Details

Time bar (total: 8.6s)

analyze252.0ms (2.9%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
3.2%3.1%93.7%0.1%0%3.1%0%6
17.5%15.6%73.4%0.1%1.6%9.4%0%7
23%20.3%67.9%0.1%1.6%10.1%0%8
34.1%28.9%55.8%0.1%2.3%12.9%0%9
37.4%31.6%52.9%0.1%2.3%13.1%0%10
43.6%36.1%46.7%0.1%2.7%14.3%0%11
45.4%37.6%45.2%0.1%2.7%14.4%0%12
Compiler

Compiled 15 to 12 computations (20% saved)

sample2.2s (25.9%)

Results
952.0ms6380×body256valid
465.0ms1100×body1024valid
234.0ms686×body512valid
168.0ms844×body256infinite
141.0ms965×body256invalid
135.0ms524×body1024invalid
65.0ms319×body512invalid
61.0ms90×body2048valid
0.0msbody512infinite
Bogosity

preprocess87.0ms (1%)

Algorithm
egg-herbie
Rules
1004×associate-+l-
832×fma-def
802×associate-/r*
794×associate-+r-
748×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01870
14066
27558
316558
444558
5101758
6241758
7584158
8775258
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 y x) (-.f64 1 x)))))
Outputs
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 (-.f64 x y)) (-.f64 1 y))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 y 1))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 y x) (-.f64 1 x)))))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 (-.f64 y x)) (-.f64 1 x))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 1 x))))
Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify107.0ms (1.2%)

Algorithm
egg-herbie
Rules
1106×associate-+l-
1036×fma-def
1016×associate--r+
844×associate-+r+
810×associate-+r-
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01235
12433
24233
39029
422629
551329
6117629
7263629
8494629
9599529
10700729
Stop Event
node limit
Counts
1 → 4
Calls
Call 1
Inputs
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
Outputs
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 (-.f64 x y)) (-.f64 1 y))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))

eval1.0ms (0%)

Compiler

Compiled 45 to 31 computations (31.1% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New314
Fresh101
Picked000
Done000
Total415
Error
17.1b
Counts
5 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
17.1b
(-.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
Compiler

Compiled 12 to 9 computations (25% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 y x) (-.f64 1 y))
1.8b
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))
Compiler

Compiled 36 to 19 computations (47.2% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))
1.0ms
y
@0
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))
1.0ms
y
@-inf
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))
1.0ms
x
@0
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))
1.0ms
x
@-inf
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))

rewrite118.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1500×associate-*l/
1446×associate-/r*
1336×associate-/l*
1082×*-commutative
786×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042
121842
2307342
Stop Event
node limit
Counts
2 → 90
Calls
Call 1
Inputs
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))
(/.f64 (-.f64 y x) (-.f64 1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) 2) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (/.f64 (-.f64 y x) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (-.f64 1 y)) (neg.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 x (-.f64 1 y))) (/.f64 y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y (-.f64 1 y)) (/.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 y x) (-.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) (+.f64 (/.f64 x (-.f64 1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y x) (/.f64 1 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 y x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (fma.f64 y y y)) (/.f64 (-.f64 y x) (-.f64 1 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 y) x) (/.f64 1 (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 (-.f64 1 y))) (sqrt.f64 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 (-.f64 1 y))) (pow.f64 (cbrt.f64 (-.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y x) (sqrt.f64 (-.f64 1 y))) (/.f64 1 (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 y))) (/.f64 (-.f64 y x) (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 (-.f64 y x) (cbrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y x) (cbrt.f64 (-.f64 1 y))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y x) (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 y y))) (*.f64 (-.f64 y x) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 y 3))) (*.f64 (-.f64 y x) (+.f64 1 (fma.f64 y y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 y)) (+.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (-.f64 1 y)) (sqrt.f64 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (-.f64 1 y)) (/.f64 (sqrt.f64 (-.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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y)))) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (neg.f64 y) x) (neg.f64 (-.f64 1 (pow.f64 y 3)))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (/.f64 1 (-.f64 1 y))) (*.f64 (-.f64 y x) (+.f64 y x))) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (/.f64 1 (-.f64 1 y))) (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 1 y)) (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x (+.f64 y x)) (*.f64 x (+.f64 y x))))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 1 y)) (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 y y) 3) (pow.f64 (*.f64 x (+.f64 y x)) 3))) (-.f64 (+.f64 (*.f64 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egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 y) (-.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 y x) (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))))))

simplify102.0ms (1.2%)

Algorithm
egg-herbie
Rules
784×associate-+l-
732×associate-+r-
644×associate--r+
494×associate--l+
480×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04136346
113575680
260035680
Stop Event
node limit
Counts
138 → 250
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x))))) (log.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x))))) (pow.f64 y 2))) (+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x))))) (log.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x))))) (pow.f64 y 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (+.f64 (*.f64 6 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x)))) (*.f64 -6 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))))))) (+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x))))) (log.f64 (+.f64 1 (*.f64 -1 x))))))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 (-.f64 x 1)) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) y))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) y)))))
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (+.f64 (*.f64 -6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) 3))))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) y))))))
(log.f64 (+.f64 1 (/.f64 y (-.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) (-.f64 1 y)))) (log.f64 (+.f64 1 (/.f64 y (-.f64 1 y)))))
(+.f64 (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) (-.f64 1 y)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 2) (pow.f64 (-.f64 1 y) 2)))) (log.f64 (+.f64 1 (/.f64 y (-.f64 1 y))))))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 3) (pow.f64 (-.f64 1 y) 3)))) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) (-.f64 1 y)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 2) (pow.f64 (-.f64 1 y) 2)))) (log.f64 (+.f64 1 (/.f64 y (-.f64 1 y)))))))
(+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 1 y)))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) (-.f64 1 y)) x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (neg.f64 (/.f64 1 (-.f64 1 y))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) (-.f64 1 y)) x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 1 y)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 2) (pow.f64 (-.f64 1 y) 2)) (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) (-.f64 1 y)) x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 1 y)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 2) (pow.f64 (-.f64 1 y) 2)) (pow.f64 x 2))) (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 3) (pow.f64 (-.f64 1 y) 3)) (pow.f64 x 3)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 (-.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) (-.f64 1 y)) x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 (-.f64 1 y)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) (-.f64 1 y)) x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (/.f64 1 (-.f64 1 y))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 2) (pow.f64 (-.f64 1 y) 2)) (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) (-.f64 1 y)) x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (/.f64 1 (-.f64 1 y))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 2) (pow.f64 (-.f64 1 y) 2)) (pow.f64 x 2))) (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 3) (pow.f64 (-.f64 1 y) 3)) (pow.f64 x 3)))))))
(*.f64 -1 x)
(+.f64 (*.f64 y (-.f64 1 x)) (*.f64 -1 x))
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (*.f64 -1 x)))
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (*.f64 -1 x))))
-1
(-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
-1
(-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1))
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2)))) (+.f64 (/.f64 1 y) 1))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))))) (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))
(/.f64 y (-.f64 1 y))
(+.f64 (/.f64 y (-.f64 1 y)) (*.f64 -1 (/.f64 x (-.f64 1 y))))
(+.f64 (/.f64 y (-.f64 1 y)) (*.f64 -1 (/.f64 x (-.f64 1 y))))
(+.f64 (/.f64 y (-.f64 1 y)) (*.f64 -1 (/.f64 x (-.f64 1 y))))
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(+.f64 (/.f64 y (-.f64 1 y)) (*.f64 -1 (/.f64 x (-.f64 1 y))))
(+.f64 (/.f64 y (-.f64 1 y)) (*.f64 -1 (/.f64 x (-.f64 1 y))))
(+.f64 (/.f64 y (-.f64 1 y)) (*.f64 -1 (/.f64 x (-.f64 1 y))))
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(+.f64 (/.f64 y (-.f64 1 y)) (*.f64 -1 (/.f64 x (-.f64 1 y))))
(+.f64 (/.f64 y (-.f64 1 y)) (*.f64 -1 (/.f64 x (-.f64 1 y))))
(+.f64 (/.f64 y (-.f64 1 y)) (*.f64 -1 (/.f64 x (-.f64 1 y))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))) 1)
(*.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
(*.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) 2) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))))
(pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 2))
(log.f64 (+.f64 1 (/.f64 (-.f64 y x) (-.f64 1 y))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))))
(+.f64 1 (-.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 1))
(+.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 0)
(+.f64 (/.f64 y (-.f64 1 y)) (neg.f64 (/.f64 x (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 x (-.f64 1 y))) (/.f64 y (-.f64 1 y)))
(-.f64 (/.f64 y (-.f64 1 y)) (/.f64 x (-.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (-.f64 y x) (-.f64 1 y))) 1)
(-.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) (+.f64 (/.f64 x (-.f64 1 y)) 1))
(*.f64 (-.f64 y x) (/.f64 1 (-.f64 1 y)))
(*.f64 1 (/.f64 (-.f64 y x) (-.f64 1 y)))
(*.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) (sqrt.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
(*.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 (-.f64 1 y))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 2) (cbrt.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 (-.f64 1 y))))
(*.f64 (+.f64 y 1) (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))))
(*.f64 (/.f64 1 (-.f64 1 y)) (-.f64 y x))
(*.f64 (+.f64 1 (fma.f64 y y y)) (/.f64 (-.f64 y x) (-.f64 1 (pow.f64 y 3))))
(*.f64 (+.f64 (neg.f64 y) x) (/.f64 1 (+.f64 -1 y)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 (-.f64 1 y))) (sqrt.f64 (-.f64 y x)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 (-.f64 1 y))) (pow.f64 (cbrt.f64 (-.f64 y x)) 2))
(*.f64 (/.f64 (-.f64 y x) (sqrt.f64 (-.f64 1 y))) (/.f64 1 (sqrt.f64 (-.f64 1 y))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 y))) (/.f64 (-.f64 y x) (sqrt.f64 (-.f64 1 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 (-.f64 y x) (cbrt.f64 (-.f64 1 y))))
(*.f64 (/.f64 (-.f64 y x) (cbrt.f64 (-.f64 1 y))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)))
(*.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) (+.f64 y 1))
(*.f64 (/.f64 (-.f64 y x) (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 y y))) (*.f64 (-.f64 y x) (+.f64 y 1)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 y 3))) (*.f64 (-.f64 y x) (+.f64 1 (fma.f64 y y y))))
(*.f64 (/.f64 1 (+.f64 -1 y)) (+.f64 (neg.f64 y) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) (-.f64 1 y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (-.f64 1 y)) (sqrt.f64 (-.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (-.f64 1 y)) (/.f64 (sqrt.f64 (-.f64 y x)) 1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 1 y))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 1 y))) (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) (-.f64 1 y)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 y x)) (-.f64 1 y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 (-.f64 1 y))) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 1 y))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 1 y))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 (-.f64 1 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (-.f64 1 y)) (cbrt.f64 (-.f64 y x)))
(*.f64 (/.f64 (-.f64 y x) (neg.f64 (-.f64 1 (*.f64 y y)))) (neg.f64 (+.f64 y 1)))
(*.f64 (/.f64 (-.f64 y x) (neg.f64 (-.f64 1 (pow.f64 y 3)))) (neg.f64 (+.f64 1 (fma.f64 y y y))))
(*.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 (neg.f64 y) (neg.f64 y)))) (+.f64 y 1))
(*.f64 (/.f64 (-.f64 y x) (+.f64 1 (pow.f64 (neg.f64 y) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (neg.f64 y))))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 y) (pow.f64 (cbrt.f64 (-.f64 y x)) 2))) (cbrt.f64 (-.f64 y x)))
(*.f64 (/.f64 (+.f64 (neg.f64 y) x) (neg.f64 (-.f64 1 (*.f64 y y)))) (+.f64 y 1))
(*.f64 (/.f64 (+.f64 (neg.f64 y) x) (neg.f64 (-.f64 1 (pow.f64 y 3)))) (+.f64 1 (fma.f64 y y y)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (/.f64 1 (-.f64 1 y))) (*.f64 (-.f64 y x) (+.f64 y x))) (-.f64 y x))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (/.f64 1 (-.f64 1 y))) (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 1 y)) (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x (+.f64 y x)) (*.f64 x (+.f64 y x))))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 y x))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 1 y)) (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 y y) 3) (pow.f64 (*.f64 x (+.f64 y x)) 3))) (-.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x (+.f64 y x)) (*.f64 x (+.f64 y x)))) (*.f64 (*.f64 y y) (*.f64 x (+.f64 y x)))))
(*.f64 (/.f64 (/.f64 (-.f64 y x) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 (*.f64 y y)))) (sqrt.f64 (+.f64 y 1)))
(*.f64 (/.f64 (/.f64 (-.f64 y x) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 (pow.f64 y 3)))) (sqrt.f64 (+.f64 1 (fma.f64 y y y))))
(*.f64 (/.f64 (/.f64 (-.f64 y x) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (-.f64 1 (*.f64 y y)))) (cbrt.f64 (+.f64 y 1)))
(*.f64 (/.f64 (/.f64 (-.f64 y x) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 y 3)))) (cbrt.f64 (+.f64 1 (fma.f64 y y y))))
(*.f64 (/.f64 (-.f64 (*.f64 y (-.f64 1 y)) (*.f64 x (-.f64 1 y))) (*.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 (*.f64 y y)))) (*.f64 (+.f64 y 1) (+.f64 y 1)))
(*.f64 (/.f64 (-.f64 (*.f64 y (-.f64 1 y)) (*.f64 x (-.f64 1 y))) (*.f64 (-.f64 1 (pow.f64 y 3)) (-.f64 1 (pow.f64 y 3)))) (*.f64 (+.f64 1 (fma.f64 y y y)) (+.f64 1 (fma.f64 y y y))))
(*.f64 (/.f64 (-.f64 (*.f64 y (-.f64 1 y)) (*.f64 x (-.f64 1 y))) (*.f64 (-.f64 1 y) (-.f64 1 (*.f64 y y)))) (+.f64 y 1))
(*.f64 (/.f64 (-.f64 (*.f64 y (-.f64 1 y)) (*.f64 x (-.f64 1 y))) (*.f64 (-.f64 1 y) (-.f64 1 (pow.f64 y 3)))) (+.f64 1 (fma.f64 y y y)))
(*.f64 (/.f64 (-.f64 (*.f64 y (-.f64 1 y)) (*.f64 x (-.f64 1 y))) (*.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 (pow.f64 y 3)))) (*.f64 (+.f64 y 1) (+.f64 1 (fma.f64 y y y))))
(pow.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 1 y) (-.f64 y x)) -1)
(neg.f64 (/.f64 (-.f64 y x) (+.f64 -1 y)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
(exp.f64 (log.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
Outputs
(log.f64 (+.f64 1 (*.f64 -1 x)))
(log1p.f64 (neg.f64 x))
(+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x))))) (log.f64 (+.f64 1 (*.f64 -1 x))))
(fma.f64 y (/.f64 (-.f64 1 x) (-.f64 1 x)) (log1p.f64 (neg.f64 x)))
(+.f64 (log1p.f64 (neg.f64 x)) y)
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x))))) (pow.f64 y 2))) (+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x))))) (log.f64 (+.f64 1 (*.f64 -1 x)))))
(fma.f64 1/2 (*.f64 (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) (/.f64 (*.f64 2 (-.f64 1 x)) (-.f64 1 x))) (*.f64 y y)) (fma.f64 y (/.f64 (-.f64 1 x) (-.f64 1 x)) (log1p.f64 (neg.f64 x))))
(+.f64 (log1p.f64 (neg.f64 x)) (fma.f64 1/2 (*.f64 y y) y))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x))))) (pow.f64 y 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (+.f64 (*.f64 6 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x)))) (*.f64 -6 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))))))) (+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x))))) (log.f64 (+.f64 1 (*.f64 -1 x))))))
(fma.f64 1/2 (*.f64 (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) (/.f64 (*.f64 2 (-.f64 1 x)) (-.f64 1 x))) (*.f64 y y)) (fma.f64 1/6 (*.f64 (pow.f64 y 3) (fma.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (fma.f64 6 (/.f64 (-.f64 1 x) (-.f64 1 x)) (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) -6)))) (fma.f64 y (/.f64 (-.f64 1 x) (-.f64 1 x)) (log1p.f64 (neg.f64 x)))))
(+.f64 (+.f64 (log1p.f64 (neg.f64 x)) (fma.f64 1/2 (*.f64 y y) y)) (*.f64 (pow.f64 y 3) 1/3))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))
(+.f64 (neg.f64 (log.f64 y)) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1))))
(+.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) (log.f64 (+.f64 x -1)))
(+.f64 (/.f64 1 y) (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)))
(-.f64 (+.f64 (/.f64 1 y) (log.f64 (+.f64 -1 x))) (log.f64 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))))
(+.f64 (/.f64 1 y) (+.f64 (+.f64 (/.f64 1/2 (*.f64 y y)) (neg.f64 (log.f64 y))) (log.f64 (+.f64 x -1))))
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (+.f64 -1 x)) (-.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 y))))
(+.f64 (-.f64 (+.f64 (/.f64 1 y) (log.f64 (+.f64 -1 x))) (log.f64 y)) (/.f64 1/2 (*.f64 y y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 (-.f64 x 1)) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))))
(+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))) (+.f64 (neg.f64 (log.f64 y)) (+.f64 (log.f64 (+.f64 x -1)) (/.f64 1/3 (pow.f64 y 3)))))
(+.f64 (+.f64 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) (/.f64 1/3 (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))
(+.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 y) (log.f64 (+.f64 -1 x))) (log.f64 y)) (/.f64 1/2 (*.f64 y y))) (/.f64 1/3 (pow.f64 y 3)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (neg.f64 (+.f64 x -1))) (log.f64 (/.f64 -1 y)))
(+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) y))))
(+.f64 (log.f64 (neg.f64 (+.f64 x -1))) (+.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 x -1)) y))))
(+.f64 (log1p.f64 (neg.f64 x)) (-.f64 (log.f64 (/.f64 -1 y)) (/.f64 (-.f64 1 x) (*.f64 y (+.f64 -1 x)))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) y)))))
(fma.f64 1/2 (/.f64 (+.f64 2 (neg.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) 2)))) (*.f64 y y)) (+.f64 (log.f64 (neg.f64 (+.f64 x -1))) (+.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 x -1)) y)))))
(fma.f64 1/2 (/.f64 (-.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 -1 x) 2))) (*.f64 y y)) (+.f64 (log1p.f64 (neg.f64 x)) (-.f64 (log.f64 (/.f64 -1 y)) (/.f64 (-.f64 1 x) (*.f64 y (+.f64 -1 x))))))
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (+.f64 (*.f64 -6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) 3))))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) y))))))
(fma.f64 -1/6 (/.f64 (fma.f64 6 (/.f64 (-.f64 1 x) (+.f64 x -1)) (fma.f64 -6 (/.f64 (-.f64 1 x) (+.f64 x -1)) (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3))))) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 (+.f64 2 (neg.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) 2)))) (*.f64 y y)) (+.f64 (log.f64 (neg.f64 (+.f64 x -1))) (+.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 x -1)) y))))))
(fma.f64 -1/6 (/.f64 (+.f64 (/.f64 2 (/.f64 (pow.f64 (+.f64 -1 x) 3) (pow.f64 (-.f64 1 x) 3))) (*.f64 (/.f64 (-.f64 1 x) (+.f64 -1 x)) 0)) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 (-.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 -1 x) 2))) (*.f64 y y)) (+.f64 (log1p.f64 (neg.f64 x)) (-.f64 (log.f64 (/.f64 -1 y)) (/.f64 (-.f64 1 x) (*.f64 y (+.f64 -1 x)))))))
(log.f64 (+.f64 1 (/.f64 y (-.f64 1 y))))
(log1p.f64 (/.f64 y (-.f64 1 y)))
(+.f64 (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) (-.f64 1 y)))) (log.f64 (+.f64 1 (/.f64 y (-.f64 1 y)))))
(fma.f64 -1 (/.f64 x (*.f64 (-.f64 1 y) (+.f64 1 (/.f64 y (-.f64 1 y))))) (log1p.f64 (/.f64 y (-.f64 1 y))))
(-.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (*.f64 (-.f64 1 y) (+.f64 1 (/.f64 y (-.f64 1 y))))))
(+.f64 (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) (-.f64 1 y)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 2) (pow.f64 (-.f64 1 y) 2)))) (log.f64 (+.f64 1 (/.f64 y (-.f64 1 y))))))
(fma.f64 -1 (/.f64 x (*.f64 (-.f64 1 y) (+.f64 1 (/.f64 y (-.f64 1 y))))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 2) (pow.f64 (-.f64 1 y) 2))) (log1p.f64 (/.f64 y (-.f64 1 y)))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 x (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 2)) (/.f64 x (pow.f64 (-.f64 1 y) 2))) (log1p.f64 (/.f64 y (-.f64 1 y)))) (/.f64 x (*.f64 (-.f64 1 y) (+.f64 1 (/.f64 y (-.f64 1 y))))))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 3) (pow.f64 (-.f64 1 y) 3)))) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) (-.f64 1 y)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 2) (pow.f64 (-.f64 1 y) 2)))) (log.f64 (+.f64 1 (/.f64 y (-.f64 1 y)))))))
(fma.f64 -1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 3) (pow.f64 (-.f64 1 y) 3))) (fma.f64 -1 (/.f64 x (*.f64 (-.f64 1 y) (+.f64 1 (/.f64 y (-.f64 1 y))))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 2) (pow.f64 (-.f64 1 y) 2))) (log1p.f64 (/.f64 y (-.f64 1 y))))))
(fma.f64 -1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 3) (pow.f64 (-.f64 1 y) 3))) (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 x (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 2)) (/.f64 x (pow.f64 (-.f64 1 y) 2))) (log1p.f64 (/.f64 y (-.f64 1 y)))) (/.f64 x (*.f64 (-.f64 1 y) (+.f64 1 (/.f64 y (-.f64 1 y)))))))
(+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 1 y)))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (/.f64 -1 (-.f64 1 y))))
(+.f64 (log.f64 (/.f64 -1 (-.f64 1 y))) (log.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) (-.f64 1 y)) x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (neg.f64 (/.f64 1 (-.f64 1 y))))))
(fma.f64 -1 (/.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y))) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (/.f64 -1 (-.f64 1 y)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 (-.f64 1 y))) (log.f64 x)) (*.f64 (/.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) x) (-.f64 1 y)))
(+.f64 (log.f64 (/.f64 -1 (-.f64 1 y))) (-.f64 (log.f64 x) (*.f64 (/.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) x) (-.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) (-.f64 1 y)) x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 1 y)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 2) (pow.f64 (-.f64 1 y) 2)) (pow.f64 x 2))))))
(fma.f64 -1 (/.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y))) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (/.f64 -1 (-.f64 1 y)))) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 2) (/.f64 (*.f64 x x) (pow.f64 (-.f64 1 y) 2))))))
(-.f64 (+.f64 (log.f64 x) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 2) (/.f64 (*.f64 x x) (pow.f64 (-.f64 1 y) 2))) (log.f64 (/.f64 -1 (-.f64 1 y))))) (*.f64 (/.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) x) (-.f64 1 y)))
(+.f64 (log.f64 x) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 2) (/.f64 (*.f64 x x) (pow.f64 (-.f64 1 y) 2))) (log.f64 (/.f64 -1 (-.f64 1 y)))) (*.f64 (/.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) x) (-.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) (-.f64 1 y)) x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 1 y)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 2) (pow.f64 (-.f64 1 y) 2)) (pow.f64 x 2))) (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 3) (pow.f64 (-.f64 1 y) 3)) (pow.f64 x 3)))))))
(fma.f64 -1 (/.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y))) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (/.f64 -1 (-.f64 1 y)))) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 2) (/.f64 (*.f64 x x) (pow.f64 (-.f64 1 y) 2))) (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 3) (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 y) 3)))))))
(+.f64 (-.f64 (+.f64 (log.f64 (/.f64 -1 (-.f64 1 y))) (log.f64 x)) (*.f64 (/.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) x) (-.f64 1 y))) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 2) (/.f64 (*.f64 x x) (pow.f64 (-.f64 1 y) 2))) (/.f64 (*.f64 -1/3 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 3)) (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 y) 3)))))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 2) (/.f64 (*.f64 x x) (pow.f64 (-.f64 1 y) 2))) (log.f64 (/.f64 -1 (-.f64 1 y)))) (-.f64 (+.f64 (/.f64 (*.f64 -1/3 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 3)) (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 y) 3))) (log.f64 x)) (*.f64 (/.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) x) (-.f64 1 y))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 (-.f64 1 y))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 (-.f64 1 y))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log1p.f64 (neg.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) (-.f64 1 y)) x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 (-.f64 1 y)))))
(fma.f64 -1 (/.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 (-.f64 1 y)))))
(-.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log1p.f64 (neg.f64 y))) (*.f64 (/.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) x) (-.f64 1 y)))
(-.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 y) (+.f64 1 (/.f64 y (-.f64 1 y))))) x) (+.f64 (log.f64 (/.f64 -1 x)) (log1p.f64 (neg.f64 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) (-.f64 1 y)) x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (/.f64 1 (-.f64 1 y))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 2) (pow.f64 (-.f64 1 y) 2)) (pow.f64 x 2))))))
(fma.f64 -1 (/.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y))) (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 (-.f64 1 y)))) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 2) (/.f64 (*.f64 x x) (pow.f64 (-.f64 1 y) 2))))))
(-.f64 (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 2) (/.f64 (*.f64 x x) (pow.f64 (-.f64 1 y) 2))) (neg.f64 (log1p.f64 (neg.f64 y)))) (log.f64 (/.f64 -1 x))) (*.f64 (/.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) x) (-.f64 1 y)))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 2) (/.f64 (*.f64 x x) (pow.f64 (-.f64 1 y) 2))) (neg.f64 (log1p.f64 (neg.f64 y)))) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 (/.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) x) (-.f64 1 y))))
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(*.f64 (/.f64 (-.f64 y x) (neg.f64 (-.f64 1 (*.f64 y y)))) (neg.f64 (+.f64 y 1)))
(*.f64 (/.f64 (-.f64 y x) (neg.f64 (-.f64 1 (*.f64 y y)))) (+.f64 (neg.f64 y) -1))
(*.f64 (/.f64 (-.f64 y x) (+.f64 -1 (*.f64 y y))) (-.f64 -1 y))
(*.f64 (/.f64 (-.f64 y x) (neg.f64 (-.f64 1 (pow.f64 y 3)))) (neg.f64 (+.f64 1 (fma.f64 y y y))))
(*.f64 (/.f64 (-.f64 y x) (neg.f64 (-.f64 1 (pow.f64 y 3)))) (+.f64 -1 (neg.f64 (fma.f64 y y y))))
(*.f64 (/.f64 (-.f64 y x) (+.f64 -1 (pow.f64 y 3))) (-.f64 -1 (fma.f64 y y y)))
(*.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 (neg.f64 y) (neg.f64 y)))) (+.f64 y 1))
(*.f64 (+.f64 1 y) (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))))
(/.f64 (*.f64 (-.f64 y x) (+.f64 1 y)) (-.f64 1 (*.f64 y y)))
(*.f64 (/.f64 (-.f64 y x) (+.f64 1 (pow.f64 (neg.f64 y) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (neg.f64 y))))
(*.f64 (+.f64 1 (fma.f64 y y y)) (/.f64 (-.f64 y x) (-.f64 1 (pow.f64 y 3))))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 y) (pow.f64 (cbrt.f64 (-.f64 y x)) 2))) (cbrt.f64 (-.f64 y x)))
(/.f64 (-.f64 y x) (-.f64 1 y))
(*.f64 (/.f64 (+.f64 (neg.f64 y) x) (neg.f64 (-.f64 1 (*.f64 y y)))) (+.f64 y 1))
(*.f64 (+.f64 1 y) (/.f64 (+.f64 x (neg.f64 y)) (neg.f64 (-.f64 1 (*.f64 y y)))))
(*.f64 (+.f64 1 y) (/.f64 (-.f64 x y) (+.f64 -1 (*.f64 y y))))
(*.f64 (/.f64 (+.f64 (neg.f64 y) x) (neg.f64 (-.f64 1 (pow.f64 y 3)))) (+.f64 1 (fma.f64 y y y)))
(*.f64 (+.f64 1 (fma.f64 y y y)) (/.f64 (+.f64 x (neg.f64 y)) (neg.f64 (-.f64 1 (pow.f64 y 3)))))
(*.f64 (+.f64 1 (fma.f64 y y y)) (/.f64 (-.f64 x y) (+.f64 -1 (pow.f64 y 3))))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (/.f64 1 (-.f64 1 y))) (*.f64 (-.f64 y x) (+.f64 y x))) (-.f64 y x))
(*.f64 (-.f64 y x) (*.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (-.f64 y x)) (/.f64 (/.f64 1 (-.f64 1 y)) (+.f64 x y))))
(*.f64 (/.f64 (*.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) (+.f64 x y)) (+.f64 x y)) (/.f64 (-.f64 y x) (-.f64 y x)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (/.f64 1 (-.f64 1 y))) (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y x)))
(*.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 1 (-.f64 1 y)))) (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x y)))
(*.f64 (/.f64 (*.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) (+.f64 x y)) (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 1 y)) (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x (+.f64 y x)) (*.f64 x (+.f64 y x))))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 y x))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 1 y)) (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (-.f64 (*.f64 y (pow.f64 y 3)) (*.f64 (*.f64 x x) (*.f64 (+.f64 x y) (+.f64 x y))))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x y))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 1 y)) (-.f64 (pow.f64 y 4) (*.f64 x (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) x)))) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 1 y)) (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 y y) 3) (pow.f64 (*.f64 x (+.f64 y x)) 3))) (-.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x (+.f64 y x)) (*.f64 x (+.f64 y x)))) (*.f64 (*.f64 y y) (*.f64 x (+.f64 y x)))))
(/.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 y)) (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (-.f64 (+.f64 (*.f64 y (pow.f64 y 3)) (*.f64 (*.f64 x x) (*.f64 (+.f64 x y) (+.f64 x y)))) (*.f64 (*.f64 y y) (*.f64 x (+.f64 x y))))) (+.f64 (pow.f64 (*.f64 y y) 3) (pow.f64 (*.f64 x (+.f64 x y)) 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 1 y)) (/.f64 (+.f64 (pow.f64 y 6) (pow.f64 (*.f64 x (+.f64 x y)) 3)) (+.f64 (pow.f64 y 4) (*.f64 (*.f64 x (+.f64 x y)) (-.f64 (*.f64 x (+.f64 x y)) (*.f64 y y))))))
(*.f64 (/.f64 (/.f64 (-.f64 y x) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 (*.f64 y y)))) (sqrt.f64 (+.f64 y 1)))
(*.f64 (/.f64 (/.f64 (-.f64 y x) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 (*.f64 y y)))) (sqrt.f64 (+.f64 1 y)))
(*.f64 (/.f64 (/.f64 (-.f64 y x) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 (pow.f64 y 3)))) (sqrt.f64 (+.f64 1 (fma.f64 y y y))))
(*.f64 (/.f64 (-.f64 y x) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 y 3))) (sqrt.f64 (-.f64 1 y)))) (sqrt.f64 (+.f64 1 (fma.f64 y y y))))
(*.f64 (/.f64 (-.f64 y x) (*.f64 (sqrt.f64 (-.f64 1 y)) (sqrt.f64 (-.f64 1 (pow.f64 y 3))))) (sqrt.f64 (+.f64 1 (fma.f64 y y y))))
(*.f64 (/.f64 (/.f64 (-.f64 y x) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (-.f64 1 (*.f64 y y)))) (cbrt.f64 (+.f64 y 1)))
(*.f64 (/.f64 (-.f64 y x) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 y y))) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2))) (cbrt.f64 (+.f64 1 y)))
(*.f64 (/.f64 (-.f64 y x) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (cbrt.f64 (-.f64 1 (*.f64 y y))))) (cbrt.f64 (+.f64 1 y)))
(*.f64 (/.f64 (/.f64 (-.f64 y x) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 y 3)))) (cbrt.f64 (+.f64 1 (fma.f64 y y y))))
(*.f64 (/.f64 (-.f64 y x) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 y 3))) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 y y y))))
(*.f64 (/.f64 (-.f64 y x) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (cbrt.f64 (-.f64 1 (pow.f64 y 3))))) (cbrt.f64 (+.f64 1 (fma.f64 y y y))))
(*.f64 (/.f64 (-.f64 (*.f64 y (-.f64 1 y)) (*.f64 x (-.f64 1 y))) (*.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 (*.f64 y y)))) (*.f64 (+.f64 y 1) (+.f64 y 1)))
(*.f64 (/.f64 (*.f64 (-.f64 1 y) (-.f64 y x)) (*.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 (*.f64 y y)))) (*.f64 (+.f64 1 y) (+.f64 1 y)))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 1 y) (*.f64 (-.f64 1 y) (-.f64 y x))) (+.f64 1 y)) (-.f64 1 (*.f64 y y))) (-.f64 1 (*.f64 y y)))
(*.f64 (/.f64 (-.f64 (*.f64 y (-.f64 1 y)) (*.f64 x (-.f64 1 y))) (*.f64 (-.f64 1 (pow.f64 y 3)) (-.f64 1 (pow.f64 y 3)))) (*.f64 (+.f64 1 (fma.f64 y y y)) (+.f64 1 (fma.f64 y y y))))
(*.f64 (/.f64 (*.f64 (-.f64 1 y) (-.f64 y x)) (*.f64 (-.f64 1 (pow.f64 y 3)) (-.f64 1 (pow.f64 y 3)))) (*.f64 (+.f64 1 (fma.f64 y y y)) (+.f64 1 (fma.f64 y y y))))
(*.f64 (*.f64 (/.f64 (-.f64 1 y) (-.f64 1 (pow.f64 y 3))) (/.f64 (-.f64 y x) (-.f64 1 (pow.f64 y 3)))) (*.f64 (+.f64 1 (fma.f64 y y y)) (+.f64 1 (fma.f64 y y y))))
(*.f64 (/.f64 (-.f64 (*.f64 y (-.f64 1 y)) (*.f64 x (-.f64 1 y))) (*.f64 (-.f64 1 y) (-.f64 1 (*.f64 y y)))) (+.f64 y 1))
(/.f64 (*.f64 (*.f64 (-.f64 1 y) (-.f64 y x)) (+.f64 1 y)) (*.f64 (-.f64 1 y) (-.f64 1 (*.f64 y y))))
(*.f64 (+.f64 1 y) (*.f64 (/.f64 (-.f64 1 y) (-.f64 1 y)) (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y)))))
(*.f64 (/.f64 (-.f64 (*.f64 y (-.f64 1 y)) (*.f64 x (-.f64 1 y))) (*.f64 (-.f64 1 y) (-.f64 1 (pow.f64 y 3)))) (+.f64 1 (fma.f64 y y y)))
(/.f64 (*.f64 (*.f64 (-.f64 1 y) (-.f64 y x)) (+.f64 1 (fma.f64 y y y))) (*.f64 (-.f64 1 y) (-.f64 1 (pow.f64 y 3))))
(*.f64 (+.f64 1 (fma.f64 y y y)) (/.f64 (/.f64 (-.f64 1 y) (/.f64 (-.f64 1 (pow.f64 y 3)) (-.f64 y x))) (-.f64 1 y)))
(*.f64 (/.f64 (-.f64 (*.f64 y (-.f64 1 y)) (*.f64 x (-.f64 1 y))) (*.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 (pow.f64 y 3)))) (*.f64 (+.f64 y 1) (+.f64 1 (fma.f64 y y y))))
(*.f64 (/.f64 (*.f64 (-.f64 1 y) (-.f64 y x)) (*.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 (pow.f64 y 3)))) (*.f64 (+.f64 1 y) (+.f64 1 (fma.f64 y y y))))
(*.f64 (+.f64 1 y) (*.f64 (+.f64 1 (fma.f64 y y y)) (/.f64 (/.f64 (-.f64 1 y) (/.f64 (-.f64 1 (pow.f64 y 3)) (-.f64 y x))) (-.f64 1 (*.f64 y y)))))
(pow.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 1)
(/.f64 (-.f64 y x) (-.f64 1 y))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 2)
(/.f64 (-.f64 y x) (-.f64 1 y))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 3)
(/.f64 (-.f64 y x) (-.f64 1 y))
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 3) 1/3)
(/.f64 (-.f64 y x) (-.f64 1 y))
(pow.f64 (/.f64 (-.f64 1 y) (-.f64 y x)) -1)
(/.f64 (-.f64 y x) (-.f64 1 y))
(neg.f64 (/.f64 (-.f64 y x) (+.f64 -1 y)))
(*.f64 (+.f64 x (neg.f64 y)) (/.f64 1 (+.f64 -1 y)))
(/.f64 (-.f64 x y) (+.f64 -1 y))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 2))
(fabs.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))
(log.f64 (exp.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
(/.f64 (-.f64 y x) (-.f64 1 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))))
(/.f64 (-.f64 y x) (-.f64 1 y))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 3))
(/.f64 (-.f64 y x) (-.f64 1 y))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
(/.f64 (-.f64 y x) (-.f64 1 y))
(exp.f64 (log.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
(/.f64 (-.f64 y x) (-.f64 1 y))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
(/.f64 (-.f64 y x) (-.f64 1 y))

