Details

Time bar (total: 7.5s)

analyze161.0ms (2.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
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)

sample1.2s (15.7%)

Results
1.1s8256×body256valid
78.0ms630×body256infinite
Bogosity

preprocess185.0ms (2.5%)

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)

simplify118.0ms (1.6%)

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
6.3b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶6.3b
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
▶6.3b
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
Compiler

Compiled 25 to 16 computations (36% saved)

localize21.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x (+.f64 (/.f64 x y) 1))
✓5.9b
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
Compiler

Compiled 34 to 17 computations (50% saved)

series13.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

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

rewrite112.0ms (1.5%)

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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(/.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)))))

simplify97.0ms (1.3%)

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)))

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 x (/.f64 x y) x)
✓5.9b
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
Compiler

Compiled 27 to 10 computations (63% saved)

series8.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite114.0ms (1.5%)

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))))))

simplify103.0ms (1.4%)

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)))

eval114.0ms (1.5%)

Compiler

Compiled 4627 to 2166 computations (53.2% saved)

prune66.0ms (0.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New26212274
Fresh000
Picked101
Done101
Total26412276
Error
0b
Counts
276 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
35.7b
x
▶6.3b
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
7.5b
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x)) -2) -1) (pow.f64 (/.f64 (+.f64 x 1) (cbrt.f64 (fma.f64 x (/.f64 x y) x))) -1))
▶0.1b
(*.f64 (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1))
8.3b
(/.f64 (*.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))) (+.f64 x 1))
▶28.6b
(+.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))))
44.4b
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
▶45.8b
(/.f64 x y)
0.1b
(*.f64 (/.f64 x 1) (/.f64 (+.f64 (/.f64 x y) 1) (+.f64 x 1)))
41.9b
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
▶37.7b
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
27.4b
(/.f64 x (+.f64 x 1))
Compiler

Compiled 315 to 202 computations (35.9% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 32 to 17 computations (46.9% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite85.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
778×prod-diff_binary64
554×log-prod_binary64
308×fma-def_binary64
276×pow2_binary64
233×log-div_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0923
120923
2325721
Stop Event
1×node limit
Counts
2 → 140
Calls
Call 1
Inputs
(*.f64 (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1))
(/.f64 x (+.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)))))) (#(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 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) 1) (/.f64 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)))) 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(sqrt.f64 x) (cbrt.f64 (+.f64 x 1))) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x (+.f64 x 1)))) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x (+.f64 x 1)))) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x y))) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) x) (/.f64 1 (+.f64 x 1)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) (/.f64 1 y) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (sqrt.f64 (/.f64 x (+.f64 x 1)))) (sqrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (/.f64 x (+.f64 x 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 1 (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.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))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.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))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1))))) (#(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 pow.f64 (/.f64 (+.f64 x 1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x 1) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (fma.f64 -1 x -1)))))) (#(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 log.f64 (+.f64 1 (expm1.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 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 exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1))))))

simplify71.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
628×unsub-neg_binary64
500×+-commutative_binary64
392×associate--r+_binary64
381×associate-*l*_binary64
332×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
067637
1194633
2572555
32438517
47440517
Stop Event
1×node limit
Counts
176 → 176
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 -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
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) 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 x (*.f64 (+.f64 (/.f64 1 y) -1) (fma.f64 x (neg.f64 x) x))))
(+.f64 x (*.f64 x (*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x (-.f64 1 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 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 (/.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 (/.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 (+.f64 1 (/.f64 -1 y)) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) (/.f64 (+.f64 1 (/.f64 -1 y)) x))
(-.f64 1 (+.f64 (-.f64 (/.f64 1 y) (/.f64 x 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 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 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 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))) (/.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 (+.f64 1 (/.f64 -1 y)) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) (/.f64 (+.f64 1 (/.f64 -1 y)) x))
(-.f64 1 (+.f64 (-.f64 (/.f64 1 y) (/.f64 x 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 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 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 x (/.f64 (+.f64 y (*.f64 x y)) x))
(*.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 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.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 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.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 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.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 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.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 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.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 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.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 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.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 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.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 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
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 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)))
(fma.f64 (*.f64 x x) (+.f64 x -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))
(*.f64 (fma.f64 x x 1) (*.f64 x (-.f64 1 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 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.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)))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))) (/.f64 (/.f64 -1 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 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.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)))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))) (/.f64 (/.f64 -1 x) x)))

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)

series3.0ms (0%)

Counts
1 → 9
Calls

6 calls:

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

rewrite80.0ms (1.1%)

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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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)))))))

simplify34.0ms (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))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x (/.f64 x y))
✓5.9b
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
Compiler

Compiled 34 to 11 computations (67.6% saved)

series9.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite74.0ms (1%)

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
0921
120521
2306921
Stop Event
1×node limit
Counts
2 → 75
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
(*.f64 x (/.f64 x y))
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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x)) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x)) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 3) (pow.f64 (+.f64 x 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (/.f64 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 (log.f64 (cbrt.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)))) 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 +.f64 0 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x x)) -1)))) (#(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 (pow.f64 (exp.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6)) 1/3))))))

simplify69.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
629×associate--l+_binary64
575×associate-+l-_binary64
407×+-commutative_binary64
381×unsub-neg_binary64
330×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
057663
1156663
2444607
31896571
46690567
Stop Event
1×node limit
Counts
123 → 99
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)
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 (*.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 (+.f64 (/.f64 1 y) -1) (*.f64 x x) (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 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(-.f64 1 (-.f64 (/.f64 1 y) (/.f64 x 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 x) (/.f64 1 y)))))
(+.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 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 (*.f64 x x)))) (-.f64 1 (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 -1 x) (/.f64 1 y))) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 (+.f64 (/.f64 x y) (/.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 (/.f64 x y) (/.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 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 1 (-.f64 (/.f64 1 y) (/.f64 x y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x)))) (/.f64 1 y))
(+.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 x) (/.f64 1 y)))))
(+.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 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 (*.f64 x x)))) (-.f64 1 (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 -1 x) (/.f64 1 y))) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 (+.f64 (/.f64 x y) (/.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 (/.f64 x y) (/.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 (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 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 x (/.f64 y x))
(*.f64 (/.f64 x y) 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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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))

localize21.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))
✓5.6b
(*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1)))
Compiler

Compiled 57 to 37 computations (35.1% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite81.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
584×log-prod_binary64
402×fma-def_binary64
377×prod-diff_binary64
309×pow2_binary64
216×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01132
124232
2341330
Stop Event
1×node limit
Counts
2 → 125
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1)))
(*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))
Outputs
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-1) (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (/.f64 -1 y) x) 1 (*.f64 (fma.f64 -1 (/.f64 -1 y) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (/.f64 -1 y) -1)) 2) (cbrt.f64 (fma.f64 -1 (/.f64 -1 y) -1)) (fma.f64 x (/.f64 -1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 -1 y) x)) 2) (cbrt.f64 (fma.f64 x (/.f64 -1 y) x)) (fma.f64 -1 (/.f64 -1 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1 (/.f64 -1 y) -1)) (sqrt.f64 (fma.f64 -1 (/.f64 -1 y) -1)) (fma.f64 x (/.f64 -1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (/.f64 -1 y) x)) (sqrt.f64 (fma.f64 x (/.f64 -1 y) x)) (fma.f64 -1 (/.f64 -1 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 -1 y) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1) (*.f64 (+.f64 x -1) (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 y))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 y))) (sqrt.f64 x)) (fma.f64 -1 (/.f64 -1 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 (/.f64 -1 y)))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 (/.f64 -1 y)))) (fma.f64 -1 (/.f64 -1 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (+.f64 1 (/.f64 -1 y)))) (sqrt.f64 (+.f64 1 (/.f64 -1 y))) (fma.f64 -1 (/.f64 -1 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 -1 (/.f64 -1 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 1 (/.f64 -1 y)) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 -1 (/.f64 -1 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 y))) 2)) (cbrt.f64 (+.f64 1 (/.f64 -1 y))) (fma.f64 -1 (/.f64 -1 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 y))) 2)) (cbrt.f64 (+.f64 1 (/.f64 -1 y))) (fma.f64 x (/.f64 -1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 1 (/.f64 -1 y)))) (sqrt.f64 (+.f64 1 (/.f64 -1 y))) (fma.f64 x (/.f64 -1 y) x))))))

