Details

Time bar (total: 3.7s)

analyze98.0ms (2.7%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
12.5%87.4%0.1%5
25%74.9%0.1%6
40.6%59.3%0.1%7
53.1%46.8%0.1%8
66.3%33.6%0.1%9
74.1%25.8%0.1%10
82.1%17.8%0.1%11
86.4%13.5%0.1%12
Compiler

Compiled 14 to 10 computations (28.6% saved)

sample1.0s (28.2%)

Results
1.0s8256×body256valid

preprocess157.0ms (4.3%)

Algorithm
2×egg-herbie
Rules
1208×fma-neg_binary64
549×fma-def_binary64
520×div-sub_binary64
492×associate-/r/_binary64
385×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01532
12832
24328
36528
49528
516528
629228
755728
8117528
9191228
10308428
11552028
12648228
13666028
14676028
15676028
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
(-.f64 y (/.f64 x (+.f64 1 (/.f64 (*.f64 y x) 2))))
Outputs
(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
(-.f64 x (/.f64 y (+.f64 1 (/.f64 x (/.f64 2 y)))))
(-.f64 x (/.f64 y (+.f64 1 (*.f64 (/.f64 y 2) x))))
(-.f64 x (/.f64 y (fma.f64 (/.f64 x 2) y 1)))
(-.f64 x (/.f64 y (fma.f64 x (/.f64 y 2) 1)))
(-.f64 x (/.f64 y (fma.f64 x (*.f64 1/2 y) 1)))
(-.f64 x (/.f64 y (fma.f64 x (*.f64 y 1/2) 1)))
(+.f64 x (/.f64 y (fma.f64 x (*.f64 y -1/2) -1)))
(+.f64 x (/.f64 1 (fma.f64 x -1/2 (/.f64 -1 y))))
(-.f64 y (/.f64 x (+.f64 1 (/.f64 (*.f64 y x) 2))))
(-.f64 y (/.f64 x (+.f64 1 (/.f64 x (/.f64 2 y)))))
(-.f64 y (/.f64 x (+.f64 1 (*.f64 (/.f64 y 2) x))))
(-.f64 y (/.f64 x (fma.f64 (/.f64 x 2) y 1)))
(-.f64 y (/.f64 x (fma.f64 x (/.f64 y 2) 1)))
(-.f64 y (/.f64 x (fma.f64 x (*.f64 1/2 y) 1)))
(-.f64 y (/.f64 x (fma.f64 x (*.f64 y 1/2) 1)))
(+.f64 y (/.f64 x (fma.f64 x (*.f64 y -1/2) -1)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify145.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
1478×fma-neg_binary64
989×div-sub_binary64
824×associate-/l/_binary64
519×fma-def_binary64
450×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01016
11816
22814
34114
46014
59614
617214
725414
849714
9105614
10177114
11387814
12639314
13695014
14711614
15714614
16715214
17715214
18777514
19788714
20788714
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
Outputs
(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
(-.f64 x (/.f64 y (+.f64 1 (/.f64 x (/.f64 2 y)))))
(-.f64 x (/.f64 y (+.f64 1 (*.f64 (/.f64 x 2) y))))
(-.f64 x (/.f64 y (fma.f64 (/.f64 x 2) y 1)))
(-.f64 x (/.f64 y (fma.f64 y (/.f64 x 2) 1)))
(-.f64 x (/.f64 y (fma.f64 x (/.f64 y 2) 1)))
(-.f64 x (/.f64 y (fma.f64 x (*.f64 1/2 y) 1)))
(+.f64 x (/.f64 y (fma.f64 x (/.f64 y -2) -1)))
(+.f64 x (/.f64 y (fma.f64 x (*.f64 y -1/2) -1)))
(+.f64 x (/.f64 1 (fma.f64 x -1/2 (/.f64 -1 y))))

eval1.0ms (0%)

Compiler

Compiled 23 to 16 computations (30.4% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
▶0.0b
(+.f64 x (/.f64 1 (fma.f64 x -1/2 (/.f64 -1 y))))
Compiler

Compiled 25 to 18 computations (28% saved)

localize14.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x -1/2 (/.f64 -1 y))
✓0.1b
(/.f64 1 (fma.f64 x -1/2 (/.f64 -1 y)))
Compiler

Compiled 34 to 24 computations (29.4% saved)

series28.0ms (0.8%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
23.0ms
x
@inf
(/.f64 1 (fma.f64 x -1/2 (/.f64 -1 y)))
1.0ms
x
@0
(/.f64 1 (fma.f64 x -1/2 (/.f64 -1 y)))
1.0ms
y
@inf
(/.f64 1 (fma.f64 x -1/2 (/.f64 -1 y)))
1.0ms
x
@-inf
(/.f64 1 (fma.f64 x -1/2 (/.f64 -1 y)))
1.0ms
y
@-inf
(/.f64 1 (fma.f64 x -1/2 (/.f64 -1 y)))

