Details

Time bar (total: 2.0s)

analyze66.0ms (3.4%)

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
12.5%12.5%87.4%0.1%0%0%0%5
18.8%18.7%81.2%0.1%0%0%0%6
46.9%46.8%53.1%0.1%0%0%0%7
54.7%54.6%45.3%0.1%0%0%0%8
71.1%71%28.9%0.1%0%0%0%9
76.2%76.1%23.8%0.1%0%0%0%10
85%84.9%15%0.1%0%0%0%11
87.8%87.7%12.2%0.1%0%0%0%12
Compiler

Compiled 10 to 7 computations (30% saved)

sample708.0ms (36.2%)

Results
698.0ms8255×body256valid
0.0msbody512valid
Bogosity

preprocess15.0ms (0.8%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11520
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (+.f64 x y) (+.f64 y 1))
(/.f64 (+.f64 y x) (+.f64 x 1))
Outputs
(/.f64 (+.f64 x y) (+.f64 y 1))
(/.f64 (+.f64 y x) (+.f64 x 1))
(/.f64 (+.f64 x y) (+.f64 x 1))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify6.0ms (0.3%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11110
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y 1))
Outputs
(/.f64 (+.f64 x y) (+.f64 y 1))

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

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 (+.f64 x y) (+.f64 y 1))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 18 to 9 computations (50% saved)

series4.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

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

rewrite44.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
936×pow1_binary64
874×log1p-expm1-u_binary64
874×expm1-log1p-u_binary64
873×add-log-exp_binary64
856×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115710
2231810
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 x y) (+.f64 y 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (/.f64 1 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x y) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (+.f64 y 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y 1)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 y))) (/.f64 (+.f64 x y) (hypot.f64 1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (hypot.f64 1 (sqrt.f64 y))) (/.f64 (cbrt.f64 (+.f64 x y)) (hypot.f64 1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (fma.f64 y y -1)) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (+.f64 y 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (+.f64 y 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y 1) (+.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x y) (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (+.f64 y 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (+.f64 y 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 y 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 x y)) (log1p.f64 y)))))))

simplify46.0ms (2.4%)

