (fma.f64 (neg.f64 y) 5000000000000000/5641895835477563 (*.f64 y -5000000000000000/5641895835477563)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (fma.f64 (neg.f64 (*.f64 y -5000000000000000/5641895835477563)) 1 (*.f64 y -5000000000000000/5641895835477563)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (cbrt.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))) (*.f64 y -5000000000000000/5641895835477563)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563)) (*.f64 y -5000000000000000/5641895835477563)))
(fma.f64 (*.f64 -5000000000000000/5641895835477563 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)
(fma.f64 (*.f64 -5000000000000000/5641895835477563 (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (*.f64 5000000000000000/5641895835477563 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)
(fma.f64 (*.f64 5000000000000000/5641895835477563 (sqrt.f64 y)) (sqrt.f64 y) x)
Outputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(*.f64 -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 y 5000000000000000/5641895835477563)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 y 5000000000000000/5641895835477563 x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 y 5000000000000000/5641895835477563 x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 y 5000000000000000/5641895835477563 x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 y 5000000000000000/5641895835477563 x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 y 5000000000000000/5641895835477563 x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 y 5000000000000000/5641895835477563 x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 y 5000000000000000/5641895835477563 x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 y 5000000000000000/5641895835477563 x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 y 5000000000000000/5641895835477563 x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 y 5000000000000000/5641895835477563 x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 y 5000000000000000/5641895835477563 x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 y 5000000000000000/5641895835477563 x)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 y 5000000000000000/5641895835477563 x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 y 5000000000000000/5641895835477563 x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 y 5000000000000000/5641895835477563 x)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 y 5000000000000000/5641895835477563 x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 y 5000000000000000/5641895835477563 x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 y 5000000000000000/5641895835477563 x)
(+.f64 0 (/.f64 1 x))
(/.f64 1 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 x))) (cbrt.f64 (exp.f64 (/.f64 1 x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 x)))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 x)))) 2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1)
(/.f64 1 x)
(*.f64 y (/.f64 (/.f64 1 x) y))
(/.f64 1 x)
(*.f64 (/.f64 1 x) 1)
(/.f64 1 x)
(*.f64 1 (/.f64 1 x))
(/.f64 1 x)
(*.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (/.f64 1 (cbrt.f64 x)) 2))
(/.f64 1 x)
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (/.f64 1 (cbrt.f64 x)))
(/.f64 1 x)
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (/.f64 1 x) y)))
(/.f64 1 x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(pow.f64 (/.f64 1 (sqrt.f64 x)) 2)
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (/.f64 1 x) y)))
(/.f64 1 x)
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 y (neg.f64 x))))
(/.f64 1 x)
(*.f64 (/.f64 (/.f64 1 x) y) y)
(/.f64 1 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 y x)))
(/.f64 1 x)
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 y x)))
(/.f64 1 x)
(*.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) x))
(/.f64 1 x)
(*.f64 (/.f64 1 y) (/.f64 y x))
(/.f64 1 x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 y (cbrt.f64 (*.f64 y x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (/.f64 y (cbrt.f64 (*.f64 x y))))
(/.f64 (/.f64 y (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 y x))) (/.f64 y (sqrt.f64 (*.f64 y x))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x y))) (/.f64 y (sqrt.f64 (*.f64 x y))))
(/.f64 (/.f64 y (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) y) (/.f64 (cbrt.f64 y) x))
(/.f64 1 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) y))
(/.f64 1 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 y x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 y x))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x y))) (/.f64 y (sqrt.f64 (*.f64 x y))))
(/.f64 (/.f64 y (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) y))
(/.f64 1 x)
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 y x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (/.f64 y (cbrt.f64 (*.f64 x y))))
(/.f64 (/.f64 y (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(pow.f64 (/.f64 1 x) 1)
(/.f64 1 x)
(pow.f64 (/.f64 1 (cbrt.f64 x)) 3)
(/.f64 1 x)
(pow.f64 (pow.f64 (/.f64 1 x) 3) 1/3)
(/.f64 1 x)
(pow.f64 (/.f64 1 (sqrt.f64 x)) 2)
(pow.f64 (/.f64 x 1) -1)
(/.f64 1 x)
(neg.f64 (/.f64 y (*.f64 y (neg.f64 x))))
(/.f64 1 x)
(sqrt.f64 (/.f64 (/.f64 1 x) x))
(sqrt.f64 (/.f64 1 (*.f64 x x)))
(sqrt.f64 (pow.f64 x -2))