eval118.0ms (1.4%)

Compiler

Compiled 6367 to 4311 computations (32.3% saved)

prune92.0ms (1.1%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New23515250
Fresh000
Picked011
Done000
Total23516251
Error
0.1b
Counts
251 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
56.1b
(-.f64 1 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)))
51.3b
(-.f64 1 (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (+.f64 (*.f64 -6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) 3))))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) y)))))))
47.2b
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) (-.f64 (log.f64 (/.f64 -1 y)) (/.f64 (-.f64 1 x) (*.f64 y (+.f64 -1 x))))))
46.5b
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))
23.9b
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y))
17.5b
(-.f64 1 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) 2) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))))
17.1b
(-.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
16.1b
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 x) (-.f64 1 y))))
38.9b
(-.f64 1 (log1p.f64 (/.f64 y (-.f64 1 y))))
56.2b
(-.f64 1 (log1p.f64 (-.f64 (/.f64 x y) (-.f64 (/.f64 1 y) -1))))
20.0b
(-.f64 1 (log1p.f64 (*.f64 (/.f64 (-.f64 (*.f64 y (-.f64 1 y)) (*.f64 x (-.f64 1 y))) (*.f64 (-.f64 1 y) (-.f64 1 (*.f64 y y)))) (+.f64 y 1))))
17.6b
(-.f64 1 (log1p.f64 (*.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) (+.f64 y 1))))
36.6b
(-.f64 1 (log1p.f64 (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (/.f64 1 (-.f64 1 y))) (*.f64 (-.f64 y x) (+.f64 y x))) (-.f64 y x))))
16.6b
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (-.f64 1 y)) (-.f64 y x))))
23.0b
(-.f64 1 (log1p.f64 (neg.f64 x)))
64.0b
(-.f64 1 (log1p.f64 -1))
Compiler

Compiled 636 to 487 computations (23.4% saved)

localize44.0ms (0.5%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (neg.f64 x) (-.f64 1 y))
Compiler

Compiled 32 to 19 computations (40.6% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite57.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1816×add-sqr-sqrt
1800×*-un-lft-identity
1678×add-cube-cbrt
1660×add-cbrt-cube
190×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0917
119013
2261713
Stop Event
node limit
Counts
1 → 39
Calls
Call 1
Inputs
(/.f64 (neg.f64 x) (-.f64 1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (-.f64 1 y)) (/.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (neg.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 1 y))) (sqrt.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) 2) (cbrt.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 y))) (/.f64 x (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 y))) (/.f64 x (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (-.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 y))))))))

simplify62.0ms (0.7%)

Algorithm
egg-herbie
Rules
1130×distribute-lft-in
1070×associate-+r+
964×associate-+l+
676×associate-+l-
522×associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01231385
13261325
212551237
346011235
Stop Event
node limit
Counts
63 → 84
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x)))))
(/.f64 x y)
(+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)))
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))))
(/.f64 x y)
(+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)))
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))))
(-.f64 0 (/.f64 x (-.f64 1 y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 y)))) 1)
(-.f64 (/.f64 0 (-.f64 1 y)) (/.f64 x (-.f64 1 y)))
(*.f64 x (/.f64 1 (-.f64 1 y)))
(*.f64 x (/.f64 1 (neg.f64 (-.f64 1 y))))
(*.f64 1 (/.f64 x (-.f64 1 y)))
(*.f64 (/.f64 x (-.f64 1 y)) 1)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 y))))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1 y))) (sqrt.f64 (/.f64 x (-.f64 1 y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 y))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) 2) (cbrt.f64 (/.f64 x (-.f64 1 y))))
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(*.f64 (/.f64 1 (-.f64 1 y)) x)
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 y))) (/.f64 x (sqrt.f64 (-.f64 1 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 y))))
(*.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (+.f64 1 y))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 y))))
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 y))) (/.f64 x (sqrt.f64 (-.f64 1 y))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 y))))
(pow.f64 (/.f64 x (-.f64 1 y)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 y))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) 3)
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 y)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 1 y) x) -1)
(neg.f64 (/.f64 x (-.f64 1 y)))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 y)) 2))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 y)))))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 y)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 y))))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 y))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 y))))
Outputs
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(/.f64 (neg.f64 x) (-.f64 1 y))
(/.f64 x (+.f64 -1 y))
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(/.f64 (neg.f64 x) (-.f64 1 y))
(/.f64 x (+.f64 -1 y))
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(/.f64 (neg.f64 x) (-.f64 1 y))
(/.f64 x (+.f64 -1 y))
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(/.f64 (neg.f64 x) (-.f64 1 y))
(/.f64 x (+.f64 -1 y))
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(/.f64 (neg.f64 x) (-.f64 1 y))
(/.f64 x (+.f64 -1 y))
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(/.f64 (neg.f64 x) (-.f64 1 y))
(/.f64 x (+.f64 -1 y))
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(/.f64 (neg.f64 x) (-.f64 1 y))
(/.f64 x (+.f64 -1 y))
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(/.f64 (neg.f64 x) (-.f64 1 y))
(/.f64 x (+.f64 -1 y))
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(/.f64 (neg.f64 x) (-.f64 1 y))
(/.f64 x (+.f64 -1 y))
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(/.f64 (neg.f64 x) (-.f64 1 y))
(/.f64 x (+.f64 -1 y))
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(/.f64 (neg.f64 x) (-.f64 1 y))
(/.f64 x (+.f64 -1 y))
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(/.f64 (neg.f64 x) (-.f64 1 y))
(/.f64 x (+.f64 -1 y))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (+.f64 x (*.f64 x y)))
(*.f64 x (+.f64 -1 (neg.f64 y)))
(*.f64 x (-.f64 -1 y))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x))))
(fma.f64 -1 x (*.f64 -1 (+.f64 (*.f64 x (*.f64 y y)) (*.f64 x y))))
(-.f64 (neg.f64 (*.f64 x (fma.f64 y y y))) x)
(neg.f64 (fma.f64 x (fma.f64 y y y) x))
(*.f64 x (-.f64 -1 (fma.f64 y y y)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x)))))
(fma.f64 -1 (*.f64 x (pow.f64 y 3)) (fma.f64 -1 x (*.f64 -1 (+.f64 (*.f64 x (*.f64 y y)) (*.f64 x y)))))
(-.f64 (-.f64 (neg.f64 (*.f64 x (fma.f64 y y y))) x) (*.f64 x (pow.f64 y 3)))
(-.f64 (*.f64 (*.f64 x y) (-.f64 -1 y)) (fma.f64 x (pow.f64 y 3) x))
(*.f64 x (+.f64 (neg.f64 (pow.f64 y 3)) (-.f64 -1 (fma.f64 y y y))))
(/.f64 x y)
(+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))))
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))))
(+.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4)))
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 4))))
(+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4)))))
(/.f64 x y)
(+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))))
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))))
(+.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4)))
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 4))))
(+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4)))))
(-.f64 0 (/.f64 x (-.f64 1 y)))
(/.f64 (neg.f64 x) (-.f64 1 y))
(/.f64 x (+.f64 -1 y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 y)))) 1)
(/.f64 x (-.f64 1 y))
(-.f64 (/.f64 0 (-.f64 1 y)) (/.f64 x (-.f64 1 y)))
(/.f64 (neg.f64 x) (-.f64 1 y))
(/.f64 x (+.f64 -1 y))
(*.f64 x (/.f64 1 (-.f64 1 y)))
(/.f64 x (-.f64 1 y))
(*.f64 x (/.f64 1 (neg.f64 (-.f64 1 y))))
(/.f64 (neg.f64 x) (-.f64 1 y))
(/.f64 x (+.f64 -1 y))
(*.f64 1 (/.f64 x (-.f64 1 y)))
(/.f64 x (-.f64 1 y))
(*.f64 (/.f64 x (-.f64 1 y)) 1)
(/.f64 x (-.f64 1 y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 y))))
(/.f64 x (-.f64 1 y))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1 y))) (sqrt.f64 (/.f64 x (-.f64 1 y))))
(/.f64 x (-.f64 1 y))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 y))))
(/.f64 x (-.f64 1 y))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) 2))
(/.f64 x (-.f64 1 y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) 2) (cbrt.f64 (/.f64 x (-.f64 1 y))))
(/.f64 x (-.f64 1 y))
(*.f64 -1 (/.f64 x (-.f64 1 y)))
(/.f64 (neg.f64 x) (-.f64 1 y))
(/.f64 x (+.f64 -1 y))
(*.f64 (/.f64 1 (-.f64 1 y)) x)
(/.f64 x (-.f64 1 y))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 y))) (/.f64 x (sqrt.f64 (-.f64 1 y))))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))
(/.f64 x (*.f64 (sqrt.f64 (-.f64 1 y)) (sqrt.f64 (-.f64 1 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 y))))
(/.f64 (/.f64 x (cbrt.f64 (-.f64 1 y))) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2))
(/.f64 x (*.f64 (cbrt.f64 (-.f64 1 y)) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)))
(*.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (+.f64 1 y))
(/.f64 (fma.f64 x y x) (fma.f64 y (neg.f64 y) 1))
(/.f64 (fma.f64 x y x) (-.f64 1 (*.f64 y y)))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))
(/.f64 (fma.f64 x (fma.f64 y y y) x) (-.f64 1 (pow.f64 y 3)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 y)))
(/.f64 x (-.f64 1 y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 y))))
(/.f64 (/.f64 x (cbrt.f64 (-.f64 1 y))) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2))
(/.f64 x (*.f64 (cbrt.f64 (-.f64 1 y)) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 y)))
(/.f64 x (-.f64 1 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 y))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 y))) (/.f64 x (sqrt.f64 (-.f64 1 y))))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))
(/.f64 x (*.f64 (sqrt.f64 (-.f64 1 y)) (sqrt.f64 (-.f64 1 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 y))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 x (-.f64 1 y)))) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)))
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 y))) (/.f64 x (sqrt.f64 (-.f64 1 y))))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 y))) (/.f64 -1 (sqrt.f64 (-.f64 1 y))))
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))
(/.f64 (neg.f64 x) (*.f64 (sqrt.f64 (-.f64 1 y)) (sqrt.f64 (-.f64 1 y))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 y))))
(*.f64 (/.f64 x (cbrt.f64 (-.f64 1 y))) (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)))
(/.f64 (/.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (-.f64 1 y)))
(/.f64 (neg.f64 x) (*.f64 (cbrt.f64 (-.f64 1 y)) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)))
(/.f64 (/.f64 (neg.f64 x) (cbrt.f64 (-.f64 1 y))) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2))
(pow.f64 (/.f64 x (-.f64 1 y)) 1)
(/.f64 x (-.f64 1 y))
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 y))) 2)
(/.f64 x (-.f64 1 y))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) 3)
(/.f64 x (-.f64 1 y))
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 y)) 3) 1/3)
(/.f64 x (-.f64 1 y))
(pow.f64 (/.f64 (-.f64 1 y) x) -1)
(/.f64 x (-.f64 1 y))
(neg.f64 (/.f64 x (-.f64 1 y)))
(/.f64 (neg.f64 x) (-.f64 1 y))
(/.f64 x (+.f64 -1 y))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 y)) 2))
(/.f64 x (-.f64 1 y))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 y))))
(/.f64 x (-.f64 1 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 y)))))
(/.f64 x (-.f64 1 y))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 y)) 3))
(/.f64 x (-.f64 1 y))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 y))))
(/.f64 x (-.f64 1 y))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 y))))
(/.f64 x (-.f64 1 y))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 y))) 1))
(/.f64 x (-.f64 1 y))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 y))))
(/.f64 x (-.f64 1 y))

localize4.0ms (0.1%)

Compiler

Compiled 10 to 10 computations (0% saved)

localize46.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 y (-.f64 1 y))
2.6b
(log1p.f64 (/.f64 y (-.f64 1 y)))
Compiler

Compiled 26 to 18 computations (30.8% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(log1p.f64 (/.f64 y (-.f64 1 y)))
0.0ms
y
@0
(log1p.f64 (/.f64 y (-.f64 1 y)))
0.0ms
y
@-inf
(log1p.f64 (/.f64 y (-.f64 1 y)))
0.0ms
y
@inf
(/.f64 y (-.f64 1 y))
0.0ms
y
@0
(/.f64 y (-.f64 1 y))

rewrite67.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1728×add-sqr-sqrt
1712×*-un-lft-identity
1596×add-cube-cbrt
1578×add-cbrt-cube
162×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
116530
2210830
Stop Event
node limit
Counts
2 → 50
Calls
Call 1
Inputs
(log1p.f64 (/.f64 y (-.f64 1 y)))
(/.f64 y (-.f64 1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) (sqrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) 2) (cbrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (-.f64 1 y))) (sqrt.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (-.f64 1 y))) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 y))) 2) (cbrt.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 y))) (/.f64 y (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 y (cbrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 1 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (-.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (-.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 y) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (-.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (-.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (-.f64 1 y))))))))

simplify73.0ms (0.8%)