rewrite61.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
777×pow1_binary64
715×add-log-exp_binary64
714×log1p-expm1-u_binary64
714×expm1-log1p-u_binary64
701×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
117919
2197519
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(/.f64 1 (fma.f64 x -1/2 (/.f64 -1 y)))
(fma.f64 x -1/2 (/.f64 -1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (fma.f64 x -1/2 (/.f64 -1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x -1/2 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x -1/2 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x -1/2 (/.f64 -1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 (/.f64 -1 y)))) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 -1 y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 -1 y)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 -1 y)) -1/2) (pow.f64 (fma.f64 x -1/2 (/.f64 -1 y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 -1 y))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 -1 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 -1 y))) -1) (pow.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 -1 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -1/2 (/.f64 -1 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x -1/2 (/.f64 -1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 x -1/2 (/.f64 -1 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 (/.f64 -1 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 -1 y)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 -1 y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/2 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x -1/2 (/.f64 -1 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -1/2 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -1/2 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x -1/2 (/.f64 -1 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 y) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -1/2) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -1/2) 1) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x -1/2 (/.f64 -1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -1/2 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -1/2 (/.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 -1 y))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 -1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 -1 y))) 2) (cbrt.f64 (fma.f64 x -1/2 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 -1 y))) (sqrt.f64 (fma.f64 x -1/2 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 x -1/2 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x -1/2 (/.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 -1 y))) 2) (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 -1 y))) (pow.f64 (fma.f64 x -1/2 (/.f64 -1 y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x -1/2 (/.f64 -1 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -1/2) 3) (pow.f64 (/.f64 -1 y) 3)) (+.f64 (*.f64 (*.f64 x -1/2) (*.f64 x -1/2)) (-.f64 (/.f64 1 (*.f64 y y)) (*.f64 (*.f64 x -1/2) (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x -1/2) (*.f64 x -1/2)) (/.f64 1 (*.f64 y y))) (-.f64 (*.f64 x -1/2) (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -1/2 (/.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 -1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 -1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 -1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 -1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 -1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -1/2 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -1/2 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -1/2 (/.f64 -1 y))))))))

