Linear.Projection:perspective from linear-1.19.1.3, A

Time bar (total: 2.6s)

analyze11.0ms (0.4%)

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
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 10 to 6 computations (40% saved)

sample979.0ms (37.7%)

Results
931.0ms8256×body256valid
Bogosity

preprocess162.0ms (6.2%)

Algorithm
1×egg-herbie
Rules
2884×fma-def
980×div-sub
800×times-frac
452×fma-neg
398×associate-/r*
Problems
256×No Errors
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
024241
147233
297233
3240217
4753217
52765217
64412217
75126217
85358217
95468217
105480217
115480217
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (+.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y))
(/.f64 (+.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y)))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y)))
(neg.f64 (/.f64 (+.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y))))
(/.f64 (+.f64 y x) (-.f64 y x))
Outputs
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (+.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 y x) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 x y) (+.f64 x y))
(/.f64 (+.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y)))
(/.f64 (-.f64 y x) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 x y) (+.f64 x y))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y)))
(/.f64 (neg.f64 (-.f64 y x)) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 x y) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 y x) (+.f64 x y))
(neg.f64 (/.f64 (+.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y))))
(/.f64 (neg.f64 (-.f64 y x)) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 x y) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 y x) (+.f64 x y))
(/.f64 (+.f64 y x) (-.f64 y x))
(/.f64 (+.f64 x y) (-.f64 y x))
Compiler

Compiled 27 to 11 computations (59.3% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
▶100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 18 to 10 computations (44.4% saved)

localize25.0ms (1%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 18 to 6 computations (66.7% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite113.0ms (4.4%)

Algorithm
1×batch-egg-rewrite
Rules
1104×prod-diff
735×log1p-expm1-u
735×expm1-log1p-u
668×log-prod
508×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
112731
2191831
Stop Event
1×node limit
Counts
1 → 46
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
Outputs
(+.f64 0 (/.f64 (+.f64 x y) (-.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1)
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (neg.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (+.f64 x y) (pow.f64 x 2)))
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) -1)
(pow.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 1) -1)
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 (-.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (-.f64 x y) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))) -1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))

