Details

Time bar (total: 7.9s)

analyze163.0ms (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)

sample2.1s (26.6%)

Results
1.9s8256×body256valid
141.0ms587×body256infinite
Bogosity

preprocess120.0ms (1.5%)

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)

simplify76.0ms (1%)

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)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
8.8b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶8.8b
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
▶8.8b
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
Compiler

Compiled 25 to 16 computations (36% saved)

localize30.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 x y) 1)
✓0.1b
(*.f64 x (+.f64 (/.f64 x y) 1))
✓8.2b
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
Compiler

Compiled 34 to 17 computations (50% saved)

series10.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite151.0ms (1.9%)

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
0933
120929
2324529
Stop Event
1×node limit
Counts
3 → 160
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
(*.f64 x (+.f64 (/.f64 x y) 1))
(+.f64 (/.f64 x y) 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 1 (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (/.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 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((#(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 (+.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 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (/.f64 x y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 x y) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 x y) 1) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (/.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (/.f64 x y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 x y) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 x y) 1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (/.f64 1 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (/.f64 x y)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 2) (cbrt.f64 (*.f64 x (/.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (/.f64 x y))) (sqrt.f64 (*.f64 x (/.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (sqrt.f64 x)) (sqrt.f64 x) x)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x y) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (/.f64 x y) -1)) (/.f64 1 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 x y) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) 1)) 2) (cbrt.f64 (+.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 x y) 1)) (sqrt.f64 (+.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (/.f64 1 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))) (+.f64 1 (pow.f64 (/.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 x y) -1) (+.f64 (pow.f64 (/.f64 x y) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 x y) 2) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (+.f64 (/.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (neg.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (-.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 x y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 x y) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 x y) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 x y) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))) (+.f64 1 (pow.f64 (/.f64 x y) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 x y) -1) (+.f64 (pow.f64 (/.f64 x y) 2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 x y) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 x y) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (/.f64 1 y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 x (cbrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 x y)) 1)))) (#(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)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 x (sqrt.f64 y)) 1)))) (#(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)) 1)))))

simplify85.0ms (1.1%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
057840
1153840
2446766
32032737
47592731
Stop Event
1×node limit
Counts
232 → 189
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)
1
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(/.f64 x y)
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(/.f64 x y)
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(/.f64 x y)
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
1
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
1
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x 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 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)))
1
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(/.f64 x y)
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(/.f64 x y)
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(/.f64 x y)
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
1
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
1
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 x (/.f64 x y) x)
✓8.2b
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
Compiler

Compiled 27 to 10 computations (63% saved)

series9.0ms (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
x
@0
(/.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))

rewrite103.0ms (1.3%)

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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simplify179.0ms (2.3%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
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)))

eval259.0ms (3.3%)

Compiler

Compiled 5555 to 2711 computations (51.2% saved)

prune104.0ms (1.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New31414328
Fresh000
Picked101
Done101
Total31614330
Error
0b
Counts
330 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
9.8b
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))) 3)
▶40.3b
(*.f64 x (/.f64 x (fma.f64 x y y)))
47.1b
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
37.6b
x
▶17.8b
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) x) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))) (+.f64 x 1))
▶44.0b
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
27.5b
(/.f64 x (+.f64 x 1))
16.4b
(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (+.f64 (/.f64 x y) 1) 3))) (+.f64 x 1))
45.9b
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 3)) (+.f64 x 1))
32.4b
(+.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))))
33.7b
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
▶42.8b
(/.f64 x y)
8.8b
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
▶0.2b
(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))))
Compiler

Compiled 349 to 234 computations (33% saved)

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 x y) 1)
✓0.1b
(/.f64 1 (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
✓0.1b
(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))
✓0.2b
(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))))
Compiler

Compiled 49 to 28 computations (42.9% saved)

series17.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

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

rewrite108.0ms (1.4%)

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

Useful iterations: 1 (0.0ms)

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

simplify84.0ms (1.1%)

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

Useful iterations: 2 (0.0ms)

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

localize3.0ms (0%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 x (/.f64 x y))
✓8.3b
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
Compiler

Compiled 25 to 10 computations (60% saved)

series8.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite68.0ms (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
0820
117720
2262320
Stop Event
1×node limit
Counts
2 → 99
Calls
Call 1
Inputs
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
(*.f64 x (/.f64 x y))
Outputs
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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)))))))
((#(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 (E.f64) (log.f64 (*.f64 x (/.f64 x y))))))) (#(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 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) 1/3)))) (#(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 (/.f64 y (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (/.f64 x y)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (/.f64 x y))))) (sqrt.f64 (log.f64 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (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 (pow.f64 (/.f64 x (sqrt.f64 y)) 6)) 1/3))))) (#(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 (*.f64 (log.f64 (*.f64 x (/.f64 x y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 2 (log.f64 x)) (*.f64 (log.f64 y) 1)))))))

simplify76.0ms (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
038538
1101534
2237510
3727497
43734489
57021489
Stop Event
1×node limit
Counts
147 → 116
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)))
(/.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
(/.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))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 x (/.f64 x (fma.f64 x y y)))
✓9.7b
(/.f64 x (fma.f64 x y y))
Compiler

Compiled 22 to 5 computations (77.3% saved)

series9.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite60.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
691×pow1_binary64
638×add-log-exp_binary64
638×log1p-expm1-u_binary64
638×expm1-log1p-u_binary64
623×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0619
112619
2169219
Stop Event
1×node limit
Counts
2 → 53
Calls
Call 1
Inputs
(/.f64 x (fma.f64 x y y))
(*.f64 x (/.f64 x (fma.f64 x y y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (fma.f64 x y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 x y y))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x y y))) 2) (cbrt.f64 (/.f64 x (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (fma.f64 x y y))) (sqrt.f64 (/.f64 x (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x y y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x y y)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x y y)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x y y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x y y))) (/.f64 x (sqrt.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x y y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 x y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 x y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x y y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x y y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 x y y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 x (fma.f64 x y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (fma.f64 x y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x y y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (fma.f64 x y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x x)) (neg.f64 (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) x) (neg.f64 (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (neg.f64 (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) 1) (fma.f64 x y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x y y)) 2)) (cbrt.f64 (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x y y))) (sqrt.f64 (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x (fma.f64 x y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 x y y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (fma.f64 x y y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 x y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 x (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 x y y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (fma.f64 x y y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x (fma.f64 x y y)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 x (fma.f64 x y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 x (fma.f64 x y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 x (fma.f64 x y y)))))))))