simplify62.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
878×fma-def_binary64
668×distribute-rgt-neg-in_binary64
567×distribute-lft-neg-in_binary64
414×distribute-neg-frac_binary64
414×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
053754
1146718
2429714
31735706
45854706
Stop Event
1×node limit
Counts
94 → 66
Calls
Call 1
Inputs
(*.f64 -1 y)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 y))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -1 y)))
(+.f64 (*.f64 1/8 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -1 y))))
(/.f64 -2 x)
(-.f64 (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2))))) (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))
(/.f64 -2 x)
(-.f64 (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2))))) (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))
(*.f64 -1 y)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 y))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -1 y)))
(+.f64 (*.f64 1/8 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -1 y))))
(/.f64 -2 x)
(-.f64 (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2))))) (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))
(/.f64 -2 x)
(-.f64 (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2))))) (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))
(/.f64 -1 y)
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(*.f64 -1/2 x)
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(*.f64 -1/2 x)
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(/.f64 -1 y)
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(*.f64 -1/2 x)
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(*.f64 -1/2 x)
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
Outputs
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 y))
(fma.f64 1/2 (*.f64 (*.f64 y y) x) (neg.f64 y))
(fma.f64 1/2 (*.f64 y (*.f64 y x)) (neg.f64 y))
(fma.f64 (*.f64 y y) (*.f64 1/2 x) (neg.f64 y))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -1 y)))
(fma.f64 1/2 (*.f64 (*.f64 y y) x) (fma.f64 -1/4 (*.f64 (pow.f64 y 3) (*.f64 x x)) (neg.f64 y)))
(-.f64 (fma.f64 1/2 (*.f64 y (*.f64 y x)) (*.f64 -1/4 (*.f64 (pow.f64 y 3) (*.f64 x x)))) y)
(-.f64 (*.f64 x (+.f64 (*.f64 y (*.f64 y 1/2)) (*.f64 (pow.f64 y 3) (*.f64 -1/4 x)))) y)
(fma.f64 x (fma.f64 y (*.f64 y 1/2) (*.f64 x (*.f64 -1/4 (pow.f64 y 3)))) (neg.f64 y))
(+.f64 (*.f64 1/8 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -1 y))))
(fma.f64 1/8 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (*.f64 y y) x) (fma.f64 -1/4 (*.f64 (pow.f64 y 3) (*.f64 x x)) (neg.f64 y))))
(fma.f64 1/8 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (-.f64 (fma.f64 1/2 (*.f64 y (*.f64 y x)) (*.f64 -1/4 (*.f64 (pow.f64 y 3) (*.f64 x x)))) y))
(-.f64 (fma.f64 1/8 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 x (+.f64 (*.f64 y (*.f64 y 1/2)) (*.f64 (pow.f64 y 3) (*.f64 -1/4 x))))) y)
(-.f64 (fma.f64 x (fma.f64 y (*.f64 y 1/2) (*.f64 x (*.f64 -1/4 (pow.f64 y 3)))) (*.f64 1/8 (*.f64 (pow.f64 y 4) (pow.f64 x 3)))) y)
(/.f64 -2 x)
(-.f64 (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (/.f64 2 x))
(+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (/.f64 -2 x))
(-.f64 (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))
(-.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (/.f64 -2 x)) (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3))))
(+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 -2 x) (/.f64 -8 (*.f64 (*.f64 y y) (pow.f64 x 3)))))
(+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 -2 x) (/.f64 -8 (*.f64 y (*.f64 y (pow.f64 x 3))))))
(-.f64 (+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2))))) (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))
(+.f64 (/.f64 16 (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (-.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(+.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (/.f64 -2 x)) (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 16 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 16 (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 -2 x) (/.f64 -8 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 16 (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 -2 x) (/.f64 -8 (*.f64 y (*.f64 y (pow.f64 x 3)))))))
(/.f64 -2 x)
(-.f64 (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (/.f64 2 x))
(+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (/.f64 -2 x))
(-.f64 (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))
(-.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (/.f64 -2 x)) (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3))))
(+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 -2 x) (/.f64 -8 (*.f64 (*.f64 y y) (pow.f64 x 3)))))
(+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 -2 x) (/.f64 -8 (*.f64 y (*.f64 y (pow.f64 x 3))))))
(-.f64 (+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2))))) (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))
(+.f64 (/.f64 16 (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (-.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(+.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (/.f64 -2 x)) (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 16 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 16 (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 -2 x) (/.f64 -8 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 16 (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 -2 x) (/.f64 -8 (*.f64 y (*.f64 y (pow.f64 x 3)))))))
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 y))
(fma.f64 1/2 (*.f64 (*.f64 y y) x) (neg.f64 y))
(fma.f64 1/2 (*.f64 y (*.f64 y x)) (neg.f64 y))
(fma.f64 (*.f64 y y) (*.f64 1/2 x) (neg.f64 y))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -1 y)))
(fma.f64 1/2 (*.f64 (*.f64 y y) x) (fma.f64 -1/4 (*.f64 (pow.f64 y 3) (*.f64 x x)) (neg.f64 y)))
(-.f64 (fma.f64 1/2 (*.f64 y (*.f64 y x)) (*.f64 -1/4 (*.f64 (pow.f64 y 3) (*.f64 x x)))) y)
(-.f64 (*.f64 x (+.f64 (*.f64 y (*.f64 y 1/2)) (*.f64 (pow.f64 y 3) (*.f64 -1/4 x)))) y)
(fma.f64 x (fma.f64 y (*.f64 y 1/2) (*.f64 x (*.f64 -1/4 (pow.f64 y 3)))) (neg.f64 y))
(+.f64 (*.f64 1/8 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -1 y))))
(fma.f64 1/8 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (*.f64 y y) x) (fma.f64 -1/4 (*.f64 (pow.f64 y 3) (*.f64 x x)) (neg.f64 y))))
(fma.f64 1/8 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (-.f64 (fma.f64 1/2 (*.f64 y (*.f64 y x)) (*.f64 -1/4 (*.f64 (pow.f64 y 3) (*.f64 x x)))) y))
(-.f64 (fma.f64 1/8 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 x (+.f64 (*.f64 y (*.f64 y 1/2)) (*.f64 (pow.f64 y 3) (*.f64 -1/4 x))))) y)
(-.f64 (fma.f64 x (fma.f64 y (*.f64 y 1/2) (*.f64 x (*.f64 -1/4 (pow.f64 y 3)))) (*.f64 1/8 (*.f64 (pow.f64 y 4) (pow.f64 x 3)))) y)
(/.f64 -2 x)
(-.f64 (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (/.f64 2 x))
(+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (/.f64 -2 x))
(-.f64 (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))
(-.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (/.f64 -2 x)) (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3))))
(+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 -2 x) (/.f64 -8 (*.f64 (*.f64 y y) (pow.f64 x 3)))))
(+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 -2 x) (/.f64 -8 (*.f64 y (*.f64 y (pow.f64 x 3))))))
(-.f64 (+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2))))) (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))
(+.f64 (/.f64 16 (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (-.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(+.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (/.f64 -2 x)) (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 16 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 16 (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 -2 x) (/.f64 -8 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 16 (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 -2 x) (/.f64 -8 (*.f64 y (*.f64 y (pow.f64 x 3)))))))
(/.f64 -2 x)
(-.f64 (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (/.f64 2 x))
(+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (/.f64 -2 x))
(-.f64 (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))
(-.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (/.f64 -2 x)) (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3))))
(+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 -2 x) (/.f64 -8 (*.f64 (*.f64 y y) (pow.f64 x 3)))))
(+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 -2 x) (/.f64 -8 (*.f64 y (*.f64 y (pow.f64 x 3))))))
(-.f64 (+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2))))) (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))
(+.f64 (/.f64 16 (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (-.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(+.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (/.f64 -2 x)) (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 16 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 16 (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 -2 x) (/.f64 -8 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 16 (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 -2 x) (/.f64 -8 (*.f64 y (*.f64 y (pow.f64 x 3)))))))
(/.f64 -1 y)
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 x -1/2) (/.f64 1 y))
(fma.f64 x -1/2 (/.f64 -1 y))
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 x -1/2) (/.f64 1 y))
(fma.f64 x -1/2 (/.f64 -1 y))
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 x -1/2) (/.f64 1 y))
(fma.f64 x -1/2 (/.f64 -1 y))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 x -1/2) (/.f64 1 y))
(fma.f64 x -1/2 (/.f64 -1 y))
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 x -1/2) (/.f64 1 y))
(fma.f64 x -1/2 (/.f64 -1 y))
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 x -1/2) (/.f64 1 y))
(fma.f64 x -1/2 (/.f64 -1 y))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 x -1/2) (/.f64 1 y))
(fma.f64 x -1/2 (/.f64 -1 y))
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 x -1/2) (/.f64 1 y))
(fma.f64 x -1/2 (/.f64 -1 y))
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 x -1/2) (/.f64 1 y))
(fma.f64 x -1/2 (/.f64 -1 y))
(/.f64 -1 y)
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 x -1/2) (/.f64 1 y))
(fma.f64 x -1/2 (/.f64 -1 y))
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 x -1/2) (/.f64 1 y))
(fma.f64 x -1/2 (/.f64 -1 y))
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 x -1/2) (/.f64 1 y))
(fma.f64 x -1/2 (/.f64 -1 y))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 x -1/2) (/.f64 1 y))
(fma.f64 x -1/2 (/.f64 -1 y))
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 x -1/2) (/.f64 1 y))
(fma.f64 x -1/2 (/.f64 -1 y))
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 x -1/2) (/.f64 1 y))
(fma.f64 x -1/2 (/.f64 -1 y))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 x -1/2) (/.f64 1 y))
(fma.f64 x -1/2 (/.f64 -1 y))
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 x -1/2) (/.f64 1 y))
(fma.f64 x -1/2 (/.f64 -1 y))
(-.f64 (*.f64 -1/2 x) (/.f64 1 y))
(-.f64 (*.f64 x -1/2) (/.f64 1 y))
(fma.f64 x -1/2 (/.f64 -1 y))

