Details

Time bar (total: 1.3s)

analyze138.0ms (11%)

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
0%99.9%0.1%5
18.7%81.2%0.1%6
46.8%53.1%0.1%7
56.2%43.7%0.1%8
71%28.9%0.1%9
76.5%23.4%0.1%10
84.9%15%0.1%11
87.8%12.1%0.1%12
92.2%7.7%0.1%13
93.8%6.1%0.1%14
Compiler

Compiled 10 to 6 computations (40% saved)

sample686.0ms (54.7%)

Results
674.0ms8256×body128valid
Compiler

Compiled 20 to 12 computations (40% saved)

preprocess58.0ms (4.6%)

Algorithm
egg-herbie
Rules
660×fma-neg_binary64
445×div-sub_binary64
433×times-frac_binary64
346×fma-def_binary64
238×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
11420
22220
33420
45620
510720
615320
727520
869020
9193120
10313720
11359220
12380220
13391020
14396420
15396420
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (+.f64 y x) (-.f64 y x))
Outputs
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (+.f64 y x) (-.f64 y x))
(/.f64 (+.f64 x y) (-.f64 y x))
Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify48.0ms (3.8%)

Algorithm
egg-herbie
Rules
516×fma-neg_binary64
439×fma-def_binary64
362×div-sub_binary64
361×times-frac_binary64
137×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
1910
21410
32110
43110
55410
69110
713410
821410
943910
10109910
11180410
12267410
13312110
14327710
15329910
16331910
17331910
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
Outputs
(/.f64 (+.f64 x y) (-.f64 x y))

prune1.0ms (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 x y))
Compiler

Compiled 27 to 15 computations (44.4% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.7%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
(/.f64 (+.f64 x y) (-.f64 x y))
1.0ms
x
@0
(/.f64 (+.f64 x y) (-.f64 x y))
1.0ms
x
@inf
(/.f64 (+.f64 x y) (-.f64 x y))
1.0ms
x
@-inf
(/.f64 (+.f64 x y) (-.f64 x y))
1.0ms
y
@inf
(/.f64 (+.f64 x y) (-.f64 x y))

rewrite43.0ms (3.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
114010
2215910
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(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 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (neg.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 x 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 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x y) (neg.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (-.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))))))

simplify23.0ms (1.9%)

