Details

Time bar (total: 6.9s)

analyze184.0ms (2.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
12.5%12.5%87.4%0.1%0%0%0%5
31.3%31.2%68.7%0.1%0%0%0%6
40.6%40.6%59.3%0.1%0%0%0%7
57.8%57.8%42.1%0.1%0%0%0%8
63.3%63.2%36.7%0.1%0%0%0%9
73.7%72.2%25.8%0.1%2%0%0%10
77.6%75.1%21.7%0.1%3.1%0%0%11
84.8%79.7%14.2%0.1%6%0%0%12
Compiler

Compiled 14 to 10 computations (28.6% saved)

sample1.7s (24.4%)

Results
1.6s8256×body256valid
77.0ms675×body256infinite
Bogosity

preprocess116.0ms (1.7%)

Algorithm
2×egg-herbie
Rules
1036×fma-def_binary64
832×cube-prod_binary64
475×distribute-rgt-in_binary64
432×distribute-lft-in_binary64
422×swap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01432
13828
26628
317028
436828
583028
6124728
7155328
8273128
9347728
10435128
11490228
12571828
13627728
14713428
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
(/.f64 (*.f64 y (+.f64 (/.f64 y x) 1)) (+.f64 y 1))
Outputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
(/.f64 (*.f64 y (+.f64 (/.f64 y x) 1)) (+.f64 y 1))
(/.f64 y (/.f64 (+.f64 y 1) (+.f64 1 (/.f64 y x))))
(/.f64 (fma.f64 y (/.f64 y x) y) (+.f64 y 1))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify81.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
971×fma-def_binary64
682×distribute-rgt-in_binary64
629×distribute-lft-in_binary64
559×associate-/l*_binary64
519×associate-/l/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0916
12214
23614
38114
414314
528514
674214
7108914
8162014
9185014
10228014
11294414
12327314
13381214
14771714
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
Outputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))

eval1.0ms (0%)

Compiler

Compiled 23 to 13 computations (43.5% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
8.3b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶8.3b
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
▶8.3b
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
Compiler

Compiled 25 to 16 computations (36% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x (+.f64 (/.f64 x y) 1))
✓7.8b
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
Compiler

Compiled 34 to 17 computations (50% saved)

series8.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite77.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
574×log-prod_binary64
475×prod-diff_binary64
279×pow2_binary64
271×fma-def_binary64
207×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0926
120922
2324522
Stop Event
1×node limit
Counts
2 → 108
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
(*.f64 x (+.f64 (/.f64 x y) 1))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (/.f64 x y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 x y) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 x y) 1) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (/.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (/.f64 x y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 x y) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 x y) 1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (/.f64 1 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (/.f64 x y)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 2) (cbrt.f64 (*.f64 x (/.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (/.f64 x y))) (sqrt.f64 (*.f64 x (/.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (sqrt.f64 x)) (sqrt.f64 x) x)))))

simplify67.0ms (1%)

Algorithm
1×egg-herbie
Rules
657×associate--l+_binary64
656×associate-+l-_binary64
508×unsub-neg_binary64
421×+-commutative_binary64
361×associate--r+_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
057699
1153699
2446625
32032596
47592590
Stop Event
1×node limit
Counts
156 → 135
Calls
Call 1
Inputs
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1))))) (/.f64 1 x))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(/.f64 (pow.f64 x 2) y)
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(/.f64 (pow.f64 x 2) y)
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(/.f64 (pow.f64 x 2) y)
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
Outputs
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)
(fma.f64 x (+.f64 (/.f64 x y) (neg.f64 x)) x)
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x))
(+.f64 x (*.f64 x (*.f64 (+.f64 (/.f64 1 y) -1) (+.f64 x (*.f64 x (neg.f64 x))))))
(+.f64 x (*.f64 x (*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x)))
(+.f64 x (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 1 y) -1) (*.f64 (+.f64 (/.f64 x y) (neg.f64 x)) (+.f64 x -1)))))
(+.f64 x (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 1 y) -1) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1)))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (+.f64 1 (/.f64 -1 y)) (-.f64 (/.f64 x y) (/.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y)) (/.f64 (+.f64 (/.f64 1 y) -1) x))
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (/.f64 -1 y)) (/.f64 (+.f64 1 (/.f64 -1 y)) x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y)))))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)) (+.f64 (/.f64 1 y) (/.f64 1 x))))))
(+.f64 1 (+.f64 (/.f64 -1 y) (+.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 (+.f64 (/.f64 1 y) -1) x)))))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))) (/.f64 1 x))
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (+.f64 1 (/.f64 -1 y)) (-.f64 (/.f64 x y) (/.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y)) (/.f64 (+.f64 (/.f64 1 y) -1) x))
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (/.f64 -1 y)) (/.f64 (+.f64 1 (/.f64 -1 y)) x)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1))))) (/.f64 1 x))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y)))))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)) (+.f64 (/.f64 1 y) (/.f64 1 x))))))
(+.f64 1 (+.f64 (/.f64 -1 y) (+.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 (+.f64 (/.f64 1 y) -1) x)))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 x (/.f64 x y) x)
✓7.8b
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
Compiler

Compiled 27 to 10 computations (63% saved)

series95.0ms (1.4%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
90.0ms
x
@inf
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
1.0ms
x
@-inf
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
1.0ms
x
@-inf
(fma.f64 x (/.f64 x y) x)
1.0ms
y
@0
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
1.0ms
y
@-inf
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))

rewrite73.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
643×unpow-prod-down_binary64
447×log-prod_binary64
263×pow-prod-down_binary64
235×pow2_binary64
199×prod-diff_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
117522
2247022
Stop Event
1×node limit
Counts
2 → 113
Calls
Call 1
Inputs
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
(fma.f64 x (/.f64 x y) x)
Outputs
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x y) x) 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (fma.f64 x (/.f64 x y) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) (log1p.f64 x)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (/.f64 x y)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (/.f64 x y) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (/.f64 x y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (/.f64 x y) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (/.f64 x y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 x y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (/.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x)) 2) (cbrt.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (/.f64 x y) x)) (sqrt.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 x (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x (/.f64 x y) x) (cbrt.f64 (fma.f64 x (/.f64 x y) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x))) 2) 3) (cbrt.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 x y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (/.f64 x y)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (/.f64 x y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x y)) 2) (*.f64 x x)) (-.f64 (*.f64 x (/.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (/.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (/.f64 x y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (/.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 x) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) (/.f64 x y)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (/.f64 x y) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (/.f64 x y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) 1) 1))))))

simplify76.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
630×associate--l+_binary64
573×associate-+l-_binary64
409×+-commutative_binary64
381×unsub-neg_binary64
331×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
059699
1158699
2446643
31901607
46695603
Stop Event
1×node limit
Counts
161 → 139
Calls
Call 1
Inputs
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x)))) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x))))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(/.f64 (pow.f64 x 2) y)
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(/.f64 (pow.f64 x 2) y)
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(/.f64 (pow.f64 x 2) y)
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
Outputs
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)
(fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) x)
(fma.f64 x (+.f64 (/.f64 x y) (neg.f64 x)) x)
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x))
(+.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))))
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x)))
(+.f64 (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x) (*.f64 (+.f64 (/.f64 x y) (neg.f64 x)) (+.f64 x (pow.f64 x 3))))
(+.f64 (fma.f64 (*.f64 x x) (-.f64 x (/.f64 x y)) x) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x (pow.f64 x 3))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 x y) (+.f64 1 (/.f64 -1 y)))
(+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y)))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 -1 x))))
(+.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))))
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (/.f64 1 (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 x (*.f64 x y)))))) (/.f64 -1 x)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 (/.f64 -1 x) (*.f64 x y)))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 x y) (+.f64 1 (/.f64 -1 y)))
(+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x)))) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y)))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 -1 x))))
(+.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x))))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))))
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (/.f64 1 (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 x (*.f64 x y)))))) (/.f64 -1 x)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 (/.f64 -1 x) (*.f64 x y)))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))

eval80.0ms (1.2%)

Compiler

Compiled 4627 to 2166 computations (53.2% saved)

prune67.0ms (1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New26311274
Fresh000
Picked101
Done101
Total26511276
Error
0.0b
Counts
276 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.2b
(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))))
35.5b
x
26.2b
(/.f64 x (+.f64 x 1))
▶8.3b
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
31.9b
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))) 2)
▶36.2b
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
▶44.9b
(/.f64 x y)
29.5b
(+.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))))
44.8b
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
8.4b
(pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -1)
▶46.4b
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
Compiler

Compiled 241 to 164 computations (32% saved)

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 1 (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
✓0.1b
(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))
✓0.2b
(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))))
Compiler

Compiled 49 to 28 computations (42.9% saved)

series11.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

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

rewrite86.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
618×log-prod_binary64
349×prod-diff_binary64
299×pow2_binary64
246×fma-def_binary64
235×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01045
123342
2349342
Stop Event
1×node limit
Counts
3 → 134
Calls
Call 1
Inputs
(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))))
(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))
(/.f64 1 (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (/.f64 1 (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y)))) 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1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) 2) (cbrt.f64 (/.f64 1 (+.f64 x 1))) (*.f64 (/.f64 x y) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1))) (sqrt.f64 (/.f64 1 (+.f64 x 1))) (*.f64 (/.f64 x y) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x) (*.f64 (/.f64 x y) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1) (*.f64 (/.f64 x y) (/.f64 1 (+.f64 x 1))))))))