localize159.0ms (4.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (/.f64 (*.f64 x y) 2))
✓0.0b
(/.f64 (*.f64 x y) 2)
✓6.7b
(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))
Compiler

Compiled 41 to 22 computations (46.3% saved)

series16.0ms (0.4%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))
1.0ms
y
@0
(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))
1.0ms
y
@0
(/.f64 (*.f64 x y) 2)
1.0ms
x
@inf
(/.f64 (*.f64 x y) 2)
1.0ms
x
@0
(/.f64 (*.f64 x y) 2)

rewrite117.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
460×log-prod_binary64
347×exp-prod_binary64
283×pow-prod-down_binary64
265×prod-diff_binary64
245×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0930
119826
2265126
Stop Event
1×node limit
Counts
3 → 157
Calls
Call 1
Inputs
(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))
(/.f64 (*.f64 x y) 2)
(+.f64 1 (/.f64 (*.f64 x y) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (fma.f64 x (*.f64 y 1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (fma.f64 x (*.f64 y 1/2) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (fma.f64 x (*.f64 y 1/2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (fma.f64 x (*.f64 y 1/2) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (fma.f64 x (*.f64 y 1/2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (fma.f64 x (*.f64 y 1/2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (fma.f64 x (*.f64 y 1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (fma.f64 x (*.f64 y 1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (fma.f64 x (*.f64 y 1/2) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 1 (fma.f64 x (*.f64 y 1/2) 1))))))) 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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 y 1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 y (*.f64 x 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 y (*.f64 x 1/2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (*.f64 y 1/2) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 y (*.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 y (*.f64 x 1/2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 x 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (/.f64 2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 y 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y x) 1/2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (*.f64 x 1/2)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (cbrt.f64 (*.f64 y x)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 2 y) x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 2 y) x) -2)) (cbrt.f64 (*.f64 y (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (*.f64 x 1/2))) (sqrt.f64 (*.f64 y (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (neg.f64 x)) -1/2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x 2) y 1)))))