simplify80.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
397×distribute-rgt-out--_binary64
360×distribute-rgt-out_binary64
318×associate-/l*_binary64
267×fma-def_binary64
257×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027896
175860
2200672
3695629
43000627
57840627
Stop Event
1×node limit
Counts
173 → 147
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(*.f64 (-.f64 x 1) (pow.f64 x 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(*.f64 (-.f64 x 1) (pow.f64 x 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(*.f64 -1 (-.f64 1 (/.f64 1 y)))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
Outputs
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2)))
(*.f64 (neg.f64 (-.f64 1 (/.f64 1 y))) (*.f64 x x))
(*.f64 (+.f64 1 (/.f64 -1 y)) (neg.f64 (*.f64 x x)))
(*.f64 x (*.f64 x (+.f64 -1 (/.f64 1 y))))
(*.f64 x (+.f64 (neg.f64 x) (/.f64 x y)))
(*.f64 x (-.f64 (/.f64 x y) x))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)))
(*.f64 (+.f64 x (/.f64 (neg.f64 x) y)) (-.f64 (*.f64 x x) x))
(*.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)))
(*.f64 x (*.f64 (+.f64 -1 x) (-.f64 x (/.f64 x y))))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)))
(*.f64 (+.f64 x (/.f64 (neg.f64 x) y)) (-.f64 (*.f64 x x) x))
(*.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)))
(*.f64 x (*.f64 (+.f64 -1 x) (-.f64 x (/.f64 x y))))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)))
(*.f64 (+.f64 x (/.f64 (neg.f64 x) y)) (-.f64 (*.f64 x x) x))
(*.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)))
(*.f64 x (*.f64 (+.f64 -1 x) (-.f64 x (/.f64 x y))))
(*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3))
(*.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3))
(-.f64 (pow.f64 x 3) (/.f64 (pow.f64 x 3) y))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)))
(*.f64 (+.f64 x (/.f64 (neg.f64 x) y)) (-.f64 (*.f64 x x) x))
(*.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)))
(*.f64 x (*.f64 (+.f64 -1 x) (-.f64 x (/.f64 x y))))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)))
(*.f64 (+.f64 x (/.f64 (neg.f64 x) y)) (-.f64 (*.f64 x x) x))
(*.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)))
(*.f64 x (*.f64 (+.f64 -1 x) (-.f64 x (/.f64 x y))))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)))
(*.f64 (+.f64 x (/.f64 (neg.f64 x) y)) (-.f64 (*.f64 x x) x))
(*.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)))
(*.f64 x (*.f64 (+.f64 -1 x) (-.f64 x (/.f64 x y))))
(*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3))
(*.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3))
(-.f64 (pow.f64 x 3) (/.f64 (pow.f64 x 3) y))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)))
(*.f64 (+.f64 x (/.f64 (neg.f64 x) y)) (-.f64 (*.f64 x x) x))
(*.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)))
(*.f64 x (*.f64 (+.f64 -1 x) (-.f64 x (/.f64 x y))))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)))
(*.f64 (+.f64 x (/.f64 (neg.f64 x) y)) (-.f64 (*.f64 x x) x))
(*.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)))
(*.f64 x (*.f64 (+.f64 -1 x) (-.f64 x (/.f64 x y))))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)))
(*.f64 (+.f64 x (/.f64 (neg.f64 x) y)) (-.f64 (*.f64 x x) x))
(*.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)))
(*.f64 x (*.f64 (+.f64 -1 x) (-.f64 x (/.f64 x y))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y))
(neg.f64 (/.f64 (+.f64 x -1) (/.f64 y (*.f64 x x))))
(neg.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 -1 x)) y))
(*.f64 (/.f64 (fma.f64 -1 x 1) y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (-.f64 1 x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)))
(*.f64 (+.f64 x (/.f64 (neg.f64 x) y)) (-.f64 (*.f64 x x) x))
(*.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)))
(*.f64 x (*.f64 (+.f64 -1 x) (-.f64 x (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)))
(*.f64 (+.f64 x (/.f64 (neg.f64 x) y)) (-.f64 (*.f64 x x) x))
(*.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)))
(*.f64 x (*.f64 (+.f64 -1 x) (-.f64 x (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)))
(*.f64 (+.f64 x (/.f64 (neg.f64 x) y)) (-.f64 (*.f64 x x) x))
(*.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)))
(*.f64 x (*.f64 (+.f64 -1 x) (-.f64 x (/.f64 x y))))
(*.f64 (-.f64 x 1) (pow.f64 x 2))
(*.f64 (*.f64 x x) (+.f64 x -1))
(*.f64 (*.f64 x x) (+.f64 -1 x))
(-.f64 (pow.f64 x 3) (*.f64 x x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)))
(*.f64 (+.f64 x (/.f64 (neg.f64 x) y)) (-.f64 (*.f64 x x) x))
(*.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)))
(*.f64 x (*.f64 (+.f64 -1 x) (-.f64 x (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)))
(*.f64 (+.f64 x (/.f64 (neg.f64 x) y)) (-.f64 (*.f64 x x) x))
(*.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)))
(*.f64 x (*.f64 (+.f64 -1 x) (-.f64 x (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)))
(*.f64 (+.f64 x (/.f64 (neg.f64 x) y)) (-.f64 (*.f64 x x) x))
(*.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)))
(*.f64 x (*.f64 (+.f64 -1 x) (-.f64 x (/.f64 x y))))
(*.f64 (-.f64 x 1) (pow.f64 x 2))
(*.f64 (*.f64 x x) (+.f64 x -1))
(*.f64 (*.f64 x x) (+.f64 -1 x))
(-.f64 (pow.f64 x 3) (*.f64 x x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)))
(*.f64 (+.f64 x (/.f64 (neg.f64 x) y)) (-.f64 (*.f64 x x) x))
(*.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)))
(*.f64 x (*.f64 (+.f64 -1 x) (-.f64 x (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)))
(*.f64 (+.f64 x (/.f64 (neg.f64 x) y)) (-.f64 (*.f64 x x) x))
(*.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)))
(*.f64 x (*.f64 (+.f64 -1 x) (-.f64 x (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)))
(*.f64 (+.f64 x (/.f64 (neg.f64 x) y)) (-.f64 (*.f64 x x) x))
(*.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)))
(*.f64 x (*.f64 (+.f64 -1 x) (-.f64 x (/.f64 x y))))
(*.f64 -1 (/.f64 (-.f64 x 1) y))
(neg.f64 (/.f64 (+.f64 x -1) y))
(/.f64 (neg.f64 (+.f64 -1 x)) y)
(/.f64 (fma.f64 -1 x 1) y)
(/.f64 (-.f64 1 x) y)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 (+.f64 -1 x) (/.f64 (-.f64 1 x) y))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 (+.f64 -1 x) (/.f64 (-.f64 1 x) y))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 (+.f64 -1 x) (/.f64 (-.f64 1 x) y))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(-.f64 x 1)
(+.f64 x -1)
(+.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 (+.f64 -1 x) (/.f64 (-.f64 1 x) y))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 (+.f64 -1 x) (/.f64 (-.f64 1 x) y))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 (+.f64 -1 x) (/.f64 (-.f64 1 x) y))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(-.f64 x 1)
(+.f64 x -1)
(+.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 (+.f64 -1 x) (/.f64 (-.f64 1 x) y))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 (+.f64 -1 x) (/.f64 (-.f64 1 x) y))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 (+.f64 -1 x) (/.f64 (-.f64 1 x) y))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(*.f64 -1 (-.f64 1 (/.f64 1 y)))
(neg.f64 (-.f64 1 (/.f64 1 y)))
(neg.f64 (+.f64 1 (/.f64 -1 y)))
(+.f64 -1 (/.f64 1 y))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 (+.f64 -1 x) (/.f64 (-.f64 1 x) y))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 (+.f64 -1 x) (/.f64 (-.f64 1 x) y))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 (+.f64 -1 x) (/.f64 (-.f64 1 x) y))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 (+.f64 1 (/.f64 -1 y)) x)
(+.f64 x (/.f64 (neg.f64 x) y))
(-.f64 x (/.f64 x y))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 (+.f64 -1 x) (/.f64 (-.f64 1 x) y))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 (+.f64 -1 x) (/.f64 (-.f64 1 x) y))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 (+.f64 -1 x) (/.f64 (-.f64 1 x) y))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 (+.f64 1 (/.f64 -1 y)) x)
(+.f64 x (/.f64 (neg.f64 x) y))
(-.f64 x (/.f64 x y))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 (+.f64 -1 x) (/.f64 (-.f64 1 x) y))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 (+.f64 -1 x) (/.f64 (-.f64 1 x) y))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 (+.f64 -1 x) (/.f64 (-.f64 1 x) y))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))

eval194.0ms (2.6%)

Compiler

Compiled 10537 to 6372 computations (39.5% saved)

prune90.0ms (1.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New5739582
Fresh527
Picked101
Done314
Total58212594
Error
0b
Counts
594 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
26.4b
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
53.7b
1
✓45.8b
(/.f64 x y)
▶37.7b
(+.f64 (/.f64 (-.f64 x 1) y) 1)
46.2b
(/.f64 (-.f64 x 1) y)
35.7b
x
▶41.9b
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
0.1b
(/.f64 x (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y))))
▶6.4b
(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x 1))
▶27.4b
(/.f64 x (+.f64 x 1))
▶0.1b
(*.f64 (/.f64 x 1) (/.f64 (+.f64 (/.f64 x y) 1) (+.f64 x 1)))
14.0b
(/.f64 (+.f64 (/.f64 (*.f64 x x) y) x) (+.f64 x 1))
Compiler