Algorithm
egg-herbie
Rules
384×fma-neg_binary64
317×fma-def_binary64
308×sub-neg_binary64
254×associate-/l*_binary64
242×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0141974
1384954
21329700
35721688
Stop Event
node limit
Counts
57 → 85
Calls
Call 1
Inputs
(/.f64 y (+.f64 1 y))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(/.f64 x (+.f64 1 y))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(/.f64 x (+.f64 1 y))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
x
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 x 1)) x))
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 x 1)) x)))
1
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)))
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)))))
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y))))))
(-.f64 (+.f64 1 (/.f64 (+.f64 x y) (+.f64 y 1))) 1)
(*.f64 (+.f64 x y) (/.f64 1 (+.f64 y 1)))
(*.f64 1 (/.f64 (+.f64 x y) (+.f64 y 1)))
(*.f64 (/.f64 (+.f64 x y) (+.f64 y 1)) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (+.f64 y 1))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (+.f64 y 1))))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (+.f64 (neg.f64 y) -1)))
(*.f64 (/.f64 1 (+.f64 y 1)) (+.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (+.f64 y 1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (+.f64 y 1)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (+.f64 y 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 y 1))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 y))) (/.f64 (+.f64 x y) (hypot.f64 1 (sqrt.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (hypot.f64 1 (sqrt.f64 y))) (/.f64 (cbrt.f64 (+.f64 x y)) (hypot.f64 1 (sqrt.f64 y))))
(*.f64 (/.f64 (+.f64 x y) (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y)))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 y y -1)) (+.f64 y -1))
(pow.f64 (/.f64 (+.f64 x y) (+.f64 y 1)) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (+.f64 y 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) 2)
(pow.f64 (/.f64 (+.f64 y 1) (+.f64 x y)) -1)
(neg.f64 (/.f64 (+.f64 x y) (+.f64 (neg.f64 y) -1)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (+.f64 y 1)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (+.f64 y 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 y 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))
(exp.f64 (-.f64 (log.f64 (+.f64 x y)) (log1p.f64 y)))
Outputs
(/.f64 y (+.f64 1 y))
(/.f64 y (+.f64 y 1))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 y 1))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 y 1))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
x
(+.f64 (*.f64 y (-.f64 1 x)) x)
(fma.f64 y (-.f64 1 x) x)
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 x 1)) x))
(fma.f64 y (-.f64 1 x) (fma.f64 (*.f64 y y) (+.f64 x -1) x))
(fma.f64 y (-.f64 1 x) (fma.f64 (*.f64 y y) (-.f64 x 1) x))
(fma.f64 y (-.f64 1 x) (fma.f64 y (*.f64 y (+.f64 x -1)) x))
(fma.f64 y (-.f64 1 x) (fma.f64 y (-.f64 (*.f64 y x) y) x))
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 x 1)) x)))
(fma.f64 y (-.f64 1 x) (fma.f64 (pow.f64 y 3) (-.f64 1 x) (fma.f64 (*.f64 y y) (+.f64 x -1) x)))
(+.f64 (fma.f64 (*.f64 y y) (-.f64 x 1) x) (*.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3))))
(fma.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3)) (fma.f64 y (*.f64 y (+.f64 x -1)) x))
(fma.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3)) (fma.f64 y (-.f64 (*.f64 y x) y) x))
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 1 (/.f64 (-.f64 1 x) y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))))
(+.f64 (+.f64 1 (/.f64 x y)) (-.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))))
(+.f64 1 (+.f64 (/.f64 x y) (-.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 1 y))))
(+.f64 1 (+.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 (+.f64 x -1) y)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 (*.f64 y y))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (+.f64 (/.f64 x y) (+.f64 1 (/.f64 1 (*.f64 y y)))) (-.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 1 (pow.f64 y 3)))))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (-.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 1 y)))) (/.f64 (-.f64 1 x) (pow.f64 y 3)))
(+.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 (+.f64 x -1) y))) (/.f64 (+.f64 x -1) (pow.f64 y 3)))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(-.f64 1 (/.f64 (-.f64 1 x) y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)))))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))))
(+.f64 (+.f64 1 (/.f64 x y)) (-.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))))
(+.f64 1 (+.f64 (/.f64 x y) (-.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 1 y))))
(+.f64 1 (+.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 (+.f64 x -1) y)))
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y))))))
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 (*.f64 y y))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (+.f64 (/.f64 x y) (+.f64 1 (/.f64 1 (*.f64 y y)))) (-.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 1 (pow.f64 y 3)))))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (-.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 1 y)))) (/.f64 (-.f64 1 x) (pow.f64 y 3)))
(+.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 (+.f64 x -1) y))) (/.f64 (+.f64 x -1) (pow.f64 y 3)))
(-.f64 (+.f64 1 (/.f64 (+.f64 x y) (+.f64 y 1))) 1)
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(*.f64 (+.f64 x y) (/.f64 1 (+.f64 y 1)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(*.f64 1 (/.f64 (+.f64 x y) (+.f64 y 1)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 (+.f64 x y) (+.f64 y 1)) 1)
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) 2))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (+.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (+.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (+.f64 (neg.f64 y) -1)))
(*.f64 (neg.f64 (+.f64 y x)) (/.f64 1 (+.f64 -1 (neg.f64 y))))
(/.f64 (-.f64 (neg.f64 x) y) (-.f64 -1 y))
(*.f64 (/.f64 1 (+.f64 y 1)) (+.f64 x y))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (+.f64 y 1)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (+.f64 y 1)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (+.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (cbrt.f64 (/.f64 (+.f64 y x) (+.f64 y 1)))) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 y x) (+.f64 y 1))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 y x) (+.f64 y 1))) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 y))) (/.f64 (+.f64 x y) (hypot.f64 1 (sqrt.f64 y))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 y))) (/.f64 (+.f64 y x) (hypot.f64 1 (sqrt.f64 y))))
(/.f64 (/.f64 (+.f64 y x) (hypot.f64 1 (sqrt.f64 y))) (hypot.f64 1 (sqrt.f64 y)))
(/.f64 (+.f64 y x) (*.f64 (hypot.f64 1 (sqrt.f64 y)) (hypot.f64 1 (sqrt.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (hypot.f64 1 (sqrt.f64 y))) (/.f64 (cbrt.f64 (+.f64 x y)) (hypot.f64 1 (sqrt.f64 y))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 y))) (/.f64 (+.f64 y x) (hypot.f64 1 (sqrt.f64 y))))
(/.f64 (/.f64 (+.f64 y x) (hypot.f64 1 (sqrt.f64 y))) (hypot.f64 1 (sqrt.f64 y)))
(/.f64 (+.f64 y x) (*.f64 (hypot.f64 1 (sqrt.f64 y)) (hypot.f64 1 (sqrt.f64 y))))
(*.f64 (/.f64 (+.f64 x y) (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y)))
(*.f64 (/.f64 (+.f64 y x) (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y)))
(/.f64 (*.f64 (+.f64 y x) (fma.f64 y y (-.f64 1 y))) (+.f64 1 (pow.f64 y 3)))
(/.f64 (-.f64 (fma.f64 y y 1) y) (/.f64 (+.f64 1 (pow.f64 y 3)) (+.f64 y x)))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 y y -1)) (+.f64 y -1))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(pow.f64 (/.f64 (+.f64 x y) (+.f64 y 1)) 1)
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (+.f64 y 1)) 3) 1/3)
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) 3)
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) 2)
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(pow.f64 (/.f64 (+.f64 y 1) (+.f64 x y)) -1)
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(neg.f64 (/.f64 (+.f64 x y) (+.f64 (neg.f64 y) -1)))
(*.f64 (neg.f64 (+.f64 y x)) (/.f64 1 (+.f64 -1 (neg.f64 y))))
(/.f64 (-.f64 (neg.f64 x) y) (-.f64 -1 y))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (+.f64 y 1)) 2))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (+.f64 y 1)) 3))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 y 1) 3)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y x) (+.f64 y 1))
(exp.f64 (-.f64 (log.f64 (+.f64 x y)) (log1p.f64 y)))
(exp.f64 (-.f64 (log.f64 (+.f64 y x)) (log1p.f64 y)))
(/.f64 (+.f64 y x) (exp.f64 (log1p.f64 y)))

eval20.0ms (1%)