simplify62.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
758×fma-def_binary64
578×times-frac_binary64
500×associate-+r+_binary64
365×associate-/l*_binary64
346×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01691721
15211678
218411424
Stop Event
1×node limit
Counts
206 → 215
Calls
Call 1
Inputs
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1))))) (/.f64 1 x))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
1
(+.f64 1 (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) (pow.f64 x 2)) (*.f64 (-.f64 1 (/.f64 1 y)) x)))
(+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) (pow.f64 x 2)) (*.f64 (-.f64 1 (/.f64 1 y)) x))))
y
(-.f64 (+.f64 (/.f64 y x) y) (/.f64 (pow.f64 y 2) x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 y (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (/.f64 y x) y)) (/.f64 (pow.f64 y 2) x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 y (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (pow.f64 y 2))) (pow.f64 x 3)) y))) (/.f64 (pow.f64 y 2) x))
y
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 (pow.f64 y 2))) x)) y)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 (pow.f64 y 2))) x)) (+.f64 y (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) (*.f64 -1 (pow.f64 y 2)))) (pow.f64 x 2))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 (pow.f64 y 2))) x)) (+.f64 y (+.f64 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) (*.f64 -1 (pow.f64 y 2)))) (pow.f64 x 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) (*.f64 -1 (pow.f64 y 2)))) (pow.f64 x 3))))))
(/.f64 (*.f64 y (+.f64 1 x)) x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) (/.f64 (*.f64 (+.f64 1 x) y) x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) (+.f64 (/.f64 (*.f64 (+.f64 1 x) y) x) (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 4) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) (+.f64 (/.f64 (*.f64 (+.f64 1 x) y) x) (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) x))))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 x) x) y)) x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 x) x) y)) (+.f64 (/.f64 (*.f64 (+.f64 1 x) (pow.f64 x 2)) (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 x) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 x) x) y)) (+.f64 (/.f64 (*.f64 (+.f64 1 x) (pow.f64 x 2)) (pow.f64 y 2)) x))))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 x) x) y)) x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 x) x) y)) (+.f64 (/.f64 (*.f64 (+.f64 1 x) (pow.f64 x 2)) (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 x) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 x) x) y)) (+.f64 (/.f64 (*.f64 (+.f64 1 x) (pow.f64 x 2)) (pow.f64 y 2)) x))))
1
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) 1)
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) (+.f64 1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))))
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) (+.f64 1 (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3)))))
(/.f64 1 y)
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 y x)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) x)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) x)))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) x)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3)))))) (/.f64 1 (pow.f64 x 2)))
(/.f64 x (*.f64 y (+.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (*.f64 (+.f64 1 x) y)))
(/.f64 1 (+.f64 1 x))
(+.f64 (/.f64 x (*.f64 (+.f64 1 x) y)) (/.f64 1 (+.f64 1 x)))
(+.f64 (/.f64 x (*.f64 (+.f64 1 x) y)) (/.f64 1 (+.f64 1 x)))
(+.f64 (/.f64 x (*.f64 (+.f64 1 x) y)) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (+.f64 1 x))
(+.f64 (/.f64 x (*.f64 (+.f64 1 x) y)) (/.f64 1 (+.f64 1 x)))
(+.f64 (/.f64 x (*.f64 (+.f64 1 x) y)) (/.f64 1 (+.f64 1 x)))
(+.f64 (/.f64 x (*.f64 (+.f64 1 x) y)) (/.f64 1 (+.f64 1 x)))
Outputs
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)
(fma.f64 x (+.f64 (/.f64 x y) (neg.f64 x)) x)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 x (+.f64 (/.f64 x y) (neg.f64 x)) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x))
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 x (+.f64 (/.f64 x y) (neg.f64 x)) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x)))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y)) (/.f64 (+.f64 (/.f64 1 y) -1) x))
(+.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) (/.f64 (+.f64 (/.f64 1 y) -1) x))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) 1)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x (*.f64 x y))))) (/.f64 1 y))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) y) (+.f64 (/.f64 x y) (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)) (+.f64 (/.f64 1 y) (/.f64 1 x))))))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))) (/.f64 1 x))
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y)) (/.f64 (+.f64 (/.f64 1 y) -1) x))
(+.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) (/.f64 (+.f64 (/.f64 1 y) -1) x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1))))) (/.f64 1 x))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (neg.f64 (+.f64 (/.f64 1 y) -1))))) (/.f64 1 x))
(+.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y)) (/.f64 (+.f64 (/.f64 1 y) -1) x)) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)))
(+.f64 (+.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) (/.f64 (+.f64 (/.f64 1 y) -1) x)) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
1
(+.f64 1 (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 1 (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) 1)
(+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) (pow.f64 x 2)) (*.f64 (-.f64 1 (/.f64 1 y)) x)))
(+.f64 1 (fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) (*.f64 x x) (*.f64 x (-.f64 1 (/.f64 1 y)))))
(+.f64 1 (fma.f64 (*.f64 x x) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)) (*.f64 x (+.f64 1 (/.f64 -1 y)))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (fma.f64 x (*.f64 x (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y))) 1))
(+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) (pow.f64 x 2)) (*.f64 (-.f64 1 (/.f64 1 y)) x))))
(+.f64 1 (fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) (*.f64 x x) (*.f64 x (-.f64 1 (/.f64 1 y))))))
(+.f64 1 (fma.f64 (pow.f64 x 3) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 3))) (fma.f64 (*.f64 x x) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)) (*.f64 x (+.f64 1 (/.f64 -1 y))))))
(fma.f64 (pow.f64 x 3) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 3))) (fma.f64 x (+.f64 1 (/.f64 -1 y)) (fma.f64 x (*.f64 x (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y))) 1)))
y
(-.f64 (+.f64 (/.f64 y x) y) (/.f64 (pow.f64 y 2) x))
(+.f64 (/.f64 y x) (-.f64 y (/.f64 (*.f64 y y) x)))
(+.f64 y (-.f64 (/.f64 y x) (/.f64 (*.f64 y y) x)))
(+.f64 y (/.f64 (-.f64 y (*.f64 y y)) x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 y (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (/.f64 y x) y)) (/.f64 (pow.f64 y 2) x))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 y (-.f64 y (*.f64 y y))) (*.f64 x x)) (+.f64 y (/.f64 y x))) (/.f64 (*.f64 y y) x))
(-.f64 (-.f64 (+.f64 y (/.f64 y x)) (/.f64 (-.f64 y (*.f64 y y)) (/.f64 (*.f64 x x) y))) (/.f64 (*.f64 y y) x))
(+.f64 y (*.f64 (/.f64 (-.f64 (*.f64 y y) y) x) (+.f64 (/.f64 y x) -1)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 y (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (pow.f64 y 2))) (pow.f64 x 3)) y))) (/.f64 (pow.f64 y 2) x))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 y (-.f64 y (*.f64 y y))) (*.f64 x x)) (+.f64 (/.f64 y x) (+.f64 y (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (-.f64 y (*.f64 y y))))))) (/.f64 (*.f64 y y) x))
(-.f64 (+.f64 (-.f64 (+.f64 y (/.f64 y x)) (/.f64 (-.f64 y (*.f64 y y)) (/.f64 (*.f64 x x) y))) (/.f64 (+.f64 (pow.f64 y 3) (neg.f64 (pow.f64 y 4))) (pow.f64 x 3))) (/.f64 (*.f64 y y) x))
(+.f64 (+.f64 y (*.f64 (/.f64 (-.f64 (*.f64 y y) y) x) (+.f64 (/.f64 y x) -1))) (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 y 4)) (pow.f64 x 3)))
y
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 (pow.f64 y 2))) x)) y)
(+.f64 (/.f64 y x) (-.f64 y (/.f64 (*.f64 y y) x)))
(+.f64 y (-.f64 (/.f64 y x) (/.f64 (*.f64 y y) x)))
(+.f64 y (/.f64 (-.f64 y (*.f64 y y)) x))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 (pow.f64 y 2))) x)) (+.f64 y (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) (*.f64 -1 (pow.f64 y 2)))) (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 y (-.f64 y (*.f64 y y))) (*.f64 x x)) (+.f64 y (/.f64 y x))) (/.f64 (*.f64 y y) x))
(-.f64 (-.f64 (+.f64 y (/.f64 y x)) (/.f64 (-.f64 y (*.f64 y y)) (/.f64 (*.f64 x x) y))) (/.f64 (*.f64 y y) x))
(+.f64 y (*.f64 (/.f64 (-.f64 (*.f64 y y) y) x) (+.f64 (/.f64 y x) -1)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 (pow.f64 y 2))) x)) (+.f64 y (+.f64 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) (*.f64 -1 (pow.f64 y 2)))) (pow.f64 x 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) (*.f64 -1 (pow.f64 y 2)))) (pow.f64 x 3))))))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 y (-.f64 y (*.f64 y y))) (*.f64 x x)) (+.f64 (/.f64 y x) (+.f64 y (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (-.f64 y (*.f64 y y))))))) (/.f64 (*.f64 y y) x))
(-.f64 (+.f64 (-.f64 (+.f64 y (/.f64 y x)) (/.f64 (-.f64 y (*.f64 y y)) (/.f64 (*.f64 x x) y))) (/.f64 (+.f64 (pow.f64 y 3) (neg.f64 (pow.f64 y 4))) (pow.f64 x 3))) (/.f64 (*.f64 y y) x))
(+.f64 (+.f64 y (*.f64 (/.f64 (-.f64 (*.f64 y y) y) x) (+.f64 (/.f64 y x) -1))) (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 y 4)) (pow.f64 x 3)))
(/.f64 (*.f64 y (+.f64 1 x)) x)
(/.f64 y (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 y x) (+.f64 x 1))
(/.f64 (fma.f64 x y y) x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) (/.f64 (*.f64 (+.f64 1 x) y) x))
(fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) (/.f64 y (/.f64 x (+.f64 x 1))))
(fma.f64 (*.f64 y (neg.f64 y)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (*.f64 (/.f64 y x) (+.f64 x 1)))
(-.f64 (/.f64 (fma.f64 x y y) x) (*.f64 y (+.f64 (/.f64 y x) (/.f64 y (*.f64 x x)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) (+.f64 (/.f64 (*.f64 (+.f64 1 x) y) x) (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) x)))
(+.f64 (fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) (/.f64 y (/.f64 x (+.f64 x 1)))) (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) x))
(+.f64 (fma.f64 (*.f64 y (neg.f64 y)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (*.f64 (/.f64 y x) (+.f64 x 1))) (*.f64 (/.f64 (pow.f64 y 3) x) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 (fma.f64 x y y) x) (*.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (+.f64 (neg.f64 (*.f64 y y)) (/.f64 (pow.f64 y 3) x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 4) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) (+.f64 (/.f64 (*.f64 (+.f64 1 x) y) x) (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) x))))
(fma.f64 -1 (*.f64 (pow.f64 y 4) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3)))) (+.f64 (fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) (/.f64 y (/.f64 x (+.f64 x 1)))) (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) x)))
(-.f64 (+.f64 (fma.f64 (*.f64 y (neg.f64 y)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (*.f64 (/.f64 y x) (+.f64 x 1))) (*.f64 (/.f64 (pow.f64 y 3) x) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))) (*.f64 (pow.f64 y 4) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 (fma.f64 x y y) x) (-.f64 (*.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (+.f64 (neg.f64 (*.f64 y y)) (/.f64 (pow.f64 y 3) x))) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 y (pow.f64 (/.f64 y x) 3)))))
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 x) x) y)) x))
(+.f64 1 (fma.f64 -1 (/.f64 (*.f64 x (+.f64 x 1)) y) x))
(+.f64 x (-.f64 1 (*.f64 (/.f64 (+.f64 x 1) y) x)))
(+.f64 x (-.f64 1 (/.f64 (fma.f64 x x x) y)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 x) x) y)) (+.f64 (/.f64 (*.f64 (+.f64 1 x) (pow.f64 x 2)) (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 -1 (/.f64 (*.f64 x (+.f64 x 1)) y) (+.f64 x (/.f64 (+.f64 x 1) (/.f64 (*.f64 y y) (*.f64 x x))))))
(+.f64 1 (+.f64 (-.f64 x (*.f64 (/.f64 (+.f64 x 1) y) x)) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (+.f64 x 1) y))))
(-.f64 (+.f64 (fma.f64 (*.f64 x (/.f64 x y)) (/.f64 (+.f64 x 1) y) x) 1) (/.f64 (fma.f64 x x x) y))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 x) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 x) x) y)) (+.f64 (/.f64 (*.f64 (+.f64 1 x) (pow.f64 x 2)) (pow.f64 y 2)) x))))
(+.f64 1 (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 3) (+.f64 x 1)) (pow.f64 y 3)) (fma.f64 -1 (/.f64 (*.f64 x (+.f64 x 1)) y) (+.f64 x (/.f64 (+.f64 x 1) (/.f64 (*.f64 y y) (*.f64 x x)))))))
(+.f64 1 (-.f64 (+.f64 (-.f64 x (*.f64 (/.f64 (+.f64 x 1) y) x)) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (+.f64 x 1) y))) (*.f64 (/.f64 (+.f64 x 1) (pow.f64 y 3)) (pow.f64 x 3))))
(+.f64 1 (-.f64 (fma.f64 (*.f64 x (/.f64 x y)) (/.f64 (+.f64 x 1) y) x) (*.f64 (/.f64 (+.f64 x 1) y) (+.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) x))))
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 x) x) y)) x))
(+.f64 1 (fma.f64 -1 (/.f64 (*.f64 x (+.f64 x 1)) y) x))
(+.f64 x (-.f64 1 (*.f64 (/.f64 (+.f64 x 1) y) x)))
(+.f64 x (-.f64 1 (/.f64 (fma.f64 x x x) y)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 x) x) y)) (+.f64 (/.f64 (*.f64 (+.f64 1 x) (pow.f64 x 2)) (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 -1 (/.f64 (*.f64 x (+.f64 x 1)) y) (+.f64 x (/.f64 (+.f64 x 1) (/.f64 (*.f64 y y) (*.f64 x x))))))
(+.f64 1 (+.f64 (-.f64 x (*.f64 (/.f64 (+.f64 x 1) y) x)) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (+.f64 x 1) y))))
(-.f64 (+.f64 (fma.f64 (*.f64 x (/.f64 x y)) (/.f64 (+.f64 x 1) y) x) 1) (/.f64 (fma.f64 x x x) y))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 x) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 x) x) y)) (+.f64 (/.f64 (*.f64 (+.f64 1 x) (pow.f64 x 2)) (pow.f64 y 2)) x))))
(+.f64 1 (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 3) (+.f64 x 1)) (pow.f64 y 3)) (fma.f64 -1 (/.f64 (*.f64 x (+.f64 x 1)) y) (+.f64 x (/.f64 (+.f64 x 1) (/.f64 (*.f64 y y) (*.f64 x x)))))))
(+.f64 1 (-.f64 (+.f64 (-.f64 x (*.f64 (/.f64 (+.f64 x 1) y) x)) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (+.f64 x 1) y))) (*.f64 (/.f64 (+.f64 x 1) (pow.f64 y 3)) (pow.f64 x 3))))
(+.f64 1 (-.f64 (fma.f64 (*.f64 x (/.f64 x y)) (/.f64 (+.f64 x 1) y) x) (*.f64 (/.f64 (+.f64 x 1) y) (+.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) x))))
1
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) 1)
(fma.f64 (+.f64 (/.f64 1 y) -1) x 1)
(fma.f64 x (+.f64 (/.f64 1 y) -1) 1)
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) (+.f64 1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))))
(+.f64 (fma.f64 (+.f64 (/.f64 1 y) -1) x 1) (*.f64 (*.f64 x x) (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 (/.f64 1 y) -1) (fma.f64 (*.f64 x x) (+.f64 1 (/.f64 -1 y)) 1))
(fma.f64 x (+.f64 (/.f64 1 y) -1) (fma.f64 x (+.f64 x (/.f64 (neg.f64 x) y)) 1))
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) (+.f64 1 (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3)))))
(+.f64 (fma.f64 (+.f64 (/.f64 1 y) -1) x 1) (fma.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x) (*.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 3))))
(+.f64 (fma.f64 x (+.f64 (/.f64 1 y) -1) 1) (fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 3) (*.f64 x (*.f64 x (+.f64 1 (/.f64 -1 y))))))
(+.f64 (fma.f64 x (+.f64 x (/.f64 (neg.f64 x) y)) 1) (*.f64 (+.f64 (/.f64 1 y) -1) (+.f64 (pow.f64 x 3) x)))
(/.f64 1 y)
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 y x)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x y))))
(+.f64 (/.f64 1 y) (/.f64 (+.f64 1 (/.f64 -1 y)) x))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x))))) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x (*.f64 x y))))) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (*.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) x) (/.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (*.f64 y (pow.f64 x 3)))))))
(-.f64 (-.f64 (+.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (*.f64 x (*.f64 x y)))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 (/.f64 1 (pow.f64 x 3)) y))) (/.f64 1 (*.f64 x y)))
(+.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (-.f64 (/.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) (+.f64 (/.f64 (/.f64 1 x) y) (/.f64 1 (*.f64 y (pow.f64 x 3))))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) x)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x y))))
(+.f64 (/.f64 1 y) (/.f64 (+.f64 1 (/.f64 -1 y)) x))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) x)))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x))))) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x (*.f64 x y))))) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (*.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) x) (/.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) x)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3)))))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (*.f64 x x))) (*.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 1 y) -1) x) (/.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 3)))))) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 y) (+.f64 (+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) x) (/.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3))) (/.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 y) -1) x) (+.f64 (/.f64 -1 (*.f64 x x)) -1)) (/.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x))))
(/.f64 x (*.f64 y (+.f64 1 x)))
(/.f64 x (*.f64 y (+.f64 x 1)))
(/.f64 x (+.f64 y (*.f64 x y)))
(/.f64 x (fma.f64 x y y))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (+.f64 y (*.f64 x y))))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (fma.f64 x y y)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (+.f64 y (*.f64 x y))))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (fma.f64 x y y)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (+.f64 y (*.f64 x y))))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (fma.f64 x y y)))
(/.f64 1 (+.f64 1 x))
(/.f64 1 (+.f64 x 1))
(+.f64 (/.f64 x (*.f64 (+.f64 1 x) y)) (/.f64 1 (+.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (+.f64 y (*.f64 x y))))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (fma.f64 x y y)))
(+.f64 (/.f64 x (*.f64 (+.f64 1 x) y)) (/.f64 1 (+.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (+.f64 y (*.f64 x y))))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (fma.f64 x y y)))
(+.f64 (/.f64 x (*.f64 (+.f64 1 x) y)) (/.f64 1 (+.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (+.f64 y (*.f64 x y))))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (fma.f64 x y y)))
(/.f64 1 (+.f64 1 x))
(/.f64 1 (+.f64 x 1))
(+.f64 (/.f64 x (*.f64 (+.f64 1 x) y)) (/.f64 1 (+.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (+.f64 y (*.f64 x y))))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (fma.f64 x y y)))
(+.f64 (/.f64 x (*.f64 (+.f64 1 x) y)) (/.f64 1 (+.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (+.f64 y (*.f64 x y))))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (fma.f64 x y y)))
(+.f64 (/.f64 x (*.f64 (+.f64 1 x) y)) (/.f64 1 (+.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (+.f64 y (*.f64 x y))))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (fma.f64 x y y)))