simplify99.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
792×fma-def_binary64
675×fma-neg_binary64
673×cancel-sign-sub-inv_binary64
528×distribute-neg-frac_binary64
414×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
050924
1144880
2434876
31726864
45293864
Stop Event
1×node limit
Counts
229 → 173
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 y (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 y (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2))))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2))))))
y
(+.f64 y (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 y (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 y (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2))))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2))))))
(*.f64 1/2 (*.f64 y x))
(*.f64 1/2 (*.f64 y x))
(*.f64 1/2 (*.f64 y x))
(*.f64 1/2 (*.f64 y x))
(*.f64 1/2 (*.f64 y x))
(*.f64 1/2 (*.f64 y x))
(*.f64 1/2 (*.f64 y x))
(*.f64 1/2 (*.f64 y x))
(*.f64 1/2 (*.f64 y x))
(*.f64 1/2 (*.f64 y x))
(*.f64 1/2 (*.f64 y x))
(*.f64 1/2 (*.f64 y x))
(*.f64 1/2 (*.f64 y x))
(*.f64 1/2 (*.f64 y x))
(*.f64 1/2 (*.f64 y x))
(*.f64 1/2 (*.f64 y x))
(*.f64 1/2 (*.f64 y x))
(*.f64 1/2 (*.f64 y x))
(*.f64 1/2 (*.f64 y x))
(*.f64 1/2 (*.f64 y x))
(*.f64 1/2 (*.f64 y x))
(*.f64 1/2 (*.f64 y x))
(*.f64 1/2 (*.f64 y x))
(*.f64 1/2 (*.f64 y x))
1
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(*.f64 1/2 (*.f64 y x))
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(*.f64 1/2 (*.f64 y x))
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
1
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(*.f64 1/2 (*.f64 y x))
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(*.f64 1/2 (*.f64 y x))
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
Outputs
y
(+.f64 y (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)))
(+.f64 y (*.f64 -1/2 (*.f64 (*.f64 y y) x)))
(fma.f64 -1/2 (*.f64 y (*.f64 y x)) y)
(fma.f64 y (*.f64 -1/2 (*.f64 y x)) y)
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 y (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))))
(fma.f64 1/4 (*.f64 (pow.f64 y 3) (*.f64 x x)) (+.f64 y (*.f64 -1/2 (*.f64 (*.f64 y y) x))))
(fma.f64 1/4 (*.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) y))
(fma.f64 -1/2 (*.f64 y (*.f64 y x)) (fma.f64 1/4 (*.f64 (pow.f64 y 3) (*.f64 x x)) y))
(fma.f64 x (fma.f64 y (*.f64 y -1/2) (*.f64 1/4 (*.f64 x (pow.f64 y 3)))) y)
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 y (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)))))
(fma.f64 1/4 (*.f64 (pow.f64 y 3) (*.f64 x x)) (+.f64 y (fma.f64 -1/8 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 -1/2 (*.f64 (*.f64 y y) x)))))
(+.f64 (fma.f64 1/4 (*.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) y)) (*.f64 -1/8 (*.f64 (pow.f64 y 4) (pow.f64 x 3))))
(fma.f64 1/4 (*.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) (fma.f64 -1/8 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) y)))
(fma.f64 x (fma.f64 y (*.f64 y -1/2) (*.f64 1/4 (*.f64 x (pow.f64 y 3)))) (fma.f64 -1/8 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) y))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (/.f64 4 (*.f64 y (*.f64 x x))))
(+.f64 (/.f64 2 x) (/.f64 -4 (*.f64 y (*.f64 x x))))
(+.f64 (/.f64 2 x) (/.f64 (/.f64 -4 y) (*.f64 x x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 4 (*.f64 y (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 4 (*.f64 y (*.f64 x x)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 8 (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 -4 (*.f64 y (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 -4 y) (*.f64 x x))) (/.f64 (/.f64 (/.f64 8 (pow.f64 x 3)) y) y))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 (/.f64 8 (pow.f64 x 3)) y) y) (/.f64 (/.f64 -4 y) (*.f64 x x))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2))))))
(+.f64 (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3))) (-.f64 (/.f64 2 x) (+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (/.f64 16 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 8 (*.f64 y (*.f64 y (pow.f64 x 3)))) (+.f64 (/.f64 -4 (*.f64 y (*.f64 x x))) (/.f64 -16 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(+.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 -4 y) (*.f64 x x))) (+.f64 (/.f64 (/.f64 (/.f64 8 (pow.f64 x 3)) y) y) (/.f64 -16 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (/.f64 4 (*.f64 y (*.f64 x x))))
(+.f64 (/.f64 2 x) (/.f64 -4 (*.f64 y (*.f64 x x))))
(+.f64 (/.f64 2 x) (/.f64 (/.f64 -4 y) (*.f64 x x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 4 (*.f64 y (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 4 (*.f64 y (*.f64 x x)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 8 (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 -4 (*.f64 y (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 -4 y) (*.f64 x x))) (/.f64 (/.f64 (/.f64 8 (pow.f64 x 3)) y) y))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 (/.f64 8 (pow.f64 x 3)) y) y) (/.f64 (/.f64 -4 y) (*.f64 x x))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2))))))
(+.f64 (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3))) (-.f64 (/.f64 2 x) (+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (/.f64 16 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 8 (*.f64 y (*.f64 y (pow.f64 x 3)))) (+.f64 (/.f64 -4 (*.f64 y (*.f64 x x))) (/.f64 -16 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(+.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 -4 y) (*.f64 x x))) (+.f64 (/.f64 (/.f64 (/.f64 8 (pow.f64 x 3)) y) y) (/.f64 -16 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
y
(+.f64 y (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)))
(+.f64 y (*.f64 -1/2 (*.f64 (*.f64 y y) x)))
(fma.f64 -1/2 (*.f64 y (*.f64 y x)) y)
(fma.f64 y (*.f64 -1/2 (*.f64 y x)) y)
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 y (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))))
(fma.f64 1/4 (*.f64 (pow.f64 y 3) (*.f64 x x)) (+.f64 y (*.f64 -1/2 (*.f64 (*.f64 y y) x))))
(fma.f64 1/4 (*.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) y))
(fma.f64 -1/2 (*.f64 y (*.f64 y x)) (fma.f64 1/4 (*.f64 (pow.f64 y 3) (*.f64 x x)) y))
(fma.f64 x (fma.f64 y (*.f64 y -1/2) (*.f64 1/4 (*.f64 x (pow.f64 y 3)))) y)
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 y (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)))))
(fma.f64 1/4 (*.f64 (pow.f64 y 3) (*.f64 x x)) (+.f64 y (fma.f64 -1/8 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 -1/2 (*.f64 (*.f64 y y) x)))))
(+.f64 (fma.f64 1/4 (*.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) y)) (*.f64 -1/8 (*.f64 (pow.f64 y 4) (pow.f64 x 3))))
(fma.f64 1/4 (*.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) (fma.f64 -1/8 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) y)))
(fma.f64 x (fma.f64 y (*.f64 y -1/2) (*.f64 1/4 (*.f64 x (pow.f64 y 3)))) (fma.f64 -1/8 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) y))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (/.f64 4 (*.f64 y (*.f64 x x))))
(+.f64 (/.f64 2 x) (/.f64 -4 (*.f64 y (*.f64 x x))))
(+.f64 (/.f64 2 x) (/.f64 (/.f64 -4 y) (*.f64 x x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 4 (*.f64 y (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 4 (*.f64 y (*.f64 x x)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 8 (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 -4 (*.f64 y (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 -4 y) (*.f64 x x))) (/.f64 (/.f64 (/.f64 8 (pow.f64 x 3)) y) y))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 (/.f64 8 (pow.f64 x 3)) y) y) (/.f64 (/.f64 -4 y) (*.f64 x x))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2))))))
(+.f64 (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3))) (-.f64 (/.f64 2 x) (+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (/.f64 16 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 8 (*.f64 y (*.f64 y (pow.f64 x 3)))) (+.f64 (/.f64 -4 (*.f64 y (*.f64 x x))) (/.f64 -16 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(+.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 -4 y) (*.f64 x x))) (+.f64 (/.f64 (/.f64 (/.f64 8 (pow.f64 x 3)) y) y) (/.f64 -16 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (/.f64 4 (*.f64 y (*.f64 x x))))
(+.f64 (/.f64 2 x) (/.f64 -4 (*.f64 y (*.f64 x x))))
(+.f64 (/.f64 2 x) (/.f64 (/.f64 -4 y) (*.f64 x x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 4 (*.f64 y (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 4 (*.f64 y (*.f64 x x)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 8 (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 -4 (*.f64 y (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 -4 y) (*.f64 x x))) (/.f64 (/.f64 (/.f64 8 (pow.f64 x 3)) y) y))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 (/.f64 8 (pow.f64 x 3)) y) y) (/.f64 (/.f64 -4 y) (*.f64 x x))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 x 2))))))
(+.f64 (/.f64 8 (*.f64 (*.f64 y y) (pow.f64 x 3))) (-.f64 (/.f64 2 x) (+.f64 (/.f64 4 (*.f64 y (*.f64 x x))) (/.f64 16 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 8 (*.f64 y (*.f64 y (pow.f64 x 3)))) (+.f64 (/.f64 -4 (*.f64 y (*.f64 x x))) (/.f64 -16 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(+.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 -4 y) (*.f64 x x))) (+.f64 (/.f64 (/.f64 (/.f64 8 (pow.f64 x 3)) y) y) (/.f64 -16 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
1
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) 1)
(fma.f64 y (*.f64 x 1/2) 1)
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) 1)
(fma.f64 y (*.f64 x 1/2) 1)
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) 1)
(fma.f64 y (*.f64 x 1/2) 1)
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) 1)
(fma.f64 y (*.f64 x 1/2) 1)
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) 1)
(fma.f64 y (*.f64 x 1/2) 1)
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) 1)
(fma.f64 y (*.f64 x 1/2) 1)
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) 1)
(fma.f64 y (*.f64 x 1/2) 1)
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) 1)
(fma.f64 y (*.f64 x 1/2) 1)
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) 1)
(fma.f64 y (*.f64 x 1/2) 1)
1
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) 1)
(fma.f64 y (*.f64 x 1/2) 1)
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) 1)
(fma.f64 y (*.f64 x 1/2) 1)
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) 1)
(fma.f64 y (*.f64 x 1/2) 1)
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) 1)
(fma.f64 y (*.f64 x 1/2) 1)
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) 1)
(fma.f64 y (*.f64 x 1/2) 1)
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) 1)
(fma.f64 y (*.f64 x 1/2) 1)
(*.f64 1/2 (*.f64 y x))
(*.f64 y (*.f64 x 1/2))
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) 1)
(fma.f64 y (*.f64 x 1/2) 1)
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) 1)
(fma.f64 y (*.f64 x 1/2) 1)
(+.f64 1 (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) 1)
(fma.f64 y (*.f64 x 1/2) 1)