Compiler

Compiled 1199 to 694 computations (42.1% saved)

prune13.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New80585
Fresh000
Picked011
Done000
Total80686
Error
0b
Counts
86 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 (+.f64 x y) (+.f64 y 1))
32.9b
(/.f64 y (+.f64 y 1))
30.4b
(/.f64 x (+.f64 y 1))
32.4b
(-.f64 1 (/.f64 (-.f64 1 x) y))
38.2b
x
39.7b
1
Compiler

Compiled 38 to 28 computations (26.3% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 13 computations (35% saved)

series6.0ms (0.3%)

Counts
2 → 36
Calls

12 calls:

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

rewrite50.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
971×pow1_binary64
907×add-log-exp_binary64
907×log1p-expm1-u_binary64
907×expm1-log1p-u_binary64
84×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115917
2230317
Stop Event
node limit
Counts
2 → 63
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) y)
(-.f64 1 (/.f64 (-.f64 1 x) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (sqrt.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.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)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (-.f64 1 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 1 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 x) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (/.f64 (-.f64 1 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1 y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))) 2) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (-.f64 1 x) y) (pow.f64 (/.f64 (-.f64 1 x) y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2)) (/.f64 1 (+.f64 1 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 1 x) y) (pow.f64 (/.f64 (-.f64 1 x) y) 2))) (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3)) (+.f64 1 (+.f64 (/.f64 (-.f64 1 x) y) (pow.f64 (/.f64 (-.f64 1 x) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2)) (+.f64 1 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 1 x) y) (pow.f64 (/.f64 (-.f64 1 x) y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2))) (neg.f64 (+.f64 1 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (/.f64 (-.f64 1 x) y)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (/.f64 (-.f64 1 x) y)) (neg.f64 (/.f64 (-.f64 1 x) y))) (neg.f64 (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (/.f64 (-.f64 1 x) y)) (neg.f64 (/.f64 (-.f64 1 x) y)))) (-.f64 1 (neg.f64 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 1 x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 1 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 1 x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (/.f64 (-.f64 1 x) y))))))))

simplify42.0ms (2.1%)