Algorithm
egg-herbie
Rules
823×associate-/l*_binary64
492×associate-/r*_binary64
361×associate-/r/_binary64
338×cancel-sign-sub-inv_binary64
194×associate-/l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038417
1121399
2382339
31513327
Stop Event
node limit
Counts
59 → 49
Calls
Call 1
Inputs
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) 1))
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))
1
(+.f64 (*.f64 2 (/.f64 y x)) 1)
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
1
(+.f64 (*.f64 2 (/.f64 y x)) 1)
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
1
(+.f64 (*.f64 2 (/.f64 y x)) 1)
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) 1))
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) 1))
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))
Outputs
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) 1))
(neg.f64 (fma.f64 2 (/.f64 x y) 1))
(+.f64 -1 (*.f64 (/.f64 x y) -2))
(fma.f64 (/.f64 x y) -2 -1)
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(neg.f64 (+.f64 (fma.f64 2 (/.f64 x y) 1) (*.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)))))
(-.f64 (*.f64 (/.f64 x y) -2) (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
(-.f64 -1 (*.f64 2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y))))
(+.f64 -1 (*.f64 (/.f64 x y) (-.f64 -2 (*.f64 2 (/.f64 x y)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))
(neg.f64 (+.f64 (fma.f64 2 (/.f64 x y) 1) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (*.f64 x x) (*.f64 y y))))))
(-.f64 (*.f64 (/.f64 x y) -2) (fma.f64 2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) 1))
(-.f64 -1 (*.f64 2 (+.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 3)))))
(-.f64 -1 (*.f64 (/.f64 2 y) (+.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (*.f64 (/.f64 x y) x)))))
1
(+.f64 (*.f64 2 (/.f64 y x)) 1)
(fma.f64 2 (/.f64 y x) 1)
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
(fma.f64 2 (/.f64 y x) (fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) 1))
(fma.f64 2 (/.f64 y x) (fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(fma.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) 1)
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(fma.f64 2 (/.f64 y x) (fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(fma.f64 2 (/.f64 y x) (fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 1)))
(fma.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) (fma.f64 2 (pow.f64 (/.f64 y x) 3) 1))
1
(+.f64 (*.f64 2 (/.f64 y x)) 1)
(fma.f64 2 (/.f64 y x) 1)
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
(fma.f64 2 (/.f64 y x) (fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) 1))
(fma.f64 2 (/.f64 y x) (fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(fma.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) 1)
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(fma.f64 2 (/.f64 y x) (fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(fma.f64 2 (/.f64 y x) (fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 1)))
(fma.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) (fma.f64 2 (pow.f64 (/.f64 y x) 3) 1))
1
(+.f64 (*.f64 2 (/.f64 y x)) 1)
(fma.f64 2 (/.f64 y x) 1)
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
(fma.f64 2 (/.f64 y x) (fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) 1))
(fma.f64 2 (/.f64 y x) (fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(fma.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) 1)
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(fma.f64 2 (/.f64 y x) (fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(fma.f64 2 (/.f64 y x) (fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 1)))
(fma.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) (fma.f64 2 (pow.f64 (/.f64 y x) 3) 1))
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) 1))
(neg.f64 (fma.f64 2 (/.f64 x y) 1))
(+.f64 -1 (*.f64 (/.f64 x y) -2))
(fma.f64 (/.f64 x y) -2 -1)
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(neg.f64 (+.f64 (fma.f64 2 (/.f64 x y) 1) (*.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)))))
(-.f64 (*.f64 (/.f64 x y) -2) (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
(-.f64 -1 (*.f64 2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y))))
(+.f64 -1 (*.f64 (/.f64 x y) (-.f64 -2 (*.f64 2 (/.f64 x y)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))
(neg.f64 (+.f64 (fma.f64 2 (/.f64 x y) 1) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (*.f64 x x) (*.f64 y y))))))
(-.f64 (*.f64 (/.f64 x y) -2) (fma.f64 2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) 1))
(-.f64 -1 (*.f64 2 (+.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 3)))))
(-.f64 -1 (*.f64 (/.f64 2 y) (+.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (*.f64 (/.f64 x y) x)))))
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) 1))
(neg.f64 (fma.f64 2 (/.f64 x y) 1))
(+.f64 -1 (*.f64 (/.f64 x y) -2))
(fma.f64 (/.f64 x y) -2 -1)
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(neg.f64 (+.f64 (fma.f64 2 (/.f64 x y) 1) (*.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)))))
(-.f64 (*.f64 (/.f64 x y) -2) (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
(-.f64 -1 (*.f64 2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y))))
(+.f64 -1 (*.f64 (/.f64 x y) (-.f64 -2 (*.f64 2 (/.f64 x y)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))
(neg.f64 (+.f64 (fma.f64 2 (/.f64 x y) 1) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (*.f64 x x) (*.f64 y y))))))
(-.f64 (*.f64 (/.f64 x y) -2) (fma.f64 2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) 1))
(-.f64 -1 (*.f64 2 (+.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 3)))))
(-.f64 -1 (*.f64 (/.f64 2 y) (+.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (*.f64 (/.f64 x y) x)))))

prune26.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New46349
Fresh000
Picked011
Done000
Total46450
Error
0b
Counts
50 → 4
Alt Table
StatusErrorProgram
0.0b
(/.f64 (+.f64 x y) (-.f64 x y))
29.0b
(fma.f64 (/.f64 x y) -2 -1)
0.1b
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))
33.8b
(fma.f64 2 (/.f64 y x) 1)
Compiler

Compiled 703 to 300 computations (57.3% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

series5.0ms (0.4%)

Counts
2 → 48
Calls

12 calls:

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

rewrite46.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
909×log1p-expm1-u_binary64
909×expm1-log1p-u_binary64
90×add-sqr-sqrt_binary64
87×*-un-lft-identity_binary64
87×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
117617
2247817
Stop Event
node limit
Counts
2 → 66
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))
(/.f64 1 (-.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1 (-.f64 x y))) (*.f64 y (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 1 (-.f64 x y))) (*.f64 x (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 x y)) x) (*.f64 (/.f64 1 (-.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 x y)) y) (*.f64 (/.f64 1 (-.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x y) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (-.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x y)) (neg.f64 (-.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 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 1) (pow.f64 (-.f64 x y) 2))))) (#(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))) (neg.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) -1) (*.f64 (-.f64 x y) (neg.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (neg.f64 (-.f64 x y)) (fma.f64 x x (*.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x y) 1) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x y) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 (-.f64 x y))) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 x y)) (neg.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) -1) (neg.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (-.f64 x y)) (+.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 1 (-.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (-.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (/.f64 1 (-.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 x y)) 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 x y))) (cbrt.f64 (pow.f64 (-.f64 x y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 x y) -2)) (/.f64 1 (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 x y) -1/2) (pow.f64 (-.f64 x y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 x y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 x y)) -1) (pow.f64 (sqrt.f64 (-.f64 x y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x y) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 x y))) 1))))))

simplify38.0ms (3%)

