Details

Time bar (total: 7.5s)

analyze119.0ms (1.6%)

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)

sample1.8s (24.3%)

Results
1.6s8256×body256valid
211.0ms619×body256invalid

preprocess122.0ms (1.6%)

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)

simplify79.0ms (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)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
10.3b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶10.3b
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
▶10.3b
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
Compiler

Compiled 25 to 16 computations (36% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x (+.f64 (/.f64 x y) 1))
✓9.6b
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
Compiler

Compiled 34 to 17 computations (50% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite82.0ms (1.1%)

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

Useful iterations: 1 (0.0ms)

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

simplify67.0ms (0.9%)

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

Useful iterations: 4 (0.0ms)

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

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 x (/.f64 x y) x)
✓9.6b
(/.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
x
@-inf
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
1.0ms
y
@-inf
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
0.0ms
y
@inf
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
0.0ms
y
@0
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))

rewrite77.0ms (1%)

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

Useful iterations: 0 (0.0ms)

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

simplify67.0ms (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)))

eval75.0ms (1%)

Compiler

Compiled 4627 to 2166 computations (53.2% saved)

prune53.0ms (0.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New26311274
Fresh000
Picked101
Done011
Total26412276
Error
0.0b
Counts
276 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
▶10.3b
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
28.2b
(/.f64 x (+.f64 x 1))
17.6b
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) x) (+.f64 (/.f64 x y) -1)) (+.f64 x 1))
▶33.0b
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
38.2b
x
21.3b
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) x) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))) (+.f64 x 1))
▶42.0b
(/.f64 x y)
▶44.9b
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
44.2b
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
▶0.1b
(*.f64 (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1))
32.5b
(+.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))))
✓10.3b
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
Compiler

Compiled 288 to 193 computations (33% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 32 to 17 computations (46.9% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite109.0ms (1.5%)

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

Useful iterations: 2 (0.0ms)

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

simplify94.0ms (1.3%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
067637
1194633
2572555
32438517
47440517
Stop Event
1×node limit
Counts
176 → 176
Calls
Call 1
Inputs
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1))))) (/.f64 1 x))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
Outputs
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)
(fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) x)
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x))
(+.f64 x (*.f64 x (*.f64 (+.f64 (/.f64 1 y) -1) (fma.f64 x (neg.f64 x) x))))
(+.f64 x (*.f64 x (*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x (-.f64 1 x)))))
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x)))
(+.f64 x (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 1 y) -1) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1)))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y)))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) (/.f64 (+.f64 1 (/.f64 -1 y)) x))
(-.f64 1 (+.f64 (-.f64 (/.f64 1 y) (/.f64 x y)) (/.f64 (+.f64 1 (/.f64 -1 y)) x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y)))))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)) (+.f64 (/.f64 1 y) (/.f64 1 x))))))
(+.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) (*.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 (+.f64 (/.f64 1 y) -1) x)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y)))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) (/.f64 (+.f64 1 (/.f64 -1 y)) x))
(-.f64 1 (+.f64 (-.f64 (/.f64 1 y) (/.f64 x y)) (/.f64 (+.f64 1 (/.f64 -1 y)) x)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1))))) (/.f64 1 x))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y)))))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)) (+.f64 (/.f64 1 y) (/.f64 1 x))))))
(+.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) (*.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 (+.f64 (/.f64 1 y) -1) x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(*.f64 x (-.f64 1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(+.f64 x (*.f64 (*.f64 x x) (+.f64 -1 x)))
(fma.f64 (*.f64 x x) (+.f64 x -1) x)
(*.f64 x (-.f64 (fma.f64 x x 1) x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (+.f64 x (pow.f64 x 3))))
(-.f64 (-.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)) (*.f64 x x))
(-.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(*.f64 (fma.f64 x x 1) (fma.f64 x (neg.f64 x) x))
(*.f64 (fma.f64 x x 1) (*.f64 x (-.f64 1 x)))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))) (/.f64 (/.f64 -1 x) x)))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))) (/.f64 (/.f64 -1 x) x)))

localize6.0ms (0.1%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize17.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 25 to 13 computations (48% saved)

series4.0ms (0.1%)

Counts
1 → 9
Calls

6 calls:

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

rewrite100.0ms (1.3%)

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

Useful iterations: 1 (0.0ms)

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

simplify37.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x (/.f64 x y))
✓9.6b
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
Compiler

Compiled 34 to 11 computations (67.6% saved)

series9.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
1.0ms
y
@0
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
1.0ms
x
@0
(*.f64 x (/.f64 x y))
1.0ms
y
@inf
(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
1.0ms
x
@inf
(*.f64 x (/.f64 x y))