simplify56.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1984×fma-def
1616×times-frac
700×associate-*r/
616×distribute-lft-in
584×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02043124
15602876
219442526
Stop Event
1×node limit
Counts
70 → 91
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
1
(-.f64 (+.f64 1 (/.f64 y x)) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (*.f64 -1 y))) (pow.f64 x 3))))) (*.f64 -1 (/.f64 y x)))
1
(-.f64 (+.f64 1 (/.f64 y x)) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (*.f64 -1 y))) (pow.f64 x 3))))) (*.f64 -1 (/.f64 y x)))
1
(+.f64 1 (*.f64 2 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
-1
(-.f64 (*.f64 -1 (/.f64 x y)) (+.f64 1 (/.f64 x y)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 x y)) (/.f64 (*.f64 x (-.f64 (*.f64 -1 x) x)) (pow.f64 y 2))) (+.f64 1 (/.f64 x y)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 x y)) (+.f64 (/.f64 (*.f64 x (-.f64 (*.f64 -1 x) x)) (pow.f64 y 2)) (/.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 1 (/.f64 x y)))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1 x)) y)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 x (-.f64 x (*.f64 -1 x))) (pow.f64 y 2))) (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1 x)) y))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 x (-.f64 x (*.f64 -1 x))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 x (*.f64 -1 x))) (pow.f64 y 3))) (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1 x)) y)))) 1)
(+.f64 0 (/.f64 (+.f64 x y) (-.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1)
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (neg.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (+.f64 x y) (pow.f64 x 2)))
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) -1)
(pow.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 1) -1)
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 (-.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (-.f64 x y) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))) -1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
Outputs
-1
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
(fma.f64 -2 (/.f64 x y) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(+.f64 (*.f64 -2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) -1)
(fma.f64 -2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
(+.f64 (fma.f64 -2 (/.f64 x y) (*.f64 -2 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) -1)
(fma.f64 -2 (/.f64 x y) (fma.f64 -2 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(fma.f64 -2 (+.f64 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)) (pow.f64 (/.f64 x y) 3)) -1)
1
(-.f64 (+.f64 1 (/.f64 y x)) (*.f64 -1 (/.f64 y x)))
(+.f64 1 (-.f64 (/.f64 y x) (/.f64 (neg.f64 y) x)))
(+.f64 1 (+.f64 (/.f64 y x) (/.f64 y x)))
(fma.f64 2 (/.f64 y x) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 y x)))
(+.f64 1 (-.f64 (+.f64 (/.f64 y x) (/.f64 y (/.f64 (pow.f64 x 2) (-.f64 y (neg.f64 y))))) (/.f64 (neg.f64 y) x)))
(+.f64 1 (+.f64 (+.f64 (/.f64 y x) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (/.f64 y x)))
(fma.f64 2 (*.f64 (/.f64 y x) (+.f64 1 (/.f64 y x))) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (*.f64 -1 y))) (pow.f64 x 3))))) (*.f64 -1 (/.f64 y x)))
(+.f64 1 (-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 y (/.f64 (pow.f64 x 2) (-.f64 y (neg.f64 y)))) (/.f64 (pow.f64 y 2) (/.f64 (pow.f64 x 3) (-.f64 y (neg.f64 y)))))) (/.f64 (neg.f64 y) x)))
(+.f64 1 (+.f64 (*.f64 2 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (/.f64 y x) (/.f64 y x))))
(fma.f64 2 (+.f64 (*.f64 (/.f64 y x) (+.f64 1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)) 1)
1
(-.f64 (+.f64 1 (/.f64 y x)) (*.f64 -1 (/.f64 y x)))
(+.f64 1 (-.f64 (/.f64 y x) (/.f64 (neg.f64 y) x)))
(+.f64 1 (+.f64 (/.f64 y x) (/.f64 y x)))
(fma.f64 2 (/.f64 y x) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 y x)))
(+.f64 1 (-.f64 (+.f64 (/.f64 y x) (/.f64 y (/.f64 (pow.f64 x 2) (-.f64 y (neg.f64 y))))) (/.f64 (neg.f64 y) x)))
(+.f64 1 (+.f64 (+.f64 (/.f64 y x) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (/.f64 y x)))
(fma.f64 2 (*.f64 (/.f64 y x) (+.f64 1 (/.f64 y x))) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (*.f64 -1 y))) (pow.f64 x 3))))) (*.f64 -1 (/.f64 y x)))
(+.f64 1 (-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 y (/.f64 (pow.f64 x 2) (-.f64 y (neg.f64 y)))) (/.f64 (pow.f64 y 2) (/.f64 (pow.f64 x 3) (-.f64 y (neg.f64 y)))))) (/.f64 (neg.f64 y) x)))
(+.f64 1 (+.f64 (*.f64 2 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (/.f64 y x) (/.f64 y x))))
(fma.f64 2 (+.f64 (*.f64 (/.f64 y x) (+.f64 1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)) 1)
1
(+.f64 1 (*.f64 2 (/.f64 y x)))
(+.f64 1 (-.f64 (/.f64 y x) (/.f64 (neg.f64 y) x)))
(+.f64 1 (+.f64 (/.f64 y x) (/.f64 y x)))
(fma.f64 2 (/.f64 y x) 1)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 y x) (/.f64 y (/.f64 (pow.f64 x 2) (-.f64 y (neg.f64 y))))) (/.f64 (neg.f64 y) x)))
(+.f64 1 (+.f64 (+.f64 (/.f64 y x) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (/.f64 y x)))
(fma.f64 2 (*.f64 (/.f64 y x) (+.f64 1 (/.f64 y x))) 1)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(+.f64 1 (-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 y (/.f64 (pow.f64 x 2) (-.f64 y (neg.f64 y)))) (/.f64 (pow.f64 y 2) (/.f64 (pow.f64 x 3) (-.f64 y (neg.f64 y)))))) (/.f64 (neg.f64 y) x)))
(+.f64 1 (+.f64 (*.f64 2 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (/.f64 y x) (/.f64 y x))))
(fma.f64 2 (+.f64 (*.f64 (/.f64 y x) (+.f64 1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)) 1)
-1
(-.f64 (*.f64 -1 (/.f64 x y)) (+.f64 1 (/.f64 x y)))
(fma.f64 -2 (/.f64 x y) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 x y)) (/.f64 (*.f64 x (-.f64 (*.f64 -1 x) x)) (pow.f64 y 2))) (+.f64 1 (/.f64 x y)))
(+.f64 (*.f64 -2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) -1)
(fma.f64 -2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 x y)) (+.f64 (/.f64 (*.f64 x (-.f64 (*.f64 -1 x) x)) (pow.f64 y 2)) (/.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 1 (/.f64 x y)))
(+.f64 (fma.f64 -2 (/.f64 x y) (*.f64 -2 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) -1)
(fma.f64 -2 (/.f64 x y) (fma.f64 -2 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(fma.f64 -2 (+.f64 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)) (pow.f64 (/.f64 x y) 3)) -1)
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1 x)) y)) 1)
(fma.f64 -2 (/.f64 x y) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 x (-.f64 x (*.f64 -1 x))) (pow.f64 y 2))) (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1 x)) y))) 1)
(+.f64 (*.f64 -2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) -1)
(fma.f64 -2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 x (-.f64 x (*.f64 -1 x))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 x (*.f64 -1 x))) (pow.f64 y 3))) (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1 x)) y)))) 1)
(+.f64 (fma.f64 -2 (/.f64 x y) (*.f64 -2 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) -1)
(fma.f64 -2 (/.f64 x y) (fma.f64 -2 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(fma.f64 -2 (+.f64 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)) (pow.f64 (/.f64 x y) 3)) -1)
(+.f64 0 (/.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1)
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) (log.f64 (exp.f64 1)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (neg.f64 (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))
(/.f64 (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))
(/.f64 (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 x y))
(*.f64 (+.f64 x y) (/.f64 (+.f64 x y) (-.f64 (pow.f64 x 2) (pow.f64 y 2))))
(/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (pow.f64 x 2) (pow.f64 y 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 6) (-.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (+.f64 x y) (pow.f64 x 2)))
(/.f64 (*.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (pow.f64 x 2))) (-.f64 (pow.f64 x 3) (pow.f64 y 3)))
(/.f64 (+.f64 x y) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 y (+.f64 x y) (pow.f64 x 2))))
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)
(/.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)
(/.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) 1/2)
(/.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 1/3)
(/.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)
(/.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) -1)
(/.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 1) -1)
(/.f64 (+.f64 x y) (-.f64 x y))
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2))
(/.f64 (+.f64 x y) (-.f64 x y))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (+.f64 x y) (-.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
(/.f64 (+.f64 x y) (-.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (-.f64 x y) 3)))
(/.f64 (+.f64 x y) (-.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1) 1))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 3))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)) 1/3))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))) -1))
(/.f64 (+.f64 x y) (-.f64 x y))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))

eval22.0ms (0.8%)

Compiler

Compiled 1392 to 605 computations (56.5% saved)

prune18.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New87491
Fresh000
Picked011
Done000
Total87592
Accuracy
100.0%
Counts
92 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
▶50.2%
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
▶98.0%
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
49.9%
1
48.9%
-1
✓100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
▶50.2%
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
▶98.0%
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
49.9%
1
48.9%
-1
Compiler

Compiled 70 to 50 computations (28.6% saved)

localize140.0ms (5.4%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓100.0%
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
✓100.0%
(*.f64 -2 (/.f64 x y))
100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
✓77.5%
(log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
Compiler

Compiled 54 to 17 computations (68.5% saved)

series9.0ms (0.3%)

Counts
3 → 30
Calls

18 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(*.f64 -2 (/.f64 x y))
1.0ms
y
@inf
(log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
1.0ms
y
@-inf
(log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
1.0ms
x
@0
(log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
1.0ms
x
@inf
(log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))