simplify69.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
703×times-frac_binary64
511×associate-/l*_binary64
456×fma-def_binary64
413×div-sub_binary64
373×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059725
1173714
2460666
31417644
47747644
Stop Event
1×node limit
Counts
101 → 87
Calls
Call 1
Inputs
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 (pow.f64 x 3) y) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))))
(+.f64 (/.f64 (pow.f64 x 3) y) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) y)) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y x)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 (*.f64 y x)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 1 (*.f64 y (pow.f64 x 3)))))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y x)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 (*.f64 y x)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 1 (*.f64 y (pow.f64 x 3)))))
(/.f64 x (*.f64 y (+.f64 1 x)))
(/.f64 x (*.f64 y (+.f64 1 x)))
(/.f64 x (*.f64 y (+.f64 1 x)))
(/.f64 x (*.f64 y (+.f64 1 x)))
(/.f64 x (*.f64 y (+.f64 1 x)))
(/.f64 x (*.f64 y (+.f64 1 x)))
(/.f64 x (*.f64 y (+.f64 1 x)))
(/.f64 x (*.f64 y (+.f64 1 x)))
(*.f64 -1 (/.f64 x (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(*.f64 -1 (/.f64 x (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(*.f64 -1 (/.f64 x (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(*.f64 -1 (/.f64 x (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(/.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 -1 (/.f64 (pow.f64 x 2) (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
Outputs
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 x y) (neg.f64 (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 x y) (/.f64 x (/.f64 y x)))
(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) x))
(*.f64 (+.f64 (neg.f64 x) 1) (/.f64 x y))
(+.f64 (/.f64 (pow.f64 x 3) y) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))))
(+.f64 (+.f64 (/.f64 x y) (neg.f64 (/.f64 (*.f64 x x) y))) (/.f64 (pow.f64 x 3) y))
(+.f64 (-.f64 (/.f64 x y) (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 (pow.f64 x 3) y) (*.f64 (/.f64 x y) x)))
(+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (-.f64 (*.f64 x x) x)))
(+.f64 (/.f64 (pow.f64 x 3) y) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) y)) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))))
(+.f64 (/.f64 (pow.f64 x 3) y) (+.f64 (/.f64 x y) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 4) y) (/.f64 (*.f64 x x) y)))))
(+.f64 (/.f64 (pow.f64 x 3) y) (-.f64 (-.f64 (/.f64 x y) (/.f64 (pow.f64 x 4) y)) (/.f64 x (/.f64 y x))))
(-.f64 (-.f64 (/.f64 x y) (/.f64 (pow.f64 x 4) y)) (-.f64 (*.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 3) y)))
(-.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) (*.f64 (/.f64 (pow.f64 x 3) y) (+.f64 -1 x))))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y x)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 x y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) x))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 x y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 x) y))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 (*.f64 y x)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (*.f64 x x)))) (/.f64 1 (*.f64 x y)))
(+.f64 (/.f64 (/.f64 1 y) (*.f64 x x)) (+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) x)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 (/.f64 1 x) (*.f64 x y)) (/.f64 -1 (*.f64 x y))))
(+.f64 (+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 x) y)) (/.f64 (/.f64 1 y) (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 1 (*.f64 y (pow.f64 x 3)))))
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 (*.f64 y (pow.f64 x 3))))))
(-.f64 (+.f64 (/.f64 (/.f64 1 y) (*.f64 x x)) (+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) x))) (/.f64 1 (*.f64 y (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 1 x) (*.f64 x y)) (+.f64 (/.f64 1 y) (+.f64 (/.f64 -1 (*.f64 x y)) (/.f64 -1 (*.f64 y (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 x) y)) (+.f64 (/.f64 (/.f64 1 y) (*.f64 x x)) (/.f64 -1 (*.f64 y (pow.f64 x 3)))))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y x)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 x y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) x))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 x y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 x) y))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 (*.f64 y x)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (*.f64 x x)))) (/.f64 1 (*.f64 x y)))
(+.f64 (/.f64 (/.f64 1 y) (*.f64 x x)) (+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) x)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 (/.f64 1 x) (*.f64 x y)) (/.f64 -1 (*.f64 x y))))
(+.f64 (+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 x) y)) (/.f64 (/.f64 1 y) (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 1 (*.f64 y (pow.f64 x 3)))))
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 (*.f64 y (pow.f64 x 3))))))
(-.f64 (+.f64 (/.f64 (/.f64 1 y) (*.f64 x x)) (+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) x))) (/.f64 1 (*.f64 y (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 1 x) (*.f64 x y)) (+.f64 (/.f64 1 y) (+.f64 (/.f64 -1 (*.f64 x y)) (/.f64 -1 (*.f64 y (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 x) y)) (+.f64 (/.f64 (/.f64 1 y) (*.f64 x x)) (/.f64 -1 (*.f64 y (pow.f64 x 3)))))
(/.f64 x (*.f64 y (+.f64 1 x)))
(/.f64 x (*.f64 y (+.f64 x 1)))
(/.f64 (/.f64 x y) (+.f64 x 1))
(/.f64 x (fma.f64 x y y))
(/.f64 x (*.f64 y (+.f64 1 x)))
(/.f64 x (*.f64 y (+.f64 x 1)))
(/.f64 (/.f64 x y) (+.f64 x 1))
(/.f64 x (fma.f64 x y y))
(/.f64 x (*.f64 y (+.f64 1 x)))
(/.f64 x (*.f64 y (+.f64 x 1)))
(/.f64 (/.f64 x y) (+.f64 x 1))
(/.f64 x (fma.f64 x y y))
(/.f64 x (*.f64 y (+.f64 1 x)))
(/.f64 x (*.f64 y (+.f64 x 1)))
(/.f64 (/.f64 x y) (+.f64 x 1))
(/.f64 x (fma.f64 x y y))
(/.f64 x (*.f64 y (+.f64 1 x)))
(/.f64 x (*.f64 y (+.f64 x 1)))
(/.f64 (/.f64 x y) (+.f64 x 1))
(/.f64 x (fma.f64 x y y))
(/.f64 x (*.f64 y (+.f64 1 x)))
(/.f64 x (*.f64 y (+.f64 x 1)))
(/.f64 (/.f64 x y) (+.f64 x 1))
(/.f64 x (fma.f64 x y y))
(/.f64 x (*.f64 y (+.f64 1 x)))
(/.f64 x (*.f64 y (+.f64 x 1)))
(/.f64 (/.f64 x y) (+.f64 x 1))
(/.f64 x (fma.f64 x y y))
(/.f64 x (*.f64 y (+.f64 1 x)))
(/.f64 x (*.f64 y (+.f64 x 1)))
(/.f64 (/.f64 x y) (+.f64 x 1))
(/.f64 x (fma.f64 x y y))
(*.f64 -1 (/.f64 x (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(/.f64 x (*.f64 y (+.f64 x 1)))
(/.f64 (/.f64 x y) (+.f64 x 1))
(/.f64 x (fma.f64 x y y))
(*.f64 -1 (/.f64 x (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(/.f64 x (*.f64 y (+.f64 x 1)))
(/.f64 (/.f64 x y) (+.f64 x 1))
(/.f64 x (fma.f64 x y y))
(*.f64 -1 (/.f64 x (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(/.f64 x (*.f64 y (+.f64 x 1)))
(/.f64 (/.f64 x y) (+.f64 x 1))
(/.f64 x (fma.f64 x y y))
(*.f64 -1 (/.f64 x (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(/.f64 x (*.f64 y (+.f64 x 1)))
(/.f64 (/.f64 x y) (+.f64 x 1))
(/.f64 x (fma.f64 x y 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 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 x (/.f64 y x)) (/.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 (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) (fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y)))
(+.f64 (/.f64 x (/.f64 y x)) (-.f64 (/.f64 (pow.f64 x 4) y) (/.f64 (pow.f64 x 3) y)))
(+.f64 (/.f64 (pow.f64 x 4) y) (-.f64 (*.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 3) y)))
(fma.f64 x (/.f64 x y) (*.f64 (/.f64 (pow.f64 x 3) y) (+.f64 -1 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 x (/.f64 y x)) (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 3) y)))
(+.f64 (/.f64 (pow.f64 x 4) y) (-.f64 (*.f64 (/.f64 x y) x) (+.f64 (/.f64 (pow.f64 x 3) y) (/.f64 (pow.f64 x 5) y))))
(-.f64 (fma.f64 x (/.f64 x y) (*.f64 (/.f64 (pow.f64 x 3) y) (+.f64 -1 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 1 y) x) (+.f64 (/.f64 x y) (/.f64 -1 y)))
(+.f64 (+.f64 (/.f64 x y) (/.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 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 1 y) x)) (-.f64 (/.f64 -1 y) (/.f64 (/.f64 1 y) (*.f64 x x))))
(+.f64 (/.f64 x y) (+.f64 (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 (/.f64 -1 (*.f64 x y)) x)) (/.f64 -1 y)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 -1 y)) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 (/.f64 (/.f64 -1 x) y) x)))
(/.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 1 y) x) (+.f64 (/.f64 x y) (/.f64 -1 y)))
(+.f64 (+.f64 (/.f64 x y) (/.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 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 1 y) x)) (-.f64 (/.f64 -1 y) (/.f64 (/.f64 1 y) (*.f64 x x))))
(+.f64 (/.f64 x y) (+.f64 (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 (/.f64 -1 (*.f64 x y)) x)) (/.f64 -1 y)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 -1 y)) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 (/.f64 (/.f64 -1 x) y) x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(*.f64 x (/.f64 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 y) (/.f64 x (+.f64 x 1)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(*.f64 x (/.f64 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 y) (/.f64 x (+.f64 x 1)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(*.f64 x (/.f64 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 y) (/.f64 x (+.f64 x 1)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(*.f64 x (/.f64 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 y) (/.f64 x (+.f64 x 1)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(*.f64 x (/.f64 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 y) (/.f64 x (+.f64 x 1)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(*.f64 x (/.f64 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 y) (/.f64 x (+.f64 x 1)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(*.f64 x (/.f64 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 y) (/.f64 x (+.f64 x 1)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(*.f64 x (/.f64 x (fma.f64 x y y)))

