Details

Time bar (total: 1.5s)

analyze145.0ms (9.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
12.5%87.4%0.1%5
18.7%81.2%0.1%6
46.8%53.1%0.1%7
54.6%45.3%0.1%8
71%28.9%0.1%9
76.1%23.8%0.1%10
84.9%15%0.1%11
87.7%12.2%0.1%12
92.2%7.7%0.1%13
93.7%6.2%0.1%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample757.0ms (50.9%)

Results
745.0ms8256×body128valid
Compiler

Compiled 20 to 14 computations (30% saved)

preprocess15.0ms (1%)

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 9 to 6 computations (33.3% saved)

simplify6.0ms (0.4%)

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))

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

Compiled 27 to 18 computations (33.3% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.3%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (+.f64 x y) (+.f64 y 1))
1.0ms
x
@0
(/.f64 (+.f64 x y) (+.f64 y 1))
1.0ms
y
@-inf
(/.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 (2.9%)

Algorithm
batch-egg-rewrite
Rules
874×log1p-expm1-u_binary64
874×expm1-log1p-u_binary64
83×add-sqr-sqrt_binary64
81×*-un-lft-identity_binary64
81×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115710
2230710
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 y 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (exp.f64 (neg.f64 (log1p.f64 y))))))) (#(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)) (exp.f64 (neg.f64 (log1p.f64 y)))))))) (#(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)) (exp.f64 (neg.f64 (log1p.f64 y)))))))) (#(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 (exp.f64 (neg.f64 (log1p.f64 y))) (+.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 (sqrt.f64 (+.f64 y 1))) (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (+.f64 y 1))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 y 1))))))) (#(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 log.f64 (+.f64 1 (expm1.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 exp.f64 (-.f64 (log.f64 (+.f64 x y)) (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 x y)) (log1p.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 expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))))))

simplify25.0ms (1.7%)

Algorithm
egg-herbie
Rules
269×sub-neg_binary64
244×fma-neg_binary64
227×associate-+l+_binary64
209×unsub-neg_binary64
197×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
053408
1155406
2498362
32098350
Stop Event
node limit
Counts
59 → 58
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))))))
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 (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.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 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 (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.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 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 (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.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)))
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 y (*.f64 y (-.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)))
(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 (*.f64 y y) (+.f64 x -1) 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 y y)) (+.f64 (/.f64 x y) (-.f64 1 (+.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 x -1) y) (/.f64 (+.f64 x -1) (*.f64 y 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 1 y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))))
(+.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.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 (+.f64 x -1) (pow.f64 y 3)) (+.f64 1 (-.f64 (/.f64 (+.f64 x -1) y) (/.f64 (+.f64 x -1) (*.f64 y y)))))
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 y y)) (+.f64 (/.f64 x y) (-.f64 1 (+.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 x -1) y) (/.f64 (+.f64 x -1) (*.f64 y 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 1 y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))))
(+.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.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 (+.f64 x -1) (pow.f64 y 3)) (+.f64 1 (-.f64 (/.f64 (+.f64 x -1) y) (/.f64 (+.f64 x -1) (*.f64 y y)))))

prune39.0ms (2.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New56258
Fresh000
Picked101
Done000
Total57259
Error
0b
Counts
59 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
20.6b
(*.f64 (+.f64 x y) (exp.f64 (neg.f64 (log1p.f64 y))))
Compiler

Compiled 797 to 478 computations (40% saved)

localize8.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

series5.0ms (0.3%)

Counts
2 → 24
Calls

9 calls:

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

rewrite42.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
796×log1p-expm1-u_binary64
796×expm1-log1p-u_binary64
77×add-sqr-sqrt_binary64
75×*-un-lft-identity_binary64
75×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
115114
2211114
Stop Event
node limit
Counts
2 → 70
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 y))
(/.f64 y (+.f64 1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 1 y))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 y))) 2) (cbrt.f64 (/.f64 x (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 1 y))) (sqrt.f64 (/.f64 x (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (/.f64 x (cbrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 y))) (/.f64 x (hypot.f64 1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 y))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 y 3))) (+.f64 1 (-.f64 (*.f64 y y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (+.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (+.f64 1 y))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 1 y))) 2) (cbrt.f64 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (+.f64 1 y))) (sqrt.f64 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (/.f64 y (cbrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 y))) (/.f64 y (hypot.f64 1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (cbrt.f64 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (hypot.f64 1 (sqrt.f64 y))) (/.f64 (cbrt.f64 y) (hypot.f64 1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 1 (pow.f64 y 3))) (+.f64 1 (-.f64 (*.f64 y y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 y) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 y) (log1p.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 1 y))))))))

simplify38.0ms (2.6%)

Algorithm
egg-herbie
Rules
773×fma-def_binary64
233×fma-neg_binary64
230×associate-*l*_binary64
228×cancel-sign-sub-inv_binary64
175×associate-+l-_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044340
1124323
2349313
31124297
44890297
Stop Event
node limit
Counts
94 → 98
Calls
Call 1
Inputs
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))))
y
(+.f64 (*.f64 -1 (pow.f64 y 2)) y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) (+.f64 y (*.f64 -1 (pow.f64 y 4)))))
1
(-.f64 1 (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
1
(-.f64 1 (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
Outputs
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))
(fma.f64 x (*.f64 y y) (-.f64 x (*.f64 x y)))
(fma.f64 x (*.f64 y (+.f64 -1 y)) x)
(*.f64 x (fma.f64 y y (-.f64 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 (fma.f64 x (*.f64 y y) (-.f64 x (*.f64 x y))) (*.f64 x (pow.f64 y 3)))
(-.f64 (fma.f64 x (*.f64 y (+.f64 -1 y)) x) (*.f64 x (pow.f64 y 3)))
(fma.f64 x (*.f64 y (-.f64 y (fma.f64 y y 1))) x)
(/.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 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (*.f64 y y))))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y) (/.f64 x (pow.f64 y 3)))
(+.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 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4)))
(-.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) (/.f64 x (pow.f64 y 4)))))
(-.f64 (fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y) (/.f64 x (pow.f64 y 3))) (/.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 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (*.f64 y y))))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y) (/.f64 x (pow.f64 y 3)))
(+.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 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4)))
(-.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) (/.f64 x (pow.f64 y 4)))))
(-.f64 (fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4)))
y
(+.f64 (*.f64 -1 (pow.f64 y 2)) y)
(fma.f64 -1 (*.f64 y y) y)
(-.f64 y (*.f64 y y))
(*.f64 y (-.f64 1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) y))
(fma.f64 -1 (*.f64 y y) (+.f64 y (pow.f64 y 3)))
(+.f64 y (*.f64 (*.f64 y y) (+.f64 -1 y)))
(*.f64 y (-.f64 (fma.f64 y y 1) y))
(*.f64 y (fma.f64 y y (-.f64 1 y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) (+.f64 y (*.f64 -1 (pow.f64 y 4)))))
(fma.f64 -1 (*.f64 y y) (+.f64 (pow.f64 y 3) (+.f64 y (neg.f64 (pow.f64 y 4)))))
(+.f64 (-.f64 y (pow.f64 y 4)) (*.f64 (*.f64 y y) (+.f64 -1 y)))
(-.f64 (*.f64 y (-.f64 (fma.f64 y y 1) y)) (pow.f64 y 4))
(*.f64 (fma.f64 y y 1) (*.f64 y (-.f64 1 y)))
1
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
(-.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y))) (/.f64 1 (pow.f64 y 3)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3)))))
1
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
(-.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y))) (/.f64 1 (pow.f64 y 3)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3)))))

prune56.0ms (3.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New98098
Fresh011
Picked011
Done000
Total982100
Error
0b
Counts
100 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
20.6b
(*.f64 (+.f64 x y) (exp.f64 (neg.f64 (log1p.f64 y))))
Compiler