rewrite70.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

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

simplify66.0ms (0.9%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
057663
1156663
2444607
31896571
46690567
Stop Event
1×node limit
Counts
123 → 99
Calls
Call 1
Inputs
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x)))) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x))))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
Outputs
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)
(fma.f64 x (+.f64 (/.f64 x y) (neg.f64 x)) x)
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x))
(+.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))))
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x)))
(+.f64 (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x) (*.f64 (+.f64 (/.f64 x y) (neg.f64 x)) (+.f64 x (pow.f64 x 3))))
(+.f64 (fma.f64 (*.f64 x x) (-.f64 x (/.f64 x y)) x) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x (pow.f64 x 3))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(-.f64 1 (-.f64 (/.f64 1 y) (/.f64 x y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 -1 x) (/.f64 1 y)))))
(+.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))))
(+.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 (*.f64 x x)))) (-.f64 1 (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 -1 x) (/.f64 1 y))) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 1 (*.f64 x (*.f64 x y)))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) (+.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 -1 (*.f64 x (*.f64 x y)))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(-.f64 1 (-.f64 (/.f64 1 y) (/.f64 x y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x)))) (/.f64 1 y))
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 -1 x) (/.f64 1 y)))))
(+.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x))))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))))
(+.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 (*.f64 x x)))) (-.f64 1 (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 -1 x) (/.f64 1 y))) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 1 (*.f64 x (*.f64 x y)))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) (+.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 -1 (*.f64 x (*.f64 x y)))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 x 2)
✓17.6b
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
Compiler

Compiled 26 to 17 computations (34.6% saved)

series5.0ms (0.1%)

Counts
2 → 12
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@0
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
1.0ms
x
@0
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
0.0ms
x
@-inf
(pow.f64 x 2)
0.0ms
y
@-inf
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
0.0ms
x
@inf
(pow.f64 x 2)

rewrite83.0ms (1.1%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
0917
119817
2268015
Stop Event
1×node limit
Counts
2 → 80
Calls
Call 1
Inputs
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(pow.f64 x 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (/.f64 (fma.f64 x y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 x y y) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (fma.f64 x y y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (/.f64 1 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (/.f64 (fma.f64 x y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (fma.f64 x y y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) 4)) (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) (/.f64 x (sqrt.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x y y)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 y x)) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (*.f64 x x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 x) x) y) (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 x) x) 1) (/.f64 (cbrt.f64 (*.f64 x x)) (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 x) x) (+.f64 x 1)) (/.f64 (cbrt.f64 (*.f64 x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x y y)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x y y)) -2) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 (fma.f64 x y y)) 2)) (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x y y) -1/2) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 x) x) (sqrt.f64 (fma.f64 x y y))) (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (/.f64 y x)) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (/.f64 y x)) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (fma.f64 x y y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x y y) (pow.f64 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x y y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 x y y) (pow.f64 x -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 x y y) x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 x y y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))))) (sqrt.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 x y y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (fma.f64 x y y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x y y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x y y) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x y y) (pow.f64 x -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 x y y) x))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) x) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x x)) 1) 1))))))

simplify82.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
716×times-frac_binary64
594×fma-def_binary64
566×fma-neg_binary64
504×cancel-sign-sub-inv_binary64
456×associate-/r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035214
190210
2215210
3552201
41805189
57278189
Stop Event
1×node limit
Counts
92 → 95
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)))))
Outputs
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (*.f64 x x) y) (/.f64 (pow.f64 x 3) y))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y)) (/.f64 (pow.f64 x 4) y))
(+.f64 (-.f64 (/.f64 (*.f64 x x) y) (/.f64 (pow.f64 x 3) 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) (-.f64 x (*.f64 x x))) (/.f64 (pow.f64 x 4) y))
(*.f64 (/.f64 x y) (-.f64 (pow.f64 x 3) (-.f64 (*.f64 x x) x)))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 2) y))))
(+.f64 (/.f64 (pow.f64 x 4) y) (fma.f64 -1 (/.f64 (pow.f64 x 3) y) (fma.f64 -1 (/.f64 (pow.f64 x 5) y) (/.f64 (*.f64 x x) y))))
(+.f64 (/.f64 (pow.f64 x 4) y) (-.f64 (-.f64 (/.f64 (*.f64 x x) y) (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 3) y)))
(+.f64 (/.f64 (pow.f64 x 4) y) (-.f64 (/.f64 (*.f64 x x) y) (+.f64 (/.f64 (pow.f64 x 3) y) (/.f64 (pow.f64 x 5) y))))
(-.f64 (*.f64 (/.f64 x y) (-.f64 x (*.f64 x x))) (-.f64 (/.f64 (pow.f64 x 5) y) (/.f64 (pow.f64 x 4) y)))
(-.f64 (*.f64 (/.f64 x y) (-.f64 (pow.f64 x 3) (-.f64 (*.f64 x x) x))) (/.f64 (pow.f64 x 5) y))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 x y) (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 -1 y)) (/.f64 1 (*.f64 x y)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 -1 y)))
(-.f64 (/.f64 (/.f64 1 x) y) (-.f64 (/.f64 1 y) (/.f64 x y)))
(+.f64 (-.f64 (/.f64 x y) (/.f64 1 y)) (/.f64 1 (*.f64 x y)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.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 (*.f64 x x) y)) (-.f64 (/.f64 (/.f64 1 x) y) (/.f64 1 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 x y) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 -1 y)))
(-.f64 (/.f64 (/.f64 1 x) y) (-.f64 (/.f64 1 y) (/.f64 x y)))
(+.f64 (-.f64 (/.f64 x y) (/.f64 1 y)) (/.f64 1 (*.f64 x y)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.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 (*.f64 x x) y)) (-.f64 (/.f64 (/.f64 1 x) y) (/.f64 1 y))))
(+.f64 (-.f64 (/.f64 x y) (/.f64 1 y)) (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 1 (*.f64 x y))))

eval252.0ms (3.4%)