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(pow.f64 (/.f64 x y) 3)
✓0.5b
(*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) x)
✓8.2b
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) x) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))) (+.f64 x 1))
✓14.2b
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) x) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))))
Compiler

Compiled 101 to 53 computations (47.5% saved)

series25.0ms (0.3%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) x) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))))
3.0ms
x
@-inf
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) x) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))))
1.0ms
x
@0
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) x) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))))
1.0ms
x
@-inf
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) x) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))) (+.f64 x 1))
1.0ms
x
@inf
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) x) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))) (+.f64 x 1))

rewrite119.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
740×fma-def_binary64
377×fma-neg_binary64
318×expm1-udef_binary64
318×log1p-udef_binary64
192×add-sqr-sqrt_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01688
138488
2573182
Stop Event
1×node limit
Counts
4 → 171
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) x) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) x) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))) (+.f64 x 1))
(*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) x)
(pow.f64 (/.f64 x y) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (pow.f64 (/.f64 x y) 3) x) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x (pow.f64 (/.f64 x y) 3) x) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (*.f64 x (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (pow.f64 (/.f64 x y) 3) x) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify103.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
712×fma-def_binary64
555×associate-*l*_binary64
542×associate-*r*_binary64
446×times-frac_binary64
356×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01281777
14261683
218551385
Stop Event
1×node limit
Counts
267 → 211
Calls
Call 1
Inputs
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 (*.f64 -1 (+.f64 y (*.f64 -1 y))) (+.f64 x (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -1 (+.f64 y (*.f64 -1 y))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 y (*.f64 -1 y))) x)) (+.f64 x (/.f64 (pow.f64 x 2) y))))
(/.f64 (pow.f64 x 2) y)
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 y (+.f64 (*.f64 -1 y) (+.f64 x (/.f64 (pow.f64 x 2) y))))
(+.f64 (/.f64 (*.f64 y (+.f64 y (*.f64 -1 y))) x) (+.f64 y (+.f64 (*.f64 -1 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 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) (pow.f64 y 2))) (+.f64 (/.f64 (pow.f64 x 2) y) x))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) x) (pow.f64 y 3))) (+.f64 (/.f64 (pow.f64 x 2) y) x)))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) (pow.f64 y 2))) (+.f64 (/.f64 (pow.f64 x 2) y) x))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) x) (pow.f64 y 3))) (+.f64 (/.f64 (pow.f64 x 2) y) x)))
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(+.f64 (*.f64 (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 (-.f64 (/.f64 1 y) 1) (-.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 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 (-.f64 (/.f64 1 y) 1) (-.f64 1 (/.f64 1 y)))))) (*.f64 (-.f64 (/.f64 1 y) 1) (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)))))) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 (-.f64 (/.f64 1 y) 1) (-.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 x y) (*.f64 -1 (*.f64 y (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) 2))) (*.f64 y (-.f64 1 (/.f64 1 y)))) x)) (+.f64 (/.f64 x y) (*.f64 -1 (*.f64 y (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) 2))) (*.f64 y (-.f64 1 (/.f64 1 y)))) x)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) (*.f64 (-.f64 1 (/.f64 1 y)) (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)))) (pow.f64 x 2))) (+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) 2))) (*.f64 y (-.f64 1 (/.f64 1 y)))) (*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)))) (pow.f64 x 2))))))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (*.f64 y (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) 2))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) y))) x))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (*.f64 (pow.f64 y 3) (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y))))) (+.f64 (*.f64 (pow.f64 y 2) (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) 2))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) y))))) (*.f64 -1 y)))) (pow.f64 x 2))) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) 2))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) y))) 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 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (/.f64 (pow.f64 x 3) (+.f64 1 x))) (pow.f64 y 2))) (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (/.f64 (pow.f64 x 3) (+.f64 1 x))) (pow.f64 y 2))) (+.f64 (/.f64 x (+.f64 1 x)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (/.f64 (pow.f64 x 3) (+.f64 1 x))) x) (pow.f64 y 3))))))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (/.f64 (pow.f64 x 3) (+.f64 1 x))) (pow.f64 y 2))) (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (/.f64 (pow.f64 x 3) (+.f64 1 x))) (pow.f64 y 2))) (+.f64 (/.f64 x (+.f64 1 x)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (/.f64 (pow.f64 x 3) (+.f64 1 x))) x) (pow.f64 y 3))))))
x
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(/.f64 (pow.f64 x 4) (pow.f64 y 3))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(/.f64 (pow.f64 x 4) (pow.f64 y 3))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(/.f64 (pow.f64 x 4) (pow.f64 y 3))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
x
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
x
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
Outputs
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 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 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 (*.f64 -1 (+.f64 y (*.f64 -1 y))) (+.f64 x (/.f64 (pow.f64 x 2) y)))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 (*.f64 -1 (+.f64 y (*.f64 -1 y))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 y (*.f64 -1 y))) x)) (+.f64 x (/.f64 (pow.f64 x 2) y))))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 y (+.f64 (*.f64 -1 y) (+.f64 x (/.f64 (pow.f64 x 2) y))))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 (/.f64 (*.f64 y (+.f64 y (*.f64 -1 y))) x) (+.f64 y (+.f64 (*.f64 -1 y) (+.f64 x (/.f64 (pow.f64 x 2) y)))))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(+.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 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) (pow.f64 y 2))) (+.f64 (/.f64 (pow.f64 x 2) y) x))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) x) (pow.f64 y 3))) (+.f64 (/.f64 (pow.f64 x 2) y) x)))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) (pow.f64 y 2))) (+.f64 (/.f64 (pow.f64 x 2) y) x))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) x) (pow.f64 y 3))) (+.f64 (/.f64 (pow.f64 x 2) y) x)))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)
(fma.f64 (*.f64 x x) (+.f64 -1 (/.f64 1 y)) x)
(fma.f64 x (*.f64 x (+.f64 -1 (/.f64 1 y))) x)
(+.f64 (*.f64 (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 (-.f64 (/.f64 1 y) 1) (-.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) (+.f64 (/.f64 1 (*.f64 y y)) (*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 1 (/.f64 1 y))))) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 (pow.f64 x 3) (-.f64 (/.f64 1 y) (fma.f64 (+.f64 -1 (/.f64 1 y)) (+.f64 1 (/.f64 -1 y)) (/.f64 1 (*.f64 y y)))) (fma.f64 (*.f64 x x) (+.f64 -1 (/.f64 1 y)) x))
(fma.f64 (pow.f64 x 3) (+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 1 (/.f64 -1 y)))) (fma.f64 x (*.f64 x (+.f64 -1 (/.f64 1 y))) x))
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 (-.f64 (/.f64 1 y) 1) (-.f64 1 (/.f64 1 y)))))) (*.f64 (-.f64 (/.f64 1 y) 1) (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)))))) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 (-.f64 (/.f64 1 y) 1) (-.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 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y))) (fma.f64 (-.f64 1 (/.f64 1 y)) (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 1 (/.f64 1 y))))) (*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y))))) (pow.f64 x 4) (fma.f64 (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 1 (/.f64 1 y))))) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (-.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y))) (fma.f64 (+.f64 1 (/.f64 -1 y)) (-.f64 (/.f64 1 y) (fma.f64 (+.f64 -1 (/.f64 1 y)) (+.f64 1 (/.f64 -1 y)) (/.f64 1 (*.f64 y y)))) (*.f64 (+.f64 -1 (/.f64 1 y)) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y))))) (pow.f64 x 4) (fma.f64 (pow.f64 x 3) (-.f64 (/.f64 1 y) (fma.f64 (+.f64 -1 (/.f64 1 y)) (+.f64 1 (/.f64 -1 y)) (/.f64 1 (*.f64 y y)))) (fma.f64 (*.f64 x x) (+.f64 -1 (/.f64 1 y)) x)))
(fma.f64 (+.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (fma.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 1 (/.f64 -1 y)))) (/.f64 (/.f64 1 y) y))) (*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 1 (/.f64 -1 y)) y))) (pow.f64 x 4) (fma.f64 (pow.f64 x 3) (+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 1 (/.f64 -1 y)))) (fma.f64 x (*.f64 x (+.f64 -1 (/.f64 1 y))) x)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (*.f64 y (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)))))
(+.f64 (/.f64 x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y))))
(-.f64 (/.f64 x y) (*.f64 y (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y))))
(+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) 2))) (*.f64 y (-.f64 1 (/.f64 1 y)))) x)) (+.f64 (/.f64 x y) (*.f64 -1 (*.f64 y (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y))))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) 2)) (*.f64 y (-.f64 1 (/.f64 1 y)))) x) (+.f64 (/.f64 x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))))