Compiled 209 to 140 computations (33% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 41 to 23 computations (43.9% saved)

series5.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite75.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
560×log-prod_binary64
362×prod-diff_binary64
277×pow2_binary64
264×log-div_binary64
261×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01029
123629
2323027
Stop Event
1×node limit
Counts
2 → 96
Calls
Call 1
Inputs
(*.f64 (/.f64 x 1) (/.f64 (+.f64 (/.f64 x y) 1) (+.f64 x 1)))
(/.f64 (+.f64 (/.f64 x y) 1) (+.f64 x 1))
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 x (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 1 x) (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 x y)) (*.f64 (/.f64 1 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 x y)) (*.f64 (+.f64 x 1) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1)) (/.f64 1 x))))) (#(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 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))) 2) (/.f64 1 (cbrt.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))) (pow.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 (/.f64 x y))) (*.f64 (/.f64 1 x) (fma.f64 x -1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 -1 (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x (/.f64 x y) x)) (fma.f64 x -1 -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (neg.f64 (/.f64 x y))) 1) (*.f64 (fma.f64 x -1 -1) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (+.f64 1 (/.f64 x y))) (fma.f64 x -1 -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 -1 (neg.f64 (/.f64 x y)))) (fma.f64 x -1 -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (/.f64 x y)))) (*.f64 -1 (fma.f64 x -1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (neg.f64 (/.f64 x y))) x) (fma.f64 x -1 -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (neg.f64 (/.f64 x y))) x) (*.f64 (fma.f64 x -1 -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (/.f64 x y)) (neg.f64 x)) (*.f64 (+.f64 x 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (neg.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 (fma.f64 x -1 -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1)) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1)) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y))) (/.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1)) 3) (pow.f64 x 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 +.f64 0 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 (/.f64 x y))) (/.f64 1 (fma.f64 x -1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (+.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) 1) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) (/.f64 (+.f64 1 (/.f64 x y)) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) -1/2) (/.f64 (+.f64 1 (/.f64 x y)) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (/.f64 x y)) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 3) (pow.f64 (+.f64 x 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (/.f64 x y)) (fma.f64 x -1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (/.f64 x y)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 x y)) (log1p.f64 x)) 1))))))

simplify65.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
513×sub-neg_binary64
470×associate-*r*_binary64
406×associate-+l+_binary64
313×unsub-neg_binary64
301×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0921006
1264983
2832861
33729819
Stop Event
1×node limit
Counts
144 → 145
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 (*.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)
(*.f64 (fma.f64 x (+.f64 (/.f64 1 y) -1) 1) 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 1 (/.f64 -1 y)) (pow.f64 x 3) (*.f64 (fma.f64 x (+.f64 (/.f64 1 y) -1) 1) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 x (-.f64 (/.f64 x y) 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 1 (/.f64 -1 y)) (pow.f64 x 3) (*.f64 (fma.f64 x (+.f64 (/.f64 1 y) -1) 1) x)))
(+.f64 x (*.f64 x (*.f64 (+.f64 (/.f64 1 y) -1) (+.f64 (*.f64 x (neg.f64 x)) (+.f64 x (pow.f64 x 3))))))
(/.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 x y)) (/.f64 -1 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 (/.f64 x y) (/.f64 1 y))) (/.f64 (+.f64 (/.f64 1 y) -1) x))
(+.f64 1 (+.f64 (/.f64 x y) (-.f64 (/.f64 (+.f64 (/.f64 1 y) -1) x) (/.f64 1 y))))
(+.f64 1 (+.f64 (+.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 (/.f64 x y) (/.f64 1 (*.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 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x)))) (-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x (*.f64 x y)))))))
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 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 x) (/.f64 1 y))))))
(/.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 x y)) (/.f64 -1 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 (/.f64 x y) (/.f64 1 y))) (/.f64 (+.f64 (/.f64 1 y) -1) x))
(+.f64 1 (+.f64 (/.f64 x y) (-.f64 (/.f64 (+.f64 (/.f64 1 y) -1) x) (/.f64 1 y))))
(+.f64 1 (+.f64 (+.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 (/.f64 x y) (/.f64 1 (*.f64 x y))) (neg.f64 (+.f64 (/.f64 1 y) -1)))) (/.f64 1 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 (/.f64 (+.f64 (/.f64 1 y) -1) x) (+.f64 (/.f64 x y) (-.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)))))
(+.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) (*.f64 (+.f64 (/.f64 -1 x) 1) (/.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 (*.f64 x x) (+.f64 x 1)) 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 (*.f64 x x) (+.f64 x 1)) 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 (*.f64 x x) (+.f64 x 1)) 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 (*.f64 x x) (+.f64 x 1)) 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 (*.f64 x x) (+.f64 x 1)) 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 (*.f64 x x) (+.f64 x 1)) 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 (*.f64 x x) (+.f64 x 1)) 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 (*.f64 x x) (+.f64 x 1)) 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 (*.f64 x x) (+.f64 x 1)) 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 (*.f64 x x) (+.f64 x 1)) y))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
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 1 (-.f64 (/.f64 x y) x))
(+.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))
(+.f64 1 (*.f64 (+.f64 (/.f64 1 y) -1) (+.f64 (*.f64 x (neg.f64 x)) x)))
(+.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 (*.f64 x x) (+.f64 1 (/.f64 -1 y)) 1) (*.f64 (+.f64 (/.f64 1 y) -1) (+.f64 (pow.f64 x 3) x)))
(+.f64 1 (*.f64 (+.f64 (/.f64 1 y) -1) (+.f64 (*.f64 x (neg.f64 x)) (+.f64 x (pow.f64 x 3)))))
(/.f64 1 y)
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 y x)))
(+.f64 (/.f64 1 y) (-.f64 (/.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 1 y) (/.f64 (+.f64 (/.f64 1 y) -1) 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 1 y) (-.f64 (+.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 x) (/.f64 1 (*.f64 x (*.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (*.f64 x y)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) (/.f64 (+.f64 1 (/.f64 -1 y)) x)))
(+.f64 (/.f64 1 y) (neg.f64 (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 (+.f64 (/.f64 1 y) -1) 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 1 y) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x (*.f64 x y)))) (-.f64 (/.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 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x (*.f64 x y))))) (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 1 y) (+.f64 (+.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 1 y) (-.f64 (/.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 1 y) (/.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 1 y) (-.f64 (+.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 x) (/.f64 1 (*.f64 x (*.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (*.f64 x y)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) (/.f64 (+.f64 1 (/.f64 -1 y)) x)))
(+.f64 (/.f64 1 y) (neg.f64 (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 (+.f64 (/.f64 1 y) -1) 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 (/.f64 1 y) (/.f64 1 (*.f64 y (*.f64 x x)))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 y) -1) x) (/.f64 (neg.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 (/.f64 1 y) -1) (pow.f64 x 3))) (/.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) (*.f64 (/.f64 (+.f64 (/.f64 1 y) -1) x) (+.f64 -1 (/.f64 (/.f64 -1 x) x)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) x) (*.f64 (+.f64 (/.f64 -1 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)))

localize5.0ms (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)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 13 computations (35% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite57.0ms (0.8%)

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)))))))

simplify26.0ms (0.3%)

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)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (/.f64 x y))
✓5.9b
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
Compiler

Compiled 25 to 10 computations (60% saved)

series6.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@0
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
1.0ms
x
@0
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
0.0ms
y
@inf
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
0.0ms
y
@-inf
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
0.0ms
x
@inf
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))

rewrite66.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
501×log-prod_binary64
383×exp-prod_binary64
307×pow-prod-down_binary64
235×pow2_binary64
179×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
117713
2262313
Stop Event
1×node limit
Counts
1 → 63
Calls
Call 1
Inputs
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 (+.f64 x 1) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 x y) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (*.f64 x (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x y)) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))) 2) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) (*.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 (/.f64 x y))) (/.f64 1 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (/.f64 x y) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) 1) (/.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 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) 1) (/.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 y)) 1) (/.f64 (/.f64 x (sqrt.f64 y)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (/.f64 x y) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) (/.f64 (*.f64 x (/.f64 x y)) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (/.f64 x (sqrt.f64 y)) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 x y) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) -1/2) (/.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (/.f64 x y)) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (/.f64 x y)) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) 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 (/.f64 x (+.f64 x 1)) (/.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 x 1) (*.f64 x x)) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) (pow.f64 (+.f64 x 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 x 1) (*.f64 x x)) y) 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 y)) (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))))))) (#(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 (*.f64 1/3 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (/.f64 x (sqrt.f64 y))) (*.f64 1/2 (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (*.f64 x (/.f64 x y)))) -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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (-.f64 (log1p.f64 x) (log.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x y))) 1) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (*.f64 (log1p.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x y))) 1) (*.f64 (log1p.f64 x) 1)))))))

simplify77.0ms (1%)

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
87 → 80
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))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 x (/.f64 y x))
✓5.9b
(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x 1))
Compiler

Compiled 34 to 11 computations (67.6% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite76.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
582×log-prod_binary64
352×pow-prod-down_binary64
326×fma-def_binary64
284×pow2_binary64
229×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
120921
2328821
Stop Event
1×node limit
Counts
2 → 86
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x 1))
(/.f64 x (/.f64 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) (exp.f64 (neg.f64 (log1p.f64 x))))))) (#(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)) (exp.f64 (neg.f64 (log1p.f64 x)))))))) (#(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)) (exp.f64 (neg.f64 (log1p.f64 x)))))))) (#(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 (exp.f64 (neg.f64 (log1p.f64 x))) (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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x)) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x)) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 3) (pow.f64 (+.f64 x 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (/.f64 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 +.f64 0 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 2) (cbrt.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 x y))) (sqrt.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) y) (/.f64 (cbrt.f64 x) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) -2) (/.f64 x (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y x) -1/2) (/.f64 x (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (*.f64 x x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x y))) 1))))))

simplify68.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
629×associate--l+_binary64
575×associate-+l-_binary64
407×+-commutative_binary64
381×unsub-neg_binary64
330×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
057663
1156663
2444607
31896571
46690567
Stop Event
1×node limit
Counts
134 → 109
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)
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 (*.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 (+.f64 (/.f64 1 y) -1) (*.f64 x x) (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 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(-.f64 1 (-.f64 (/.f64 1 y) (/.f64 x 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 x) (/.f64 1 y)))))
(+.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 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 (*.f64 x x)))) (-.f64 1 (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 -1 x) (/.f64 1 y))) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 (+.f64 (/.f64 x y) (/.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 (/.f64 x y) (/.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 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 1 (-.f64 (/.f64 1 y) (/.f64 x y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x)))) (/.f64 1 y))
(+.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 x) (/.f64 1 y)))))
(+.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 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 (*.f64 x x)))) (-.f64 1 (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 -1 x) (/.f64 1 y))) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 (+.f64 (/.f64 x y) (/.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 (/.f64 x y) (/.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 (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 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 x (/.f64 y x))
(*.f64 (/.f64 x y) 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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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))

eval133.0ms (1.8%)

