Details

Time bar (total: 1.3s)

analyze74.0ms (5.8%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
40.6%40.6%59.3%0.1%0%0%0%7
46%45.3%53.1%0.1%1.6%0%0%8
65.3%63.2%33.6%0.1%3.1%0%0%9
69.5%66%28.9%0.1%5.1%0%0%10
80.9%75.1%17.8%0.1%7%0%0%11
83.6%76.6%15%0.1%8.3%0%0%12
Compiler

Compiled 10 to 7 computations (30% saved)

sample839.0ms (66%)

Results
784.0ms8256×body256valid
43.0ms367×body256infinite
Bogosity

preprocess47.0ms (3.7%)

Algorithm
egg-herbie
Rules
80×fma-def
50×associate-/l*
50×associate-/r*
48×associate-*r*
44×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01342
11842
22642
33942
46742
512042
618942
722742
827642
938242
1041642
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 x))
Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 x))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify20.0ms (1.6%)

Algorithm
egg-herbie
Rules
80×fma-def
60×associate--r+
36×associate-+l-
36×+-commutative
34×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11321
22021
33021
44821
59521
618821
724321
826821
929821
1033521
1134321
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize7.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 6 computations (70% saved)

series3.0ms (0.3%)

Counts
1 → 8
Calls

6 calls:

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

rewrite59.0ms (4.7%)

Algorithm
batch-egg-rewrite
Rules
1922×add-sqr-sqrt
1906×*-un-lft-identity
1784×add-cube-cbrt
1764×add-cbrt-cube
212×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0917
119913
2297513
Stop Event
node limit
Counts
1 → 39
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x y) (/.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (sqrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (pow.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) 2) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))) 2) (*.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (fabs.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fabs.f64 (-.f64 x y))) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (fabs.f64 (-.f64 x y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 1) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))) 2) 1) (/.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (fabs.f64 (-.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fabs.f64 (-.f64 x y)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (fabs.f64 (-.f64 x y)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (-.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (-.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (neg.f64 (fabs.f64 (-.f64 x y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))))))

simplify66.0ms (5.2%)