(log.f64 (exp.f64 (/.f64 1 x)))
(/.f64 1 x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))))
(/.f64 1 x)
(cbrt.f64 (pow.f64 (/.f64 1 x) 3))
(/.f64 1 x)
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)))
(/.f64 1 x)
(expm1.f64 (log1p.f64 (/.f64 1 x)))
(/.f64 1 x)
(exp.f64 (neg.f64 (log.f64 x)))
(/.f64 1 x)
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1))
(/.f64 1 x)
(log1p.f64 (expm1.f64 (/.f64 1 x)))
(/.f64 1 x)
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(+.f64 (/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 (*.f64 -5000000000000000/5641895835477563 y) (neg.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) (*.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 -5000000000000000/5641895835477563 y))) (cbrt.f64 (*.f64 y (*.f64 y 25000000000000000000000000000000/31830988618379068626528276418969))) (*.f64 -5000000000000000/5641895835477563 y)))
(fma.f64 (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 y -5000000000000000/5641895835477563) (-.f64 (*.f64 y -5000000000000000/5641895835477563) x) (*.f64 x x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563)) (*.f64 y -5000000000000000/5641895835477563)))
(/.f64 (*.f64 (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3) (pow.f64 x 3)) 1) (fma.f64 (*.f64 -5000000000000000/5641895835477563 y) (-.f64 (*.f64 -5000000000000000/5641895835477563 y) x) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 (*.f64 -5000000000000000/5641895835477563 y) (-.f64 (*.f64 -5000000000000000/5641895835477563 y) x) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 (*.f64 -5000000000000000/5641895835477563 y) (neg.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) (*.f64 x x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (fma.f64 -5000000000000000/5641895835477563 y (*.f64 y -5000000000000000/5641895835477563)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -5000000000000000/5641895835477563 y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -5000000000000000/5641895835477563 y))) (fma.f64 -5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 y)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -5000000000000000/5641895835477563 y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -5000000000000000/5641895835477563 y))) (*.f64 y -10000000000000000/5641895835477563))
(+.f64 (fma.f64 y 5000000000000000/5641895835477563 x) (*.f64 y -10000000000000000/5641895835477563))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (fma.f64 (neg.f64 y) 5000000000000000/5641895835477563 (*.f64 y -5000000000000000/5641895835477563)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -5000000000000000/5641895835477563 y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -5000000000000000/5641895835477563 y))) (fma.f64 -5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 y)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -5000000000000000/5641895835477563 y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -5000000000000000/5641895835477563 y))) (*.f64 y -10000000000000000/5641895835477563))
(+.f64 (fma.f64 y 5000000000000000/5641895835477563 x) (*.f64 y -10000000000000000/5641895835477563))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (fma.f64 (neg.f64 (*.f64 y -5000000000000000/5641895835477563)) 1 (*.f64 y -5000000000000000/5641895835477563)))
(fma.f64 y 5000000000000000/5641895835477563 x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (cbrt.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))) (*.f64 y -5000000000000000/5641895835477563)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -5000000000000000/5641895835477563 y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -5000000000000000/5641895835477563 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 -5000000000000000/5641895835477563 y))) (cbrt.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))) (*.f64 -5000000000000000/5641895835477563 y)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -5000000000000000/5641895835477563 y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -5000000000000000/5641895835477563 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 -5000000000000000/5641895835477563 y))) (cbrt.f64 (*.f64 y (*.f64 y 25000000000000000000000000000000/31830988618379068626528276418969))) (*.f64 -5000000000000000/5641895835477563 y)))
(+.f64 (fma.f64 y 5000000000000000/5641895835477563 x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 -5000000000000000/5641895835477563 y))) (cbrt.f64 (*.f64 y (*.f64 y 25000000000000000000000000000000/31830988618379068626528276418969))) (*.f64 -5000000000000000/5641895835477563 y)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563)) (*.f64 y -5000000000000000/5641895835477563)))
(fma.f64 y 5000000000000000/5641895835477563 x)
(fma.f64 (*.f64 -5000000000000000/5641895835477563 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)
(fma.f64 -5000000000000000/5641895835477563 y x)
(fma.f64 (*.f64 -5000000000000000/5641895835477563 (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 -5000000000000000/5641895835477563 y x)
(fma.f64 (*.f64 5000000000000000/5641895835477563 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)
(fma.f64 y 5000000000000000/5641895835477563 x)
(fma.f64 (*.f64 5000000000000000/5641895835477563 (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 y 5000000000000000/5641895835477563 x)