Compiler

Compiled 6757 to 3835 computations (43.2% saved)

prune76.0ms (1%)

Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New4508458
Fresh246
Picked101
Done235
Total45515470
Error
0b
Counts
470 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
53.7b
1
▶0.1b
(/.f64 x (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y))))
26.4b
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
▶37.5b
(+.f64 (/.f64 x y) 1)
✓45.8b
(/.f64 x y)
35.7b
x
✓41.9b
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
▶36.1b
(*.f64 x (-.f64 1 x))
▶41.9b
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1))
35.7b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 x y) (+.f64 x 1)))
52.5b
(*.f64 x (/.f64 x y))
✓27.4b
(/.f64 x (+.f64 x 1))
46.2b
(/.f64 (-.f64 x 1) y)
▶46.2b
(-.f64 (/.f64 x y) (/.f64 1 y))
46.1b
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1))
Compiler

Compiled 221 to 146 computations (33.9% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 36 to 19 computations (47.2% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite83.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
578×log-prod_binary64
418×prod-diff_binary64
310×fma-def_binary64
281×pow2_binary64
241×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
120929
2327929
Stop Event
1×node limit
Counts
2 → 111
Calls
Call 1
Inputs
(/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y)))
(/.f64 x (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 x 1)) 1) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) (*.f64 (/.f64 x (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 x y))) (/.f64 x (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 x y))) (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 x y))) (/.f64 x (+.f64 x 1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 x 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1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 x y))) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (/.f64 x y)) (-.f64 (log.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 x y)) (-.f64 (log.f64 x) (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 x 1)) 1 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y) (*.f64 (/.f64 x (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1))) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))))))))

simplify51.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
628×fma-def_binary64
561×times-frac_binary64
473×associate-+l+_binary64
347×associate-/l*_binary64
328×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01321207
14091184
21467985
Stop Event
1×node limit
Counts
159 → 166
Calls
Call 1
Inputs
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))))
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)))
Outputs
1
(+.f64 1 (*.f64 (-.f64 1 (/.f64 1 y)) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) x 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 (-.f64 1 (/.f64 1 y)) x)))
(+.f64 (fma.f64 (+.f64 1 (/.f64 -1 y)) x 1) (*.f64 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)) (*.f64 x x)))
(fma.f64 x (*.f64 x (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y))) (fma.f64 (+.f64 1 (/.f64 -1 y)) x 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 (-.f64 1 (/.f64 1 y)) x))))
(+.f64 (fma.f64 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 3))) (pow.f64 x 3) (*.f64 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)) (*.f64 x x))) (fma.f64 (+.f64 1 (/.f64 -1 y)) x 1))
(fma.f64 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 3))) (pow.f64 x 3) (fma.f64 x (*.f64 x (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y))) (fma.f64 (+.f64 1 (/.f64 -1 y)) x 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 (/.f64 y x) (-.f64 y (/.f64 y (/.f64 x y))))
(+.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 y (/.f64 (*.f64 x x) (-.f64 y (*.f64 y y)))) (+.f64 y (/.f64 y x))) (/.f64 (*.f64 y y) x))
(-.f64 (-.f64 (+.f64 y (/.f64 y x)) (*.f64 (/.f64 y (*.f64 x x)) (-.f64 y (*.f64 y y)))) (/.f64 y (/.f64 x y)))
(+.f64 y (*.f64 (/.f64 (-.f64 (*.f64 y y) y) x) (+.f64 -1 (/.f64 y 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))
(-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 y (*.f64 y y)))) (+.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 x x)) (-.f64 y (*.f64 y y)))) (/.f64 (+.f64 (pow.f64 y 3) (neg.f64 (pow.f64 y 4))) (pow.f64 x 3))) (/.f64 y (/.f64 x y)))
(+.f64 y (+.f64 (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 y 4)) (pow.f64 x 3)) (*.f64 (/.f64 (-.f64 (*.f64 y y) y) x) (+.f64 -1 (/.f64 y x)))))
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 (/.f64 y x) (-.f64 y (/.f64 y (/.f64 x y))))
(+.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 y (/.f64 (*.f64 x x) (-.f64 y (*.f64 y y)))) (+.f64 y (/.f64 y x))) (/.f64 (*.f64 y y) x))
(-.f64 (-.f64 (+.f64 y (/.f64 y x)) (*.f64 (/.f64 y (*.f64 x x)) (-.f64 y (*.f64 y y)))) (/.f64 y (/.f64 x y)))
(+.f64 y (*.f64 (/.f64 (-.f64 (*.f64 y y) y) x) (+.f64 -1 (/.f64 y x))))
(+.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 y (/.f64 (*.f64 x x) (-.f64 y (*.f64 y y)))) (+.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 x x)) (-.f64 y (*.f64 y y)))) (/.f64 (+.f64 (pow.f64 y 3) (neg.f64 (pow.f64 y 4))) (pow.f64 x 3))) (/.f64 y (/.f64 x y)))
(+.f64 y (+.f64 (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 y 4)) (pow.f64 x 3)) (*.f64 (/.f64 (-.f64 (*.f64 y y) y) x) (+.f64 -1 (/.f64 y x)))))
(/.f64 (*.f64 y (+.f64 1 x)) x)
(/.f64 (+.f64 1 x) (/.f64 x y))
(*.f64 (/.f64 y x) (+.f64 1 x))
(/.f64 (fma.f64 y x 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 (*.f64 x x)) (/.f64 1 x))) (/.f64 (+.f64 1 x) (/.f64 x y)))
(fma.f64 (neg.f64 (*.f64 y y)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (*.f64 (/.f64 y x) (+.f64 1 x)))
(*.f64 y (-.f64 (/.f64 (+.f64 1 x) x) (+.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 (*.f64 x x)) (/.f64 1 x))) (/.f64 (+.f64 1 x) (/.f64 x y))) (/.f64 (pow.f64 y 3) (/.f64 x (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (*.f64 y y)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (*.f64 (/.f64 y x) (+.f64 1 x))) (*.f64 (/.f64 (pow.f64 y 3) x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))))
(+.f64 (/.f64 (fma.f64 y x y) x) (*.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (+.f64 (/.f64 (pow.f64 y 3) x) (*.f64 y (neg.f64 y)))))
(+.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 (*.f64 x x)) (/.f64 1 x))) (/.f64 (+.f64 1 x) (/.f64 x y))) (/.f64 (pow.f64 y 3) (/.f64 x (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))))))
(-.f64 (+.f64 (fma.f64 (neg.f64 (*.f64 y y)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (*.f64 (/.f64 y x) (+.f64 1 x))) (*.f64 (/.f64 (pow.f64 y 3) x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))) (*.f64 (pow.f64 y 4) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 (fma.f64 y x y) x) (-.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (+.f64 (/.f64 (pow.f64 y 3) x) (*.f64 y (neg.f64 y)))) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 y (pow.f64 (/.f64 y x) 3)))))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 x) x) y)) x))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 1 x) (/.f64 y x)) x))
(+.f64 1 (-.f64 x (*.f64 (/.f64 (+.f64 1 x) y) x)))
(+.f64 1 (-.f64 x (/.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 1 x) (/.f64 y x)) (+.f64 x (/.f64 (+.f64 1 x) (/.f64 (*.f64 y y) (*.f64 x x))))))
(+.f64 1 (+.f64 (-.f64 x (*.f64 (/.f64 (+.f64 1 x) y) x)) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (+.f64 1 x) y))))
(+.f64 (fma.f64 (/.f64 (+.f64 1 x) (*.f64 y y)) (*.f64 x x) x) (-.f64 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 1 x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 -1 (/.f64 (+.f64 1 x) (/.f64 y x)) (+.f64 x (/.f64 (+.f64 1 x) (/.f64 (*.f64 y y) (*.f64 x x)))))))
(+.f64 1 (-.f64 (+.f64 (-.f64 x (*.f64 (/.f64 (+.f64 1 x) y) x)) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (+.f64 1 x) y))) (/.f64 (+.f64 1 x) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(+.f64 x (+.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 1 x) y) (+.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) x))) (*.f64 (/.f64 (fma.f64 x x x) y) (/.f64 x y))))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 x) x) y)) x))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 1 x) (/.f64 y x)) x))
(+.f64 1 (-.f64 x (*.f64 (/.f64 (+.f64 1 x) y) x)))
(+.f64 1 (-.f64 x (/.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 1 x) (/.f64 y x)) (+.f64 x (/.f64 (+.f64 1 x) (/.f64 (*.f64 y y) (*.f64 x x))))))
(+.f64 1 (+.f64 (-.f64 x (*.f64 (/.f64 (+.f64 1 x) y) x)) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (+.f64 1 x) y))))
(+.f64 (fma.f64 (/.f64 (+.f64 1 x) (*.f64 y y)) (*.f64 x x) x) (-.f64 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 1 x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 -1 (/.f64 (+.f64 1 x) (/.f64 y x)) (+.f64 x (/.f64 (+.f64 1 x) (/.f64 (*.f64 y y) (*.f64 x x)))))))
(+.f64 1 (-.f64 (+.f64 (-.f64 x (*.f64 (/.f64 (+.f64 1 x) y) x)) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (+.f64 1 x) y))) (/.f64 (+.f64 1 x) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(+.f64 x (+.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 1 x) y) (+.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) x))) (*.f64 (/.f64 (fma.f64 x x x) y) (/.f64 x y))))
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 (/.f64 1 y) -1) 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 x x) (+.f64 (/.f64 1 y) -1) 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 (/.f64 1 y) -1) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (*.f64 x x) (+.f64 (/.f64 1 y) -1) x)))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) -1) (fma.f64 (*.f64 x x) (+.f64 (/.f64 1 y) -1) x)))
(/.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 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 (/.f64 1 y) x)) (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 1 y) x)) (+.f64 (/.f64 -1 x) (/.f64 -1 y))))
(+.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 x 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 (+.f64 (+.f64 1 (/.f64 (/.f64 1 y) x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 (/.f64 1 y) (*.f64 x x)))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 x y) (/.f64 (/.f64 1 y) x)))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 y (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 y x))) (+.f64 (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)) (+.f64 (/.f64 1 y) (/.f64 1 x))) 1))
(/.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 (/.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 (/.f64 1 y) x)) (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 1 y) x)) (+.f64 (/.f64 -1 x) (/.f64 -1 y))))
(+.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 x 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 (/.f64 x y) (/.f64 (/.f64 1 y) x)) (neg.f64 (+.f64 (/.f64 1 y) -1)))) (/.f64 1 x))
(+.f64 (+.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 x y) (/.f64 (/.f64 1 y) x))) (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 (+.f64 (/.f64 1 y) -1) x)) (/.f64 -1 y)) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 1 x))
(*.f64 (/.f64 x y) (/.f64 x (+.f64 1 x)))
(*.f64 (/.f64 x (fma.f64 y x 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 (*.f64 x x) y) (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 1 x))))
(*.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 (*.f64 x x) y) (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 1 x))))
(*.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 (*.f64 x x) y) (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 1 x))))
(*.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 (*.f64 x x) y) (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 1 x))))
(*.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 (*.f64 x x) y) (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 1 x))))
(*.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 (*.f64 x x) y) (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 1 x))))
(*.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 (*.f64 x x) y) (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 1 x))))
(*.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 (*.f64 x x) y) (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 1 x))))
(*.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 (*.f64 x x) y) (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 1 x))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x)))