(fma.f64 -1 (fma.f64 y (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)) (/.f64 (-.f64 (+.f64 y (*.f64 (/.f64 -1 y) y)) (*.f64 (pow.f64 y 3) (pow.f64 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)) 2))) x)) (/.f64 x y))
(-.f64 (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y)) (/.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 -1 y)) (-.f64 1 y)) (+.f64 y -1)) x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) 2))) (*.f64 y (-.f64 1 (/.f64 1 y)))) x)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) (*.f64 (-.f64 1 (/.f64 1 y)) (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)))) (pow.f64 x 2))) (+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) 2))) (*.f64 y (-.f64 1 (/.f64 1 y)))) (*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)))) (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) 2)) (*.f64 y (-.f64 1 (/.f64 1 y)))) x) (+.f64 (/.f64 x y) (fma.f64 -1 (*.f64 y (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y))) (/.f64 (*.f64 y y) (*.f64 x x))))) (fma.f64 -1 (/.f64 (*.f64 (*.f64 (pow.f64 y 3) (-.f64 1 (/.f64 1 y))) (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y))) (*.f64 x x)) (+.f64 (/.f64 y (*.f64 x x)) (neg.f64 (/.f64 (fma.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) 2)) (*.f64 y (-.f64 1 (/.f64 1 y)))) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))))))))
(-.f64 (+.f64 (fma.f64 -1 (fma.f64 y (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)) (/.f64 (-.f64 (+.f64 y (*.f64 (/.f64 -1 y) y)) (*.f64 (pow.f64 y 3) (pow.f64 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)) 2))) x)) (/.f64 x y)) (*.f64 (/.f64 y x) (/.f64 y x))) (-.f64 (-.f64 (/.f64 y (*.f64 x x)) (*.f64 (/.f64 (-.f64 (+.f64 y (*.f64 (/.f64 -1 y) y)) (*.f64 (pow.f64 y 3) (pow.f64 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)) 2))) x) (/.f64 (*.f64 (*.f64 y y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y))) x))) (*.f64 (/.f64 (*.f64 (pow.f64 y 3) (+.f64 1 (/.f64 -1 y))) x) (/.f64 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)) x))))
(+.f64 (/.f64 (+.f64 (+.f64 (+.f64 -1 (/.f64 1 y)) (+.f64 y -1)) (-.f64 1 y)) x) (+.f64 (/.f64 x y) (+.f64 (-.f64 (fma.f64 (/.f64 y x) (/.f64 y x) (+.f64 1 (/.f64 -1 y))) (+.f64 (/.f64 (*.f64 (-.f64 1 y) (-.f64 1 y)) (*.f64 x x)) (/.f64 y (*.f64 x x)))) (*.f64 (/.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 -1 y)) (-.f64 1 y)) (+.f64 y -1)) x) (/.f64 (-.f64 1 y) x)))))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (*.f64 y (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)))))
(+.f64 (/.f64 x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y))))
(-.f64 (/.f64 x y) (*.f64 y (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y))))
(+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y))
(+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) 2))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) y))) x))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) 2)) (*.f64 y (-.f64 1 (/.f64 1 y)))) x) (+.f64 (/.f64 x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))))
(fma.f64 -1 (fma.f64 y (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)) (/.f64 (-.f64 (+.f64 y (*.f64 (/.f64 -1 y) y)) (*.f64 (pow.f64 y 3) (pow.f64 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)) 2))) x)) (/.f64 x y))
(-.f64 (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y)) (/.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 -1 y)) (-.f64 1 y)) (+.f64 y -1)) x))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (*.f64 (pow.f64 y 3) (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y))))) (+.f64 (*.f64 (pow.f64 y 2) (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) 2))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) y))))) (*.f64 -1 y)))) (pow.f64 x 2))) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) 2))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) y))) x)))))
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 (*.f64 y y)) (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 (pow.f64 y 3) (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))) (fma.f64 (*.f64 y y) (*.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) (*.f64 -1 (+.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) 2)) (*.f64 y (+.f64 (/.f64 1 y) -1))))) (neg.f64 y)))) (*.f64 x x)) (+.f64 (/.f64 x y) (*.f64 -1 (+.f64 (*.f64 y (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y))) (/.f64 (*.f64 -1 (+.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) 2)) (*.f64 y (+.f64 (/.f64 1 y) -1)))) x)))))
(-.f64 (fma.f64 -1 (fma.f64 y (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)) (/.f64 (-.f64 (+.f64 y (*.f64 (/.f64 -1 y) y)) (*.f64 (pow.f64 y 3) (pow.f64 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)) 2))) x)) (/.f64 x y)) (/.f64 (-.f64 (*.f64 y (neg.f64 y)) (fma.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 (pow.f64 y 3) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y))) (fma.f64 (*.f64 (*.f64 y y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y))) (-.f64 (+.f64 y (*.f64 (/.f64 -1 y) y)) (*.f64 (pow.f64 y 3) (pow.f64 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)) 2))) (neg.f64 y)))) (*.f64 x x)))
(+.f64 (/.f64 x y) (+.f64 (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 (+.f64 (+.f64 (+.f64 -1 (/.f64 1 y)) (+.f64 y -1)) (-.f64 1 y)) x)) (/.f64 (fma.f64 y y (-.f64 (fma.f64 (-.f64 1 y) (+.f64 (*.f64 (+.f64 1 (/.f64 -1 y)) (-.f64 1 y)) (+.f64 y -1)) (*.f64 (-.f64 1 y) (+.f64 y -1))) y)) (*.f64 x x))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1))
(*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))
(/.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 (/.f64 (*.f64 x x) y) (+.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))) (/.f64 x (+.f64 x 1)))
(*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))) (/.f64 x (+.f64 x 1)))
(*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))) (/.f64 x (+.f64 x 1)))
(*.f64 (+.f64 (/.f64 x y) 1) (/.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 (/.f64 (*.f64 x x) y) (+.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))) (/.f64 x (+.f64 x 1)))
(*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (/.f64 (pow.f64 x 3) (+.f64 1 x))) (pow.f64 y 2))) (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1)) (fma.f64 -1 (/.f64 (*.f64 0 (/.f64 (pow.f64 x 3) (+.f64 x 1))) (*.f64 y y)) (/.f64 x (+.f64 x 1))))
(+.f64 (/.f64 0 (*.f64 y y)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))) (/.f64 x (+.f64 x 1))))
(+.f64 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x (+.f64 x 1))) 0)
(+.f64 (/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (/.f64 (pow.f64 x 3) (+.f64 1 x))) (pow.f64 y 2))) (+.f64 (/.f64 x (+.f64 1 x)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (/.f64 (pow.f64 x 3) (+.f64 1 x))) x) (pow.f64 y 3))))))
(+.f64 (/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1)) (fma.f64 -1 (/.f64 (*.f64 0 (/.f64 (pow.f64 x 3) (+.f64 x 1))) (*.f64 y y)) (/.f64 x (+.f64 x 1))))
(+.f64 (/.f64 0 (*.f64 y y)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))) (/.f64 x (+.f64 x 1))))
(+.f64 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x (+.f64 x 1))) 0)
(/.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 (/.f64 (*.f64 x x) y) (+.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))) (/.f64 x (+.f64 x 1)))
(*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (/.f64 (pow.f64 x 3) (+.f64 1 x))) (pow.f64 y 2))) (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1)) (fma.f64 -1 (/.f64 (*.f64 0 (/.f64 (pow.f64 x 3) (+.f64 x 1))) (*.f64 y y)) (/.f64 x (+.f64 x 1))))
(+.f64 (/.f64 0 (*.f64 y y)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))) (/.f64 x (+.f64 x 1))))
(+.f64 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x (+.f64 x 1))) 0)
(+.f64 (/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (/.f64 (pow.f64 x 3) (+.f64 1 x))) (pow.f64 y 2))) (+.f64 (/.f64 x (+.f64 1 x)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (/.f64 (pow.f64 x 3) (+.f64 1 x))) x) (pow.f64 y 3))))))
(+.f64 (/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1)) (fma.f64 -1 (/.f64 (*.f64 0 (/.f64 (pow.f64 x 3) (+.f64 x 1))) (*.f64 y y)) (/.f64 x (+.f64 x 1))))
(+.f64 (/.f64 0 (*.f64 y y)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))) (/.f64 x (+.f64 x 1))))
(+.f64 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x (+.f64 x 1))) 0)
x
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 x (/.f64 (pow.f64 x 4) (pow.f64 y 3)))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 x (/.f64 (pow.f64 x 4) (pow.f64 y 3)))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 x (/.f64 (pow.f64 x 4) (pow.f64 y 3)))
(/.f64 (pow.f64 x 4) (pow.f64 y 3))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 x (/.f64 (pow.f64 x 4) (pow.f64 y 3)))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 x (/.f64 (pow.f64 x 4) (pow.f64 y 3)))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 x (/.f64 (pow.f64 x 4) (pow.f64 y 3)))
(/.f64 (pow.f64 x 4) (pow.f64 y 3))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 x (/.f64 (pow.f64 x 4) (pow.f64 y 3)))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 x (/.f64 (pow.f64 x 4) (pow.f64 y 3)))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 x (/.f64 (pow.f64 x 4) (pow.f64 y 3)))
(/.f64 (pow.f64 x 4) (pow.f64 y 3))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 x (/.f64 (pow.f64 x 4) (pow.f64 y 3)))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 x (/.f64 (pow.f64 x 4) (pow.f64 y 3)))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 x (/.f64 (pow.f64 x 4) (pow.f64 y 3)))
x
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 x (/.f64 (pow.f64 x 4) (pow.f64 y 3)))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 x (/.f64 (pow.f64 x 4) (pow.f64 y 3)))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 x (/.f64 (pow.f64 x 4) (pow.f64 y 3)))
x
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 x (/.f64 (pow.f64 x 4) (pow.f64 y 3)))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 x (/.f64 (pow.f64 x 4) (pow.f64 y 3)))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) x)
(+.f64 x (/.f64 (pow.f64 x 4) (pow.f64 y 3)))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))

