Details

Time bar (total: 4.9s)

analyze213.0ms (4.4%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
3.2%3.1%93.7%0.1%3.1%0%0%6
5%4.7%89%0.1%3.1%3.1%0%7
22.1%19.5%68.7%0.1%4.7%7%0%8
27%22.6%61.3%0.1%5.1%10.9%0%9
32.9%26.5%54%0.1%5.9%13.5%0%10
36.2%28.3%49.9%0.1%6.1%15.6%0%11
39.8%30.4%45.9%0.1%6.6%17%0%12
Compiler

Compiled 14 to 9 computations (35.7% saved)

sample2.7s (55.6%)

Results
1.0s1798×body1024valid
969.0ms5248×body256valid
295.0ms1029×body512valid
146.0ms181×body2048valid
80.0ms187×body1024infinite
75.0ms247×body512infinite
59.0ms443×body256infinite
51.0ms509×body256invalid
Bogosity

preprocess47.0ms (1%)

Algorithm
egg-herbie
Rules
1134×distribute-rgt-in
1130×distribute-lft-in
1052×associate-*r*
818×associate-/l*
768×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01766
13050
24650
310150
422750
556250
6149050
7539150
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 y x))))) y)
Outputs
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
(/.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 y x))))) y)
(/.f64 (pow.f64 (exp.f64 y) (log.f64 (/.f64 y (+.f64 x y)))) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 x y)) y) y)
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify61.0ms (1.2%)

Algorithm
egg-herbie
Rules
1018×associate-+l-
960×unswap-sqr
738×associate-+r-
584×distribute-lft-in
582×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01133
11825
22725
35825
412725
530825
680725
7284625
8698225
Stop Event
node limit
Counts
1 → 3
Calls
Call 1
Inputs
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Outputs
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
(/.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

eval1.0ms (0%)

Compiler

Compiled 33 to 13 computations (60.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New123
Fresh101
Picked000
Done000
Total224
Error
5.1b
Counts
4 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
11.8b
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
5.3b
(/.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) x)
Compiler

Compiled 24 to 14 computations (41.7% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (+.f64 x y))
0.1b
(pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y))))
10.4b
(log.f64 (/.f64 x (+.f64 x y)))
Compiler

Compiled 40 to 8 computations (80% saved)

series11.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
y
@0
(pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y))))
1.0ms
y
@inf
(pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y))))
1.0ms
x
@inf
(log.f64 (/.f64 x (+.f64 x y)))
1.0ms
x
@inf
(pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y))))
1.0ms
y
@-inf
(pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y))))

rewrite80.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1032×*-commutative
1018×associate-*r/
820×associate-/r*
690×associate-*l/
654×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01057
121257
2290757
Stop Event
node limit
Counts
3 → 170
Calls
Call 1
Inputs
(log.f64 (/.f64 x (+.f64 x y)))
(pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 x (+.f64 x y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (log.f64 (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (neg.f64 (log.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (*.f64 1 (log.f64 (/.f64 1 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (*.f64 1 (neg.f64 (log.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (*.f64 (log.f64 (/.f64 1 (+.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (*.f64 (neg.f64 (log.f64 (+.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (/.f64 1 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (+.f64 (log.f64 (cbrt.f64 x)) (neg.f64 (log.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (-.f64 (log.f64 (cbrt.f64 x)) (log.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2)) (log.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 1 (+.f64 x y))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) (log.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 x)) (neg.f64 (log.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 x (+.f64 x y))))))) 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y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 x (+.f64 x y)) 1))))))
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simplify170.0ms (3.5%)