Algorithm
egg-herbie
Rules
529×fma-def_binary64
467×distribute-rgt-in_binary64
452×distribute-lft-in_binary64
432×associate-/l*_binary64
381×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01551124
13701080
214181070
Stop Event
node limit
Counts
99 → 92
Calls
Call 1
Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(-.f64 1 (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(/.f64 (-.f64 x 1) y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
1
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 1 x) y)))
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 1 x) y)))
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 1 x) y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) 1)
(*.f64 1 (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 1 y))
(*.f64 (/.f64 (-.f64 1 x) y) 1)
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (sqrt.f64 (/.f64 (-.f64 1 x) y)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 y)))
(*.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (-.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) y))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (-.f64 1 x) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 (-.f64 1 x) y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 1 x) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 y)))
(pow.f64 (/.f64 (-.f64 1 x) y) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) 2)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3) 1/3)
(pow.f64 (/.f64 y (-.f64 1 x)) -1)
(neg.f64 (/.f64 (-.f64 1 x) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) y))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) y)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) y)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) y)))
(+.f64 1 (neg.f64 (/.f64 (-.f64 1 x) y)))
(+.f64 1 (*.f64 (neg.f64 (/.f64 (-.f64 1 x) y)) 1))
(+.f64 (neg.f64 (/.f64 (-.f64 1 x) y)) 1)
(+.f64 (-.f64 1 (/.f64 1 y)) (/.f64 x y))
(*.f64 1 (-.f64 1 (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 1 (/.f64 (-.f64 1 x) y)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))) 2) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (-.f64 1 x) y) (pow.f64 (/.f64 (-.f64 1 x) y) 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2)) (/.f64 1 (+.f64 1 (/.f64 (-.f64 1 x) y))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 1 x) y) (pow.f64 (/.f64 (-.f64 1 x) y) 2))) (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3)) (+.f64 1 (+.f64 (/.f64 (-.f64 1 x) y) (pow.f64 (/.f64 (-.f64 1 x) y) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2)) (+.f64 1 (/.f64 (-.f64 1 x) y)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 1 x) y) (pow.f64 (/.f64 (-.f64 1 x) y) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2))) (neg.f64 (+.f64 1 (/.f64 (-.f64 1 x) y))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (/.f64 (-.f64 1 x) y)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (/.f64 (-.f64 1 x) y)) (neg.f64 (/.f64 (-.f64 1 x) y))) (neg.f64 (/.f64 (-.f64 1 x) y)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (/.f64 (-.f64 1 x) y)) (neg.f64 (/.f64 (-.f64 1 x) y)))) (-.f64 1 (neg.f64 (/.f64 (-.f64 1 x) y))))
(pow.f64 (-.f64 1 (/.f64 (-.f64 1 x) y)) 1)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 1 x) y)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))) 3)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 1 x) y)) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (-.f64 1 x) y)))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 1 x) y)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 (-.f64 1 x) y))))
Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(*.f64 -1 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(*.f64 -1 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
1
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 1 x) y)))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 1 x) y)))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 1 x) y)))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) 1)
(/.f64 (-.f64 1 x) y)
(*.f64 1 (/.f64 (-.f64 1 x) y))
(/.f64 (-.f64 1 x) y)
(*.f64 (-.f64 1 x) (/.f64 1 y))
(/.f64 (-.f64 1 x) y)
(*.f64 (/.f64 (-.f64 1 x) y) 1)
(/.f64 (-.f64 1 x) y)
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2))
(/.f64 (-.f64 1 x) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) y)))
(/.f64 (-.f64 1 x) y)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 y)))
(/.f64 (-.f64 1 x) y)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (sqrt.f64 (/.f64 (-.f64 1 x) y)))
(/.f64 (-.f64 1 x) y)
(*.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 y)))
(/.f64 (-.f64 1 x) y)
(*.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 y)))
(/.f64 (-.f64 1 x) y)
(*.f64 (/.f64 1 y) (-.f64 1 x))
(/.f64 (-.f64 1 x) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) y))
(/.f64 (-.f64 1 x) y)
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) y))
(/.f64 (-.f64 1 x) y)
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (-.f64 1 x) (cbrt.f64 y)))
(/.f64 (/.f64 (-.f64 1 x) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(/.f64 (-.f64 1 x) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 (-.f64 1 x) y)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (*.f64 y y))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (/.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 (/.f64 (-.f64 1 x) y))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (-.f64 1 x) (cbrt.f64 y)))
(/.f64 (/.f64 (-.f64 1 x) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(/.f64 (-.f64 1 x) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 1 x) (sqrt.f64 y)))
(/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 1 x) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 1 x) (sqrt.f64 y)))
(/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 1 x) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(pow.f64 (/.f64 (-.f64 1 x) y) 1)
(/.f64 (-.f64 1 x) y)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 3)
(/.f64 (-.f64 1 x) y)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) 2)
(/.f64 (-.f64 1 x) y)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3) 1/3)
(/.f64 (-.f64 1 x) y)
(pow.f64 (/.f64 y (-.f64 1 x)) -1)
(/.f64 (-.f64 1 x) y)
(neg.f64 (/.f64 (-.f64 1 x) (neg.f64 y)))
(/.f64 (-.f64 1 x) y)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2))