Algorithm
egg-herbie
Rules
878×associate-+l-
748×fma-def
738×+-commutative
734×unswap-sqr
722×associate-+r-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01691948
14351658
216771478
361101478
Stop Event
node limit
Counts
74 → 114
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 (*.f64 1/3 (pow.f64 y 3)) (+.f64 y (*.f64 1/2 (pow.f64 y 2))))
(+.f64 (*.f64 1/3 (pow.f64 y 3)) (+.f64 (*.f64 1/4 (pow.f64 y 4)) (+.f64 y (*.f64 1/2 (pow.f64 y 2)))))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 -1) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))))
(log.f64 (/.f64 -1 y))
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (log.f64 (/.f64 -1 y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))
y
(+.f64 y (pow.f64 y 2))
(+.f64 (pow.f64 y 3) (+.f64 y (pow.f64 y 2)))
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (pow.f64 y 2) (pow.f64 y 4))))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))) 1)
(*.f64 1 (log1p.f64 (/.f64 y (-.f64 1 y))))
(*.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) (sqrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) 2) (cbrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))
(pow.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) 2))
(log.f64 (+.f64 1 (/.f64 y (-.f64 1 y))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) 1))
(-.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 1)
(*.f64 y (/.f64 1 (-.f64 1 y)))
(*.f64 1 (/.f64 y (-.f64 1 y)))
(*.f64 (/.f64 y (-.f64 1 y)) 1)
(*.f64 (sqrt.f64 (/.f64 y (-.f64 1 y))) (sqrt.f64 (/.f64 y (-.f64 1 y))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (-.f64 1 y))))
(*.f64 (cbrt.f64 (/.f64 y (-.f64 1 y))) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 y))) 2) (cbrt.f64 (/.f64 y (-.f64 1 y))))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (-.f64 1 y))))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (-.f64 1 y))))
(*.f64 (/.f64 1 (-.f64 1 y)) y)
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 y))) (/.f64 y (sqrt.f64 (-.f64 1 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 y (cbrt.f64 (-.f64 1 y))))
(*.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (+.f64 y 1))
(*.f64 (/.f64 y (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (-.f64 1 y)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 1 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (-.f64 1 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 1 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 1 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (/.f64 y (-.f64 1 y))))
(pow.f64 (/.f64 y (-.f64 1 y)) 1)
(pow.f64 (sqrt.f64 (/.f64 y (-.f64 1 y))) 2)
(pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 y))) 3)
(pow.f64 (pow.f64 (/.f64 y (-.f64 1 y)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 1 y) y) -1)
(neg.f64 (/.f64 y (neg.f64 (-.f64 1 y))))
(sqrt.f64 (pow.f64 (/.f64 y (-.f64 1 y)) 2))
(log.f64 (exp.f64 (/.f64 y (-.f64 1 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 1 y)))))
(cbrt.f64 (pow.f64 (/.f64 y (-.f64 1 y)) 3))
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))
(exp.f64 (log.f64 (/.f64 y (-.f64 1 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 1 y))) 1))
(log1p.f64 (expm1.f64 (/.f64 y (-.f64 1 y))))
Outputs
y
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (*.f64 1/2 (*.f64 y y)))
(fma.f64 1/2 (*.f64 y y) y)
(fma.f64 y (*.f64 y 1/2) y)
(+.f64 (*.f64 1/3 (pow.f64 y 3)) (+.f64 y (*.f64 1/2 (pow.f64 y 2))))
(fma.f64 1/3 (pow.f64 y 3) (+.f64 y (*.f64 1/2 (*.f64 y y))))
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 1/2 (*.f64 y y) y))
(fma.f64 y (*.f64 y 1/2) (fma.f64 1/3 (pow.f64 y 3) y))
(+.f64 (*.f64 1/3 (pow.f64 y 3)) (+.f64 (*.f64 1/4 (pow.f64 y 4)) (+.f64 y (*.f64 1/2 (pow.f64 y 2)))))
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 1/4 (pow.f64 y 4) (+.f64 y (*.f64 1/2 (*.f64 y y)))))
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 1/4 (pow.f64 y 4) (fma.f64 1/2 (*.f64 y y) y)))
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 y (*.f64 y 1/2) (fma.f64 1/4 (pow.f64 y 4) y)))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))
(log.f64 (/.f64 -1 y))
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))))
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))))
(+.f64 (/.f64 1 y) (+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) (/.f64 1/2 (*.f64 y y))))
(+.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))
(+.f64 (/.f64 (/.f64 1/2 y) y) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 -1) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (neg.f64 (log.f64 y)) (+.f64 (log.f64 -1) (/.f64 1/3 (pow.f64 y 3))))))
(+.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 y)))) (/.f64 1/2 (*.f64 y y)))
(+.f64 (/.f64 (/.f64 1/2 y) y) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 y)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 (/.f64 1/2 y) y) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 y)))))
(log.f64 (/.f64 -1 y))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (log.f64 (/.f64 -1 y))))
(+.f64 (/.f64 1 y) (+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) (/.f64 1/2 (*.f64 y y))))
(+.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))
(+.f64 (/.f64 (/.f64 1/2 y) y) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (neg.f64 (log.f64 y)) (+.f64 (log.f64 -1) (/.f64 1/3 (pow.f64 y 3))))))
(+.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 y)))) (/.f64 1/2 (*.f64 y y)))
(+.f64 (/.f64 (/.f64 1/2 y) y) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 y)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 (/.f64 1/2 y) y) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 y)))))
y
(+.f64 y (pow.f64 y 2))
(fma.f64 y y y)
(+.f64 (pow.f64 y 3) (+.f64 y (pow.f64 y 2)))
(+.f64 (pow.f64 y 3) (fma.f64 y y y))
(fma.f64 y (fma.f64 y y y) y)
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (pow.f64 y 2) (pow.f64 y 4))))
(+.f64 (pow.f64 y 3) (+.f64 (fma.f64 y y y) (pow.f64 y 4)))
(+.f64 (fma.f64 y y (pow.f64 y 4)) (+.f64 y (pow.f64 y 3)))
(*.f64 (fma.f64 y y 1) (fma.f64 y y y))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(+.f64 (neg.f64 (/.f64 1 y)) -1)
(+.f64 -1 (/.f64 -1 y))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))))
(-.f64 (/.f64 -1 y) (+.f64 1 (/.f64 (/.f64 1 y) y)))
(+.f64 -1 (+.f64 (/.f64 -1 y) (/.f64 (/.f64 -1 y) y)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(-.f64 (/.f64 -1 y) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (/.f64 1 y) y))))
(+.f64 (+.f64 -1 (+.f64 (/.f64 -1 y) (/.f64 (/.f64 -1 y) y))) (/.f64 -1 (pow.f64 y 3)))
(+.f64 -1 (+.f64 (/.f64 -1 y) (-.f64 (/.f64 (/.f64 -1 y) y) (/.f64 1 (pow.f64 y 3)))))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(+.f64 (neg.f64 (/.f64 1 y)) -1)
(+.f64 -1 (/.f64 -1 y))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))))
(-.f64 (/.f64 -1 y) (+.f64 1 (/.f64 (/.f64 1 y) y)))
(+.f64 -1 (+.f64 (/.f64 -1 y) (/.f64 (/.f64 -1 y) y)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(-.f64 (/.f64 -1 y) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (/.f64 1 y) y))))
(+.f64 (+.f64 -1 (+.f64 (/.f64 -1 y) (/.f64 (/.f64 -1 y) y))) (/.f64 -1 (pow.f64 y 3)))
(+.f64 -1 (+.f64 (/.f64 -1 y) (-.f64 (/.f64 (/.f64 -1 y) y) (/.f64 1 (pow.f64 y 3)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))) 1)
(log1p.f64 (/.f64 y (-.f64 1 y)))
(*.f64 1 (log1p.f64 (/.f64 y (-.f64 1 y))))
(log1p.f64 (/.f64 y (-.f64 1 y)))
(*.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) 1)
(log1p.f64 (/.f64 y (-.f64 1 y)))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) (sqrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))
(log1p.f64 (/.f64 y (-.f64 1 y)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) 2))
(log1p.f64 (/.f64 y (-.f64 1 y)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) 2) (cbrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))
(log1p.f64 (/.f64 y (-.f64 1 y)))
(pow.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) 1)
(log1p.f64 (/.f64 y (-.f64 1 y)))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) 2)
(log1p.f64 (/.f64 y (-.f64 1 y)))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) 3)
(log1p.f64 (/.f64 y (-.f64 1 y)))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) 3) 1/3)
(log1p.f64 (/.f64 y (-.f64 1 y)))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) 2))
(log1p.f64 (/.f64 y (-.f64 1 y)))
(log.f64 (+.f64 1 (/.f64 y (-.f64 1 y))))
(log1p.f64 (/.f64 y (-.f64 1 y)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 y (-.f64 1 y))) 3))
(log1p.f64 (/.f64 y (-.f64 1 y)))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))
(log1p.f64 (/.f64 y (-.f64 1 y)))
(exp.f64 (log.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))))
(log1p.f64 (/.f64 y (-.f64 1 y)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) 1))
(log1p.f64 (/.f64 y (-.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 y (-.f64 1 y))) 1)
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(*.f64 y (/.f64 1 (-.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(*.f64 1 (/.f64 y (-.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(*.f64 (/.f64 y (-.f64 1 y)) 1)
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(*.f64 (sqrt.f64 (/.f64 y (-.f64 1 y))) (sqrt.f64 (/.f64 y (-.f64 1 y))))
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (-.f64 1 y))))
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(*.f64 (cbrt.f64 (/.f64 y (-.f64 1 y))) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 y))) 2))
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 y))) 2) (cbrt.f64 (/.f64 y (-.f64 1 y))))
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (-.f64 1 y))))
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (-.f64 1 y))))
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(*.f64 (/.f64 1 (-.f64 1 y)) y)
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 y))) (/.f64 y (sqrt.f64 (-.f64 1 y))))
(/.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 y (cbrt.f64 (-.f64 1 y))))
(/.f64 (/.f64 y (cbrt.f64 (-.f64 1 y))) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2))
(/.f64 y (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (cbrt.f64 (-.f64 1 y))))
(*.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (+.f64 y 1))
(/.f64 (fma.f64 y y y) (-.f64 1 (*.f64 y y)))
(*.f64 (/.f64 y (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))
(/.f64 (fma.f64 y (fma.f64 y y y) y) (-.f64 1 (pow.f64 y 3)))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (-.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 1 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 y (cbrt.f64 (-.f64 1 y))))
(/.f64 (/.f64 y (cbrt.f64 (-.f64 1 y))) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2))
(/.f64 y (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (cbrt.f64 (-.f64 1 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (-.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 1 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 1 y))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 y))) (/.f64 y (sqrt.f64 (-.f64 1 y))))
(/.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (/.f64 y (-.f64 1 y))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (/.f64 y (-.f64 1 y)))) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2))
(*.f64 (cbrt.f64 (/.f64 y (-.f64 1 y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (cbrt.f64 (/.f64 y (-.f64 1 y)))))
(pow.f64 (/.f64 y (-.f64 1 y)) 1)
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(pow.f64 (sqrt.f64 (/.f64 y (-.f64 1 y))) 2)
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 y))) 3)
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(pow.f64 (pow.f64 (/.f64 y (-.f64 1 y)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(pow.f64 (/.f64 (-.f64 1 y) y) -1)
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(neg.f64 (/.f64 y (neg.f64 (-.f64 1 y))))
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(sqrt.f64 (pow.f64 (/.f64 y (-.f64 1 y)) 2))
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(log.f64 (exp.f64 (/.f64 y (-.f64 1 y))))
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 1 y)))))
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(cbrt.f64 (pow.f64 (/.f64 y (-.f64 1 y)) 3))
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(exp.f64 (log.f64 (/.f64 y (-.f64 1 y))))
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 1 y))) 1))
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(log1p.f64 (expm1.f64 (/.f64 y (-.f64 1 y))))
(+.f64 1 (-.f64 (/.f64 y (-.f64 1 y)) 1))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))

localize26.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) (+.f64 y 1))
3.3b
(log1p.f64 (*.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) (+.f64 y 1)))
12.8b
(/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y)))
Compiler

Compiled 71 to 34 computations (52.1% saved)

series10.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y)))
1.0ms
x
@-inf
(log1p.f64 (*.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) (+.f64 y 1)))
1.0ms
x
@0
(log1p.f64 (*.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) (+.f64 y 1)))
1.0ms
x
@inf
(log1p.f64 (*.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) (+.f64 y 1)))
1.0ms
y
@inf
(log1p.f64 (*.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) (+.f64 y 1)))

rewrite100.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1888×associate-/l*
1250×associate-/r/
316×add-sqr-sqrt
310×*-un-lft-identity
308×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013103
129767
2444867
Stop Event
node limit
Counts
3 → 188
Calls
Call 1
Inputs
(/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y)))
(log1p.f64 (*.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) (+.f64 y 1)))
(*.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) (+.f64 y 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (neg.f64 (/.f64 x (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 x (-.f64 1 (*.f64 y y)))) (/.f64 y (-.f64 1 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 x (-.f64 1 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y x) (/.f64 -1 (fma.f64 y y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 -1 (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y)))) (sqrt.f64 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simplify119.0ms (1.4%)

Algorithm
egg-herbie
Rules
902×associate-/l*
860×associate-*r*
856×distribute-lft-in
796×associate-/r*
756×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069815054
1230914088
Stop Event
node limit
Counts
260 → 412
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 y (*.f64 -1 x))
(+.f64 y (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))))
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))))
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y))
(-.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y))
(-.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(/.f64 y (-.f64 1 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (/.f64 x (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 x (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 x (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(*.f64 -1 (/.f64 x (-.f64 1 (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 x (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 x (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 x (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(*.f64 -1 (/.f64 x (-.f64 1 (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 x (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 x (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 x (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(log.f64 (+.f64 1 (*.f64 -1 x)))
(+.f64 y (log.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 y (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x)))) 1))) (log.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 y (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x)))) 1))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (+.f64 8 (*.f64 -6 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x))))))) (log.f64 (+.f64 1 (*.f64 -1 x))))))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
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(*.f64 (/.f64 (-.f64 (*.f64 y (-.f64 1 (*.f64 y y))) (*.f64 (-.f64 1 (*.f64 y y)) x)) (*.f64 (-.f64 1 (pow.f64 y 4)) (-.f64 1 (*.f64 y y)))) (+.f64 1 (*.f64 y y)))
(*.f64 (/.f64 (-.f64 (*.f64 y (-.f64 1 (*.f64 y y))) (*.f64 (-.f64 1 (*.f64 y y)) x)) (*.f64 (-.f64 1 (pow.f64 y 6)) (-.f64 1 (*.f64 y y)))) (+.f64 1 (+.f64 (*.f64 y y) (pow.f64 y 4))))
(*.f64 (/.f64 (-.f64 (*.f64 y (-.f64 1 (*.f64 y y))) (*.f64 (-.f64 1 (*.f64 y y)) x)) (*.f64 (-.f64 1 (pow.f64 y 4)) (-.f64 1 (pow.f64 y 6)))) (*.f64 (+.f64 1 (*.f64 y y)) (+.f64 1 (+.f64 (*.f64 y y) (pow.f64 y 4)))))
(*.f64 (/.f64 (-.f64 (*.f64 y (-.f64 1 (*.f64 y y))) (*.f64 (-.f64 1 (*.f64 y y)) x)) (*.f64 (-.f64 1 (pow.f64 y 6)) (-.f64 1 (pow.f64 y 4)))) (*.f64 (+.f64 1 (+.f64 (*.f64 y y) (pow.f64 y 4))) (+.f64 1 (*.f64 y y))))
(pow.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) 3) 1/3)
(pow.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 y x)) -1)
(neg.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 (-.f64 1 (*.f64 y y)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y)))))
(exp.f64 (log.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))) 1)
(*.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
(*.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) 2) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))))
(pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 2))
(log.f64 (+.f64 1 (/.f64 (-.f64 y x) (-.f64 1 y))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) 1))
(+.f64 1 (-.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 1))
(+.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) (/.f64 (-.f64 y x) (/.f64 (-.f64 1 (*.f64 y y)) y)))
(+.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) (*.f64 (/.f64 (-.f64 y x) (/.f64 (-.f64 1 (*.f64 y y)) y)) 1))
(+.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 0)
(+.f64 (/.f64 (-.f64 y x) (/.f64 (-.f64 1 (*.f64 y y)) y)) (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))))
(+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (+.f64 (neg.f64 (/.f64 x (-.f64 1 (*.f64 y y)))) (/.f64 (-.f64 y x) (/.f64 (-.f64 1 (*.f64 y y)) y))))
(+.f64 (+.f64 1 (/.f64 (-.f64 y x) (/.f64 (-.f64 1 (*.f64 y y)) y))) (-.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) 1))
(+.f64 (+.f64 (/.f64 (-.f64 y x) (/.f64 (-.f64 1 (*.f64 y y)) y)) (/.f64 y (-.f64 1 (*.f64 y y)))) (neg.f64 (/.f64 x (-.f64 1 (*.f64 y y)))))
(+.f64 (*.f64 (/.f64 (-.f64 y x) (/.f64 (-.f64 1 (*.f64 y y)) y)) 1) (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))))
(+.f64 (+.f64 (*.f64 (/.f64 (-.f64 y x) (/.f64 (-.f64 1 (*.f64 y y)) y)) 1) (/.f64 y (-.f64 1 (*.f64 y y)))) (neg.f64 (/.f64 x (-.f64 1 (*.f64 y y)))))
(-.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (-.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (/.f64 (-.f64 y x) (/.f64 (-.f64 1 (*.f64 y y)) y))))
(-.f64 (+.f64 1 (/.f64 (-.f64 y x) (-.f64 1 y))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))))) (-.f64 1 (/.f64 (-.f64 y x) (/.f64 (-.f64 1 (*.f64 y y)) y))))
(-.f64 (+.f64 (/.f64 (-.f64 y x) (/.f64 (-.f64 1 (*.f64 y y)) y)) (/.f64 y (-.f64 1 (*.f64 y y)))) (/.f64 x (-.f64 1 (*.f64 y y))))
(-.f64 (+.f64 (*.f64 (/.f64 (-.f64 y x) (/.f64 (-.f64 1 (*.f64 y y)) y)) 1) (/.f64 y (-.f64 1 (*.f64 y y)))) (/.f64 x (-.f64 1 (*.f64 y y))))
(-.f64 (+.f64 (/.f64 (-.f64 y x) (/.f64 (-.f64 1 (*.f64 y y)) y)) (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y)))))) 1)
(-.f64 (+.f64 (*.f64 (/.f64 (-.f64 y x) (/.f64 (-.f64 1 (*.f64 y y)) y)) 1) (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y)))))) 1)
(/.f64 (-.f64 y x) (-.f64 1 y))
(/.f64 (-.f64 y x) (/.f64 (-.f64 1 y) 1))
(/.f64 (-.f64 y x) (/.f64 (*.f64 (-.f64 1 (*.f64 y y)) (+.f64 y -1)) (fma.f64 y y -1)))
(/.f64 (-.f64 y x) (/.f64 (*.f64 (-.f64 1 (*.f64 y y)) (fma.f64 y y (-.f64 1 y))) (+.f64 1 (pow.f64 y 3))))
(/.f64 1 (/.f64 1 (/.f64 (-.f64 y x) (-.f64 1 y))))
(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 y x)))
(/.f64 1 (/.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 y x)) (+.f64 y 1)))
(/.f64 1 (/.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 y x)) (+.f64 y -1)) (fma.f64 y y -1)))
(/.f64 1 (/.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 y x)) (fma.f64 y y (-.f64 1 y))) (+.f64 1 (pow.f64 y 3))))
(/.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) (/.f64 1 (+.f64 y 1)))
(/.f64 (+.f64 y 1) (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 y x)))
(/.f64 (+.f64 y 1) (/.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 y x)) (+.f64 y -1)) (+.f64 y -1)))
(/.f64 (sqrt.f64 (+.f64 y 1)) (/.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 y x)) (sqrt.f64 (+.f64 y 1))))
(/.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (-.f64 1 y) (sqrt.f64 (-.f64 y x))))
(/.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 (sqrt.f64 (-.f64 y x)) (+.f64 y 1))))
(/.f64 (cbrt.f64 (+.f64 y 1)) (/.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 y x)) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2) (/.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 y x)) (cbrt.f64 (+.f64 y 1))))
(/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 (-.f64 1 y) (pow.f64 (cbrt.f64 (-.f64 y x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (/.f64 (-.f64 1 y) (cbrt.f64 (-.f64 y x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 (cbrt.f64 (-.f64 y x)) (+.f64 y 1))))
(/.f64 (*.f64 (-.f64 y x) (+.f64 y 1)) (-.f64 1 (*.f64 y y)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (-.f64 1 y) (/.f64 1 (+.f64 y x))))
(/.f64 (+.f64 1 (pow.f64 y 3)) (*.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 y x)) (fma.f64 y y (-.f64 1 y))))
(/.f64 (+.f64 1 (pow.f64 y 3)) (/.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 y x)) (/.f64 1 (fma.f64 y y (-.f64 1 y)))))
(/.f64 (+.f64 1 (pow.f64 y 3)) (/.f64 (fma.f64 y y (-.f64 1 y)) (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y)))))
(/.f64 (+.f64 1 (pow.f64 y 3)) (/.f64 (*.f64 (fma.f64 y y (-.f64 1 y)) (-.f64 1 (*.f64 y y))) (-.f64 y x)))
(/.f64 (+.f64 1 (pow.f64 y 3)) (/.f64 (*.f64 (fma.f64 y y (-.f64 1 y)) (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 y x))) 1))
(/.f64 (+.f64 1 (pow.f64 y 3)) (/.f64 (*.f64 (fma.f64 y y (-.f64 1 y)) (fma.f64 y y -1)) (+.f64 (neg.f64 y) x)))
(/.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 (-.f64 1 y) (/.f64 1 (fma.f64 y y (*.f64 x (+.f64 y x))))))
(/.f64 (+.f64 (neg.f64 y) x) (+.f64 y -1))
(/.f64 (+.f64 (neg.f64 y) x) (/.f64 (*.f64 (fma.f64 y y -1) (+.f64 y -1)) (fma.f64 y y -1)))
(/.f64 (+.f64 (neg.f64 y) x) (/.f64 (*.f64 (fma.f64 y y -1) (fma.f64 y y (-.f64 1 y))) (+.f64 1 (pow.f64 y 3))))
(/.f64 (fma.f64 y y -1) (*.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 y x)) (+.f64 y -1)))
(/.f64 (fma.f64 y y -1) (/.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 y x)) (/.f64 1 (+.f64 y -1))))
(/.f64 (fma.f64 y y -1) (/.f64 (+.f64 y -1) (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y)))))
(/.f64 (fma.f64 y y -1) (/.f64 (*.f64 (+.f64 y -1) (-.f64 1 (*.f64 y y))) (-.f64 y x)))
(/.f64 (fma.f64 y y -1) (/.f64 (*.f64 (+.f64 y -1) (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 y x))) 1))
(/.f64 (fma.f64 y y -1) (/.f64 (*.f64 (+.f64 y -1) (fma.f64 y y -1)) (+.f64 (neg.f64 y) x)))
(/.f64 (sqrt.f64 (fma.f64 y y -1)) (/.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 y x)) (+.f64 y -1)) (sqrt.f64 (fma.f64 y y -1))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 y x) (+.f64 y 1))) (/.f64 (-.f64 1 (*.f64 y y)) (sqrt.f64 (*.f64 (-.f64 y x) (+.f64 y 1)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 y 3))) (/.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 y x)) (fma.f64 y y (-.f64 1 y))) (sqrt.f64 (+.f64 1 (pow.f64 y 3)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 y y -1)) (cbrt.f64 (fma.f64 y y -1))) (/.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 y x)) (+.f64 y -1)) (cbrt.f64 (fma.f64 y y -1))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (-.f64 y x) (+.f64 y 1))) (cbrt.f64 (*.f64 (-.f64 y x) (+.f64 y 1)))) (/.f64 (-.f64 1 (*.f64 y y)) (cbrt.f64 (*.f64 (-.f64 y x) (+.f64 y 1)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 y 3))) (cbrt.f64 (+.f64 1 (pow.f64 y 3)))) (/.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 y x)) (fma.f64 y y (-.f64 1 y))) (cbrt.f64 (+.f64 1 (pow.f64 y 3)))))
(/.f64 (*.f64 (-.f64 y x) (sqrt.f64 (+.f64 y 1))) (/.f64 (-.f64 1 (*.f64 y y)) (sqrt.f64 (+.f64 y 1))))
(/.f64 (*.f64 (-.f64 y x) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (-.f64 1 (*.f64 y y)) (cbrt.f64 (+.f64 y 1))))
(/.f64 (*.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) (fma.f64 y y -1)) (+.f64 y -1))
(/.f64 (*.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y)))
(/.f64 (*.f64 (+.f64 y 1) (+.f64 (neg.f64 y) x)) (fma.f64 y y -1))
(/.f64 (*.f64 (-.f64 y x) (fma.f64 y y -1)) (*.f64 (-.f64 1 (*.f64 y y)) (+.f64 y -1)))
(/.f64 (*.f64 (-.f64 y x) (+.f64 1 (pow.f64 y 3))) (*.f64 (-.f64 1 (*.f64 y y)) (fma.f64 y y (-.f64 1 y))))
(/.f64 (*.f64 (+.f64 (neg.f64 y) x) (+.f64 y 1)) (fma.f64 y y -1))
(/.f64 (*.f64 (fma.f64 y y -1) (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y)))) (+.f64 y -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 y 3)) (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y)))) (fma.f64 y y (-.f64 1 y)))
(/.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 y 1)) (sqrt.f64 (-.f64 1 (*.f64 y y)))) (sqrt.f64 (-.f64 1 (*.f64 y y))))
(/.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 y 1)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y y))) 2)) (cbrt.f64 (-.f64 1 (*.f64 y y))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (+.f64 y 1))) (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (+.f64 y 1)))))
(/.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (/.f64 (-.f64 1 y) (-.f64 (sqrt.f64 y) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 y x) (/.f64 (-.f64 1 (*.f64 y y)) y)) (/.f64 (-.f64 y x) (/.f64 (-.f64 1 (*.f64 y y)) y))) (pow.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) 2)) (-.f64 (/.f64 (-.f64 y x) (/.f64 (-.f64 1 (*.f64 y y)) y)) (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) 3) (pow.f64 (/.f64 (-.f64 y x) (/.f64 (-.f64 1 (*.f64 y y)) y)) 3)) (+.f64 (*.f64 (/.f64 (-.f64 y x) (/.f64 (-.f64 1 (*.f64 y y)) y)) (/.f64 (-.f64 y x) (/.f64 (-.f64 1 (*.f64 y y)) y))) (-.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) 2) (*.f64 (/.f64 (-.f64 y x) (/.f64 (-.f64 1 (*.f64 y y)) y)) (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y)))))))
(/.f64 (*.f64 (+.f64 (neg.f64 y) x) (+.f64 1 (pow.f64 y 3))) (*.f64 (fma.f64 y y -1) (fma.f64 y y (-.f64 1 y))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 y 3)) (-.f64 y x)) (*.f64 (fma.f64 y y (-.f64 1 y)) (-.f64 1 (*.f64 y y))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 y 3)) 1) (*.f64 (fma.f64 y y (-.f64 1 y)) (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 y x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 y 3)) (+.f64 (neg.f64 y) x)) (*.f64 (fma.f64 y y (-.f64 1 y)) (fma.f64 y y -1)))
(/.f64 (neg.f64 (*.f64 (-.f64 y x) (+.f64 y 1))) (fma.f64 y y -1))
(/.f64 (*.f64 (+.f64 (neg.f64 y) x) (fma.f64 y y -1)) (*.f64 (fma.f64 y y -1) (+.f64 y -1)))
(/.f64 (*.f64 (fma.f64 y y -1) (-.f64 y x)) (*.f64 (+.f64 y -1) (-.f64 1 (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 y y -1) 1) (*.f64 (+.f64 y -1) (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 y x))))
(/.f64 (*.f64 (fma.f64 y y -1) (+.f64 (neg.f64 y) x)) (*.f64 (+.f64 y -1) (fma.f64 y y -1)))
(pow.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) 3) (pow.f64 (+.f64 y 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y 1) 3) (pow.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
(exp.f64 (log.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
(fma.f64 y (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))))
(fma.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) y (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 y (*.f64 -1 x))
(-.f64 y x)
(+.f64 y (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))))
(+.f64 (-.f64 y x) (neg.f64 (*.f64 x (*.f64 y y))))
(+.f64 y (*.f64 x (-.f64 -1 (*.f64 y y))))
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))))
(+.f64 (+.f64 (-.f64 y x) (neg.f64 (*.f64 x (*.f64 y y)))) (pow.f64 y 3))
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(/.f64 (*.f64 (+.f64 (neg.f64 y) x) (fma.f64 y y -1)) (*.f64 (fma.f64 y y -1) (+.f64 y -1)))
(*.f64 (/.f64 (fma.f64 y y -1) (+.f64 -1 y)) (/.f64 (+.f64 x (neg.f64 y)) (fma.f64 y y -1)))
(*.f64 (fma.f64 y y -1) (/.f64 (+.f64 x (neg.f64 y)) (*.f64 (fma.f64 y y -1) (+.f64 -1 y))))
(/.f64 (*.f64 (fma.f64 y y -1) (-.f64 y x)) (*.f64 (+.f64 y -1) (-.f64 1 (*.f64 y y))))
(*.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) (/.f64 (fma.f64 y y -1) (+.f64 -1 y)))
(*.f64 (fma.f64 y y -1) (/.f64 (-.f64 y x) (*.f64 (-.f64 1 (*.f64 y y)) (+.f64 -1 y))))
(/.f64 (*.f64 (fma.f64 y y -1) 1) (*.f64 (+.f64 y -1) (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 y x))))
(*.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) (/.f64 (fma.f64 y y -1) (+.f64 -1 y)))
(*.f64 (fma.f64 y y -1) (/.f64 (-.f64 y x) (*.f64 (-.f64 1 (*.f64 y y)) (+.f64 -1 y))))
(/.f64 (*.f64 (fma.f64 y y -1) (+.f64 (neg.f64 y) x)) (*.f64 (+.f64 y -1) (fma.f64 y y -1)))
(*.f64 (/.f64 (fma.f64 y y -1) (+.f64 -1 y)) (/.f64 (+.f64 x (neg.f64 y)) (fma.f64 y y -1)))
(*.f64 (fma.f64 y y -1) (/.f64 (+.f64 x (neg.f64 y)) (*.f64 (fma.f64 y y -1) (+.f64 -1 y))))
(pow.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 1)
(+.f64 1 (+.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) -1))
(/.f64 (-.f64 y x) (-.f64 1 y))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 3)
(+.f64 1 (+.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) -1))
(/.f64 (-.f64 y x) (-.f64 1 y))
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 3) 1/3)
(+.f64 1 (+.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) -1))
(/.f64 (-.f64 y x) (-.f64 1 y))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
(+.f64 1 (+.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) -1))
(/.f64 (-.f64 y x) (-.f64 1 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))))
(+.f64 1 (+.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) -1))
(/.f64 (-.f64 y x) (-.f64 1 y))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) 3))
(+.f64 1 (+.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) -1))
(/.f64 (-.f64 y x) (-.f64 1 y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) 3) (pow.f64 (+.f64 y 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y 1) 3) (pow.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y 1) 3) (pow.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
(+.f64 1 (+.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) -1))
(/.f64 (-.f64 y x) (-.f64 1 y))
(exp.f64 (log.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
(+.f64 1 (+.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) -1))
(/.f64 (-.f64 y x) (-.f64 1 y))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) (-.f64 1 y))) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) -1))
(/.f64 (-.f64 y x) (-.f64 1 y))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
(+.f64 1 (+.f64 (/.f64 (-.f64 y x) (-.f64 1 y)) -1))
(/.f64 (-.f64 y x) (-.f64 1 y))
(fma.f64 y (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))))
(fma.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) y (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))))
(*.f64 (/.f64 (+.f64 y 1) (-.f64 1 (*.f64 y y))) (-.f64 y x))
(fma.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) y (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))))
(*.f64 (/.f64 (+.f64 y 1) (-.f64 1 (*.f64 y y))) (-.f64 y x))

localize18.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
Compiler

Compiled 31 to 20 computations (35.5% saved)

series66.0ms (0.8%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
43.0ms
y
@0
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
12.0ms
y
@-inf
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
8.0ms
y
@inf
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
2.0ms
x
@-inf
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
1.0ms
x
@inf
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))

rewrite80.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
934×*-commutative
778×associate-*r/
614×distribute-lft-in
604×associate-*l/
596×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
121017
2272217
Stop Event
node limit
Counts
1 → 107
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x -2))) 2) (cbrt.f64 (log1p.f64 (+.f64 x -2))) (neg.f64 (log.f64 y)))))))

simplify109.0ms (1.3%)