localize3.0ms (0%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 25 to 13 computations (48% saved)

series2.0ms (0%)

Counts
1 → 9
Calls

6 calls:

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

rewrite81.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
495×fma-def_binary64
435×log-prod_binary64
335×exp-prod_binary64
303×pow-prod-down_binary64
248×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0813
118410
2283810
Stop Event
1×node limit
Counts
1 → 152
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (-.f64 x 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (-.f64 x 1) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (-.f64 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (+.f64 1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 x y)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 x y)) (*.f64 (/.f64 -1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (-.f64 x 1) y)) (fma.f64 (/.f64 -1 y) 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (-.f64 x 1) y)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 y))) (cbrt.f64 (pow.f64 y -2)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (-.f64 x 1) y)) (+.f64 (/.f64 -1 y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (/.f64 (-.f64 x 1) y)))))) 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(pow.f64 y -2) (/.f64 (+.f64 1 (/.f64 x y)) y)))) (+.f64 (/.f64 -1 y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1) 1)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1) 1)) (*.f64 (/.f64 -1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 2) (pow.f64 y -2)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))) (fma.f64 (/.f64 -1 y) 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 2) (pow.f64 y -2)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 y))) (cbrt.f64 (pow.f64 y -2)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 2) (pow.f64 y -2)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))) (+.f64 (/.f64 -1 y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (/.f64 y x) -2)) (/.f64 1 (-.f64 1 (/.f64 x y))) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (/.f64 y x) -2)) (/.f64 1 (-.f64 1 (/.f64 x y))) (*.f64 (/.f64 -1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 y)) 2) (cbrt.f64 (/.f64 -1 y)) (+.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x 1) y)) 2) (cbrt.f64 (/.f64 (-.f64 x 1) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 y)) (sqrt.f64 (/.f64 -1 y)) (+.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 x 1) y)) (sqrt.f64 (/.f64 (-.f64 x 1) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 y -1/2)) (pow.f64 y -1/2) (+.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) y) (-.f64 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) y) (+.f64 1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) y) (-.f64 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) y) (+.f64 1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 x (cbrt.f64 y)) (-.f64 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 x (cbrt.f64 y)) (+.f64 1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 x y)) (-.f64 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 x y)) (+.f64 1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (-.f64 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (+.f64 1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (-.f64 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (+.f64 1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 y -1/2)) (-.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 y -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (pow.f64 y -1/2)) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (pow.f64 y -1/2)) (fma.f64 (/.f64 -1 y) 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (pow.f64 y -1/2)) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (pow.f64 y -1/2)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 y))) (cbrt.f64 (pow.f64 y -2)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (pow.f64 y -1/2)) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (pow.f64 y -1/2)) (+.f64 (/.f64 -1 y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y)) (+.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y)) (-.f64 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y)) (+.f64 1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 y -1/2)) (pow.f64 y -1/2) (-.f64 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 y -1/2)) (pow.f64 y -1/2) (+.f64 1 (/.f64 -1 y)))))))

simplify36.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
203×fma-neg_binary64
192×fma-def_binary64
74×unsub-neg_binary64
44×cancel-sign-sub-inv_binary64
40×sub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01566
13054
25754
38254
414754
540754
686154
7103354
8108754
9109354
Stop Event
1×saturated
Counts
161 → 160
Calls
Call 1
Inputs
(-.f64 1 (/.f64 1 y))
(/.f64 x y)
(/.f64 x y)
(/.f64 (-.f64 x 1) y)
1
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)))
Outputs
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(/.f64 x y)
(/.f64 x y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
1
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 1 (neg.f64 x)) y)))
(-.f64 1 (/.f64 (-.f64 1 x) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 1 (neg.f64 x)) y)))
(-.f64 1 (/.f64 (-.f64 1 x) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 1 (neg.f64 x)) y)))
(-.f64 1 (/.f64 (-.f64 1 x) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(+.f64 1 (/.f64 (+.f64 x -1) y))

localize25.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 x (/.f64 x y)) x)
✓0.1b
(*.f64 x (/.f64 x y))
✓7.8b
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
Compiler