eval146.0ms (1.9%)

Compiler

Compiled 4975 to 3260 computations (34.5% saved)

prune64.0ms (0.8%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New3741375
Fresh011
Picked055
Done022
Total3749383
Accurracy
100.0%
Counts
383 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓17.5%
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
17.2%
(/.f64 y 5641895835477563/5000000000000000)
✓64.2%
(-.f64 x (/.f64 y (*.f64 y x)))
✓53.9%
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
✓79.4%
(+.f64 x (/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
✓66.7%
(+.f64 x (/.f64 -1 x))
✓17.2%
(*.f64 y 5000000000000000/5641895835477563)
✓3.1%
(*.f64 y -5000000000000000/5641895835477563)
65.4%
x
Compiler

Compiled 289 to 179 computations (38.1% saved)

regimes67.0ms (0.9%)

Counts
25 → 1
Calls
Call 1
Inputs
x
(*.f64 y -5000000000000000/5641895835477563)
(*.f64 y 5000000000000000/5641895835477563)
(/.f64 y 5641895835477563/5000000000000000)
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 1 x))
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(-.f64 x (/.f64 y (*.f64 y x)))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(+.f64 x (/.f64 y (*.f64 (neg.f64 y) x)))
(+.f64 x (/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(-.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 x (*.f64 y (/.f64 1 (+.f64 -5641895835477563/5000000000000000 (*.f64 y x)))))
(+.f64 x (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 z) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))))
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
(+.f64 x (/.f64 y (-.f64 (/.f64 (-.f64 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)) 31830988618379068626528276418969/25000000000000000000000000000000) (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)) (*.f64 y x))))
(+.f64 x (/.f64 y (-.f64 (*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 y x))))
(+.f64 x (/.f64 (*.f64 y 5000000000000000/5641895835477563) (exp.f64 z)))
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
Outputs
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
Calls

6 calls:

17.0ms
x
12.0ms
z
12.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
12.0ms
y
3.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
99.9%1(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
99.9%1(exp.f64 z)
Compiler

Compiled 258 to 155 computations (39.9% saved)

regimes113.0ms (1.5%)

Counts
24 → 2
Calls
Call 1
Inputs
x
(*.f64 y -5000000000000000/5641895835477563)
(*.f64 y 5000000000000000/5641895835477563)
(/.f64 y 5641895835477563/5000000000000000)
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 1 x))
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(-.f64 x (/.f64 y (*.f64 y x)))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(+.f64 x (/.f64 y (*.f64 (neg.f64 y) x)))
(+.f64 x (/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(-.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 x (*.f64 y (/.f64 1 (+.f64 -5641895835477563/5000000000000000 (*.f64 y x)))))
(+.f64 x (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 z) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))))
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
(+.f64 x (/.f64 y (-.f64 (/.f64 (-.f64 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)) 31830988618379068626528276418969/25000000000000000000000000000000) (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)) (*.f64 y x))))
(+.f64 x (/.f64 y (-.f64 (*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 y x))))
(+.f64 x (/.f64 (*.f64 y 5000000000000000/5641895835477563) (exp.f64 z)))
(+.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 -1 x))
Calls

6 calls:

53.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
22.0ms
z
11.0ms
y
11.0ms
x
5.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
95.8%1x
95.8%1y
98.4%2z
98.9%2(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
98.4%2(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
98.4%2(exp.f64 z)
Compiler

Compiled 247 to 149 computations (39.7% saved)

regimes43.0ms (0.6%)

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

2 calls:

30.0ms
z
7.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
100.0%3z
100.0%3(exp.f64 z)
Compiler

Compiled 205 to 121 computations (41% saved)

regimes32.0ms (0.4%)