Algorithm
egg-herbie
Rules
1300×associate-*r/
1094×+-commutative
970×associate-*l/
792×associate-+l-
790×associate-+r-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03418199
19437665
242437629
Stop Event
node limit
Counts
131 → 233
Calls
Call 1
Inputs
(-.f64 (log.f64 -1) (log.f64 y))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 x)) (log.f64 y))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (log.f64 -1) (*.f64 -1 x))) (log.f64 y))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))) (log.f64 y))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 y))
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(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2)) (pow.f64 (log.f64 y) 2)) 1) (neg.f64 (log.f64 (*.f64 (+.f64 -1 x) y))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 3) (pow.f64 (log.f64 y) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 -1 x) y))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (pow.f64 (log.f64 y) 2))) (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y)))) (sqrt.f64 (log.f64 (*.f64 (+.f64 -1 x) y))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 3) (pow.f64 (log.f64 y) 3))) (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 -1 x) y))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (pow.f64 (log.f64 y) 2))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 -1 x) y))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 3) (pow.f64 (log.f64 y) 3))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 -1 x) y))))))
(/.f64 (*.f64 (-.f64 (*.f64 (log1p.f64 (+.f64 x -2)) (pow.f64 (log1p.f64 (+.f64 x -2)) 3)) (*.f64 (log.f64 y) (pow.f64 (log.f64 y) 3))) (/.f64 1 (log.f64 (*.f64 (+.f64 -1 x) y)))) (+.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (log1p.f64 (+.f64 x -2)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) 3) (pow.f64 (pow.f64 (log.f64 y) 2) 3)) (/.f64 1 (log.f64 (*.f64 (+.f64 -1 x) y)))) (+.f64 (*.f64 (log1p.f64 (+.f64 x -2)) (pow.f64 (log1p.f64 (+.f64 x -2)) 3)) (*.f64 (pow.f64 (log.f64 y) 2) (+.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (log1p.f64 (+.f64 x -2)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 3) (pow.f64 (log1p.f64 (+.f64 x -2)) 3)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (log.f64 y) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 -1 x) y)))))) (+.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 3) (pow.f64 (log.f64 y) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 3) 3) (pow.f64 (pow.f64 (log.f64 y) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 -1 x) y)))))) (+.f64 (*.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 3) (pow.f64 (log1p.f64 (+.f64 x -2)) 3)) (*.f64 (pow.f64 (log.f64 y) 3) (+.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 3) (pow.f64 (log.f64 y) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (pow.f64 (log.f64 y) 2)) 1) (log.f64 (*.f64 (+.f64 -1 x) y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (pow.f64 (log.f64 y) 2)) (sqrt.f64 (log.f64 (*.f64 (+.f64 -1 x) y)))) (sqrt.f64 (log.f64 (*.f64 (+.f64 -1 x) y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (pow.f64 (log.f64 y) 2)) (*.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 -1 x) y))) (cbrt.f64 (log.f64 (*.f64 (+.f64 -1 x) y))))) (cbrt.f64 (log.f64 (*.f64 (+.f64 -1 x) y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 3) (pow.f64 (log.f64 y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 -1 x) y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 3) (pow.f64 (log.f64 y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 -1 x) y)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 -1 x) y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 3) (pow.f64 (log.f64 y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 -1 x) y))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 -1 x) y))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 -1 x) y))))))
(pow.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 1)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 2)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (pow.f64 (log.f64 y) 2)) (neg.f64 (log.f64 (*.f64 (+.f64 -1 x) y)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 3) (pow.f64 (log.f64 y) 3)) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 -1 x) y)))))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 2))
(log.f64 (/.f64 (+.f64 -1 x) y))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 -1 x) y) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))
(log1p.f64 (-.f64 (/.f64 (+.f64 -1 x) y) 1))
(fma.f64 1 (log1p.f64 (+.f64 x -2)) (neg.f64 (log.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 (+.f64 x -2))) (sqrt.f64 (log1p.f64 (+.f64 x -2))) (neg.f64 (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x -2))) 2) (cbrt.f64 (log1p.f64 (+.f64 x -2))) (neg.f64 (log.f64 y)))
Outputs
(-.f64 (log.f64 -1) (log.f64 y))
(log.f64 (/.f64 -1 y))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 x)) (log.f64 y))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 x) (log.f64 y)))
(+.f64 (neg.f64 x) (log.f64 (/.f64 -1 y)))
(-.f64 (log.f64 (/.f64 -1 y)) x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (log.f64 -1) (*.f64 -1 x))) (log.f64 y))
(-.f64 (fma.f64 -1/2 (*.f64 x x) (+.f64 (log.f64 -1) (neg.f64 x))) (log.f64 y))
(-.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) (log.f64 -1)) x) (log.f64 y))
(fma.f64 -1/2 (*.f64 x x) (-.f64 (log.f64 (/.f64 -1 y)) x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))) (log.f64 y))
(-.f64 (fma.f64 -1/2 (*.f64 x x) (+.f64 (log.f64 -1) (fma.f64 -1 x (*.f64 -1/3 (pow.f64 x 3))))) (log.f64 y))
(fma.f64 -1/2 (*.f64 x x) (+.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x) (log.f64 (/.f64 -1 y))))
(fma.f64 -1/2 (*.f64 x x) (+.f64 (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)) (log.f64 (/.f64 -1 y))))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 y))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 y))
(-.f64 (log.f64 x) (log.f64 y))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 x) (log.f64 y)))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (log.f64 y) (/.f64 1 x)))
(-.f64 (log.f64 x) (+.f64 (log.f64 y) (/.f64 1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (log.f64 y))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (+.f64 (log.f64 y) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x))))
(-.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 y) (/.f64 1 x)) (/.f64 (/.f64 1/2 x) x)))
(+.f64 (log.f64 x) (-.f64 (/.f64 -1/2 (*.f64 x x)) (+.f64 (log.f64 y) (/.f64 1 x))))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (log.f64 y)))))
(-.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 1/2 (*.f64 x x))) (+.f64 (+.f64 (log.f64 y) (/.f64 1 x)) (/.f64 1/3 (pow.f64 x 3))))
(-.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 y) (/.f64 1 x)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (-.f64 (log.f64 x) (+.f64 (log.f64 y) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))) (/.f64 1/2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 y))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y)))
(-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (/.f64 1 x) (log.f64 y)))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (log.f64 y) (/.f64 1 x)))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y))) (/.f64 1 x))
(-.f64 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (log.f64 y))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (+.f64 (log.f64 y) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x))))
(-.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y))) (/.f64 1 x)) (/.f64 (/.f64 1/2 x) x))
(-.f64 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (log.f64 y)))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (+.f64 (log.f64 y) (/.f64 1 x)) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (-.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y))) (/.f64 1 x)) (/.f64 (/.f64 1/2 x) x)) (/.f64 1/3 (pow.f64 x 3)))
(-.f64 (-.f64 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x))) (/.f64 1 x)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3))))
(-.f64 (log.f64 (-.f64 x 1)) (log.f64 y))
(log.f64 (/.f64 (+.f64 -1 x) y))
(-.f64 (log.f64 (-.f64 x 1)) (log.f64 y))
(log.f64 (/.f64 (+.f64 -1 x) y))
(-.f64 (log.f64 (-.f64 x 1)) (log.f64 y))
(log.f64 (/.f64 (+.f64 -1 x) y))
(-.f64 (log.f64 (-.f64 x 1)) (log.f64 y))
(log.f64 (/.f64 (+.f64 -1 x) y))
(-.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(log.f64 (/.f64 (+.f64 -1 x) y))
(-.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(log.f64 (/.f64 (+.f64 -1 x) y))
(-.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(log.f64 (/.f64 (+.f64 -1 x) y))
(-.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(log.f64 (/.f64 (+.f64 -1 x) y))
(-.f64 (log.f64 (-.f64 x 1)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(-.f64 (log.f64 (+.f64 -1 x)) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(-.f64 (log.f64 (+.f64 -1 x)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(+.f64 (log.f64 (+.f64 -1 x)) (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(-.f64 (log.f64 (-.f64 x 1)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(-.f64 (log.f64 (+.f64 -1 x)) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(-.f64 (log.f64 (+.f64 -1 x)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(+.f64 (log.f64 (+.f64 -1 x)) (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(-.f64 (log.f64 (-.f64 x 1)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(-.f64 (log.f64 (+.f64 -1 x)) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(-.f64 (log.f64 (+.f64 -1 x)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(+.f64 (log.f64 (+.f64 -1 x)) (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(-.f64 (log.f64 (-.f64 x 1)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(-.f64 (log.f64 (+.f64 -1 x)) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(-.f64 (log.f64 (+.f64 -1 x)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(+.f64 (log.f64 (+.f64 -1 x)) (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(+.f64 (log1p.f64 (+.f64 x -2)) (neg.f64 (log.f64 y)))
(-.f64 (log1p.f64 (+.f64 x -2)) (log.f64 y))
(+.f64 (log1p.f64 (+.f64 x -2)) (+.f64 (neg.f64 (log.f64 y)) (fma.f64 (neg.f64 (log.f64 y)) 1 (log.f64 y))))
(+.f64 (-.f64 (log1p.f64 (+.f64 x -2)) (log.f64 y)) (fma.f64 (neg.f64 (log.f64 y)) 1 (log.f64 y)))
(-.f64 (+.f64 (-.f64 (log1p.f64 (+.f64 x -2)) (log.f64 y)) (log.f64 y)) (log.f64 y))
(+.f64 (log1p.f64 (+.f64 x -2)) (-.f64 (-.f64 (log.f64 y) (log.f64 y)) (log.f64 y)))
(+.f64 (log1p.f64 (+.f64 x -2)) (+.f64 (neg.f64 (log.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (log.f64 y))))
(+.f64 (-.f64 (log1p.f64 (+.f64 x -2)) (log.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (log.f64 y)))
(+.f64 (log1p.f64 (+.f64 x -2)) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (log.f64 y)) (log.f64 y)))
(+.f64 (log1p.f64 (+.f64 x -2)) (+.f64 (neg.f64 (log.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (log.f64 y)) 2) (log.f64 y))))
(+.f64 (-.f64 (log1p.f64 (+.f64 x -2)) (log.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (log.f64 y)) 2) (log.f64 y)))
(+.f64 (log1p.f64 (+.f64 x -2)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (log.f64 y)) 2) (log.f64 y)) (log.f64 y)))
(+.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) (fma.f64 (neg.f64 (log.f64 y)) 1 (log.f64 y)))
(+.f64 (fma.f64 (neg.f64 (log.f64 y)) 1 (log.f64 y)) (log.f64 (/.f64 (+.f64 -1 x) y)))
(+.f64 (+.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) (neg.f64 (log.f64 y))) (log.f64 y))
(+.f64 (log.f64 y) (-.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) (log.f64 y)))
(+.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (log.f64 y)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (log.f64 y)) (log.f64 (/.f64 (+.f64 -1 x) y)))
(+.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (log.f64 y)) 2) (log.f64 y)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (log.f64 y)) 2) (log.f64 y)) (log.f64 (/.f64 (+.f64 -1 x) y)))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (pow.f64 (log.f64 y) 2)) (log.f64 (*.f64 y (+.f64 -1 x))))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 y (+.f64 -1 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 3) (pow.f64 (log.f64 y) 3)) (fma.f64 (log.f64 y) (log.f64 (*.f64 y (+.f64 -1 x))) (pow.f64 (log1p.f64 (+.f64 x -2)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 3) (pow.f64 (log.f64 y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 -1 x) y)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 -1 x) y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 y (+.f64 -1 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 3) (pow.f64 (log.f64 y) 3)) (fma.f64 (log.f64 y) (log.f64 (*.f64 y (+.f64 -1 x))) (pow.f64 (log1p.f64 (+.f64 x -2)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 3) (pow.f64 (log.f64 y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 -1 x) y))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 -1 x) y))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 -1 x) y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 y (+.f64 -1 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 3) (pow.f64 (log.f64 y) 3)) (fma.f64 (log.f64 y) (log.f64 (*.f64 y (+.f64 -1 x))) (pow.f64 (log1p.f64 (+.f64 x -2)) 2)))
(pow.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 1)
(log.f64 (/.f64 (+.f64 -1 x) y))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 2)
(log.f64 (/.f64 (+.f64 -1 x) y))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 3)
(log.f64 (/.f64 (+.f64 -1 x) y))
(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 3) 1/3)
(log.f64 (/.f64 (+.f64 -1 x) y))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (pow.f64 (log.f64 y) 2)) (neg.f64 (log.f64 (*.f64 (+.f64 -1 x) y)))))
(/.f64 (+.f64 (pow.f64 (log.f64 y) 2) (neg.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2))) (neg.f64 (log.f64 (*.f64 y (+.f64 -1 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (log1p.f64 (+.f64 x -2)) 2)) (neg.f64 (log.f64 (*.f64 y (+.f64 -1 x)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 3) (pow.f64 (log.f64 y) 3)) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 -1 x) y)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 y (+.f64 -1 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 x -2)) 3) (pow.f64 (log.f64 y) 3)) (fma.f64 (log.f64 y) (log.f64 (*.f64 y (+.f64 -1 x))) (pow.f64 (log1p.f64 (+.f64 x -2)) 2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 2))
(fabs.f64 (log.f64 (/.f64 (+.f64 -1 x) y)))
(log.f64 (/.f64 (+.f64 -1 x) y))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 -1 x) y) 1)))
(log1p.f64 (+.f64 (/.f64 (+.f64 -1 x) y) -1))
(log.f64 (+.f64 (/.f64 (+.f64 -1 x) y) 0))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 -1 x) y)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 3))
(log.f64 (/.f64 (+.f64 -1 x) y))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))
(log.f64 (/.f64 (+.f64 -1 x) y))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))
(log.f64 (/.f64 (+.f64 -1 x) y))
(log1p.f64 (-.f64 (/.f64 (+.f64 -1 x) y) 1))
(log1p.f64 (+.f64 (/.f64 (+.f64 -1 x) y) -1))
(log.f64 (+.f64 (/.f64 (+.f64 -1 x) y) 0))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 -1 x) y)))
(fma.f64 1 (log1p.f64 (+.f64 x -2)) (neg.f64 (log.f64 y)))
(-.f64 (log1p.f64 (+.f64 x -2)) (log.f64 y))
(fma.f64 (sqrt.f64 (log1p.f64 (+.f64 x -2))) (sqrt.f64 (log1p.f64 (+.f64 x -2))) (neg.f64 (log.f64 y)))
(-.f64 (log1p.f64 (+.f64 x -2)) (log.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x -2))) 2) (cbrt.f64 (log1p.f64 (+.f64 x -2))) (neg.f64 (log.f64 y)))
(-.f64 (log1p.f64 (+.f64 x -2)) (log.f64 y))

eval405.0ms (4.7%)

Compiler

Compiled 21067 to 13929 computations (33.9% saved)

prune262.0ms (3%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New8349843
Fresh8210
Picked101
Done325
Total84613859
Error
0.0b
Counts
859 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
39.6b
(-.f64 1 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 3))
52.8b
(-.f64 1 (+.f64 (/.f64 (/.f64 1/2 y) y) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 y))))))
52.3b
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))
23.9b
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y))
39.2b
(-.f64 1 (+.f64 y (*.f64 1/2 (*.f64 y y))))
17.1b
(-.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
38.9b
(-.f64 1 (log1p.f64 (/.f64 y (-.f64 1 y))))
16.1b
(-.f64 1 (log1p.f64 (/.f64 x (+.f64 -1 y))))
43.2b
(-.f64 1 (log1p.f64 (/.f64 x y)))
23.0b
(-.f64 1 (log1p.f64 (neg.f64 x)))
39.2b
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))
51.4b
(-.f64 1 (log.f64 (/.f64 -1 y)))
38.7b
(-.f64 1 y)
Compiler

Compiled 256 to 205 computations (19.9% saved)

localize54.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

Compiled 28 to 19 computations (32.1% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite61.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1690×add-sqr-sqrt
1674×*-un-lft-identity
1562×add-cube-cbrt
1546×add-cbrt-cube
154×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
115313
2201213
Stop Event
node limit
Counts
1 → 34
Calls
Call 1
Inputs
(/.f64 x (+.f64 -1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 -1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 -1 y))) (sqrt.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) 2) (cbrt.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (+.f64 1 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 y))) (/.f64 x (sqrt.f64 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 y)) 2)) (/.f64 x (cbrt.f64 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (-.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 -1 (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 y y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 -1 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 -1 y)) 2)) (cbrt.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 -1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 -1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -1 y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 1 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 -1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 -1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 -1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 -1 y))))))))

simplify63.0ms (0.7%)

Algorithm
egg-herbie
Rules
1534×associate-*r*
1440×associate-/r*
1220×associate-+r+
1010×associate-+l+
558×associate-+l-
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01191280
13161202
210901190
349361188
Stop Event
node limit
Counts
58 → 77
Calls
Call 1
Inputs
(/.f64 x (-.f64 y 1))
(/.f64 x (-.f64 y 1))
(/.f64 x (-.f64 y 1))
(/.f64 x (-.f64 y 1))
(/.f64 x (-.f64 y 1))
(/.f64 x (-.f64 y 1))
(/.f64 x (-.f64 y 1))
(/.f64 x (-.f64 y 1))
(/.f64 x (-.f64 y 1))
(/.f64 x (-.f64 y 1))
(/.f64 x (-.f64 y 1))
(/.f64 x (-.f64 y 1))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x)))))
(/.f64 x y)
(+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)))
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))))
(/.f64 x y)
(+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)))
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 -1 y)))) 1)
(*.f64 x (/.f64 1 (+.f64 -1 y)))
(*.f64 (/.f64 x (+.f64 -1 y)) 1)
(*.f64 1 (/.f64 x (+.f64 -1 y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 -1 y))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 -1 y))) (sqrt.f64 (/.f64 x (+.f64 -1 y))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 -1 y))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) 2) (cbrt.f64 (/.f64 x (+.f64 -1 y))))
(*.f64 (/.f64 1 (+.f64 -1 y)) x)
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 (neg.f64 y))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 y))) (/.f64 x (sqrt.f64 (+.f64 -1 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 y)) 2)) (/.f64 x (cbrt.f64 (+.f64 -1 y))))
(*.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (-.f64 -1 y))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 y y) y)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 -1 y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 y))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 -1 y)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 -1 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 y))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 -1 y)) 2)) (cbrt.f64 (/.f64 x (+.f64 -1 y))))
(pow.f64 (/.f64 x (+.f64 -1 y)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 -1 y))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 -1 y)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 -1 y) x) -1)
(neg.f64 (/.f64 x (+.f64 1 (neg.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 -1 y)) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 -1 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 -1 y)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 -1 y)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 -1 y))))
(exp.f64 (log.f64 (/.f64 x (+.f64 -1 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 -1 y))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 -1 y))))
Outputs
(/.f64 x (-.f64 y 1))
(/.f64 x (+.f64 y -1))
(/.f64 x (-.f64 y 1))
(/.f64 x (+.f64 y -1))
(/.f64 x (-.f64 y 1))
(/.f64 x (+.f64 y -1))
(/.f64 x (-.f64 y 1))
(/.f64 x (+.f64 y -1))
(/.f64 x (-.f64 y 1))
(/.f64 x (+.f64 y -1))
(/.f64 x (-.f64 y 1))
(/.f64 x (+.f64 y -1))
(/.f64 x (-.f64 y 1))
(/.f64 x (+.f64 y -1))
(/.f64 x (-.f64 y 1))
(/.f64 x (+.f64 y -1))
(/.f64 x (-.f64 y 1))
(/.f64 x (+.f64 y -1))
(/.f64 x (-.f64 y 1))
(/.f64 x (+.f64 y -1))
(/.f64 x (-.f64 y 1))
(/.f64 x (+.f64 y -1))
(/.f64 x (-.f64 y 1))
(/.f64 x (+.f64 y -1))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 -1 y))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x))))
(fma.f64 -1 x (fma.f64 -1 (*.f64 x (*.f64 y y)) (*.f64 (neg.f64 y) x)))
(-.f64 (neg.f64 (*.f64 x (fma.f64 y y y))) x)
(neg.f64 (fma.f64 x (fma.f64 y y y) x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x)))))
(fma.f64 -1 (*.f64 x (pow.f64 y 3)) (fma.f64 -1 x (fma.f64 -1 (*.f64 x (*.f64 y y)) (*.f64 (neg.f64 y) x))))
(-.f64 (-.f64 (neg.f64 (*.f64 x (fma.f64 y y y))) x) (*.f64 x (pow.f64 y 3)))
(-.f64 (*.f64 x (neg.f64 (fma.f64 y y y))) (fma.f64 x (pow.f64 y 3) x))
(*.f64 x (+.f64 -1 (-.f64 (neg.f64 (fma.f64 y y y)) (pow.f64 y 3))))
(/.f64 x y)
(+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))))
(+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))))
(+.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4))))
(+.f64 (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 x (*.f64 y y))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 4))))
(/.f64 x y)
(+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))))
(+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))))
(+.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4))))
(+.f64 (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 x (*.f64 y y))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 4))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 -1 y)))) 1)
(/.f64 x (+.f64 y -1))
(*.f64 x (/.f64 1 (+.f64 -1 y)))
(/.f64 x (+.f64 y -1))
(*.f64 (/.f64 x (+.f64 -1 y)) 1)
(/.f64 x (+.f64 y -1))
(*.f64 1 (/.f64 x (+.f64 -1 y)))
(/.f64 x (+.f64 y -1))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 -1 y))))
(/.f64 x (+.f64 y -1))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 -1 y))) (sqrt.f64 (/.f64 x (+.f64 -1 y))))
(/.f64 x (+.f64 y -1))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 -1 y))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 y -1)) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (+.f64 y -1)))
(/.f64 (cbrt.f64 x) (/.f64 (+.f64 y -1) (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) 2))
(/.f64 x (+.f64 y -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) 2) (cbrt.f64 (/.f64 x (+.f64 -1 y))))
(/.f64 x (+.f64 y -1))
(*.f64 (/.f64 1 (+.f64 -1 y)) x)
(/.f64 x (+.f64 y -1))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 (neg.f64 y))))
(/.f64 (*.f64 (neg.f64 x) 1) (-.f64 1 y))
(/.f64 (neg.f64 x) (-.f64 1 y))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 y))) (/.f64 x (sqrt.f64 (+.f64 -1 y))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 y -1))) (/.f64 x (sqrt.f64 (+.f64 y -1))))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)))
(/.f64 x (*.f64 (sqrt.f64 (+.f64 y -1)) (sqrt.f64 (+.f64 y -1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 y)) 2)) (/.f64 x (cbrt.f64 (+.f64 -1 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 x (cbrt.f64 (+.f64 y -1))))
(/.f64 (/.f64 x (cbrt.f64 (+.f64 y -1))) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2))
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2) (cbrt.f64 (+.f64 y -1))))
(*.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (-.f64 -1 y))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 y y) y)))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))
(/.f64 (fma.f64 x (fma.f64 y y y) x) (+.f64 -1 (pow.f64 y 3)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 -1 y)))
(/.f64 x (+.f64 y -1))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 x (cbrt.f64 (+.f64 y -1))))
(/.f64 (/.f64 x (cbrt.f64 (+.f64 y -1))) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2))
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2) (cbrt.f64 (+.f64 y -1))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 -1 y)))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 y -1)) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (+.f64 y -1)))
(/.f64 (cbrt.f64 x) (/.f64 (+.f64 y -1) (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 -1 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 y))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 y -1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 y -1))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 -1 y)) 2)) (cbrt.f64 (/.f64 x (+.f64 -1 y))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 y -1))) (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)))
(pow.f64 (/.f64 x (+.f64 -1 y)) 1)
(/.f64 x (+.f64 y -1))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 -1 y))) 2)
(/.f64 x (+.f64 y -1))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) 3)
(/.f64 x (+.f64 y -1))
(pow.f64 (pow.f64 (/.f64 x (+.f64 -1 y)) 3) 1/3)
(/.f64 x (+.f64 y -1))
(pow.f64 (/.f64 (+.f64 -1 y) x) -1)
(/.f64 x (+.f64 y -1))
(neg.f64 (/.f64 x (+.f64 1 (neg.f64 y))))
(/.f64 (*.f64 (neg.f64 x) 1) (-.f64 1 y))
(/.f64 (neg.f64 x) (-.f64 1 y))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 -1 y)) 2))
(/.f64 x (+.f64 y -1))
(log.f64 (exp.f64 (/.f64 x (+.f64 -1 y))))
(/.f64 x (+.f64 y -1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 -1 y)))))
(/.f64 x (+.f64 y -1))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 -1 y)) 3))
(/.f64 x (+.f64 y -1))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 -1 y))))
(/.f64 x (+.f64 y -1))
(exp.f64 (log.f64 (/.f64 x (+.f64 -1 y))))
(/.f64 x (+.f64 y -1))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 -1 y))) 1))
(/.f64 x (+.f64 y -1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 -1 y))))
(/.f64 x (+.f64 y -1))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.1%)