Algorithm
egg-herbie
Rules
968×associate-+r-
952×associate-+l-
884×fma-def
662×associate-*r*
620×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064310244
117878886
269108886
Stop Event
node limit
Counts
242 → 351
Calls
Call 1
Inputs
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 x y)) (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 x y)) (log.f64 x))))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 x y)) (log.f64 x)))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (+.f64 x y)) 3)) 1) (+.f64 (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 (+.f64 x y)) (log.f64 (+.f64 x y)))) (*.f64 (log.f64 (+.f64 x y)) (log.f64 x))))
(pow.f64 (log.f64 (/.f64 x (+.f64 x y))) 1)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 x y)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x y))) 3) 1/3)
(neg.f64 (log.f64 (/.f64 (+.f64 x y) x)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x y))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x y))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (+.f64 x y)))))
(exp.f64 (log.f64 (log.f64 (/.f64 x (+.f64 x y)))))
(log1p.f64 (-.f64 (/.f64 x (+.f64 x y)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))))) 1)
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) 1)
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) (pow.f64 1 (log.f64 (/.f64 x (+.f64 x y)))))
(*.f64 1 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y))))) (sqrt.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y))))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y))))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y))))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y))))))
(*.f64 (pow.f64 1 (log.f64 (/.f64 x (+.f64 x y)))) (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (log.f64 (/.f64 x (+.f64 x y)))) (pow.f64 (sqrt.f64 (exp.f64 x)) (log.f64 (/.f64 x (+.f64 x y)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (log.f64 (/.f64 x (+.f64 x y)))) (pow.f64 (cbrt.f64 (exp.f64 x)) (log.f64 (/.f64 x (+.f64 x y)))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) (log.f64 (/.f64 x (+.f64 x y)))) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (log.f64 (/.f64 x (+.f64 x y)))))
(/.f64 (pow.f64 (exp.f64 x) (log.f64 x)) (pow.f64 (exp.f64 x) (log.f64 (+.f64 x y))))
(/.f64 (*.f64 1 (pow.f64 (exp.f64 x) (log.f64 x))) (pow.f64 (exp.f64 x) (log.f64 (+.f64 x y))))
(/.f64 (*.f64 (pow.f64 1 (log.f64 (/.f64 x (+.f64 x y)))) (pow.f64 (exp.f64 x) (log.f64 x))) (pow.f64 (exp.f64 x) (log.f64 (+.f64 x y))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) (log.f64 x)) 1) (pow.f64 (exp.f64 x) (log.f64 (+.f64 x y))))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (log.f64 (/.f64 x (+.f64 x y)))))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y))))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y))))))
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y))))))
(+.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 (neg.f64 y) 1 y)))
(+.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y)))
(+.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y)))
(+.f64 (/.f64 x (+.f64 x y)) (*.f64 (fma.f64 (neg.f64 y) 1 y) (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 (/.f64 x (+.f64 x y)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y) (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 (/.f64 x (+.f64 x y)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y) (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 (*.f64 (/.f64 1 (+.f64 x y)) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2))) (*.f64 (/.f64 1 (+.f64 x y)) (log.f64 (cbrt.f64 (exp.f64 x)))))
(+.f64 (*.f64 (/.f64 1 (+.f64 x y)) 0) (/.f64 x (+.f64 x y)))
(+.f64 (*.f64 (/.f64 1 (+.f64 x y)) (log.f64 (sqrt.f64 (exp.f64 x)))) (*.f64 (/.f64 1 (+.f64 x y)) (log.f64 (sqrt.f64 (exp.f64 x)))))
(+.f64 (*.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) x) (*.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) (neg.f64 y)))
(+.f64 (*.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) x) (*.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 y -1)))
(+.f64 (*.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) x) (*.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))))
(+.f64 (*.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) x) (*.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (cbrt.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 x x)) (*.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 y (-.f64 y x))))
(+.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 y (-.f64 y x))) (*.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 x x)))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 1 (+.f64 x y))) (*.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (/.f64 1 (+.f64 x y))))
(+.f64 (*.f64 0 (/.f64 1 (+.f64 x y))) (/.f64 x (+.f64 x y)))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (/.f64 1 (+.f64 x y))) (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (/.f64 1 (+.f64 x y))))
(+.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (neg.f64 y) (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (*.f64 y -1) (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))) (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (*.f64 (cbrt.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (*.f64 (*.f64 y (-.f64 y x)) (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 (*.f64 x x) (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) 1)
(*.f64 x (/.f64 1 (+.f64 x y)))
(*.f64 (/.f64 x (+.f64 x y)) 1)
(*.f64 1 (/.f64 x (+.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 x y)))
(*.f64 (-.f64 x y) (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))))
(*.f64 (/.f64 1 (+.f64 x y)) x)
(*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))))
(*.f64 (neg.f64 x) (/.f64 -1 (+.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) (/.f64 (sqrt.f64 x) 1))