(/.f64 (-.f64 1 x) y)
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) y)))
(/.f64 (-.f64 1 x) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) y))))
(/.f64 (-.f64 1 x) y)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3))
(/.f64 (-.f64 1 x) y)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) y)))
(/.f64 (-.f64 1 x) y)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) y)))
(/.f64 (-.f64 1 x) y)
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) y)))
(/.f64 (-.f64 1 x) y)
(+.f64 1 (neg.f64 (/.f64 (-.f64 1 x) y)))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(+.f64 1 (*.f64 (neg.f64 (/.f64 (-.f64 1 x) y)) 1))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(+.f64 (neg.f64 (/.f64 (-.f64 1 x) y)) 1)
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(+.f64 (-.f64 1 (/.f64 1 y)) (/.f64 x y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(*.f64 1 (-.f64 1 (/.f64 (-.f64 1 x) y)))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(*.f64 (-.f64 1 (/.f64 (-.f64 1 x) y)) 1)
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))) 2))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))) 2) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (-.f64 1 x) y) (pow.f64 (/.f64 (-.f64 1 x) y) 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) (pow.f64 (/.f64 (-.f64 1 x) y) 2))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 -1 x) y) 3)) (+.f64 1 (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 -1 (/.f64 (+.f64 -1 x) y)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 -1 x) y) 3)) (fma.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 (+.f64 -1 x) y)) 1))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2)) (/.f64 1 (+.f64 1 (/.f64 (-.f64 1 x) y))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2)) (-.f64 1 (/.f64 (+.f64 -1 x) y)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y (-.f64 1 x)) -2)) (-.f64 1 (/.f64 (+.f64 -1 x) y)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 1 x) y) (pow.f64 (/.f64 (-.f64 1 x) y) 2))) (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) (pow.f64 (/.f64 (-.f64 1 x) y) 2))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 -1 x) y) 3)) (+.f64 1 (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 -1 (/.f64 (+.f64 -1 x) y)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 -1 x) y) 3)) (fma.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 (+.f64 -1 x) y)) 1))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2)) (/.f64 1 (+.f64 1 (/.f64 (-.f64 1 x) y))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2)) (-.f64 1 (/.f64 (+.f64 -1 x) y)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y (-.f64 1 x)) -2)) (-.f64 1 (/.f64 (+.f64 -1 x) y)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3)) (+.f64 1 (+.f64 (/.f64 (-.f64 1 x) y) (pow.f64 (/.f64 (-.f64 1 x) y) 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) (pow.f64 (/.f64 (-.f64 1 x) y) 2))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 -1 x) y) 3)) (+.f64 1 (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 -1 (/.f64 (+.f64 -1 x) y)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 -1 x) y) 3)) (fma.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 (+.f64 -1 x) y)) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2)) (+.f64 1 (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2)) (/.f64 1 (+.f64 1 (/.f64 (-.f64 1 x) y))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2)) (-.f64 1 (/.f64 (+.f64 -1 x) y)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y (-.f64 1 x)) -2)) (-.f64 1 (/.f64 (+.f64 -1 x) y)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 1 x) y) (pow.f64 (/.f64 (-.f64 1 x) y) 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) (pow.f64 (/.f64 (-.f64 1 x) y) 2))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 -1 x) y) 3)) (+.f64 1 (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 -1 (/.f64 (+.f64 -1 x) y)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 -1 x) y) 3)) (fma.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 (+.f64 -1 x) y)) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2))) (neg.f64 (+.f64 1 (/.f64 (-.f64 1 x) y))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2)) (/.f64 1 (+.f64 1 (/.f64 (-.f64 1 x) y))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2)) (-.f64 1 (/.f64 (+.f64 -1 x) y)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y (-.f64 1 x)) -2)) (-.f64 1 (/.f64 (+.f64 -1 x) y)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (/.f64 (-.f64 1 x) y)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (/.f64 (-.f64 1 x) y)) (neg.f64 (/.f64 (-.f64 1 x) y))) (neg.f64 (/.f64 (-.f64 1 x) y)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) (pow.f64 (/.f64 (-.f64 1 x) y) 2))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 -1 x) y) 3)) (+.f64 1 (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 -1 (/.f64 (+.f64 -1 x) y)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 -1 x) y) 3)) (fma.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 (+.f64 -1 x) y)) 1))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (/.f64 (-.f64 1 x) y)) (neg.f64 (/.f64 (-.f64 1 x) y)))) (-.f64 1 (neg.f64 (/.f64 (-.f64 1 x) y))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2)) (/.f64 1 (+.f64 1 (/.f64 (-.f64 1 x) y))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2)) (-.f64 1 (/.f64 (+.f64 -1 x) y)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y (-.f64 1 x)) -2)) (-.f64 1 (/.f64 (+.f64 -1 x) y)))
(pow.f64 (-.f64 1 (/.f64 (-.f64 1 x) y)) 1)
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(pow.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 1 x) y)) 3) 1/3)
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))) 3)
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))) 2)
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 1 x) y)) 2))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(log.f64 (exp.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (-.f64 1 x) y)))))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 1 x) y)) 3))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (+.f64 -1 x) y))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 (-.f64 1 x) y))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 (-.f64 1 x)) y)))
(exp.f64 (log1p.f64 (/.f64 (+.f64 -1 x) y)))