Compiler

Compiled 14 to 7 computations (50% saved)

localize25.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
4.4b
(log1p.f64 (/.f64 x y))
Compiler

Compiled 18 to 7 computations (61.1% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log1p.f64 (/.f64 x y))
0.0ms
x
@inf
(log1p.f64 (/.f64 x y))
0.0ms
x
@-inf
(log1p.f64 (/.f64 x y))
0.0ms
y
@inf
(log1p.f64 (/.f64 x y))
0.0ms
y
@0
(log1p.f64 (/.f64 x y))

rewrite53.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1426×add-sqr-sqrt
1414×*-un-lft-identity
1310×add-cube-cbrt
1292×add-cbrt-cube
1278×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114111
2176111
Stop Event
node limit
Counts
1 → 16
Calls
Call 1
Inputs
(log1p.f64 (/.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 x y))) (sqrt.f64 (log1p.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x y))) 2) (cbrt.f64 (log1p.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (/.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 x y))) 1))))))

simplify58.0ms (0.7%)

Algorithm
egg-herbie
Rules
1410×associate-/r*
1206×associate-*r/
1112×associate-+r-
1002×associate-+l-
870×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0941614
12471394
29551244
338611244
Stop Event
node limit
Counts
40 → 72
Calls
Call 1
Inputs
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))))
(+.f64 (/.f64 y x) (+.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 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 y))))
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 y)))))
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 y))))))
(+.f64 (/.f64 y x) (+.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 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 y)))))))
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))
(+.f64 (/.f64 y x) (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y)))))
(+.f64 (/.f64 y x) (+.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 (log.f64 x) (*.f64 -1 (log.f64 y))))))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (+.f64 1 (log1p.f64 (/.f64 x y))) 1)
(*.f64 (log1p.f64 (/.f64 x y)) 1)
(*.f64 1 (log1p.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 x y))) (sqrt.f64 (log1p.f64 (/.f64 x y))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x y))) 2) (cbrt.f64 (log1p.f64 (/.f64 x y))))
(pow.f64 (log1p.f64 (/.f64 x y)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 x y))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x y))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 x y)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 x y)) 2))
(log.f64 (+.f64 (/.f64 x y) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 x y)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 x y))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 x y))) 1))
Outputs
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (/.f64 x y) (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y)))
(fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y))
(fma.f64 (/.f64 -1/2 y) (/.f64 (*.f64 x x) y) (/.f64 x y))
(fma.f64 -1/2 (*.f64 x (/.f64 x (*.f64 y y))) (/.f64 x y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (/.f64 x y) (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y)))
(fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (fma.f64 (/.f64 -1/2 y) (/.f64 (*.f64 x x) y) (/.f64 x y)))
(fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (fma.f64 -1/2 (*.f64 x (/.f64 x (*.f64 y y))) (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y)))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y))))
(fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 x y))))
(fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (fma.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (/.f64 x (*.f64 y y))) (/.f64 x y))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y))) (/.f64 y x))
(+.f64 (/.f64 y x) (-.f64 (log.f64 x) (log.f64 y)))
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))))
(+.f64 (/.f64 y x) (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y)))))
(+.f64 (/.f64 y x) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (-.f64 (log.f64 x) (log.f64 y))))
(+.f64 (/.f64 y x) (-.f64 (fma.f64 (/.f64 -1/2 x) (/.f64 y (/.f64 x y)) (log.f64 x)) (log.f64 y)))
(+.f64 (/.f64 y x) (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (log.f64 x)) (log.f64 y)))
(+.f64 (/.f64 y x) (+.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 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))))
(+.f64 (/.f64 y x) (fma.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y))))))
(+.f64 (/.f64 y x) (fma.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (-.f64 (log.f64 x) (log.f64 y)))))
(+.f64 (/.f64 y x) (-.f64 (fma.f64 1/3 (pow.f64 (/.f64 y x) 3) (fma.f64 (/.f64 -1/2 x) (/.f64 y (/.f64 x y)) (log.f64 x))) (log.f64 y)))
(+.f64 (/.f64 y x) (-.f64 (fma.f64 1/3 (pow.f64 (/.f64 y x) 3) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (log.f64 x))) (log.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 y))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y)))
(-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x)))
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 y)))))
(+.f64 (/.f64 y x) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y))))
(+.f64 (/.f64 y x) (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 y x) (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 y))))))
(+.f64 (/.f64 y x) (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y)))))
(+.f64 (/.f64 y x) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (fma.f64 (/.f64 -1/2 x) (/.f64 y (/.f64 x y)) (/.f64 y x)) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x)) (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 y x) (+.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 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 y)))))))
(+.f64 (/.f64 y x) (fma.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y))))))
(+.f64 (/.f64 y x) (fma.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x))))))
(+.f64 (/.f64 y x) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 1/3 (pow.f64 (/.f64 y x) 3) (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x))))))
(fma.f64 1/3 (pow.f64 (/.f64 y x) 3) (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x)) (log.f64 (/.f64 -1 x)))))
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (/.f64 y x) (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y))) (/.f64 y x))
(+.f64 (/.f64 y x) (-.f64 (log.f64 x) (log.f64 y)))
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y)))))
(+.f64 (/.f64 y x) (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y)))))
(+.f64 (/.f64 y x) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (-.f64 (log.f64 x) (log.f64 y))))
(+.f64 (/.f64 y x) (-.f64 (fma.f64 (/.f64 -1/2 x) (/.f64 y (/.f64 x y)) (log.f64 x)) (log.f64 y)))
(+.f64 (/.f64 y x) (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (log.f64 x)) (log.f64 y)))
(+.f64 (/.f64 y x) (+.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 (log.f64 x) (*.f64 -1 (log.f64 y))))))
(+.f64 (/.f64 y x) (fma.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y))))))
(+.f64 (/.f64 y x) (fma.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (-.f64 (log.f64 x) (log.f64 y)))))
(+.f64 (/.f64 y x) (-.f64 (fma.f64 1/3 (pow.f64 (/.f64 y x) 3) (fma.f64 (/.f64 -1/2 x) (/.f64 y (/.f64 x y)) (log.f64 x))) (log.f64 y)))
(+.f64 (/.f64 y x) (-.f64 (fma.f64 1/3 (pow.f64 (/.f64 y x) 3) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (log.f64 x))) (log.f64 y)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (/.f64 x y) (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y)))
(fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y))
(fma.f64 (/.f64 -1/2 y) (/.f64 (*.f64 x x) y) (/.f64 x y))
(fma.f64 -1/2 (*.f64 x (/.f64 x (*.f64 y y))) (/.f64 x y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (/.f64 x y) (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y)))
(fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (fma.f64 (/.f64 -1/2 y) (/.f64 (*.f64 x x) y) (/.f64 x y)))
(fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (fma.f64 -1/2 (*.f64 x (/.f64 x (*.f64 y y))) (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y)))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y))))
(fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 x y))))
(fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (fma.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (/.f64 x (*.f64 y y))) (/.f64 x y))))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (/.f64 x y) (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y)))
(fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y))
(fma.f64 (/.f64 -1/2 y) (/.f64 (*.f64 x x) y) (/.f64 x y))
(fma.f64 -1/2 (*.f64 x (/.f64 x (*.f64 y y))) (/.f64 x y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (/.f64 x y) (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y)))
(fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (fma.f64 (/.f64 -1/2 y) (/.f64 (*.f64 x x) y) (/.f64 x y)))
(fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (fma.f64 -1/2 (*.f64 x (/.f64 x (*.f64 y y))) (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y)))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y))))
(fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 x y))))
(fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (fma.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (/.f64 x (*.f64 y y))) (/.f64 x y))))
(-.f64 (+.f64 1 (log1p.f64 (/.f64 x y))) 1)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 x y)) 1))
(+.f64 (log1p.f64 (/.f64 x y)) 0)
(log1p.f64 (/.f64 x y))
(*.f64 (log1p.f64 (/.f64 x y)) 1)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 x y)) 1))
(+.f64 (log1p.f64 (/.f64 x y)) 0)
(log1p.f64 (/.f64 x y))
(*.f64 1 (log1p.f64 (/.f64 x y)))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 x y)) 1))
(+.f64 (log1p.f64 (/.f64 x y)) 0)
(log1p.f64 (/.f64 x y))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 x y))) (sqrt.f64 (log1p.f64 (/.f64 x y))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 x y)) 1))
(+.f64 (log1p.f64 (/.f64 x y)) 0)
(log1p.f64 (/.f64 x y))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x y))) 2))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 x y)) 1))
(+.f64 (log1p.f64 (/.f64 x y)) 0)
(log1p.f64 (/.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x y))) 2) (cbrt.f64 (log1p.f64 (/.f64 x y))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 x y)) 1))
(+.f64 (log1p.f64 (/.f64 x y)) 0)
(log1p.f64 (/.f64 x y))
(pow.f64 (log1p.f64 (/.f64 x y)) 1)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 x y)) 1))
(+.f64 (log1p.f64 (/.f64 x y)) 0)
(log1p.f64 (/.f64 x y))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 x y))) 2)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 x y)) 1))
(+.f64 (log1p.f64 (/.f64 x y)) 0)
(log1p.f64 (/.f64 x y))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x y))) 3)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 x y)) 1))
(+.f64 (log1p.f64 (/.f64 x y)) 0)
(log1p.f64 (/.f64 x y))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 x y)) 3) 1/3)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 x y)) 1))
(+.f64 (log1p.f64 (/.f64 x y)) 0)
(log1p.f64 (/.f64 x y))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 x y)) 2))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 x y)) 1))
(+.f64 (log1p.f64 (/.f64 x y)) 0)
(log1p.f64 (/.f64 x y))
(log.f64 (+.f64 (/.f64 x y) 1))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 x y)) 1))
(+.f64 (log1p.f64 (/.f64 x y)) 0)
(log1p.f64 (/.f64 x y))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 x y)) 3))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 x y)) 1))
(+.f64 (log1p.f64 (/.f64 x y)) 0)
(log1p.f64 (/.f64 x y))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 x y))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 x y)) 1))
(+.f64 (log1p.f64 (/.f64 x y)) 0)
(log1p.f64 (/.f64 x y))
(exp.f64 (log.f64 (log1p.f64 (/.f64 x y))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 x y)) 1))
(+.f64 (log1p.f64 (/.f64 x y)) 0)
(log1p.f64 (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 x y))) 1))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 x y)) 1))
(+.f64 (log1p.f64 (/.f64 x y)) 0)
(log1p.f64 (/.f64 x y))

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 -1 x) y)
4.4b
(log.f64 (/.f64 (+.f64 -1 x) y))
Compiler

Compiled 28 to 19 computations (32.1% saved)

series101.0ms (1.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
56.0ms
y
@-inf
(log.f64 (/.f64 (+.f64 -1 x) y))
36.0ms
y
@0
(log.f64 (/.f64 (+.f64 -1 x) y))
8.0ms
y
@inf
(log.f64 (/.f64 (+.f64 -1 x) y))
0.0ms
x
@-inf
(log.f64 (/.f64 (+.f64 -1 x) y))
0.0ms
x
@-inf
(/.f64 (+.f64 -1 x) y)

rewrite80.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
994×associate-*r/
846×*-commutative
762×associate-/r*
752×associate-*l/
596×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
118830
2240230
Stop Event
node limit
Counts
2 → 129
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 -1 x) y))
(/.f64 (+.f64 -1 x) y)
Outputs
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(log.f64 (/.f64 (+.f64 -1 x) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y)))) (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (+.f64 -1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (+.f64 -1 x) (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 -1 x) (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (+.f64 -1 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 -1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 -1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 x) y)))))))

simplify95.0ms (1.1%)

Algorithm
egg-herbie
Rules
1160×associate-*r/
820×associate-*l/
752×associate-/l*
726×*-commutative
600×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03484773
18824313
229914305
Stop Event
node limit
Counts
177 → 236
Calls
Call 1
Inputs
(log.f64 (/.f64 -1 y))
(+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(+.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 y)))
(+.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 y)))
(+.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 y)))
(+.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 y)))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))
(/.f64 -1 y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(+.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 0)
(+.f64 (log.f64 (+.f64 -1 x)) (log.f64 (/.f64 1 y)))
(+.f64 (log.f64 (+.f64 -1 x)) (neg.f64 (log.f64 y)))
(+.f64 (log.f64 (+.f64 -1 x)) (*.f64 1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 (+.f64 -1 x)) (*.f64 (log.f64 (/.f64 1 y)) 1))
(+.f64 (log.f64 (+.f64 -1 x)) (*.f64 (neg.f64 (log.f64 y)) 1))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y))) (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y))))
(+.f64 0 (log.f64 (/.f64 (+.f64 -1 x) y)))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (+.f64 -1 x)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 -1 x))) (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 -1 x))) (neg.f64 (log.f64 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 -1 x))) (log.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 -1 x))) (+.f64 (log.f64 (sqrt.f64 (+.f64 -1 x))) (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 -1 x))) (+.f64 (log.f64 (sqrt.f64 (+.f64 -1 x))) (neg.f64 (log.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 -1 x))) (-.f64 (log.f64 (sqrt.f64 (+.f64 -1 x))) (log.f64 y)))
(+.f64 (neg.f64 (log.f64 y)) (log.f64 (+.f64 -1 x)))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y)))) (*.f64 1 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y)))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 2))) (*.f64 1 (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)))))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y))) 1) (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y))) 1))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y))) 1))
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (-.f64 (log.f64 (-.f64 -1 x)) (log.f64 (/.f64 1 y))))
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (-.f64 (log.f64 (-.f64 -1 x)) (neg.f64 (log.f64 y))))
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (+.f64 (log.f64 (-.f64 -1 x)) (log.f64 y)))
(-.f64 0 (log.f64 (/.f64 y (+.f64 -1 x))))
(-.f64 (log.f64 (-.f64 1 x)) (log.f64 (neg.f64 y)))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x 3))) (-.f64 (log.f64 (+.f64 1 (fma.f64 x x x))) (log.f64 (/.f64 1 y))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x 3))) (-.f64 (log.f64 (+.f64 1 (fma.f64 x x x))) (neg.f64 (log.f64 y))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x 3))) (+.f64 (log.f64 (+.f64 1 (fma.f64 x x x))) (log.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 -1 x) y)))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 1 x))) (log.f64 (neg.f64 y)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))) 1)
(-.f64 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 (sqrt.f64 y))) (log.f64 (sqrt.f64 y)))
(-.f64 (-.f64 (log.f64 (+.f64 -1 x)) 0) (log.f64 y))
(-.f64 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 (pow.f64 (cbrt.f64 y) 2))) (log.f64 (cbrt.f64 y)))
(*.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 1)
(*.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 2) (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y)))) (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y)))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y)))) (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 2))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))) (*.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 -1 x)) (log.f64 (+.f64 -1 x))) (*.f64 (log.f64 y) (log.f64 y))) (+.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (*.f64 (log.f64 (+.f64 -1 x)) (log.f64 (+.f64 -1 x))) (*.f64 (log.f64 y) (+.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (log.f64 (+.f64 -1 x)) (log.f64 (+.f64 -1 x))) (*.f64 (log.f64 y) (log.f64 y)))) (+.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 3) (pow.f64 (log.f64 y) 3))) (+.f64 (*.f64 (log.f64 (+.f64 -1 x)) (log.f64 (+.f64 -1 x))) (*.f64 (log.f64 y) (+.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)))))
(/.f64 (*.f64 (-.f64 (*.f64 (log.f64 (+.f64 -1 x)) (log.f64 (+.f64 -1 x))) (*.f64 (log.f64 y) (log.f64 y))) 1) (+.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 3) (pow.f64 (log.f64 y) 3)) 1) (+.f64 (*.f64 (log.f64 (+.f64 -1 x)) (log.f64 (+.f64 -1 x))) (*.f64 (log.f64 y) (+.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)))))
(pow.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 1)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 2)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 3) 1/3)
(neg.f64 (log.f64 (/.f64 y (+.f64 -1 x))))
(neg.f64 (*.f64 (log.f64 (/.f64 y (+.f64 -1 x))) 1))
(neg.f64 (*.f64 1 (log.f64 (/.f64 y (+.f64 -1 x)))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))
(log1p.f64 (-.f64 (/.f64 (+.f64 -1 x) y) 1))
(+.f64 (*.f64 (/.f64 1 y) -1) (*.f64 (/.f64 1 y) x))
(+.f64 (*.f64 -1 (/.f64 1 y)) (*.f64 x (/.f64 1 y)))
(+.f64 (*.f64 (/.f64 1 y) x) (*.f64 (/.f64 1 y) -1))
(+.f64 (*.f64 x (/.f64 1 y)) (*.f64 -1 (/.f64 1 y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1 x) y))) 1)
(*.f64 (+.f64 -1 x) (/.f64 1 y))
(*.f64 (/.f64 (+.f64 -1 x) y) 1)
(*.f64 1 (/.f64 (+.f64 -1 x) y))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y)) (sqrt.f64 (/.f64 (+.f64 -1 x) y)))
(*.f64 (sqrt.f64 (+.f64 -1 x)) (/.f64 (sqrt.f64 (+.f64 -1 x)) y))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 2) (cbrt.f64 (/.f64 (+.f64 -1 x) y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (/.f64 (cbrt.f64 (+.f64 -1 x)) y))
(*.f64 (/.f64 1 y) (+.f64 -1 x))
(*.f64 (-.f64 1 x) (/.f64 -1 y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) y) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) y) (/.f64 (sqrt.f64 (+.f64 -1 x)) 1))
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1 x)) y) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1 x)) y) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) 1))
(*.f64 (/.f64 (+.f64 -1 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 -1 x) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 -1 x) (cbrt.f64 y)))
(*.f64 (/.f64 (+.f64 -1 x) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 -1 y) (-.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) 1) (/.f64 (sqrt.f64 (+.f64 -1 x)) y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 -1 x)) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (+.f64 -1 x)) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1 x)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 -1 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1 x)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 -1 x) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) y) (cbrt.f64 (+.f64 -1 x)))
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))) (cbrt.f64 (+.f64 -1 x)))
(*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 x x)) y) (-.f64 1 (*.f64 x x))) (+.f64 -1 x))
(*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 x x)) y) (-.f64 -1 (pow.f64 x 3))) (+.f64 1 (*.f64 x (+.f64 -1 x))))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) y) (-.f64 1 (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) y) (+.f64 1 (pow.f64 (fma.f64 x x x) 3))) (+.f64 1 (*.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) 1))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y))) (cbrt.f64 (/.f64 (+.f64 -1 x) y))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y))) (cbrt.f64 (/.f64 (+.f64 -1 x) y))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)))) (*.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y)))))
(pow.f64 (/.f64 (+.f64 -1 x) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 x) y) 3) 1/3)
(pow.f64 (/.f64 y (+.f64 -1 x)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y)))) (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (+.f64 -1 x) y)))
(neg.f64 (/.f64 (+.f64 -1 x) (neg.f64 y)))
(neg.f64 (/.f64 (-.f64 1 x) y))
(neg.f64 (*.f64 (/.f64 (+.f64 -1 x) (neg.f64 y)) 1))
(neg.f64 (*.f64 (+.f64 -1 x) (/.f64 -1 y)))
(neg.f64 (*.f64 1 (/.f64 (+.f64 -1 x) (neg.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) y) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 -1 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 x) y))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 x) y)))
(exp.f64 (log.f64 (/.f64 (+.f64 -1 x) y)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 x) y)))
Outputs
(log.f64 (/.f64 -1 y))
(+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x))
(+.f64 (log.f64 (/.f64 -1 y)) (neg.f64 x))
(-.f64 (log.f64 (/.f64 -1 y)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x)))
(fma.f64 -1/2 (*.f64 x x) (+.f64 (log.f64 (/.f64 -1 y)) (neg.f64 x)))
(-.f64 (fma.f64 -1/2 (*.f64 x x) (log.f64 (/.f64 -1 y))) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))))
(fma.f64 -1/2 (*.f64 x x) (+.f64 (log.f64 (/.f64 -1 y)) (fma.f64 -1 x (*.f64 -1/3 (pow.f64 x 3)))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) (log.f64 (/.f64 -1 y))) x) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x -1/3) -1/2)) x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y)))
(-.f64 (log.f64 x) (log.f64 y))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) (/.f64 1 x))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y))) (/.f64 1 x))
(+.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 -1 x))
(-.f64 (log.f64 x) (+.f64 (/.f64 1 x) (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y))) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 1/2 (*.f64 x x))) (/.f64 -1 x))
(+.f64 (-.f64 (log.f64 x) (+.f64 (/.f64 1 x) (log.f64 y))) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y))) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (-.f64 (log.f64 x) (log.f64 y)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 y) (/.f64 (/.f64 1/2 x) x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y)))
(-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) (/.f64 1 x))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y))) (/.f64 1 x))
(+.f64 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x))) (/.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (-.f64 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x))) (/.f64 1/2 (*.f64 x x))) (/.f64 -1 x))
(+.f64 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 -1 x) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/3 (pow.f64 x 3))))))
(+.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 y)))
(log.f64 (/.f64 (-.f64 x 1) y))
(log.f64 (/.f64 (+.f64 -1 x) y))
(+.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 y)))
(log.f64 (/.f64 (-.f64 x 1) y))
(log.f64 (/.f64 (+.f64 -1 x) y))
(+.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 y)))
(log.f64 (/.f64 (-.f64 x 1) y))
(log.f64 (/.f64 (+.f64 -1 x) y))
(+.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 y)))
(log.f64 (/.f64 (-.f64 x 1) y))
(log.f64 (/.f64 (+.f64 -1 x) y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))
(log.f64 (/.f64 (-.f64 x 1) y))
(log.f64 (/.f64 (+.f64 -1 x) y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))
(log.f64 (/.f64 (-.f64 x 1) y))
(log.f64 (/.f64 (+.f64 -1 x) y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))
(log.f64 (/.f64 (-.f64 x 1) y))
(log.f64 (/.f64 (+.f64 -1 x) y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))
(log.f64 (/.f64 (-.f64 x 1) y))
(log.f64 (/.f64 (+.f64 -1 x) y))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (-.f64 x 1))))
(+.f64 (log.f64 (/.f64 -1 y)) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (-.f64 x 1))))
(+.f64 (log.f64 (/.f64 -1 y)) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (-.f64 x 1))))
(+.f64 (log.f64 (/.f64 -1 y)) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (-.f64 x 1))))
(+.f64 (log.f64 (/.f64 -1 y)) (log1p.f64 (neg.f64 x)))
(/.f64 -1 y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(+.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 0)
(log.f64 (/.f64 (-.f64 x 1) y))
(log.f64 (/.f64 (+.f64 -1 x) y))
(+.f64 (log.f64 (+.f64 -1 x)) (log.f64 (/.f64 1 y)))
(log.f64 (/.f64 (-.f64 x 1) y))
(log.f64 (/.f64 (+.f64 -1 x) y))
(+.f64 (log.f64 (+.f64 -1 x)) (neg.f64 (log.f64 y)))
(log.f64 (/.f64 (-.f64 x 1) y))
(log.f64 (/.f64 (+.f64 -1 x) y))
(+.f64 (log.f64 (+.f64 -1 x)) (*.f64 1 (log.f64 (/.f64 1 y))))
(log.f64 (/.f64 (-.f64 x 1) y))
(log.f64 (/.f64 (+.f64 -1 x) y))
(+.f64 (log.f64 (+.f64 -1 x)) (*.f64 (log.f64 (/.f64 1 y)) 1))
(log.f64 (/.f64 (-.f64 x 1) y))
(log.f64 (/.f64 (+.f64 -1 x) y))
(+.f64 (log.f64 (+.f64 -1 x)) (*.f64 (neg.f64 (log.f64 y)) 1))
(log.f64 (/.f64 (-.f64 x 1) y))
(log.f64 (/.f64 (+.f64 -1 x) y))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y))) (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y))))
(log.f64 (/.f64 (-.f64 x 1) y))
(log.f64 (/.f64 (+.f64 -1 x) y))
(+.f64 0 (log.f64 (/.f64 (+.f64 -1 x) y)))
(log.f64 (/.f64 (-.f64 x 1) y))
(log.f64 (/.f64 (+.f64 -1 x) y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (+.f64 -1 x)))
(log.f64 (/.f64 (-.f64 x 1) y))
(log.f64 (/.f64 (+.f64 -1 x) y))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 2)))
(log.f64 (/.f64 (-.f64 x 1) y))
(log.f64 (/.f64 (+.f64 -1 x) y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 -1 x))) (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 x 1)))) (-.f64 (log.f64 (cbrt.f64 (-.f64 x 1))) (log.f64 y)))
(-.f64 (*.f64 3 (log.f64 (cbrt.f64 (+.f64 -1 x)))) (log.f64 y))
(-.f64 (*.f64 3 (log.f64 (cbrt.f64 (-.f64 x 1)))) (log.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 -1 x))) (neg.f64 (log.f64 y))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 x 1)))) (-.f64 (log.f64 (cbrt.f64 (-.f64 x 1))) (log.f64 y)))
(-.f64 (*.f64 3 (log.f64 (cbrt.f64 (+.f64 -1 x)))) (log.f64 y))
(-.f64 (*.f64 3 (log.f64 (cbrt.f64 (-.f64 x 1)))) (log.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 -1 x))) (log.f64 y)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 x 1)))) (-.f64 (log.f64 (cbrt.f64 (-.f64 x 1))) (log.f64 y)))
(-.f64 (*.f64 3 (log.f64 (cbrt.f64 (+.f64 -1 x)))) (log.f64 y))
(-.f64 (*.f64 3 (log.f64 (cbrt.f64 (-.f64 x 1)))) (log.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y))))
(log.f64 (/.f64 (-.f64 x 1) y))
(log.f64 (/.f64 (+.f64 -1 x) y))
(+.f64 (log.f64 (sqrt.f64 (+.f64 -1 x))) (+.f64 (log.f64 (sqrt.f64 (+.f64 -1 x))) (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 x 1))) (-.f64 (log.f64 (sqrt.f64 (-.f64 x 1))) (log.f64 y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 -1 x)))) (log.f64 y))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (-.f64 x 1)))) (log.f64 y))
(+.f64 (log.f64 (sqrt.f64 (+.f64 -1 x))) (+.f64 (log.f64 (sqrt.f64 (+.f64 -1 x))) (neg.f64 (log.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 x 1))) (-.f64 (log.f64 (sqrt.f64 (-.f64 x 1))) (log.f64 y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 -1 x)))) (log.f64 y))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (-.f64 x 1)))) (log.f64 y))
(+.f64 (log.f64 (sqrt.f64 (+.f64 -1 x))) (-.f64 (log.f64 (sqrt.f64 (+.f64 -1 x))) (log.f64 y)))
(+.f64 (log.f64 (sqrt.f64 (-.f64 x 1))) (-.f64 (log.f64 (sqrt.f64 (-.f64 x 1))) (log.f64 y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 -1 x)))) (log.f64 y))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (-.f64 x 1)))) (log.f64 y))
(+.f64 (neg.f64 (log.f64 y)) (log.f64 (+.f64 -1 x)))
(log.f64 (/.f64 (-.f64 x 1) y))
(log.f64 (/.f64 (+.f64 -1 x) y))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y))))
(log.f64 (/.f64 (-.f64 x 1) y))
(log.f64 (/.f64 (+.f64 -1 x) y))
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(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x 1) y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 x 1) y)) (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 (-.f64 x 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 2) (cbrt.f64 (/.f64 (+.f64 -1 x) y)))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (/.f64 (cbrt.f64 (+.f64 -1 x)) y))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(*.f64 (/.f64 1 y) (+.f64 -1 x))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(*.f64 (-.f64 1 x) (/.f64 -1 y))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) y) (sqrt.f64 (+.f64 -1 x)))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) y) (/.f64 (sqrt.f64 (+.f64 -1 x)) 1))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1 x)) y) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1 x)) y) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) 1))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(*.f64 (/.f64 (+.f64 -1 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(*.f64 (/.f64 (-.f64 x 1) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (/.f64 (+.f64 -1 x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 x 1) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 -1 x) (sqrt.f64 y)))
(*.f64 (/.f64 (-.f64 x 1) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (/.f64 (+.f64 -1 x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 x 1) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 -1 x) (cbrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 x 1) (cbrt.f64 y)))
(/.f64 (/.f64 (+.f64 -1 x) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (-.f64 x 1) (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y)))
(*.f64 (/.f64 (+.f64 -1 x) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 x 1) (cbrt.f64 y)))
(/.f64 (/.f64 (+.f64 -1 x) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (-.f64 x 1) (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y)))
(*.f64 (/.f64 -1 y) (-.f64 1 x))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) 1) (/.f64 (sqrt.f64 (+.f64 -1 x)) y))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 -1 x)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 x 1) (cbrt.f64 y)))
(/.f64 (/.f64 (+.f64 -1 x) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (-.f64 x 1) (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (+.f64 -1 x)) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 x 1) (cbrt.f64 y)))
(/.f64 (/.f64 (+.f64 -1 x) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (-.f64 x 1) (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1 x)) y))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 -1 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (-.f64 x 1) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (/.f64 (+.f64 -1 x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 x 1) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1 x)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (sqrt.f64 y)))
(*.f64 (/.f64 (-.f64 x 1) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (/.f64 (+.f64 -1 x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 x 1) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 -1 x) y)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x 1) y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 x 1) y)) (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 (-.f64 x 1)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) y) (cbrt.f64 (+.f64 -1 x)))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))) (cbrt.f64 (+.f64 -1 x)))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 x x)) y) (-.f64 1 (*.f64 x x))) (+.f64 -1 x))
(*.f64 (-.f64 x 1) (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) y)))
(*.f64 (+.f64 -1 x) (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 y (-.f64 1 (*.f64 x x)))))
(/.f64 (-.f64 x 1) (/.f64 (*.f64 y (-.f64 1 (*.f64 x x))) (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 x x)) y) (-.f64 -1 (pow.f64 x 3))) (+.f64 1 (*.f64 x (+.f64 -1 x))))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 -1 (pow.f64 x 3)) y)) (+.f64 1 (*.f64 x (-.f64 x 1))))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 y (-.f64 -1 (pow.f64 x 3)))) (fma.f64 x (+.f64 -1 x) 1))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 y (-.f64 -1 (pow.f64 x 3)))) (fma.f64 x (-.f64 x 1) 1))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) y) (-.f64 1 (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 1 (fma.f64 x x x)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) y) (/.f64 (-.f64 1 (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (-.f64 1 (fma.f64 x x x))))
(/.f64 (+.f64 -1 (pow.f64 x 3)) (*.f64 (/.f64 (-.f64 1 (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (-.f64 1 (fma.f64 x x x))) y))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) y) (+.f64 1 (pow.f64 (fma.f64 x x x) 3))) (+.f64 1 (*.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) 1))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) (*.f64 (+.f64 1 (pow.f64 (fma.f64 x x x) 3)) y)) (+.f64 1 (*.f64 (fma.f64 x x x) (+.f64 (fma.f64 x x x) -1))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) (*.f64 y (+.f64 1 (pow.f64 (fma.f64 x x x) 3)))) (fma.f64 (fma.f64 x x x) (+.f64 -1 (fma.f64 x x x)) 1))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y))) (cbrt.f64 (/.f64 (+.f64 -1 x) y))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y))) (cbrt.f64 (/.f64 (+.f64 -1 x) y))))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 x 1) y))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x 1) y)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 x 1) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x 1) y)) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x 1) y)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 x 1) y))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 x 1) y)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)))) (*.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)))))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 x 1) y))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x 1) y)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 x 1) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x 1) y)) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x 1) y)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 x 1) y))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 x 1) y)))))
(pow.f64 (/.f64 (+.f64 -1 x) y) 1)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y)) 2)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 3)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 x) y) 3) 1/3)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(pow.f64 (/.f64 y (+.f64 -1 x)) -1)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y)))) (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (+.f64 -1 x) y)))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(neg.f64 (/.f64 (+.f64 -1 x) (neg.f64 y)))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(neg.f64 (/.f64 (-.f64 1 x) y))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(neg.f64 (*.f64 (/.f64 (+.f64 -1 x) (neg.f64 y)) 1))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(neg.f64 (*.f64 (+.f64 -1 x) (/.f64 -1 y)))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(neg.f64 (*.f64 1 (/.f64 (+.f64 -1 x) (neg.f64 y))))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) y) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x 1) y) 2))
(fabs.f64 (/.f64 (+.f64 -1 x) y))
(fabs.f64 (/.f64 (-.f64 x 1) y))
(log.f64 (exp.f64 (/.f64 (+.f64 -1 x) y)))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 x) y))))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) y) 3))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 x) y)))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(exp.f64 (log.f64 (/.f64 (+.f64 -1 x) y)))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 x) y)))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 -1 x) y)