(*.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(*.f64 (/.f64 x 1) (/.f64 1 (+.f64 x y)))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (/.f64 1 (sqrt.f64 (+.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) (/.f64 x (sqrt.f64 (+.f64 x y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 x (cbrt.f64 (+.f64 x y))))
(*.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)))
(*.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 x (-.f64 x y)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 x (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (/.f64 -1 (+.f64 x y)) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (+.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x y)) (cbrt.f64 x))
(*.f64 (/.f64 x (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y)))) (neg.f64 (-.f64 x y)))
(*.f64 (/.f64 x (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (/.f64 x (-.f64 (*.f64 y y) (*.f64 x x))) (-.f64 y x))
(*.f64 (/.f64 1 (/.f64 (+.f64 x y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y)))) (-.f64 x y))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y)))) (neg.f64 (-.f64 x y)))
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (/.f64 (/.f64 x 1) (-.f64 (*.f64 y y) (*.f64 x x))) (-.f64 y x))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)))) (sqrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y)))) (sqrt.f64 (-.f64 x y)))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)))) (cbrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y)))) (cbrt.f64 (-.f64 x y)))
(pow.f64 (/.f64 x (+.f64 x y)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 x y) x) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 x y))))) (sqrt.f64 (log.f64 (/.f64 x (+.f64 x y)))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 x (+.f64 x y))))
(neg.f64 (/.f64 x (neg.f64 (+.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
Outputs
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (neg.f64 (log.f64 y)) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 x y)) (log.f64 x)))
(+.f64 (neg.f64 (log.f64 y)) (fma.f64 -1 (/.f64 x y) (log.f64 x)))
(-.f64 (-.f64 (log.f64 x) (/.f64 x y)) (log.f64 y))
(-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 x y))
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 x y)) (log.f64 x))))
(+.f64 (neg.f64 (log.f64 y)) (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -1 (/.f64 x y) (log.f64 x))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 (log.f64 x) (/.f64 x y))) (log.f64 y))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 x y)) (log.f64 x)))))
(fma.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (neg.f64 (log.f64 y)) (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -1 (/.f64 x y) (log.f64 x)))))
(fma.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (fma.f64 1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 (log.f64 x) (/.f64 x y))) (log.f64 y)))
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2))) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 y y) 1) (*.f64 x x)) (/.f64 (neg.f64 y) x))
(fma.f64 1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (neg.f64 y) x))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -6 (pow.f64 y 3)) (+.f64 (*.f64 6 (pow.f64 y 3)) (*.f64 -2 (pow.f64 y 3)))) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 y y) 1) (*.f64 x x)) (fma.f64 1/6 (/.f64 (fma.f64 -6 (pow.f64 y 3) (*.f64 (pow.f64 y 3) 4)) (pow.f64 x 3)) (/.f64 (neg.f64 y) x)))
(fma.f64 1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) -2) (pow.f64 x 3)) (/.f64 (neg.f64 y) x)))
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(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)))) (cbrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)))) (cbrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)))) (cbrt.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y)))) (cbrt.f64 (-.f64 x y)))
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (cbrt.f64 (-.f64 x y))) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y)))) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (cbrt.f64 (-.f64 x y)))
(pow.f64 (/.f64 x (+.f64 x y)) 1)
(+.f64 (/.f64 x (+.f64 y x)) 0)
(/.f64 x (+.f64 y x))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
(+.f64 (/.f64 x (+.f64 y x)) 0)
(/.f64 x (+.f64 y x))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)
(+.f64 (/.f64 x (+.f64 y x)) 0)
(/.f64 x (+.f64 y x))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3) 1/3)
(+.f64 (/.f64 x (+.f64 y x)) 0)
(/.f64 x (+.f64 y x))
(pow.f64 (/.f64 (+.f64 x y) x) -1)
(+.f64 (/.f64 x (+.f64 y x)) 0)
(/.f64 x (+.f64 y x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))))
(+.f64 (/.f64 x (+.f64 y x)) 0)
(/.f64 x (+.f64 y x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 x y))))) (sqrt.f64 (log.f64 (/.f64 x (+.f64 x y)))))
(+.f64 (/.f64 x (+.f64 y x)) 0)
(/.f64 x (+.f64 y x))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 x (+.f64 x y))))
(+.f64 (/.f64 x (+.f64 y x)) 0)
(/.f64 x (+.f64 y x))
(neg.f64 (/.f64 x (neg.f64 (+.f64 x y))))
(+.f64 (/.f64 x (+.f64 y x)) 0)
(/.f64 x (+.f64 y x))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) 2))
(fabs.f64 (/.f64 x (+.f64 y x)))
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
(+.f64 (/.f64 x (+.f64 y x)) 0)
(/.f64 x (+.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x y)))))
(+.f64 (/.f64 x (+.f64 y x)) 0)
(/.f64 x (+.f64 y x))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
(+.f64 (/.f64 x (+.f64 y x)) 0)
(/.f64 x (+.f64 y x))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(+.f64 (/.f64 x (+.f64 y x)) 0)
(/.f64 x (+.f64 y x))
(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
(+.f64 (/.f64 x (+.f64 y x)) 0)
(/.f64 x (+.f64 y x))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
(+.f64 (/.f64 x (+.f64 y x)) 0)
(/.f64 x (+.f64 y x))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (+.f64 x y))
7.3b
(pow.f64 (/.f64 x (+.f64 x y)) x)
Compiler

