Details

Time bar (total: 7.2s)

analyze93.0ms (1.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
12.5%87.4%0.1%5
31.2%68.7%0.1%6
40.6%59.3%0.1%7
57.8%42.1%0.1%8
63.2%36.7%0.1%9
72.2%25.8%2%10
75.1%21.7%3.2%11
79.7%14.2%6%12
Compiler

Compiled 14 to 10 computations (28.6% saved)

sample1.4s (19.1%)

Results
1.2s8256×body256valid
76.0ms600×body256invalid

preprocess129.0ms (1.8%)

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 (1.1%)

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)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
8.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶8.1b
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
▶8.1b
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
Compiler

Compiled 25 to 16 computations (36% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 x y) 1)
✓0.1b
(*.f64 x (+.f64 (/.f64 x y) 1))
✓7.6b
(/.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
x
@0
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
1.0ms
y
@-inf
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
1.0ms
y
@inf
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

rewrite123.0ms (1.7%)

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)))))

simplify72.0ms (1%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
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))
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(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
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(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
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(/.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))
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(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
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(+.f64 x (/.f64 (pow.f64 x 2) y))
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(+.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))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 x (/.f64 x y) x)
✓7.6b
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
Compiler

Compiled 27 to 10 computations (63% saved)

series5.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite93.0ms (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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simplify63.0ms (0.9%)

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)))

eval200.0ms (2.8%)

Compiler

Compiled 5555 to 2711 computations (51.2% saved)

prune59.0ms (0.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New31513328
Fresh000
Picked101
Done101
Total31713330
Error
0b
Counts
330 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
40.1b
(*.f64 x (/.f64 x (fma.f64 x y y)))
▶8.1b
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
▶31.2b
(+.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))))
▶0.1b
(*.f64 (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1))
▶44.4b
(/.f64 x y)
8.2b
(pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -1)
36.8b
x
43.8b
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
8.4b
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 x y)) x) (+.f64 x 1))
▶35.3b
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
26.7b
(/.f64 x (+.f64 x 1))
8.1b
(/.f64 (*.f64 x (fma.f64 (/.f64 1 y) x 1)) (+.f64 x 1))
0.2b
(*.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 1 (+.f64 x 1))))
Compiler

Compiled 299 to 198 computations (33.8% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 32 to 17 computations (46.9% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite78.0ms (1.1%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
0916
120916
2325714
Stop Event
1×node limit
Counts
1 → 97
Calls
Call 1
Inputs
(*.f64 (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) 1) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)))) 1)))) 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simplify58.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
657×associate-+l-_binary64
657×associate--l+_binary64
508×unsub-neg_binary64
419×+-commutative_binary64
360×associate--r+_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
054495
1151495
2444421
32027392
47617386
Stop Event
1×node limit
Counts
121 → 120
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)))
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 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 x (*.f64 x (+.f64 (/.f64 1 y) -1)) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x)))
(+.f64 x (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 1 y) -1) (*.f64 (+.f64 (/.f64 x y) (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 (+.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 1 (+.f64 (/.f64 x y) (-.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 x)))))
(-.f64 (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y)) (/.f64 (+.f64 1 (/.f64 -1 y)) x))
(+.f64 1 (+.f64 (/.f64 -1 y) (-.f64 (/.f64 x y) (/.f64 (+.f64 1 (/.f64 -1 y)) x))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))))
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (*.f64 x y)))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)) (+.f64 (/.f64 1 y) (/.f64 1 x))))))
(+.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 (+.f64 (/.f64 1 y) -1) x))))
(+.f64 1 (+.f64 (/.f64 x y) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 (+.f64 (/.f64 1 y) -1) x)) (/.f64 1 y))))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y)))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 x y) (-.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 x)))))
(-.f64 (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y)) (/.f64 (+.f64 1 (/.f64 -1 y)) x))
(+.f64 1 (+.f64 (/.f64 -1 y) (-.f64 (/.f64 x y) (/.f64 (+.f64 1 (/.f64 -1 y)) x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1))))) (/.f64 1 x))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))))
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (*.f64 x y)))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)) (+.f64 (/.f64 1 y) (/.f64 1 x))))))
(+.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 (+.f64 (/.f64 1 y) -1) x))))
(+.f64 1 (+.f64 (/.f64 x y) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 (+.f64 (/.f64 1 y) -1) x)) (/.f64 1 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)))

localize8.0ms (0.1%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize11.0ms (0.2%)

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 (0.1%)

Counts
2 → 15
Calls

12 calls:

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

rewrite82.0ms (1.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 y) (+.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 x 1) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 x 1) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 x 1) y))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 x 1) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (-.f64 x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (-.f64 x 1) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 x 1) y))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 x 1) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 x 1) y))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 x 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 x 1) y))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 x 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 3) (pow.f64 y -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 2) (+.f64 (pow.f64 y -2) (/.f64 (+.f64 1 (/.f64 x y)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 2) (pow.f64 y -2)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (pow.f64 y -1/2)) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 2) (+.f64 (pow.f64 y -2) (/.f64 (+.f64 1 (/.f64 x y)) y))) (-.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 3) (pow.f64 y -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) (-.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 2) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 3) (pow.f64 y -3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 2) (+.f64 (pow.f64 y -2) (/.f64 (+.f64 1 (/.f64 x y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 2) (pow.f64 y -2)) (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 3) (pow.f64 y -3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 2) (+.f64 (pow.f64 y -2) (/.f64 (+.f64 1 (/.f64 x y)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 2) (pow.f64 y -2))) (neg.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) y) (*.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1) 1) 1)) (*.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x 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y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (-.f64 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (+.f64 1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (-.f64 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (+.f64 1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 y -1/2)) (-.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 y -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (pow.f64 y -1/2)) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (pow.f64 y -1/2)) (fma.f64 (/.f64 -1 y) 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (pow.f64 y -1/2)) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (pow.f64 y -1/2)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 y))) (cbrt.f64 (pow.f64 y -2)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (pow.f64 y -1/2)) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (pow.f64 y -1/2)) (+.f64 (/.f64 -1 y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y)) (+.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y)) (-.f64 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y)) (+.f64 1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 y -1/2)) (pow.f64 y -1/2) (-.f64 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 y -1/2)) (pow.f64 y -1/2) (+.f64 1 (/.f64 -1 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 x y))) (/.f64 (pow.f64 (/.f64 y x) -2) (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (sqrt.f64 (+.f64 1 (/.f64 x y))) (sqrt.f64 (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 y x) -2)) (/.f64 1 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1) 1) (+.f64 1 (pow.f64 (/.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 x y)) (-.f64 1 (pow.f64 (/.f64 y x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 (pow.f64 (/.f64 y x) -2) (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 y x) -2)) (-.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3))) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y x) -2))) (neg.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 y x) -2) 1) (-.f64 (/.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1) 1) (+.f64 1 (pow.f64 (/.f64 x y) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (/.f64 x y)) (-.f64 1 (pow.f64 (/.f64 y x) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x y))) 2)) (cbrt.f64 (log1p.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 x y)))) (sqrt.f64 (log1p.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 x y))))))) (#(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 exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 x y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 x y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 x y)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.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 (/.f64 x y) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (pow.f64 (/.f64 y x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 y x) -2)) (cbrt.f64 (/.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 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) 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 (pow.f64 y -1/2) (/.f64 x (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 -1 y) 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 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 y -1/2)) (pow.f64 y -1/2) 1)))))

simplify33.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
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

localize12.0ms (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))
✓7.6b
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
Compiler

Compiled 34 to 11 computations (67.6% saved)

series8.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite191.0ms (2.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
120529
2306929
Stop Event
1×node limit
Counts
3 → 144
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
(*.f64 x (/.f64 x y))
(+.f64 (*.f64 x (/.f64 x y)) x)
Outputs
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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)))))

simplify86.0ms (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
059867
1158867
2446811
31901775
46695771
Stop Event
1×node limit
Counts
216 → 171
Calls
Call 1
Inputs
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x)))) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x))))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(/.f64 (pow.f64 x 2) y)
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(/.f64 (pow.f64 x 2) y)
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(/.f64 (pow.f64 x 2) y)
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
Outputs
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)
(fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) x)
(fma.f64 x (+.f64 (/.f64 x y) (neg.f64 x)) x)
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x))
(+.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))))
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x)))
(+.f64 (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x) (*.f64 (+.f64 (/.f64 x y) (neg.f64 x)) (+.f64 x (pow.f64 x 3))))
(+.f64 (fma.f64 (*.f64 x x) (-.f64 x (/.f64 x y)) x) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x (pow.f64 x 3))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 x y) (+.f64 1 (/.f64 -1 y)))
(+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y)))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 -1 x))))
(+.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))))
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (/.f64 1 (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 x (*.f64 x y)))))) (/.f64 -1 x)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 (/.f64 -1 x) (*.f64 x y)))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 x y) (+.f64 1 (/.f64 -1 y)))
(+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x)))) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y)))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 -1 x))))
(+.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x))))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))))
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (/.f64 1 (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 x (*.f64 x y)))))) (/.f64 -1 x)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 (/.f64 -1 x) (*.f64 x y)))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))

localize69.0ms (1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))))
✓0.1b
(*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))
✓4.8b
(*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1)))
Compiler