rewrite89.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
1190×log-prod
902×fma-def
830×log1p-expm1-u
830×expm1-log1p-u
398×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01775
123175
2336675
Stop Event
1×node limit
Counts
3 → 100
Calls
Call 1
Inputs
(log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 -2 (/.f64 x y))
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
Outputs
(+.f64 0 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)) (cbrt.f64 (+.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)))) (log.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) 1)
(*.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1)
(*.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2) (cbrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))
(log.f64 (+.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1))
(+.f64 0 (*.f64 -2 (/.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) -2)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) -2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) -2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) -2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) -2))))
(-.f64 (fma.f64 -2 (/.f64 x y) 1) 1)
(/.f64 -2 (/.f64 y x))
(/.f64 1 (/.f64 y (*.f64 x -2)))
(/.f64 (*.f64 x -2) y)
(/.f64 (neg.f64 (*.f64 x -2)) (neg.f64 y))
(/.f64 (*.f64 -2 (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) -2) (neg.f64 y))
(/.f64 (*.f64 (*.f64 x -2) 1) y)
(/.f64 (/.f64 (*.f64 x -2) 1) y)
(/.f64 (/.f64 (*.f64 x -2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x -2) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 -2 (/.f64 x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 x y))) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 x y) 3) -8) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 x y))) 2)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 4))
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (/.f64 x y)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) -8))
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 -2 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 x y))) 1))
(log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 x y))))
(fma.f64 1 (fma.f64 -2 (/.f64 x y) 1) -1)
(fma.f64 (fma.f64 -2 (/.f64 x y) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 -2 (/.f64 x y) 1)) (cbrt.f64 (fma.f64 -2 (/.f64 x y) 1))) (cbrt.f64 (fma.f64 -2 (/.f64 x y) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 -2 (/.f64 x y) 1)) (sqrt.f64 (fma.f64 -2 (/.f64 x y) 1)) -1)
(+.f64 (*.f64 -2 (/.f64 x y)) -1)
(+.f64 (*.f64 -2 (/.f64 x y)) (log.f64 (exp.f64 -1)))
(+.f64 -1 (*.f64 -2 (/.f64 x y)))
(+.f64 0 (fma.f64 -2 (/.f64 x y) -1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 -2 (/.f64 x y) -1))) (cbrt.f64 (exp.f64 (fma.f64 -2 (/.f64 x y) -1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -2 (/.f64 x y) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -2 (/.f64 x y) -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -2 (/.f64 x y) -1)))))
(*.f64 1 (fma.f64 -2 (/.f64 x y) -1))
(*.f64 (fma.f64 -2 (/.f64 x y) -1) 1)
(*.f64 (cbrt.f64 (fma.f64 -2 (/.f64 x y) -1)) (pow.f64 (cbrt.f64 (fma.f64 -2 (/.f64 x y) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (/.f64 x y) -1)) 2) (cbrt.f64 (fma.f64 -2 (/.f64 x y) -1)))
(*.f64 (sqrt.f64 (fma.f64 -2 (/.f64 x y) -1)) (sqrt.f64 (fma.f64 -2 (/.f64 x y) -1)))
(*.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -8 -1) (/.f64 1 (fma.f64 (pow.f64 (/.f64 x y) 2) 4 (fma.f64 -2 (/.f64 x y) 1))))
(*.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 4 -1) (/.f64 1 (fma.f64 -2 (/.f64 x y) 1)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 -2) 1) (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 -2) -1))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 4 (fma.f64 -2 (/.f64 x y) 1)) (fma.f64 (pow.f64 (/.f64 x y) 3) -8 -1)))
(/.f64 1 (/.f64 (fma.f64 -2 (/.f64 x y) 1) (fma.f64 (pow.f64 (/.f64 x y) 2) 4 -1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -8 -1) (fma.f64 (pow.f64 (/.f64 x y) 2) 4 (fma.f64 -2 (/.f64 x y) 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -8 -1) (fma.f64 (pow.f64 (/.f64 x y) 2) 4 (-.f64 1 (*.f64 (*.f64 -2 (/.f64 x y)) -1))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 4 -1) (fma.f64 -2 (/.f64 x y) 1))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -8 -1)) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 4 (fma.f64 -2 (/.f64 x y) 1))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 4 -1)) (neg.f64 (fma.f64 -2 (/.f64 x y) 1)))
(pow.f64 (fma.f64 -2 (/.f64 x y) -1) 1)
(pow.f64 (cbrt.f64 (fma.f64 -2 (/.f64 x y) -1)) 3)
(pow.f64 (pow.f64 (fma.f64 -2 (/.f64 x y) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -2 (/.f64 x y) -1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 -2 (/.f64 x y) -1) 2))
(log.f64 (exp.f64 (fma.f64 -2 (/.f64 x y) -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -2 (/.f64 x y) -1))))
(cbrt.f64 (pow.f64 (fma.f64 -2 (/.f64 x y) -1) 3))
(expm1.f64 (log.f64 (*.f64 -2 (/.f64 x y))))
(expm1.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 x y))) 1))
(exp.f64 (log.f64 (fma.f64 -2 (/.f64 x y) -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -2 (/.f64 x y) -1)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -2 (/.f64 x y) -1)))
(fma.f64 x (*.f64 (/.f64 1 y) -2) -1)
(fma.f64 -2 (/.f64 x y) -1)
(fma.f64 (/.f64 x y) -2 -1)
(fma.f64 (*.f64 -2 (/.f64 x y)) 1 -1)
(fma.f64 1 (*.f64 -2 (/.f64 x y)) -1)
(fma.f64 (cbrt.f64 (*.f64 -2 (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 x y))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 x y))) 2) (cbrt.f64 (*.f64 -2 (/.f64 x y))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 x y))) 2) (*.f64 (cbrt.f64 (*.f64 -2 (/.f64 x y))) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) -2) -1)
(fma.f64 (sqrt.f64 (*.f64 -2 (/.f64 x y))) (sqrt.f64 (*.f64 -2 (/.f64 x y))) -1)
(fma.f64 (sqrt.f64 (*.f64 -2 (/.f64 x y))) (*.f64 (sqrt.f64 (*.f64 -2 (/.f64 x y))) 1) -1)
(fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) -2) -1)
(fma.f64 (*.f64 x -2) (/.f64 1 y) -1)
(fma.f64 (/.f64 -2 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) -1)
(fma.f64 (/.f64 -2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) -1)
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)) -1)
(fma.f64 (*.f64 -2 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) -1)