Compiled 34 to 11 computations (67.6% saved)

series14.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

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

rewrite113.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
548×log-prod_binary64
352×pow-prod-down_binary64
325×fma-def_binary64
277×pow2_binary64
219×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
120529
2306929
Stop Event
1×node limit
Counts
3 → 144
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
(*.f64 x (/.f64 x y))
(+.f64 (*.f64 x (/.f64 x y)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (/.f64 x y) x) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -2)) (cbrt.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x)) 2) (*.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x)) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))) (sqrt.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (/.f64 x y) x)) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 x y) x)) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x (/.f64 x y) x)) (/.f64 1 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (fma.f64 x (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x (/.f64 x y) x)) 1) (/.f64 (sqrt.f64 (fma.f64 x (/.f64 x y) x)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) (/.f64 (fma.f64 x (/.f64 x y) x) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x (/.f64 x y) x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 (fma.f64 x (/.f64 x y) x)) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) -1/2) (/.f64 (fma.f64 x (/.f64 x y) x) (hypot.f64 1 (sqrt.f64 x))))))) 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simplify87.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
630×associate--l+_binary64
573×associate-+l-_binary64
409×+-commutative_binary64
381×unsub-neg_binary64
331×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
059867
1158867
2446811
31901775
46695771
Stop Event
1×node limit
Counts
216 → 171
Calls
Call 1
Inputs
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x)))) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x))))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(/.f64 (pow.f64 x 2) y)
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(/.f64 (pow.f64 x 2) y)
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(/.f64 (pow.f64 x 2) y)
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
Outputs
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)
(fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) x)
(fma.f64 x (+.f64 (/.f64 x y) (neg.f64 x)) x)
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x))
(+.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))))
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x)))
(+.f64 (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x) (*.f64 (+.f64 (/.f64 x y) (neg.f64 x)) (+.f64 x (pow.f64 x 3))))
(+.f64 (fma.f64 (*.f64 x x) (-.f64 x (/.f64 x y)) x) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x (pow.f64 x 3))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 x y) (+.f64 1 (/.f64 -1 y)))
(+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y)))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 -1 x))))
(+.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))))
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (/.f64 1 (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 x (*.f64 x y)))))) (/.f64 -1 x)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 (/.f64 -1 x) (*.f64 x y)))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 x y) (+.f64 1 (/.f64 -1 y)))
(+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x)))) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y)))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 -1 x))))
(+.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x))))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))))
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (/.f64 1 (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 x (*.f64 x y)))))) (/.f64 -1 x)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 (/.f64 -1 x) (*.f64 x y)))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 y (+.f64 1 x))
✓17.0b
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
Compiler

Compiled 26 to 17 computations (34.6% saved)

series7.0ms (0.1%)

Counts
2 → 36
Calls

12 calls:

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

rewrite70.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
458×log-prod_binary64
383×prod-diff_binary64
349×exp-prod_binary64
297×pow-prod-down_binary64
236×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0920
119820
2268016
Stop Event
1×node limit
Counts
2 → 118
Calls
Call 1
Inputs
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(*.f64 y (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (/.f64 (fma.f64 x y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 x y y) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (fma.f64 x y y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (/.f64 1 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (/.f64 (fma.f64 x y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (fma.f64 x y y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) 4)) (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) (/.f64 x (sqrt.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x y y)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 y x)) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (*.f64 x x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 x) x) y) (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 x) x) 1) (/.f64 (cbrt.f64 (*.f64 x x)) (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 x) x) (+.f64 x 1)) (/.f64 (cbrt.f64 (*.f64 x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x y y)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x y y)) -2) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 (fma.f64 x y y)) 2)) (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x y y) -1/2) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 x) x) (sqrt.f64 (fma.f64 x y y))) (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (/.f64 y x)) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (/.f64 y x)) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (fma.f64 x y y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x y y) (pow.f64 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x y y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 x y y) (pow.f64 x -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 x y y) x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 x y y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))))) (sqrt.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 x y y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (fma.f64 x y y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x y y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x y y) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x y y) (pow.f64 x -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (*.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x y y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x y y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y y)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 y (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 x y) 2)) (-.f64 y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) y) (fma.f64 x (-.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x y y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x y y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x y y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x y y))) 2)) (cbrt.f64 (log.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x y y)))) (sqrt.f64 (log.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x y y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (pow.f64 (exp.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x y y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x y y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x y y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 (*.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 (*.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 (*.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 1) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 1) (*.f64 (*.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (*.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 1) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 1) (*.f64 (*.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) y)))))

simplify64.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
438×difference-of-squares_binary64
313×sub-neg_binary64
306×associate-/l/_binary64
305×distribute-neg-frac_binary64
256×associate-*l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
039370
197324
2229324
3573315
42108303
55808303
Stop Event
1×node limit
Counts
154 → 139
Calls
Call 1
Inputs
(/.f64 (pow.f64 x 2) y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 2) y))))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
y
(+.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) y)
(*.f64 y x)
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(*.f64 y x)
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
Outputs
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (*.f64 x x) y) (/.f64 (pow.f64 x 3) y))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y)) (/.f64 (pow.f64 x 4) y))
(+.f64 (/.f64 (*.f64 x x) y) (-.f64 (/.f64 (pow.f64 x 4) y) (/.f64 (pow.f64 x 3) y)))
(+.f64 (-.f64 (/.f64 (*.f64 x x) y) (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 4) y))
(+.f64 (*.f64 (/.f64 x y) (-.f64 x (*.f64 x x))) (/.f64 (pow.f64 x 4) y))
(*.f64 (/.f64 x y) (-.f64 (pow.f64 x 3) (-.f64 (*.f64 x x) x)))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 2) y))))
(+.f64 (/.f64 (pow.f64 x 4) y) (fma.f64 -1 (/.f64 (pow.f64 x 3) y) (fma.f64 -1 (/.f64 (pow.f64 x 5) y) (/.f64 (*.f64 x x) y))))
(+.f64 (/.f64 (pow.f64 x 4) y) (-.f64 (-.f64 (/.f64 (*.f64 x x) y) (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 3) y)))
(+.f64 (/.f64 (*.f64 x x) y) (-.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (/.f64 (pow.f64 x 3) y) (/.f64 (pow.f64 x 5) y))))
(+.f64 (*.f64 (/.f64 x y) (-.f64 x (*.f64 x x))) (-.f64 (/.f64 (pow.f64 x 4) y) (/.f64 (pow.f64 x 5) y)))
(-.f64 (*.f64 (/.f64 x y) (-.f64 (pow.f64 x 3) (-.f64 (*.f64 x x) x))) (/.f64 (pow.f64 x 5) y))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 x y) (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 (-.f64 (/.f64 x y) (/.f64 1 y)) (/.f64 1 (*.f64 x y)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 -1 y)))
(-.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 1 y) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 (*.f64 x x) y)))))
(+.f64 (/.f64 x y) (-.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 (*.f64 x x) y)))))
(+.f64 (/.f64 -1 y) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 -1 (*.f64 x (*.f64 x y))))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 (*.f64 x x) y)))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 -1 y) (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 1 (*.f64 x y)))))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 x y) (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 (-.f64 (/.f64 x y) (/.f64 1 y)) (/.f64 1 (*.f64 x y)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 -1 y)))
(-.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 1 y) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 (*.f64 x x) y)))))
(+.f64 (/.f64 x y) (-.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 (*.f64 x x) y)))))
(+.f64 (/.f64 -1 y) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 -1 (*.f64 x (*.f64 x y))))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 (*.f64 x x) y)))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 -1 y) (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 1 (*.f64 x y)))))
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 x 1))
(fma.f64 x y y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 x 1))
(fma.f64 x y y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 x 1))
(fma.f64 x y y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 x 1))
(fma.f64 x y y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 x 1))
(fma.f64 x y y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 x 1))
(fma.f64 x y y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 x 1))
(fma.f64 x y y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 x 1))
(fma.f64 x y y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 x 1))
(fma.f64 x y y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 x 1))
(fma.f64 x y y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 x 1))
(fma.f64 x y y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 x 1))
(fma.f64 x y y)
y
(+.f64 (*.f64 y x) y)
(*.f64 y (+.f64 x 1))
(fma.f64 x y y)
(+.f64 (*.f64 y x) y)
(*.f64 y (+.f64 x 1))
(fma.f64 x y y)
(+.f64 (*.f64 y x) y)
(*.f64 y (+.f64 x 1))
(fma.f64 x y y)
(*.f64 y x)
(*.f64 x y)
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 x 1))
(fma.f64 x y y)
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 x 1))
(fma.f64 x y y)
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 x 1))
(fma.f64 x y y)
(*.f64 y x)
(*.f64 x y)
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 x 1))
(fma.f64 x y y)
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 x 1))
(fma.f64 x y y)
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 x 1))
(fma.f64 x y y)

eval212.0ms (3.1%)

Compiler

Compiled 11391 to 6460 computations (43.3% saved)

prune112.0ms (1.6%)

Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New67411685
Fresh336
Picked101
Done224
Total68016696
Error
0b
Counts
696 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
✓44.9b
(/.f64 x y)
▶53.8b
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
35.5b
x
53.0b
1
▶53.6b
(*.f64 x (/.f64 x y))
✓8.3b
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
26.2b
(/.f64 x (+.f64 x 1))
8.3b
(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x 1))
▶36.2b
(+.f64 (/.f64 (-.f64 x 1) y) 1)
▶45.2b
(/.f64 (-.f64 x 1) y)
29.5b
(+.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))))
44.8b
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
▶0.1b
(/.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 1 (/.f64 x y))))
37.8b
(/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 2) x) (+.f64 x 1))
40.9b
(*.f64 x (/.f64 x (*.f64 y (+.f64 1 x))))
26.2b
(*.f64 x (/.f64 1 (+.f64 x 1)))
Compiler

Compiled 286 to 194 computations (32.2% saved)

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 x (+.f64 x 1))
✓0.1b
(/.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 1 (/.f64 x y))))
✓0.1b
(/.f64 1 (+.f64 1 (/.f64 x y)))
Compiler

Compiled 41 to 23 computations (43.9% saved)