Counts
19 → 3
Calls
Call 1
Inputs
x
(*.f64 y -5000000000000000/5641895835477563)
(*.f64 y 5000000000000000/5641895835477563)
(/.f64 y 5641895835477563/5000000000000000)
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 1 x))
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(-.f64 x (/.f64 y (*.f64 y x)))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(+.f64 x (/.f64 y (*.f64 (neg.f64 y) x)))
(+.f64 x (/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(-.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 x (*.f64 y (/.f64 1 (+.f64 -5641895835477563/5000000000000000 (*.f64 y x)))))
(+.f64 x (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 z) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))))
Outputs
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
x
Calls

1 calls:

28.0ms
z
Results
AccuracySegmentsBranch
99.8%3z
Compiler

Compiled 135 to 77 computations (43% saved)

regimes47.0ms (0.6%)

Counts
15 → 3
Calls
Call 1
Inputs
x
(*.f64 y -5000000000000000/5641895835477563)
(*.f64 y 5000000000000000/5641895835477563)
(/.f64 y 5641895835477563/5000000000000000)
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 1 x))
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(-.f64 x (/.f64 y (*.f64 y x)))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(+.f64 x (/.f64 y (*.f64 (neg.f64 y) x)))
(+.f64 x (/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 y x))))
Outputs
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
x
Calls

1 calls:

44.0ms
z
Results
AccuracySegmentsBranch
99.8%3z
Compiler

Compiled 93 to 56 computations (39.8% saved)

regimes72.0ms (0.9%)

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

3 calls:

28.0ms
y
20.0ms
x
20.0ms
z
Results
AccuracySegmentsBranch
71.4%3x
79.0%3y
87.1%3z
Compiler

Compiled 74 to 46 computations (37.8% saved)

regimes22.0ms (0.3%)

Counts
6 → 4
Calls
Call 1
Inputs
x
(*.f64 y -5000000000000000/5641895835477563)
(*.f64 y 5000000000000000/5641895835477563)
(/.f64 y 5641895835477563/5000000000000000)
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 1 x))
Outputs
(+.f64 x (/.f64 -1 x))
x
(+.f64 x (/.f64 -1 x))
x
Calls

1 calls:

20.0ms
z
Results
AccuracySegmentsBranch
82.4%4z
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes22.0ms (0.3%)

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

3 calls:

13.0ms
x
4.0ms
y
4.0ms
z
Results
AccuracySegmentsBranch
69.1%3x
65.4%1y
65.4%1z
Compiler

Compiled 25 to 18 computations (28% saved)

regimes13.0ms (0.2%)

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

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
69.1%3x
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes44.0ms (0.6%)

Accuracy

Total -40.2b remaining (-181.5%)

Threshold costs -40.2b (-181.5%)

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

2 calls:

40.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
65.4%1z
65.4%1x
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.5177040871354556e+261
9.258864473641897e+263
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000000017883028
508543.6330735401
0.0ms
0.0
0.9999999683583571
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch33.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
1.788302784933185e-9
13.13930629821043
10.0ms
-6318983358464704.0
-3070450902065097.5
Results
30.0ms240×body256valid
Compiler

Compiled 311 to 225 computations (27.7% saved)

bsearch33.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
1.788302784933185e-9
13.13930629821043
10.0ms
-6318983358464704.0
-3070450902065097.5
Results
30.0ms240×body256valid
Compiler

Compiled 311 to 240 computations (22.8% saved)

bsearch48.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
27.0ms
3.6168628582009794e-31
2.43600961812716e-25
21.0ms
-4.783050382065129e-170
-1.1423942506791964e-181
Results
43.0ms304×body256valid
Compiler

Compiled 327 to 254 computations (22.3% saved)

bsearch55.0ms (0.7%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
2.6397493794279388e-217
3.0329906636411036e-207
21.0ms
-1.0902990986284561e-193
-2.9428905105167295e-198
13.0ms
-3.5751058716198563e-41
-3.2978141166997056e-42
Results
50.0ms384×body256valid
Compiler

Compiled 357 to 279 computations (21.8% saved)

bsearch65.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
46.0ms
7.136541049361113e-197
9.32991226075688e-182
19.0ms
-7.136723511596955e-178
-4.1850328560291286e-184
Results
61.0ms304×body256valid
Compiler

Compiled 249 to 205 computations (17.7% saved)

bsearch40.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
7.136541049361113e-197
9.32991226075688e-182
19.0ms
-7.136723511596955e-178
-4.1850328560291286e-184
Results
36.0ms304×body256valid
Compiler