Algorithm
egg-herbie
Rules
489×cancel-sign-sub-inv_binary64
457×associate-/r/_binary64
348×associate-/l/_binary64
264×fma-neg_binary64
183×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063909
1180873
2580777
32309756
Stop Event
node limit
Counts
114 → 94
Calls
Call 1
Inputs
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) 1))
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))
1
(+.f64 (*.f64 2 (/.f64 y x)) 1)
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
1
(+.f64 (*.f64 2 (/.f64 y x)) 1)
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
1
(+.f64 (*.f64 2 (/.f64 y x)) 1)
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) 1))
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) 1))
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (/.f64 (pow.f64 x 2) (pow.f64 y 3))))))
(/.f64 1 x)
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (/.f64 (pow.f64 x 2) (pow.f64 y 3))))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (/.f64 (pow.f64 x 2) (pow.f64 y 3))))))
Outputs
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) 1))
(neg.f64 (fma.f64 2 (/.f64 x y) 1))
(+.f64 -1 (*.f64 (/.f64 x y) -2))
(fma.f64 (/.f64 x y) -2 -1)
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(neg.f64 (+.f64 (fma.f64 2 (/.f64 x y) 1) (*.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)))))
(-.f64 (*.f64 (/.f64 x y) -2) (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
(-.f64 -1 (*.f64 2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y))))
(-.f64 -1 (*.f64 (+.f64 (/.f64 x y) 1) (*.f64 2 (/.f64 x y))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))
(neg.f64 (+.f64 (fma.f64 2 (/.f64 x y) 1) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (*.f64 x x) (*.f64 y y))))))
(-.f64 (*.f64 (/.f64 x y) -2) (fma.f64 2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) 1))
(-.f64 -1 (*.f64 2 (+.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 3)))))
(fma.f64 (/.f64 x y) -2 (fma.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 3)) -2 -1))
1
(+.f64 (*.f64 2 (/.f64 y x)) 1)
(fma.f64 2 (/.f64 y x) 1)
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
(fma.f64 2 (/.f64 y x) (fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) 1))
(fma.f64 2 (/.f64 y x) (fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(fma.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) 1)
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(fma.f64 2 (/.f64 y x) (fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(fma.f64 2 (/.f64 y x) (fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 1)))
(fma.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) (fma.f64 2 (pow.f64 (/.f64 y x) 3) 1))
1
(+.f64 (*.f64 2 (/.f64 y x)) 1)
(fma.f64 2 (/.f64 y x) 1)
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
(fma.f64 2 (/.f64 y x) (fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) 1))
(fma.f64 2 (/.f64 y x) (fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(fma.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) 1)
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(fma.f64 2 (/.f64 y x) (fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(fma.f64 2 (/.f64 y x) (fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 1)))
(fma.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) (fma.f64 2 (pow.f64 (/.f64 y x) 3) 1))
1
(+.f64 (*.f64 2 (/.f64 y x)) 1)
(fma.f64 2 (/.f64 y x) 1)
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
(fma.f64 2 (/.f64 y x) (fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) 1))
(fma.f64 2 (/.f64 y x) (fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(fma.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) 1)
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(fma.f64 2 (/.f64 y x) (fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(fma.f64 2 (/.f64 y x) (fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 1)))
(fma.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) (fma.f64 2 (pow.f64 (/.f64 y x) 3) 1))
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) 1))
(neg.f64 (fma.f64 2 (/.f64 x y) 1))
(+.f64 -1 (*.f64 (/.f64 x y) -2))
(fma.f64 (/.f64 x y) -2 -1)
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(neg.f64 (+.f64 (fma.f64 2 (/.f64 x y) 1) (*.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)))))
(-.f64 (*.f64 (/.f64 x y) -2) (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
(-.f64 -1 (*.f64 2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y))))
(-.f64 -1 (*.f64 (+.f64 (/.f64 x y) 1) (*.f64 2 (/.f64 x y))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))
(neg.f64 (+.f64 (fma.f64 2 (/.f64 x y) 1) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (*.f64 x x) (*.f64 y y))))))
(-.f64 (*.f64 (/.f64 x y) -2) (fma.f64 2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) 1))
(-.f64 -1 (*.f64 2 (+.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 3)))))
(fma.f64 (/.f64 x y) -2 (fma.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 3)) -2 -1))
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) 1))
(neg.f64 (fma.f64 2 (/.f64 x y) 1))
(+.f64 -1 (*.f64 (/.f64 x y) -2))
(fma.f64 (/.f64 x y) -2 -1)
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(neg.f64 (+.f64 (fma.f64 2 (/.f64 x y) 1) (*.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)))))
(-.f64 (*.f64 (/.f64 x y) -2) (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
(-.f64 -1 (*.f64 2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y))))
(-.f64 -1 (*.f64 (+.f64 (/.f64 x y) 1) (*.f64 2 (/.f64 x y))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 x y)) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))
(neg.f64 (+.f64 (fma.f64 2 (/.f64 x y) 1) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (*.f64 x x) (*.f64 y y))))))
(-.f64 (*.f64 (/.f64 x y) -2) (fma.f64 2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) 1))
(-.f64 -1 (*.f64 2 (+.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 3)))))
(fma.f64 (/.f64 x y) -2 (fma.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 3)) -2 -1))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 -1 y) (/.f64 (/.f64 x y) y))
(-.f64 (/.f64 -1 y) (/.f64 x (*.f64 y y)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 x x) (pow.f64 y 3)))))
(-.f64 (-.f64 (/.f64 -1 y) (/.f64 (/.f64 x y) y)) (/.f64 x (/.f64 (pow.f64 y 3) x)))
(-.f64 (/.f64 -1 y) (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x (*.f64 y y))))
(+.f64 (/.f64 -1 y) (*.f64 (/.f64 x (*.f64 y y)) (-.f64 -1 (/.f64 x y))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (/.f64 (pow.f64 x 2) (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(-.f64 (-.f64 (/.f64 -1 y) (/.f64 (/.f64 x y) y)) (+.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))
(-.f64 (-.f64 (/.f64 -1 y) (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x (*.f64 y y)))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))
(+.f64 (/.f64 -1 y) (*.f64 (/.f64 x (*.f64 y y)) (-.f64 -1 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)))))
(/.f64 1 x)
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 y (*.f64 x x)))
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 (*.f64 y y) (pow.f64 x 3))))
(+.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))))
(+.f64 (/.f64 1 x) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 y (*.f64 x x)))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y (*.f64 x x)))))
(/.f64 1 x)
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 y (*.f64 x x)))
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 (*.f64 y y) (pow.f64 x 3))))
(+.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))))
(+.f64 (/.f64 1 x) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 y (*.f64 x x)))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y (*.f64 x x)))))
(/.f64 1 x)
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 y (*.f64 x x)))
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 (*.f64 y y) (pow.f64 x 3))))
(+.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))))
(+.f64 (/.f64 1 x) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 y (*.f64 x x)))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y (*.f64 x x)))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 -1 y) (/.f64 (/.f64 x y) y))
(-.f64 (/.f64 -1 y) (/.f64 x (*.f64 y y)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 x x) (pow.f64 y 3)))))
(-.f64 (-.f64 (/.f64 -1 y) (/.f64 (/.f64 x y) y)) (/.f64 x (/.f64 (pow.f64 y 3) x)))
(-.f64 (/.f64 -1 y) (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x (*.f64 y y))))
(+.f64 (/.f64 -1 y) (*.f64 (/.f64 x (*.f64 y y)) (-.f64 -1 (/.f64 x y))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (/.f64 (pow.f64 x 2) (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(-.f64 (-.f64 (/.f64 -1 y) (/.f64 (/.f64 x y) y)) (+.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))
(-.f64 (-.f64 (/.f64 -1 y) (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x (*.f64 y y)))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))
(+.f64 (/.f64 -1 y) (*.f64 (/.f64 x (*.f64 y y)) (-.f64 -1 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 -1 y) (/.f64 (/.f64 x y) y))
(-.f64 (/.f64 -1 y) (/.f64 x (*.f64 y y)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 x x) (pow.f64 y 3)))))
(-.f64 (-.f64 (/.f64 -1 y) (/.f64 (/.f64 x y) y)) (/.f64 x (/.f64 (pow.f64 y 3) x)))
(-.f64 (/.f64 -1 y) (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x (*.f64 y y))))
(+.f64 (/.f64 -1 y) (*.f64 (/.f64 x (*.f64 y y)) (-.f64 -1 (/.f64 x y))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (/.f64 (pow.f64 x 2) (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(-.f64 (-.f64 (/.f64 -1 y) (/.f64 (/.f64 x y) y)) (+.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))
(-.f64 (-.f64 (/.f64 -1 y) (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x (*.f64 y y)))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))
(+.f64 (/.f64 -1 y) (*.f64 (/.f64 x (*.f64 y y)) (-.f64 -1 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)))))