Compiled 28 to 6 computations (78.6% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite92.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1916×add-sqr-sqrt
1896×*-un-lft-identity
1780×add-cube-cbrt
1760×add-cbrt-cube
170×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
116019
2233419
Stop Event
node limit
Counts
1 → 18
Calls
Call 1
Inputs
(pow.f64 (/.f64 x (+.f64 x y)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x (+.f64 x y)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 x (+.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 2 x))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x x) (pow.f64 (/.f64 1 (+.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 x) (pow.f64 (/.f64 x (+.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x) (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2) x) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 x (+.f64 x y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))))))

simplify83.0ms (1.7%)

Algorithm
egg-herbie
Rules
1286×associate-+r+
880×associate-+l+
728×+-commutative
666×times-frac
566×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02393178
17192720
230922390
Stop Event
node limit
Counts
42 → 94
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(+.f64 1 (+.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)) (/.f64 1 y)) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3)) (*.f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) y)))) (pow.f64 x 3)) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)) (/.f64 1 y)) (pow.f64 x 2)))))
(exp.f64 (*.f64 -1 y))
(+.f64 (exp.f64 (*.f64 -1 y)) (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2)))) x)))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 1/8 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2))) 2)) (*.f64 1/6 (+.f64 (*.f64 -6 (pow.f64 y 3)) (+.f64 (*.f64 6 (pow.f64 y 3)) (*.f64 -2 (pow.f64 y 3))))))) (pow.f64 x 2)) (+.f64 (exp.f64 (*.f64 -1 y)) (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2)))) x))))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 1/8 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2))) 2)) (*.f64 1/6 (+.f64 (*.f64 -6 (pow.f64 y 3)) (+.f64 (*.f64 6 (pow.f64 y 3)) (*.f64 -2 (pow.f64 y 3))))))) (pow.f64 x 2)) (+.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/12 (*.f64 (+.f64 (*.f64 -6 (pow.f64 y 3)) (+.f64 (*.f64 6 (pow.f64 y 3)) (*.f64 -2 (pow.f64 y 3)))) (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2))))) (+.f64 (*.f64 1/48 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2))) 3)) (*.f64 1/24 (+.f64 (*.f64 -12 (pow.f64 y 4)) (+.f64 (*.f64 48 (pow.f64 y 4)) (+.f64 (*.f64 -24 (pow.f64 y 4)) (*.f64 -6 (pow.f64 y 4)))))))) (exp.f64 (*.f64 -1 y))) (pow.f64 x 3)) (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2)))) x)))))
(exp.f64 (*.f64 -1 y))
(+.f64 (exp.f64 (*.f64 -1 y)) (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2)))) x)))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 1/8 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2))) 2)) (*.f64 -1/6 (+.f64 (*.f64 -6 (pow.f64 y 3)) (+.f64 (*.f64 6 (pow.f64 y 3)) (*.f64 2 (pow.f64 y 3))))))) (pow.f64 x 2)) (+.f64 (exp.f64 (*.f64 -1 y)) (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2)))) x))))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 1/8 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2))) 2)) (*.f64 -1/6 (+.f64 (*.f64 -6 (pow.f64 y 3)) (+.f64 (*.f64 6 (pow.f64 y 3)) (*.f64 2 (pow.f64 y 3))))))) (pow.f64 x 2)) (+.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1/24 (+.f64 (*.f64 -12 (pow.f64 y 4)) (+.f64 (*.f64 48 (pow.f64 y 4)) (+.f64 (*.f64 -24 (pow.f64 y 4)) (*.f64 -6 (pow.f64 y 4)))))) (+.f64 (*.f64 -1/48 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2))) 3)) (*.f64 1/12 (*.f64 (+.f64 (*.f64 -6 (pow.f64 y 3)) (+.f64 (*.f64 6 (pow.f64 y 3)) (*.f64 2 (pow.f64 y 3)))) (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2)))))))) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2)))) x)))))
1
(+.f64 1 (*.f64 -1 y))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))) (+.f64 1 (*.f64 -1 y)))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/6 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))))) (*.f64 -1 y))))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) (pow.f64 x 2)) y)) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 4)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x))) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) (pow.f64 x 2)) y)) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 4)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x))) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) (pow.f64 x 2)) y)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 6)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 3))) (*.f64 1/6 (*.f64 (+.f64 (*.f64 -2 (pow.f64 x 3)) (+.f64 (*.f64 -6 (pow.f64 x 3)) (*.f64 6 (pow.f64 x 3)))) x)))) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))) (pow.f64 y 3)) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)))))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x))
(+.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (pow.f64 x 2)) y)))
(+.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 4)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x))) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x))) (pow.f64 y 2)) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (pow.f64 x 2)) y))))
(+.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 4)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x))) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x))) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 3))) (+.f64 (*.f64 1/6 (pow.f64 x 6)) (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 6 (pow.f64 x 3)) (*.f64 -6 (pow.f64 x 3)))) x))))) (pow.f64 y 3))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (pow.f64 x 2)) y)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x (+.f64 x y)) x))) 1)
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) 1)
(*.f64 1 (pow.f64 (/.f64 x (+.f64 x y)) x))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 2 x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 2 x))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(*.f64 (pow.f64 x x) (pow.f64 (/.f64 1 (+.f64 x y)) x))