simplify76.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
916×associate-+l+
876×associate-+r+
654×distribute-lft-in
618×unswap-sqr
612×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03465089
18124664
226554398
Stop Event
1×node limit
Counts
130 → 174
Calls
Call 1
Inputs
(+.f64 (log.f64 x) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 y)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 (neg.f64 (*.f64 2 (/.f64 1 y)))) (/.f64 x y)))
(+.f64 (log.f64 x) (+.f64 (log.f64 (neg.f64 (*.f64 2 (/.f64 1 y)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))))
(+.f64 (log.f64 x) (+.f64 (log.f64 (neg.f64 (*.f64 2 (/.f64 1 y)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (-.f64 y (*.f64 -1 y)) x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 y (*.f64 -1 y)) 2)) (*.f64 y (-.f64 y (*.f64 -1 y)))) (pow.f64 x 2))) (*.f64 1/2 (/.f64 (-.f64 y (*.f64 -1 y)) x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -3/2 (*.f64 y (pow.f64 (-.f64 y (*.f64 -1 y)) 2))) (+.f64 (*.f64 1/4 (pow.f64 (-.f64 y (*.f64 -1 y)) 3)) (*.f64 3 (*.f64 (pow.f64 y 2) (-.f64 y (*.f64 -1 y)))))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 y (*.f64 -1 y)) 2)) (*.f64 y (-.f64 y (*.f64 -1 y)))) (pow.f64 x 2))) (*.f64 1/2 (/.f64 (-.f64 y (*.f64 -1 y)) x)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (-.f64 y (*.f64 -1 y)) x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 y (*.f64 -1 y)) 2)) (*.f64 y (-.f64 y (*.f64 -1 y)))) (pow.f64 x 2))) (*.f64 1/2 (/.f64 (-.f64 y (*.f64 -1 y)) x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -3 (*.f64 (pow.f64 y 2) (-.f64 y (*.f64 -1 y)))) (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 y (*.f64 -1 y)) 3)) (*.f64 3/2 (*.f64 y (pow.f64 (-.f64 y (*.f64 -1 y)) 2))))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 y (*.f64 -1 y)) 2)) (*.f64 y (-.f64 y (*.f64 -1 y)))) (pow.f64 x 2))) (*.f64 1/2 (/.f64 (-.f64 y (*.f64 -1 y)) x)))))
(log.f64 2)
(+.f64 (log.f64 2) (/.f64 y x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 y x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 y x))))
(+.f64 (log.f64 (-.f64 (*.f64 -1 x) x)) (log.f64 (/.f64 1 y)))
(+.f64 (log.f64 (-.f64 (*.f64 -1 x) x)) (+.f64 (log.f64 (/.f64 1 y)) (/.f64 x y)))
(+.f64 (log.f64 (-.f64 (*.f64 -1 x) x)) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 2))) (pow.f64 y 2))) (/.f64 x y))))
(+.f64 (log.f64 (-.f64 (*.f64 -1 x) x)) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -6 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 6 (pow.f64 x 3)))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 2))) (pow.f64 y 2))) (/.f64 x y)))))
(+.f64 (log.f64 (-.f64 x (*.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (-.f64 x (*.f64 -1 x))) (+.f64 (log.f64 (/.f64 -1 y)) (/.f64 x y)))
(+.f64 (log.f64 (-.f64 x (*.f64 -1 x))) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 2))) (pow.f64 y 2))) (/.f64 x y))))
(+.f64 (log.f64 (-.f64 x (*.f64 -1 x))) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -6 (pow.f64 x 3)) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 6 (pow.f64 x 3)))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 2))) (pow.f64 y 2))) (/.f64 x y)))))
-1
(*.f64 -2 (/.f64 x y))
(*.f64 -2 (/.f64 x y))
(*.f64 -2 (/.f64 x y))
-1
-1
(+.f64 0 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
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(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) 1)
(*.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1)
(*.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2) (cbrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))
(log.f64 (+.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1))
(+.f64 0 (*.f64 -2 (/.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) -2)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) -2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) -2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) -2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) -2))))
(-.f64 (fma.f64 -2 (/.f64 x y) 1) 1)
(/.f64 -2 (/.f64 y x))
(/.f64 1 (/.f64 y (*.f64 x -2)))
(/.f64 (*.f64 x -2) y)
(/.f64 (neg.f64 (*.f64 x -2)) (neg.f64 y))
(/.f64 (*.f64 -2 (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) -2) (neg.f64 y))
(/.f64 (*.f64 (*.f64 x -2) 1) y)
(/.f64 (/.f64 (*.f64 x -2) 1) y)
(/.f64 (/.f64 (*.f64 x -2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x -2) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 -2 (/.f64 x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 x y))) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 x y) 3) -8) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 x y))) 2)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 4))
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (/.f64 x y)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) -8))
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 -2 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 x y))) 1))
(log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 x y))))
(fma.f64 1 (fma.f64 -2 (/.f64 x y) 1) -1)