prune50.0ms (4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh022
Picked011
Done011
Total94498
Error
0b
Counts
98 → 4
Alt Table
StatusErrorProgram
0.0b
(/.f64 (+.f64 x y) (-.f64 x y))
29.0b
(fma.f64 (/.f64 x y) -2 -1)
0.1b
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))
33.8b
(fma.f64 2 (/.f64 y x) 1)
Compiler

Compiled 1376 to 625 computations (54.6% saved)

localize4.0ms (0.3%)

prune2.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044
Error
0b
Counts
4 → 4
Alt Table
StatusErrorProgram
0.0b
(/.f64 (+.f64 x y) (-.f64 x y))
29.0b
(fma.f64 (/.f64 x y) -2 -1)
0.1b
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))
33.8b
(fma.f64 2 (/.f64 y x) 1)
Compiler

Compiled 44 to 30 computations (31.8% saved)

localize5.0ms (0.4%)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done033
Total044
Error
0b
Counts
4 → 4
Alt Table
StatusErrorProgram
0.0b
(/.f64 (+.f64 x y) (-.f64 x y))
29.0b
(fma.f64 (/.f64 x y) -2 -1)
0.1b
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))
33.8b
(fma.f64 2 (/.f64 y x) 1)
Compiler

Compiled 36 to 24 computations (33.3% saved)

regimes14.0ms (1.1%)

Accuracy

Total 0.0b remaining (57.6%)

Threshold costs 0.0b (57.6%)

Counts
8 → 1
Compiler

Compiled 62 to 36 computations (41.9% saved)

simplify2.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
1910
21410
31610
41710
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
Outputs
(/.f64 (+.f64 x y) (-.f64 x y))

end48.0ms (3.8%)

Stop Event
done
Compiler

Compiled 54 to 34 computations (37% saved)

Profiling

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