Details

Time bar (total: 6.5s)

analyze60.0ms (0.9%)

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
25%74.9%0.1%5
37.5%62.4%0.1%6
56.2%43.7%0.1%7
65.6%34.3%0.1%8
76.5%23.4%0.1%9
82%18%0.1%10
87.8%12.1%0.1%11
90.7%9.2%0.1%12
Compiler

Compiled 10 to 7 computations (30% saved)

sample1.0s (16.2%)

Results
927.0ms7749×body256valid
45.0ms221×body1024valid
42.0ms150×body2048valid
20.0ms136×body512valid
0.0ms3×body256invalid

preprocess31.0ms (0.5%)

Algorithm
2×egg-herbie
Rules
446×fma-neg_binary64
114×fma-def_binary64
90×cancel-sign-sub-inv_binary64
62×sub-neg_binary64
52×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
12020
24020
37420
415520
532220
662316
799016
8128816
9134816
10135216
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(+.f64 x (/.f64 (-.f64 x y) 2))
(+.f64 y (/.f64 (-.f64 y x) 2))
Outputs
(+.f64 x (/.f64 (-.f64 x y) 2))
(fma.f64 -1/2 (-.f64 y x) x)
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.f64 y (/.f64 (-.f64 y x) 2))
(-.f64 y (/.f64 (-.f64 x y) 2))
(fma.f64 -1/2 (-.f64 x y) y)
(fma.f64 (-.f64 x y) -1/2 y)
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify20.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
254×fma-neg_binary64
112×fma-def_binary64
91×cancel-sign-sub-inv_binary64
47×sub-neg_binary64
40×distribute-rgt-in_binary64
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
0710
11310
22410
34310
48710
517110
632510
75078
87518
99918
1010498
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 x y) 2))
Outputs
(+.f64 x (/.f64 (-.f64 x y) 2))
(-.f64 x (/.f64 (-.f64 y x) 2))
(+.f64 x (*.f64 -1/2 (-.f64 y x)))
(fma.f64 -1/2 (-.f64 y x) x)
(fma.f64 (-.f64 y x) -1/2 x)

eval1.0ms (0%)

Compiler

Compiled 15 to 9 computations (40% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.1b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(+.f64 x (/.f64 (-.f64 x y) 2))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 9 computations (55% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite55.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
555×unpow-prod-down_binary64
395×log-prod_binary64
344×fma-def_binary64
289×exp-prod_binary64
259×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
11718
225498
Stop Event
1×node limit
Counts
1 → 74
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 x y) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/2) (-.f64 (*.f64 y 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 x y) 1/2))) (/.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 1/4) (-.f64 x (*.f64 (-.f64 x y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (*.f64 x 1/2)) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 x y) 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (/.f64 1 (-.f64 x (*.f64 (-.f64 x y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (pow.f64 (/.f64 1 (-.f64 x (*.f64 (-.f64 x y) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 x y) 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 x y) 1/2 x) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x))) (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 x y) 2) 1/4 (-.f64 (*.f64 x x) (*.f64 x (*.f64 (-.f64 x y) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 (-.f64 x y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))) (neg.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 1/4) (*.f64 x x)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x))) (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 x y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (neg.f64 (-.f64 (*.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x y) 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 x y) 1/2) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 x y) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) (neg.f64 (-.f64 (*.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) 2) (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 x y) 1/2)) (sqrt.f64 (*.f64 (-.f64 x y) 1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (-.f64 x y)) -1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (-.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (neg.f64 (-.f64 (*.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (neg.f64 (-.f64 (*.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x)))))))

simplify11.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
15×fma-def_binary64
6×+-commutative_binary64
3×*-commutative_binary64
3×associate-+l+_binary64
2×associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014168
132168
246168
Stop Event
1×saturated
Counts
98 → 81
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 1/2 x) x)
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(*.f64 -1/2 y)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(*.f64 -1/2 y)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
Outputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 1/2 x) x)
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 3/2 x))

eval28.0ms (0.4%)