eval222.0ms (6%)

Compiler

Compiled 3920 to 2721 computations (30.6% saved)

prune55.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2363239
Fresh000
Picked011
Done101
Total2374241
Error
0b
Counts
241 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
▶24.4b
(-.f64 x (/.f64 2 x))
✓0.0b
(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
▶16.4b
(-.f64 x y)
▶16.4b
(+.f64 x (/.f64 1 (/.f64 -1 y)))
Compiler

Compiled 34 to 24 computations (29.4% saved)

localize69.0ms (1.9%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 1 (/.f64 -1 y))
Compiler

Compiled 21 to 15 computations (28.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite49.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
370×pow1_binary64
359×add-sqr-sqrt_binary64
351×*-un-lft-identity_binary64
343×add-log-exp_binary64
342×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064
11201
214121
Stop Event
1×node limit
Counts
1 → 50
Calls
Call 1
Inputs
(/.f64 1 (/.f64 -1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) 2)) (log.f64 (cbrt.f64 (exp.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log.f64 (sqrt.f64 (exp.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (neg.f64 (/.f64 1 (cbrt.f64 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (pow.f64 (neg.f64 (pow.f64 y -1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 -1) 2) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (neg.f64 (pow.f64 y -1/2)) -1) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (neg.f64 (cbrt.f64 (pow.f64 y -2))) -1) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 y 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 y 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 y y) -1) 1/3) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 y (cbrt.f64 y)) 2) 1/3) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 y 5/2) 1/3) (cbrt.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) 3) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 y)) 3) (pow.f64 (sqrt.f64 (cbrt.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x . y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) 2))))))

simplify10.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
3×sub-neg_binary64
2×+-commutative_binary64
2×fma-def_binary64
1×*-commutative_binary64
1×associate-+l-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0436
1636
2836
3936
41136
51536
61936
72436
Stop Event
1×saturated
Counts
62 → 50
Calls
Call 1
Inputs
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
Outputs
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (/.f64 2 x))
Compiler