eval115.0ms (1.3%)

Compiler

Compiled 6496 to 4413 computations (32.1% saved)

prune82.0ms (0.9%)

Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New3814385
Fresh156
Picked011
Done156
Total38315398
Error
0.0b
Counts
398 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
48.8b
(-.f64 1 (/.f64 x y))
52.8b
(-.f64 1 (+.f64 (/.f64 (/.f64 1/2 y) y) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 y))))))
53.4b
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y))))
52.3b
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))
23.9b
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y))
39.2b
(-.f64 1 (+.f64 y (*.f64 1/2 (*.f64 y y))))
39.2b
(-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))
17.1b
(-.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
38.9b
(-.f64 1 (log1p.f64 (/.f64 y (-.f64 1 y))))
16.1b
(-.f64 1 (log1p.f64 (/.f64 x (+.f64 -1 y))))
23.0b
(-.f64 1 (log1p.f64 (neg.f64 x)))
39.2b
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))
48.3b
(-.f64 1 (log.f64 (/.f64 x y)))
51.4b
(-.f64 1 (log.f64 (/.f64 -1 y)))
38.7b
(-.f64 1 y)
Compiler

Compiled 268 to 207 computations (22.8% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (log1p.f64 (neg.f64 x)) y)
Compiler

Compiled 22 to 8 computations (63.6% saved)

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@0
(+.f64 (log1p.f64 (neg.f64 x)) y)
0.0ms
x
@inf
(+.f64 (log1p.f64 (neg.f64 x)) y)
0.0ms
x
@-inf
(+.f64 (log1p.f64 (neg.f64 x)) y)
0.0ms
x
@0
(+.f64 (log1p.f64 (neg.f64 x)) y)
0.0ms
y
@-inf
(+.f64 (log1p.f64 (neg.f64 x)) y)

rewrite56.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1604×add-sqr-sqrt
1588×*-un-lft-identity
1482×add-cube-cbrt
1466×add-cbrt-cube
172×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0815
116911
2222211
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 (log1p.f64 (neg.f64 x)) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (log1p.f64 x) y)) (/.f64 (*.f64 y y) (-.f64 (log1p.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log1p.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log1p.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (log1p.f64 x) y)) (sqrt.f64 (+.f64 (log1p.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (log1p.f64 x) y)) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 x) y)) 2) (cbrt.f64 (+.f64 (log1p.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y y)) (/.f64 1 (-.f64 (log1p.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y (-.f64 y (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (log1p.f64 x) y) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y (-.f64 y (log1p.f64 x)))) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y y)) (-.f64 (log1p.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y (-.f64 y (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 y 3)) (+.f64 (*.f64 y y) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (log1p.f64 x) 2)) (-.f64 y (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y y))) (neg.f64 (-.f64 (log1p.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y (-.f64 y (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log1p.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (log1p.f64 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (log1p.f64 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (log1p.f64 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (log1p.f64 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (log1p.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (log1p.f64 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (log1p.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (log1p.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (log1p.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (log1p.f64 x))))))

simplify68.0ms (0.8%)

Algorithm
egg-herbie
Rules
1200×associate-*r*
1104×associate-+r-
1078×associate-*l*
938×associate--l+
854×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01321441
13471333
211961325
361241325
Stop Event
node limit
Counts
59 → 86
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 -1 x))
(+.f64 y (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 y (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))))
(+.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y)
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(log.f64 (-.f64 1 x))
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 y (log.f64 (-.f64 1 x)))
y
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 y (log.f64 (-.f64 1 x)))
y
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 y (log.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 x) y))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (log1p.f64 x) y)) (/.f64 (*.f64 y y) (-.f64 (log1p.f64 x) y)))
(*.f64 (+.f64 (log1p.f64 x) y) 1)
(*.f64 1 (+.f64 (log1p.f64 x) y))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 x) y)) (sqrt.f64 (+.f64 (log1p.f64 x) y)))
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 x) y)) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 x) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 x) y)) 2) (cbrt.f64 (+.f64 (log1p.f64 x) y)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y y)) (/.f64 1 (-.f64 (log1p.f64 x) y)))
(*.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y (-.f64 y (log1p.f64 x))))))
(/.f64 1 (/.f64 (-.f64 (log1p.f64 x) y) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y (-.f64 y (log1p.f64 x)))) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 y 3))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y y)) (-.f64 (log1p.f64 x) y))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y (-.f64 y (log1p.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 y 3)) (+.f64 (*.f64 y y) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) y))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (log1p.f64 x) 2)) (-.f64 y (log1p.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y y))) (neg.f64 (-.f64 (log1p.f64 x) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y (-.f64 y (log1p.f64 x))))))
(pow.f64 (+.f64 (log1p.f64 x) y) 1)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 x) y)) 2)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 x) y)) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 x) y) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 x) y) 2))
(log.f64 (exp.f64 (+.f64 (log1p.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 x) y))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 x) y) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 x) y)))
(exp.f64 (log.f64 (+.f64 (log1p.f64 x) y)))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 x) y)) 1))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 x) y)))
(fma.f64 1 (log1p.f64 x) y)
(fma.f64 1 y (log1p.f64 x))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (log1p.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) y)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (log1p.f64 x))
Outputs
y
(+.f64 y (*.f64 -1 x))
(+.f64 y (neg.f64 x))
(-.f64 y x)
(+.f64 y (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 y (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) y) x)
(+.f64 y (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))))
(+.f64 y (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -1/3 (pow.f64 x 3)))))
(+.f64 y (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x))))
(fma.f64 x (*.f64 x -1/2) (-.f64 (fma.f64 -1/3 (pow.f64 x 3) y) x))
(+.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)))
(+.f64 y (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)))
(+.f64 y (+.f64 (log.f64 x) (log.f64 -1)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1))) (/.f64 1 x))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 y (log.f64 -1))) (/.f64 1 x))
(+.f64 (+.f64 y (log.f64 x)) (-.f64 (log.f64 -1) (/.f64 1 x)))
(+.f64 (log.f64 x) (+.f64 y (+.f64 (log.f64 -1) (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 y (log.f64 -1))) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (+.f64 (+.f64 y (log.f64 -1)) (-.f64 (log.f64 x) (/.f64 1/2 (*.f64 x x)))) (/.f64 -1 x))
(+.f64 y (+.f64 (+.f64 (log.f64 x) (log.f64 -1)) (+.f64 (/.f64 -1 x) (/.f64 -1/2 (*.f64 x x)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 y (log.f64 -1))) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (+.f64 (+.f64 (+.f64 y (log.f64 -1)) (-.f64 (log.f64 x) (/.f64 1/2 (*.f64 x x)))) (/.f64 -1 x)) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1) (+.f64 (-.f64 (+.f64 y (/.f64 -1 x)) (/.f64 1/3 (pow.f64 x 3))) (/.f64 -1/2 (*.f64 x x)))))
(+.f64 y (-.f64 (+.f64 (+.f64 (log.f64 x) (log.f64 -1)) (+.f64 (/.f64 -1 x) (/.f64 -1/2 (*.f64 x x)))) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y)
(fma.f64 -1 (log.f64 (/.f64 -1 x)) y)
(-.f64 y (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) (/.f64 1 x))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) y) (/.f64 1 x))
(+.f64 (-.f64 y (log.f64 (/.f64 -1 x))) (/.f64 -1 x))
(+.f64 y (-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) y) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(-.f64 (-.f64 y (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (-.f64 y (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 -1 x) (/.f64 -1/2 (*.f64 x x))))
(+.f64 y (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1/2 (*.f64 x x))) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) y) (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))
(-.f64 (-.f64 y (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (+.f64 (-.f64 (+.f64 y (/.f64 -1 x)) (/.f64 1/3 (pow.f64 x 3))) (/.f64 -1/2 (*.f64 x x))) (log.f64 (/.f64 -1 x)))
(+.f64 (-.f64 (+.f64 y (/.f64 -1 x)) (/.f64 1/3 (pow.f64 x 3))) (-.f64 (/.f64 -1/2 (*.f64 x x)) (log.f64 (/.f64 -1 x))))
(log.f64 (-.f64 1 x))
(log1p.f64 (neg.f64 x))
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 y (log1p.f64 (neg.f64 x)))
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 y (log1p.f64 (neg.f64 x)))
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 y (log1p.f64 (neg.f64 x)))
y
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 y (log1p.f64 (neg.f64 x)))
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 y (log1p.f64 (neg.f64 x)))
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 y (log1p.f64 (neg.f64 x)))
y
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 y (log1p.f64 (neg.f64 x)))
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 y (log1p.f64 (neg.f64 x)))
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 y (log1p.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 x) y))) 1)
(+.f64 y (log1p.f64 x))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (log1p.f64 x) y)) (/.f64 (*.f64 y y) (-.f64 (log1p.f64 x) y)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y y)) (-.f64 (log1p.f64 x) y))
(*.f64 (+.f64 (log1p.f64 x) y) 1)
(+.f64 y (log1p.f64 x))
(*.f64 1 (+.f64 (log1p.f64 x) y))
(+.f64 y (log1p.f64 x))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 x) y)) (sqrt.f64 (+.f64 (log1p.f64 x) y)))
(+.f64 y (log1p.f64 x))
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 x) y)) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 x) y)) 2))
(+.f64 y (log1p.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 x) y)) 2) (cbrt.f64 (+.f64 (log1p.f64 x) y)))
(+.f64 y (log1p.f64 x))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y y)) (/.f64 1 (-.f64 (log1p.f64 x) y)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y y)) (-.f64 (log1p.f64 x) y))
(*.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y (-.f64 y (log1p.f64 x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 y 3)) 1) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y (-.f64 y (log1p.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 y 3)) (fma.f64 y (-.f64 y (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)))
(/.f64 1 (/.f64 (-.f64 (log1p.f64 x) y) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y y)) (-.f64 (log1p.f64 x) y))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y (-.f64 y (log1p.f64 x)))) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 y 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 y 3)) 1) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y (-.f64 y (log1p.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 y 3)) (fma.f64 y (-.f64 y (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y y)) (-.f64 (log1p.f64 x) y))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y (-.f64 y (log1p.f64 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 y 3)) 1) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y (-.f64 y (log1p.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 y 3)) (fma.f64 y (-.f64 y (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 y 3)) (+.f64 (*.f64 y y) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 y 3)) 1) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y (-.f64 y (log1p.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 y 3)) (fma.f64 y (-.f64 y (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (log1p.f64 x) 2)) (-.f64 y (log1p.f64 x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y y)) (-.f64 (log1p.f64 x) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y y))) (neg.f64 (-.f64 (log1p.f64 x) y)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y y)) (-.f64 (log1p.f64 x) y))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y (-.f64 y (log1p.f64 x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 y 3)) 1) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y (-.f64 y (log1p.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 y 3)) (fma.f64 y (-.f64 y (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)))
(pow.f64 (+.f64 (log1p.f64 x) y) 1)
(+.f64 y (log1p.f64 x))
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 x) y)) 2)
(+.f64 y (log1p.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 x) y)) 3)
(+.f64 y (log1p.f64 x))
(pow.f64 (pow.f64 (+.f64 (log1p.f64 x) y) 3) 1/3)
(+.f64 y (log1p.f64 x))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 x) y) 2))
(+.f64 y (log1p.f64 x))
(log.f64 (exp.f64 (+.f64 (log1p.f64 x) y)))
(+.f64 y (log1p.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 x) y))))
(+.f64 y (log1p.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 x) y) 3))
(+.f64 y (log1p.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 x) y)))
(+.f64 y (log1p.f64 x))
(exp.f64 (log.f64 (+.f64 (log1p.f64 x) y)))
(+.f64 y (log1p.f64 x))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 x) y)) 1))
(+.f64 y (log1p.f64 x))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 x) y)))
(+.f64 y (log1p.f64 x))
(fma.f64 1 (log1p.f64 x) y)
(+.f64 y (log1p.f64 x))
(fma.f64 1 y (log1p.f64 x))
(+.f64 y (log1p.f64 x))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) y)
(+.f64 y (log1p.f64 x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (log1p.f64 x))
(+.f64 y (log1p.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) y)
(+.f64 y (log1p.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (log1p.f64 x))
(+.f64 y (log1p.f64 x))

localize5.0ms (0.1%)

Compiler

Compiled 13 to 6 computations (53.8% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 -1/2 (*.f64 x x))
4.5b
(+.f64 (/.f64 x y) (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y)))
19.8b
(/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y))
Compiler

Compiled 57 to 22 computations (61.4% saved)

series7.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(+.f64 (/.f64 x y) (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y)))
1.0ms
x
@0
(/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y))
1.0ms
y
@0
(/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y))
1.0ms
x
@inf
(/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y))
0.0ms
y
@inf
(/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y))

rewrite102.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
770×associate-/r/
706×distribute-lft-neg-in
610×distribute-rgt-in
568×distribute-lft-in
472×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01175
125563
2424163
Stop Event
node limit
Counts
3 → 181
Calls
Call 1
Inputs
(/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y)))
(*.f64 -1/2 (*.f64 x x))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)))) (-.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x y))) (-.f64 1 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (-.f64 x (*.f64 -1/2 (/.f64 x (/.f64 y x))))) y) (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 y 4)) (-.f64 x (*.f64 -1/2 (/.f64 x (/.f64 y x))))) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (exp.f64 (log1p.f64 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x y) (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (+.f64 (/.f64 (*.f64 -1/2 x) y) 1))))) 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simplify100.0ms (1.2%)