(fma.f64 (fma.f64 -2 (/.f64 x y) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 -2 (/.f64 x y) 1)) (cbrt.f64 (fma.f64 -2 (/.f64 x y) 1))) (cbrt.f64 (fma.f64 -2 (/.f64 x y) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 -2 (/.f64 x y) 1)) (sqrt.f64 (fma.f64 -2 (/.f64 x y) 1)) -1)
(+.f64 (*.f64 -2 (/.f64 x y)) -1)
(+.f64 (*.f64 -2 (/.f64 x y)) (log.f64 (exp.f64 -1)))
(+.f64 -1 (*.f64 -2 (/.f64 x y)))
(+.f64 0 (fma.f64 -2 (/.f64 x y) -1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 -2 (/.f64 x y) -1))) (cbrt.f64 (exp.f64 (fma.f64 -2 (/.f64 x y) -1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -2 (/.f64 x y) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -2 (/.f64 x y) -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -2 (/.f64 x y) -1)))))
(*.f64 1 (fma.f64 -2 (/.f64 x y) -1))
(*.f64 (fma.f64 -2 (/.f64 x y) -1) 1)
(*.f64 (cbrt.f64 (fma.f64 -2 (/.f64 x y) -1)) (pow.f64 (cbrt.f64 (fma.f64 -2 (/.f64 x y) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (/.f64 x y) -1)) 2) (cbrt.f64 (fma.f64 -2 (/.f64 x y) -1)))
(*.f64 (sqrt.f64 (fma.f64 -2 (/.f64 x y) -1)) (sqrt.f64 (fma.f64 -2 (/.f64 x y) -1)))
(*.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -8 -1) (/.f64 1 (fma.f64 (pow.f64 (/.f64 x y) 2) 4 (fma.f64 -2 (/.f64 x y) 1))))
(*.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 4 -1) (/.f64 1 (fma.f64 -2 (/.f64 x y) 1)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 -2) 1) (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 -2) -1))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 4 (fma.f64 -2 (/.f64 x y) 1)) (fma.f64 (pow.f64 (/.f64 x y) 3) -8 -1)))
(/.f64 1 (/.f64 (fma.f64 -2 (/.f64 x y) 1) (fma.f64 (pow.f64 (/.f64 x y) 2) 4 -1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -8 -1) (fma.f64 (pow.f64 (/.f64 x y) 2) 4 (fma.f64 -2 (/.f64 x y) 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -8 -1) (fma.f64 (pow.f64 (/.f64 x y) 2) 4 (-.f64 1 (*.f64 (*.f64 -2 (/.f64 x y)) -1))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 4 -1) (fma.f64 -2 (/.f64 x y) 1))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -8 -1)) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 4 (fma.f64 -2 (/.f64 x y) 1))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 4 -1)) (neg.f64 (fma.f64 -2 (/.f64 x y) 1)))
(pow.f64 (fma.f64 -2 (/.f64 x y) -1) 1)
(pow.f64 (cbrt.f64 (fma.f64 -2 (/.f64 x y) -1)) 3)
(pow.f64 (pow.f64 (fma.f64 -2 (/.f64 x y) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -2 (/.f64 x y) -1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 -2 (/.f64 x y) -1) 2))
(log.f64 (exp.f64 (fma.f64 -2 (/.f64 x y) -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -2 (/.f64 x y) -1))))
(cbrt.f64 (pow.f64 (fma.f64 -2 (/.f64 x y) -1) 3))
(expm1.f64 (log.f64 (*.f64 -2 (/.f64 x y))))
(expm1.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 x y))) 1))
(exp.f64 (log.f64 (fma.f64 -2 (/.f64 x y) -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -2 (/.f64 x y) -1)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -2 (/.f64 x y) -1)))
(fma.f64 x (*.f64 (/.f64 1 y) -2) -1)
(fma.f64 -2 (/.f64 x y) -1)
(fma.f64 (/.f64 x y) -2 -1)
(fma.f64 (*.f64 -2 (/.f64 x y)) 1 -1)
(fma.f64 1 (*.f64 -2 (/.f64 x y)) -1)
(fma.f64 (cbrt.f64 (*.f64 -2 (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 x y))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 x y))) 2) (cbrt.f64 (*.f64 -2 (/.f64 x y))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 x y))) 2) (*.f64 (cbrt.f64 (*.f64 -2 (/.f64 x y))) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) -2) -1)
(fma.f64 (sqrt.f64 (*.f64 -2 (/.f64 x y))) (sqrt.f64 (*.f64 -2 (/.f64 x y))) -1)
(fma.f64 (sqrt.f64 (*.f64 -2 (/.f64 x y))) (*.f64 (sqrt.f64 (*.f64 -2 (/.f64 x y))) 1) -1)
(fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) -2) -1)
(fma.f64 (*.f64 x -2) (/.f64 1 y) -1)
(fma.f64 (/.f64 -2 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) -1)
(fma.f64 (/.f64 -2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) -1)
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)) -1)
(fma.f64 (*.f64 -2 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) -1)
Outputs
(+.f64 (log.f64 x) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 y)))))
(+.f64 (log.f64 x) (log.f64 (/.f64 -2 y)))
(log.f64 (*.f64 x (/.f64 -2 y)))
(+.f64 (log.f64 x) (+.f64 (log.f64 (neg.f64 (*.f64 2 (/.f64 1 y)))) (/.f64 x y)))
(+.f64 (log.f64 x) (+.f64 (log.f64 (/.f64 -2 y)) (/.f64 x y)))
(+.f64 (log.f64 (/.f64 -2 y)) (+.f64 (log.f64 x) (/.f64 x y)))
(+.f64 (/.f64 x y) (log.f64 (*.f64 x (/.f64 -2 y))))
(+.f64 (log.f64 x) (+.f64 (log.f64 (neg.f64 (*.f64 2 (/.f64 1 y)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))))
(+.f64 (log.f64 x) (+.f64 (log.f64 (/.f64 -2 y)) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))))
(+.f64 (log.f64 x) (+.f64 (log.f64 (/.f64 -2 y)) (fma.f64 1/2 (pow.f64 (/.f64 x y) 2) (/.f64 x y))))
(+.f64 (log.f64 (*.f64 x (/.f64 -2 y))) (fma.f64 1/2 (pow.f64 (/.f64 x y) 2) (/.f64 x y)))
(+.f64 (log.f64 x) (+.f64 (log.f64 (neg.f64 (*.f64 2 (/.f64 1 y)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 (/.f64 -2 y)) (fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 (/.f64 -2 y)) (fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (fma.f64 1/2 (pow.f64 (/.f64 x y) 2) (/.f64 x y)))))