Compiled 12 to 8 computations (33.3% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(-.f64 x (/.f64 2 x))
1.0ms
x
@0
(-.f64 x (/.f64 2 x))
0.0ms
x
@inf
(-.f64 x (/.f64 2 x))

rewrite66.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
668×pow1_binary64
629×add-log-exp_binary64
628×log1p-expm1-u_binary64
628×expm1-log1p-u_binary64
617×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11197
216847
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(-.f64 x (/.f64 2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 -2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -2 x)) (fma.f64 (neg.f64 (/.f64 1 x)) 2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -2 x)) (fma.f64 (/.f64 -2 x) 1 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -2 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 2 x))) (sqrt.f64 (/.f64 2 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 -2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 -2 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 -2 x))) (sqrt.f64 (+.f64 x (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 2 x) (+.f64 x (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (/.f64 4 (*.f64 x x))) (/.f64 1 (+.f64 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 2 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 2 x) (+.f64 x (/.f64 2 x)))) (-.f64 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 2 x)) (-.f64 (*.f64 x x) (/.f64 4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 2 x) (+.f64 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (/.f64 4 (*.f64 x x))) (+.f64 x (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 2 x) (+.f64 x (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 4 (*.f64 x x)))) (neg.f64 (+.f64 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 -2 x) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 -2 x) (/.f64 -2 x)) (*.f64 x (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 -2 x) (/.f64 -2 x))) (-.f64 x (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 -2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 -2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 -2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 -2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 -2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 -2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -2 x))))))

simplify48.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
66×fma-neg_binary64
65×fma-def_binary64
30×associate-/r*_binary64
26×cancel-sign-sub-inv_binary64
23×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0969
11969
23069
34769
46369
58869
613569
718869
824569
932869
1046169
1148669
1250469
Stop Event
1×saturated
Counts
48 → 39
Calls
Call 1
Inputs
(/.f64 -2 x)
(-.f64 x (*.f64 2 (/.f64 1 x)))
(-.f64 x (*.f64 2 (/.f64 1 x)))
(-.f64 x (*.f64 2 (/.f64 1 x)))
x
(-.f64 x (*.f64 2 (/.f64 1 x)))
(-.f64 x (*.f64 2 (/.f64 1 x)))
(-.f64 x (*.f64 2 (/.f64 1 x)))
x
(-.f64 x (*.f64 2 (/.f64 1 x)))
(-.f64 x (*.f64 2 (/.f64 1 x)))
(-.f64 x (*.f64 2 (/.f64 1 x)))
Outputs
(/.f64 -2 x)
(-.f64 x (*.f64 2 (/.f64 1 x)))
(-.f64 x (/.f64 2 x))
(+.f64 x (/.f64 -2 x))
(-.f64 x (*.f64 2 (/.f64 1 x)))
(-.f64 x (/.f64 2 x))
(+.f64 x (/.f64 -2 x))
(-.f64 x (*.f64 2 (/.f64 1 x)))
(-.f64 x (/.f64 2 x))
(+.f64 x (/.f64 -2 x))
x
(-.f64 x (*.f64 2 (/.f64 1 x)))
(-.f64 x (/.f64 2 x))
(+.f64 x (/.f64 -2 x))
(-.f64 x (*.f64 2 (/.f64 1 x)))
(-.f64 x (/.f64 2 x))
(+.f64 x (/.f64 -2 x))
(-.f64 x (*.f64 2 (/.f64 1 x)))
(-.f64 x (/.f64 2 x))
(+.f64 x (/.f64 -2 x))
x
(-.f64 x (*.f64 2 (/.f64 1 x)))
(-.f64 x (/.f64 2 x))
(+.f64 x (/.f64 -2 x))
(-.f64 x (*.f64 2 (/.f64 1 x)))
(-.f64 x (/.f64 2 x))
(+.f64 x (/.f64 -2 x))
(-.f64 x (*.f64 2 (/.f64 1 x)))
(-.f64 x (/.f64 2 x))
(+.f64 x (/.f64 -2 x))

eval23.0ms (0.6%)

Compiler

Compiled 885 to 547 computations (38.2% saved)

prune14.0ms (0.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New87289
Fresh000
Picked011
Done033
Total87693
Error
0b
Counts
93 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓16.4b
(+.f64 x (/.f64 1 (/.f64 -1 y)))
24.9b
x
✓24.4b
(-.f64 x (/.f64 2 x))
✓0.0b
(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
✓16.4b
(-.f64 x y)
▶54.9b
(/.f64 -2 x)
Compiler

Compiled 42 to 30 computations (28.6% saved)

localize6.0ms (0.2%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done044
Total066
Error
0b
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓16.4b
(+.f64 x (/.f64 1 (/.f64 -1 y)))
24.9b
x
✓24.4b
(-.f64 x (/.f64 2 x))
✓0.0b
(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
✓16.4b
(-.f64 x y)
✓54.9b
(/.f64 -2 x)
Compiler

Compiled 42 to 30 computations (28.6% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune6.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done055
Total066
Error
0b
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓16.4b
(+.f64 x (/.f64 1 (/.f64 -1 y)))
24.9b
x
✓24.4b
(-.f64 x (/.f64 2 x))
✓0.0b
(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
✓16.4b
(-.f64 x y)
✓54.9b
(/.f64 -2 x)
Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes63.0ms (1.7%)

Counts
7 → 1
Calls
Call 1
Inputs
x
(/.f64 -2 x)
(-.f64 x y)
(-.f64 x (/.f64 2 x))
(+.f64 x (/.f64 1 (/.f64 -1 y)))
(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
(+.f64 x (/.f64 1 (fma.f64 x -1/2 (/.f64 -1 y))))
Outputs
(+.f64 x (/.f64 1 (fma.f64 x -1/2 (/.f64 -1 y))))
Calls