Compiler

Compiled 8639 to 4859 computations (43.8% saved)

prune121.0ms (1.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New52010530
Fresh426
Picked101
Done415
Total52913542
Error
0b
Counts
542 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
▶42.4b
(-.f64 (/.f64 x y) (/.f64 1 y))
▶0.4b
(/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (+.f64 x 1) x))
▶54.1b
(*.f64 x (/.f64 x y))
52.5b
1
33.9b
(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))
33.0b
(+.f64 (/.f64 (-.f64 x 1) y) 1)
▶42.4b
(/.f64 (-.f64 x 1) y)
▶44.9b
(/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x)))
38.2b
x
✓42.0b
(/.f64 x y)
10.3b
(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x 1))
28.2b
(/.f64 x (+.f64 x 1))
17.6b
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) x) (+.f64 (/.f64 x y) -1)) (+.f64 x 1))
Compiler

Compiled 227 to 152 computations (33% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 x 1) x)
✓0.4b
(/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (+.f64 x 1) x))
Compiler

Compiled 32 to 17 computations (46.9% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite71.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
576×log-prod_binary64
418×prod-diff_binary64
293×fma-def_binary64
281×pow2_binary64
243×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
120923
2327623
Stop Event
1×node limit
Counts
2 → 88
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (+.f64 x 1) x))
(/.f64 (+.f64 x 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 x y))) (/.f64 x (+.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 x y))) (/.f64 x (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 x y))) (/.f64 x (+.f64 1 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 x y))) (/.f64 x (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)))) 2) (cbrt.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)))) (sqrt.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (/.f64 x y)) -1) (/.f64 1 (/.f64 (fma.f64 -1 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 x)) (+.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) 1) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) (+.f64 1 x)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2)) (/.f64 (+.f64 1 (/.f64 x y)) (cbrt.f64 (/.f64 (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2)) (cbrt.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (cbrt.f64 (/.f64 (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) x))) (/.f64 (+.f64 1 (/.f64 x y)) (sqrt.f64 (/.f64 (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) (sqrt.f64 (/.f64 (+.f64 1 x) x))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) (sqrt.f64 (/.f64 (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (/.f64 x y)) 1) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (/.f64 x y)) (fma.f64 -1 x -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) (*.f64 (+.f64 1 (/.f64 x y)) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 1 x) (*.f64 (+.f64 1 (/.f64 x y)) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (fma.f64 -1 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 x y))) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (/.f64 x y)) (-.f64 (log.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 x y)) (-.f64 (log.f64 x) (log1p.f64 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) (sqrt.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1 x -1) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (+.f64 1 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1))))))

simplify60.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
655×associate--l+_binary64
653×associate-+l-_binary64
508×unsub-neg_binary64
420×+-commutative_binary64
362×associate--r+_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
055564
1153564
2446490
32044461
47604455
Stop Event
1×node limit
Counts
124 → 114
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)))
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
Outputs
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)
(fma.f64 x (+.f64 (/.f64 x y) (neg.f64 x)) x)
(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 -1 x)))))
(+.f64 x (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 1 y) -1) (*.f64 (-.f64 (/.f64 x y) x) (+.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 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 1 (-.f64 (/.f64 x y) (/.f64 1 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 1 (*.f64 x y)) (-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y)))))))
(+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (+.f64 (/.f64 x y) (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)) (+.f64 (/.f64 1 y) (/.f64 1 x)))) 1))
(+.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) (*.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 (+.f64 (/.f64 1 y) -1) x)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y)))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (+.f64 1 (/.f64 -1 y)) (-.f64 (/.f64 x y) (/.f64 1 x))))
(+.f64 (+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y))) (/.f64 (+.f64 (/.f64 1 y) -1) x))
(+.f64 1 (-.f64 (+.f64 (/.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 1 (*.f64 x y)) (-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y)))))))
(+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (+.f64 (/.f64 x y) (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)) (+.f64 (/.f64 1 y) (/.f64 1 x)))) 1))
(+.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) (*.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 (+.f64 (/.f64 1 y) -1) x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1))
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 4 computations (66.7% saved)

localize5.0ms (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)

series3.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite62.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

simplify27.0ms (0.4%)

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

Useful iterations: 10 (0.0ms)

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts
1 → 15
Calls

6 calls:

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

rewrite63.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11597
224327
Stop Event
1×node limit
Counts
1 → 56
Calls
Call 1
Inputs
(-.f64 (/.f64 x y) (/.f64 1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (*.f64 (/.f64 -1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x 1) y) (fma.f64 (/.f64 -1 y) 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x 1) y) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 y))) (cbrt.f64 (pow.f64 y -2)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x 1) y) (fma.f64 (neg.f64 (pow.f64 y -1/2)) (pow.f64 y -1/2) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x 1) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x 1) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x 1) y)) 2) (cbrt.f64 (/.f64 (-.f64 x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x 1) y)) (sqrt.f64 (/.f64 (-.f64 x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x y) y) (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x 1) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (pow.f64 y -2) (*.f64 x (pow.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 y -2)) (/.f64 1 (+.f64 (/.f64 x y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 y -1/2)) (-.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y y) (-.f64 (*.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (pow.f64 y -2) (*.f64 x (pow.f64 y -2)))) (-.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 x y) (/.f64 1 y)) (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x y) y) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3)) (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (pow.f64 y -2) (*.f64 x (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 y -2)) (+.f64 (/.f64 x y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x y) y)) (neg.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x 1)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3))) (neg.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (pow.f64 y -2) (*.f64 x (pow.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 y -2))) (neg.f64 (+.f64 (/.f64 x y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 y (*.f64 (/.f64 y x) 1)) (*.f64 (/.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 y -1)) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 y) (*.f64 (/.f64 y x) -1)) (*.f64 (/.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) -1)) (*.f64 (neg.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 x) -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (/.f64 -1 y) 3)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 (*.f64 (/.f64 -1 y) (/.f64 -1 y)) (*.f64 (/.f64 x y) (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (*.f64 (/.f64 -1 y) (/.f64 -1 y))) (-.f64 (/.f64 x y) (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 x y) y) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x 1) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x 1) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x 1) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x 1) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x 1) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x 1) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x 1) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x 1) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 y) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x y) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (/.f64 -1 y))))))

simplify22.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓17.6b
(/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x)))
Compiler

Compiled 25 to 13 computations (48% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite66.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
493×log-prod_binary64
401×prod-diff_binary64
380×exp-prod_binary64
326×pow-prod-down_binary64
233×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0813
117913
2274211
Stop Event
1×node limit
Counts
1 → 58
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x (fma.f64 x y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (fma.f64 x y y))) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (fma.f64 x y y))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x (fma.f64 x y y))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x (fma.f64 x y y))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 (fma.f64 x y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (/.f64 1 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x (fma.f64 x y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x)) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) 4)) (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) (/.f64 x (sqrt.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x y y)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) y) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (*.f64 x x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 x) x) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x y y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 x) x) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (*.f64 x x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 x) x) (+.f64 x 1)) (/.f64 (pow.f64 (cbrt.f64 x) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x y y)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x y y)) -2) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 (fma.f64 x y y)) 2)) (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x y y) -1/2) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 x) x) (sqrt.f64 (fma.f64 x y y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 x x) y) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 x x) y) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x y y) (pow.f64 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x y y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 x y y) (pow.f64 x -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x)))) (sqrt.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x (fma.f64 x y y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x y y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x y y) (pow.f64 x -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x)) 1) 1))))))

simplify71.0ms (0.9%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
038370
1101366
2237342
3727329
43734321
57021321
Stop Event
1×node limit
Counts
82 → 75
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))

eval83.0ms (1.1%)

Compiler

Compiled 4156 to 2268 computations (45.4% saved)

prune56.0ms (0.8%)

Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New3116317
Fresh257
Picked101
Done145
Total31515330
Error
0b
Counts
330 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
42.5b
(*.f64 (/.f64 1 y) (-.f64 x 1))
✓42.4b
(-.f64 (/.f64 x y) (/.f64 1 y))
33.9b
(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))
54.1b
(/.f64 x (/.f64 y x))
✓54.1b
(*.f64 x (/.f64 x y))
52.5b
1
▶55.7b
(/.f64 (*.f64 x x) y)
✓42.4b
(/.f64 (-.f64 x 1) y)
▶32.9b
(/.f64 (+.f64 1 (/.f64 x y)) 1)
38.2b
x
✓42.0b
(/.f64 x y)
▶10.3b
(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x 1))
▶28.2b
(/.f64 x (+.f64 x 1))
▶30.9b
(/.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 x))
17.6b
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) x) (+.f64 (/.f64 x y) -1)) (+.f64 x 1))
Compiler

Compiled 224 to 151 computations (32.6% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 x (/.f64 y x))
✓9.6b
(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x 1))
Compiler

Compiled 34 to 11 computations (67.6% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite76.0ms (1%)

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

Useful iterations: 1 (0.0ms)

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

simplify82.0ms (1.1%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
057663
1156663
2444607
31896571
46690567
Stop Event
1×node limit
Counts
134 → 109
Calls
Call 1
Inputs
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x)))) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x))))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
Outputs
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)
(fma.f64 x (+.f64 (/.f64 x y) (neg.f64 x)) x)
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x))
(+.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))))
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x)))
(+.f64 (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x) (*.f64 (+.f64 (/.f64 x y) (neg.f64 x)) (+.f64 x (pow.f64 x 3))))
(+.f64 (fma.f64 (*.f64 x x) (-.f64 x (/.f64 x y)) x) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x (pow.f64 x 3))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(-.f64 1 (-.f64 (/.f64 1 y) (/.f64 x y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 -1 x) (/.f64 1 y)))))
(+.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))))
(+.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 (*.f64 x x)))) (-.f64 1 (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 -1 x) (/.f64 1 y))) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 1 (*.f64 x (*.f64 x y)))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) (+.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 -1 (*.f64 x (*.f64 x y)))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(-.f64 1 (-.f64 (/.f64 1 y) (/.f64 x y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x)))) (/.f64 1 y))
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 -1 x) (/.f64 1 y)))))
(+.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x))))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))))
(+.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 (*.f64 x x)))) (-.f64 1 (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 -1 x) (/.f64 1 y))) (/.f64 1 (*.f64 x (*.f64 x y))))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 1 (*.f64 x (*.f64 x y)))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) (+.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 -1 (*.f64 x (*.f64 x y)))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 8 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓8.5b
(/.f64 (*.f64 x x) y)
Compiler