Compiled 57 to 37 computations (35.1% saved)

series115.0ms (1.6%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
101.0ms
x
@inf
(*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))
1.0ms
x
@-inf
(*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1)))
1.0ms
x
@0
(*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1)))
1.0ms
x
@inf
(*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1)))
1.0ms
y
@0
(*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1)))

rewrite135.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
688×fma-def_binary64
669×log-prod_binary64
325×fma-neg_binary64
245×pow1/3_binary64
236×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01254
127152
2404748
Stop Event
1×node limit
Counts
3 → 186
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1)))
(*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))
(+.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 -1 y) x)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) x)))))

simplify163.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
526×distribute-rgt-out--_binary64
471×fma-def_binary64
321×associate-/l*_binary64
292×associate--r+_binary64
261×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0321485
1921431
22361100
3854991
43773987
Stop Event
1×node limit
Counts
258 → 216
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(*.f64 (-.f64 x 1) (pow.f64 x 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(*.f64 (-.f64 x 1) (pow.f64 x 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(*.f64 -1 (-.f64 1 (/.f64 1 y)))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
x
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) x)
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) x))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) x))
(*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) x))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) x))
(*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) x))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) x))
(*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (+.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (+.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (+.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) x))
(+.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (+.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (+.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (+.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) x))
(+.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (+.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (+.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (+.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) x))
Outputs
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2)))
(*.f64 (neg.f64 (-.f64 1 (/.f64 1 y))) (*.f64 x x))
(*.f64 (*.f64 x x) (neg.f64 (-.f64 1 (/.f64 1 y))))
(*.f64 x (*.f64 x (+.f64 -1 (/.f64 1 y))))
(*.f64 x (+.f64 (neg.f64 x) (/.f64 x y)))
(*.f64 x (-.f64 (/.f64 x y) x))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x))
(*.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x))
(*.f64 (-.f64 x (/.f64 x y)) (fma.f64 x x (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x))
(*.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x))
(*.f64 (-.f64 x (/.f64 x y)) (fma.f64 x x (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x))
(*.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x))
(*.f64 (-.f64 x (/.f64 x y)) (fma.f64 x x (neg.f64 x)))
(*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3))
(*.f64 (*.f64 x x) (-.f64 x (/.f64 x y)))
(-.f64 (pow.f64 x 3) (/.f64 (pow.f64 x 3) y))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x))
(*.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x))
(*.f64 (-.f64 x (/.f64 x y)) (fma.f64 x x (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x))
(*.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x))
(*.f64 (-.f64 x (/.f64 x y)) (fma.f64 x x (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x))
(*.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x))
(*.f64 (-.f64 x (/.f64 x y)) (fma.f64 x x (neg.f64 x)))
(*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3))
(*.f64 (*.f64 x x) (-.f64 x (/.f64 x y)))
(-.f64 (pow.f64 x 3) (/.f64 (pow.f64 x 3) y))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x))
(*.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x))
(*.f64 (-.f64 x (/.f64 x y)) (fma.f64 x x (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x))
(*.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x))
(*.f64 (-.f64 x (/.f64 x y)) (fma.f64 x x (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x))
(*.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x))
(*.f64 (-.f64 x (/.f64 x y)) (fma.f64 x x (neg.f64 x)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y))
(neg.f64 (/.f64 (+.f64 x -1) (/.f64 y (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 -1 x)) (/.f64 y (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 -1 x 1) y) (*.f64 x x))
(*.f64 (*.f64 x (/.f64 x y)) (-.f64 1 x))
(*.f64 (*.f64 x x) (/.f64 (-.f64 1 x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x))
(*.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x))
(*.f64 (-.f64 x (/.f64 x y)) (fma.f64 x x (neg.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x))
(*.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x))
(*.f64 (-.f64 x (/.f64 x y)) (fma.f64 x x (neg.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x))
(*.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x))
(*.f64 (-.f64 x (/.f64 x y)) (fma.f64 x x (neg.f64 x)))
(*.f64 (-.f64 x 1) (pow.f64 x 2))
(*.f64 (*.f64 x x) (+.f64 x -1))
(*.f64 (*.f64 x x) (+.f64 -1 x))
(-.f64 (pow.f64 x 3) (*.f64 x x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x))
(*.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x))
(*.f64 (-.f64 x (/.f64 x y)) (fma.f64 x x (neg.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x))
(*.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x))
(*.f64 (-.f64 x (/.f64 x y)) (fma.f64 x x (neg.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x))
(*.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x))
(*.f64 (-.f64 x (/.f64 x y)) (fma.f64 x x (neg.f64 x)))
(*.f64 (-.f64 x 1) (pow.f64 x 2))
(*.f64 (*.f64 x x) (+.f64 x -1))
(*.f64 (*.f64 x x) (+.f64 -1 x))
(-.f64 (pow.f64 x 3) (*.f64 x x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x))
(*.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x))
(*.f64 (-.f64 x (/.f64 x y)) (fma.f64 x x (neg.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x))
(*.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x))
(*.f64 (-.f64 x (/.f64 x y)) (fma.f64 x x (neg.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (*.f64 (-.f64 x 1) (pow.f64 x 2)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x))
(*.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x))
(*.f64 (-.f64 x (/.f64 x y)) (fma.f64 x x (neg.f64 x)))
(*.f64 -1 (/.f64 (-.f64 x 1) y))
(neg.f64 (/.f64 (+.f64 x -1) y))
(/.f64 (neg.f64 (+.f64 -1 x)) y)
(/.f64 (fma.f64 -1 x 1) y)
(/.f64 (-.f64 1 x) y)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(-.f64 x 1)
(+.f64 x -1)
(+.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(-.f64 x 1)
(+.f64 x -1)
(+.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) 1)
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(*.f64 -1 (-.f64 1 (/.f64 1 y)))
(neg.f64 (-.f64 1 (/.f64 1 y)))
(+.f64 -1 (/.f64 1 y))
(-.f64 -1 (/.f64 -1 y))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(+.f64 x (/.f64 (neg.f64 x) y))
(-.f64 x (/.f64 x y))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(+.f64 x (/.f64 (neg.f64 x) y))
(-.f64 x (/.f64 x y))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(+.f64 (*.f64 -1 (-.f64 1 (/.f64 1 y))) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) -1)
(+.f64 -1 (-.f64 x (/.f64 (+.f64 -1 x) y)))
(+.f64 -1 (+.f64 x (/.f64 (-.f64 1 x) y)))
x
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) x)
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) x)
(fma.f64 (neg.f64 (-.f64 1 (/.f64 1 y))) (*.f64 x x) x)
(fma.f64 (*.f64 x x) (+.f64 -1 (/.f64 1 y)) x)
(-.f64 x (*.f64 x (-.f64 x (/.f64 x y))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) x))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x))
(-.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(+.f64 x (*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x)))
(fma.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)) x)
(fma.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x) x)
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) x))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x))
(-.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(+.f64 x (*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x)))
(fma.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)) x)
(fma.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x) x)
(*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3))
(*.f64 (*.f64 x x) (-.f64 x (/.f64 x y)))
(-.f64 (pow.f64 x 3) (/.f64 (pow.f64 x 3) y))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x))
(*.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x))
(*.f64 (-.f64 x (/.f64 x y)) (fma.f64 x x (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) x))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x))
(-.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(+.f64 x (*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x)))
(fma.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)) x)
(fma.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x) x)
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) x))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x))
(-.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(+.f64 x (*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x)))
(fma.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)) x)
(fma.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x) x)
(*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3))
(*.f64 (*.f64 x x) (-.f64 x (/.f64 x y)))
(-.f64 (pow.f64 x 3) (/.f64 (pow.f64 x 3) y))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)))
(-.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x))
(*.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x))
(*.f64 (-.f64 x (/.f64 x y)) (fma.f64 x x (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) x))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x))
(-.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(+.f64 x (*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x)))
(fma.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)) x)
(fma.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x) x)
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) x))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x))
(-.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(+.f64 x (*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x)))
(fma.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)) x)
(fma.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x) x)
(*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y))
(neg.f64 (/.f64 (+.f64 x -1) (/.f64 y (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 -1 x)) (/.f64 y (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 -1 x 1) y) (*.f64 x x))
(*.f64 (*.f64 x (/.f64 x y)) (-.f64 1 x))
(*.f64 (*.f64 x x) (/.f64 (-.f64 1 x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (+.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) x))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x))
(-.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(+.f64 x (*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x)))
(fma.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)) x)
(fma.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (+.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) x))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x))
(-.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(+.f64 x (*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x)))
(fma.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)) x)
(fma.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (+.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) x))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x))
(-.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(+.f64 x (*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x)))
(fma.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)) x)
(fma.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x) x)
(+.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) x)
(fma.f64 (+.f64 x -1) (*.f64 x x) x)
(fma.f64 (*.f64 x x) (+.f64 -1 x) x)
(fma.f64 x (-.f64 (*.f64 x x) x) x)
(fma.f64 x (fma.f64 x x (neg.f64 x)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (+.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) x))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x))
(-.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(+.f64 x (*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x)))
(fma.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)) x)
(fma.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (+.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) x))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x))
(-.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(+.f64 x (*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x)))
(fma.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)) x)
(fma.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (+.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) x))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x))
(-.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(+.f64 x (*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x)))
(fma.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)) x)
(fma.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x) x)
(+.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) x)
(fma.f64 (+.f64 x -1) (*.f64 x x) x)
(fma.f64 (*.f64 x x) (+.f64 -1 x) x)
(fma.f64 x (-.f64 (*.f64 x x) x) x)
(fma.f64 x (fma.f64 x x (neg.f64 x)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (+.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) x))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x))
(-.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(+.f64 x (*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x)))
(fma.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)) x)
(fma.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (+.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) x))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x))
(-.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(+.f64 x (*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x)))
(fma.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)) x)
(fma.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) y)) (+.f64 (*.f64 (-.f64 x 1) (pow.f64 x 2)) x))
(fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x))
(-.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) x) (*.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)))
(+.f64 x (*.f64 (*.f64 x (+.f64 x (/.f64 (neg.f64 x) y))) (+.f64 -1 x)))
(fma.f64 x (*.f64 (-.f64 x (/.f64 x y)) (+.f64 -1 x)) x)
(fma.f64 (*.f64 x (-.f64 x (/.f64 x y))) (+.f64 -1 x) x)