eval335.0ms (4.2%)

Compiler

Compiled 14579 to 8450 computations (42% saved)

prune113.0ms (1.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New67310683
Fresh549
Picked101
Done314
Total68215697
Error
0b
Counts
697 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
▶27.5b
(*.f64 x (/.f64 1 (+.f64 x 1)))
▶49.1b
(/.f64 (/.f64 1 (/.f64 y (*.f64 x x))) (+.f64 x 1))
54.3b
(*.f64 x (/.f64 x y))
44.1b
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1))
▶42.9b
(*.f64 x (/.f64 1 y))
40.3b
(*.f64 x (/.f64 x (*.f64 y (+.f64 1 x))))
▶8.8b
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
43.4b
(-.f64 (/.f64 x y) (/.f64 1 y))
▶33.7b
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
37.6b
x
49.1b
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1))
✓42.8b
(/.f64 x y)
16.4b
(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (+.f64 (/.f64 x y) 1) 3))) (+.f64 x 1))
32.4b
(+.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))))
27.5b
(/.f64 x (+.f64 x 1))
Compiler

Compiled 292 to 199 computations (31.8% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 x (/.f64 x y)) x)
0.2b
(*.f64 x (/.f64 x y))
✓8.2b
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
Compiler

Compiled 34 to 11 computations (67.6% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite97.0ms (1.2%)

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
0922
120522
2306922
Stop Event
1×node limit
Counts
2 → 114
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
(+.f64 (*.f64 x (/.f64 x y)) x)
Outputs
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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) 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((#(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 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4) (*.f64 x (-.f64 (/.f64 x y) 1))) (/.f64 (*.f64 x x) (*.f64 x (-.f64 (/.f64 x y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (/.f64 x y) 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 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (*.f64 x (/.f64 x y))) (pow.f64 (/.f64 x (sqrt.f64 y)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4) (*.f64 x x)) (/.f64 1 (*.f64 x (-.f64 (/.f64 x y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (-.f64 x (*.f64 x (/.f64 x y))) (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (-.f64 (/.f64 x y) 1)) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 x (/.f64 x y))) (pow.f64 (/.f64 x (sqrt.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) (pow.f64 x 3)) (fma.f64 x x (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4) (/.f64 (pow.f64 x 3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4) (*.f64 x x)) (*.f64 x (-.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) (pow.f64 x 3))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (/.f64 x y))) (pow.f64 (/.f64 x (sqrt.f64 y)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4) (*.f64 x x))) (neg.f64 (*.f64 x (-.f64 (/.f64 x y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) (-.f64 x (*.f64 x (/.f64 x y))))))) (#(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 pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 x (/.f64 x y))) (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (-.f64 (/.f64 x y) 1)) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4) (*.f64 x x))) -1)))) (#(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 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 x) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x y)))) (exp.f64 x)))))) (#(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 log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x y)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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 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(sqrt.f64 x) 1) (*.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 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x 1) (/.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) 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) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (sqrt.f64 x)) (sqrt.f64 x) x)))))

simplify96.0ms (1.2%)

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
162 → 141
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)))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 x (/.f64 1 y))
Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite64.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
537×pow1_binary64
514×add-sqr-sqrt_binary64
495×add-log-exp_binary64
495×log1p-expm1-u_binary64
495×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064
11204
214244
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 x (/.f64 1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x y)))))))

simplify14.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0496
Stop Event
1×saturated
Counts
45 → 21
Calls
Call 1
Inputs
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
Outputs
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 19 to 14 computations (26.3% saved)

series5.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite68.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

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

simplify50.0ms (0.6%)

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

Useful iterations: 4 (0.0ms)

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 25 to 13 computations (48% saved)

series4.0ms (0%)

Counts
2 → 15
Calls

12 calls:

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

rewrite85.0ms (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
0820
118417
2283817
Stop Event
1×node limit
Counts
2 → 211
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 x 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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simplify53.0ms (0.7%)

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
01581
13069
25769
38269
414769
540769
686169
7103369
8108769
9109369
Stop Event
1×saturated
Counts
226 → 219
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)))
1
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
1
1
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))
1
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
1
1

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓1.0b
(/.f64 1 (/.f64 y (*.f64 x x)))
✓8.3b
(/.f64 (/.f64 1 (/.f64 y (*.f64 x x))) (+.f64 x 1))
✓10.1b
(/.f64 y (*.f64 x x))
Compiler

Compiled 34 to 14 computations (58.8% saved)

series6.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite78.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
529×log-prod_binary64
349×pow-prod-down_binary64
259×pow2_binary64
209×log-div_binary64
180×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0933
120627
2307627
Stop Event
1×node limit
Counts
3 → 155
Calls
Call 1
Inputs
(/.f64 y (*.f64 x x))
(/.f64 (/.f64 1 (/.f64 y (*.f64 x x))) (+.f64 x 1))
(/.f64 1 (/.f64 y (*.f64 x x)))
Outputs
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egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (*.f64 (sqrt.f64 (/.f64 1 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 x) x) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (*.f64 x x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (*.f64 x x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 x) x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 y)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (pow.f64 x -2))) -2) (cbrt.f64 (/.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (pow.f64 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 y) x) 4) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 y) x) 6) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 y) x) -4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (pow.f64 x -2)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (pow.f64 x -2))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 y) x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 y (neg.f64 (pow.f64 x -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 y) x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (pow.f64 x -2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 x -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (pow.f64 x -2)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (/.f64 y x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (sqrt.f64 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 x -2))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 x -2))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y x))) 1) 1))))))

simplify80.0ms (1%)