series6.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

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

rewrite94.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
626×log-prod_binary64
415×prod-diff_binary64
365×fma-def_binary64
288×log-div_binary64
215×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
123733
2368633
Stop Event
1×node limit
Counts
3 → 162
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (/.f64 x y)))
(/.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 1 (/.f64 x y))))
(/.f64 x (+.f64 x 1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 1 x)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 1 x)) (*.f64 (/.f64 x (+.f64 1 x)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 1 x)) (/.f64 x y)) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 1 x))) (+.f64 1 (/.f64 x y)))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 1 x))) (+.f64 1 (/.f64 x y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 1 x))) (+.f64 1 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 1 x))) (+.f64 1 (/.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 1 x))) (+.f64 1 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 (+.f64 1 x) (+.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 1 (+.f64 1 x)) (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 x)) (+.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule 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simplify94.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
763×fma-neg_binary64
465×cancel-sign-sub-inv_binary64
426×sub-neg_binary64
324×fma-def_binary64
296×associate-/l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0901114
12671065
2835939
33737897
Stop Event
1×node limit
Counts
222 → 210
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))))
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1))))) (/.f64 1 x))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
Outputs
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (neg.f64 (/.f64 x y)))
(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 x y) (/.f64 x y)))
(+.f64 1 (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 (-.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y)))
(+.f64 1 (-.f64 (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1)) (pow.f64 (/.f64 x y) 3)))
(+.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1)))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))))
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 y x))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 3)) (*.f64 (/.f64 y x) (/.f64 y x)))
(+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 y x)) (pow.f64 (/.f64 y x) 3))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(+.f64 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))
(+.f64 (/.f64 y x) (-.f64 (pow.f64 (/.f64 y x) 3) (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(*.f64 (+.f64 (/.f64 y (*.f64 x (/.f64 x y))) 1) (*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 y x)))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))))
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 y x))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 3)) (*.f64 (/.f64 y x) (/.f64 y x)))
(+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 y x)) (pow.f64 (/.f64 y x) 3))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(+.f64 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))
(+.f64 (/.f64 y x) (-.f64 (pow.f64 (/.f64 y x) 3) (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(*.f64 (+.f64 (/.f64 y (*.f64 x (/.f64 x y))) 1) (*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 y x)))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))))
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 y x))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 3)) (*.f64 (/.f64 y x) (/.f64 y x)))
(+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 y x)) (pow.f64 (/.f64 y x) 3))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(+.f64 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))
(+.f64 (/.f64 y x) (-.f64 (pow.f64 (/.f64 y x) 3) (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(*.f64 (+.f64 (/.f64 y (*.f64 x (/.f64 x y))) 1) (*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 y x)))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (neg.f64 (/.f64 x y)))
(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 x y) (/.f64 x y)))
(+.f64 1 (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 (-.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y)))
(+.f64 1 (-.f64 (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1)) (pow.f64 (/.f64 x y) 3)))
(+.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1)))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (neg.f64 (/.f64 x y)))
(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 x y) (/.f64 x y)))
(+.f64 1 (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 (-.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y)))
(+.f64 1 (-.f64 (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1)) (pow.f64 (/.f64 x y) 3)))
(+.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1)))
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)
(fma.f64 (*.f64 x x) (+.f64 -1 (/.f64 1 y)) x)
(fma.f64 x (*.f64 x (+.f64 -1 (/.f64 1 y))) x)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)) (fma.f64 (*.f64 x x) (+.f64 -1 (/.f64 1 y)) x))
(fma.f64 x (*.f64 x (+.f64 -1 (/.f64 1 y))) (fma.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)) x))
(+.f64 x (*.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 x (fma.f64 x (neg.f64 x) x))))
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (pow.f64 x 4) (+.f64 -1 (/.f64 1 y)) (fma.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)) (fma.f64 (*.f64 x x) (+.f64 -1 (/.f64 1 y)) x)))
(fma.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)) (fma.f64 (pow.f64 x 4) (+.f64 -1 (/.f64 1 y)) (fma.f64 x (*.f64 x (+.f64 -1 (/.f64 1 y))) x)))
(+.f64 (fma.f64 (*.f64 x x) (-.f64 x (/.f64 x y)) x) (*.f64 (+.f64 -1 (/.f64 1 y)) (fma.f64 x x (pow.f64 x 4))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(+.f64 (/.f64 x y) (+.f64 1 (/.f64 -1 y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 1 (+.f64 (/.f64 x y) (-.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 x)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 -1 y)) (/.f64 (+.f64 -1 (/.f64 1 y)) x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(-.f64 (+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (/.f64 1 (*.f64 x x)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 (/.f64 1 y) (*.f64 x x)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x (*.f64 x y))))))))
(+.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 (/.f64 1 x) y))) (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)) (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 (/.f64 1 x) y) (+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)) (+.f64 (/.f64 -1 y) (/.f64 -1 x))))))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(+.f64 (/.f64 x y) (+.f64 1 (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))) (/.f64 1 x))
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 1 (+.f64 (/.f64 x y) (-.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 x)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 -1 y)) (/.f64 (+.f64 -1 (/.f64 1 y)) x)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1))))) (/.f64 1 x))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (neg.f64 (+.f64 (/.f64 1 y) -1)))) (/.f64 1 x))
(+.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 1 (/.f64 -1 y)))) (+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)) (/.f64 -1 x)))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (-.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) x) (/.f64 1 y))) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x))))
(+.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) (*.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 (+.f64 -1 (/.f64 1 y)) x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/.f64 x (/.f64 (fma.f64 x y y) x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x)))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(+.f64 x (*.f64 (*.f64 x x) (+.f64 -1 x)))
(*.f64 x (-.f64 (fma.f64 x x 1) x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (+.f64 x (pow.f64 x 3))))
(-.f64 (-.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)) (*.f64 x x))
(-.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(*.f64 (fma.f64 x x 1) (fma.f64 x (neg.f64 x) x))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (/.f64 x y))
Compiler

Compiled 12 to 4 computations (66.7% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

series10.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(/.f64 (-.f64 x 1) y)
1.0ms
y
@0
(/.f64 (-.f64 x 1) y)
1.0ms
y
@inf
(/.f64 (-.f64 x 1) y)
1.0ms
y
@-inf
(/.f64 (-.f64 x 1) y)
1.0ms
x
@0
(/.f64 (-.f64 x 1) y)

rewrite81.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
735×pow1_binary64
687×add-log-exp_binary64
686×log1p-expm1-u_binary64
686×expm1-log1p-u_binary64
673×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11327
218307
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (-.f64 x 1) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (neg.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x -1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x -1) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) y)) 2) (cbrt.f64 (/.f64 (+.f64 x -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (*.f64 (cbrt.f64 (+.f64 x -1)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x -1) y)) (sqrt.f64 (/.f64 (+.f64 x -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 x) 1) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x -1)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) 1) (/.f64 (sqrt.f64 (+.f64 x -1)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 x -1) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 x -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 x -1)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 x -1) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x -1)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x -1) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x -1) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x -1) y)))))))

simplify53.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
97×fma-def_binary64
93×fma-neg_binary64
32×distribute-rgt-in_binary64
31×cancel-sign-sub-inv_binary64
26×associate-*l*_binary64
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
09102
113102
217102
325102
435102
554102
695102
7140102
8208102
9295102
1046675
1161575
1267275
1367575
Stop Event
1×saturated
Counts
45 → 36
Calls
Call 1
Inputs
(/.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))
Outputs
(/.f64 -1 y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 x y) (/.f64 -1 y))
(*.f64 (/.f64 1 y) (+.f64 -1 x))
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 x y) (/.f64 -1 y))
(*.f64 (/.f64 1 y) (+.f64 -1 x))
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 x y) (/.f64 -1 y))
(*.f64 (/.f64 1 y) (+.f64 -1 x))
(/.f64 (+.f64 -1 x) y)
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 x y) (/.f64 -1 y))
(*.f64 (/.f64 1 y) (+.f64 -1 x))
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 x y) (/.f64 -1 y))
(*.f64 (/.f64 1 y) (+.f64 -1 x))
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 x y) (/.f64 -1 y))
(*.f64 (/.f64 1 y) (+.f64 -1 x))
(/.f64 (+.f64 -1 x) y)
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 x y) (/.f64 -1 y))
(*.f64 (/.f64 1 y) (+.f64 -1 x))
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 x y) (/.f64 -1 y))
(*.f64 (/.f64 1 y) (+.f64 -1 x))
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 x y) (/.f64 -1 y))
(*.f64 (/.f64 1 y) (+.f64 -1 x))
(/.f64 (+.f64 -1 x) y)

localize19.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 13 computations (35% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite84.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
928×pow1_binary64
867×add-log-exp_binary64
867×log1p-expm1-u_binary64
867×expm1-log1p-u_binary64
850×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
116110
2234410
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 x 1) y) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x y) (-.f64 (/.f64 1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (/.f64 (+.f64 x -1) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 2) (+.f64 (/.f64 (+.f64 x -1) y) -1)) (/.f64 1 (+.f64 (/.f64 (+.f64 x -1) y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (+.f64 x -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))) 2) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))) (sqrt.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 x -1) y) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 2) (-.f64 1 (/.f64 (+.f64 x -1) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 2) -1) (/.f64 1 (+.f64 (/.f64 (+.f64 x -1) y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 2) (-.f64 1 (/.f64 (+.f64 x -1) y))) (+.f64 1 (pow.f64 (/.f64 (+.f64 x -1) y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 x -1) y) -1) (+.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 x -1) y) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 2) (-.f64 1 (/.f64 (+.f64 x -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 x -1) y) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 2) (/.f64 (+.f64 x -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 2) -1) (+.f64 (/.f64 (+.f64 x -1) y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 x -1) y) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 2) (-.f64 1 (/.f64 (+.f64 x -1) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 2) -1)) (neg.f64 (+.f64 (/.f64 (+.f64 x -1) y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 x -1) y) 2)) (-.f64 1 (/.f64 (+.f64 x -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (+.f64 x -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 x -1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -1) (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) y)) 2) (cbrt.f64 (/.f64 (+.f64 x -1) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 x -1) y)) (sqrt.f64 (/.f64 (+.f64 x -1) y)) 1)))))

simplify43.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
198×fma-def_binary64
174×fma-neg_binary64
63×distribute-rgt-in_binary64
61×cancel-sign-sub-inv_binary64
41×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011204
122204
231204
349204
475204
5116204
6205204
7352204
8506204
9631204
10805204
11999204
121084204
131128204
Stop Event
1×saturated
Counts
57 → 40
Calls
Call 1
Inputs
(-.f64 1 (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(/.f64 (-.f64 x 1) y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
1
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
1
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
Outputs
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
1
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
1
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (*.f64 x x))
✓1.3b
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
Compiler

Compiled 24 to 6 computations (75% saved)

series7.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
1.0ms
y
@0
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
1.0ms
x
@0
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
1.0ms
x
@inf
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
1.0ms
y
@inf
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))

rewrite70.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
944×pow1_binary64
883×add-log-exp_binary64
883×log1p-expm1-u_binary64
883×expm1-log1p-u_binary64
86×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
116020
2245320
Stop Event
1×node limit
Counts
2 → 81
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(-.f64 x (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 x y)) (*.f64 (*.f64 x (neg.f64 x)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 x y) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (-.f64 x (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (-.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (*.f64 x x)) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x (-.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 6)) (*.f64 (/.f64 y x) (fma.f64 x x (+.f64 (pow.f64 x 4) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x (neg.f64 (pow.f64 x 4))) (*.f64 (/.f64 y x) (*.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 x (*.f64 x x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 x x)))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (pow.f64 x 3) (pow.f64 x 6))) (*.f64 y (fma.f64 x x (+.f64 (pow.f64 x 4) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 x 6))) (*.f64 (neg.f64 y) (fma.f64 x x (+.f64 (pow.f64 x 4) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 x x (neg.f64 (pow.f64 x 4)))) (*.f64 y (*.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (fma.f64 x x (neg.f64 (pow.f64 x 4)))) (*.f64 (neg.f64 y) (*.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 6)) x) (*.f64 (fma.f64 x x (+.f64 (pow.f64 x 4) (pow.f64 x 3))) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x (neg.f64 (pow.f64 x 4))) x) (*.f64 (*.f64 x (+.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 6)) 1) (*.f64 (fma.f64 x x (+.f64 (pow.f64 x 4) (pow.f64 x 3))) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x (neg.f64 (pow.f64 x 4))) 1) (*.f64 (*.f64 x (+.f64 1 x)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 6)) (neg.f64 x)) (*.f64 (fma.f64 x x (+.f64 (pow.f64 x 4) (pow.f64 x 3))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x (neg.f64 (pow.f64 x 4))) (neg.f64 x)) (*.f64 (*.f64 x (+.f64 1 x)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 x x))) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 x x))) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 x x))) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 x x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 x y)) (fma.f64 x x (+.f64 (pow.f64 x 4) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x (neg.f64 (pow.f64 x 4))) (/.f64 x y)) (*.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (-.f64 (pow.f64 x 3) (pow.f64 x 6))) (fma.f64 x x (+.f64 (pow.f64 x 4) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (fma.f64 x x (neg.f64 (pow.f64 x 4)))) (*.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (*.f64 x x)) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) (-.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 x (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 x (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 x (*.f64 x x))) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (-.f64 x (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 x (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (-.f64 x (*.f64 x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 x (*.f64 x x)) 3) (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x x)) (fma.f64 (neg.f64 x) x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (neg.f64 x)) 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x x))) 2) (cbrt.f64 (-.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 x x))) (sqrt.f64 (-.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 x 4) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x (neg.f64 (pow.f64 x 4))) (/.f64 1 (*.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) x) (-.f64 (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (+.f64 (pow.f64 x 4) (pow.f64 x 3))) (-.f64 (pow.f64 x 3) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (+.f64 1 x)) (fma.f64 x x (neg.f64 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (+.f64 (pow.f64 x 4) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x (neg.f64 (pow.f64 x 4))) (*.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 6))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 x 4) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x (neg.f64 (pow.f64 x 4)))) (neg.f64 (*.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 x (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 x)))))))