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

series5.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

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

rewrite40.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
688×pow1_binary64
641×log1p-expm1-u_binary64
641×expm1-log1p-u_binary64
640×add-log-exp_binary64
627×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11287
217307
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 x (+.f64 y 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 y 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 y 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 y 1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y 1))) 2) (cbrt.f64 (/.f64 x (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 y 1))) (sqrt.f64 (/.f64 x (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1))) (/.f64 x (sqrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 y 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 y y -1)) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 y 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 y 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 y 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 y 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y 1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 y 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 y 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 y 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 y)))))))

simplify41.0ms (2.1%)

Algorithm
egg-herbie
Rules
502×fma-neg_binary64
331×cancel-sign-sub-inv_binary64
290×associate-/l*_binary64
236×times-frac_binary64
228×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0115549
1300529
2922526
34004526
Stop Event
node limit
Counts
57 → 66
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
x
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 (*.f64 y x)) x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 (*.f64 y x)) x)))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))))
(-.f64 (+.f64 1 (/.f64 x (+.f64 y 1))) 1)
(*.f64 x (/.f64 1 (+.f64 y 1)))
(*.f64 1 (/.f64 x (+.f64 y 1)))
(*.f64 (/.f64 x (+.f64 y 1)) 1)
(*.f64 (cbrt.f64 (/.f64 x (+.f64 y 1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y 1))) 2) (cbrt.f64 (/.f64 x (+.f64 y 1))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 y 1))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 y 1))) (sqrt.f64 (/.f64 x (+.f64 y 1))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 y 1))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 y 1))))
(*.f64 (/.f64 1 (+.f64 y 1)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 y 1)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 y 1)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 y 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 y 1))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 y 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1))) (/.f64 x (sqrt.f64 (+.f64 y 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 y 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 y 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y)))
(*.f64 (/.f64 x (fma.f64 y y -1)) (+.f64 y -1))
(pow.f64 (/.f64 x (+.f64 y 1)) 1)
(pow.f64 (pow.f64 (/.f64 x (+.f64 y 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 y 1))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 y 1))) 2)
(pow.f64 (/.f64 (+.f64 y 1) x) -1)
(neg.f64 (/.f64 x (neg.f64 (+.f64 y 1))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 y 1)) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 y 1))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 y 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 y 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 y 1))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 y 1))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 y)))
Outputs
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
x
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 (*.f64 y x)) x))
(fma.f64 (*.f64 y y) x (fma.f64 -1 (*.f64 x y) x))
(*.f64 x (fma.f64 y y (-.f64 1 y)))
(*.f64 x (-.f64 (fma.f64 y y 1) y))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 (*.f64 y x)) x)))
(fma.f64 -1 (*.f64 x (pow.f64 y 3)) (fma.f64 (*.f64 y y) x (fma.f64 -1 (*.f64 x y) x)))
(-.f64 (*.f64 x (fma.f64 y y (-.f64 1 y))) (*.f64 x (pow.f64 y 3)))
(*.f64 x (-.f64 (fma.f64 y y (-.f64 1 y)) (pow.f64 y 3)))
(*.f64 x (-.f64 (-.f64 (fma.f64 y y 1) y) (pow.f64 y 3)))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 x y) (/.f64 (/.f64 x y) y))
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y)))
(+.f64 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 x y)) (/.f64 x (pow.f64 y 3)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (*.f64 y y))))
(+.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) y)) (/.f64 x (pow.f64 y 3)))
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (/.f64 x y) (/.f64 x (*.f64 y y))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))))
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (+.f64 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 x y)) (/.f64 x (pow.f64 y 3))))
(-.f64 (+.f64 (/.f64 x y) (-.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (*.f64 y y)))) (/.f64 x (pow.f64 y 4)))
(+.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4))))
(+.f64 (/.f64 x (pow.f64 y 3)) (fma.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 x y) (/.f64 (neg.f64 x) (pow.f64 y 4))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 x y) (/.f64 (/.f64 x y) y))
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y)))
(+.f64 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 x y)) (/.f64 x (pow.f64 y 3)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (*.f64 y y))))
(+.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) y)) (/.f64 x (pow.f64 y 3)))
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (/.f64 x y) (/.f64 x (*.f64 y y))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))))
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (+.f64 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 x y)) (/.f64 x (pow.f64 y 3))))
(-.f64 (+.f64 (/.f64 x y) (-.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (*.f64 y y)))) (/.f64 x (pow.f64 y 4)))
(+.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4))))
(+.f64 (/.f64 x (pow.f64 y 3)) (fma.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 x y) (/.f64 (neg.f64 x) (pow.f64 y 4))))
(-.f64 (+.f64 1 (/.f64 x (+.f64 y 1))) 1)
(/.f64 x (+.f64 1 y))
(*.f64 x (/.f64 1 (+.f64 y 1)))
(/.f64 x (+.f64 1 y))
(*.f64 1 (/.f64 x (+.f64 y 1)))
(/.f64 x (+.f64 1 y))
(*.f64 (/.f64 x (+.f64 y 1)) 1)
(/.f64 x (+.f64 1 y))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 y 1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y 1))) 2))
(/.f64 x (+.f64 1 y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y 1))) 2) (cbrt.f64 (/.f64 x (+.f64 y 1))))
(/.f64 x (+.f64 1 y))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 y 1))))
(/.f64 x (+.f64 1 y))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 y 1))) (sqrt.f64 (/.f64 x (+.f64 y 1))))
(/.f64 x (+.f64 1 y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 y 1))))
(/.f64 x (+.f64 1 y))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 y 1))))
(/.f64 x (+.f64 1 y))
(*.f64 (/.f64 1 (+.f64 y 1)) x)
(/.f64 x (+.f64 1 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 y 1)))
(/.f64 x (+.f64 1 y))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 y 1)))
(/.f64 x (+.f64 1 y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 y 1))))
(/.f64 x (+.f64 1 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 y 1))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 y 1))))
(/.f64 x (+.f64 1 y))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1))) (/.f64 x (sqrt.f64 (+.f64 y 1))))
(/.f64 x (+.f64 1 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 y 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 y 1))))
(/.f64 x (+.f64 1 y))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y)))
(/.f64 (*.f64 x (fma.f64 y y (-.f64 1 y))) (+.f64 1 (pow.f64 y 3)))
(/.f64 x (/.f64 (+.f64 1 (pow.f64 y 3)) (-.f64 (fma.f64 y y 1) y)))
(*.f64 (/.f64 x (fma.f64 y y -1)) (+.f64 y -1))
(/.f64 x (+.f64 1 y))
(pow.f64 (/.f64 x (+.f64 y 1)) 1)
(/.f64 x (+.f64 1 y))
(pow.f64 (pow.f64 (/.f64 x (+.f64 y 1)) 3) 1/3)
(/.f64 x (+.f64 1 y))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 y 1))) 3)
(/.f64 x (+.f64 1 y))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 y 1))) 2)
(/.f64 x (+.f64 1 y))
(pow.f64 (/.f64 (+.f64 y 1) x) -1)
(/.f64 x (+.f64 1 y))
(neg.f64 (/.f64 x (neg.f64 (+.f64 y 1))))
(/.f64 x (+.f64 1 y))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 y 1)) 2))
(/.f64 x (+.f64 1 y))
(log.f64 (exp.f64 (/.f64 x (+.f64 y 1))))
(/.f64 x (+.f64 1 y))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 y 1)) 3))
(/.f64 x (+.f64 1 y))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 y 1) 3)))
(/.f64 x (+.f64 1 y))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 y 1))))
(/.f64 x (+.f64 1 y))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 y 1))))
(/.f64 x (+.f64 1 y))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 y)))
(/.f64 x (exp.f64 (log1p.f64 y)))

localize5.0ms (0.2%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval37.0ms (1.9%)

Compiler

Compiled 1927 to 1303 computations (32.4% saved)

prune22.0ms (1.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1562158
Fresh022
Picked011
Done123
Total1577164
Error
0b
Counts
164 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 (+.f64 x y) (+.f64 y 1))
32.9b
(/.f64 y (+.f64 y 1))
30.4b
(/.f64 x (+.f64 y 1))
54.9b
(/.f64 x y)
32.3b
(-.f64 1 (/.f64 (neg.f64 x) y))
38.2b
x
39.7b
1
Compiler

Compiled 42 to 30 computations (28.6% saved)

localize8.0ms (0.4%)

Compiler

Compiled 17 to 7 computations (58.8% saved)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done044
Total077
Error
0b
Counts
7 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 (+.f64 x y) (+.f64 y 1))
32.9b
(/.f64 y (+.f64 y 1))
30.4b
(/.f64 x (+.f64 y 1))
54.9b
(/.f64 x y)
32.3b
(-.f64 1 (/.f64 (neg.f64 x) y))
38.2b
x
39.7b
1
Compiler