(*.f64 (pow.f64 1 x) (pow.f64 (/.f64 x (+.f64 x y)) x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x) (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2) x) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) x))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 2 x)))
(log.f64 (exp.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 x (+.f64 x y)) x))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(exp.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
Outputs
1
(+.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(+.f64 1 (*.f64 x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))))
(fma.f64 x (-.f64 (log.f64 x) (log.f64 y)) 1)
(+.f64 1 (+.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)) (/.f64 1 y)) (pow.f64 x 2))))
(+.f64 1 (fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) 2)) (/.f64 1 y)) (*.f64 x x))))
(+.f64 1 (fma.f64 x (-.f64 (log.f64 x) (log.f64 y)) (*.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 2) (/.f64 -1 y)) (*.f64 x x))))
(+.f64 1 (*.f64 x (+.f64 (-.f64 (log.f64 x) (log.f64 y)) (*.f64 x (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 2) (/.f64 -1 y))))))
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(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x))
(pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)
(pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x))))
(+.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (pow.f64 x 2)) y)))
(+.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (neg.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (/.f64 y (*.f64 x x)))))
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) y) (*.f64 x x)))
(+.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 4)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x))) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x))) (pow.f64 y 2)) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (pow.f64 x 2)) y))))
(+.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (+.f64 (neg.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (/.f64 y (*.f64 x x)))) (/.f64 (*.f64 1/2 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 (*.f64 x x) 1)))) (/.f64 (*.f64 y y) (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) y) (/.f64 (*.f64 1/2 (+.f64 (pow.f64 x 3) (pow.f64 x 4))) y)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) y) (*.f64 x x))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) y) (-.f64 (/.f64 (*.f64 (pow.f64 x 3) (+.f64 1 x)) (/.f64 y 1/2)) (*.f64 x x))))
(+.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 4)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x))) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x))) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 3))) (+.f64 (*.f64 1/6 (pow.f64 x 6)) (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 6 (pow.f64 x 3)) (*.f64 -6 (pow.f64 x 3)))) x))))) (pow.f64 y 3))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (pow.f64 x 2)) y)))))
(+.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (+.f64 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 (*.f64 x x) 1)))) (/.f64 (*.f64 y y) (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x))) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (fma.f64 1/2 (*.f64 (pow.f64 x 3) (*.f64 (*.f64 x x) 1)) (*.f64 1/6 (+.f64 (pow.f64 x 6) (*.f64 x (fma.f64 2 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0))))))) (pow.f64 y 3)) (neg.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (/.f64 y (*.f64 x x)))))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) (-.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) y) (/.f64 (*.f64 1/2 (+.f64 (pow.f64 x 3) (pow.f64 x 4))) y)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) (pow.f64 y 3)) (fma.f64 1/6 (+.f64 (pow.f64 x 6) (*.f64 x (*.f64 2 (pow.f64 x 3)))) (*.f64 1/2 (*.f64 x (pow.f64 x 4)))))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) y) (*.f64 x x))))
(-.f64 (*.f64 (+.f64 (*.f64 (/.f64 1/2 y) (/.f64 (*.f64 (pow.f64 x 3) (+.f64 1 x)) y)) 1) (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x))))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) y) (+.f64 (*.f64 x x) (/.f64 (fma.f64 1/6 (+.f64 (pow.f64 x 6) (*.f64 x (*.f64 2 (pow.f64 x 3)))) (*.f64 1/2 (*.f64 x (pow.f64 x 4)))) (*.f64 y y)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x (+.f64 x y)) x))) 1)
(pow.f64 (/.f64 x (+.f64 y x)) x)
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) 1)
(pow.f64 (/.f64 x (+.f64 y x)) x)
(*.f64 1 (pow.f64 (/.f64 x (+.f64 x y)) x))
(pow.f64 (/.f64 x (+.f64 y x)) x)
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(pow.f64 (/.f64 x (+.f64 y x)) x)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 2 x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x 2))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 2 x))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x 2))))
(*.f64 (pow.f64 x x) (pow.f64 (/.f64 1 (+.f64 x y)) x))
(*.f64 (pow.f64 x x) (pow.f64 (/.f64 1 (+.f64 y x)) x))
(*.f64 (pow.f64 1 x) (pow.f64 (/.f64 x (+.f64 x y)) x))
(pow.f64 (/.f64 x (+.f64 y x)) x)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x) (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 y x))) (*.f64 x 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2) x) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) 2) x) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) x))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 2 x)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x 2)))
(fabs.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))
(log.f64 (exp.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(pow.f64 (/.f64 x (+.f64 y x)) x)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 x (+.f64 x y)) x))))
(pow.f64 (/.f64 x (+.f64 y x)) x)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) 3))
(pow.f64 (/.f64 x (+.f64 y x)) x)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(pow.f64 (/.f64 x (+.f64 y x)) x)
(exp.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(pow.f64 (/.f64 x (+.f64 y x)) x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) 1))
(pow.f64 (/.f64 x (+.f64 y x)) x)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(pow.f64 (/.f64 x (+.f64 y x)) x)