Compiled 12 to 4 computations (66.7% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite80.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
567×pow1_binary64
527×add-log-exp_binary64
527×log1p-expm1-u_binary64
527×expm1-log1p-u_binary64
513×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11067
214467
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) 2) (cbrt.f64 (*.f64 (/.f64 x y) x)))))) (#(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 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 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 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 x x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (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 (pow.f64 (*.f64 (/.f64 x y) x) 3) 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 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) x) 3))))) (#(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)))))))

simplify150.0ms (2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
111168
220168
337168
483168
5266168
61091168
73478168
84280168
94465168
104681168
115028168
125456168
135935168
146584168
157273168
Stop Event
1×node limit
Counts
56 → 34
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)
Outputs
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))

localize15.0ms (0.2%)

Compiler

Compiled 20 to 10 computations (50% saved)

localize20.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 x))
Compiler

Compiled 25 to 13 computations (48% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite89.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
440×log-prod_binary64
345×exp-prod_binary64
325×prod-diff_binary64
268×pow-prod-down_binary64
228×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0813
118010
2256710
Stop Event
1×node limit
Counts
1 → 59
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 x y))) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 x y))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 x y))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 x y))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 1 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 1 (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1 (/.f64 x y)))) 2) (cbrt.f64 (*.f64 x (+.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 1 (/.f64 x y)))) (sqrt.f64 (*.f64 x (+.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (/.f64 x y)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 (/.f64 x y))) (/.f64 1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) 1) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) -2) (/.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (*.f64 x (+.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (cbrt.f64 (pow.f64 x -2))) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (/.f64 x y)) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (/.f64 x y)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (/.f64 x y)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 1 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (+.f64 (log1p.f64 (/.f64 x y)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 1 (/.f64 x y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 1 (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 1 (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 1 (/.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 x (+.f64 1 (/.f64 x y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 3) (pow.f64 x -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (*.f64 x (+.f64 1 (/.f64 x y)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (/.f64 x y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 (/.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (/.f64 x y)) (log.f64 x))) 2)) (cbrt.f64 (+.f64 (log1p.f64 (/.f64 x y)) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 (/.f64 x y)) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 (/.f64 x y)) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (/.f64 x y)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 1 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 x y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 1 (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 3) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (/.f64 x y)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 x y)) (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (+.f64 (log1p.f64 (/.f64 x y)) (log.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (+.f64 (log1p.f64 (/.f64 x y)) (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (+.f64 (log1p.f64 (/.f64 x y)) (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 x)) (log1p.f64 (/.f64 x y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 x y)) (log.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log1p.f64 (/.f64 x y)) 1) (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (/.f64 x y)) (*.f64 (log.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log1p.f64 (/.f64 x y)) 1) (*.f64 (log.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (/.f64 x y)) (*.f64 (neg.f64 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log1p.f64 (/.f64 x y)) 1) (*.f64 (neg.f64 (log.f64 x)) 1)))))))

simplify129.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1365×fma-def_binary64
434×unswap-sqr_binary64
423×associate-*r/_binary64
392×associate-/r*_binary64
389×associate-/r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
08204
113204
222204
340168
489168
5296168
61247168
74103168
85649168
96272168
106521168
116922168
127405168
137982168
Stop Event
1×node limit
Counts
83 → 65
Calls
Call 1
Inputs
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(/.f64 (pow.f64 x 2) y)
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 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 (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))
(fma.f64 (/.f64 x y) x x)
(fma.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))
(fma.f64 (/.f64 x y) x x)
(fma.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))
(fma.f64 (/.f64 x y) x x)
(fma.f64 x (/.f64 x y) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 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))
(fma.f64 (/.f64 x y) x x)
(fma.f64 x (/.f64 x y) x)
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(fma.f64 (/.f64 x y) x x)
(fma.f64 x (/.f64 x y) x)
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(fma.f64 (/.f64 x y) x x)
(fma.f64 x (/.f64 x y) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 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))
(fma.f64 (/.f64 x y) x x)
(fma.f64 x (/.f64 x y) x)
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(fma.f64 (/.f64 x y) x x)
(fma.f64 x (/.f64 x y) x)
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(fma.f64 (/.f64 x y) x x)
(fma.f64 x (/.f64 x y) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 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))
(fma.f64 (/.f64 x y) x x)
(fma.f64 x (/.f64 x y) x)
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(fma.f64 (/.f64 x y) x x)
(fma.f64 x (/.f64 x y) x)
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(fma.f64 (/.f64 x y) x x)
(fma.f64 x (/.f64 x y) x)
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(fma.f64 (/.f64 x y) x x)
(fma.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))
(fma.f64 (/.f64 x y) x x)
(fma.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))
(fma.f64 (/.f64 x y) x x)
(fma.f64 x (/.f64 x y) x)
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 x y) x))
(fma.f64 (/.f64 x y) x x)
(fma.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))
(fma.f64 (/.f64 x y) x x)
(fma.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))
(fma.f64 (/.f64 x y) x x)
(fma.f64 x (/.f64 x y) x)

eval115.0ms (1.5%)