eval591.0ms (8.3%)

Compiler

Compiled 14246 to 8323 computations (41.6% saved)

prune236.0ms (3.3%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New77010780
Fresh628
Picked101
Done224
Total77914793
Error
0b
Counts
793 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
36.8b
x
✓0.1b
(*.f64 (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1))
28.4b
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
15.5b
(/.f64 (+.f64 (/.f64 (*.f64 x x) y) x) (+.f64 x 1))
▶35.3b
(+.f64 (/.f64 (-.f64 x 1) y) 1)
45.1b
(/.f64 (-.f64 x 1) y)
▶8.1b
(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x 1))
▶43.8b
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
▶26.7b
(/.f64 x (+.f64 x 1))
52.4b
1
8.4b
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 x y)) x) (+.f64 x 1))
8.2b
(/.f64 1 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)))
✓44.4b
(/.f64 x y)
▶35.3b
(fma.f64 (/.f64 1 y) (-.f64 x 1) 1)
Compiler

Compiled 250 to 165 computations (34% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 x (/.f64 y x)) x)
✓0.1b
(/.f64 x (/.f64 y x))
✓7.6b
(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x 1))
Compiler

Compiled 34 to 11 computations (67.6% saved)

series7.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite83.0ms (1.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0933
120929
2328829
Stop Event
1×node limit
Counts
3 → 159
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x 1))
(/.f64 x (/.f64 y x))
(+.f64 (/.f64 x (/.f64 y x)) x)
Outputs
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egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 1) (*.f64 x (/.f64 x y)))))) (#(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 (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 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1) (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) y) (/.f64 (cbrt.f64 x) (pow.f64 x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) y) (pow.f64 x 3/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (/.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) -2) (/.f64 x (cbrt.f64 (/.f64 y x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 x (/.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 y x) -1/2) (/.f64 x (sqrt.f64 (/.f64 y x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 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 (neg.f64 y)) (neg.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) 1) x 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)))))

simplify70.0ms (1%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
059867
1158867
2446811
31901775
46695771
Stop Event
1×node limit
Counts
231 → 185
Calls
Call 1
Inputs
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x)))) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x))))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(/.f64 (pow.f64 x 2) y)
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(/.f64 (pow.f64 x 2) y)
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(/.f64 (pow.f64 x 2) y)
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
Outputs
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)
(fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) x)
(fma.f64 x (+.f64 (/.f64 x y) (neg.f64 x)) x)
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x))
(+.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))))
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x)))
(+.f64 (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x) (*.f64 (+.f64 (/.f64 x y) (neg.f64 x)) (+.f64 x (pow.f64 x 3))))
(+.f64 (fma.f64 (*.f64 x x) (-.f64 x (/.f64 x y)) x) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x (pow.f64 x 3))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 x y) (+.f64 1 (/.f64 -1 y)))
(+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y)))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 -1 x))))
(+.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))))
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (/.f64 1 (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 x (*.f64 x y)))))) (/.f64 -1 x)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 (/.f64 -1 x) (*.f64 x y)))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 x y) (+.f64 1 (/.f64 -1 y)))
(+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x)))) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y)))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 -1 x))))
(+.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x))))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))))
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (/.f64 1 (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 x (*.f64 x y)))))) (/.f64 -1 x)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 (/.f64 -1 x) (*.f64 x y)))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (*.f64 (/.f64 x y) x))
(+.f64 x (*.f64 x (/.f64 x y)))

localize5.0ms (0.1%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 13 computations (35% saved)

series6.0ms (0.1%)

Counts
2 → 36
Calls

12 calls:

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

rewrite66.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116117
2234417
Stop Event
1×node limit
Counts
2 → 68
Calls
Call 1
Inputs
(/.f64 (-.f64 x 1) y)
(+.f64 (/.f64 (-.f64 x 1) y) 1)
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 1 (/.f64 (+.f64 x -1) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x y) (/.f64 1 y))))) (#(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 x -1) (*.f64 (/.f64 1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x -1) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) y)) 2) (cbrt.f64 (/.f64 (+.f64 x -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) y)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 x -1) y)) 1))))) (#(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 (+.f64 x -1) y)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x -1) y)) 1))))) (#(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 (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 (pow.f64 (/.f64 (+.f64 x -1) y) 3) 1/3)))) (#(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 expm1.f64 (log1p.f64 (/.f64 (+.f64 x -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x -1) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x y) (-.f64 (/.f64 1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (/.f64 (+.f64 x -1) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 2) (+.f64 (/.f64 (+.f64 x -1) y) -1)) (/.f64 1 (+.f64 (/.f64 (+.f64 x -1) y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (+.f64 x -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))) 2) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))) (sqrt.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 x -1) y) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 2) (-.f64 1 (/.f64 (+.f64 x -1) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 2) -1) (/.f64 1 (+.f64 (/.f64 (+.f64 x -1) y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 2) (-.f64 1 (/.f64 (+.f64 x -1) y))) (+.f64 1 (pow.f64 (/.f64 (+.f64 x -1) y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 x -1) y) -1) (+.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 x -1) y) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 2) (-.f64 1 (/.f64 (+.f64 x -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 x -1) y) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 2) (/.f64 (+.f64 x -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 2) -1) (+.f64 (/.f64 (+.f64 x -1) y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 x -1) y) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 2) (-.f64 1 (/.f64 (+.f64 x -1) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 2) -1)) (neg.f64 (+.f64 (/.f64 (+.f64 x -1) y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 x -1) y) 2)) (-.f64 1 (/.f64 (+.f64 x -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (+.f64 x -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 x -1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -1) (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) y)) 2) (cbrt.f64 (/.f64 (+.f64 x -1) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 x -1) y)) (sqrt.f64 (/.f64 (+.f64 x -1) y)) 1)))))

simplify45.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
179×fma-neg_binary64
178×fma-def_binary64
64×cancel-sign-sub-inv_binary64
52×distribute-rgt-in_binary64
39×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014279
124279
232279
351279
478279
5128279
6232279
7333279
8496279
9693279
10928279
111014279
121053279
Stop Event
1×saturated
Counts
104 → 76
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))
(-.f64 1 (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(/.f64 (-.f64 x 1) y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
1
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
1
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
Outputs
(/.f64 -1 y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
1
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
1
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x (/.f64 x y))
✓7.6b
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
Compiler

Compiled 25 to 10 computations (60% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite61.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