Compiled 1632 to 1084 computations (33.6% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 x y) (exp.f64 (neg.f64 (log1p.f64 y))))
1.1b
(exp.f64 (neg.f64 (log1p.f64 y)))

series14.0ms (0.9%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
8.0ms
x
@0
(*.f64 (+.f64 x y) (exp.f64 (neg.f64 (log1p.f64 y))))
1.0ms
y
@0
(exp.f64 (neg.f64 (log1p.f64 y)))
1.0ms
y
@-inf
(*.f64 (+.f64 x y) (exp.f64 (neg.f64 (log1p.f64 y))))
1.0ms
y
@-inf
(exp.f64 (neg.f64 (log1p.f64 y)))
1.0ms
y
@inf
(*.f64 (+.f64 x y) (exp.f64 (neg.f64 (log1p.f64 y))))

rewrite41.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
807×pow1_binary64
747×expm1-log1p-u_binary64
746×log1p-expm1-u_binary64
87×add-sqr-sqrt_binary64
84×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0820
116714
2228214
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (log1p.f64 y)))
(*.f64 (+.f64 x y) (exp.f64 (neg.f64 (log1p.f64 y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 y 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 y 1)) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2) (cbrt.f64 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 y 3)) (+.f64 1 (-.f64 (*.f64 y y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log1p.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 y))) (sqrt.f64 (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 y)) 2)) (cbrt.f64 (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log1p.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 y 1)) (*.f64 x (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 y 1)) (*.f64 y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y 1) y) (*.f64 (+.f64 y 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y 1) x) (*.f64 (+.f64 y 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y 1) (+.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y x) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (+.f64 y 1) (fma.f64 x x (*.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (+.f64 y 1) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) 1) (*.f64 (-.f64 x y) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 y 1)) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y 1)) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y 1) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y 1) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 y 1) (+.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 y 1) (+.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 y 1) (+.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 y 1) (+.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 y 1) (+.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 y x)) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 y 1) (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 y 1) (+.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 y 1) 3) (pow.f64 (+.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (+.f64 y 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 y) (log.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 (+.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 y 1) (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 y 1) (+.f64 y x))))))))

simplify30.0ms (2%)