Compiler

Compiled 3426 to 1775 computations (48.2% saved)

prune80.0ms (1.1%)

Pruning

17 alts after pruning (8 fresh and 9 done)

PrunedKeptTotal
New2622264
Fresh066
Picked011
Done088
Total26217279
Error
0b
Counts
279 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
42.5b
(*.f64 (/.f64 1 y) (-.f64 x 1))
✓42.4b
(-.f64 (/.f64 x y) (/.f64 1 y))
30.6b
(*.f64 (+.f64 1 (/.f64 x y)) x)
33.9b
(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))
54.1b
(/.f64 x (/.f64 y x))
✓54.1b
(*.f64 x (/.f64 x y))
52.5b
1
✓55.7b
(/.f64 (*.f64 x x) y)
✓42.4b
(/.f64 (-.f64 x 1) y)
✓32.9b
(/.f64 (+.f64 1 (/.f64 x y)) 1)
38.2b
x
✓42.0b
(/.f64 x y)
55.7b
(*.f64 (/.f64 1 y) (*.f64 x x))
✓10.3b
(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x 1))
✓28.2b
(/.f64 x (+.f64 x 1))
✓30.9b
(/.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 x))
17.6b
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) x) (+.f64 (/.f64 x y) -1)) (+.f64 x 1))
Compiler

Compiled 147 to 99 computations (32.7% saved)

regimes140.0ms (1.9%)

Counts
31 → 1
Calls
Call 1
Inputs
1
x
(/.f64 x y)
(/.f64 x (/.f64 y x))
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (-.f64 x 1) y)
(/.f64 x (+.f64 x 1))
(/.f64 x (+.f64 x 1))
(*.f64 (+.f64 1 (/.f64 x y)) x)
(*.f64 (/.f64 1 y) (*.f64 x x))
(*.f64 (/.f64 1 y) (-.f64 x 1))
(/.f64 (+.f64 1 (/.f64 x y)) 1)
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 (-.f64 x 1) y) 1)
(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))
(/.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 x))
(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
(/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (+.f64 x 1) x))
(/.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 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) x) (+.f64 (/.f64 x y) -1)) (+.f64 x 1))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) x) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))) (+.f64 x 1))
Outputs
(*.f64 (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1))
Calls

4 calls:

34.0ms
y
33.0ms
x
29.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
28.0ms
(/.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 298 to 158 computations (47% saved)

regimes465.0ms (6.2%)

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

2 calls:

427.0ms
y
28.0ms
x
Results
ErrorSegmentsBranch
0.4b1x
0.4b1y
Compiler

Compiled 172 to 84 computations (51.2% saved)

regimes184.0ms (2.5%)

Counts
21 → 3
Calls
Call 1
Inputs
1
x
(/.f64 x y)
(/.f64 x (/.f64 y x))
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (-.f64 x 1) y)
(/.f64 x (+.f64 x 1))
(/.f64 x (+.f64 x 1))
(*.f64 (+.f64 1 (/.f64 x y)) x)
(*.f64 (/.f64 1 y) (*.f64 x x))
(*.f64 (/.f64 1 y) (-.f64 x 1))
(/.f64 (+.f64 1 (/.f64 x y)) 1)
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 (-.f64 x 1) y) 1)
(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))
(/.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 x))
(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))
(/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
Outputs
(+.f64 (/.f64 (-.f64 x 1) y) 1)
(*.f64 (+.f64 1 (/.f64 x y)) x)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
Calls

2 calls:

109.0ms
y
66.0ms
x
Results
ErrorSegmentsBranch
1.3b3x
13.4b5y
Compiler

Compiled 139 to 70 computations (49.6% saved)

bsearch76.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
37.0ms
4.680103889293689e-6
145833.86116618643
38.0ms
-145.44762207373262
-0.10212425355022259
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes174.0ms (2.3%)

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

2 calls:

102.0ms
y
64.0ms
x
Results
ErrorSegmentsBranch
1.3b3x
13.4b5y
Compiler

Compiled 121 to 62 computations (48.8% saved)

bsearch51.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
4.680103889293689e-6
145833.86116618643
31.0ms
-145.44762207373262
-0.10212425355022259
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes70.0ms (0.9%)

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

2 calls:

43.0ms
y
24.0ms
x
Results
ErrorSegmentsBranch
1.5b3x
15.2b5y
Compiler

Compiled 78 to 40 computations (48.7% saved)

bsearch41.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
4.680103889293689e-6
145833.86116618643
21.0ms
-145.44762207373262
-0.10212425355022259
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes69.0ms (0.9%)

Counts
12 → 4
Calls
Call 1
Inputs
1
x
(/.f64 x y)
(/.f64 x (/.f64 y x))
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (-.f64 x 1) y)
(/.f64 x (+.f64 x 1))
(/.f64 x (+.f64 x 1))
(*.f64 (+.f64 1 (/.f64 x y)) x)
(*.f64 (/.f64 1 y) (*.f64 x x))
(*.f64 (/.f64 1 y) (-.f64 x 1))
Outputs
(/.f64 x y)
(/.f64 x (+.f64 x 1))
(*.f64 (+.f64 1 (/.f64 x y)) x)
(/.f64 (-.f64 x 1) y)
Calls

2 calls:

39.0ms
y
27.0ms
x
Results
ErrorSegmentsBranch
9.9b4x
15.5b5y
Compiler

Compiled 64 to 33 computations (48.4% saved)

bsearch61.0ms (0.8%)

Algorithm
3×binary-search
Steps
TimeLeftRight
20.0ms
4.680103889293689e-6
145833.86116618643
20.0ms
-3.154475503618697e-8
-4.6925646308736895e-17
20.0ms
-898395338016137000.0
-533130845138881.3
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes69.0ms (0.9%)

Counts
9 → 5
Calls
Call 1
Inputs
1
x
(/.f64 x y)
(/.f64 x (/.f64 y x))
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (-.f64 x 1) y)
(/.f64 x (+.f64 x 1))
(/.f64 x (+.f64 x 1))
Outputs
(/.f64 x y)
(/.f64 x (+.f64 x 1))
(/.f64 x (/.f64 y x))
(/.f64 x (+.f64 x 1))
(/.f64 x y)
Calls

2 calls:

36.0ms
y
30.0ms
x
Results
ErrorSegmentsBranch
16.0b5x
17.9b6y
Compiler

Compiled 43 to 22 computations (48.8% saved)

bsearch146.0ms (2%)

Algorithm
4×binary-search
Steps
TimeLeftRight
84.0ms
5.432496940205923e+70
1.2738671336804938e+71
20.0ms
-1.5731849930078254e-59
-1.5612886725260498e-62
20.0ms
-2.2806669886895275e-23
-1.3363672948443478e-25
21.0ms
-898395338016137000.0
-533130845138881.3
Compiler

Compiled 88 to 63 computations (28.4% saved)

regimes57.0ms (0.8%)

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

2 calls:

31.0ms
y
24.0ms
x
Results
ErrorSegmentsBranch
17.7b5x
26.1b7y
Compiler

Compiled 33 to 16 computations (51.5% saved)

bsearch144.0ms (1.9%)

Algorithm
4×binary-search
Steps
TimeLeftRight
83.0ms
5.432496940205923e+70
1.2738671336804938e+71
20.0ms
9.163755937181652e+52
3.7028772418974887e+56
20.0ms
4.680103889293689e-6
145833.86116618643
20.0ms
-145.44762207373262
-0.10212425355022259
Compiler

Compiled 68 to 53 computations (22.1% saved)

regimes69.0ms (0.9%)

Counts
6 → 3
Calls
Call 1
Inputs
1
x
(/.f64 x y)
(/.f64 x (/.f64 y x))
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
Outputs
(/.f64 x y)
x
(/.f64 x y)
Calls

2 calls:

38.0ms
y
30.0ms
x
Results
ErrorSegmentsBranch
19.0b3x
26.1b7y
Compiler

Compiled 28 to 13 computations (53.6% saved)

bsearch78.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
39.0ms
4.680103889293689e-6
145833.86116618643
39.0ms
-145.44762207373262
-0.10212425355022259
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes41.0ms (0.6%)

Accuracy

Total -33.1b remaining (-114.4%)

Threshold costs -33.1b (-114.4%)

Counts
2 → 3
Calls
Call 1
Inputs
1
x
Outputs
1
x
1
Calls

2 calls:

26.0ms
x
14.0ms
y
Results
ErrorSegmentsBranch
29.0b3x
36.5b2y
Compiler

Compiled 10 to 7 computations (30% saved)