Algorithm
1×egg-herbie
Rules
299×div-sub_binary64
298×distribute-rgt-out_binary64
275×*-commutative_binary64
273×times-frac_binary64
272×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
039706
1102702
2238678
3727665
43737657
57247657
Stop Event
1×node limit
Counts
227 → 174
Calls
Call 1
Inputs
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.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)))
(/.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) 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
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/.f64 x (/.f64 (fma.f64 y x y) x))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/.f64 x (/.f64 (fma.f64 y x y) x))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/.f64 x (/.f64 (fma.f64 y x y) x))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/.f64 x (/.f64 (fma.f64 y x y) x))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/.f64 x (/.f64 (fma.f64 y x y) x))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/.f64 x (/.f64 (fma.f64 y x y) x))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/.f64 x (/.f64 (fma.f64 y x y) x))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/.f64 x (/.f64 (fma.f64 y x y) x))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/.f64 x (/.f64 (fma.f64 y x y) x))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/.f64 x (/.f64 (fma.f64 y x y) x))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/.f64 x (/.f64 (fma.f64 y x y) x))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/.f64 x (/.f64 (fma.f64 y x y) x))
(/.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 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 x (/.f64 y x)) (/.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 x (*.f64 (-.f64 1 x) (/.f64 x y)))
(+.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 x (/.f64 y x)) (-.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 (pow.f64 x 3) (*.f64 x (+.f64 x -1))))
(+.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 x (/.f64 y x)) (/.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))))
(-.f64 (fma.f64 x (/.f64 x y) (*.f64 (/.f64 (pow.f64 x 3) y) (+.f64 -1 x))) (/.f64 (pow.f64 x 5) y))
(-.f64 (*.f64 (/.f64 x y) (-.f64 (pow.f64 x 3) (*.f64 x (+.f64 x -1)))) (/.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 y x)) (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 1 (*.f64 y x)) (/.f64 1 y)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 -1 y)) (/.f64 1 (*.f64 y x)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 y x))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 -1 y)) (-.f64 (/.f64 1 (*.f64 y x)) (/.f64 1 (*.f64 y (*.f64 x x)))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 y (*.f64 x x))))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 -1 y) (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 1 (*.f64 y x)))))
(/.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 y x)) (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 1 (*.f64 y x)) (/.f64 1 y)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 -1 y)) (/.f64 1 (*.f64 y x)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 y x))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 -1 y)) (-.f64 (/.f64 1 (*.f64 y x)) (/.f64 1 (*.f64 y (*.f64 x x)))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 y (*.f64 x x))))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 -1 y) (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 1 (*.f64 y x)))))
(/.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))

eval241.0ms (3%)

Compiler

Compiled 9819 to 5671 computations (42.2% saved)

prune180.0ms (2.3%)

Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New6577664
Fresh549
Picked011
Done235
Total66415679
Error
0b
Counts
679 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
▶33.7b
(+.f64 (/.f64 (-.f64 x 1) y) 1)
43.4b
(/.f64 (-.f64 x 1) y)
✓27.5b
(*.f64 x (/.f64 1 (+.f64 x 1)))
✓49.1b
(/.f64 (/.f64 1 (/.f64 y (*.f64 x x))) (+.f64 x 1))
52.7b
1
▶54.3b
(*.f64 x (/.f64 x y))
▶44.1b
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1))
49.1b
(/.f64 (/.f64 1 (*.f64 (pow.f64 x -2) y)) (+.f64 x 1))
✓42.8b
(/.f64 x y)
▶27.5b
(/.f64 x (+.f64 x 1))
37.6b
x
50.9b
(-.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) 1)
49.1b
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1))
▶49.1b
(/.f64 (*.f64 (/.f64 1 y) (*.f64 x x)) (+.f64 x 1))
✓8.8b
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
Compiler

Compiled 224 to 158 computations (29.5% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 8 computations (33.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite71.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
599×pow1_binary64
561×log1p-expm1-u_binary64
561×expm1-log1p-u_binary64
560×add-log-exp_binary64
549×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11097
215157
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 x (+.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 x 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 x) 2) (*.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 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 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 (pow.f64 (cbrt.f64 x) 2) 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 (pow.f64 (cbrt.f64 x) 2) (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 (pow.f64 (cbrt.f64 x) 2) (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))) (fma.f64 x x (-.f64 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 neg.f64 (/.f64 x (+.f64 (neg.f64 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 cbrt.f64 (pow.f64 (/.f64 x (+.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)))))))

simplify81.0ms (1%)

Algorithm
1×egg-herbie
Rules
436×sub-neg_binary64
377×fma-def_binary64
276×distribute-neg-frac_binary64
238×unsub-neg_binary64
230×associate-/r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
025142
171138
2180134
3550131
42412130
56363130
Stop Event
1×node limit
Counts
44 → 46
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(*.f64 x (-.f64 1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(+.f64 x (*.f64 (*.f64 x x) (+.f64 -1 x)))
(*.f64 x (-.f64 (fma.f64 x x 1) x))
(fma.f64 (-.f64 1 x) x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (+.f64 x (pow.f64 x 3))))
(-.f64 (-.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)) (*.f64 x x))
(-.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(*.f64 (fma.f64 x x 1) (-.f64 x (*.f64 x x)))
(*.f64 (-.f64 1 x) (+.f64 x (pow.f64 x 3)))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x)))
(-.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 1 x) 1))
(-.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 x) -1))
(+.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 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 x)))
(+.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) -1)))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x)))
(-.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 1 x) 1))
(-.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 x) -1))
(+.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 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 x)))
(+.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) -1)))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x (/.f64 x y))
Compiler

Compiled 12 to 4 computations (66.7% 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
@0
(/.f64 (-.f64 x 1) y)
0.0ms
y
@inf
(/.f64 (-.f64 x 1) y)
0.0ms
y
@0
(/.f64 (-.f64 x 1) y)
0.0ms
x
@-inf
(/.f64 (-.f64 x 1) y)
0.0ms
y
@-inf
(/.f64 (-.f64 x 1) y)

rewrite53.0ms (0.7%)

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)))))))

simplify25.0ms (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)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 x (/.f64 y x))
✓8.3b
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1))
Compiler

Compiled 25 to 10 computations (60% saved)

series5.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite71.0ms (0.9%)

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
0820
118220
2284320
Stop Event
1×node limit
Counts
2 → 115
Calls
Call 1
Inputs
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1))
(/.f64 x (/.f64 y x))
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 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 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (/.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 (*.f64 x (/.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 (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 x y) (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 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 2) (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 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))))))
((#(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 (pow.f64 (cbrt.f64 x) 2) (*.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 (/.f64 x 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (*.f64 (cbrt.f64 x) x))))) (#(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 (pow.f64 (cbrt.f64 x) 2) 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 (pow.f64 (cbrt.f64 x) 2) (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 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y x))))))) (#(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) (pow.f64 (cbrt.f64 x) 2)) (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 (E.f64) (log.f64 (*.f64 x (/.f64 x y))))))) (#(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 (pow.f64 (*.f64 x (/.f64 x y)) 3) 1/3)))) (#(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 (/.f64 y (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (*.f64 x x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (/.f64 x y)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (/.f64 x y))))) (sqrt.f64 (log.f64 (*.f64 x (/.f64 x y)))))))) (#(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 cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y x) 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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (/.f64 x y)))) 1/3))))) (#(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 (sqrt.f64 (*.f64 x (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x y))) 1) 1))))))

simplify74.0ms (0.9%)

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
038538
1101534
2237510
3727497
43734489
57021489
Stop Event
1×node limit
Counts
163 → 131
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)))
(/.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
(/.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))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓8.3b
(/.f64 (*.f64 (/.f64 1 y) (*.f64 x x)) (+.f64 x 1))
✓10.3b
(*.f64 (/.f64 1 y) (*.f64 x x))
Compiler