simplify62.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
634×fma-neg_binary64
536×unswap-sqr_binary64
509×cancel-sign-sub-inv_binary64
492×associate-*l*_binary64
434×associate-*r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017458
143374
295374
3228374
4815374
54092374
Stop Event
1×node limit
Counts
117 → 93
Calls
Call 1
Inputs
(/.f64 (pow.f64 x 2) y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(*.f64 -1 (/.f64 (pow.f64 x 3) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(*.f64 -1 (/.f64 (pow.f64 x 3) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 (-.f64 x (pow.f64 x 2)) x) y)
(/.f64 (*.f64 (-.f64 x (pow.f64 x 2)) x) y)
(/.f64 (*.f64 (-.f64 x (pow.f64 x 2)) x) y)
(/.f64 (*.f64 (-.f64 x (pow.f64 x 2)) x) y)
(/.f64 (*.f64 (-.f64 x (pow.f64 x 2)) x) y)
(/.f64 (*.f64 (-.f64 x (pow.f64 x 2)) x) y)
(/.f64 (*.f64 (-.f64 x (pow.f64 x 2)) x) y)
(/.f64 (*.f64 (-.f64 x (pow.f64 x 2)) x) y)
(/.f64 (*.f64 (-.f64 x (pow.f64 x 2)) x) y)
(/.f64 (*.f64 (-.f64 x (pow.f64 x 2)) x) y)
(/.f64 (*.f64 (-.f64 x (pow.f64 x 2)) x) y)
(/.f64 (*.f64 (-.f64 x (pow.f64 x 2)) x) y)
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
Outputs
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(/.f64 (-.f64 x (*.f64 x x)) (/.f64 y x))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) x) (/.f64 x y))
(*.f64 x (*.f64 (/.f64 x y) (-.f64 1 x)))
(*.f64 x (/.f64 (fma.f64 x (neg.f64 x) x) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(/.f64 (-.f64 x (*.f64 x x)) (/.f64 y x))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) x) (/.f64 x y))
(*.f64 x (*.f64 (/.f64 x y) (-.f64 1 x)))
(*.f64 x (/.f64 (fma.f64 x (neg.f64 x) x) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(/.f64 (-.f64 x (*.f64 x x)) (/.f64 y x))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) x) (/.f64 x y))
(*.f64 x (*.f64 (/.f64 x y) (-.f64 1 x)))
(*.f64 x (/.f64 (fma.f64 x (neg.f64 x) x) y))
(*.f64 -1 (/.f64 (pow.f64 x 3) y))
(neg.f64 (/.f64 (pow.f64 x 3) y))
(/.f64 (neg.f64 (pow.f64 x 3)) y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(/.f64 (-.f64 x (*.f64 x x)) (/.f64 y x))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) x) (/.f64 x y))
(*.f64 x (*.f64 (/.f64 x y) (-.f64 1 x)))
(*.f64 x (/.f64 (fma.f64 x (neg.f64 x) x) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(/.f64 (-.f64 x (*.f64 x x)) (/.f64 y x))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) x) (/.f64 x y))
(*.f64 x (*.f64 (/.f64 x y) (-.f64 1 x)))
(*.f64 x (/.f64 (fma.f64 x (neg.f64 x) x) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(/.f64 (-.f64 x (*.f64 x x)) (/.f64 y x))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) x) (/.f64 x y))
(*.f64 x (*.f64 (/.f64 x y) (-.f64 1 x)))
(*.f64 x (/.f64 (fma.f64 x (neg.f64 x) x) y))
(*.f64 -1 (/.f64 (pow.f64 x 3) y))
(neg.f64 (/.f64 (pow.f64 x 3) y))
(/.f64 (neg.f64 (pow.f64 x 3)) y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(/.f64 (-.f64 x (*.f64 x x)) (/.f64 y x))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) x) (/.f64 x y))
(*.f64 x (*.f64 (/.f64 x y) (-.f64 1 x)))
(*.f64 x (/.f64 (fma.f64 x (neg.f64 x) x) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(/.f64 (-.f64 x (*.f64 x x)) (/.f64 y x))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) x) (/.f64 x y))
(*.f64 x (*.f64 (/.f64 x y) (-.f64 1 x)))
(*.f64 x (/.f64 (fma.f64 x (neg.f64 x) x) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(/.f64 (-.f64 x (*.f64 x x)) (/.f64 y x))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) x) (/.f64 x y))
(*.f64 x (*.f64 (/.f64 x y) (-.f64 1 x)))
(*.f64 x (/.f64 (fma.f64 x (neg.f64 x) x) y))
(/.f64 (*.f64 (-.f64 x (pow.f64 x 2)) x) y)
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(/.f64 (-.f64 x (*.f64 x x)) (/.f64 y x))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) x) (/.f64 x y))
(*.f64 x (*.f64 (/.f64 x y) (-.f64 1 x)))
(*.f64 x (/.f64 (fma.f64 x (neg.f64 x) x) y))
(/.f64 (*.f64 (-.f64 x (pow.f64 x 2)) x) y)
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(/.f64 (-.f64 x (*.f64 x x)) (/.f64 y x))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) x) (/.f64 x y))
(*.f64 x (*.f64 (/.f64 x y) (-.f64 1 x)))
(*.f64 x (/.f64 (fma.f64 x (neg.f64 x) x) y))
(/.f64 (*.f64 (-.f64 x (pow.f64 x 2)) x) y)
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(/.f64 (-.f64 x (*.f64 x x)) (/.f64 y x))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) x) (/.f64 x y))
(*.f64 x (*.f64 (/.f64 x y) (-.f64 1 x)))
(*.f64 x (/.f64 (fma.f64 x (neg.f64 x) x) y))
(/.f64 (*.f64 (-.f64 x (pow.f64 x 2)) x) y)
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(/.f64 (-.f64 x (*.f64 x x)) (/.f64 y x))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) x) (/.f64 x y))
(*.f64 x (*.f64 (/.f64 x y) (-.f64 1 x)))
(*.f64 x (/.f64 (fma.f64 x (neg.f64 x) x) y))
(/.f64 (*.f64 (-.f64 x (pow.f64 x 2)) x) y)
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(/.f64 (-.f64 x (*.f64 x x)) (/.f64 y x))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) x) (/.f64 x y))
(*.f64 x (*.f64 (/.f64 x y) (-.f64 1 x)))
(*.f64 x (/.f64 (fma.f64 x (neg.f64 x) x) y))
(/.f64 (*.f64 (-.f64 x (pow.f64 x 2)) x) y)
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(/.f64 (-.f64 x (*.f64 x x)) (/.f64 y x))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) x) (/.f64 x y))
(*.f64 x (*.f64 (/.f64 x y) (-.f64 1 x)))
(*.f64 x (/.f64 (fma.f64 x (neg.f64 x) x) y))
(/.f64 (*.f64 (-.f64 x (pow.f64 x 2)) x) y)
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(/.f64 (-.f64 x (*.f64 x x)) (/.f64 y x))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) x) (/.f64 x y))
(*.f64 x (*.f64 (/.f64 x y) (-.f64 1 x)))
(*.f64 x (/.f64 (fma.f64 x (neg.f64 x) x) y))
(/.f64 (*.f64 (-.f64 x (pow.f64 x 2)) x) y)
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(/.f64 (-.f64 x (*.f64 x x)) (/.f64 y x))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) x) (/.f64 x y))
(*.f64 x (*.f64 (/.f64 x y) (-.f64 1 x)))
(*.f64 x (/.f64 (fma.f64 x (neg.f64 x) x) y))
(/.f64 (*.f64 (-.f64 x (pow.f64 x 2)) x) y)
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(/.f64 (-.f64 x (*.f64 x x)) (/.f64 y x))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) x) (/.f64 x y))
(*.f64 x (*.f64 (/.f64 x y) (-.f64 1 x)))
(*.f64 x (/.f64 (fma.f64 x (neg.f64 x) x) y))
(/.f64 (*.f64 (-.f64 x (pow.f64 x 2)) x) y)
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(/.f64 (-.f64 x (*.f64 x x)) (/.f64 y x))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) x) (/.f64 x y))
(*.f64 x (*.f64 (/.f64 x y) (-.f64 1 x)))
(*.f64 x (/.f64 (fma.f64 x (neg.f64 x) x) y))
(/.f64 (*.f64 (-.f64 x (pow.f64 x 2)) x) y)
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(/.f64 (-.f64 x (*.f64 x x)) (/.f64 y x))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) x) (/.f64 x y))
(*.f64 x (*.f64 (/.f64 x y) (-.f64 1 x)))
(*.f64 x (/.f64 (fma.f64 x (neg.f64 x) x) y))
(/.f64 (*.f64 (-.f64 x (pow.f64 x 2)) x) y)
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(/.f64 (-.f64 x (*.f64 x x)) (/.f64 y x))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) x) (/.f64 x y))
(*.f64 x (*.f64 (/.f64 x y) (-.f64 1 x)))
(*.f64 x (/.f64 (fma.f64 x (neg.f64 x) x) y))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)

eval142.0ms (2.1%)

Compiler

Compiled 6802 to 4024 computations (40.8% saved)

prune97.0ms (1.4%)

Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New4425447
Fresh459
Picked011
Done246
Total44815463
Error
0b
Counts
463 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
✓44.9b
(/.f64 x y)
▶36.6b
(/.f64 (/.f64 x (+.f64 x 1)) (/.f64 y x))
✓53.8b
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
✓53.6b
(*.f64 x (/.f64 x y))
✓8.3b
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
▶26.2b
(/.f64 x (+.f64 x 1))
✓45.2b
(/.f64 (-.f64 x 1) y)
29.5b
(+.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))))
53.0b
1
53.6b
(/.f64 x (/.f64 y x))
▶26.2b
(*.f64 x (/.f64 1 (+.f64 x 1)))
35.5b
x
44.8b
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
▶58.6b
(pow.f64 (/.f64 x (sqrt.f64 y)) 2)
▶36.1b
(+.f64 (/.f64 x y) 1)
Compiler

Compiled 203 to 137 computations (32.5% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 8 computations (33.3% saved)

localize5.0ms (0.1%)

Compiler

Compiled 13 to 6 computations (53.8% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 x 1))
✓0.1b
(*.f64 x (/.f64 1 (+.f64 x 1)))
Compiler

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite78.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
644×pow1_binary64
601×log1p-expm1-u_binary64
601×expm1-log1p-u_binary64
600×add-log-exp_binary64
588×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0614
113114
2172214
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(*.f64 x (/.f64 1 (+.f64 x 1)))
(/.f64 1 (+.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 x 1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (+.f64 x 1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 x) (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (+.f64 x 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x 1)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (pow.f64 (+.f64 x 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 (+.f64 x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) -1) (pow.f64 (sqrt.f64 (+.f64 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 x)))))))

simplify67.0ms (1%)