eval293.0ms (6%)

Compiler

Compiled 15392 to 6962 computations (54.8% saved)

prune168.0ms (3.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New5804584
Fresh000
Picked101
Done101
Total5824586
Error
0b
Counts
586 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
40.6b
(/.f64 (pow.f64 (/.f64 x y) x) x)
20.6b
(/.f64 (-.f64 1 y) x)
11.4b
(/.f64 (exp.f64 (neg.f64 y)) x)
10.0b
(/.f64 1 x)
Compiler

Compiled 28 to 19 computations (32.1% saved)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.1%)

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize5.0ms (0.1%)

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize33.0ms (0.7%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (pow.f64 (/.f64 x y) x) x)
6.7b
(pow.f64 (/.f64 x y) x)
Compiler

Compiled 19 to 5 computations (73.7% saved)

series85.0ms (1.8%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
52.0ms
y
@-inf
(pow.f64 (/.f64 x y) x)
22.0ms
y
@0
(pow.f64 (/.f64 x y) x)
8.0ms
y
@inf
(pow.f64 (/.f64 x y) x)
0.0ms
x
@-inf
(/.f64 (pow.f64 (/.f64 x y) x) x)
0.0ms
x
@0
(pow.f64 (/.f64 x y) x)

rewrite68.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1740×add-sqr-sqrt
1724×*-un-lft-identity
1610×add-cube-cbrt
1588×add-cbrt-cube
160×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0732
115432
2218032
Stop Event
node limit
Counts
2 → 50
Calls
Call 1
Inputs
(pow.f64 (/.f64 x y) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (sqrt.f64 (pow.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) 2) (cbrt.f64 (pow.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x x) (pow.f64 (/.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 x) (pow.f64 (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) x) (pow.f64 (sqrt.f64 (/.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) x) (pow.f64 (cbrt.f64 (/.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x y) (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 x (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 x (log.f64 (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (/.f64 x y) x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x y) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (/.f64 x y) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (*.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) 2) (*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 2) (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (/.f64 x y) x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (pow.f64 (/.f64 x y) x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 (/.f64 x y) x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) 1) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (pow.f64 (/.f64 x y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (/.f64 x y) x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (/.f64 x y) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))))))

simplify52.0ms (1.1%)