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

simplify75.0ms (1.1%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
038370
1101366
2237342
3727329
43734321
57021321
Stop Event
1×node limit
Counts
87 → 80
Calls
Call 1
Inputs
(/.f64 (pow.f64 x 2) y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 2) y))))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
Outputs
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (*.f64 x x) y) (/.f64 (pow.f64 x 3) y))
(-.f64 (*.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 3) y))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(*.f64 (*.f64 x (/.f64 x y)) (-.f64 1 x))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y)) (/.f64 (pow.f64 x 4) y))
(+.f64 (/.f64 (*.f64 x x) y) (-.f64 (/.f64 (pow.f64 x 4) y) (/.f64 (pow.f64 x 3) y)))
(+.f64 (*.f64 (/.f64 x y) x) (-.f64 (/.f64 (pow.f64 x 4) y) (/.f64 (pow.f64 x 3) y)))
(fma.f64 x (/.f64 x y) (*.f64 (/.f64 (pow.f64 x 3) y) (+.f64 -1 x)))
(*.f64 (/.f64 x y) (-.f64 x (-.f64 (*.f64 x x) (pow.f64 x 3))))
(*.f64 (/.f64 x y) (+.f64 (pow.f64 x 3) (-.f64 x (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 2) y))))
(+.f64 (/.f64 (pow.f64 x 4) y) (fma.f64 -1 (/.f64 (pow.f64 x 3) y) (fma.f64 -1 (/.f64 (pow.f64 x 5) y) (/.f64 (*.f64 x x) y))))
(+.f64 (/.f64 (pow.f64 x 4) y) (-.f64 (-.f64 (/.f64 (*.f64 x x) y) (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 3) y)))
(+.f64 (*.f64 (/.f64 x y) x) (-.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (/.f64 (pow.f64 x 3) y) (/.f64 (pow.f64 x 5) y))))
(fma.f64 x (/.f64 x y) (-.f64 (*.f64 (/.f64 (pow.f64 x 3) y) (+.f64 -1 x)) (/.f64 (pow.f64 x 5) y)))
(-.f64 (*.f64 (/.f64 x y) (-.f64 x (-.f64 (*.f64 x x) (pow.f64 x 3)))) (/.f64 (pow.f64 x 5) y))
(-.f64 (*.f64 (/.f64 x y) (+.f64 (pow.f64 x 3) (-.f64 x (*.f64 x x)))) (/.f64 (pow.f64 x 5) y))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 x y) (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 (-.f64 (/.f64 x y) (/.f64 1 y)) (/.f64 1 (*.f64 x y)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 -1 y)) (/.f64 1 (*.f64 x y)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 -1 y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 y)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 (*.f64 x x) y)))))
(+.f64 (/.f64 x y) (-.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 (*.f64 x x) y)))))
(+.f64 (/.f64 x y) (+.f64 (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 -1 (*.f64 x (*.f64 x y)))) (/.f64 -1 y)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 -1 y) (/.f64 (/.f64 -1 (*.f64 x x)) y))))
(+.f64 (-.f64 (/.f64 x y) (/.f64 1 y)) (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 1 (*.f64 x y))))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 x y) (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 (-.f64 (/.f64 x y) (/.f64 1 y)) (/.f64 1 (*.f64 x y)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 -1 y)) (/.f64 1 (*.f64 x y)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 -1 y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 y)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 (*.f64 x x) y)))))
(+.f64 (/.f64 x y) (-.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 (*.f64 x x) y)))))
(+.f64 (/.f64 x y) (+.f64 (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 -1 (*.f64 x (*.f64 x y)))) (/.f64 -1 y)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 -1 y) (/.f64 (/.f64 -1 (*.f64 x x)) y))))
(+.f64 (-.f64 (/.f64 x y) (/.f64 1 y)) (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 1 (*.f64 x y))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 13 computations (31.6% saved)

series8.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite54.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
727×pow1_binary64
675×add-log-exp_binary64
674×log1p-expm1-u_binary64
674×expm1-log1p-u_binary64
660×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0711
114910
2190210
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 (/.f64 1 y) (-.f64 x 1) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (+.f64 x -1) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x -1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 x -1) y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (/.f64 (+.f64 x -1) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (+.f64 x -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))) 2) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))) (sqrt.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 3) 1) (+.f64 (*.f64 (/.f64 (+.f64 x -1) y) (/.f64 (+.f64 x -1) y)) (-.f64 1 (*.f64 (/.f64 (+.f64 x -1) y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (+.f64 x -1) y) (/.f64 (+.f64 x -1) y)) 1) (-.f64 (/.f64 (+.f64 x -1) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1 (/.f64 (+.f64 x -1) y))))))))

simplify42.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
011204
122204
231204
349204
475204
5115204
6204204
7353204
8516204
9641204
10815204
111010204
121095204
131139204
Stop Event
1×saturated
Counts
45 → 29
Calls
Call 1
Inputs
(/.f64 (-.f64 x 1) y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
1
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
1
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 1 (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
Outputs
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
1
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
1
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))

eval107.0ms (1.5%)

Compiler

Compiled 5830 to 3012 computations (48.3% saved)

prune70.0ms (1%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New3966402
Fresh257
Picked101
Done336
Total40214416
Error
0b
Counts
416 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
36.8b
x
▶48.1b
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1))
✓0.1b
(*.f64 (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1))
28.4b
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
▶45.1b
(/.f64 (-.f64 x 1) y)
✓26.7b
(/.f64 x (+.f64 x 1))
35.1b
(+.f64 (/.f64 x y) 1)
52.4b
1
▶53.2b
(*.f64 x (/.f64 x y))
8.4b
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 x y)) x) (+.f64 x 1))
▶8.2b
(/.f64 1 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)))
▶35.3b
(+.f64 (*.f64 (/.f64 1 y) (+.f64 x -1)) 1)
✓44.4b
(/.f64 x y)
43.9b
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1))
Compiler

Compiled 225 to 148 computations (34.2% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 x (/.f64 x y) x)
✓0.2b
(/.f64 1 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)))
✓7.6b
(/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x))
Compiler

Compiled 39 to 15 computations (61.5% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite77.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
517×log-prod_binary64
402×exp-prod_binary64
317×pow-prod-down_binary64
264×pow2_binary64
199×prod-diff_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0931
120328
2290728
Stop Event
1×node limit
Counts
2 → 116
Calls
Call 1
Inputs
(/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x))
(/.f64 1 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)))
Outputs
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(2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (-.f64 (log1p.f64 x) (log.f64 (fma.f64 x (/.f64 x y) x))))))) (#(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 (neg.f64 (/.f64 (fma.f64 -1 x -1) (fma.f64 x (/.f64 x y) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 x (/.f64 x y) x)) (sqrt.f64 (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) (log1p.f64 x))) 2)) (cbrt.f64 (-.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (fma.f64 x (/.f64 x y) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (fma.f64 x (/.f64 x y) x))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (fma.f64 x (/.f64 x y) x))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) (log1p.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (/.f64 y x)) (/.f64 1 (+.f64 x 1)) (*.f64 x (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (/.f64 y x)) (*.f64 (/.f64 1 (+.f64 x 1)) x))))))

simplify71.0ms (1%)