Algorithm
1×egg-herbie
Rules
515×fma-def_binary64
399×associate-/r*_binary64
388×sub-neg_binary64
261×distribute-rgt-in_binary64
227×distribute-lft-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037318
1109309
2292301
3874296
43447294
Stop Event
1×node limit
Counts
70 → 73
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(*.f64 x (-.f64 1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(+.f64 x (*.f64 (*.f64 x x) (+.f64 -1 x)))
(*.f64 x (fma.f64 x (+.f64 x -1) 1))
(*.f64 x (-.f64 (fma.f64 x x 1) x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (+.f64 x (pow.f64 x 3))))
(-.f64 (-.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)) (*.f64 x x))
(-.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(*.f64 (fma.f64 x x 1) (*.f64 x (-.f64 1 x)))
(*.f64 (-.f64 1 x) (+.f64 x (pow.f64 x 3)))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(-.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 x) -1))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 1 (-.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(-.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 x) -1))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 1 (-.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -1 x (*.f64 x x)))
(+.f64 (*.f64 x x) (-.f64 1 x))
(fma.f64 x (+.f64 x -1) 1)
(-.f64 (fma.f64 x x 1) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (*.f64 x x))))
(-.f64 (+.f64 (*.f64 x x) (-.f64 1 x)) (pow.f64 x 3))
(-.f64 (fma.f64 x (+.f64 x -1) 1) (pow.f64 x 3))
(fma.f64 x (-.f64 x (fma.f64 x x 1)) 1)
(*.f64 (fma.f64 x x 1) (-.f64 1 x))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 1 x) x)))
(-.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 1 x) x)))
(-.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3)))))

localize22.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (+.f64 x 1))
✓0.2b
(/.f64 (/.f64 x (+.f64 x 1)) (/.f64 y x))
Compiler

Compiled 25 to 13 computations (48% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite89.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
540×log-prod_binary64
416×exp-prod_binary64
341×pow-prod-down_binary64
246×pow2_binary64
238×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
118313
2289313
Stop Event
1×node limit
Counts
1 → 66
Calls
Call 1
Inputs
(/.f64 (/.f64 x (+.f64 x 1)) (/.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 x (*.f64 y (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (*.f64 y (+.f64 x 1))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (*.f64 y (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (*.f64 y (+.f64 x 1)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (*.f64 y (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x (*.f64 y (+.f64 x 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x (*.f64 y (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 x (*.f64 y (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x (*.f64 y (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 x (*.f64 y (+.f64 x 1))))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (*.f64 y (+.f64 x 1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (*.f64 y (+.f64 x 1))))) 2) (cbrt.f64 (*.f64 x (/.f64 x (*.f64 y (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 x (*.f64 y (+.f64 x 1))))) (sqrt.f64 (*.f64 x (/.f64 x (*.f64 y (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (*.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) (+.f64 x 1)) (/.f64 1 (neg.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y (+.f64 x 1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (/.f64 1 (+.f64 x 1)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) 1) (/.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 1) (/.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) y) (/.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y x)) (/.f64 (cbrt.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (/.f64 y x)) (/.f64 (sqrt.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) y) (/.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (/.f64 1 (+.f64 x 1)) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) -2) (/.f64 (/.f64 x (+.f64 x 1)) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 x (/.f64 x (*.f64 y (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (/.f64 y x))) (/.f64 (/.f64 1 (+.f64 x 1)) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y x) -1/2) (/.f64 (/.f64 x (+.f64 x 1)) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (+.f64 x 1)) 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (+.f64 x 1)) (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (*.f64 y (+.f64 x 1))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (*.f64 y (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (*.f64 y (+.f64 x 1))) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x (*.f64 y (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 x (*.f64 y (+.f64 x 1)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 x (*.f64 y (+.f64 x 1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (*.f64 y (+.f64 x 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 x (*.f64 y (+.f64 x 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y x) (/.f64 (+.f64 x 1) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 y x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 x 1) (/.f64 y x)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 y x) (/.f64 (+.f64 x 1) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x))) 2)) (cbrt.f64 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 x (+.f64 x 1)) (neg.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (*.f64 y (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 x (*.f64 y (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x (*.f64 y (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 x (*.f64 y (+.f64 x 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 x (*.f64 y (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 x (*.f64 y (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 x (*.f64 y (+.f64 x 1)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 x (*.f64 y (+.f64 x 1)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 (/.f64 y x) x)) (log1p.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x)) 1) 1))))))

simplify89.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
436×sub-neg_binary64
296×div-sub_binary64
273×times-frac_binary64
268×distribute-rgt-neg-in_binary64
263×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038370
1101366
2237342
3727329
43734321
57021321
Stop Event
1×node limit
Counts
90 → 83
Calls
Call 1
Inputs
(/.f64 (pow.f64 x 2) y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 2) y))))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
Outputs
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (*.f64 x x) y) (/.f64 (pow.f64 x 3) y))
(-.f64 (*.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 3) y))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(*.f64 (*.f64 x (/.f64 x y)) (-.f64 1 x))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y)) (/.f64 (pow.f64 x 4) y))
(+.f64 (/.f64 (*.f64 x x) y) (-.f64 (/.f64 (pow.f64 x 4) y) (/.f64 (pow.f64 x 3) y)))
(+.f64 (*.f64 (/.f64 x y) x) (-.f64 (/.f64 (pow.f64 x 4) y) (/.f64 (pow.f64 x 3) y)))
(fma.f64 x (/.f64 x y) (*.f64 (/.f64 (pow.f64 x 3) y) (+.f64 -1 x)))
(*.f64 (/.f64 x y) (-.f64 x (-.f64 (*.f64 x x) (pow.f64 x 3))))
(*.f64 (/.f64 x y) (+.f64 (pow.f64 x 3) (-.f64 x (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 2) y))))
(+.f64 (/.f64 (pow.f64 x 4) y) (fma.f64 -1 (/.f64 (pow.f64 x 3) y) (fma.f64 -1 (/.f64 (pow.f64 x 5) y) (/.f64 (*.f64 x x) y))))
(+.f64 (/.f64 (pow.f64 x 4) y) (-.f64 (-.f64 (/.f64 (*.f64 x x) y) (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 3) y)))
(+.f64 (*.f64 (/.f64 x y) x) (-.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (/.f64 (pow.f64 x 3) y) (/.f64 (pow.f64 x 5) y))))
(fma.f64 x (/.f64 x y) (-.f64 (*.f64 (/.f64 (pow.f64 x 3) y) (+.f64 -1 x)) (/.f64 (pow.f64 x 5) y)))
(-.f64 (*.f64 (/.f64 x y) (-.f64 x (-.f64 (*.f64 x x) (pow.f64 x 3)))) (/.f64 (pow.f64 x 5) y))
(-.f64 (*.f64 (/.f64 x y) (+.f64 (pow.f64 x 3) (-.f64 x (*.f64 x x)))) (/.f64 (pow.f64 x 5) y))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 x y) (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 (-.f64 (/.f64 x y) (/.f64 1 y)) (/.f64 1 (*.f64 x y)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 -1 y)) (/.f64 1 (*.f64 x y)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 -1 y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 y)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 (*.f64 x x) y)))))
(+.f64 (/.f64 x y) (-.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 (*.f64 x x) y)))))
(+.f64 (/.f64 x y) (+.f64 (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 -1 (*.f64 x (*.f64 x y)))) (/.f64 -1 y)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 -1 y) (/.f64 (/.f64 -1 (*.f64 x x)) y))))
(+.f64 (-.f64 (/.f64 x y) (/.f64 1 y)) (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 1 (*.f64 x y))))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 x y) (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 (-.f64 (/.f64 x y) (/.f64 1 y)) (/.f64 1 (*.f64 x y)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 -1 y)) (/.f64 1 (*.f64 x y)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 -1 y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 y)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 (*.f64 x x) y)))))
(+.f64 (/.f64 x y) (-.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 (*.f64 x x) y)))))
(+.f64 (/.f64 x y) (+.f64 (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 -1 (*.f64 x (*.f64 x y)))) (/.f64 -1 y)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 -1 y) (/.f64 (/.f64 -1 (*.f64 x x)) y))))
(+.f64 (-.f64 (/.f64 x y) (/.f64 1 y)) (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 1 (*.f64 x y))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 x (sqrt.f64 y))
✓0.1b
(pow.f64 (/.f64 x (sqrt.f64 y)) 2)
Compiler

Compiled 17 to 7 computations (58.8% saved)

series17.0ms (0.3%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
(pow.f64 (/.f64 x (sqrt.f64 y)) 2)
2.0ms
y
@0
(pow.f64 (/.f64 x (sqrt.f64 y)) 2)
2.0ms
x
@0
(pow.f64 (/.f64 x (sqrt.f64 y)) 2)
2.0ms
y
@inf
(pow.f64 (/.f64 x (sqrt.f64 y)) 2)
1.0ms
x
@-inf
(pow.f64 (/.f64 x (sqrt.f64 y)) 2)

rewrite89.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
669×pow1_binary64
622×add-log-exp_binary64
622×log1p-expm1-u_binary64
622×expm1-log1p-u_binary64
606×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0715
114813
2174713
Stop Event
1×node limit
Counts
2 → 68
Calls
Call 1
Inputs
(pow.f64 (/.f64 x (sqrt.f64 y)) 2)
(/.f64 x (sqrt.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 x x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (pow.f64 y -1/2) (/.f64 x (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 x x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 (pow.f64 y -1/2) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 (pow.f64 y -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x x) y)) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x x) y)) (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))) (/.f64 x (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) (cbrt.f64 (/.f64 (*.f64 x x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y))) (*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y))) (/.f64 x (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (/.f64 x (sqrt.f64 y)))) (sqrt.f64 (/.f64 x (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (sqrt.f64 y)) x) (pow.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (cbrt.f64 (/.f64 (*.f64 x x) y))) (cbrt.f64 (/.f64 x (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 (/.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (/.f64 x (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x (sqrt.f64 y)) x) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (neg.f64 x)) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 x x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 x x) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (sqrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))) (cbrt.f64 (/.f64 (*.f64 x x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x x) y)) (cbrt.f64 (/.f64 x (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 (/.f64 x (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4))) (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 x (cbrt.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 y)) (cbrt.f64 (/.f64 x (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 y 1/4)) (/.f64 x (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 y 1/4)) (/.f64 (cbrt.f64 x) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x x) y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 x x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (sqrt.f64 y))))))))

simplify141.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
759×sqr-pow_binary64
459×*-commutative_binary64
434×unswap-sqr_binary64
423×associate-*r/_binary64
392×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010192
117192
224192
345192
4102192
5320192
61269192
73666192
84468192
94653192
104869192
115217192
125645192
136124192
146775192
157462192
Stop Event
1×node limit
Counts
92 → 72
Calls
Call 1
Inputs
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
Outputs
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 x (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 x (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 x (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 x (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 x (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 x (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 x (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 x (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 x (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 x (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 x (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 x (sqrt.f64 (/.f64 1 y)))

eval152.0ms (2.2%)