Algorithm
egg-herbie
Rules
628×fma-def_binary64
503×associate-+l+_binary64
440×associate-+r+_binary64
241×+-commutative_binary64
165×associate-+l-_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01001108
1324840
21075544
Stop Event
node limit
Counts
92 → 108
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 y))
(+.f64 1 (+.f64 (pow.f64 y 2) (*.f64 -1 y)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (*.f64 -1 y))))
(exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) y)))
(+.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) y)) (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) (pow.f64 y 3))) (+.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) y)) (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) (pow.f64 y 2)))))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (*.f64 -1 (/.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y)))
(+.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (+.f64 (/.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 2)) (*.f64 -1 (/.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y))))
(+.f64 (*.f64 -1 (/.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 3))) (+.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (+.f64 (/.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 2)) (*.f64 -1 (/.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y)))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) y)
(+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) y))
(+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) y))
(+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) y))
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x)
(+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) y))
(+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) y))
(+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) y))
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x)
(+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) y))
(+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) y))
(+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) y))
x
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 x 1)) x))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 1 (*.f64 -1 x))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 x 1)) x)))
(*.f64 y (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))))
(+.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y)))))) (*.f64 y (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))))))
(+.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) y)) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y)))))) (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) y) (*.f64 y (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))))))))
(+.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) y)) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y)))))) (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) y) (+.f64 (*.f64 y (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y)))))) (/.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (pow.f64 y 2))))))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y)
(+.f64 (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) (+.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y)))
(+.f64 (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) (+.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (+.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x)) y)))))
(+.f64 (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) (+.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (+.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x)) y)))))))
Outputs
1
(+.f64 1 (*.f64 -1 y))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(+.f64 1 (+.f64 (pow.f64 y 2) (*.f64 -1 y)))
(+.f64 1 (+.f64 (neg.f64 y) (*.f64 y y)))
(+.f64 1 (-.f64 (*.f64 y y) y))
(-.f64 (fma.f64 y y 1) y)
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (*.f64 -1 y))))
(+.f64 1 (fma.f64 -1 (pow.f64 y 3) (+.f64 (neg.f64 y) (*.f64 y y))))
(+.f64 1 (-.f64 (-.f64 (*.f64 y y) y) (pow.f64 y 3)))
(-.f64 (-.f64 (fma.f64 y y 1) y) (pow.f64 y 3))
(exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(exp.f64 (*.f64 1 (neg.f64 (log.f64 y))))
(exp.f64 (neg.f64 (log.f64 y)))
(/.f64 1 y)
(+.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) y)))
(+.f64 (exp.f64 (*.f64 1 (neg.f64 (log.f64 y)))) (/.f64 (neg.f64 (exp.f64 (*.f64 1 (neg.f64 (log.f64 y))))) y))
(-.f64 (exp.f64 (neg.f64 (log.f64 y))) (/.f64 (exp.f64 (neg.f64 (log.f64 y))) y))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) y)) (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) (pow.f64 y 2))))
(+.f64 (exp.f64 (*.f64 1 (neg.f64 (log.f64 y)))) (fma.f64 -1 (/.f64 (exp.f64 (*.f64 1 (neg.f64 (log.f64 y)))) y) (/.f64 (exp.f64 (*.f64 1 (neg.f64 (log.f64 y)))) (*.f64 y y))))
(+.f64 (exp.f64 (neg.f64 (log.f64 y))) (-.f64 (/.f64 (exp.f64 (neg.f64 (log.f64 y))) (*.f64 y y)) (/.f64 (exp.f64 (neg.f64 (log.f64 y))) y)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 -1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) (pow.f64 y 3))) (+.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) y)) (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) (pow.f64 y 2)))))
(fma.f64 -1 (/.f64 (exp.f64 (*.f64 1 (neg.f64 (log.f64 y)))) (pow.f64 y 3)) (+.f64 (exp.f64 (*.f64 1 (neg.f64 (log.f64 y)))) (fma.f64 -1 (/.f64 (exp.f64 (*.f64 1 (neg.f64 (log.f64 y)))) y) (/.f64 (exp.f64 (*.f64 1 (neg.f64 (log.f64 y)))) (*.f64 y y)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 (log.f64 y))) (-.f64 (/.f64 (exp.f64 (neg.f64 (log.f64 y))) (*.f64 y y)) (/.f64 (exp.f64 (neg.f64 (log.f64 y))) y))) (/.f64 (exp.f64 (neg.f64 (log.f64 y))) (pow.f64 y 3)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 -1 (*.f64 y y)) (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 1 (pow.f64 y 3)))))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(exp.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(exp.f64 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(neg.f64 (/.f64 -1 y))
(+.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (*.f64 -1 (/.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) (/.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))) y))
(-.f64 (exp.f64 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (/.f64 (exp.f64 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1))) y))
(fma.f64 (/.f64 -1 y) -1 (/.f64 -1 (*.f64 y y)))
(+.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (+.f64 (/.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 2)) (*.f64 -1 (/.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y))))
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prune60.0ms (4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1080108
Fresh000
Picked011
Done011
Total1082110
Error
0b
Counts
110 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
20.6b
(*.f64 (+.f64 x y) (exp.f64 (neg.f64 (log1p.f64 y))))
Compiler

Compiled 1868 to 1248 computations (33.2% saved)

regimes99.0ms (6.7%)

Accuracy

Total 0.0b remaining (65.8%)

Threshold costs 0.0b (65.8%)

Counts
47 → 1
Compiler

Compiled 382 to 215 computations (43.7% saved)

simplify4.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11216
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
Outputs
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))

end43.0ms (2.9%)

Stop Event
done
Compiler

Compiled 49 to 34 computations (30.6% saved)

Profiling

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