Compiled 249 to 205 computations (17.7% saved)

simplify19.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
34×+-commutative
18×sub-neg
18×*-commutative
12×cancel-sign-sub-inv
10×neg-mul-1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
086468
1124468
2146468
3159464
4166464
5168464
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) 5000000000000000080864196475047917390480863560766234054837788814802707676501789421806676124822026821440952665165919815755816086233746458697662077001272823792217174549282301297790469616246499440354456781353533234380180747355509156821802718767934507722333315137536) (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) (+.f64 x (/.f64 -1 x)))
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 2) (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) x))
(if (<=.f64 z -3100000000000000) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 13) (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) x))
(if (<=.f64 z -3100000000000000) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 13) (+.f64 x (/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) x))
(if (<=.f64 z -2697671111036073/8702164874309912144930213176155645990168053640839691029699692760275411924760203145038438437113516616399082774302662672635438355868101955410485575332111767174247731541367082500615833649152) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 7493050386706289/713623846352979940529142984724747568191373312) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x))
(if (<=.f64 z -6080942306155847/392318858461667547739736838950479151006397215279002157056) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -43149552317389/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896) x (if (<=.f64 z 5320894140439675/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798208) (+.f64 x (/.f64 -1 x)) x)))
(if (<=.f64 x -6697692026289335/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976) x (if (<=.f64 x 8668436849475469/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528) (/.f64 y 5641895835477563/5000000000000000) x))
(if (<=.f64 x -4018615215773601/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952) x (if (<=.f64 x 8308506094874853/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136) (*.f64 y 5000000000000000/5641895835477563) x))
x
Outputs
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) 5000000000000000080864196475047917390480863560766234054837788814802707676501789421806676124822026821440952665165919815755816086233746458697662077001272823792217174549282301297790469616246499440354456781353533234380180747355509156821802718767934507722333315137536) (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) (+.f64 x (/.f64 -1 x)))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 x y)))) 5000000000000000080864196475047917390480863560766234054837788814802707676501789421806676124822026821440952665165919815755816086233746458697662077001272823792217174549282301297790469616246499440354456781353533234380180747355509156821802718767934507722333315137536) (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 x y)))) (+.f64 x (/.f64 -1 x)))
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 2) (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) x))
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 2) (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000)) (*.f64 x y)))) x))
(if (<=.f64 z -3100000000000000) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 13) (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) x))
(if (<=.f64 z -3100000000000000) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 13) (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 x y)))) x))
(if (<=.f64 z -3100000000000000) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 13) (+.f64 x (/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) x))
(if (<=.f64 z -2697671111036073/8702164874309912144930213176155645990168053640839691029699692760275411924760203145038438437113516616399082774302662672635438355868101955410485575332111767174247731541367082500615833649152) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 7493050386706289/713623846352979940529142984724747568191373312) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x))
(if (<=.f64 z -6080942306155847/392318858461667547739736838950479151006397215279002157056) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -43149552317389/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896) x (if (<=.f64 z 5320894140439675/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798208) (+.f64 x (/.f64 -1 x)) x)))
(if (or (<=.f64 z -6080942306155847/392318858461667547739736838950479151006397215279002157056) (and (not (<=.f64 z -43149552317389/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896)) (<=.f64 z 5320894140439675/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798208))) (+.f64 x (/.f64 -1 x)) x)
(if (<=.f64 x -6697692026289335/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976) x (if (<=.f64 x 8668436849475469/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528) (/.f64 y 5641895835477563/5000000000000000) x))
(if (<=.f64 x -4018615215773601/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952) x (if (<=.f64 x 8308506094874853/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136) (*.f64 y 5000000000000000/5641895835477563) x))
x
Compiler

Compiled 213 to 143 computations (32.9% saved)

soundness1.7s (22.2%)

Rules
3442×fma-def
2120×div-sub
1974×prod-diff
1142×log-prod
1096×fma-neg
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
01335
12335
23835
35535
48435
512635
620435
729035
839335
953531
1073831
11121431
12236031
13468831
14595731
15684531
16702131
17705131
18741331
063614870
1151414328
2527613804
083817413
1223416485
023214
1548198
083817413
1223416485
01347
128637
2360237
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 644 to 376 computations (41.6% saved)

end0.0ms (0%)

preprocess254.0ms (3.3%)

Compiler

Compiled 432 to 266 computations (38.4% saved)

Profiling

Loading profile data...