(+.f64 (fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (fma.f64 1/2 (pow.f64 (/.f64 x y) 2) (/.f64 x y))) (log.f64 (*.f64 x (/.f64 -2 y))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (-.f64 y (*.f64 -1 y)) x)))
(+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (-.f64 y (neg.f64 y)) x)))
(fma.f64 1/2 (/.f64 (*.f64 2 y) x) (log.f64 2))
(+.f64 (log.f64 2) (/.f64 y x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 y (*.f64 -1 y)) 2)) (*.f64 y (-.f64 y (*.f64 -1 y)))) (pow.f64 x 2))) (*.f64 1/2 (/.f64 (-.f64 y (*.f64 -1 y)) x))))
(+.f64 (log.f64 2) (*.f64 1/2 (+.f64 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 y (neg.f64 y)) 2) (*.f64 y (-.f64 y (neg.f64 y)))) (pow.f64 x 2)) (/.f64 (-.f64 y (neg.f64 y)) x))))
(fma.f64 1/2 (+.f64 (/.f64 (*.f64 2 y) x) (/.f64 (fma.f64 y (*.f64 2 y) (*.f64 -1/4 (pow.f64 (*.f64 2 y) 2))) (pow.f64 x 2))) (log.f64 2))
(+.f64 (log.f64 2) (fma.f64 1/2 (/.f64 (fma.f64 -1/4 (*.f64 4 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2))) (pow.f64 x 2)) (/.f64 y x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -3/2 (*.f64 y (pow.f64 (-.f64 y (*.f64 -1 y)) 2))) (+.f64 (*.f64 1/4 (pow.f64 (-.f64 y (*.f64 -1 y)) 3)) (*.f64 3 (*.f64 (pow.f64 y 2) (-.f64 y (*.f64 -1 y)))))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 y (*.f64 -1 y)) 2)) (*.f64 y (-.f64 y (*.f64 -1 y)))) (pow.f64 x 2))) (*.f64 1/2 (/.f64 (-.f64 y (*.f64 -1 y)) x)))))
(+.f64 (log.f64 2) (fma.f64 1/6 (/.f64 (fma.f64 -3/2 (*.f64 y (pow.f64 (-.f64 y (neg.f64 y)) 2)) (fma.f64 1/4 (pow.f64 (-.f64 y (neg.f64 y)) 3) (*.f64 (*.f64 3 (pow.f64 y 2)) (-.f64 y (neg.f64 y))))) (pow.f64 x 3)) (*.f64 1/2 (+.f64 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 y (neg.f64 y)) 2) (*.f64 y (-.f64 y (neg.f64 y)))) (pow.f64 x 2)) (/.f64 (-.f64 y (neg.f64 y)) x)))))
(+.f64 (log.f64 2) (fma.f64 1/2 (+.f64 (/.f64 (*.f64 2 y) x) (/.f64 (fma.f64 y (*.f64 2 y) (*.f64 -1/4 (pow.f64 (*.f64 2 y) 2))) (pow.f64 x 2))) (*.f64 1/6 (/.f64 (fma.f64 -3/2 (*.f64 y (pow.f64 (*.f64 2 y) 2)) (fma.f64 1/4 (pow.f64 (*.f64 2 y) 3) (*.f64 (pow.f64 y 2) (*.f64 (*.f64 2 y) 3)))) (pow.f64 x 3)))))
(+.f64 (log.f64 2) (fma.f64 1/6 (/.f64 (fma.f64 -3/2 (*.f64 y (*.f64 4 (pow.f64 y 2))) (fma.f64 1/4 (*.f64 8 (pow.f64 y 3)) (*.f64 3 (*.f64 2 (pow.f64 y 3))))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (fma.f64 -1/4 (*.f64 4 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2))) (pow.f64 x 2)) (/.f64 y x))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (-.f64 y (*.f64 -1 y)) x)))
(+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (-.f64 y (neg.f64 y)) x)))
(fma.f64 1/2 (/.f64 (*.f64 2 y) x) (log.f64 2))
(+.f64 (log.f64 2) (/.f64 y x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 y (*.f64 -1 y)) 2)) (*.f64 y (-.f64 y (*.f64 -1 y)))) (pow.f64 x 2))) (*.f64 1/2 (/.f64 (-.f64 y (*.f64 -1 y)) x))))
(+.f64 (log.f64 2) (*.f64 1/2 (+.f64 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 y (neg.f64 y)) 2) (*.f64 y (-.f64 y (neg.f64 y)))) (pow.f64 x 2)) (/.f64 (-.f64 y (neg.f64 y)) x))))
(fma.f64 1/2 (+.f64 (/.f64 (*.f64 2 y) x) (/.f64 (fma.f64 y (*.f64 2 y) (*.f64 -1/4 (pow.f64 (*.f64 2 y) 2))) (pow.f64 x 2))) (log.f64 2))
(+.f64 (log.f64 2) (fma.f64 1/2 (/.f64 (fma.f64 -1/4 (*.f64 4 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2))) (pow.f64 x 2)) (/.f64 y x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -3 (*.f64 (pow.f64 y 2) (-.f64 y (*.f64 -1 y)))) (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 y (*.f64 -1 y)) 3)) (*.f64 3/2 (*.f64 y (pow.f64 (-.f64 y (*.f64 -1 y)) 2))))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 y (*.f64 -1 y)) 2)) (*.f64 y (-.f64 y (*.f64 -1 y)))) (pow.f64 x 2))) (*.f64 1/2 (/.f64 (-.f64 y (*.f64 -1 y)) x)))))
(+.f64 (log.f64 2) (fma.f64 -1/6 (/.f64 (fma.f64 -3 (*.f64 (pow.f64 y 2) (-.f64 y (neg.f64 y))) (fma.f64 -1/4 (pow.f64 (-.f64 y (neg.f64 y)) 3) (*.f64 (*.f64 3/2 y) (pow.f64 (-.f64 y (neg.f64 y)) 2)))) (pow.f64 x 3)) (*.f64 1/2 (+.f64 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 y (neg.f64 y)) 2) (*.f64 y (-.f64 y (neg.f64 y)))) (pow.f64 x 2)) (/.f64 (-.f64 y (neg.f64 y)) x)))))
(+.f64 (log.f64 2) (fma.f64 1/2 (+.f64 (/.f64 (*.f64 2 y) x) (/.f64 (fma.f64 y (*.f64 2 y) (*.f64 -1/4 (pow.f64 (*.f64 2 y) 2))) (pow.f64 x 2))) (*.f64 -1/6 (/.f64 (fma.f64 (+.f64 (pow.f64 y 3) (pow.f64 y 3)) -3 (fma.f64 -1/4 (pow.f64 (*.f64 2 y) 3) (*.f64 (pow.f64 (*.f64 2 y) 2) (*.f64 y 3/2)))) (pow.f64 x 3)))))
(+.f64 (log.f64 2) (fma.f64 -1/6 (/.f64 (fma.f64 (*.f64 2 (pow.f64 y 3)) -3 (*.f64 (*.f64 4 (pow.f64 y 2)) (+.f64 (*.f64 (*.f64 2 y) -1/4) (*.f64 y 3/2)))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (fma.f64 -1/4 (*.f64 4 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2))) (pow.f64 x 2)) (/.f64 y x))))
(log.f64 2)
(+.f64 (log.f64 2) (/.f64 y x))
(+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (-.f64 y (neg.f64 y)) x)))
(fma.f64 1/2 (/.f64 (*.f64 2 y) x) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 y x)))