Algorithm
egg-herbie
Rules
1248×associate-*r*
910×associate-*l*
788×*-commutative
628×associate-/l*
598×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053711401
117359825
Stop Event
node limit
Counts
241 → 294
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(/.f64 x y)
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(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
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(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
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(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
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(/.f64 x y)
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(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(/.f64 x y)
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(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
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(*.f64 -1/2 (pow.f64 x 2))
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(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)))) 1)
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 -1/2 (*.f64 (*.f64 x x) (pow.f64 y -2)))
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(*.f64 (*.f64 (*.f64 x x) 1/2) (/.f64 1 (*.f64 y (neg.f64 y))))
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 -1/2 (*.f64 y y)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y 4))) (/.f64 (*.f64 -1/2 (*.f64 x x)) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 -1/2 (*.f64 y y)) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 y (neg.f64 y))) (*.f64 (*.f64 x x) 1/2))
(*.f64 (/.f64 -1/2 (cbrt.f64 (pow.f64 y 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 y 4))) (/.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 -1/2)) 1) (/.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 y y)) (*.f64 x (sqrt.f64 -1/2)))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 -1/2)) (cbrt.f64 (pow.f64 y 4))) (/.f64 (*.f64 x (sqrt.f64 -1/2)) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) y) (/.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) y))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 1) (/.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (*.f64 y y)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2))))
(*.f64 (/.f64 (*.f64 -1/2 x) y) (/.f64 x y))
(*.f64 (/.f64 (*.f64 -1/2 x) 1) (/.f64 x (*.f64 y y)))
(*.f64 (/.f64 (*.f64 -1/2 x) (cbrt.f64 (pow.f64 y 4))) (/.f64 x (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 -1/2 (*.f64 y (neg.f64 y))) (*.f64 (neg.f64 x) x))
(*.f64 (/.f64 -1/2 (/.f64 (*.f64 y y) x)) x)
(*.f64 (/.f64 -1/2 (/.f64 (*.f64 y y) 1)) (*.f64 x x))
(*.f64 (/.f64 -1/2 (/.f64 (*.f64 y y) (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 1 (/.f64 (*.f64 y y) -1/2)) (*.f64 x x))
(*.f64 (/.f64 1 (/.f64 (*.f64 y y) (*.f64 x (sqrt.f64 -1/2)))) (*.f64 x (sqrt.f64 -1/2)))
(*.f64 (/.f64 1 (/.f64 (*.f64 y y) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))) (cbrt.f64 (*.f64 -1/2 (*.f64 x x))))
(*.f64 (/.f64 1 (/.f64 (*.f64 y y) (*.f64 -1/2 x))) x)
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 y y)) (cbrt.f64 (*.f64 -1/2 (*.f64 x x))))
(*.f64 (/.f64 (*.f64 -1/2 x) (*.f64 y y)) x)
(pow.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) 1)
(pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/2)) y) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2))) 3)
(pow.f64 (/.f64 y (*.f64 -1/2 (/.f64 x (/.f64 y x)))) -1)
(pow.f64 (pow.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) 3) 1/3)
(neg.f64 (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y (neg.f64 y))))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 y 4)))
(log.f64 (exp.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)))))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)))) (-.f64 1 (/.f64 x y)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) 3))) (neg.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 y 4)) (-.f64 (*.f64 (pow.f64 (/.f64 x y) 3) -1/2) (pow.f64 (/.f64 x y) 2)))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 y y) (*.f64 y (*.f64 -1/2 x))))) (neg.f64 (pow.f64 y 3)))
(pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 x y)) 1)
(pow.f64 (hypot.f64 (/.f64 (*.f64 x (sqrt.f64 -1/2)) y) (sqrt.f64 (/.f64 x y))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 x y))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 x y)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 x y)) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 x y)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 x y)) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 x y))))
(exp.f64 (log.f64 (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 x y))) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 x y))))
(fma.f64 x (/.f64 1 y) (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)))
(fma.f64 (*.f64 -1/2 (*.f64 x x)) (pow.f64 y -2) (/.f64 x y))
(fma.f64 1 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 x y))
(fma.f64 1 (/.f64 x y) (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)))
(fma.f64 (/.f64 (*.f64 x (sqrt.f64 -1/2)) y) (/.f64 (*.f64 x (sqrt.f64 -1/2)) y) (/.f64 x y))
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2))) (/.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)))
(fma.f64 (/.f64 -1/2 y) (/.f64 x (/.f64 y x)) (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) 1)
(pow.f64 (*.f64 -1/2 (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) 1/3)
(neg.f64 (*.f64 (*.f64 x x) 1/2))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))
Outputs
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)))) 1)
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (*.f64 (*.f64 x x) (pow.f64 y -2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 (*.f64 x x) (*.f64 -1/2 (pow.f64 y -2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 (*.f64 -1/2 (*.f64 x x)) (pow.f64 y -2))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) 1)
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 1 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 -1/2)) y) (/.f64 (*.f64 x (sqrt.f64 -1/2)) y))
(pow.f64 (/.f64 x (/.f64 y (sqrt.f64 -1/2))) 2)
(pow.f64 (*.f64 (/.f64 x y) (sqrt.f64 -1/2)) 2)
(*.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 (*.f64 x (sqrt.f64 -1/2)) (pow.f64 y -2)))
(pow.f64 (/.f64 x (/.f64 y (sqrt.f64 -1/2))) 2)
(pow.f64 (*.f64 (/.f64 x y) (sqrt.f64 -1/2)) 2)
(*.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2))) 2))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2))))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (pow.f64 y -2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 (pow.f64 y -2) (cbrt.f64 (*.f64 -1/2 (*.f64 x x)))))
(*.f64 (pow.f64 y -2) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 x y) 2) -1/2)
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 (*.f64 -1/2 x) (*.f64 x (pow.f64 y -2)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 (*.f64 -1/2 (/.f64 x (/.f64 y x))) (/.f64 1 y))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 (pow.f64 y -2) (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 1 y) (*.f64 -1/2 (/.f64 x (/.f64 y x))))
(*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -1/2 (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 -1/2 y) (/.f64 x (/.f64 y x)))
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(/.f64 (neg.f64 (*.f64 y (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x))) (*.f64 y (neg.f64 y)))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) y) (*.f64 (*.f64 y (neg.f64 y)) x)) (neg.f64 (pow.f64 y 3)))
(/.f64 (fma.f64 (*.f64 -1/2 (*.f64 x x)) (neg.f64 y) (*.f64 y (neg.f64 (*.f64 x y)))) (neg.f64 (pow.f64 y 3)))
(*.f64 1 (*.f64 (*.f64 y (+.f64 y (*.f64 -1/2 x))) (/.f64 x (pow.f64 y 3))))
(/.f64 (+.f64 (*.f64 y (neg.f64 y)) (*.f64 (*.f64 (*.f64 x x) 1/2) (/.f64 y x))) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 y x)))
(/.f64 (fma.f64 y (neg.f64 y) (*.f64 (*.f64 x x) (*.f64 1/2 (/.f64 y x)))) (/.f64 (neg.f64 (pow.f64 y 3)) x))
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x 1/2) (/.f64 y x))) (*.f64 y y)) (neg.f64 (pow.f64 y 3))) x)
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (neg.f64 y)) (*.f64 (*.f64 y (neg.f64 y)) (neg.f64 x))) (*.f64 (*.f64 y (neg.f64 y)) (neg.f64 y)))
(*.f64 x (*.f64 (*.f64 y (+.f64 y (*.f64 -1/2 x))) (/.f64 1 (pow.f64 y 3))))
(*.f64 (*.f64 y (+.f64 y (*.f64 -1/2 x))) (/.f64 x (pow.f64 y 3)))
(/.f64 (+.f64 (*.f64 y -1/2) (*.f64 x (*.f64 (/.f64 y x) (/.f64 y x)))) (*.f64 y (*.f64 (/.f64 y x) (/.f64 y x))))
(/.f64 (fma.f64 -1/2 y (*.f64 x (*.f64 (/.f64 y x) (/.f64 y x)))) (*.f64 y (*.f64 (/.f64 y x) (/.f64 y x))))
(/.f64 (fma.f64 -1/2 y (*.f64 x (*.f64 (/.f64 y x) (/.f64 y x)))) (/.f64 (/.f64 (pow.f64 y 3) x) x))
(/.f64 (+.f64 y (*.f64 x (/.f64 y (*.f64 -1/2 (/.f64 x (/.f64 y x)))))) (*.f64 y (/.f64 y (*.f64 -1/2 (/.f64 x (/.f64 y x))))))
(/.f64 (+.f64 y (/.f64 (*.f64 x y) (*.f64 -1/2 (*.f64 (/.f64 x y) x)))) (/.f64 (*.f64 y y) (*.f64 -1/2 (*.f64 (/.f64 x y) x))))
(/.f64 (+.f64 y (/.f64 x (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)))) (/.f64 y (*.f64 -1/2 (pow.f64 (/.f64 x y) 2))))
(/.f64 (+.f64 (*.f64 x y) (*.f64 y (*.f64 -1/2 (/.f64 x (/.f64 y x))))) (*.f64 y y))
(/.f64 (fma.f64 (*.f64 -1/2 (*.f64 (/.f64 x y) x)) y (*.f64 x y)) (*.f64 y y))
(/.f64 (*.f64 y (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x)) (*.f64 y y))
(/.f64 (+.f64 (*.f64 x (*.f64 y (neg.f64 y))) (*.f64 y (*.f64 (*.f64 x x) 1/2))) (*.f64 y (*.f64 y (neg.f64 y))))
(/.f64 (fma.f64 (*.f64 -1/2 (*.f64 x x)) (neg.f64 y) (*.f64 y (neg.f64 (*.f64 x y)))) (neg.f64 (pow.f64 y 3)))
(*.f64 1 (*.f64 (*.f64 y (+.f64 y (*.f64 -1/2 x))) (/.f64 x (pow.f64 y 3))))
(/.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1/2)) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))
(/.f64 (/.f64 y x) (/.f64 (pow.f64 (/.f64 y x) 3) (+.f64 -1/2 (/.f64 y x))))
(*.f64 (/.f64 (+.f64 -1/2 (/.f64 y x)) (*.f64 y (/.f64 y x))) x)
(/.f64 (+.f64 (*.f64 y y) (*.f64 (/.f64 y x) (*.f64 -1/2 (*.f64 x x)))) (*.f64 (/.f64 y x) (*.f64 y y)))
(/.f64 (fma.f64 y y (*.f64 -1/2 (*.f64 (*.f64 x x) (/.f64 y x)))) (/.f64 (pow.f64 y 3) x))
(/.f64 (fma.f64 -1/2 (*.f64 (*.f64 x x) (/.f64 y x)) (*.f64 y y)) (/.f64 (pow.f64 y 3) x))
(/.f64 (+.f64 (/.f64 y (*.f64 -1/2 (/.f64 x (/.f64 y x)))) (*.f64 (/.f64 y x) 1)) (*.f64 (/.f64 y x) (/.f64 y (*.f64 -1/2 (/.f64 x (/.f64 y x))))))
(/.f64 (+.f64 (/.f64 y x) (/.f64 y (*.f64 -1/2 (*.f64 (/.f64 x y) x)))) (/.f64 (*.f64 y (/.f64 y x)) (*.f64 -1/2 (*.f64 (/.f64 x y) x))))
(/.f64 (+.f64 (/.f64 y x) (*.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2)) (/.f64 (pow.f64 (/.f64 y x) 3) -1/2))
(/.f64 (+.f64 y (*.f64 (/.f64 y x) (*.f64 -1/2 (/.f64 x (/.f64 y x))))) (*.f64 (/.f64 y x) y))
(/.f64 (+.f64 y (*.f64 -1/2 (*.f64 (*.f64 (/.f64 x y) x) (/.f64 y x)))) (*.f64 y (/.f64 y x)))
(*.f64 (/.f64 (fma.f64 (/.f64 y x) (*.f64 x (/.f64 -1/2 (/.f64 y x))) y) y) (/.f64 x y))
(/.f64 (+.f64 (*.f64 y (neg.f64 y)) (*.f64 (/.f64 y x) (*.f64 (*.f64 x x) 1/2))) (*.f64 (/.f64 y x) (*.f64 y (neg.f64 y))))
(/.f64 (fma.f64 y (neg.f64 y) (*.f64 (*.f64 x x) (*.f64 1/2 (/.f64 y x)))) (/.f64 (neg.f64 (pow.f64 y 3)) x))
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x 1/2) (/.f64 y x))) (*.f64 y y)) (neg.f64 (pow.f64 y 3))) x)
(/.f64 (+.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 (neg.f64 y) -1/2)) (*.f64 (neg.f64 y) (*.f64 (/.f64 y x) (/.f64 y x))))
(/.f64 (fma.f64 -1/2 (neg.f64 y) (*.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 y x)))) (*.f64 (neg.f64 y) (*.f64 (/.f64 y x) (/.f64 y x))))
(/.f64 (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 y x)) (*.f64 y 1/2)) (neg.f64 (/.f64 (/.f64 (pow.f64 y 3) x) x)))
(/.f64 (+.f64 (*.f64 (neg.f64 x) (*.f64 y y)) (*.f64 (neg.f64 y) (*.f64 -1/2 (*.f64 x x)))) (neg.f64 (pow.f64 y 3)))
(/.f64 (fma.f64 (*.f64 -1/2 (*.f64 x x)) (neg.f64 y) (*.f64 y (neg.f64 (*.f64 x y)))) (neg.f64 (pow.f64 y 3)))
(*.f64 1 (*.f64 (*.f64 y (+.f64 y (*.f64 -1/2 x))) (/.f64 x (pow.f64 y 3))))
(/.f64 (+.f64 (neg.f64 y) (*.f64 (neg.f64 x) (/.f64 y (*.f64 -1/2 (/.f64 x (/.f64 y x)))))) (*.f64 (neg.f64 y) (/.f64 y (*.f64 -1/2 (/.f64 x (/.f64 y x))))))
(/.f64 (+.f64 (neg.f64 y) (*.f64 (neg.f64 x) (/.f64 y (*.f64 -1/2 (*.f64 (/.f64 x y) x))))) (*.f64 (neg.f64 y) (/.f64 y (*.f64 -1/2 (*.f64 (/.f64 x y) x)))))
(/.f64 (-.f64 (neg.f64 y) (/.f64 x (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)))) (/.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 (/.f64 x y) 2))))
(/.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) (*.f64 -1/2 (/.f64 x (/.f64 y x))))) (*.f64 y (neg.f64 y)))
(/.f64 (fma.f64 (*.f64 -1/2 (*.f64 (/.f64 x y) x)) (neg.f64 y) (neg.f64 (*.f64 x y))) (*.f64 y (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 y (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x))) (*.f64 y (neg.f64 y)))
(/.f64 (+.f64 (*.f64 (neg.f64 x) (*.f64 y (neg.f64 y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 x x) 1/2))) (*.f64 (neg.f64 y) (*.f64 y (neg.f64 y))))
(*.f64 x (*.f64 (*.f64 y (+.f64 y (*.f64 -1/2 x))) (/.f64 1 (pow.f64 y 3))))
(*.f64 (*.f64 y (+.f64 y (*.f64 -1/2 x))) (/.f64 x (pow.f64 y 3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (/.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 y 4)))) (neg.f64 (+.f64 (/.f64 x y) (*.f64 1/2 (pow.f64 (/.f64 x y) 2)))))
(/.f64 (-.f64 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) 1/4)) (pow.f64 (/.f64 x y) 2)) (-.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 x y)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/4) (pow.f64 (/.f64 x y) 2)) (fma.f64 -1/2 (pow.f64 (/.f64 x y) 2) (/.f64 (neg.f64 x) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) 3))) (neg.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 y 4)) (-.f64 (*.f64 (pow.f64 (/.f64 x y) 3) -1/2) (pow.f64 (/.f64 x y) 2)))))
(/.f64 (neg.f64 (+.f64 (*.f64 -1/8 (pow.f64 (pow.f64 (/.f64 x y) 2) 3)) (pow.f64 (/.f64 x y) 3))) (neg.f64 (+.f64 (-.f64 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) 1/4)) (*.f64 -1/2 (pow.f64 (/.f64 x y) 3))) (pow.f64 (/.f64 x y) 2))))
(*.f64 1 (/.f64 (fma.f64 -1/8 (pow.f64 (/.f64 x y) 6) (pow.f64 (/.f64 x y) 3)) (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/4) (*.f64 1/2 (pow.f64 (/.f64 x y) 3))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 y y) (*.f64 y (*.f64 -1/2 x))))) (neg.f64 (pow.f64 y 3)))
(/.f64 (fma.f64 (*.f64 -1/2 (*.f64 x x)) (neg.f64 y) (*.f64 y (neg.f64 (*.f64 x y)))) (neg.f64 (pow.f64 y 3)))
(*.f64 1 (*.f64 (*.f64 y (+.f64 y (*.f64 -1/2 x))) (/.f64 x (pow.f64 y 3))))
(pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 x y)) 1)
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(pow.f64 (hypot.f64 (/.f64 (*.f64 x (sqrt.f64 -1/2)) y) (sqrt.f64 (/.f64 x y))) 2)
(pow.f64 (hypot.f64 (/.f64 x (/.f64 y (sqrt.f64 -1/2))) (sqrt.f64 (/.f64 x y))) 2)
(pow.f64 (hypot.f64 (*.f64 (/.f64 x y) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 x y))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 x y))) 3)
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 x y)) 3) 1/3)
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 x y)) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 x y) 2) (/.f64 x y)) 2))
(fabs.f64 (/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y))
(log.f64 (exp.f64 (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 x y))))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 x y)))))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(cbrt.f64 (pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 x y)) 3))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(expm1.f64 (log1p.f64 (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 x y))))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(exp.f64 (log.f64 (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 x y))))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 x y))) 1))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(log1p.f64 (expm1.f64 (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 x y))))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(fma.f64 x (/.f64 1 y) (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(fma.f64 (*.f64 -1/2 (*.f64 x x)) (pow.f64 y -2) (/.f64 x y))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(fma.f64 1 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)) (/.f64 x y))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(fma.f64 1 (/.f64 x y) (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(fma.f64 (/.f64 (*.f64 x (sqrt.f64 -1/2)) y) (/.f64 (*.f64 x (sqrt.f64 -1/2)) y) (/.f64 x y))
(+.f64 (pow.f64 (/.f64 x (/.f64 y (sqrt.f64 -1/2))) 2) (/.f64 x y))
(+.f64 (/.f64 x y) (pow.f64 (*.f64 (/.f64 x y) (sqrt.f64 -1/2)) 2))
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 2))) (/.f64 x y))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) (*.f64 -1/2 (pow.f64 (/.f64 x y) 2)))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(fma.f64 (/.f64 -1/2 y) (/.f64 x (/.f64 y x)) (/.f64 x y))
(+.f64 (*.f64 x (*.f64 (/.f64 -1/2 y) (/.f64 x y))) (/.f64 x y))
(/.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x y)) x) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) 1)
(*.f64 -1/2 (*.f64 x x))
(pow.f64 (*.f64 -1/2 (*.f64 x x)) 1)
(*.f64 -1/2 (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 3)
(*.f64 -1/2 (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) 1/3)
(*.f64 -1/2 (*.f64 x x))
(neg.f64 (*.f64 (*.f64 x x) 1/2))
(*.f64 -1/2 (*.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))
(*.f64 -1/2 (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))))
(*.f64 -1/2 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3))
(*.f64 -1/2 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))))
(*.f64 -1/2 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 x x))))
(*.f64 -1/2 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 x x))) 1))
(*.f64 -1/2 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))
(*.f64 -1/2 (*.f64 x x))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
10.0b
(log.f64 (/.f64 x y))
Compiler

Compiled 18 to 7 computations (61.1% saved)

series110.0ms (1.3%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
50.0ms
y
@-inf
(log.f64 (/.f64 x y))
19.0ms
y
@0
(log.f64 (/.f64 x y))
13.0ms
x
@0
(log.f64 (/.f64 x y))
13.0ms
x
@-inf
(log.f64 (/.f64 x y))
7.0ms
x
@inf
(log.f64 (/.f64 x y))

rewrite53.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1432×add-sqr-sqrt
1420×*-un-lft-identity
1316×add-cube-cbrt
1298×add-cbrt-cube
1284×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
113911
2175011
Stop Event
node limit
Counts
1 → 27
Calls
Call 1
Inputs
(log.f64 (/.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (log.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 x y))) (log.f64 (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 x) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 x y))) (sqrt.f64 (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 2) (cbrt.f64 (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 y) (log.f64 y))) (+.f64 (log.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (+.f64 (*.f64 (log.f64 y) (log.f64 y)) (*.f64 (log.f64 x) (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 x y) 1))))))

simplify51.0ms (0.6%)

Algorithm
egg-herbie
Rules
1042×associate-*r*
836×*-commutative
770×associate-*l*
498×associate-+l-
424×associate-+r-
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
093815
1202785
2706785
33874765
Stop Event
node limit
Counts
51 → 43
Calls
Call 1
Inputs
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))
(+.f64 (log.f64 x) (log.f64 (/.f64 1 y)))
(+.f64 (log.f64 x) (neg.f64 (log.f64 y)))
(+.f64 0 (log.f64 (/.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 x y))) (log.f64 (sqrt.f64 (/.f64 x y))))
(-.f64 (log.f64 x) (log.f64 y))
(-.f64 0 (log.f64 (/.f64 y x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))
(-.f64 (+.f64 1 (log.f64 (/.f64 x y))) 1)
(*.f64 (log.f64 (/.f64 x y)) 1)
(*.f64 1 (log.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 x y))) (sqrt.f64 (log.f64 (/.f64 x y))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 2) (cbrt.f64 (log.f64 (/.f64 x y))))
(/.f64 (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 y) (log.f64 y))) (+.f64 (log.f64 x) (log.f64 y)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (+.f64 (*.f64 (log.f64 y) (log.f64 y)) (*.f64 (log.f64 x) (log.f64 y)))))
(pow.f64 (log.f64 (/.f64 x y)) 1)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x y))) 2)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) 1/3)
(neg.f64 (log.f64 (/.f64 y x)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x y))))
(exp.f64 (log.f64 (log.f64 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 x y))) 1))
(log1p.f64 (-.f64 (/.f64 x y) 1))
Outputs
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(log.f64 (/.f64 x y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(log.f64 (/.f64 x y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(log.f64 (/.f64 x y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(log.f64 (/.f64 x y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y)))
(-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y)))
(-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y)))
(-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y)))
(-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(log.f64 (/.f64 x y))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 x) (log.f64 (/.f64 1 y)))
(log.f64 (/.f64 x y))
(+.f64 (log.f64 x) (neg.f64 (log.f64 y)))
(log.f64 (/.f64 x y))
(+.f64 0 (log.f64 (/.f64 x y)))
(log.f64 (/.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y)))) (log.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3)
(+.f64 (log.f64 (sqrt.f64 (/.f64 x y))) (log.f64 (sqrt.f64 (/.f64 x y))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 x y))))
(-.f64 (log.f64 x) (log.f64 y))
(log.f64 (/.f64 x y))
(-.f64 0 (log.f64 (/.f64 y x)))
(log.f64 (/.f64 x y))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y)))
(-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 1 (log.f64 (/.f64 x y))) 1)
(log.f64 (/.f64 x y))
(*.f64 (log.f64 (/.f64 x y)) 1)
(log.f64 (/.f64 x y))
(*.f64 1 (log.f64 (/.f64 x y)))
(log.f64 (/.f64 x y))
(*.f64 (sqrt.f64 (log.f64 (/.f64 x y))) (sqrt.f64 (log.f64 (/.f64 x y))))
(log.f64 (/.f64 x y))
(*.f64 (cbrt.f64 (log.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 2))
(log.f64 (/.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 2) (cbrt.f64 (log.f64 (/.f64 x y))))
(log.f64 (/.f64 x y))
(/.f64 (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 y) (log.f64 y))) (+.f64 (log.f64 x) (log.f64 y)))
(log.f64 (/.f64 x y))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (+.f64 (*.f64 (log.f64 y) (log.f64 y)) (*.f64 (log.f64 x) (log.f64 y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 y) 3)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 y) (+.f64 (log.f64 x) (log.f64 y)))))
(pow.f64 (log.f64 (/.f64 x y)) 1)
(log.f64 (/.f64 x y))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x y))) 2)
(log.f64 (/.f64 x y))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 3)
(log.f64 (/.f64 x y))
(pow.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) 1/3)
(log.f64 (/.f64 x y))
(neg.f64 (log.f64 (/.f64 y x)))
(log.f64 (/.f64 x y))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 2))
(log.f64 (/.f64 x y))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))
(log.f64 (/.f64 x y))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x y))))
(log.f64 (/.f64 x y))
(exp.f64 (log.f64 (log.f64 (/.f64 x y))))
(log.f64 (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 x y))) 1))
(log.f64 (/.f64 x y))
(log1p.f64 (-.f64 (/.f64 x y) 1))
(log1p.f64 (+.f64 (/.f64 x y) -1))
(log1p.f64 (+.f64 -1 (/.f64 x y)))

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))
0.2b
(log.f64 (/.f64 -1 y))
Compiler

Compiled 33 to 25 computations (24.2% saved)

series7.0ms (0.1%)

Counts
2 → 17
Calls

6 calls:

TimeVariablePointExpression
6.0ms
y
@inf
(log.f64 (/.f64 -1 y))
0.0ms
y
@0
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))
0.0ms
y
@0
(log.f64 (/.f64 -1 y))
0.0ms
y
@inf
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))
0.0ms
y
@-inf
(log.f64 (/.f64 -1 y))

rewrite74.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1780×add-sqr-sqrt
1758×*-un-lft-identity
1640×add-cube-cbrt
1624×add-cbrt-cube
194×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01034
120530
2252730
Stop Event
node limit
Counts
2 → 66
Calls
Call 1
Inputs
(log.f64 (/.f64 -1 y))
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 -1) (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 y -1/2)) (log.f64 (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 y -2))) (log.f64 (/.f64 -1 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (log.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (log.f64 y))) (sqrt.f64 (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 y))) 2) (cbrt.f64 (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 -1) (log.f64 -1)) (*.f64 (log.f64 y) (log.f64 y))) (+.f64 (log.f64 -1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (*.f64 (log.f64 -1) (log.f64 -1)) (+.f64 (*.f64 (log.f64 y) (log.f64 y)) (*.f64 (log.f64 -1) (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (log.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (-.f64 (log.f64 y) (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 -1 y) (log.f64 -1)) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 y -2) (-.f64 (/.f64 -1 y) (neg.f64 (log.f64 y)))) (/.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (-.f64 (/.f64 -1 y) (neg.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))) (sqrt.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))) (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))) 2) (cbrt.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 y -2) (pow.f64 (neg.f64 (log.f64 y)) 2)) (/.f64 1 (-.f64 (/.f64 -1 y) (neg.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y -3) (pow.f64 (neg.f64 (log.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 y -2) (+.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (/.f64 (neg.f64 (log.f64 y)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (/.f64 -1 y) (neg.f64 (log.f64 y))) (-.f64 (pow.f64 y -2) (pow.f64 (neg.f64 (log.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 y -2) (+.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (/.f64 (neg.f64 (log.f64 y)) y))) (+.f64 (pow.f64 y -3) (pow.f64 (neg.f64 (log.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y -2) (pow.f64 (neg.f64 (log.f64 y)) 2)) (-.f64 (/.f64 -1 y) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y -3) (pow.f64 (neg.f64 (log.f64 y)) 3)) (+.f64 (pow.f64 y -2) (+.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (/.f64 (neg.f64 (log.f64 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y -3) (pow.f64 (neg.f64 (log.f64 y)) 3)) (+.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (-.f64 (pow.f64 y -2) (/.f64 (neg.f64 (log.f64 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (pow.f64 y -2)) (-.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 y -2) (pow.f64 (neg.f64 (log.f64 y)) 2))) (neg.f64 (-.f64 (/.f64 -1 y) (neg.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y -3) (pow.f64 (neg.f64 (log.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 y -2) (+.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (/.f64 (neg.f64 (log.f64 y)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 -1 y) (exp.f64 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (log.f64 y)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 y) (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (log.f64 y))) (sqrt.f64 (neg.f64 (log.f64 y))) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 -1 (cbrt.f64 y)) (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 y))) 2) (cbrt.f64 (neg.f64 (log.f64 y))) (/.f64 -1 y))))))

simplify53.0ms (0.6%)