Compiler

Compiled 1125 to 631 computations (43.9% saved)

prune24.0ms (0.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New681381
Fresh000
Picked101
Done000
Total691382
Error
0.0b
Counts
82 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
1.3b
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 3)
30.9b
(*.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (/.f64 1 (-.f64 x (*.f64 (-.f64 x y) 1/2))))
▶31.5b
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)
▶0.1b
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
▶30.9b
(/.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))))
▶0.5b
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 x y) 1/2))
41.9b
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3))
1.0b
(fma.f64 (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) 2) x)
1.3b
(*.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2))
31.7b
(*.f64 3/2 x)
32.8b
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 x y) 1/2))
30.8b
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 (-.f64 x y) 1/2)))
▶31.7b
(*.f64 -1/2 y)
Compiler

Compiled 364 to 244 computations (33% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
✓0.0b
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0%)

Counts
1 → 6
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@0
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
0.0ms
x
@0
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
0.0ms
y
@inf
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
0.0ms
x
@inf
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
0.0ms
x
@-inf
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))

rewrite55.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
862×pow1_binary64
805×add-log-exp_binary64
805×log1p-expm1-u_binary64
805×expm1-log1p-u_binary64
790×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
11728
221818
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -1/2 y (*.f64 3/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 -1/2 y) 2) (+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))) (/.f64 (pow.f64 (*.f64 3/2 x) 2) (+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 y (*.f64 3/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 y (*.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 y (*.f64 3/2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 y (*.f64 3/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 y (*.f64 3/2 x))) 2) (cbrt.f64 (fma.f64 -1/2 y (*.f64 3/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 y (*.f64 3/2 x))) (sqrt.f64 (fma.f64 -1/2 y (*.f64 3/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/8 (pow.f64 y 3)) (*.f64 27/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 -1/2 y) 2) (*.f64 (*.f64 3/2 x) (-.f64 (*.f64 3/2 x) (*.f64 -1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 -1/2 y) 2) (pow.f64 (*.f64 3/2 x) 2)) (/.f64 1 (+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 y) 2) (*.f64 (*.f64 3/2 x) (-.f64 (*.f64 3/2 x) (*.f64 -1/2 y)))) (+.f64 (*.f64 -1/8 (pow.f64 y 3)) (*.f64 27/8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x)) (-.f64 (pow.f64 (*.f64 -1/2 y) 2) (pow.f64 (*.f64 3/2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/8 (pow.f64 y 3)) (*.f64 27/8 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 -1/2 y) 2) (*.f64 (*.f64 3/2 x) (-.f64 (*.f64 3/2 x) (*.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/8 (pow.f64 y 3)) (*.f64 27/8 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 3/2 x) 2) (-.f64 (pow.f64 (*.f64 -1/2 y) 2) (*.f64 y (*.f64 -1/2 (*.f64 3/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -1/2 y) 2) (pow.f64 (*.f64 3/2 x) 2)) (+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 -1/8 (pow.f64 y 3)) (*.f64 27/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 -1/2 y) 2) (*.f64 (*.f64 3/2 x) (-.f64 (*.f64 3/2 x) (*.f64 -1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 -1/2 y) 2) (pow.f64 (*.f64 3/2 x) 2))) (neg.f64 (+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 3/2 x) 2) (pow.f64 (*.f64 -1/2 y) 2)) (-.f64 (*.f64 3/2 x) (*.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 y (*.f64 3/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 y (*.f64 3/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/2 y (*.f64 3/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/2 y (*.f64 3/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 y (*.f64 3/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/2 y (*.f64 3/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/2 y (*.f64 3/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 y (*.f64 3/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -1/2 (*.f64 3/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/2 x (*.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3/2 (*.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/2 y) (*.f64 3/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3/2 x) (*.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3/2 x)) 2) (cbrt.f64 (*.f64 3/2 x)) (*.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 -1/2 y) 2)) (cbrt.f64 (*.f64 -1/2 y)) (*.f64 3/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3/2 x)) (sqrt.f64 (*.f64 3/2 x)) (*.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/2 y)) (sqrt.f64 (*.f64 -1/2 y)) (*.f64 3/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 y (*.f64 3/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/2 y (*.f64 3/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/2 y (*.f64 3/2 x))))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
1924
Stop Event
1×saturated
Counts
43 → 39
Calls
Call 1
Inputs
(*.f64 3/2 x)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 3/2 x)
(*.f64 3/2 x)
Outputs
(*.f64 3/2 x)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 3/2 x)
(*.f64 3/2 x)