(+.f64 (log.f64 2) (fma.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (/.f64 y x)))
(+.f64 (log.f64 2) (+.f64 (/.f64 y x) (/.f64 1/2 (pow.f64 (/.f64 x y) 2))))
(+.f64 (+.f64 (log.f64 2) (/.f64 y x)) (/.f64 1/2 (pow.f64 (/.f64 x y) 2)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 y x))))
(+.f64 (log.f64 2) (fma.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (/.f64 y x))))
(+.f64 (log.f64 2) (+.f64 (/.f64 y x) (+.f64 (/.f64 1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 1/3 (pow.f64 (/.f64 x y) 3)))))
(+.f64 (+.f64 (log.f64 2) (/.f64 y x)) (fma.f64 1/3 (pow.f64 (/.f64 y x) 3) (/.f64 1/2 (pow.f64 (/.f64 x y) 2))))
(+.f64 (log.f64 (-.f64 (*.f64 -1 x) x)) (log.f64 (/.f64 1 y)))
(+.f64 (log.f64 x) (log.f64 (/.f64 -2 y)))
(log.f64 (*.f64 x (/.f64 -2 y)))
(+.f64 (log.f64 (-.f64 (*.f64 -1 x) x)) (+.f64 (log.f64 (/.f64 1 y)) (/.f64 x y)))
(+.f64 (log.f64 x) (+.f64 (log.f64 (/.f64 -2 y)) (/.f64 x y)))
(+.f64 (log.f64 (/.f64 -2 y)) (+.f64 (log.f64 x) (/.f64 x y)))
(+.f64 (/.f64 x y) (log.f64 (*.f64 x (/.f64 -2 y))))
(+.f64 (log.f64 (-.f64 (*.f64 -1 x) x)) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 2))) (pow.f64 y 2))) (/.f64 x y))))
(+.f64 (log.f64 x) (+.f64 (log.f64 (/.f64 -2 y)) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))))
(+.f64 (log.f64 x) (+.f64 (log.f64 (/.f64 -2 y)) (fma.f64 1/2 (pow.f64 (/.f64 x y) 2) (/.f64 x y))))
(+.f64 (log.f64 (*.f64 x (/.f64 -2 y))) (fma.f64 1/2 (pow.f64 (/.f64 x y) 2) (/.f64 x y)))
(+.f64 (log.f64 (-.f64 (*.f64 -1 x) x)) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -6 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 6 (pow.f64 x 3)))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 2))) (pow.f64 y 2))) (/.f64 x y)))))
(+.f64 (log.f64 (-.f64 (neg.f64 x) x)) (+.f64 (neg.f64 (log.f64 y)) (fma.f64 1/6 (/.f64 (fma.f64 -6 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 8)) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) 1) (pow.f64 y 2)) (/.f64 x y)))))
(+.f64 (log.f64 (*.f64 x (/.f64 -2 y))) (fma.f64 1/6 (/.f64 (*.f64 2 (pow.f64 x 3)) (pow.f64 y 3)) (fma.f64 1/2 (pow.f64 (/.f64 x y) 2) (/.f64 x y))))
(+.f64 (log.f64 (-.f64 x (*.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 x) (log.f64 (/.f64 -2 y)))
(log.f64 (*.f64 x (/.f64 -2 y)))
(+.f64 (log.f64 (-.f64 x (*.f64 -1 x))) (+.f64 (log.f64 (/.f64 -1 y)) (/.f64 x y)))
(+.f64 (log.f64 x) (+.f64 (log.f64 (/.f64 -2 y)) (/.f64 x y)))
(+.f64 (log.f64 (/.f64 -2 y)) (+.f64 (log.f64 x) (/.f64 x y)))
(+.f64 (/.f64 x y) (log.f64 (*.f64 x (/.f64 -2 y))))
(+.f64 (log.f64 (-.f64 x (*.f64 -1 x))) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 2))) (pow.f64 y 2))) (/.f64 x y))))
(+.f64 (log.f64 x) (+.f64 (log.f64 (/.f64 -2 y)) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))))
(+.f64 (log.f64 x) (+.f64 (log.f64 (/.f64 -2 y)) (fma.f64 1/2 (pow.f64 (/.f64 x y) 2) (/.f64 x y))))
(+.f64 (log.f64 (*.f64 x (/.f64 -2 y))) (fma.f64 1/2 (pow.f64 (/.f64 x y) 2) (/.f64 x y)))
(+.f64 (log.f64 (-.f64 x (*.f64 -1 x))) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -6 (pow.f64 x 3)) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 6 (pow.f64 x 3)))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 2))) (pow.f64 y 2))) (/.f64 x y)))))
(+.f64 (log.f64 (-.f64 x (neg.f64 x))) (+.f64 (log.f64 (/.f64 -1 y)) (fma.f64 -1/6 (/.f64 (fma.f64 -6 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 4)) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) 1) (pow.f64 y 2)) (/.f64 x y)))))
(+.f64 (log.f64 (*.f64 x 2)) (+.f64 (log.f64 (/.f64 -1 y)) (fma.f64 -1/6 (/.f64 (*.f64 (pow.f64 x 3) -2) (pow.f64 y 3)) (fma.f64 1/2 (pow.f64 (/.f64 x y) 2) (/.f64 x y)))))
(+.f64 (log.f64 (*.f64 x (/.f64 -2 y))) (fma.f64 -1/6 (/.f64 (*.f64 (pow.f64 x 3) -2) (pow.f64 y 3)) (fma.f64 1/2 (pow.f64 (/.f64 x y) 2) (/.f64 x y))))
-1
(*.f64 -2 (/.f64 x y))
(*.f64 (/.f64 x y) -2)
(*.f64 x (/.f64 -2 y))
(*.f64 -2 (/.f64 x y))
(*.f64 (/.f64 x y) -2)
(*.f64 x (/.f64 -2 y))
(*.f64 -2 (/.f64 x y))
(*.f64 (/.f64 x y) -2)
(*.f64 x (/.f64 -2 y))
-1
-1
(+.f64 0 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
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(fma.f64 (/.f64 x y) -2 -1)
(fma.f64 x (/.f64 -2 y) -1)
(fma.f64 (sqrt.f64 (*.f64 -2 (/.f64 x y))) (*.f64 (sqrt.f64 (*.f64 -2 (/.f64 x y))) 1) -1)
(fma.f64 (/.f64 x y) -2 -1)
(fma.f64 x (/.f64 -2 y) -1)
(fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) -2) -1)
(fma.f64 (/.f64 x y) -2 -1)
(fma.f64 x (/.f64 -2 y) -1)
(fma.f64 (*.f64 x -2) (/.f64 1 y) -1)
(fma.f64 (/.f64 x y) -2 -1)
(fma.f64 x (/.f64 -2 y) -1)
(fma.f64 (/.f64 -2 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) -1)
(fma.f64 (/.f64 x y) -2 -1)
(fma.f64 x (/.f64 -2 y) -1)
(fma.f64 (/.f64 -2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) -1)
(fma.f64 (/.f64 x y) -2 -1)
(fma.f64 x (/.f64 -2 y) -1)
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)) -1)
(fma.f64 (/.f64 x y) -2 -1)
(fma.f64 x (/.f64 -2 y) -1)
(fma.f64 (*.f64 -2 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) -1)
(fma.f64 (/.f64 x y) -2 -1)
(fma.f64 x (/.f64 -2 y) -1)