Compiled 32 to 17 computations (46.9% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite70.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
524×log-prod_binary64
400×exp-prod_binary64
338×pow-prod-down_binary64
249×pow2_binary64
184×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
119920
2285020
Stop Event
1×node limit
Counts
2 → 100
Calls
Call 1
Inputs
(*.f64 (/.f64 1 y) (*.f64 x x))
(/.f64 (*.f64 (/.f64 1 y) (*.f64 x x)) (+.f64 x 1))
Outputs
((#(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 (exp.f64 (*.f64 x (/.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (/.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (*.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 1 (/.f64 y (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 x) x) (/.f64 y (pow.f64 (cbrt.f64 x) 2)))))) (#(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 (*.f64 x x) (sqrt.f64 y)) (sqrt.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 -1 (*.f64 x x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) -1) (neg.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 (E.f64) (log.f64 (*.f64 x (/.f64 x y))))))) (#(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 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) 1/3)))) (#(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 (/.f64 (pow.f64 x 6) (pow.f64 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 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (/.f64 x y)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (/.f64 x y))))) (sqrt.f64 (log.f64 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 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 cbrt.f64 (/.f64 (pow.f64 x 6) (pow.f64 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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6)) 1/3))))) (#(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 (*.f64 (log.f64 (*.f64 x (/.f64 x y))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 1 (*.f64 (+.f64 1 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (*.f64 x x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 (*.f64 y (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x y)) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x)))) 2) (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x)))))))) (#(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 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (/.f64 x (sqrt.f64 y)) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (/.f64 1 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (*.f64 x (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) 1) (/.f64 (*.f64 x x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 (/.f64 1 y) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) (+.f64 1 x)) (*.f64 x x))))) (#(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 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 y)) 1) (/.f64 (/.f64 x (sqrt.f64 y)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) 1) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2) (/.f64 (*.f64 x (/.f64 x y)) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (/.f64 1 y) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (/.f64 x (sqrt.f64 y)) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) (/.f64 (*.f64 x (/.f64 x y)) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (*.f64 x x) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (/.f64 1 y) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x))))))) (#(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 x) (*.f64 y (+.f64 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 y (*.f64 (+.f64 1 x) (pow.f64 x -2))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (hypot.f64 1 (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 (+.f64 1 x) (pow.f64 x -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) (pow.f64 (+.f64 1 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y (*.f64 (+.f64 1 x) (pow.f64 x -2))) 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)) (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (*.f64 (+.f64 1 x) (pow.f64 x -2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) (pow.f64 (+.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 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 x) (*.f64 y (+.f64 1 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))))))

simplify75.0ms (0.9%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
038538
1101534
2237510
3727497
43726489
57023489
Stop Event
1×node limit
Counts
148 → 117
Calls
Call 1
Inputs
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (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) (*.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)))
(/.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)))))
Outputs
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 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 y) (/.f64 x (+.f64 x 1)))
(*.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 y) (/.f64 x (+.f64 x 1)))
(*.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 y) (/.f64 x (+.f64 x 1)))
(*.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 y) (/.f64 x (+.f64 x 1)))
(*.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 y) (/.f64 x (+.f64 x 1)))
(*.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 y) (/.f64 x (+.f64 x 1)))
(*.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 y) (/.f64 x (+.f64 x 1)))
(*.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 y) (/.f64 x (+.f64 x 1)))
(*.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 y) (/.f64 x (+.f64 x 1)))
(*.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 y) (/.f64 x (+.f64 x 1)))
(*.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 y) (/.f64 x (+.f64 x 1)))
(*.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) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 x (/.f64 y x)) (/.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 x (*.f64 (-.f64 1 x) (/.f64 x y)))
(+.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 x (/.f64 y x)) (-.f64 (/.f64 (pow.f64 x 4) y) (/.f64 (pow.f64 x 3) y)))
(-.f64 (*.f64 (/.f64 x y) x) (-.f64 (/.f64 (pow.f64 x 3) y) (/.f64 (pow.f64 x 4) y)))
(fma.f64 x (/.f64 x y) (*.f64 (/.f64 (pow.f64 x 3) y) (+.f64 -1 x)))
(*.f64 (/.f64 x y) (+.f64 x (-.f64 (pow.f64 x 3) (*.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 x (/.f64 y x)) (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 3) y)))
(-.f64 (-.f64 (*.f64 (/.f64 x y) x) (-.f64 (/.f64 (pow.f64 x 3) y) (/.f64 (pow.f64 x 4) y))) (/.f64 (pow.f64 x 5) y))
(-.f64 (fma.f64 x (/.f64 x y) (*.f64 (/.f64 (pow.f64 x 3) y) (+.f64 -1 x))) (/.f64 (pow.f64 x 5) y))
(-.f64 (*.f64 (/.f64 x y) (+.f64 x (-.f64 (pow.f64 x 3) (*.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 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 x (*.f64 x y))))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 -1 y) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 (/.f64 x y) (-.f64 (/.f64 -1 y) (+.f64 (/.f64 (/.f64 1 y) (*.f64 x x)) (/.f64 (/.f64 -1 y) x))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 -1 y) (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 1 (*.f64 x y)))))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 x y) (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 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 x (*.f64 x y))))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 -1 y) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 (/.f64 x y) (-.f64 (/.f64 -1 y) (+.f64 (/.f64 (/.f64 1 y) (*.f64 x x)) (/.f64 (/.f64 -1 y) x))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 -1 y) (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 1 (*.f64 x y)))))

eval92.0ms (1.2%)

Compiler

Compiled 4724 to 2445 computations (48.2% saved)

prune61.0ms (0.8%)

Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New3597366
Fresh426
Picked101
Done268
Total36615381
Error
0b
Counts
381 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
✓27.5b
(/.f64 x (+.f64 x 1))
56.1b
(/.f64 1 (/.f64 y (*.f64 x x)))
37.6b
x
56.1b
(/.f64 (*.f64 x x) y)
52.7b
1
35.3b
(+.f64 0 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x)))
✓54.3b
(*.f64 x (/.f64 x y))
33.6b
(+.f64 (/.f64 x y) 1)
✓44.1b
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1))
✓8.8b
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
50.9b
(-.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) 1)
43.4b
(/.f64 (-.f64 x 1) y)
✓27.5b
(*.f64 x (/.f64 1 (+.f64 x 1)))
✓42.8b
(/.f64 x y)
54.3b
(/.f64 x (/.f64 y x))
Compiler

Compiled 119 to 81 computations (31.9% saved)

regimes117.0ms (1.5%)

Counts
40 → 1
Calls
Call 1
Inputs
1
1
x
(/.f64 x y)
(/.f64 (*.f64 x x) y)
(+.f64 (/.f64 x y) 1)
(/.f64 x (/.f64 y x))
(/.f64 (-.f64 x 1) y)
(/.f64 x (+.f64 x 1))
(*.f64 x (/.f64 x y))
(*.f64 x (/.f64 1 y))
(/.f64 x (+.f64 x 1))
(/.f64 x (+.f64 x 1))
(/.f64 1 (/.f64 y (*.f64 x x)))
(+.f64 (/.f64 (-.f64 x 1) y) 1)
(*.f64 x (/.f64 1 (+.f64 x 1)))
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) 1)
(-.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) 1)
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1))
(*.f64 x (/.f64 x (*.f64 y (+.f64 1 x))))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1))
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 0 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x)))
(/.f64 (*.f64 (/.f64 1 y) (*.f64 x x)) (+.f64 x 1))
(/.f64 (/.f64 1 (/.f64 y (*.f64 x x))) (+.f64 x 1))
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))))
(+.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
(/.f64 (/.f64 1 (*.f64 (pow.f64 x -2) y)) (+.f64 x 1))
(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (+.f64 (/.f64 x y) 1) 3))) (+.f64 x 1))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) x) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))) (+.f64 x 1))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))) 3)
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 3)) (+.f64 x 1))
Outputs
(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))))
Calls

4 calls:

46.0ms
x
24.0ms
y
18.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
18.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1y
0.2b1(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
0.2b1(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
Compiler

Compiled 371 to 203 computations (45.3% saved)

regimes230.0ms (2.9%)

Counts
30 → 3
Calls
Call 1
Inputs
1
1
x
(/.f64 x y)
(/.f64 (*.f64 x x) y)
(+.f64 (/.f64 x y) 1)
(/.f64 x (/.f64 y x))
(/.f64 (-.f64 x 1) y)
(/.f64 x (+.f64 x 1))
(*.f64 x (/.f64 x y))
(*.f64 x (/.f64 1 y))
(/.f64 x (+.f64 x 1))
(/.f64 x (+.f64 x 1))
(/.f64 1 (/.f64 y (*.f64 x x)))
(+.f64 (/.f64 (-.f64 x 1) y) 1)
(*.f64 x (/.f64 1 (+.f64 x 1)))
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) 1)
(-.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) 1)
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1))
(*.f64 x (/.f64 x (*.f64 y (+.f64 1 x))))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1))
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 0 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x)))
(/.f64 (*.f64 (/.f64 1 y) (*.f64 x x)) (+.f64 x 1))
(/.f64 (/.f64 1 (/.f64 y (*.f64 x x))) (+.f64 x 1))
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
Outputs
(+.f64 (/.f64 x y) 1)
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
(+.f64 (/.f64 (-.f64 x 1) y) 1)
Calls

4 calls:

87.0ms
x
86.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
34.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
15.0ms
y
Results
ErrorSegmentsBranch
0.1b3x
8.8b1y
0.1b3(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
0.1b3(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
Compiler

Compiled 240 to 130 computations (45.8% saved)

bsearch37.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
18765545754966.2
3085530782386819.5
18.0ms
-1.2416205935406405e+37
-6.212631657076115e+32
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes238.0ms (3%)

Counts
28 → 3
Calls
Call 1
Inputs
1
1
x
(/.f64 x y)
(/.f64 (*.f64 x x) y)
(+.f64 (/.f64 x y) 1)
(/.f64 x (/.f64 y x))
(/.f64 (-.f64 x 1) y)
(/.f64 x (+.f64 x 1))
(*.f64 x (/.f64 x y))
(*.f64 x (/.f64 1 y))
(/.f64 x (+.f64 x 1))
(/.f64 x (+.f64 x 1))
(/.f64 1 (/.f64 y (*.f64 x x)))
(+.f64 (/.f64 (-.f64 x 1) y) 1)
(*.f64 x (/.f64 1 (+.f64 x 1)))
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) 1)
(-.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) 1)
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1))
(*.f64 x (/.f64 x (*.f64 y (+.f64 1 x))))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1))
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 0 (/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x)))
(/.f64 (*.f64 (/.f64 1 y) (*.f64 x x)) (+.f64 x 1))
(/.f64 (/.f64 1 (/.f64 y (*.f64 x x))) (+.f64 x 1))
Outputs
(+.f64 (/.f64 (-.f64 x 1) y) 1)
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 (-.f64 x 1) y) 1)
Calls

2 calls:

142.0ms
y
89.0ms
x
Results
ErrorSegmentsBranch
8.2b3x
15.0b9y
Compiler

Compiled 192 to 102 computations (46.9% saved)

bsearch38.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
3.6014081848776985e-6
5820.642331142166
20.0ms
-46231.85108514198
-15399.379543730669
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes108.0ms (1.4%)

Counts
14 → 3
Calls
Call 1
Inputs
1
1
x
(/.f64 x y)
(/.f64 (*.f64 x x) y)
(+.f64 (/.f64 x y) 1)
(/.f64 x (/.f64 y x))
(/.f64 (-.f64 x 1) y)
(/.f64 x (+.f64 x 1))
(*.f64 x (/.f64 x y))
(*.f64 x (/.f64 1 y))
(/.f64 x (+.f64 x 1))
(/.f64 x (+.f64 x 1))
(/.f64 1 (/.f64 y (*.f64 x x)))
Outputs
(+.f64 (/.f64 x y) 1)
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x y) 1)
Calls

2 calls:

83.0ms
y
22.0ms
x
Results
ErrorSegmentsBranch
8.4b3x
19.3b8y
Compiler

Compiled 66 to 34 computations (48.5% saved)

bsearch40.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
23846050.965301245
6370516518568.951
20.0ms
-46231.85108514198
-15399.379543730669
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes55.0ms (0.7%)

Counts
8 → 3
Calls
Call 1
Inputs
1
1
x
(/.f64 x y)
(/.f64 (*.f64 x x) y)
(+.f64 (/.f64 x y) 1)
(/.f64 x (/.f64 y x))
(/.f64 (-.f64 x 1) y)
Outputs
(+.f64 (/.f64 x y) 1)
x
(+.f64 (/.f64 x y) 1)
Calls

2 calls:

38.0ms
y
16.0ms
x
Results
ErrorSegmentsBranch
9.6b3x
24.2b7y
Compiler

Compiled 34 to 18 computations (47.1% saved)

bsearch41.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
3.6014081848776985e-6
5820.642331142166
20.0ms
-8.410982854547843
-0.000154319262789743
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes63.0ms (0.8%)

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

2 calls:

46.0ms
y
16.0ms
x
Results
ErrorSegmentsBranch
19.3b3x
28.2b12y
Compiler

Compiled 19 to 11 computations (42.1% saved)

bsearch37.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
3.6014081848776985e-6
5820.642331142166
18.0ms
-8.410982854547843
-0.000154319262789743
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes21.0ms (0.3%)

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

2 calls:

10.0ms
y
9.0ms
x
Results
ErrorSegmentsBranch
28.8b3x
36.0b2y
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch52.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
33.0ms
5820.642331142166
23846050.965301245
19.0ms
-8.410982854547843
-0.000154319262789743
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes17.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

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

2 calls:

8.0ms
x
7.0ms
y
Results
ErrorSegmentsBranch
52.7b1x
52.7b1y
Compiler

Compiled 10 to 8 computations (20% saved)

simplify18.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
044200
155200
256200
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))))
(if (<=.f64 x -12416205935406404705865630209147928576) (+.f64 (/.f64 x y) 1) (if (<=.f64 x 4803979713271347/256) (/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1)) (+.f64 (/.f64 (-.f64 x 1) y) 1)))
(if (<=.f64 x -6354057230215261/137438953472) (+.f64 (/.f64 (-.f64 x 1) y) 1) (if (<=.f64 x 8503584651699425/2361183241434822606848) (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 (-.f64 x 1) y) 1)))
(if (<=.f64 x -6354057230215261/137438953472) (+.f64 (/.f64 x y) 1) (if (<=.f64 x 800140695583735/33554432) (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1)))
(if (<=.f64 x -2367481203097581/281474976710656) (+.f64 (/.f64 x y) 1) (if (<=.f64 x 8503584651699425/2361183241434822606848) x (+.f64 (/.f64 x y) 1)))
(if (<=.f64 x -2367481203097581/281474976710656) (/.f64 x y) (if (<=.f64 x 8503584651699425/2361183241434822606848) x (/.f64 x y)))
(if (<=.f64 x -2367481203097581/281474976710656) 1 (if (<=.f64 x 3199931962108007/549755813888) x 1))
1
Outputs
(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))))
(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y)))))
(if (<=.f64 x -12416205935406404705865630209147928576) (+.f64 (/.f64 x y) 1) (if (<=.f64 x 4803979713271347/256) (/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1)) (+.f64 (/.f64 (-.f64 x 1) y) 1)))
(if (<=.f64 x -12416205935406404705865630209147928576) (+.f64 1 (/.f64 x y)) (if (<=.f64 x 4803979713271347/256) (/.f64 (+.f64 x (*.f64 x (/.f64 x y))) (+.f64 x 1)) (+.f64 1 (/.f64 (+.f64 x -1) y))))
(if (<=.f64 x -6354057230215261/137438953472) (+.f64 (/.f64 (-.f64 x 1) y) 1) (if (<=.f64 x 8503584651699425/2361183241434822606848) (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 (-.f64 x 1) y) 1)))
(if (<=.f64 x -6354057230215261/137438953472) (+.f64 1 (/.f64 (+.f64 x -1) y)) (if (<=.f64 x 8503584651699425/2361183241434822606848) (/.f64 x (+.f64 x 1)) (+.f64 1 (/.f64 (+.f64 x -1) y))))
(if (<=.f64 x -6354057230215261/137438953472) (+.f64 (/.f64 x y) 1) (if (<=.f64 x 800140695583735/33554432) (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1)))
(if (<=.f64 x -6354057230215261/137438953472) (+.f64 1 (/.f64 x y)) (if (<=.f64 x 800140695583735/33554432) (/.f64 x (+.f64 x 1)) (+.f64 1 (/.f64 x y))))
(if (<=.f64 x -2367481203097581/281474976710656) (+.f64 (/.f64 x y) 1) (if (<=.f64 x 8503584651699425/2361183241434822606848) x (+.f64 (/.f64 x y) 1)))
(if (<=.f64 x -2367481203097581/281474976710656) (+.f64 1 (/.f64 x y)) (if (<=.f64 x 8503584651699425/2361183241434822606848) x (+.f64 1 (/.f64 x y))))
(if (<=.f64 x -2367481203097581/281474976710656) (/.f64 x y) (if (<=.f64 x 8503584651699425/2361183241434822606848) x (/.f64 x y)))
(if (<=.f64 x -2367481203097581/281474976710656) 1 (if (<=.f64 x 3199931962108007/549755813888) x 1))
1
Compiler

Compiled 156 to 104 computations (33.3% saved)

soundness0.0ms (0%)

end190.0ms (2.4%)

Compiler

Compiled 142 to 86 computations (39.4% saved)

Profiling

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