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 8 computations (33.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 x (-.f64 1 x))
1.0ms
x
@0
(*.f64 x (-.f64 1 x))
0.0ms
x
@inf
(*.f64 x (-.f64 1 x))

rewrite48.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
529×pow1_binary64
513×add-sqr-sqrt_binary64
493×add-log-exp_binary64
493×log1p-expm1-u_binary64
493×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11037
212977
Stop Event
1×node limit
Counts
1 → 17
Calls
Call 1
Inputs
(*.f64 x (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.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 (+.f64 1 (*.f64 x (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) x) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 1 x))))))))

simplify45.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
885×fma-neg_binary64
609×associate-*l*_binary64
455×unswap-sqr_binary64
439×cancel-sign-sub-inv_binary64
417×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0785
11676
23376
37376
420276
575976
6357976
Stop Event
1×node limit
Counts
29 → 22
Calls
Call 1
Inputs
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
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 x (-.f64 1 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 x (-.f64 1 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 x (-.f64 1 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)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(*.f64 x (-.f64 1 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 x (-.f64 1 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 x (-.f64 1 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)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(*.f64 x (-.f64 1 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 x (-.f64 1 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 x (-.f64 1 x))

localize5.0ms (0.1%)

Compiler

Compiled 13 to 6 computations (53.8% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts
1 → 15
Calls

6 calls:

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

rewrite60.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
949×pow1_binary64
890×log1p-expm1-u_binary64
890×expm1-log1p-u_binary64
889×add-log-exp_binary64
83×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11597
224327
Stop Event
1×node limit
Counts
1 → 56
Calls
Call 1
Inputs
(-.f64 (/.f64 x y) (/.f64 1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (/.f64 -1 y))))) (#(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 (-.f64 x 1) y) (fma.f64 (/.f64 -1 y) 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.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 (-.f64 x 1) y) (fma.f64 (neg.f64 (pow.f64 y -1/2)) (pow.f64 y -1/2) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 x 1))))) (#(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 (sqrt.f64 (/.f64 (-.f64 x 1) y)) (sqrt.f64 (/.f64 (-.f64 x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x y) y) (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x 1) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (pow.f64 y -2) (*.f64 x (pow.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 y -2)) (/.f64 1 (+.f64 (/.f64 x y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 y -1/2)) (-.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y y) (-.f64 (*.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (pow.f64 y -2) (*.f64 x (pow.f64 y -2)))) (-.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 x y) (/.f64 1 y)) (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x y) y) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3)) (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (pow.f64 y -2) (*.f64 x (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 y -2)) (+.f64 (/.f64 x y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x y) y)) (neg.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x 1)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3))) (neg.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (pow.f64 y -2) (*.f64 x (pow.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 y -2))) (neg.f64 (+.f64 (/.f64 x y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 y (*.f64 (/.f64 y x) 1)) (*.f64 (/.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 y -1)) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 y) (*.f64 (/.f64 y x) -1)) (*.f64 (/.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) -1)) (*.f64 (neg.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 x) -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (/.f64 -1 y) 3)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 (*.f64 (/.f64 -1 y) (/.f64 -1 y)) (*.f64 (/.f64 x y) (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (*.f64 (/.f64 -1 y) (/.f64 -1 y))) (-.f64 (/.f64 x y) (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 x y) y) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x 1) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x 1) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x 1) (sqrt.f64 y)) (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 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 log.f64 (+.f64 1 (expm1.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 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)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 y) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x y) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (/.f64 -1 y))))))

simplify21.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
91×fma-def_binary64
81×fma-neg_binary64
43×unsub-neg_binary64
28×cancel-sign-sub-inv_binary64
25×div-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01396
12696
24796
36596
411596
531696
661196
764096
Stop Event
1×saturated
Counts
71 → 60
Calls
Call 1
Inputs
(/.f64 -1 y)
(/.f64 x y)
(/.f64 x y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y))
(*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y))
(*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y))
(*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y))
Outputs
(/.f64 -1 y)
(/.f64 x y)
(/.f64 x y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 x (/.f64 y x))
✓5.9b
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1))
Compiler

Compiled 25 to 10 computations (60% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite78.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
530×log-prod_binary64
409×exp-prod_binary64
330×pow-prod-down_binary64
242×pow2_binary64
226×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
118213
2284313
Stop Event
1×node limit
Counts
1 → 60
Calls
Call 1
Inputs
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 x y) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x y)) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) (/.f64 (+.f64 x 1) x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) (/.f64 (+.f64 x 1) x)) -2)) (cbrt.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 2) (*.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x))) (sqrt.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 x y))) (*.f64 (sqrt.f64 (*.f64 x (/.f64 x y))) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (/.f64 1 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (*.f64 x (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1)) (/.f64 (cbrt.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (+.f64 x 1)) (/.f64 (sqrt.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (/.f64 x y) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (/.f64 x y))) 1) (/.f64 (sqrt.f64 (*.f64 x (/.f64 x y))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) 1) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (/.f64 x y) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule 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(+.f64 x 1))) (/.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (/.f64 x y)) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (/.f64 x y)) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x)) 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 (/.f64 y x) (/.f64 (+.f64 x 1) x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x))) 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 y)) 3) (pow.f64 (+.f64 x 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 x 1)) -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 y)) (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) (/.f64 (+.f64 x 1) x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 x y)) 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x))))))) (#(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 (/.f64 x y) (/.f64 (+.f64 x 1) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 (/.f64 y (*.f64 x 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))))))

simplify82.0ms (1.1%)

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
84 → 77
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))

eval172.0ms (2.3%)

Compiler

Compiled 5789 to 3290 computations (43.2% saved)

prune94.0ms (1.2%)

Pruning

17 alts after pruning (10 fresh and 7 done)

PrunedKeptTotal
New3647371
Fresh437
Picked011
Done167
Total36917386
Error
0b
Counts
386 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
53.7b
1
✓0.1b
(/.f64 x (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y))))
✓27.4b
(/.f64 x (+.f64 x 1))
35.7b
x
26.4b
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
46.2b
(/.f64 (-.f64 x 1) y)
✓37.5b
(+.f64 (/.f64 x y) 1)
✓45.8b
(/.f64 x y)
52.5b
(*.f64 x (/.f64 x y))
61.6b
(*.f64 x (neg.f64 x))
✓36.1b
(*.f64 x (-.f64 1 x))
✓41.9b
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1))
46.3b
(/.f64 1 (/.f64 y (-.f64 x 1)))
39.8b
(/.f64 x (/.f64 (*.f64 y (+.f64 1 x)) x))
36.1b
(+.f64 x (*.f64 (neg.f64 x) x))
✓46.2b
(-.f64 (/.f64 x y) (/.f64 1 y))
46.1b
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1))
Compiler

Compiled 135 to 90 computations (33.3% saved)

regimes141.0ms (1.9%)