Compiled 42 to 30 computations (28.6% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done055
Total077
Error
0b
Counts
7 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 (+.f64 x y) (+.f64 y 1))
32.9b
(/.f64 y (+.f64 y 1))
30.4b
(/.f64 x (+.f64 y 1))
54.9b
(/.f64 x y)
32.3b
(-.f64 1 (/.f64 (neg.f64 x) y))
38.2b
x
39.7b
1
Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes18.0ms (0.9%)

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

3 calls:

7.0ms
y
5.0ms
x
4.0ms
(/.f64 (+.f64 x y) (+.f64 y 1))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(/.f64 (+.f64 x y) (+.f64 y 1))
Compiler

Compiled 52 to 33 computations (36.5% saved)

regimes66.0ms (3.4%)

Counts
7 → 4
Calls
Call 1
Inputs
1
x
(/.f64 x y)
(/.f64 x (+.f64 y 1))
(/.f64 y (+.f64 y 1))
(-.f64 1 (/.f64 (neg.f64 x) y))
(-.f64 1 (/.f64 (-.f64 1 x) y))
Outputs
(-.f64 1 (/.f64 (-.f64 1 x) y))
(/.f64 x (+.f64 y 1))
(/.f64 y (+.f64 y 1))
(-.f64 1 (/.f64 (-.f64 1 x) y))
Calls

2 calls:

44.0ms
x
21.0ms
y
Results
ErrorSegmentsBranch
14.8b5x
6.7b4y
Compiler

Compiled 36 to 23 computations (36.1% saved)

bsearch70.0ms (3.6%)

Algorithm
binary-search
Steps
TimeLeftRight
39.0ms
1.4896719176812371e-9
51.93487483123456
12.0ms
1.562106311926405e-21
7.688107147952009e-17
18.0ms
-7195692821.0587
-2913517731.176914
Results
65.0ms368×body256valid
Compiler

Compiled 412 to 316 computations (23.3% saved)

regimes69.0ms (3.5%)

Counts
6 → 4
Calls
Call 1
Inputs
1
x
(/.f64 x y)
(/.f64 x (+.f64 y 1))
(/.f64 y (+.f64 y 1))
(-.f64 1 (/.f64 (neg.f64 x) y))
Outputs
(-.f64 1 (/.f64 (neg.f64 x) y))
(/.f64 x (+.f64 y 1))
(/.f64 y (+.f64 y 1))
(-.f64 1 (/.f64 (neg.f64 x) y))
Calls

2 calls:

45.0ms
y
22.0ms
x
Results
ErrorSegmentsBranch
14.8b5x
6.9b4y
Compiler

Compiled 29 to 18 computations (37.9% saved)

bsearch31.0ms (1.6%)

Algorithm
binary-search
Steps
TimeLeftRight
9.0ms
1964241269.6694221
30143255403.440746
14.0ms
1.562106311926405e-21
7.688107147952009e-17
8.0ms
-7195692821.0587
-2913517731.176914
Results
27.0ms304×body256valid
Compiler

Compiled 329 to 249 computations (24.3% saved)

regimes73.0ms (3.7%)

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

2 calls:

60.0ms
y
11.0ms
x
Results
ErrorSegmentsBranch
15.9b3x
12.5b5y
Compiler

Compiled 23 to 14 computations (39.1% saved)

bsearch47.0ms (2.4%)

Algorithm
binary-search
Steps
TimeLeftRight
10.0ms
2.0593847254420177e+61
3.463420592274639e+62
11.0ms
1964241269.6694221
30143255403.440746
12.0ms
1.562106311926405e-21
7.688107147952009e-17
13.0ms
-4.451800997176988e-63
-8.138665974677542e-65
Results
42.0ms448×body256valid
Compiler

Compiled 374 to 287 computations (23.3% saved)

regimes70.0ms (3.6%)

Counts
4 → 3
Calls
Call 1
Inputs
1
x
(/.f64 x y)
(/.f64 x (+.f64 y 1))
Outputs
1
(/.f64 x (+.f64 y 1))
1
Calls

2 calls:

53.0ms
y
16.0ms
x
Results
ErrorSegmentsBranch
22.3b3x
14.0b3y
Compiler

Compiled 18 to 11 computations (38.9% saved)

bsearch26.0ms (1.3%)

Algorithm
binary-search
Steps
TimeLeftRight
12.0ms
2.0593847254420177e+61
3.463420592274639e+62
14.0ms
-676688198320885.9
-93152224767.01875
Results
24.0ms240×body256valid
Compiler

Compiled 194 to 160 computations (17.5% saved)

regimes58.0ms (3%)

Counts
3 → 4
Calls
Call 1
Inputs
1
x
(/.f64 x y)
Outputs
1
x
(/.f64 x y)
1
Calls

2 calls:

35.0ms
y
23.0ms
x
Results
ErrorSegmentsBranch
28.0b6x
14.9b4y
Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch56.0ms (2.9%)

Algorithm
binary-search
Steps
TimeLeftRight
33.0ms
2.0593847254420177e+61
3.463420592274639e+62
7.0ms
6.565468452415575e-10
1.4896719176812371e-9
16.0ms
-2913517731.176914
-0.7960921325403143
Results
30.0ms336×body256valid
Compiler

Compiled 206 to 164 computations (20.4% saved)

regimes29.0ms (1.5%)