Algorithm
1×egg-herbie
Rules
458×sub-neg_binary64
397×associate-+l+_binary64
385×fma-def_binary64
326×distribute-rgt-out_binary64
278×associate-+r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01241295
13621272
212181098
357601023
Stop Event
1×node limit
Counts
164 → 166
Calls
Call 1
Inputs
(/.f64 1 x)
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x) (/.f64 1 x))) (/.f64 1 y))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x) (/.f64 1 x)))) (/.f64 1 y))
(/.f64 y x)
(-.f64 (+.f64 (/.f64 y x) (/.f64 y (pow.f64 x 2))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -1 (/.f64 (*.f64 y (-.f64 y (pow.f64 y 2))) (pow.f64 x 3))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (pow.f64 y 2))) (pow.f64 x 4)) (*.f64 -1 (/.f64 (*.f64 y (-.f64 y (pow.f64 y 2))) (pow.f64 x 3)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 y x)
(-.f64 (+.f64 (/.f64 y x) (/.f64 y (pow.f64 x 2))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -1 (/.f64 (*.f64 y (-.f64 y (pow.f64 y 2))) (pow.f64 x 3))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (pow.f64 y 2))) (pow.f64 x 4)) (*.f64 -1 (/.f64 (*.f64 y (-.f64 y (pow.f64 y 2))) (pow.f64 x 3)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (*.f64 y (+.f64 1 x)) (pow.f64 x 2))
(+.f64 (/.f64 (*.f64 (+.f64 1 x) y) (pow.f64 x 2)) (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 (*.f64 (+.f64 1 x) y) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) x) (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 (/.f64 (*.f64 (+.f64 1 x) y) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) x) (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))))
(/.f64 (+.f64 1 x) x)
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 x) y)) (/.f64 1 x)))
(+.f64 (/.f64 (*.f64 (+.f64 1 x) x) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 x) y)) (/.f64 1 x))))
(+.f64 (/.f64 (*.f64 (+.f64 1 x) x) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 1 x)))))
(/.f64 (+.f64 1 x) x)
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 x) y)) (/.f64 1 x)))
(+.f64 (/.f64 (*.f64 (+.f64 1 x) x) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 x) y)) (/.f64 1 x))))
(+.f64 (/.f64 (*.f64 (+.f64 1 x) x) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 1 x)))))
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(/.f64 x y)
(-.f64 (+.f64 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)))
Outputs
(/.f64 1 x)
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 1 x) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 1 x) (/.f64 -1 y)))
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x) (/.f64 1 x))) (/.f64 1 y))
(+.f64 1 (-.f64 (fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (/.f64 1 x)) (/.f64 1 y)))
(+.f64 1 (+.f64 (fma.f64 x (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)) (/.f64 1 x)) (/.f64 -1 y)))
(+.f64 (/.f64 1 x) (+.f64 (fma.f64 x (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)) (/.f64 -1 y)) 1))
(+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 x (*.f64 y y)) (*.f64 (/.f64 -1 y) (-.f64 x -1)))))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x) (/.f64 1 x)))) (/.f64 1 y))
(-.f64 (fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) (*.f64 x x) (+.f64 1 (fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (/.f64 1 x)))) (/.f64 1 y))
(fma.f64 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 3))) (*.f64 x x) (+.f64 1 (+.f64 (fma.f64 x (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)) (/.f64 1 x)) (/.f64 -1 y))))
(fma.f64 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 3))) (*.f64 x x) (+.f64 (/.f64 1 x) (+.f64 (fma.f64 x (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)) (/.f64 -1 y)) 1)))
(+.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 x (*.f64 y y)) (*.f64 (/.f64 -1 y) (-.f64 x -1)))) (fma.f64 x (+.f64 (/.f64 x (*.f64 y y)) (*.f64 (/.f64 -1 (pow.f64 y 3)) x)) 1))
(/.f64 y x)
(-.f64 (+.f64 (/.f64 y x) (/.f64 y (pow.f64 x 2))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (/.f64 y (*.f64 x x))) (/.f64 (*.f64 y y) (*.f64 x x)))
(+.f64 (/.f64 y (*.f64 x x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (/.f64 y x) (/.f64 (-.f64 y (*.f64 y y)) (*.f64 x x)))
(+.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) (-.f64 1 y)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -1 (/.f64 (*.f64 y (-.f64 y (pow.f64 y 2))) (pow.f64 x 3))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (+.f64 (/.f64 y x) (/.f64 y (*.f64 x x))) (neg.f64 (/.f64 y (/.f64 (pow.f64 x 3) (-.f64 y (*.f64 y y)))))) (/.f64 (*.f64 y y) (*.f64 x x)))
(+.f64 (-.f64 (/.f64 y (*.f64 x x)) (*.f64 (/.f64 y (pow.f64 x 3)) (-.f64 y (*.f64 y y)))) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (/.f64 (-.f64 y (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 y x) (*.f64 (-.f64 y (*.f64 y y)) (/.f64 y (pow.f64 x 3)))))
(+.f64 (/.f64 y x) (*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (*.f64 (/.f64 y (*.f64 x x)) (-.f64 1 y))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (pow.f64 y 2))) (pow.f64 x 4)) (*.f64 -1 (/.f64 (*.f64 y (-.f64 y (pow.f64 y 2))) (pow.f64 x 3)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (/.f64 y x) (-.f64 (+.f64 (+.f64 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 4) (-.f64 y (*.f64 y y))))) (neg.f64 (/.f64 y (/.f64 (pow.f64 x 3) (-.f64 y (*.f64 y y)))))) (/.f64 (*.f64 y y) (*.f64 x x))))
(+.f64 (+.f64 (-.f64 (/.f64 y (*.f64 x x)) (*.f64 (/.f64 y (pow.f64 x 3)) (-.f64 y (*.f64 y y)))) (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 4)) (-.f64 y (*.f64 y y)))) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 (*.f64 (-.f64 y (*.f64 y y)) (-.f64 (/.f64 (*.f64 y y) (pow.f64 x 4)) (/.f64 y (pow.f64 x 3)))) (/.f64 (-.f64 y (*.f64 y y)) (*.f64 x x))))
(+.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) (-.f64 1 y))) (*.f64 (-.f64 y (*.f64 y y)) (*.f64 (/.f64 y (pow.f64 x 3)) (-.f64 (/.f64 y x) 1))))
(/.f64 y x)
(-.f64 (+.f64 (/.f64 y x) (/.f64 y (pow.f64 x 2))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (/.f64 y (*.f64 x x))) (/.f64 (*.f64 y y) (*.f64 x x)))
(+.f64 (/.f64 y (*.f64 x x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (/.f64 y x) (/.f64 (-.f64 y (*.f64 y y)) (*.f64 x x)))
(+.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) (-.f64 1 y)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -1 (/.f64 (*.f64 y (-.f64 y (pow.f64 y 2))) (pow.f64 x 3))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (+.f64 (/.f64 y x) (/.f64 y (*.f64 x x))) (neg.f64 (/.f64 y (/.f64 (pow.f64 x 3) (-.f64 y (*.f64 y y)))))) (/.f64 (*.f64 y y) (*.f64 x x)))
(+.f64 (-.f64 (/.f64 y (*.f64 x x)) (*.f64 (/.f64 y (pow.f64 x 3)) (-.f64 y (*.f64 y y)))) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (/.f64 (-.f64 y (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 y x) (*.f64 (-.f64 y (*.f64 y y)) (/.f64 y (pow.f64 x 3)))))
(+.f64 (/.f64 y x) (*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (*.f64 (/.f64 y (*.f64 x x)) (-.f64 1 y))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (pow.f64 y 2))) (pow.f64 x 4)) (*.f64 -1 (/.f64 (*.f64 y (-.f64 y (pow.f64 y 2))) (pow.f64 x 3)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (/.f64 y x) (-.f64 (+.f64 (+.f64 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 4) (-.f64 y (*.f64 y y))))) (neg.f64 (/.f64 y (/.f64 (pow.f64 x 3) (-.f64 y (*.f64 y y)))))) (/.f64 (*.f64 y y) (*.f64 x x))))
(+.f64 (+.f64 (-.f64 (/.f64 y (*.f64 x x)) (*.f64 (/.f64 y (pow.f64 x 3)) (-.f64 y (*.f64 y y)))) (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 4)) (-.f64 y (*.f64 y y)))) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 (*.f64 (-.f64 y (*.f64 y y)) (-.f64 (/.f64 (*.f64 y y) (pow.f64 x 4)) (/.f64 y (pow.f64 x 3)))) (/.f64 (-.f64 y (*.f64 y y)) (*.f64 x x))))
(+.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) (-.f64 1 y))) (*.f64 (-.f64 y (*.f64 y y)) (*.f64 (/.f64 y (pow.f64 x 3)) (-.f64 (/.f64 y x) 1))))
(/.f64 (*.f64 y (+.f64 1 x)) (pow.f64 x 2))
(/.f64 y (/.f64 (*.f64 x x) (+.f64 1 x)))
(*.f64 (/.f64 y x) (/.f64 (+.f64 1 x) x))
(/.f64 (/.f64 (fma.f64 x y y) x) x)
(+.f64 (/.f64 (*.f64 (+.f64 1 x) y) (pow.f64 x 2)) (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 y (/.f64 (*.f64 x x) (+.f64 1 x))) (neg.f64 (*.f64 (*.f64 y y) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))))
(-.f64 (*.f64 (/.f64 y x) (/.f64 (+.f64 1 x) x)) (*.f64 (*.f64 y y) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(*.f64 y (-.f64 (/.f64 (+.f64 1 x) (*.f64 x x)) (+.f64 (/.f64 (/.f64 y x) x) (/.f64 y (pow.f64 x 3)))))
(-.f64 (*.f64 (/.f64 y (*.f64 x x)) (-.f64 (+.f64 1 x) y)) (/.f64 (*.f64 y y) (pow.f64 x 3)))
(+.f64 (/.f64 (*.f64 (+.f64 1 x) y) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) x) (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))))
(+.f64 (/.f64 y (/.f64 (*.f64 x x) (+.f64 1 x))) (+.f64 (neg.f64 (*.f64 (*.f64 y y) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))) (/.f64 (pow.f64 y 3) (/.f64 x (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))))
(+.f64 (*.f64 (/.f64 y x) (/.f64 (+.f64 1 x) x)) (-.f64 (*.f64 (/.f64 (pow.f64 y 3) x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) (*.f64 (*.f64 y y) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 (/.f64 (fma.f64 x y y) x) x) (*.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (-.f64 (/.f64 (pow.f64 y 3) x) (*.f64 y y))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 (/.f64 (*.f64 (+.f64 1 x) y) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) x) (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))))
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 4))) (pow.f64 y 4)) (+.f64 (/.f64 y (/.f64 (*.f64 x x) (+.f64 1 x))) (+.f64 (neg.f64 (*.f64 (*.f64 y y) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))) (/.f64 (pow.f64 y 3) (/.f64 x (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))))))
(+.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y 3) x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) (*.f64 (*.f64 y y) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 4)))) (pow.f64 y 4) (*.f64 (/.f64 y x) (/.f64 (+.f64 1 x) x))))
(+.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (-.f64 (/.f64 (pow.f64 y 3) x) (*.f64 y y))) (fma.f64 (pow.f64 y 4) (+.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 4))) (/.f64 (/.f64 (fma.f64 x y y) x) x)))
(/.f64 (+.f64 1 x) x)
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 x) y)) (/.f64 1 x)))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 1 x) y) (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 1 x) (/.f64 (+.f64 1 x) y)))
(+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 (-.f64 -1 x) y))
(+.f64 (/.f64 (*.f64 (+.f64 1 x) x) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 x) y)) (/.f64 1 x))))
(+.f64 (+.f64 1 (fma.f64 -1 (/.f64 (+.f64 1 x) y) (/.f64 1 x))) (/.f64 (+.f64 1 x) (/.f64 (*.f64 y y) x)))
(+.f64 1 (+.f64 (-.f64 (/.f64 1 x) (/.f64 (+.f64 1 x) y)) (*.f64 (/.f64 (+.f64 1 x) y) (/.f64 x y))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (fma.f64 x x x) (*.f64 y y)) (-.f64 1 (/.f64 (+.f64 1 x) y))))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 (+.f64 1 x) y) (+.f64 -1 (/.f64 x y)))))
(+.f64 (/.f64 (*.f64 (+.f64 1 x) x) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 1 x)))))
(+.f64 (+.f64 (/.f64 (+.f64 1 x) (/.f64 (*.f64 y y) x)) 1) (fma.f64 -1 (/.f64 (+.f64 1 x) y) (fma.f64 -1 (/.f64 (*.f64 (*.f64 x x) (+.f64 1 x)) (pow.f64 y 3)) (/.f64 1 x))))
(+.f64 1 (+.f64 (-.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 (+.f64 1 x) (pow.f64 y 3)) (*.f64 x x))) (/.f64 (+.f64 1 x) y)) (*.f64 (/.f64 (+.f64 1 x) y) (/.f64 x y))))
(+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (*.f64 (/.f64 (+.f64 1 x) y) (-.f64 -1 (*.f64 x (/.f64 x (*.f64 y y))))) (/.f64 (fma.f64 x x x) (*.f64 y y)))))
(+.f64 1 (+.f64 (/.f64 (-.f64 -1 x) y) (-.f64 (/.f64 1 x) (*.f64 (/.f64 x y) (*.f64 (/.f64 (+.f64 1 x) y) (+.f64 (/.f64 x y) -1))))))
(/.f64 (+.f64 1 x) x)
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 x) y)) (/.f64 1 x)))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 1 x) y) (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 1 x) (/.f64 (+.f64 1 x) y)))
(+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 (-.f64 -1 x) y))
(+.f64 (/.f64 (*.f64 (+.f64 1 x) x) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 x) y)) (/.f64 1 x))))
(+.f64 (+.f64 1 (fma.f64 -1 (/.f64 (+.f64 1 x) y) (/.f64 1 x))) (/.f64 (+.f64 1 x) (/.f64 (*.f64 y y) x)))
(+.f64 1 (+.f64 (-.f64 (/.f64 1 x) (/.f64 (+.f64 1 x) y)) (*.f64 (/.f64 (+.f64 1 x) y) (/.f64 x y))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (fma.f64 x x x) (*.f64 y y)) (-.f64 1 (/.f64 (+.f64 1 x) y))))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 (+.f64 1 x) y) (+.f64 -1 (/.f64 x y)))))
(+.f64 (/.f64 (*.f64 (+.f64 1 x) x) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 1 x)))))
(+.f64 (+.f64 (/.f64 (+.f64 1 x) (/.f64 (*.f64 y y) x)) 1) (fma.f64 -1 (/.f64 (+.f64 1 x) y) (fma.f64 -1 (/.f64 (*.f64 (*.f64 x x) (+.f64 1 x)) (pow.f64 y 3)) (/.f64 1 x))))
(+.f64 1 (+.f64 (-.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 (+.f64 1 x) (pow.f64 y 3)) (*.f64 x x))) (/.f64 (+.f64 1 x) y)) (*.f64 (/.f64 (+.f64 1 x) y) (/.f64 x y))))
(+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (*.f64 (/.f64 (+.f64 1 x) y) (-.f64 -1 (*.f64 x (/.f64 x (*.f64 y y))))) (/.f64 (fma.f64 x x x) (*.f64 y y)))))
(+.f64 1 (+.f64 (/.f64 (-.f64 -1 x) y) (-.f64 (/.f64 1 x) (*.f64 (/.f64 x y) (*.f64 (/.f64 (+.f64 1 x) y) (+.f64 (/.f64 x y) -1))))))
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)
(fma.f64 (*.f64 x x) (+.f64 (/.f64 1 y) -1) x)
(fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) x)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)) (fma.f64 (*.f64 x x) (+.f64 (/.f64 1 y) -1) x))
(fma.f64 (*.f64 x x) (+.f64 (/.f64 1 y) -1) (fma.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)) x))
(+.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 -1 x))))
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) -1) (fma.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)) (fma.f64 (*.f64 x x) (+.f64 (/.f64 1 y) -1) x)))
(fma.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)) (fma.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) -1) (fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) x)))
(+.f64 x (fma.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) -1) (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 -1 x)))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y)))) (+.f64 (/.f64 1 x) (/.f64 1 y)))
(-.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 x) (/.f64 1 y)))
(+.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 -1 y)))) (/.f64 -1 x))
(+.f64 (/.f64 x y) (*.f64 (+.f64 (/.f64 -1 x) 1) (+.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 1 (*.f64 x x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 x y))) (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 x y)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 y)) (/.f64 (/.f64 1 y) (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) (*.f64 x y))))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 x y) (*.f64 (+.f64 (/.f64 -1 x) 1) (+.f64 1 (/.f64 -1 y))))) (/.f64 (/.f64 -1 (*.f64 x y)) x))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 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 x) (/.f64 1 y)))
(-.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 x) (/.f64 1 y)))
(+.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 -1 y)))) (/.f64 -1 x))
(+.f64 (/.f64 x y) (*.f64 (+.f64 (/.f64 -1 x) 1) (+.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 1 (*.f64 x x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 x y))) (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 x y)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 y)) (/.f64 (/.f64 1 y) (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) (*.f64 x y))))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 x y) (*.f64 (+.f64 (/.f64 -1 x) 1) (+.f64 1 (/.f64 -1 y))))) (/.f64 (/.f64 -1 (*.f64 x y)) x))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x)))
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 1 x))
(*.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 1 x)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (/.f64 x (/.f64 y x)) (+.f64 1 x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (/.f64 x (/.f64 y x)) (+.f64 1 x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (/.f64 x (/.f64 y x)) (+.f64 1 x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (/.f64 x (/.f64 y x)) (+.f64 1 x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (/.f64 x (/.f64 y x)) (+.f64 1 x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (/.f64 x (/.f64 y x)) (+.f64 1 x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (/.f64 x (/.f64 y x)) (+.f64 1 x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (/.f64 x (/.f64 y x)) (+.f64 1 x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (/.f64 x (/.f64 y x)) (+.f64 1 x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x)))