Counts
38 → 1
Calls
Call 1
Inputs
x
1
1
x
x
(/.f64 x y)
(*.f64 x (neg.f64 x))
(/.f64 (-.f64 x 1) y)
(*.f64 x (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(*.f64 x (-.f64 1 x))
(*.f64 x (/.f64 x y))
(/.f64 (-.f64 x 1) y)
(/.f64 x (+.f64 x 1))
(/.f64 x (+.f64 x 1))
(+.f64 x (*.f64 (neg.f64 x) x))
(/.f64 1 (/.f64 y (-.f64 x 1)))
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 (-.f64 x 1) y) 1)
(/.f64 x (/.f64 (*.f64 y (+.f64 1 x)) x))
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1))
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1))
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(*.f64 (/.f64 x 1) (/.f64 (/.f64 x y) (+.f64 x 1)))
(/.f64 x (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y))))
(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x 1))
(/.f64 (+.f64 (/.f64 (*.f64 x x) y) x) (+.f64 x 1))
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
(*.f64 (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
(*.f64 (/.f64 x 1) (/.f64 (+.f64 (/.f64 x y) 1) (+.f64 x 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))
(/.f64 (*.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))) (+.f64 x 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x)) -2) -1) (pow.f64 (/.f64 (+.f64 x 1) (cbrt.f64 (fma.f64 x (/.f64 x y) x))) -1))
Outputs
(*.f64 (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1))
Calls

4 calls:

33.0ms
x
32.0ms
y
30.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
30.0ms
(/.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 340 to 171 computations (49.7% saved)

regimes66.0ms (0.9%)

Counts
30 → 1
Calls
Call 1
Inputs
x
1
1
x
x
(/.f64 x y)
(*.f64 x (neg.f64 x))
(/.f64 (-.f64 x 1) y)
(*.f64 x (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(*.f64 x (-.f64 1 x))
(*.f64 x (/.f64 x y))
(/.f64 (-.f64 x 1) y)
(/.f64 x (+.f64 x 1))
(/.f64 x (+.f64 x 1))
(+.f64 x (*.f64 (neg.f64 x) x))
(/.f64 1 (/.f64 y (-.f64 x 1)))
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 (-.f64 x 1) y) 1)
(/.f64 x (/.f64 (*.f64 y (+.f64 1 x)) x))
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1))
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1))
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(*.f64 (/.f64 x 1) (/.f64 (/.f64 x y) (+.f64 x 1)))
(/.f64 x (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y))))
(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x 1))
(/.f64 (+.f64 (/.f64 (*.f64 x x) y) x) (+.f64 x 1))
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
Outputs
(/.f64 x (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y))))
Calls

2 calls:

28.0ms
x
28.0ms
y
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
Compiler

Compiled 196 to 94 computations (52% saved)

regimes304.0ms (4%)

Counts
26 → 3
Calls
Call 1
Inputs
x
1
1
x
x
(/.f64 x y)
(*.f64 x (neg.f64 x))
(/.f64 (-.f64 x 1) y)
(*.f64 x (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(*.f64 x (-.f64 1 x))
(*.f64 x (/.f64 x y))
(/.f64 (-.f64 x 1) y)
(/.f64 x (+.f64 x 1))
(/.f64 x (+.f64 x 1))
(+.f64 x (*.f64 (neg.f64 x) x))
(/.f64 1 (/.f64 y (-.f64 x 1)))
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 (-.f64 x 1) y) 1)
(/.f64 x (/.f64 (*.f64 y (+.f64 1 x)) x))
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1))
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1))
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(*.f64 (/.f64 x 1) (/.f64 (/.f64 x y) (+.f64 x 1)))
Outputs
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(+.f64 (/.f64 (-.f64 x 1) y) 1)
Calls

2 calls:

217.0ms
y
77.0ms
x
Results
ErrorSegmentsBranch
1.6b3x
12.4b9y
Compiler

Compiled 152 to 76 computations (50% saved)

bsearch76.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
37.0ms
0.18725208196171444
1.3366047380258772
38.0ms
-5.773894610190541
-1.8797001965978277e-9
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes149.0ms (2%)

Counts
24 → 3
Calls
Call 1
Inputs
x
1
1
x
x
(/.f64 x y)
(*.f64 x (neg.f64 x))
(/.f64 (-.f64 x 1) y)
(*.f64 x (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(*.f64 x (-.f64 1 x))
(*.f64 x (/.f64 x y))
(/.f64 (-.f64 x 1) y)
(/.f64 x (+.f64 x 1))
(/.f64 x (+.f64 x 1))
(+.f64 x (*.f64 (neg.f64 x) x))
(/.f64 1 (/.f64 y (-.f64 x 1)))
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 (-.f64 x 1) y) 1)
(/.f64 x (/.f64 (*.f64 y (+.f64 1 x)) x))
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1))
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1))
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
Outputs
(+.f64 (/.f64 (-.f64 x 1) y) 1)
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(+.f64 (/.f64 (-.f64 x 1) y) 1)
Calls

2 calls:

107.0ms
y
34.0ms
x
Results
ErrorSegmentsBranch
1.6b3x
12.4b9y
Compiler

Compiled 132 to 65 computations (50.8% saved)

bsearch39.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
0.18725208196171444
1.3366047380258772
20.0ms
-5.773894610190541
-1.8797001965978277e-9
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes124.0ms (1.6%)

Counts
22 → 4
Calls
Call 1
Inputs
x
1
1
x
x
(/.f64 x y)
(*.f64 x (neg.f64 x))
(/.f64 (-.f64 x 1) y)
(*.f64 x (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(*.f64 x (-.f64 1 x))
(*.f64 x (/.f64 x y))
(/.f64 (-.f64 x 1) y)
(/.f64 x (+.f64 x 1))
(/.f64 x (+.f64 x 1))
(+.f64 x (*.f64 (neg.f64 x) x))
(/.f64 1 (/.f64 y (-.f64 x 1)))
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 (-.f64 x 1) y) 1)
(/.f64 x (/.f64 (*.f64 y (+.f64 1 x)) x))
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1))
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1))
Outputs
(+.f64 (/.f64 x y) 1)
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 (-.f64 x 1) y) 1)
Calls

2 calls:

78.0ms
y
42.0ms
x
Results
ErrorSegmentsBranch
9.9b4x
14.8b7y
Compiler

Compiled 114 to 59 computations (48.2% saved)

bsearch58.0ms (0.8%)

Algorithm
3×binary-search
Steps
TimeLeftRight
18.0ms
0.18725208196171444
1.3366047380258772
19.0ms
-2.499890656474238e-74
-2.9631910833952526e-75
20.0ms
-9098109552617528000.0
-2796971593112962.5
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes117.0ms (1.6%)

Counts
20 → 4
Calls
Call 1
Inputs
x
1
1
x
x
(/.f64 x y)
(*.f64 x (neg.f64 x))
(/.f64 (-.f64 x 1) y)
(*.f64 x (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(*.f64 x (-.f64 1 x))
(*.f64 x (/.f64 x y))
(/.f64 (-.f64 x 1) y)
(/.f64 x (+.f64 x 1))
(/.f64 x (+.f64 x 1))
(+.f64 x (*.f64 (neg.f64 x) x))
(/.f64 1 (/.f64 y (-.f64 x 1)))
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 (-.f64 x 1) y) 1)
(/.f64 x (/.f64 (*.f64 y (+.f64 1 x)) x))
Outputs
(+.f64 (/.f64 (-.f64 x 1) y) 1)
(/.f64 x (/.f64 (*.f64 y (+.f64 1 x)) x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 (-.f64 x 1) y) 1)
Calls

2 calls:

74.0ms
y
38.0ms
x
Results
ErrorSegmentsBranch
9.9b4x
14.8b7y
Compiler

Compiled 96 to 49 computations (49% saved)

bsearch60.0ms (0.8%)

Algorithm
3×binary-search
Steps
TimeLeftRight
20.0ms
0.18725208196171444
1.3366047380258772
19.0ms
-2.499890656474238e-74
-2.9631910833952526e-75
20.0ms
-2796971593112962.5
-719.5529687431361
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes107.0ms (1.4%)

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

2 calls:

72.0ms
y
30.0ms
x
Results
ErrorSegmentsBranch
11.0b3x
19.9b7y
Compiler

Compiled 87 to 44 computations (49.4% saved)

bsearch40.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.18725208196171444
1.3366047380258772
20.0ms
-8.156010912272864
-5.773894610190541
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes102.0ms (1.4%)

Counts
18 → 3
Calls
Call 1
Inputs
x
1
1
x
x
(/.f64 x y)
(*.f64 x (neg.f64 x))
(/.f64 (-.f64 x 1) y)
(*.f64 x (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(*.f64 x (-.f64 1 x))
(*.f64 x (/.f64 x y))
(/.f64 (-.f64 x 1) y)
(/.f64 x (+.f64 x 1))
(/.f64 x (+.f64 x 1))
(+.f64 x (*.f64 (neg.f64 x) x))
(/.f64 1 (/.f64 y (-.f64 x 1)))
(-.f64 (/.f64 x y) (/.f64 1 y))
Outputs
(+.f64 (/.f64 x y) 1)
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x y) 1)
Calls

2 calls:

68.0ms
y
30.0ms
x
Results
ErrorSegmentsBranch
11.1b3x
19.9b7y
Compiler

Compiled 80 to 39 computations (51.3% saved)

bsearch64.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
31.0ms
0.07269922170002763
0.181377938244534
33.0ms
-8.156010912272864
-5.773894610190541
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes164.0ms (2.2%)