eval309.0ms (11.9%)

Compiler

Compiled 4665 to 2718 computations (41.7% saved)

prune91.0ms (3.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2650265
Fresh022
Picked022
Done011
Total2655270
Accuracy
100.0%
Counts
270 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
✓50.2%
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
✓98.0%
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
49.9%
1
48.9%
-1
✓100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
✓50.2%
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
✓98.0%
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
49.9%
1
48.9%
-1
Compiler

Compiled 70 to 50 computations (28.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done033
Total055
Accuracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
✓50.2%
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
✓98.0%
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
49.9%
1
48.9%
-1
✓100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
✓50.2%
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
✓98.0%
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
49.9%
1
48.9%
-1
Compiler

Compiled 70 to 50 computations (28.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done033
Total055
Accuracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
✓50.2%
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
✓98.0%
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
49.9%
1
48.9%
-1
Compiler

Compiled 62 to 39 computations (37.1% saved)

regimes24.0ms (0.9%)

Counts
5 → 1
Calls
Call 1
Inputs
-1
1
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
(/.f64 (+.f64 x y) (-.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
Outputs
(/.f64 (+.f64 x y) (-.f64 x y))
Calls

3 calls:

16.0ms
y
4.0ms
x
2.0ms
(/.f64 (+.f64 x y) (-.f64 x y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 42 to 23 computations (45.2% saved)

regimes48.0ms (1.8%)

Counts
3 → 5
Calls
Call 1
Inputs
-1
1
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
Outputs
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
1
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
1
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
Calls

2 calls:

28.0ms
y
19.0ms
x
Results
AccuracySegmentsBranch
76.0%5x
79.2%5y
Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes37.0ms (1.4%)

Counts
2 → 7
Calls
Call 1
Inputs
-1
1
Outputs
-1
1
-1
1
-1
1
-1
Calls

1 calls:

36.0ms
y
Results
AccuracySegmentsBranch
80.1%7y
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes6.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
-1
Outputs
-1
Calls

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
48.9%1x
48.9%1y
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch46.0ms (1.8%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
3.7992697669446646e-7
0.016949936876219283
13.0ms
-3.0828661153441628e-124
-6.190497942049294e-127
11.0ms
-1.7761774810058524e+74
-2.173397953383094e+73
8.0ms
-2.7202544778550025e+116
-7.992170022575807e+115
Results
40.0ms432×body256valid
Compiler

Compiled 392 to 333 computations (15.1% saved)

bsearch124.0ms (4.8%)

Algorithm
6×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×predicate-same
1×predicate-same
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
14.0ms
3.7992697669446646e-7
0.016949936876219283
13.0ms
-8.455548394652391e-101
-1.8381204452327865e-103
2.0ms
-9.368277308905994e-59
-5.314116089676088e-63
77.0ms
-233488642.10361484
-7.94463688055127
10.0ms
-9.274994512547786e+90
-8.46376984858307e+85
8.0ms
-2.7202544778550025e+116
-7.992170022575807e+115
Results
117.0ms560×body256valid
Compiler

Compiled 294 to 289 computations (1.7% saved)

simplify11.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
24×not-or
20×not-not
20×if-not
16×if-if-or-not
10×+-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049218
166218
278206
397202
4109202
5123202
6131202
7137202
8139202
9140202
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 y -80000000000000001244753290357347441941456111753684914669581646434466702493180456261198831193203795814096502469427200) (-.f64 (*.f64 -2 (/.f64 x y)) 1) (if (<=.f64 y -47000000000000001870351986902521637137663181994476111556141798635178295296) 1 (if (<=.f64 y -3632100325952063/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904) (-.f64 (*.f64 -2 (/.f64 x y)) 1) (if (<=.f64 y 6611313076017503/4722366482869645213696) 1 (-.f64 (*.f64 -2 (/.f64 x y)) 1)))))
(if (<=.f64 y -85000000000000005697051820570705505807801572973532952542769361123045744250545447597429756541530879499503887919874048) -1 (if (<=.f64 y -5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840) 1 (if (<=.f64 y -200000) -1 (if (<=.f64 y -2826955303645415/56539106072908298546665520023773392506479484700019806659891398441363832832) 1 (if (<=.f64 y -6619537040994273/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632) -1 (if (<=.f64 y 2582544170319337/36893488147419103232) 1 -1))))))
-1
Outputs
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 y -80000000000000001244753290357347441941456111753684914669581646434466702493180456261198831193203795814096502469427200) (-.f64 (*.f64 -2 (/.f64 x y)) 1) (if (<=.f64 y -47000000000000001870351986902521637137663181994476111556141798635178295296) 1 (if (<=.f64 y -3632100325952063/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904) (-.f64 (*.f64 -2 (/.f64 x y)) 1) (if (<=.f64 y 6611313076017503/4722366482869645213696) 1 (-.f64 (*.f64 -2 (/.f64 x y)) 1)))))
(if (<=.f64 y -80000000000000001244753290357347441941456111753684914669581646434466702493180456261198831193203795814096502469427200) (-.f64 (*.f64 -2 (/.f64 x y)) 1) (if (<=.f64 y -47000000000000001870351986902521637137663181994476111556141798635178295296) 1 (if (or (<=.f64 y -3632100325952063/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904) (not (<=.f64 y 6611313076017503/4722366482869645213696))) (-.f64 (*.f64 -2 (/.f64 x y)) 1) 1)))
(if (or (<=.f64 y -80000000000000001244753290357347441941456111753684914669581646434466702493180456261198831193203795814096502469427200) (not (or (<=.f64 y -47000000000000001870351986902521637137663181994476111556141798635178295296) (not (or (<=.f64 y -3632100325952063/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904) (not (<=.f64 y 6611313076017503/4722366482869645213696))))))) (+.f64 (*.f64 -2 (/.f64 x y)) -1) 1)
(if (or (<=.f64 y -80000000000000001244753290357347441941456111753684914669581646434466702493180456261198831193203795814096502469427200) (not (or (<=.f64 y -47000000000000001870351986902521637137663181994476111556141798635178295296) (and (not (<=.f64 y -3632100325952063/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904)) (<=.f64 y 6611313076017503/4722366482869645213696))))) (+.f64 (*.f64 -2 (/.f64 x y)) -1) 1)
(if (or (<=.f64 y -80000000000000001244753290357347441941456111753684914669581646434466702493180456261198831193203795814096502469427200) (and (not (<=.f64 y -47000000000000001870351986902521637137663181994476111556141798635178295296)) (or (<=.f64 y -3632100325952063/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904) (not (<=.f64 y 6611313076017503/4722366482869645213696))))) (+.f64 (*.f64 -2 (/.f64 x y)) -1) 1)
(if (<=.f64 y -85000000000000005697051820570705505807801572973532952542769361123045744250545447597429756541530879499503887919874048) -1 (if (<=.f64 y -5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840) 1 (if (<=.f64 y -200000) -1 (if (<=.f64 y -2826955303645415/56539106072908298546665520023773392506479484700019806659891398441363832832) 1 (if (<=.f64 y -6619537040994273/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632) -1 (if (<=.f64 y 2582544170319337/36893488147419103232) 1 -1))))))
-1
Compiler

Compiled 73 to 57 computations (21.9% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess193.0ms (7.4%)

Compiler

Compiled 182 to 128 computations (29.7% saved)

Profiling

Loading profile data...