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)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 28 to 20 computations (28.6% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite77.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
571×prod-diff_binary64
441×log-prod_binary64
297×pow-prod-down_binary64
285×fma-def_binary64
249×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
120017
2273417
Stop Event
1×node limit
Counts
2 → 155
Calls
Call 1
Inputs
(*.f64 (/.f64 1 y) (+.f64 x -1))
(+.f64 (*.f64 (/.f64 1 y) (+.f64 x -1)) 1)
Outputs
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egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (+.f64 x -1) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 (+.f64 x -1) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (/.f64 (+.f64 x -1) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 (+.f64 x -1) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 (+.f64 x -1) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 x -1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x y) (+.f64 (/.f64 -1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) x (+.f64 (/.f64 -1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (+.f64 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 y) (+.f64 (/.f64 -1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -1) (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x -1) y) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (+.f64 x -1) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) y)) 2) (cbrt.f64 (/.f64 (+.f64 x -1) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) y)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 x -1) y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 y)) (+.f64 (/.f64 -1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (*.f64 (cbrt.f64 (+.f64 x -1)) (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 1 (cbrt.f64 y)) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 1 (cbrt.f64 y)) x) (+.f64 (/.f64 -1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 x -1) y)) (sqrt.f64 (/.f64 (+.f64 x -1) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 x -1) y)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x -1) y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 y)) (+.f64 (/.f64 -1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 (+.f64 x -1) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) x) (+.f64 (/.f64 -1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) (+.f64 (/.f64 -1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (+.f64 (/.f64 -1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x -1)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) 1) (/.f64 (sqrt.f64 (+.f64 x -1)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (+.f64 x -1) (cbrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 x -1) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 x -1)) (cbrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x -1)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1) (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1) (pow.f64 y -1/2)) (pow.f64 y -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (pow.f64 y -1/2) (cbrt.f64 x)) 2) (cbrt.f64 x) (+.f64 (/.f64 -1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 y) (sqrt.f64 x)) (sqrt.f64 x) (+.f64 (/.f64 -1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y)) (+.f64 (/.f64 -1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 y -1/2)) (pow.f64 y -1/2) (+.f64 (/.f64 -1 y) 1))))))