Algorithm
egg-herbie
Rules
1136×associate-*r/
1036×associate-/l*
788×unswap-sqr
700×associate-*l/
564×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01742248
13932154
216142042
Stop Event
node limit
Counts
98 → 94
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(+.f64 1 (+.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) (pow.f64 x 2))))))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)) x))
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)) x))
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)) x))
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)) x))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x))
(/.f64 1 x)
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3) (pow.f64 x 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) x))))))
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x y) x))) 1)
(*.f64 (pow.f64 (/.f64 x y) x) 1)
(*.f64 1 (pow.f64 (/.f64 x y) x))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (sqrt.f64 (pow.f64 (/.f64 x y) x)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) 2) (cbrt.f64 (pow.f64 (/.f64 x y) x)))
(*.f64 (pow.f64 x x) (pow.f64 (/.f64 1 y) x))
(*.f64 (pow.f64 1 x) (pow.f64 (/.f64 x y) x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) x) (pow.f64 (sqrt.f64 (/.f64 x y)) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) x) (pow.f64 (cbrt.f64 (/.f64 x y)) x))
(sqrt.f64 (pow.f64 (/.f64 x y) (*.f64 2 x)))
(log.f64 (exp.f64 (pow.f64 (/.f64 x y) x)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 x y) x))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x y) x)))
(exp.f64 (*.f64 x (log.f64 (/.f64 x y))))
(exp.f64 (*.f64 (*.f64 x (log.f64 (/.f64 x y))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (/.f64 x y) x) x))) 1)
(*.f64 (pow.f64 (/.f64 x y) x) (/.f64 1 x))
(*.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 1)
(*.f64 1 (/.f64 (pow.f64 (/.f64 x y) x) x))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (*.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) 2) (*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 2) (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 x y) x))
(*.f64 (neg.f64 (pow.f64 (/.f64 x y) x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (pow.f64 (/.f64 x y) x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 (/.f64 x y) x) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) 1) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) x))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
(pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3) 1/3)
(pow.f64 (/.f64 x (pow.f64 (/.f64 x y) x)) -1)
(neg.f64 (/.f64 (pow.f64 (/.f64 x y) x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (/.f64 x y) x) x))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
(exp.f64 (log.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
Outputs
1
(+.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(+.f64 1 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))))
(fma.f64 x (log.f64 (/.f64 x y)) 1)
(+.f64 1 (+.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) (pow.f64 x 2)))))
(+.f64 1 (fma.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) x (*.f64 1/2 (*.f64 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2) (*.f64 x x)))))
(+.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (*.f64 x x)) (*.f64 x (log.f64 (/.f64 x y)))))
(fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (*.f64 1/2 (*.f64 x x)) (fma.f64 x (log.f64 (/.f64 x y)) 1))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) (pow.f64 x 2))))))
(fma.f64 1/6 (*.f64 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3) (pow.f64 x 3)) (+.f64 1 (fma.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) x (*.f64 1/2 (*.f64 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2) (*.f64 x x))))))
(+.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (*.f64 x x)) (*.f64 x (log.f64 (/.f64 x y)))) (fma.f64 1/6 (*.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) (pow.f64 x 3)) 1))
(fma.f64 1/6 (*.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) (pow.f64 x 3)) (fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (*.f64 1/2 (*.f64 x x)) (fma.f64 x (log.f64 (/.f64 x y)) 1)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x))
(pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)
(pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x))))
(pow.f64 (*.f64 (neg.f64 x) (/.f64 -1 y)) x)
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x))
(pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)
(pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x))))
(pow.f64 (*.f64 (neg.f64 x) (/.f64 -1 y)) x)
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x))
(pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)
(pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x))))
(pow.f64 (*.f64 (neg.f64 x) (/.f64 -1 y)) x)
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x))
(pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)
(pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x))))
(pow.f64 (*.f64 (neg.f64 x) (/.f64 -1 y)) x)
(/.f64 1 x)
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (log.f64 x)))
(+.f64 (neg.f64 (log.f64 y)) (+.f64 (log.f64 x) (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 x y)) (/.f64 1 x))
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) x)))))
(+.f64 (neg.f64 (log.f64 y)) (+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (*.f64 1/2 (*.f64 x (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2))))))
(+.f64 (+.f64 (log.f64 (/.f64 x y)) (/.f64 1 x)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (*.f64 x 1/2)))
(+.f64 (log.f64 (/.f64 x y)) (fma.f64 x (*.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 2)) (/.f64 1 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3) (pow.f64 x 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) x))))))
(fma.f64 1/6 (*.f64 (*.f64 x x) (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)) (+.f64 (neg.f64 (log.f64 y)) (+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (*.f64 1/2 (*.f64 x (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2)))))))
(fma.f64 1/6 (*.f64 (*.f64 x x) (pow.f64 (log.f64 (/.f64 x y)) 3)) (+.f64 (+.f64 (log.f64 (/.f64 x y)) (/.f64 1 x)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (*.f64 x 1/2))))
(fma.f64 (*.f64 x x) (*.f64 1/6 (pow.f64 (log.f64 (/.f64 x y)) 3)) (+.f64 (log.f64 (/.f64 x y)) (fma.f64 x (*.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 2)) (/.f64 1 x))))
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) x)
(/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x)
(/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)
(/.f64 (pow.f64 (*.f64 (neg.f64 x) (/.f64 -1 y)) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) x)
(/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x)
(/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)
(/.f64 (pow.f64 (*.f64 (neg.f64 x) (/.f64 -1 y)) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) x)
(/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x)
(/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)
(/.f64 (pow.f64 (*.f64 (neg.f64 x) (/.f64 -1 y)) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) x)
(/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x)
(/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)
(/.f64 (pow.f64 (*.f64 (neg.f64 x) (/.f64 -1 y)) x) x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x y) x))) 1)
(pow.f64 (/.f64 x y) x)
(*.f64 (pow.f64 (/.f64 x y) x) 1)
(pow.f64 (/.f64 x y) x)
(*.f64 1 (pow.f64 (/.f64 x y) x))
(pow.f64 (/.f64 x y) x)
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (sqrt.f64 (pow.f64 (/.f64 x y) x)))
(pow.f64 (/.f64 x y) x)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) 2))
(pow.f64 (/.f64 x y) x)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) 2) (cbrt.f64 (pow.f64 (/.f64 x y) x)))
(pow.f64 (/.f64 x y) x)
(*.f64 (pow.f64 x x) (pow.f64 (/.f64 1 y) x))
(*.f64 (pow.f64 1 x) (pow.f64 (/.f64 x y) x))
(pow.f64 (/.f64 x y) x)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) x) (pow.f64 (sqrt.f64 (/.f64 x y)) x))
(pow.f64 (sqrt.f64 (/.f64 x y)) (*.f64 x 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) x) (pow.f64 (cbrt.f64 (/.f64 x y)) x))
(sqrt.f64 (pow.f64 (/.f64 x y) (*.f64 2 x)))
(pow.f64 (/.f64 x y) x)
(log.f64 (exp.f64 (pow.f64 (/.f64 x y) x)))
(pow.f64 (/.f64 x y) x)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 x y) x))))
(pow.f64 (/.f64 x y) x)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3))
(pow.f64 (/.f64 x y) x)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x y) x)))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 x (log.f64 (/.f64 x y))))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (*.f64 x (log.f64 (/.f64 x y))) 1))
(pow.f64 (/.f64 x y) x)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) x)))
(pow.f64 (/.f64 x y) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (/.f64 x y) x) x))) 1)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 (pow.f64 (/.f64 x y) x) (/.f64 1 x))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 1)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 1 (/.f64 (pow.f64 (/.f64 x y) x) x))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (*.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (/.f64 1 x)))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) 2) (*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) (/.f64 1 x)))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 2))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 2) (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 x y) x))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 (neg.f64 (pow.f64 (/.f64 x y) x)) (/.f64 1 (neg.f64 x)))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (pow.f64 (/.f64 x y) x) (sqrt.f64 x)))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 (/.f64 x y) x) (cbrt.f64 x)))
(/.f64 (/.f64 (pow.f64 (/.f64 x y) x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (pow.f64 (/.f64 x y) x) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) 1) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) x))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 (/.f64 x y) x) (cbrt.f64 x)))
(/.f64 (/.f64 (pow.f64 (/.f64 x y) x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (pow.f64 (/.f64 x y) x) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) x))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) (sqrt.f64 x)))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) 2) (cbrt.f64 (*.f64 x x))))
(pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 1)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 2)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 3)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3) 1/3)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(pow.f64 (/.f64 x (pow.f64 (/.f64 x y) x)) -1)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(neg.f64 (/.f64 (pow.f64 (/.f64 x y) x) (neg.f64 x)))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 2))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(log.f64 (exp.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (/.f64 x y) x) x))))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(exp.f64 (log.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 1))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
(/.f64 (pow.f64 (/.f64 x y) x) x)