bsearch78.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
39.0ms
938589.368396747
130900458484441.92
39.0ms
-145.44762207373262
-0.10212425355022259
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify31.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
6×+-commutative_binary64
3×*-commutative_binary64
3×sub-neg_binary64
1×distribute-neg-frac_binary64
1×/-rgt-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061335
176335
281335
383335
484335
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1))
(/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (+.f64 x 1) x))
(if (<=.f64 x -5117483254478023/35184372088832) (+.f64 (/.f64 (-.f64 x 1) y) 1) (if (<=.f64 x 690661429473387/147573952589676412928) (*.f64 (+.f64 1 (/.f64 x y)) x) (-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))))
(if (<=.f64 x -5117483254478023/35184372088832) (+.f64 (/.f64 (-.f64 x 1) y) 1) (if (<=.f64 x 690661429473387/147573952589676412928) (*.f64 (+.f64 1 (/.f64 x y)) x) (+.f64 (/.f64 (-.f64 x 1) y) 1)))
(if (<=.f64 x -5117483254478023/35184372088832) (/.f64 (+.f64 1 (/.f64 x y)) 1) (if (<=.f64 x 690661429473387/147573952589676412928) (*.f64 (+.f64 1 (/.f64 x y)) x) (/.f64 (+.f64 1 (/.f64 x y)) 1)))
(if (<=.f64 x -898395338016136960) (/.f64 x y) (if (<=.f64 x -4766908604583129/151115727451828646838272) (/.f64 x (+.f64 x 1)) (if (<=.f64 x 690661429473387/147573952589676412928) (*.f64 (+.f64 1 (/.f64 x y)) x) (/.f64 (-.f64 x 1) y))))
(if (<=.f64 x -898395338016136960) (/.f64 x y) (if (<=.f64 x -15157632052143/664613997892457936451903530140172288) (/.f64 x (+.f64 x 1)) (if (<=.f64 x -7115717855358155/452312848583266388373324160190187140051835877600158453279131187530910662656) (/.f64 x (/.f64 y x)) (if (<=.f64 x 124999999999999992975226368599321378007153016127568816443015486507057152) (/.f64 x (+.f64 x 1)) (/.f64 x y)))))
(if (<=.f64 x -5117483254478023/35184372088832) (/.f64 (-.f64 x 1) y) (if (<=.f64 x 690661429473387/147573952589676412928) x (if (<=.f64 x 91637559371816518869539319089025458678297772544753664) (/.f64 (-.f64 x 1) y) (if (<=.f64 x 124999999999999992975226368599321378007153016127568816443015486507057152) 1 (/.f64 x y)))))
(if (<=.f64 x -5117483254478023/35184372088832) (/.f64 x y) (if (<=.f64 x 690661429473387/147573952589676412928) x (/.f64 x y)))
(if (<=.f64 x -5117483254478023/35184372088832) 1 (if (<=.f64 x 8062421283274649/8589934592) 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)))
(/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (+.f64 x 1) x))
(if (<=.f64 x -5117483254478023/35184372088832) (+.f64 (/.f64 (-.f64 x 1) y) 1) (if (<=.f64 x 690661429473387/147573952589676412928) (*.f64 (+.f64 1 (/.f64 x y)) x) (-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))))
(if (<=.f64 x -5117483254478023/35184372088832) (+.f64 1 (/.f64 (-.f64 x 1) y)) (if (<=.f64 x 690661429473387/147573952589676412928) (*.f64 x (+.f64 1 (/.f64 x y))) (-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))))
(if (<=.f64 x -5117483254478023/35184372088832) (+.f64 1 (/.f64 (-.f64 x 1) y)) (if (<=.f64 x 690661429473387/147573952589676412928) (*.f64 x (+.f64 1 (/.f64 x y))) (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 -1 y))))
(if (<=.f64 x -5117483254478023/35184372088832) (+.f64 (/.f64 (-.f64 x 1) y) 1) (if (<=.f64 x 690661429473387/147573952589676412928) (*.f64 (+.f64 1 (/.f64 x y)) x) (+.f64 (/.f64 (-.f64 x 1) y) 1)))
(if (<=.f64 x -5117483254478023/35184372088832) (+.f64 1 (/.f64 (-.f64 x 1) y)) (if (<=.f64 x 690661429473387/147573952589676412928) (*.f64 x (+.f64 1 (/.f64 x y))) (+.f64 1 (/.f64 (-.f64 x 1) y))))
(if (<=.f64 x -5117483254478023/35184372088832) (/.f64 (+.f64 1 (/.f64 x y)) 1) (if (<=.f64 x 690661429473387/147573952589676412928) (*.f64 (+.f64 1 (/.f64 x y)) x) (/.f64 (+.f64 1 (/.f64 x y)) 1)))
(if (<=.f64 x -5117483254478023/35184372088832) (+.f64 1 (/.f64 x y)) (if (<=.f64 x 690661429473387/147573952589676412928) (*.f64 x (+.f64 1 (/.f64 x y))) (+.f64 1 (/.f64 x y))))
(if (<=.f64 x -898395338016136960) (/.f64 x y) (if (<=.f64 x -4766908604583129/151115727451828646838272) (/.f64 x (+.f64 x 1)) (if (<=.f64 x 690661429473387/147573952589676412928) (*.f64 (+.f64 1 (/.f64 x y)) x) (/.f64 (-.f64 x 1) y))))
(if (<=.f64 x -898395338016136960) (/.f64 x y) (if (<=.f64 x -4766908604583129/151115727451828646838272) (/.f64 x (+.f64 x 1)) (if (<=.f64 x 690661429473387/147573952589676412928) (*.f64 x (+.f64 1 (/.f64 x y))) (/.f64 (-.f64 x 1) y))))
(if (<=.f64 x -898395338016136960) (/.f64 x y) (if (<=.f64 x -15157632052143/664613997892457936451903530140172288) (/.f64 x (+.f64 x 1)) (if (<=.f64 x -7115717855358155/452312848583266388373324160190187140051835877600158453279131187530910662656) (/.f64 x (/.f64 y x)) (if (<=.f64 x 124999999999999992975226368599321378007153016127568816443015486507057152) (/.f64 x (+.f64 x 1)) (/.f64 x y)))))
(if (<=.f64 x -5117483254478023/35184372088832) (/.f64 (-.f64 x 1) y) (if (<=.f64 x 690661429473387/147573952589676412928) x (if (<=.f64 x 91637559371816518869539319089025458678297772544753664) (/.f64 (-.f64 x 1) y) (if (<=.f64 x 124999999999999992975226368599321378007153016127568816443015486507057152) 1 (/.f64 x y)))))
(if (<=.f64 x -5117483254478023/35184372088832) (/.f64 x y) (if (<=.f64 x 690661429473387/147573952589676412928) x (/.f64 x y)))
(if (<=.f64 x -5117483254478023/35184372088832) 1 (if (<=.f64 x 8062421283274649/8589934592) x 1))
1
Compiler

Compiled 256 to 166 computations (35.2% saved)

soundness0.0ms (0%)

end220.0ms (2.9%)

Compiler

Compiled 236 to 138 computations (41.5% saved)

Profiling

Loading profile data...