Algorithm
egg-herbie
Rules
1644×distribute-lft-in
1630×distribute-rgt-in
1198×associate-*r*
948×associate-*l*
654×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0108933
1259909
2943909
34720909
Stop Event
node limit
Counts
47 → 52
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))) 1)
(-.f64 (/.f64 x y) (/.f64 y y))
(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 y))
(*.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 1)
(*.f64 1 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))
(*.f64 (sqrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (sqrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 1 y)))
(*.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (pow.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) 2) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))) 2) (*.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 1 y)))
(*.f64 (/.f64 1 y) (fabs.f64 (-.f64 x y)))
(*.f64 (neg.f64 (fabs.f64 (-.f64 x y))) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (fabs.f64 (-.f64 x y)) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 1) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) y))
(*.f64 (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))) 2) 1) (/.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 1)
(pow.f64 (sqrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3) 1/3)
(pow.f64 (/.f64 y (fabs.f64 (-.f64 x y))) -1)
(neg.f64 (/.f64 (fabs.f64 (-.f64 x y)) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 2))
(fabs.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))
(fabs.f64 (neg.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
(fabs.f64 (/.f64 (fabs.f64 (-.f64 x y)) (neg.f64 y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs.f64 (/.f64 (-.f64 y x) (neg.f64 y)))
(fabs.f64 (/.f64 (neg.f64 (fabs.f64 (-.f64 x y))) y))
(log.f64 (exp.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))
(expm1.f64 (log1p.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
(exp.f64 (log.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
Outputs
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))) 1)
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(-.f64 (/.f64 x y) (/.f64 y y))
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 y))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(*.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 1)
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(*.f64 1 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(*.f64 (sqrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (sqrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 1 y)))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(*.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (pow.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) 2))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) 2) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(*.f64 (pow.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))) 2) (*.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 1 y)))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(*.f64 (/.f64 1 y) (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(*.f64 (neg.f64 (fabs.f64 (-.f64 x y))) (/.f64 1 (neg.f64 y)))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 y)))
(/.f64 (/.f64 (fabs.f64 (-.f64 y x)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (fabs.f64 (-.f64 x y)) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (fabs.f64 (-.f64 x y)) (cbrt.f64 y)))
(/.f64 (/.f64 (fabs.f64 (-.f64 y x)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (fabs.f64 (-.f64 x y)) (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 1) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) y))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(*.f64 (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (cbrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (fabs.f64 (-.f64 x y)) (cbrt.f64 y)))
(/.f64 (/.f64 (fabs.f64 (-.f64 y x)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (fabs.f64 (-.f64 x y)) (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))) 2) 1) (/.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))) y))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 y)))
(/.f64 (/.f64 (fabs.f64 (-.f64 y x)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (fabs.f64 (-.f64 x y)) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
(*.f64 (cbrt.f64 (fabs.f64 (-.f64 1 (/.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (cbrt.f64 (fabs.f64 (/.f64 (-.f64 y x) y))) (/.f64 (pow.f64 (cbrt.f64 (fabs.f64 (-.f64 y x))) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) y)) (/.f64 (pow.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))) 2) (pow.f64 (cbrt.f64 y) 2)))
(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 1)
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(pow.f64 (sqrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) 2)
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(pow.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) 3)
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(pow.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3) 1/3)
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(pow.f64 (/.f64 y (fabs.f64 (-.f64 x y))) -1)
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(neg.f64 (/.f64 (fabs.f64 (-.f64 x y)) (neg.f64 y)))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(sqrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 2))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(fabs.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(fabs.f64 (neg.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(fabs.f64 (/.f64 (fabs.f64 (-.f64 x y)) (neg.f64 y)))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(fabs.f64 (/.f64 (-.f64 y x) (neg.f64 y)))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(fabs.f64 (/.f64 (neg.f64 (fabs.f64 (-.f64 x y))) y))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(log.f64 (exp.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(expm1.f64 (log1p.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(exp.f64 (log.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) 1))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)
(log1p.f64 (expm1.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) y)

eval10.0ms (0.7%)

Compiler

Compiled 593 to 189 computations (68.1% saved)

prune7.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New50252
Fresh000
Picked101
Done000
Total51253
Error
0b
Counts
53 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
51.0b
(+.f64 (/.f64 x y) -1)
0b
(fabs.f64 (-.f64 1 (/.f64 x y)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize7.0ms (0.5%)

Compiler

Compiled 19 to 9 computations (52.6% saved)

localize5.0ms (0.4%)

Compiler

Compiled 13 to 6 computations (53.8% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022
Error
0b
Counts
2 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
51.0b
(+.f64 (/.f64 x y) -1)
0b
(fabs.f64 (-.f64 1 (/.f64 x y)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes10.0ms (0.8%)

Accuracy

Total -51.0b remaining (-∞%)

Threshold costs -51.0b (-∞%)

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

3 calls:

3.0ms
x
3.0ms
y
3.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Results
ErrorSegmentsBranch
0b1x
0b1y
0b1(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify5.0ms (0.4%)

Algorithm
egg-herbie
Rules
sub-neg
+-commutative
neg-mul-1
*-commutative
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01130
11830
22430
32830
43130
53230
Stop Event
done
saturated
Calls
Call 1
Inputs
(fabs.f64 (-.f64 1 (/.f64 x y)))
(+.f64 (/.f64 x y) -1)
Outputs
(fabs.f64 (-.f64 1 (/.f64 x y)))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(fabs.f64 (+.f64 (/.f64 x y) -1))
(+.f64 (/.f64 x y) -1)
Compiler

Compiled 15 to 11 computations (26.7% saved)

soundness95.0ms (7.5%)

Algorithm
egg-herbie
Rules
1644×distribute-lft-in
1630×distribute-rgt-in
1198×associate-*r*
948×associate-*l*
654×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0108933
1259909
2943909
34720909
Stop Event
node limit
Compiler

Compiled 56 to 29 computations (48.2% saved)

end15.0ms (1.2%)

Compiler

Compiled 13 to 8 computations (38.5% saved)

Profiling

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