Compiler

Compiled 3965 to 2294 computations (42.1% saved)

prune102.0ms (1.5%)

Pruning

16 alts after pruning (6 fresh and 10 done)

PrunedKeptTotal
New3302332
Fresh145
Picked011
Done099
Total33116347
Error
0b
Counts
347 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
53.0b
1
53.6b
(/.f64 x (/.f64 y x))
✓44.9b
(/.f64 x y)
✓36.6b
(/.f64 (/.f64 x (+.f64 x 1)) (/.f64 y x))
✓53.8b
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
✓53.6b
(*.f64 x (/.f64 x y))
✓8.3b
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
✓26.2b
(/.f64 x (+.f64 x 1))
✓45.2b
(/.f64 (-.f64 x 1) y)
29.5b
(+.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))))
✓26.2b
(*.f64 x (/.f64 1 (+.f64 x 1)))
56.9b
(-.f64 (+.f64 1 (/.f64 (*.f64 x x) y)) 1)
35.5b
x
44.8b
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
✓58.6b
(pow.f64 (/.f64 x (sqrt.f64 y)) 2)
✓36.1b
(+.f64 (/.f64 x y) 1)
Compiler

Compiled 137 to 92 computations (32.8% saved)

regimes126.0ms (1.8%)

Counts
31 → 1
Calls
Call 1
Inputs
1
1
x
1
x
(/.f64 x y)
(/.f64 x (/.f64 y x))
(+.f64 (/.f64 x y) 1)
(*.f64 x (/.f64 x y))
(/.f64 (-.f64 x 1) y)
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 (-.f64 x 1) y) 1)
(*.f64 x (/.f64 1 (+.f64 x 1)))
(-.f64 (+.f64 1 (/.f64 (*.f64 x x) y)) 1)
(/.f64 (/.f64 x (+.f64 x 1)) (/.f64 y x))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(*.f64 x (/.f64 x (*.f64 y (+.f64 1 x))))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x 1))
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
(/.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 1 (/.f64 x y))))
(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))))
(+.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
(pow.f64 (/.f64 x (sqrt.f64 y)) 2)
(/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 2) x) (+.f64 x 1))
(pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))) 2)
Outputs
(/.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 1 (/.f64 x y))))
Calls

4 calls:

29.0ms
y
29.0ms
x
26.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
26.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
0.1b1(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
Compiler

Compiled 271 to 144 computations (46.9% saved)

regimes240.0ms (3.5%)

Counts
22 → 3
Calls
Call 1
Inputs
1
1
x
1
x
(/.f64 x y)
(/.f64 x (/.f64 y x))
(+.f64 (/.f64 x y) 1)
(*.f64 x (/.f64 x y))
(/.f64 (-.f64 x 1) y)
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 (-.f64 x 1) y) 1)
(*.f64 x (/.f64 1 (+.f64 x 1)))
(-.f64 (+.f64 1 (/.f64 (*.f64 x x) y)) 1)
(/.f64 (/.f64 x (+.f64 x 1)) (/.f64 y x))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(*.f64 x (/.f64 x (*.f64 y (+.f64 1 x))))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x 1))
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
Outputs
(+.f64 (/.f64 x y) 1)
(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x 1))
(+.f64 (/.f64 (-.f64 x 1) y) 1)
Calls

4 calls:

60.0ms
x
60.0ms
y
56.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
54.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
Results
ErrorSegmentsBranch
0.0b3x
7.3b3y
0.1b3(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
0.1b3(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
Compiler

Compiled 168 to 88 computations (47.6% saved)

bsearch39.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
1899488754707.8545
14618304225003.553
19.0ms
-1.2283855825910368e+101
-1.1601588500803838e+95
Compiler

Compiled 40 to 28 computations (30% saved)

regimes87.0ms (1.3%)

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

2 calls:

53.0ms
y
29.0ms
x
Results
ErrorSegmentsBranch
9.1b3x
14.8b5y
Compiler

Compiled 109 to 56 computations (48.6% saved)

bsearch41.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
199.03103017631403
1414111027687.4714
21.0ms
-80069002.81634252
-414.35499942650017
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes76.0ms (1.1%)

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

2 calls:

54.0ms
y
19.0ms
x
Results
ErrorSegmentsBranch
9.3b3x
18.4b8y
Compiler

Compiled 41 to 21 computations (48.8% saved)

bsearch40.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
199.03103017631403
1414111027687.4714
20.0ms
-80069002.81634252
-414.35499942650017
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes84.0ms (1.2%)

Counts
10 → 3
Calls
Call 1
Inputs
1
1
x
1
x
(/.f64 x y)
(/.f64 x (/.f64 y x))
(+.f64 (/.f64 x y) 1)
(*.f64 x (/.f64 x y))
(/.f64 (-.f64 x 1) y)
Outputs
(+.f64 (/.f64 x y) 1)
x
(+.f64 (/.f64 x y) 1)
Calls

2 calls:

64.0ms
y
18.0ms
x
Results
ErrorSegmentsBranch
9.9b3x
23.0b11y
Compiler

Compiled 36 to 18 computations (50% saved)

bsearch40.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
2.0419886010838414e-15
3.971431807471928e-12
20.0ms
-414.35499942650017
-3.5962993026145635e-9
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes65.0ms (0.9%)

Counts
7 → 5
Calls
Call 1
Inputs
1
1
x
1
x
(/.f64 x y)
(/.f64 x (/.f64 y x))
Outputs
(/.f64 x y)
x
(/.f64 x y)
1
(/.f64 x y)
Calls

2 calls:

40.0ms
y
23.0ms
x
Results
ErrorSegmentsBranch
17.9b5x
27.2b8y
Compiler

Compiled 21 to 12 computations (42.9% saved)

bsearch117.0ms (1.7%)

Algorithm
4×binary-search
Steps
TimeLeftRight
58.0ms
4.5741968917723446e+136
8.945785423930536e+138
20.0ms
9.631444681442554e+79
1.8383867610759193e+83
20.0ms
199.03103017631403
1414111027687.4714
19.0ms
-414.35499942650017
-3.5962993026145635e-9
Compiler

Compiled 88 to 69 computations (21.6% saved)

regimes26.0ms (0.4%)

Counts
5 → 3
Calls
Call 1
Inputs
1
1
x
1
x
Outputs
1
x
1
Calls

2 calls:

13.0ms
x
12.0ms
y
Results
ErrorSegmentsBranch
27.0b3x
33.9b3y
Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch38.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
0.5680570380839297
11.61921136218582
19.0ms
-2.707388424470535e-23
-7.721897130150641e-26
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

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

2 calls:

3.0ms
y
3.0ms
x
Results
ErrorSegmentsBranch
53.0b1x
53.0b1y
Compiler

Compiled 10 to 8 computations (20% saved)

simplify11.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
5×+-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053217
162217
263217
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 1 (/.f64 x y))))
(if (<=.f64 x -10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104) (+.f64 (/.f64 x y) 1) (if (<=.f64 x 1945076484820843/1024) (/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x 1)) (+.f64 (/.f64 (-.f64 x 1) y) 1)))
(if (<=.f64 x -5373339820617547/67108864) (+.f64 (/.f64 (-.f64 x 1) y) 1) (if (<=.f64 x 7002781822946983/35184372088832) (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 (-.f64 x 1) y) 1)))
(if (<=.f64 x -5373339820617547/67108864) (+.f64 (/.f64 x y) 1) (if (<=.f64 x 7002781822946983/35184372088832) (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1)))
(if (<=.f64 x -1822352559586219/4398046511104) (+.f64 (/.f64 x y) 1) (if (<=.f64 x 1294264037911567/633825300114114700748351602688) x (+.f64 (/.f64 x y) 1)))
(if (<=.f64 x -1822352559586219/4398046511104) (/.f64 x y) (if (<=.f64 x 7002781822946983/35184372088832) x (if (<=.f64 x 96314446814425539538586196051800175259910695408081145090313395270279024626106368) (/.f64 x y) (if (<=.f64 x 8599999999999999621381468616913765327373000037921620753001212501544004974680781487272620078087109923892755301429888098385164994430860525568) 1 (/.f64 x y)))))
(if (<=.f64 x -71974729785405/2658455991569831745807614120560689152) 1 (if (<=.f64 x 5116602930079947/9007199254740992) x 1))
1
Outputs
(/.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 1 (/.f64 x y))))
(if (<=.f64 x -10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104) (+.f64 (/.f64 x y) 1) (if (<=.f64 x 1945076484820843/1024) (/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x 1)) (+.f64 (/.f64 (-.f64 x 1) y) 1)))
(if (<=.f64 x -10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104) (+.f64 1 (/.f64 x y)) (if (<=.f64 x 1945076484820843/1024) (/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1)) (+.f64 1 (/.f64 (+.f64 x -1) y))))
(if (<=.f64 x -5373339820617547/67108864) (+.f64 (/.f64 (-.f64 x 1) y) 1) (if (<=.f64 x 7002781822946983/35184372088832) (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 (-.f64 x 1) y) 1)))
(if (<=.f64 x -5373339820617547/67108864) (+.f64 1 (/.f64 (+.f64 x -1) y)) (if (<=.f64 x 7002781822946983/35184372088832) (/.f64 x (+.f64 x 1)) (+.f64 1 (/.f64 (+.f64 x -1) y))))
(if (<=.f64 x -5373339820617547/67108864) (+.f64 (/.f64 x y) 1) (if (<=.f64 x 7002781822946983/35184372088832) (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1)))
(if (<=.f64 x -5373339820617547/67108864) (+.f64 1 (/.f64 x y)) (if (<=.f64 x 7002781822946983/35184372088832) (/.f64 x (+.f64 x 1)) (+.f64 1 (/.f64 x y))))
(if (<=.f64 x -1822352559586219/4398046511104) (+.f64 (/.f64 x y) 1) (if (<=.f64 x 1294264037911567/633825300114114700748351602688) x (+.f64 (/.f64 x y) 1)))
(if (<=.f64 x -1822352559586219/4398046511104) (+.f64 1 (/.f64 x y)) (if (<=.f64 x 1294264037911567/633825300114114700748351602688) x (+.f64 1 (/.f64 x y))))
(if (<=.f64 x -1822352559586219/4398046511104) (/.f64 x y) (if (<=.f64 x 7002781822946983/35184372088832) x (if (<=.f64 x 96314446814425539538586196051800175259910695408081145090313395270279024626106368) (/.f64 x y) (if (<=.f64 x 8599999999999999621381468616913765327373000037921620753001212501544004974680781487272620078087109923892755301429888098385164994430860525568) 1 (/.f64 x y)))))
(if (<=.f64 x -71974729785405/2658455991569831745807614120560689152) 1 (if (<=.f64 x 5116602930079947/9007199254740992) x 1))
1
Compiler

Compiled 168 to 112 computations (33.3% saved)

soundness305.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
971×fma-def_binary64
682×distribute-rgt-in_binary64
629×distribute-lft-in_binary64
559×associate-/l*_binary64
519×associate-/l/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0916
12214
23614
38114
414314
528514
674214
7108914
8162014
9185014
10228014
11294414
12327314
13381214
14771714
Stop Event
1×node limit
Compiler

Compiled 54 to 35 computations (35.2% saved)

end78.0ms (1.1%)

Compiler

Compiled 154 to 94 computations (39% saved)

Profiling

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