Algorithm
egg-herbie
Rules
1182×fma-def
872×distribute-lft-in
838×distribute-rgt-in
786×associate-/l*
696×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01581983
13591781
215601761
Stop Event
node limit
Counts
83 → 91
Calls
Call 1
Inputs
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))))
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))))
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))
(log.f64 (/.f64 -1 y))
(+.f64 0 (neg.f64 (log.f64 y)))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))
(+.f64 (log.f64 (pow.f64 y -1/2)) (log.f64 (pow.f64 y -1/2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 y -2))) (log.f64 (/.f64 -1 (cbrt.f64 y))))
(-.f64 0 (log.f64 y))
(-.f64 0 (log.f64 (neg.f64 y)))
(-.f64 (log.f64 -1) (log.f64 y))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 y)))) 1)
(*.f64 -1 (log.f64 y))
(*.f64 (neg.f64 (log.f64 y)) 1)
(*.f64 1 (neg.f64 (log.f64 y)))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 y))) (sqrt.f64 (neg.f64 (log.f64 y))))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 y))) 2) (cbrt.f64 (neg.f64 (log.f64 y))))
(/.f64 (-.f64 (*.f64 (log.f64 -1) (log.f64 -1)) (*.f64 (log.f64 y) (log.f64 y))) (+.f64 (log.f64 -1) (log.f64 y)))
(/.f64 (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (*.f64 (log.f64 -1) (log.f64 -1)) (+.f64 (*.f64 (log.f64 y) (log.f64 y)) (*.f64 (log.f64 -1) (log.f64 y)))))
(pow.f64 (neg.f64 (log.f64 y)) 1)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 y))) 2)
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 y))) 3)
(pow.f64 (pow.f64 (neg.f64 (log.f64 y)) 3) 1/3)
(neg.f64 (log.f64 y))
(neg.f64 (log.f64 (neg.f64 y)))
(sqrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 3))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 y))))
(exp.f64 (log.f64 (neg.f64 (log.f64 y))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 y))) 1))
(log1p.f64 (expm1.f64 (neg.f64 (log.f64 y))))
(-.f64 (log.f64 -1) (-.f64 (log.f64 y) (/.f64 -1 y)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y)))) 1)
(-.f64 (+.f64 (/.f64 -1 y) (log.f64 -1)) (log.f64 y))
(-.f64 (/.f64 (pow.f64 y -2) (-.f64 (/.f64 -1 y) (neg.f64 (log.f64 y)))) (/.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (-.f64 (/.f64 -1 y) (neg.f64 (log.f64 y)))))
(*.f64 1 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y)))
(*.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y)) 1)
(*.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))) (sqrt.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))))
(*.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))) (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))) 2) (cbrt.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))))
(*.f64 (-.f64 (pow.f64 y -2) (pow.f64 (neg.f64 (log.f64 y)) 2)) (/.f64 1 (-.f64 (/.f64 -1 y) (neg.f64 (log.f64 y)))))
(*.f64 (+.f64 (pow.f64 y -3) (pow.f64 (neg.f64 (log.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 y -2) (+.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (/.f64 (neg.f64 (log.f64 y)) y)))))
(/.f64 1 (/.f64 (-.f64 (/.f64 -1 y) (neg.f64 (log.f64 y))) (-.f64 (pow.f64 y -2) (pow.f64 (neg.f64 (log.f64 y)) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 y -2) (+.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (/.f64 (neg.f64 (log.f64 y)) y))) (+.f64 (pow.f64 y -3) (pow.f64 (neg.f64 (log.f64 y)) 3))))
(/.f64 (-.f64 (pow.f64 y -2) (pow.f64 (neg.f64 (log.f64 y)) 2)) (-.f64 (/.f64 -1 y) (neg.f64 (log.f64 y))))
(/.f64 (+.f64 (pow.f64 y -3) (pow.f64 (neg.f64 (log.f64 y)) 3)) (+.f64 (pow.f64 y -2) (+.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (/.f64 (neg.f64 (log.f64 y)) y))))
(/.f64 (+.f64 (pow.f64 y -3) (pow.f64 (neg.f64 (log.f64 y)) 3)) (+.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (-.f64 (pow.f64 y -2) (/.f64 (neg.f64 (log.f64 y)) y))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (pow.f64 y -2)) (-.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y -2) (pow.f64 (neg.f64 (log.f64 y)) 2))) (neg.f64 (-.f64 (/.f64 -1 y) (neg.f64 (log.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y -3) (pow.f64 (neg.f64 (log.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 y -2) (+.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (/.f64 (neg.f64 (log.f64 y)) y)))))
(pow.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y)) 1)
(pow.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))) 2)
(pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))) 3)
(pow.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y)) 2))
(log.f64 (*.f64 (/.f64 -1 y) (exp.f64 (/.f64 -1 y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y)))))
(cbrt.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y)) 3))
(expm1.f64 (log1p.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))))
(exp.f64 (log.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))))
(exp.f64 (*.f64 (log.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))) 1))
(log1p.f64 (expm1.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))))
(fma.f64 1 (neg.f64 (log.f64 y)) (/.f64 -1 y))
(fma.f64 1 (/.f64 -1 y) (neg.f64 (log.f64 y)))
(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (neg.f64 (log.f64 y)))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 y))) (sqrt.f64 (neg.f64 (log.f64 y))) (/.f64 -1 y))
(fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 -1 (cbrt.f64 y)) (neg.f64 (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 y))) 2) (cbrt.f64 (neg.f64 (log.f64 y))) (/.f64 -1 y))
Outputs
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))
(log.f64 (/.f64 -1 y))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))
(log.f64 (/.f64 -1 y))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))
(log.f64 (/.f64 -1 y))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))
(log.f64 (/.f64 -1 y))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))
(log.f64 (/.f64 -1 y))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))
(log.f64 (/.f64 -1 y))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))
(log.f64 (/.f64 -1 y))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))
(log.f64 (/.f64 -1 y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))))
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))))
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))))
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))
(log.f64 (/.f64 -1 y))
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))
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(/.f64 (-.f64 (pow.f64 y -2) (pow.f64 (neg.f64 (log.f64 y)) 2)) (-.f64 (/.f64 -1 y) (neg.f64 (log.f64 y))))
(/.f64 (-.f64 (pow.f64 y -2) (*.f64 (log.f64 y) (log.f64 y))) (+.f64 (log.f64 y) (/.f64 -1 y)))
(/.f64 (-.f64 (*.f64 (log.f64 y) (log.f64 y)) (pow.f64 y -2)) (-.f64 (/.f64 1 y) (log.f64 y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 y -2) (+.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (/.f64 (neg.f64 (log.f64 y)) y))) (+.f64 (pow.f64 y -3) (pow.f64 (neg.f64 (log.f64 y)) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 y)) 3) (pow.f64 y -3)) 1) (+.f64 (pow.f64 y -2) (+.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (/.f64 (neg.f64 (log.f64 y)) y))))
(/.f64 (-.f64 (pow.f64 y -3) (pow.f64 (log.f64 y) 3)) (-.f64 (+.f64 (pow.f64 y -2) (*.f64 (log.f64 y) (log.f64 y))) (/.f64 (log.f64 y) y)))
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(/.f64 (-.f64 (pow.f64 y -2) (pow.f64 (neg.f64 (log.f64 y)) 2)) (-.f64 (/.f64 -1 y) (neg.f64 (log.f64 y))))
(/.f64 (-.f64 (pow.f64 y -2) (*.f64 (log.f64 y) (log.f64 y))) (+.f64 (log.f64 y) (/.f64 -1 y)))
(/.f64 (-.f64 (*.f64 (log.f64 y) (log.f64 y)) (pow.f64 y -2)) (-.f64 (/.f64 1 y) (log.f64 y)))
(/.f64 (+.f64 (pow.f64 y -3) (pow.f64 (neg.f64 (log.f64 y)) 3)) (+.f64 (pow.f64 y -2) (+.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (/.f64 (neg.f64 (log.f64 y)) y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 y)) 3) (pow.f64 y -3)) 1) (+.f64 (pow.f64 y -2) (+.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (/.f64 (neg.f64 (log.f64 y)) y))))
(/.f64 (-.f64 (pow.f64 y -3) (pow.f64 (log.f64 y) 3)) (-.f64 (+.f64 (pow.f64 y -2) (*.f64 (log.f64 y) (log.f64 y))) (/.f64 (log.f64 y) y)))
(/.f64 (-.f64 (pow.f64 y -3) (pow.f64 (log.f64 y) 3)) (-.f64 (fma.f64 (log.f64 y) (log.f64 y) (pow.f64 y -2)) (/.f64 (log.f64 y) y)))
(/.f64 (+.f64 (pow.f64 y -3) (pow.f64 (neg.f64 (log.f64 y)) 3)) (+.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (-.f64 (pow.f64 y -2) (/.f64 (neg.f64 (log.f64 y)) y))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 y)) 3) (pow.f64 y -3)) (+.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (-.f64 (pow.f64 y -2) (/.f64 (neg.f64 (log.f64 y)) y))))
(/.f64 (-.f64 (pow.f64 y -3) (pow.f64 (log.f64 y) 3)) (+.f64 (pow.f64 y -2) (+.f64 (/.f64 (log.f64 y) y) (*.f64 (log.f64 y) (log.f64 y)))))
(/.f64 (-.f64 (pow.f64 y -3) (pow.f64 (log.f64 y) 3)) (+.f64 (fma.f64 (log.f64 y) (log.f64 y) (pow.f64 y -2)) (/.f64 (log.f64 y) y)))
(/.f64 (-.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (pow.f64 y -2)) (-.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y)))
(/.f64 (-.f64 (pow.f64 y -2) (pow.f64 (neg.f64 (log.f64 y)) 2)) (-.f64 (/.f64 -1 y) (neg.f64 (log.f64 y))))
(/.f64 (-.f64 (pow.f64 y -2) (*.f64 (log.f64 y) (log.f64 y))) (+.f64 (log.f64 y) (/.f64 -1 y)))
(/.f64 (-.f64 (*.f64 (log.f64 y) (log.f64 y)) (pow.f64 y -2)) (-.f64 (/.f64 1 y) (log.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y -2) (pow.f64 (neg.f64 (log.f64 y)) 2))) (neg.f64 (-.f64 (/.f64 -1 y) (neg.f64 (log.f64 y)))))
(/.f64 (-.f64 (pow.f64 y -2) (pow.f64 (neg.f64 (log.f64 y)) 2)) (-.f64 (/.f64 -1 y) (neg.f64 (log.f64 y))))
(/.f64 (-.f64 (pow.f64 y -2) (*.f64 (log.f64 y) (log.f64 y))) (+.f64 (log.f64 y) (/.f64 -1 y)))
(/.f64 (-.f64 (*.f64 (log.f64 y) (log.f64 y)) (pow.f64 y -2)) (-.f64 (/.f64 1 y) (log.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y -3) (pow.f64 (neg.f64 (log.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 y -2) (+.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (/.f64 (neg.f64 (log.f64 y)) y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 y)) 3) (pow.f64 y -3)) 1) (+.f64 (pow.f64 y -2) (+.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (/.f64 (neg.f64 (log.f64 y)) y))))
(/.f64 (-.f64 (pow.f64 y -3) (pow.f64 (log.f64 y) 3)) (-.f64 (+.f64 (pow.f64 y -2) (*.f64 (log.f64 y) (log.f64 y))) (/.f64 (log.f64 y) y)))
(/.f64 (-.f64 (pow.f64 y -3) (pow.f64 (log.f64 y) 3)) (-.f64 (fma.f64 (log.f64 y) (log.f64 y) (pow.f64 y -2)) (/.f64 (log.f64 y) y)))
(pow.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y)) 1)
(+.f64 (/.f64 -1 y) (neg.f64 (log.f64 y)))
(-.f64 (/.f64 -1 y) (log.f64 y))
(pow.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))) 2)
(+.f64 (/.f64 -1 y) (neg.f64 (log.f64 y)))
(-.f64 (/.f64 -1 y) (log.f64 y))
(pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))) 3)
(+.f64 (/.f64 -1 y) (neg.f64 (log.f64 y)))
(-.f64 (/.f64 -1 y) (log.f64 y))
(pow.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y)) 3) 1/3)
(+.f64 (/.f64 -1 y) (neg.f64 (log.f64 y)))
(-.f64 (/.f64 -1 y) (log.f64 y))
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(+.f64 (log.f64 (/.f64 -1 y)) (/.f64 -1 y))
(+.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y)))))
(+.f64 (/.f64 -1 y) (neg.f64 (log.f64 y)))
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(+.f64 (/.f64 -1 y) (neg.f64 (log.f64 y)))
(-.f64 (/.f64 -1 y) (log.f64 y))
(expm1.f64 (log1p.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))))
(+.f64 (/.f64 -1 y) (neg.f64 (log.f64 y)))
(-.f64 (/.f64 -1 y) (log.f64 y))
(exp.f64 (log.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))))
(+.f64 (/.f64 -1 y) (neg.f64 (log.f64 y)))
(-.f64 (/.f64 -1 y) (log.f64 y))
(exp.f64 (*.f64 (log.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))) 1))
(+.f64 (/.f64 -1 y) (neg.f64 (log.f64 y)))
(-.f64 (/.f64 -1 y) (log.f64 y))
(log1p.f64 (expm1.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y))))
(+.f64 (/.f64 -1 y) (neg.f64 (log.f64 y)))
(-.f64 (/.f64 -1 y) (log.f64 y))
(fma.f64 1 (neg.f64 (log.f64 y)) (/.f64 -1 y))
(+.f64 (/.f64 -1 y) (neg.f64 (log.f64 y)))
(-.f64 (/.f64 -1 y) (log.f64 y))
(fma.f64 1 (/.f64 -1 y) (neg.f64 (log.f64 y)))
(+.f64 (/.f64 -1 y) (neg.f64 (log.f64 y)))
(-.f64 (/.f64 -1 y) (log.f64 y))
(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (neg.f64 (log.f64 y)))
(-.f64 (/.f64 1 y) (log.f64 y))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 y))) (sqrt.f64 (neg.f64 (log.f64 y))) (/.f64 -1 y))
(+.f64 (/.f64 -1 y) (neg.f64 (log.f64 y)))
(-.f64 (/.f64 -1 y) (log.f64 y))
(fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 -1 (cbrt.f64 y)) (neg.f64 (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 y))) 2) (cbrt.f64 (neg.f64 (log.f64 y))) (/.f64 -1 y))
(+.f64 (/.f64 -1 y) (neg.f64 (log.f64 y)))
(-.f64 (/.f64 -1 y) (log.f64 y))

eval169.0ms (2%)

Compiler

Compiled 11176 to 6386 computations (42.9% saved)

prune109.0ms (1.3%)

Pruning

16 alts after pruning (6 fresh and 10 done)

PrunedKeptTotal
New5122514
Fresh044
Picked011
Done1910
Total51316529
Error
0.0b
Counts
529 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
48.8b
(-.f64 1 (/.f64 x y))
60.0b
(-.f64 1 (/.f64 1 y))
38.0b
(-.f64 1 (-.f64 y x))
52.8b
(-.f64 1 (+.f64 (/.f64 (/.f64 1/2 y) y) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 y))))))
52.3b
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))
23.9b
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y))
39.2b
(-.f64 1 (+.f64 y (*.f64 1/2 (*.f64 y y))))
39.2b
(-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))
17.1b
(-.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
38.9b
(-.f64 1 (log1p.f64 (/.f64 y (-.f64 1 y))))
16.1b
(-.f64 1 (log1p.f64 (/.f64 x (+.f64 -1 y))))
23.0b
(-.f64 1 (log1p.f64 (neg.f64 x)))
39.2b
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))
48.3b
(-.f64 1 (log.f64 (/.f64 x y)))
51.4b
(-.f64 1 (log.f64 (/.f64 -1 y)))
38.7b
(-.f64 1 y)
Compiler

Compiled 158 to 125 computations (20.9% saved)

regimes149.0ms (1.7%)

Counts
32 → 2
Calls
Call 1
Inputs
(-.f64 1 y)
(-.f64 1 (-.f64 y x))
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 x y))
(-.f64 1 (+.f64 y (*.f64 1/2 (*.f64 y y))))
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y))))
(-.f64 1 (log1p.f64 -1))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (log.f64 (/.f64 x y)))
(-.f64 1 (log1p.f64 (/.f64 x y)))
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y))
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))
(-.f64 1 (log1p.f64 (/.f64 x (+.f64 -1 y))))
(-.f64 1 (log1p.f64 (/.f64 y (-.f64 1 y))))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 x) (-.f64 1 y))))
(-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (-.f64 1 y)) (-.f64 y x))))
(-.f64 1 (log1p.f64 (-.f64 (/.f64 x y) (-.f64 (/.f64 1 y) -1))))
(-.f64 1 (log1p.f64 (*.f64 (/.f64 (-.f64 y x) (-.f64 1 (*.f64 y y))) (+.f64 y 1))))
(-.f64 1 (log1p.f64 (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (/.f64 1 (-.f64 1 y))) (*.f64 (-.f64 y x) (+.f64 y x))) (-.f64 y x))))
(-.f64 1 (log1p.f64 (*.f64 (/.f64 (-.f64 (*.f64 y (-.f64 1 y)) (*.f64 x (-.f64 1 y))) (*.f64 (-.f64 1 y) (-.f64 1 (*.f64 y y)))) (+.f64 y 1))))
(-.f64 1 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)))
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) (-.f64 (log.f64 (/.f64 -1 y)) (/.f64 (-.f64 1 x) (*.f64 y (+.f64 -1 x))))))
(-.f64 1 (+.f64 (/.f64 (/.f64 1/2 y) y) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 y))))))
(-.f64 1 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 3))
(-.f64 1 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) 2) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))))
(-.f64 1 (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (+.f64 (*.f64 -6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) 3))))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) y)))))))
Outputs
(-.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
(-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))
Calls

6 calls:

41.0ms
y
29.0ms
x
28.0ms
(/.f64 (-.f64 x y) (-.f64 1 y))
19.0ms
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
10.0ms
(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
Results
ErrorSegmentsBranch
12.0b2x
0.1b3y
0.1b2(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.1b2(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
0.1b2(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
0.1b2(/.f64 (-.f64 x y) (-.f64 1 y))
Compiler

Compiled 486 to 339 computations (30.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999561202582
0.9999999999898028
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes46.0ms (0.5%)

Counts
17 → 3
Calls
Call 1
Inputs
(-.f64 1 y)
(-.f64 1 (-.f64 y x))
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 x y))
(-.f64 1 (+.f64 y (*.f64 1/2 (*.f64 y y))))
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y))))
(-.f64 1 (log1p.f64 -1))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (log.f64 (/.f64 x y)))
(-.f64 1 (log1p.f64 (/.f64 x y)))
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y))
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))
(-.f64 1 (log1p.f64 (/.f64 x (+.f64 -1 y))))
(-.f64 1 (log1p.f64 (/.f64 y (-.f64 1 y))))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 x) (-.f64 1 y))))
(-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))
Outputs
(-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y))
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))
Calls

2 calls:

25.0ms
y
17.0ms
x
Results
ErrorSegmentsBranch
12.0b2x
0.8b3y
Compiler

Compiled 126 to 84 computations (33.3% saved)

bsearch117.0ms (1.4%)

Algorithm
binary-search
Steps
TimeLeftRight
96.0ms
0.02919437934828782
27077656443989.086
21.0ms
-2775.6346605180242
-6.221638635879996e-6
Results
77.0ms768×body256invalid
35.0ms304×body256valid
Compiler

Compiled 427 to 347 computations (18.7% saved)

regimes51.0ms (0.6%)

Counts
16 → 3
Calls
Call 1
Inputs
(-.f64 1 y)
(-.f64 1 (-.f64 y x))
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 x y))
(-.f64 1 (+.f64 y (*.f64 1/2 (*.f64 y y))))
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y))))
(-.f64 1 (log1p.f64 -1))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (log.f64 (/.f64 x y)))
(-.f64 1 (log1p.f64 (/.f64 x y)))
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y))
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))
(-.f64 1 (log1p.f64 (/.f64 x (+.f64 -1 y))))
(-.f64 1 (log1p.f64 (/.f64 y (-.f64 1 y))))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 x) (-.f64 1 y))))
Outputs
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y))
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))
Calls

2 calls:

31.0ms
y
17.0ms
x
Results
ErrorSegmentsBranch
12.0b2x
0.8b3y
Compiler

Compiled 117 to 77 computations (34.2% saved)

bsearch108.0ms (1.3%)

Algorithm
binary-search
Steps
TimeLeftRight
87.0ms
0.02919437934828782
27077656443989.086
21.0ms
-2775.6346605180242
-6.221638635879996e-6
Results
68.0ms674×body256invalid
35.0ms304×body256valid
Compiler

Compiled 418 to 338 computations (19.1% saved)

regimes37.0ms (0.4%)

Counts
12 → 3
Calls
Call 1
Inputs
(-.f64 1 y)
(-.f64 1 (-.f64 y x))
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 x y))
(-.f64 1 (+.f64 y (*.f64 1/2 (*.f64 y y))))
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y))))
(-.f64 1 (log1p.f64 -1))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (log.f64 (/.f64 x y)))
(-.f64 1 (log1p.f64 (/.f64 x y)))
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y))
Outputs
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y))
(-.f64 1 (log.f64 (/.f64 x y)))
Calls

2 calls:

21.0ms
y
13.0ms
x
Results
ErrorSegmentsBranch
15.1b2x
5.9b3y
Compiler

Compiled 84 to 53 computations (36.9% saved)

bsearch105.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
83.0ms
0.02919437934828782
27077656443989.086
21.0ms
-2775.6346605180242
-6.221638635879996e-6
Results
64.0ms646×body256invalid
35.0ms304×body256valid
Compiler

Compiled 380 to 309 computations (18.7% saved)

regimes36.0ms (0.4%)

Counts
11 → 3
Calls
Call 1
Inputs
(-.f64 1 y)
(-.f64 1 (-.f64 y x))
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 x y))
(-.f64 1 (+.f64 y (*.f64 1/2 (*.f64 y y))))
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y))))
(-.f64 1 (log1p.f64 -1))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (log.f64 (/.f64 x y)))
(-.f64 1 (log1p.f64 (/.f64 x y)))
Outputs
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 x y)))
Calls

2 calls:

19.0ms
y
14.0ms
x
Results
ErrorSegmentsBranch
15.1b2x
6.4b3y
Compiler

Compiled 77 to 50 computations (35.1% saved)

bsearch104.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
92.0ms
0.02919437934828782
27077656443989.086
11.0ms
-7593.491502934332
-2775.6346605180242
Results
71.0ms719×body256invalid
28.0ms240×body256valid
Compiler

Compiled 274 to 230 computations (16.1% saved)

regimes19.0ms (0.2%)

Counts
9 → 2
Calls
Call 1
Inputs
(-.f64 1 y)
(-.f64 1 (-.f64 y x))
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 x y))
(-.f64 1 (+.f64 y (*.f64 1/2 (*.f64 y y))))
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y))))
(-.f64 1 (log1p.f64 -1))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
Outputs
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (neg.f64 x)))
Calls

2 calls:

11.0ms
y
6.0ms
x
Results
ErrorSegmentsBranch
23.0b1x
14.3b2y
Compiler

Compiled 65 to 44 computations (32.3% saved)

bsearch12.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
12.0ms
-7593.491502934332
-2775.6346605180242
Results
9.0ms80×body256valid
1.0ms12×body256invalid
Compiler

Compiled 104 to 90 computations (13.5% saved)

regimes14.0ms (0.2%)

Counts
8 → 1
Calls
Call 1
Inputs
(-.f64 1 y)
(-.f64 1 (-.f64 y x))
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 x y))
(-.f64 1 (+.f64 y (*.f64 1/2 (*.f64 y y))))
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y))))
(-.f64 1 (log1p.f64 -1))
(-.f64 1 (log1p.f64 (neg.f64 x)))
Outputs
(-.f64 1 (log1p.f64 (neg.f64 x)))
Calls

2 calls:

6.0ms
x
5.0ms
y
Results
ErrorSegmentsBranch
23.0b1x
23.0b1y
Compiler

Compiled 59 to 39 computations (33.9% saved)

regimes17.0ms (0.2%)

Counts
7 → 2
Calls
Call 1
Inputs
(-.f64 1 y)
(-.f64 1 (-.f64 y x))
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 x y))
(-.f64 1 (+.f64 y (*.f64 1/2 (*.f64 y y))))
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 y y))))
(-.f64 1 (log1p.f64 -1))
Outputs
(-.f64 1 (/.f64 x y))
(-.f64 1 (-.f64 y x))
Calls

2 calls:

10.0ms
y
5.0ms
x
Results
ErrorSegmentsBranch
38.0b1x
36.8b2y
Compiler

Compiled 54 to 35 computations (35.2% saved)

bsearch21.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
-2775.6346605180242
-6.221638635879996e-6
Results
16.0ms144×body256valid
3.0ms25×body256invalid
Compiler

Compiled 163 to 123 computations (24.5% saved)

regimes12.0ms (0.1%)

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

2 calls:

7.0ms
y
4.0ms
x
Results
ErrorSegmentsBranch
38.0b1x
36.9b2y
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch12.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
11.0ms
-7593.491502934332
-2775.6346605180242
Results
9.0ms80×body256valid
1.0ms10×body256invalid
Compiler

Compiled 99 to 80 computations (19.2% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.9b remaining (-2.2%)

Threshold costs -0.9b (-2.2%)

Counts
2 → 1
Calls
Call 1
Inputs
(-.f64 1 y)
(-.f64 1 (-.f64 y x))
Outputs
(-.f64 1 (-.f64 y x))
Calls

2 calls:

3.0ms
x
3.0ms
y
Results
ErrorSegmentsBranch
38.0b1x
38.0b1y
Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify20.0ms (0.2%)

Algorithm
egg-herbie
Rules
62×+-commutative
54×sub-neg
32×*-commutative
32×neg-sub0
26×neg-mul-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068527
1105519
2155519
3194519
4212519
5221519
6225519
7226519
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 4503599447226511/4503599627370496) (-.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) (-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x))))))
(if (<=.f64 y -7656119366529843/4503599627370496) (-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x))))) (if (<=.f64 y 1) (-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y)) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))))
(if (<=.f64 y -3715469692580659/2251799813685248) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) (if (<=.f64 y 1) (-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y)) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))))
(if (<=.f64 y -30) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y 1) (-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y)) (-.f64 1 (log.f64 (/.f64 x y)))))
(if (<=.f64 y -3300) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y 1) (-.f64 1 (log1p.f64 (neg.f64 x))) (-.f64 1 (log.f64 (/.f64 x y)))))
(if (<=.f64 y -3600) (-.f64 1 (log.f64 (/.f64 -1 y))) (-.f64 1 (log1p.f64 (neg.f64 x))))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(if (<=.f64 y -21/2) (-.f64 1 (/.f64 x y)) (-.f64 1 (-.f64 y x)))
(if (<=.f64 y -7400) (-.f64 1 (/.f64 1 y)) (-.f64 1 (-.f64 y x)))
(-.f64 1 (-.f64 y x))
(-.f64 1 y)
Outputs
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 4503599447226511/4503599627370496) (-.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) (-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 4503599447226511/4503599627370496) (-.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) (-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 x -1))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 4503599447226511/4503599627370496) (-.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) (+.f64 1 (log.f64 (/.f64 y (+.f64 x -1)))))
(if (<=.f64 y -7656119366529843/4503599627370496) (-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x))))) (if (<=.f64 y 1) (-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y)) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))))
(if (<=.f64 y -7656119366529843/4503599627370496) (-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 x -1))))) (if (<=.f64 y 1) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y)))))
(if (<=.f64 y -7656119366529843/4503599627370496) (+.f64 1 (log.f64 (/.f64 y (+.f64 x -1)))) (if (<=.f64 y 1) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y)))))
(if (<=.f64 y -3715469692580659/2251799813685248) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) (if (<=.f64 y 1) (-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y)) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))))
(if (or (<=.f64 y -3715469692580659/2251799813685248) (not (<=.f64 y 1))) (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))))
(if (<=.f64 y -30) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y 1) (-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y)) (-.f64 1 (log.f64 (/.f64 x y)))))
(if (<=.f64 y -30) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y 1) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) (-.f64 1 (log.f64 (/.f64 x y)))))
(if (<=.f64 y -3300) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y 1) (-.f64 1 (log1p.f64 (neg.f64 x))) (-.f64 1 (log.f64 (/.f64 x y)))))
(if (<=.f64 y -3600) (-.f64 1 (log.f64 (/.f64 -1 y))) (-.f64 1 (log1p.f64 (neg.f64 x))))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(if (<=.f64 y -21/2) (-.f64 1 (/.f64 x y)) (-.f64 1 (-.f64 y x)))
(if (<=.f64 y -21/2) (-.f64 1 (/.f64 x y)) (+.f64 1 (-.f64 x y)))
(if (<=.f64 y -7400) (-.f64 1 (/.f64 1 y)) (-.f64 1 (-.f64 y x)))
(if (<=.f64 y -7400) (+.f64 1 (/.f64 -1 y)) (-.f64 1 (-.f64 y x)))
(if (<=.f64 y -7400) (+.f64 1 (/.f64 -1 y)) (+.f64 1 (-.f64 x y)))
(-.f64 1 (-.f64 y x))
(+.f64 1 (-.f64 x y))
(-.f64 1 y)
Compiler

Compiled 213 to 162 computations (23.9% saved)

soundness1.0s (12.1%)

Algorithm
10×egg-herbie
Rules
1300×associate-*r/
1200×associate-*r*
1106×associate-+l-
1104×associate-+r-
1094×+-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01235
12433
24233
39029
422629
551329
6117629
7263629
8494629
9599529
10700729
04136346
113575680
260035680
03418199
19437665
242437629
04136346
113575680
260035680
04136346
113575680
260035680
01321441
13471333
211961325
361241325
01691948
14351658
216771478
361101478
04136346
113575680
260035680
04136346
113575680
260035680
01691948
14351658
216771478
361101478
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 709 to 522 computations (26.4% saved)

end177.0ms (2.1%)

Compiler

Compiled 193 to 124 computations (35.8% saved)

Profiling

Loading profile data...