3 calls:

37.0ms
x
11.0ms
(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
10.0ms
y
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
Compiler

Compiled 61 to 40 computations (34.4% saved)

regimes130.0ms (3.5%)

Counts
6 → 1
Calls
Call 1
Inputs
x
(/.f64 -2 x)
(-.f64 x y)
(-.f64 x (/.f64 2 x))
(+.f64 x (/.f64 1 (/.f64 -1 y)))
(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
Outputs
(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
Calls

3 calls:

101.0ms
x
15.0ms
(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
11.0ms
y
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
Compiler

Compiled 51 to 33 computations (35.3% saved)

regimes36.0ms (1%)

Counts
5 → 3
Calls
Call 1
Inputs
x
(/.f64 -2 x)
(-.f64 x y)
(-.f64 x (/.f64 2 x))
(+.f64 x (/.f64 1 (/.f64 -1 y)))
Outputs
(-.f64 x (/.f64 2 x))
(-.f64 x y)
(-.f64 x (/.f64 2 x))
Calls

2 calls:

19.0ms
y
15.0ms
x
Results
ErrorSegmentsBranch
8.0b3x
4.0b3y
Compiler

Compiled 27 to 17 computations (37% saved)

bsearch48.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
4.0622479262351446e+72
2.156554919053368e+78
23.0ms
-1.5595933653061966e+106
-4.459307959341171e+102
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes71.0ms (1.9%)

Counts
3 → 3
Calls
Call 1
Inputs
x
(/.f64 -2 x)
(-.f64 x y)
Outputs
x
(-.f64 x y)
x
Calls

2 calls:

59.0ms
x
10.0ms
y
Results
ErrorSegmentsBranch
8.4b3x
11.2b3y
Compiler

Compiled 15 to 9 computations (40% saved)

bsearch128.0ms (3.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
107.0ms
0.0014032615343855333
8.05178646141362
21.0ms
-9337196.738203213
-8303277.443285079
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes19.0ms (0.5%)

Accuracy

Total -40.5b remaining (-180.7%)

Threshold costs -40.5b (-180.7%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(/.f64 -2 x)
Outputs
x
(/.f64 -2 x)
x
Calls

2 calls:

15.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
22.4b3x
24.9b1y
Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch46.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
-9.742732643486057e-188
-1.3884709621427346e-195
24.0ms
-1.358022098333293e-9
-1.0642028001987344e-19
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify13.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
8×+-commutative_binary64
6×sub-neg_binary64
4×*-commutative_binary64
3×neg-sub0_binary64
3×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04097
15197
26397
36997
47297
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 1 (fma.f64 x -1/2 (/.f64 -1 y))))
(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
(if (<=.f64 y -15595933653061966387140993209092354584332449458299182093780612502132152716332298511060275964014573220003840) (-.f64 x (/.f64 2 x)) (if (<=.f64 y 4062247926235144578745091454538352403496633085858629468296593223408680960) (-.f64 x y) (-.f64 x (/.f64 2 x))))
(if (<=.f64 x -40102954626900672/4294967296) x (if (<=.f64 x 25885606393290908/18446744073709551616) (-.f64 x y) x))
(if (<=.f64 x -6566991913129419/4835703278458516698824704) x (if (<=.f64 x -3818280827789627/39191066485258739495582803211213116836177854260974927689867324404930562930532401964915294470471057677470020717800991369135822596029816596680341771026342219486499009066287015365002034290763159969980219392) (/.f64 -2 x) x))
x
Outputs
(+.f64 x (/.f64 1 (fma.f64 x -1/2 (/.f64 -1 y))))
(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
(if (<=.f64 y -15595933653061966387140993209092354584332449458299182093780612502132152716332298511060275964014573220003840) (-.f64 x (/.f64 2 x)) (if (<=.f64 y 4062247926235144578745091454538352403496633085858629468296593223408680960) (-.f64 x y) (-.f64 x (/.f64 2 x))))
(if (<=.f64 x -40102954626900672/4294967296) x (if (<=.f64 x 25885606393290908/18446744073709551616) (-.f64 x y) x))
(if (<=.f64 x -626608666045323/67108864) x (if (<=.f64 x 6471401598322727/4611686018427387904) (-.f64 x y) x))
(if (<=.f64 x -6566991913129419/4835703278458516698824704) x (if (<=.f64 x -3818280827789627/39191066485258739495582803211213116836177854260974927689867324404930562930532401964915294470471057677470020717800991369135822596029816596680341771026342219486499009066287015365002034290763159969980219392) (/.f64 -2 x) x))
x
Compiler

Compiled 81 to 54 computations (33.3% saved)

soundness491.0ms (13.4%)

Algorithm
1×egg-herbie
Rules
1478×fma-neg_binary64
989×div-sub_binary64
824×associate-/l/_binary64
519×fma-def_binary64
450×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01016
11816
22814
34114
46014
59614
617214
725414
849714
9105614
10177114
11387814
12639314
13695014
14711614
15714614
16715214
17715214
18777514
19788714
20788714
Stop Event
1×node limit
Compiler

Compiled 726 to 547 computations (24.7% saved)

end51.0ms (1.4%)

Compiler

Compiled 71 to 43 computations (39.4% saved)

Profiling

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