eval22.0ms (0.5%)

Compiler

Compiled 1406 to 574 computations (59.2% saved)

prune15.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New94094
Fresh000
Picked011
Done033
Total94498
Error
0b
Counts
98 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
40.6b
(/.f64 (pow.f64 (/.f64 x y) x) x)
20.6b
(/.f64 (-.f64 1 y) x)
11.4b
(/.f64 (exp.f64 (neg.f64 y)) x)
10.0b
(/.f64 1 x)
Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes59.0ms (1.2%)

Counts
7 → 5
Calls
Call 1
Inputs
(/.f64 1 x)
(/.f64 (-.f64 1 y) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
(/.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) x)
Outputs
(/.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
Calls

3 calls:

22.0ms
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
20.0ms
y
15.0ms
x
Results
ErrorSegmentsBranch
0.1b3x
2.2b3y
0.0b5(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Compiler

Compiled 72 to 36 computations (50% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.47525664912323e-47
1.4950295070485586e-46
0.0ms
0.0
5.587717406454362e-305
0.0ms
-1.2066704760594414e-306
0.0
0.0ms
-6161.717549457079
-0.0011599723399255304
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes87.0ms (1.8%)

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

3 calls:

58.0ms
y
15.0ms
x
12.0ms
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Results
ErrorSegmentsBranch
0.6b3x
5.1b4y
4.4b3(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Compiler

Compiled 61 to 33 computations (45.9% saved)

bsearch34.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
1.4052888246173516e-10
2.524646346578212e-10
18.0ms
-9.416113813221444e+29
-4.401186434729971e+24
Results
28.0ms144×body256valid
3.0ms30×body256invalid
1.0ms10×body256infinite
Compiler

Compiled 144 to 111 computations (22.9% saved)

regimes7.0ms (0.1%)

Accuracy

Total -11.0b remaining (-109.5%)

Threshold costs -11.0b (-109.5%)

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

2 calls:

3.0ms
y
3.0ms
x
Results
ErrorSegmentsBranch
10.0b1x
10.0b1y
Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative
*-commutative
sub-neg
1-exp
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042339
153339
255339
356339
Stop Event
done
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) -5000) (/.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) x) (if (<=.f64 (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) 0) (/.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) x) (if (<=.f64 (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) 5142201741628769/51422017416287688817342786954917203280710495801049370729644032) (/.f64 (exp.f64 (neg.f64 y)) x) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)))))
(if (<=.f64 x -5000000000000000452984832) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x 4835703278458517/19342813113834066795298816) (/.f64 1 x) (/.f64 (exp.f64 (neg.f64 y)) x)))
(/.f64 1 x)
Outputs
(if (<=.f64 (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) -5000) (/.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) x) (if (<=.f64 (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) 0) (/.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) x) (if (<=.f64 (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) 5142201741628769/51422017416287688817342786954917203280710495801049370729644032) (/.f64 (exp.f64 (neg.f64 y)) x) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)))))
(if (<=.f64 x -5000000000000000452984832) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x 4835703278458517/19342813113834066795298816) (/.f64 1 x) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (or (<=.f64 x -5000000000000000452984832) (not (<=.f64 x 4835703278458517/19342813113834066795298816))) (/.f64 (exp.f64 (neg.f64 y)) x) (/.f64 1 x))
(/.f64 1 x)
Compiler

Compiled 123 to 46 computations (62.6% saved)

soundness336.0ms (6.9%)

Algorithm
egg-herbie
Rules
1286×associate-+r+
1018×associate-+l-
1018×associate-+l-
1018×associate-+l-
960×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01133
11825
22725
35825
412725
530825
680725
7284625
8698225
01133
11825
22725
35825
412725
530825
680725
7284625
8698225
02393178
17192720
230922390
01133
11825
22725
35825
412725
530825
680725
7284625
8698225
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 103 to 46 computations (55.3% saved)

end91.0ms (1.9%)

Compiler

Compiled 119 to 39 computations (67.2% saved)

Profiling

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