simplify50.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
179×fma-neg_binary64
178×fma-def_binary64
64×cancel-sign-sub-inv_binary64
52×distribute-rgt-in_binary64
39×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014363
124363
232363
351363
478363
5127363
6231363
7331363
8488363
9685363
10921363
111007363
121046363
Stop Event
1×saturated
Counts
203 → 164
Calls
Call 1
Inputs
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 -1 y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (-.f64 x 1) y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
1
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
1
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 1 (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
Outputs
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 -1 y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (-.f64 x 1) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (-.f64 x 1) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (-.f64 x 1) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (-.f64 x 1) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (-.f64 x 1) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (-.f64 x 1) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
1
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
1
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 x 1) y))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓7.6b
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1))
✓9.0b
(/.f64 (*.f64 x x) y)
Compiler

Compiled 25 to 10 computations (60% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite71.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
467×log-prod_binary64
359×exp-prod_binary64
311×pow-prod-down_binary64
233×pow2_binary64
189×div-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
117820
2265120
Stop Event
1×node limit
Counts
2 → 117
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) y)
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) (cbrt.f64 (*.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 x 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 (*.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)) (cbrt.f64 (*.f64 (/.f64 x y) x)))))) (#(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 pow.f64 (*.f64 (/.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (/.f64 x y) x)))))) (#(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 (/.f64 x y) x)) 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 (pow.f64 x -2)) -1)))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) x)) 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 (/.f64 x y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 x -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) x)) 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> 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (*.f64 y (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) x) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 y (+.f64 x 1)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 y (+.f64 x 1)))) 4)) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (*.f64 y (+.f64 x 1)))) (/.f64 x (sqrt.f64 (*.f64 y (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (neg.f64 x)) y) (/.f64 1 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (*.f64 (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> 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y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log.f64 (*.f64 (/.f64 x y) x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 y (+.f64 x 1)))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 y (+.f64 x 1)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (*.f64 y (+.f64 x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x 1) (*.f64 y (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 x 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y (pow.f64 x -2)) (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y (+.f64 x 1)) (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 x 1) (*.f64 y (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 (/.f64 x y) x)) (log1p.f64 x))) 2)) (cbrt.f64 (-.f64 (log.f64 (*.f64 (/.f64 x y) x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (*.f64 (/.f64 x y) x)) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log.f64 (*.f64 (/.f64 x y) x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (/.f64 x y) x) (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 y (+.f64 x 1)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 y (+.f64 x 1)))) 6))))) (#(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 (/.f64 x y) x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 (/.f64 x y) x)) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (*.f64 (/.f64 x y) x)) (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 (*.f64 (/.f64 x y) x)) (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (*.f64 y (+.f64 x 1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (*.f64 (/.f64 x y) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (*.f64 (/.f64 x y) x)) (log1p.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 2) (+.f64 (log1p.f64 x) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (*.f64 2 (log.f64 x)) 1) (+.f64 (log1p.f64 x) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) x)) 1) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (/.f64 x y) x)) (*.f64 (log1p.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) x)) 1) (*.f64 (log1p.f64 x) 1)))))))

simplify73.0ms (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
165 → 134
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) y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 2) y))))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
Outputs
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (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))
(+.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))

eval160.0ms (2.2%)

Compiler

Compiled 8644 to 4949 computations (42.7% saved)

prune89.0ms (1.2%)

Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New5726578
Fresh426
Picked011
Done167
Total57715592
Error
0b
Counts
592 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
✓48.1b
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1))
✓0.1b
(*.f64 (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1))
28.4b
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
53.2b
(/.f64 x (/.f64 y x))
✓45.1b
(/.f64 (-.f64 x 1) y)
✓26.7b
(/.f64 x (+.f64 x 1))
52.4b
1
43.8b
(/.f64 1 (/.f64 (+.f64 x 1) (*.f64 x (/.f64 x y))))
36.8b
x
35.1b
(+.f64 (/.f64 x y) 1)
✓53.2b
(*.f64 x (/.f64 x y))
8.4b
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 x y)) x) (+.f64 x 1))
45.2b
(*.f64 (/.f64 1 y) (+.f64 x -1))
✓35.3b
(+.f64 (*.f64 (/.f64 1 y) (+.f64 x -1)) 1)
✓44.4b
(/.f64 x y)
Compiler

Compiled 132 to 89 computations (32.6% saved)

regimes82.0ms (1.1%)

Counts
37 → 1
Calls
Call 1
Inputs
1
x
1
x
1
x
(/.f64 x y)
(/.f64 x (/.f64 y x))
(+.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) 1)
(*.f64 x (/.f64 x y))
(/.f64 (-.f64 x 1) y)
(/.f64 x (+.f64 x 1))
(/.f64 x (+.f64 x 1))
(*.f64 (/.f64 1 y) (+.f64 x -1))
(+.f64 (/.f64 (-.f64 x 1) y) 1)
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1))
(+.f64 (*.f64 (/.f64 1 y) (+.f64 x -1)) 1)
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1))
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(/.f64 1 (/.f64 (+.f64 x 1) (*.f64 x (/.f64 x y))))
(/.f64 (+.f64 (/.f64 (*.f64 x x) y) x) (+.f64 x 1))
(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x 1))
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
(*.f64 (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
(*.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 1 (+.f64 x 1))))
(+.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))))
(fma.f64 (/.f64 1 y) (-.f64 x 1) 1)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
(/.f64 1 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)))
(/.f64 (*.f64 x (fma.f64 (/.f64 1 y) x 1)) (+.f64 x 1))
(pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -1)
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 x y)) x) (+.f64 x 1))
Outputs
(*.f64 (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1))
Calls

4 calls:

20.0ms
x
19.0ms
y
16.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
16.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
0.1b1(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
Compiler

Compiled 318 to 165 computations (48.1% saved)

regimes61.0ms (0.9%)

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

2 calls:

40.0ms
x
16.0ms
y
Results
ErrorSegmentsBranch
0.1b3x
8.1b1y
Compiler

Compiled 164 to 79 computations (51.8% saved)

bsearch38.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
8766795.636704825
43834224986894050.0
19.0ms
-2954784032016266.0
-243963859682639.4
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes59.0ms (0.8%)

Counts
25 → 3
Calls
Call 1
Inputs
1
x
1
x
1
x
(/.f64 x y)
(/.f64 x (/.f64 y x))
(+.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) 1)
(*.f64 x (/.f64 x y))
(/.f64 (-.f64 x 1) y)
(/.f64 x (+.f64 x 1))
(/.f64 x (+.f64 x 1))
(*.f64 (/.f64 1 y) (+.f64 x -1))
(+.f64 (/.f64 (-.f64 x 1) y) 1)
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1))
(+.f64 (*.f64 (/.f64 1 y) (+.f64 x -1)) 1)
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1))
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(/.f64 1 (/.f64 (+.f64 x 1) (*.f64 x (/.f64 x y))))
(/.f64 (+.f64 (/.f64 (*.f64 x x) y) x) (+.f64 x 1))
(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x 1))
Outputs
(+.f64 (/.f64 (-.f64 x 1) y) 1)
(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x 1))
(+.f64 (/.f64 x y) 1)
Calls

2 calls:

38.0ms
x
16.0ms
y
Results
ErrorSegmentsBranch
0.1b3x
8.1b1y
Compiler

Compiled 153 to 75 computations (51% saved)

bsearch61.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
32.0ms
43834224986894050.0
1.076850786287099e+20
28.0ms
-2954784032016266.0
-243963859682639.4
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes128.0ms (1.8%)

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

2 calls:

85.0ms
y
34.0ms
x
Results
ErrorSegmentsBranch
1.0b3x
10.2b5y
Compiler

Compiled 142 to 71 computations (50% saved)

bsearch39.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
0.0018699366583554077
2.560523019906423
19.0ms
-391764256296.16785
-0.0036717264165645677
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes79.0ms (1.1%)