Accuracy

Total -45.6b remaining (-280.7%)

Threshold costs -45.6b (-280.7%)

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

2 calls:

20.0ms
x
8.0ms
y
Results
ErrorSegmentsBranch
29.2b5x
16.2b3y
Compiler

Compiled 10 to 7 computations (30% saved)

bsearch29.0ms (1.5%)

Algorithm
binary-search
Steps
TimeLeftRight
15.0ms
1.562106311926405e-21
7.688107147952009e-17
14.0ms
-2913517731.176914
-0.7960921325403143
Results
26.0ms272×body256valid
Compiler

Compiled 150 to 129 computations (14% saved)

simplify12.0ms (0.6%)

Algorithm
egg-herbie
Rules
11×+-commutative_binary64
10×cancel-sign-sub-inv_binary64
10×sub-neg_binary64
distribute-rgt-neg-in_binary64
neg-sub0_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066221
178217
294217
3119217
4139217
5143217
6148217
7157217
8161217
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y 1))
(if (<=.f64 y -3000000000) (-.f64 1 (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 4673067172681345/2596148429267413814265248164610048) (/.f64 x (+.f64 y 1)) (if (<=.f64 y 51) (/.f64 y (+.f64 y 1)) (-.f64 1 (/.f64 (-.f64 1 x) y)))))
(if (<=.f64 y -4500000000) (-.f64 1 (/.f64 (neg.f64 x) y)) (if (<=.f64 y 5451911701461569/5192296858534827628530496329220096) (/.f64 x (+.f64 y 1)) (if (<=.f64 y 2000000000) (/.f64 y (+.f64 y 1)) (-.f64 1 (/.f64 (neg.f64 x) y)))))
(if (<=.f64 y -6484356997289707/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (/.f64 y (+.f64 y 1)) (if (<=.f64 y 571152654438831/5192296858534827628530496329220096) x (if (<=.f64 y 14500000000) (/.f64 y (+.f64 y 1)) (if (<=.f64 y 200000000000000007004399371886322346092160635596623651209740288) (/.f64 x (+.f64 y 1)) 1))))
(if (<=.f64 y -56000000000000) 1 (if (<=.f64 y 91999999999999998198111832742729497877227279912223999489212416) (/.f64 x (+.f64 y 1)) 1))
(if (<=.f64 y -1) 1 (if (<=.f64 y 3530063393274717/2417851639229258349412352) x (if (<=.f64 y 21000000000000001078001380297494217793665499405524316108881920) (/.f64 x y) 1)))
(if (<=.f64 y -1) 1 (if (<=.f64 y 6084722881095501/81129638414606681695789005144064) x 1))
1
Outputs
(/.f64 (+.f64 x y) (+.f64 y 1))
(if (<=.f64 y -3000000000) (-.f64 1 (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 4673067172681345/2596148429267413814265248164610048) (/.f64 x (+.f64 y 1)) (if (<=.f64 y 51) (/.f64 y (+.f64 y 1)) (-.f64 1 (/.f64 (-.f64 1 x) y)))))
(if (<=.f64 y -3000000000) (+.f64 1 (/.f64 (+.f64 x -1) y)) (if (<=.f64 y 4673067172681345/2596148429267413814265248164610048) (/.f64 x (+.f64 y 1)) (if (<=.f64 y 51) (/.f64 y (+.f64 y 1)) (+.f64 1 (/.f64 (+.f64 x -1) y)))))
(if (<=.f64 y -4500000000) (-.f64 1 (/.f64 (neg.f64 x) y)) (if (<=.f64 y 5451911701461569/5192296858534827628530496329220096) (/.f64 x (+.f64 y 1)) (if (<=.f64 y 2000000000) (/.f64 y (+.f64 y 1)) (-.f64 1 (/.f64 (neg.f64 x) y)))))
(if (<=.f64 y -4500000000) (+.f64 1 (/.f64 x y)) (if (<=.f64 y 5451911701461569/5192296858534827628530496329220096) (/.f64 x (+.f64 y 1)) (if (<=.f64 y 2000000000) (/.f64 y (+.f64 y 1)) (+.f64 1 (/.f64 x y)))))
(if (<=.f64 y -6484356997289707/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (/.f64 y (+.f64 y 1)) (if (<=.f64 y 571152654438831/5192296858534827628530496329220096) x (if (<=.f64 y 14500000000) (/.f64 y (+.f64 y 1)) (if (<=.f64 y 200000000000000007004399371886322346092160635596623651209740288) (/.f64 x (+.f64 y 1)) 1))))
(if (<=.f64 y -56000000000000) 1 (if (<=.f64 y 91999999999999998198111832742729497877227279912223999489212416) (/.f64 x (+.f64 y 1)) 1))
(if (<=.f64 y -1) 1 (if (<=.f64 y 3530063393274717/2417851639229258349412352) x (if (<=.f64 y 21000000000000001078001380297494217793665499405524316108881920) (/.f64 x y) 1)))
(if (<=.f64 y -1) 1 (if (<=.f64 y 6084722881095501/81129638414606681695789005144064) x 1))
1
Compiler

Compiled 169 to 119 computations (29.6% saved)

soundness0.0ms (0%)

end97.0ms (4.9%)

Compiler

Compiled 155 to 104 computations (32.9% saved)

Profiling

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