Counts
13 → 4
Calls
Call 1
Inputs
x
1
1
x
x
(/.f64 x y)
(*.f64 x (neg.f64 x))
(/.f64 (-.f64 x 1) y)
(*.f64 x (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(*.f64 x (-.f64 1 x))
(*.f64 x (/.f64 x y))
(/.f64 (-.f64 x 1) y)
Outputs
(+.f64 (/.f64 x y) 1)
(*.f64 x (/.f64 x y))
(*.f64 x (-.f64 1 x))
(+.f64 (/.f64 x y) 1)
Calls

2 calls:

103.0ms
y
56.0ms
x
Results
ErrorSegmentsBranch
10.3b4x
23.1b8y
Compiler

Compiled 50 to 23 computations (54% saved)

bsearch92.0ms (1.2%)

Algorithm
3×binary-search
Steps
TimeLeftRight
27.0ms
0.07269922170002763
0.181377938244534
32.0ms
-2.499890656474238e-74
-2.9631910833952526e-75
33.0ms
-5.773894610190541
-1.8797001965978277e-9
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes113.0ms (1.5%)

Counts
10 → 4
Calls
Call 1
Inputs
x
1
1
x
x
(/.f64 x y)
(*.f64 x (neg.f64 x))
(/.f64 (-.f64 x 1) y)
(*.f64 x (/.f64 x y))
(+.f64 (/.f64 x y) 1)
Outputs
(+.f64 (/.f64 x y) 1)
(*.f64 x (/.f64 x y))
x
(+.f64 (/.f64 x y) 1)
Calls

2 calls:

76.0ms
y
34.0ms
x
Results
ErrorSegmentsBranch
10.4b4x
23.2b8y
Compiler

Compiled 35 to 17 computations (51.4% saved)

bsearch60.0ms (0.8%)

Algorithm
3×binary-search
Steps
TimeLeftRight
20.0ms
0.07269922170002763
0.181377938244534
20.0ms
-2.499890656474238e-74
-2.9631910833952526e-75
20.0ms
-5.773894610190541
-1.8797001965978277e-9
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes66.0ms (0.9%)

Counts
9 → 6
Calls
Call 1
Inputs
x
1
1
x
x
(/.f64 x y)
(*.f64 x (neg.f64 x))
(/.f64 (-.f64 x 1) y)
(*.f64 x (/.f64 x y))
Outputs
(/.f64 x y)
1
(/.f64 (-.f64 x 1) y)
(*.f64 x (/.f64 x y))
x
(/.f64 (-.f64 x 1) y)
Calls

2 calls:

32.0ms
y
32.0ms
x
Results
ErrorSegmentsBranch
18.0b6x
27.8b6y
Compiler

Compiled 30 to 15 computations (50% saved)

bsearch112.0ms (1.5%)

Algorithm
5×binary-search
Steps
TimeLeftRight
21.0ms
0.18725208196171444
1.3366047380258772
20.0ms
-2.499890656474238e-74
-2.9631910833952526e-75
20.0ms
-5.773894610190541
-1.8797001965978277e-9
30.0ms
-2.4142102007617868e+210
-6.804626273688062e+206
21.0ms
-2.4097356157924446e+246
-1.1313045771594872e+245
Compiler

Compiled 184 to 149 computations (19% saved)

regimes58.0ms (0.8%)

Counts
8 → 5
Calls
Call 1
Inputs
x
1
1
x
x
(/.f64 x y)
(*.f64 x (neg.f64 x))
(/.f64 (-.f64 x 1) y)
Outputs
(/.f64 x y)
1
(/.f64 (-.f64 x 1) y)
x
(/.f64 (-.f64 x 1) y)
Calls

2 calls:

29.0ms
y
27.0ms
x
Results
ErrorSegmentsBranch
19.1b5x
31.5b6y
Compiler

Compiled 25 to 14 computations (44% saved)

bsearch91.0ms (1.2%)

Algorithm
4×binary-search
Steps
TimeLeftRight
20.0ms
0.18725208196171444
1.3366047380258772
20.0ms
-5.773894610190541
-1.8797001965978277e-9
29.0ms
-2.4142102007617868e+210
-6.804626273688062e+206
21.0ms
-2.4097356157924446e+246
-1.1313045771594872e+245
Compiler

Compiled 184 to 149 computations (19% saved)

regimes55.0ms (0.7%)

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

2 calls:

29.0ms
y
24.0ms
x
Results
ErrorSegmentsBranch
19.3b5x
31.5b6y
Compiler

Compiled 20 to 11 computations (45% saved)

bsearch92.0ms (1.2%)

Algorithm
4×binary-search
Steps
TimeLeftRight
19.0ms
0.07269922170002763
0.181377938244534
20.0ms
-5.773894610190541
-1.8797001965978277e-9
29.0ms
-2.4142102007617868e+210
-6.804626273688062e+206
22.0ms
-2.4097356157924446e+246
-1.1313045771594872e+245
Compiler

Compiled 168 to 133 computations (20.8% saved)

regimes28.0ms (0.4%)

Accuracy

Total -34.3b remaining (-123.6%)

Threshold costs -34.3b (-123.6%)

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

2 calls:

13.0ms
y
13.0ms
x
Results
ErrorSegmentsBranch
27.8b3x
33.9b2y
Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch41.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
1647078740733973.5
4309715629669413.5
21.0ms
-5.773894610190541
-1.8797001965978277e-9
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify28.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
10×+-commutative_binary64
7×*-commutative_binary64
6×sub-neg_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082551
1104551
2113551
3117551
4119551
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1))
(/.f64 x (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y))))
(if (<=.f64 x -6500827403732659/1125899906842624) (-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) (if (<=.f64 x 3373233626188507/18014398509481984) (+.f64 x (*.f64 x (-.f64 (/.f64 x y) x))) (+.f64 (/.f64 (-.f64 x 1) y) 1)))
(if (<=.f64 x -6500827403732659/1125899906842624) (+.f64 (/.f64 (-.f64 x 1) y) 1) (if (<=.f64 x 3373233626188507/18014398509481984) (+.f64 x (*.f64 x (-.f64 (/.f64 x y) x))) (+.f64 (/.f64 (-.f64 x 1) y) 1)))
(if (<=.f64 x -9098109552617528320) (+.f64 (/.f64 x y) 1) (if (<=.f64 x -6365459005175573/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1)) (if (<=.f64 x 3373233626188507/18014398509481984) (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 (-.f64 x 1) y) 1))))
(if (<=.f64 x -5593943186225925/2) (+.f64 (/.f64 (-.f64 x 1) y) 1) (if (<=.f64 x -6365459005175573/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (/.f64 x (/.f64 (*.f64 y (+.f64 1 x)) x)) (if (<=.f64 x 3373233626188507/18014398509481984) (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 (-.f64 x 1) y) 1))))
(if (<=.f64 x -4591425963167721/562949953421312) (+.f64 (/.f64 (-.f64 x 1) y) 1) (if (<=.f64 x 3373233626188507/18014398509481984) (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 (-.f64 x 1) y) 1)))
(if (<=.f64 x -4591425963167721/562949953421312) (+.f64 (/.f64 x y) 1) (if (<=.f64 x 654816375516739/9007199254740992) (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1)))
(if (<=.f64 x -6500827403732659/1125899906842624) (+.f64 (/.f64 x y) 1) (if (<=.f64 x -6365459005175573/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (*.f64 x (/.f64 x y)) (if (<=.f64 x 654816375516739/9007199254740992) (*.f64 x (-.f64 1 x)) (+.f64 (/.f64 x y) 1))))
(if (<=.f64 x -6500827403732659/1125899906842624) (+.f64 (/.f64 x y) 1) (if (<=.f64 x -6365459005175573/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (*.f64 x (/.f64 x y)) (if (<=.f64 x 654816375516739/9007199254740992) x (+.f64 (/.f64 x y) 1))))
(if (<=.f64 x -2400000000000000009354715214206030077199077169700860442369374438149585253792101508001835737865526444938923709535103335424926677804267286058189747507357992094542972025368698104516025844584876509107689361290683248995611597328835033431099809906819072) (/.f64 x y) (if (<=.f64 x -700000000000000027225504285761871901915160745066414093340116674053839060025694277341559759255143909711285222183588493039472194279866062931578128570548882582481042103838318604811965190653591623535255684644864) 1 (if (<=.f64 x -6500827403732659/1125899906842624) (/.f64 (-.f64 x 1) y) (if (<=.f64 x -6365459005175573/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (*.f64 x (/.f64 x y)) (if (<=.f64 x 3373233626188507/18014398509481984) x (/.f64 (-.f64 x 1) y))))))
(if (<=.f64 x -2400000000000000009354715214206030077199077169700860442369374438149585253792101508001835737865526444938923709535103335424926677804267286058189747507357992094542972025368698104516025844584876509107689361290683248995611597328835033431099809906819072) (/.f64 x y) (if (<=.f64 x -700000000000000027225504285761871901915160745066414093340116674053839060025694277341559759255143909711285222183588493039472194279866062931578128570548882582481042103838318604811965190653591623535255684644864) 1 (if (<=.f64 x -6500827403732659/1125899906842624) (/.f64 (-.f64 x 1) y) (if (<=.f64 x 3373233626188507/18014398509481984) x (/.f64 (-.f64 x 1) y)))))
(if (<=.f64 x -2400000000000000009354715214206030077199077169700860442369374438149585253792101508001835737865526444938923709535103335424926677804267286058189747507357992094542972025368698104516025844584876509107689361290683248995611597328835033431099809906819072) (/.f64 x y) (if (<=.f64 x -700000000000000027225504285761871901915160745066414093340116674053839060025694277341559759255143909711285222183588493039472194279866062931578128570548882582481042103838318604811965190653591623535255684644864) 1 (if (<=.f64 x -6500827403732659/1125899906842624) (/.f64 x y) (if (<=.f64 x 654816375516739/9007199254740992) x (/.f64 x y)))))
(if (<=.f64 x -6500827403732659/1125899906842624) 1 (if (<=.f64 x 3294157481467947/2) x 1))
x
Outputs
(*.f64 (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1))
(*.f64 (/.f64 x (+.f64 x 1)) (+.f64 1 (/.f64 x y)))
(/.f64 x (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y))))
(if (<=.f64 x -6500827403732659/1125899906842624) (-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) (if (<=.f64 x 3373233626188507/18014398509481984) (+.f64 x (*.f64 x (-.f64 (/.f64 x y) x))) (+.f64 (/.f64 (-.f64 x 1) y) 1)))
(if (<=.f64 x -6500827403732659/1125899906842624) (-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) (if (<=.f64 x 3373233626188507/18014398509481984) (+.f64 x (*.f64 x (-.f64 (/.f64 x y) x))) (+.f64 1 (/.f64 (+.f64 x -1) y))))
(if (<=.f64 x -6500827403732659/1125899906842624) (+.f64 (/.f64 (-.f64 x 1) y) 1) (if (<=.f64 x 3373233626188507/18014398509481984) (+.f64 x (*.f64 x (-.f64 (/.f64 x y) x))) (+.f64 (/.f64 (-.f64 x 1) y) 1)))
(if (<=.f64 x -6500827403732659/1125899906842624) (+.f64 1 (/.f64 (+.f64 x -1) y)) (if (<=.f64 x 3373233626188507/18014398509481984) (+.f64 x (*.f64 x (-.f64 (/.f64 x y) x))) (+.f64 1 (/.f64 (+.f64 x -1) y))))
(if (<=.f64 x -9098109552617528320) (+.f64 (/.f64 x y) 1) (if (<=.f64 x -6365459005175573/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1)) (if (<=.f64 x 3373233626188507/18014398509481984) (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 (-.f64 x 1) y) 1))))
(if (<=.f64 x -9098109552617528320) (+.f64 1 (/.f64 x y)) (if (<=.f64 x -6365459005175573/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1)) (if (<=.f64 x 3373233626188507/18014398509481984) (/.f64 x (+.f64 x 1)) (+.f64 1 (/.f64 (+.f64 x -1) y)))))
(if (<=.f64 x -5593943186225925/2) (+.f64 (/.f64 (-.f64 x 1) y) 1) (if (<=.f64 x -6365459005175573/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (/.f64 x (/.f64 (*.f64 y (+.f64 1 x)) x)) (if (<=.f64 x 3373233626188507/18014398509481984) (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 (-.f64 x 1) y) 1))))
(if (<=.f64 x -5593943186225925/2) (+.f64 1 (/.f64 (+.f64 x -1) y)) (if (<=.f64 x -6365459005175573/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (/.f64 x (/.f64 (*.f64 (+.f64 x 1) y) x)) (if (<=.f64 x 3373233626188507/18014398509481984) (/.f64 x (+.f64 x 1)) (+.f64 1 (/.f64 (+.f64 x -1) y)))))
(if (<=.f64 x -4591425963167721/562949953421312) (+.f64 (/.f64 (-.f64 x 1) y) 1) (if (<=.f64 x 3373233626188507/18014398509481984) (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 (-.f64 x 1) y) 1)))
(if (<=.f64 x -4591425963167721/562949953421312) (+.f64 1 (/.f64 (+.f64 x -1) y)) (if (<=.f64 x 3373233626188507/18014398509481984) (/.f64 x (+.f64 x 1)) (+.f64 1 (/.f64 (+.f64 x -1) y))))
(if (<=.f64 x -4591425963167721/562949953421312) (+.f64 (/.f64 x y) 1) (if (<=.f64 x 654816375516739/9007199254740992) (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1)))
(if (<=.f64 x -4591425963167721/562949953421312) (+.f64 1 (/.f64 x y)) (if (<=.f64 x 654816375516739/9007199254740992) (/.f64 x (+.f64 x 1)) (+.f64 1 (/.f64 x y))))
(if (<=.f64 x -6500827403732659/1125899906842624) (+.f64 (/.f64 x y) 1) (if (<=.f64 x -6365459005175573/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (*.f64 x (/.f64 x y)) (if (<=.f64 x 654816375516739/9007199254740992) (*.f64 x (-.f64 1 x)) (+.f64 (/.f64 x y) 1))))
(if (<=.f64 x -6500827403732659/1125899906842624) (+.f64 1 (/.f64 x y)) (if (<=.f64 x -6365459005175573/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (*.f64 x (/.f64 x y)) (if (<=.f64 x 654816375516739/9007199254740992) (*.f64 x (-.f64 1 x)) (+.f64 1 (/.f64 x y)))))
(if (<=.f64 x -6500827403732659/1125899906842624) (+.f64 (/.f64 x y) 1) (if (<=.f64 x -6365459005175573/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (*.f64 x (/.f64 x y)) (if (<=.f64 x 654816375516739/9007199254740992) x (+.f64 (/.f64 x y) 1))))
(if (<=.f64 x -6500827403732659/1125899906842624) (+.f64 1 (/.f64 x y)) (if (<=.f64 x -6365459005175573/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (*.f64 x (/.f64 x y)) (if (<=.f64 x 654816375516739/9007199254740992) x (+.f64 1 (/.f64 x y)))))
(if (<=.f64 x -2400000000000000009354715214206030077199077169700860442369374438149585253792101508001835737865526444938923709535103335424926677804267286058189747507357992094542972025368698104516025844584876509107689361290683248995611597328835033431099809906819072) (/.f64 x y) (if (<=.f64 x -700000000000000027225504285761871901915160745066414093340116674053839060025694277341559759255143909711285222183588493039472194279866062931578128570548882582481042103838318604811965190653591623535255684644864) 1 (if (<=.f64 x -6500827403732659/1125899906842624) (/.f64 (-.f64 x 1) y) (if (<=.f64 x -6365459005175573/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (*.f64 x (/.f64 x y)) (if (<=.f64 x 3373233626188507/18014398509481984) x (/.f64 (-.f64 x 1) y))))))
(if (<=.f64 x -2400000000000000009354715214206030077199077169700860442369374438149585253792101508001835737865526444938923709535103335424926677804267286058189747507357992094542972025368698104516025844584876509107689361290683248995611597328835033431099809906819072) (/.f64 x y) (if (<=.f64 x -700000000000000027225504285761871901915160745066414093340116674053839060025694277341559759255143909711285222183588493039472194279866062931578128570548882582481042103838318604811965190653591623535255684644864) 1 (if (<=.f64 x -6500827403732659/1125899906842624) (/.f64 (+.f64 x -1) y) (if (<=.f64 x -6365459005175573/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (*.f64 x (/.f64 x y)) (if (<=.f64 x 3373233626188507/18014398509481984) x (/.f64 (+.f64 x -1) y))))))
(if (<=.f64 x -2400000000000000009354715214206030077199077169700860442369374438149585253792101508001835737865526444938923709535103335424926677804267286058189747507357992094542972025368698104516025844584876509107689361290683248995611597328835033431099809906819072) (/.f64 x y) (if (<=.f64 x -700000000000000027225504285761871901915160745066414093340116674053839060025694277341559759255143909711285222183588493039472194279866062931578128570548882582481042103838318604811965190653591623535255684644864) 1 (if (<=.f64 x -6500827403732659/1125899906842624) (/.f64 (-.f64 x 1) y) (if (<=.f64 x 3373233626188507/18014398509481984) x (/.f64 (-.f64 x 1) y)))))
(if (<=.f64 x -2400000000000000009354715214206030077199077169700860442369374438149585253792101508001835737865526444938923709535103335424926677804267286058189747507357992094542972025368698104516025844584876509107689361290683248995611597328835033431099809906819072) (/.f64 x y) (if (<=.f64 x -700000000000000027225504285761871901915160745066414093340116674053839060025694277341559759255143909711285222183588493039472194279866062931578128570548882582481042103838318604811965190653591623535255684644864) 1 (if (<=.f64 x -6500827403732659/1125899906842624) (/.f64 (+.f64 x -1) y) (if (<=.f64 x 3373233626188507/18014398509481984) x (/.f64 (+.f64 x -1) y)))))
(if (<=.f64 x -2400000000000000009354715214206030077199077169700860442369374438149585253792101508001835737865526444938923709535103335424926677804267286058189747507357992094542972025368698104516025844584876509107689361290683248995611597328835033431099809906819072) (/.f64 x y) (if (<=.f64 x -700000000000000027225504285761871901915160745066414093340116674053839060025694277341559759255143909711285222183588493039472194279866062931578128570548882582481042103838318604811965190653591623535255684644864) 1 (if (<=.f64 x -6500827403732659/1125899906842624) (/.f64 x y) (if (<=.f64 x 654816375516739/9007199254740992) x (/.f64 x y)))))
(if (<=.f64 x -6500827403732659/1125899906842624) 1 (if (<=.f64 x 3294157481467947/2) x 1))
x
Compiler

Compiled 414 to 268 computations (35.3% saved)

soundness0.0ms (0%)

end270.0ms (3.6%)

Compiler

Compiled 386 to 225 computations (41.7% saved)

Profiling

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