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

2 calls:

48.0ms
y
27.0ms
x
Results
ErrorSegmentsBranch
9.3b3x
17.8b5y
Compiler

Compiled 93 to 51 computations (45.2% saved)

bsearch37.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
8766795.636704825
43834224986894050.0
19.0ms
-391764256296.16785
-0.0036717264165645677
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes73.0ms (1%)

Counts
15 → 3
Calls
Call 1
Inputs
1
x
1
x
1
x
(/.f64 x y)
(/.f64 x (/.f64 y x))
(+.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) 1)
(*.f64 x (/.f64 x y))
(/.f64 (-.f64 x 1) y)
(/.f64 x (+.f64 x 1))
(/.f64 x (+.f64 x 1))
(*.f64 (/.f64 1 y) (+.f64 x -1))
Outputs
(+.f64 (/.f64 x y) 1)
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x y) 1)
Calls

2 calls:

46.0ms
y
24.0ms
x
Results
ErrorSegmentsBranch
9.4b3x
18.5b6y
Compiler

Compiled 59 to 31 computations (47.5% saved)

bsearch37.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
8766795.636704825
43834224986894050.0
19.0ms
-391764256296.16785
-0.0036717264165645677
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes93.0ms (1.3%)

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

2 calls:

70.0ms
y
19.0ms
x
Results
ErrorSegmentsBranch
10.1b3x
21.8b10y
Compiler

Compiled 42 to 20 computations (52.4% saved)

bsearch38.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
7.234194828708834e-6
0.0018699366583554077
19.0ms
-391764256296.16785
-0.0036717264165645677
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes67.0ms (0.9%)

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

2 calls:

40.0ms
y
25.0ms
x
Results
ErrorSegmentsBranch
18.9b5x
25.4b8y
Compiler

Compiled 22 to 12 computations (45.5% saved)

bsearch100.0ms (1.4%)

Algorithm
4×binary-search
Steps
TimeLeftRight
19.0ms
7.234194828708834e-6
0.0018699366583554077
18.0ms
-391764256296.16785
-0.0036717264165645677
19.0ms
-2.302593520506833e+22
-4.1794028356518275e+20
44.0ms
-1.8896096950867567e+134
-4.622314561484398e+133
Compiler

Compiled 78 to 61 computations (21.8% saved)

regimes28.0ms (0.4%)

Accuracy

Total -34.6b remaining (-126%)

Threshold costs -34.6b (-126%)

Counts
6 → 3
Calls
Call 1
Inputs
1
x
1
x
1
x
Outputs
1
x
1
Calls

2 calls:

14.0ms
x
13.0ms
y
Results
ErrorSegmentsBranch
27.5b3x
33.7b3y
Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch38.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
0.0018699366583554077
2.560523019906423
19.0ms
-243963859682639.4
-24150892708301.707
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify15.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
9×+-commutative_binary64
4×*-commutative_binary64
3×sub-neg_binary64
1×neg-sub0_binary64
1×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058301
174301
278301
380301
481301
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1))
(if (<=.f64 x -2954784032016266) (+.f64 (/.f64 (-.f64 x 1) y) 1) (if (<=.f64 x 1176659392198835/134217728) (/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1)) (+.f64 (/.f64 x y) 1)))
(if (<=.f64 x -2954784032016266) (+.f64 (/.f64 (-.f64 x 1) y) 1) (if (<=.f64 x 43834224986894048) (/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x 1)) (+.f64 (/.f64 x y) 1)))
(if (<=.f64 x -3209332787578207/8192) (+.f64 (/.f64 (-.f64 x 1) y) 1) (if (<=.f64 x 8623560742682465/4611686018427387904) (+.f64 x (*.f64 x (-.f64 (/.f64 x y) x))) (+.f64 (/.f64 (-.f64 x 1) y) 1)))
(if (<=.f64 x -3209332787578207/8192) (+.f64 (/.f64 (-.f64 x 1) y) 1) (if (<=.f64 x 1176659392198835/134217728) (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1)))
(if (<=.f64 x -3209332787578207/8192) (+.f64 (/.f64 x y) 1) (if (<=.f64 x 1176659392198835/134217728) (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1)))
(if (<=.f64 x -3209332787578207/8192) (+.f64 (/.f64 x y) 1) (if (<=.f64 x 4270314898705439/590295810358705651712) x (+.f64 (/.f64 x y) 1)))
(if (<=.f64 x -185000000000000006656695283072465757285179138477205835393961787244443486663174134397285958344918840138200862873130662655128184461197312) (/.f64 x y) (if (<=.f64 x -23025935205068328402944) 1 (if (<=.f64 x -3209332787578207/8192) (/.f64 x y) (if (<=.f64 x 4270314898705439/590295810358705651712) x (/.f64 x y)))))
(if (<=.f64 x -7806843509844461/32) 1 (if (<=.f64 x 8623560742682465/4611686018427387904) x 1))
1
Outputs
(*.f64 (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1))
(*.f64 (/.f64 x (+.f64 x 1)) (+.f64 1 (/.f64 x y)))
(if (<=.f64 x -2954784032016266) (+.f64 (/.f64 (-.f64 x 1) y) 1) (if (<=.f64 x 1176659392198835/134217728) (/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1)) (+.f64 (/.f64 x y) 1)))
(if (<=.f64 x -2954784032016266) (+.f64 1 (/.f64 (+.f64 x -1) y)) (if (<=.f64 x 1176659392198835/134217728) (/.f64 (+.f64 x (*.f64 x (/.f64 x y))) (+.f64 x 1)) (+.f64 1 (/.f64 x y))))
(if (<=.f64 x -2954784032016266) (+.f64 (/.f64 (-.f64 x 1) y) 1) (if (<=.f64 x 43834224986894048) (/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x 1)) (+.f64 (/.f64 x y) 1)))
(if (<=.f64 x -2954784032016266) (+.f64 1 (/.f64 (+.f64 x -1) y)) (if (<=.f64 x 43834224986894048) (/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1)) (+.f64 1 (/.f64 x y))))
(if (<=.f64 x -3209332787578207/8192) (+.f64 (/.f64 (-.f64 x 1) y) 1) (if (<=.f64 x 8623560742682465/4611686018427387904) (+.f64 x (*.f64 x (-.f64 (/.f64 x y) x))) (+.f64 (/.f64 (-.f64 x 1) y) 1)))
(if (<=.f64 x -3209332787578207/8192) (+.f64 1 (/.f64 (+.f64 x -1) y)) (if (<=.f64 x 8623560742682465/4611686018427387904) (+.f64 x (*.f64 x (-.f64 (/.f64 x y) x))) (+.f64 1 (/.f64 (+.f64 x -1) y))))
(if (<=.f64 x -3209332787578207/8192) (+.f64 (/.f64 (-.f64 x 1) y) 1) (if (<=.f64 x 1176659392198835/134217728) (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1)))
(if (<=.f64 x -3209332787578207/8192) (+.f64 1 (/.f64 (+.f64 x -1) y)) (if (<=.f64 x 1176659392198835/134217728) (/.f64 x (+.f64 x 1)) (+.f64 1 (/.f64 x y))))
(if (<=.f64 x -3209332787578207/8192) (+.f64 (/.f64 x y) 1) (if (<=.f64 x 1176659392198835/134217728) (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1)))
(if (<=.f64 x -3209332787578207/8192) (+.f64 1 (/.f64 x y)) (if (<=.f64 x 1176659392198835/134217728) (/.f64 x (+.f64 x 1)) (+.f64 1 (/.f64 x y))))
(if (<=.f64 x -3209332787578207/8192) (+.f64 (/.f64 x y) 1) (if (<=.f64 x 4270314898705439/590295810358705651712) x (+.f64 (/.f64 x y) 1)))
(if (<=.f64 x -3209332787578207/8192) (+.f64 1 (/.f64 x y)) (if (<=.f64 x 4270314898705439/590295810358705651712) x (+.f64 1 (/.f64 x y))))
(if (<=.f64 x -185000000000000006656695283072465757285179138477205835393961787244443486663174134397285958344918840138200862873130662655128184461197312) (/.f64 x y) (if (<=.f64 x -23025935205068328402944) 1 (if (<=.f64 x -3209332787578207/8192) (/.f64 x y) (if (<=.f64 x 4270314898705439/590295810358705651712) x (/.f64 x y)))))
(if (<=.f64 x -7806843509844461/32) 1 (if (<=.f64 x 8623560742682465/4611686018427387904) x 1))
1
Compiler

Compiled 230 to 151 computations (34.3% saved)

soundness295.0ms (4.1%)

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
Compiler

Compiled 54 to 35 computations (35.2% saved)

end99.0ms (1.4%)

Compiler

Compiled 212 to 126 computations (40.6% saved)

Profiling

Loading profile data...