localize5.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize28.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))))
0.0b
(-.f64 x (*.f64 (-.f64 x y) 1/2))
0.0b
(pow.f64 (-.f64 x y) 2)
0.0b
(*.f64 (pow.f64 (-.f64 x y) 2) 1/4)
✓0.0b
(-.f64 x (*.f64 (-.f64 x y) 1/2))
✓0.2b
(/.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))))
✓11.9b
(-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))
✓28.9b
(/.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)))
Compiler

Compiled 89 to 44 computations (50.6% saved)

series20.0ms (0.3%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(/.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)))
2.0ms
y
@0
(/.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)))
1.0ms
x
@inf
(/.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)))
1.0ms
y
@0
(/.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))))
1.0ms
y
@-inf
(-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))

rewrite136.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
840×fma-def_binary64
384×fma-neg_binary64
303×expm1-udef_binary64
303×log1p-udef_binary64
189×add-sqr-sqrt_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01685
137947
2541941
Stop Event
1×node limit
Counts
4 → 414
Calls
Call 1
Inputs
(/.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)))
(-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))
(/.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))))
(-.f64 x (*.f64 (-.f64 x y) 1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (fma.f64 x x (*.f64 (pow.f64 (-.f64 x y) 2) -1/4))) (neg.f64 (/.f64 1/2 (/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 x y) 2) -1/4)) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (fma.f64 x x (*.f64 (pow.f64 (-.f64 x y) 2) -1/4))) (/.f64 1/2 (/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 x y) 2) -1/4)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 (-.f64 x y) 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 x (fma.f64 x x (*.f64 (pow.f64 (-.f64 x y) 2) -1/4))) 1) (/.f64 (/.f64 1/2 (/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 x y) 2) -1/4)) (-.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 x y) -1/2 x) (/.f64 1 (fma.f64 x x (*.f64 (pow.f64 (-.f64 x y) 2) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (-.f64 x y) 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2) (/.f64 1 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) -1/2 x)) 2) (*.f64 (cbrt.f64 (fma.f64 (-.f64 x y) -1/2 x)) (/.f64 1 (fma.f64 x x (*.f64 (pow.f64 (-.f64 x y) 2) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) (/.f64 1 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 x y) -1/2 x)) (*.f64 (sqrt.f64 (fma.f64 (-.f64 x y) -1/2 x)) (/.f64 1 (fma.f64 x x (*.f64 (pow.f64 (-.f64 x y) 2) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 (-.f64 x y) -1/2 x)) (/.f64 1 (neg.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 x y) 2) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x (*.f64 (pow.f64 (-.f64 x y) 2) -1/4))) (fma.f64 (-.f64 x y) -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 x y) 2) -1/4))) 2)) (/.f64 (fma.f64 (-.f64 x y) -1/2 x) (cbrt.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 x y) 2) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 (*.f64 (pow.f64 (-.f64 x y) 2) -1/4)))) (/.f64 (fma.f64 (-.f64 x y) -1/2 x) (hypot.f64 x (sqrt.f64 (*.f64 (pow.f64 (-.f64 x y) 2) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) -1/2 x)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (-.f64 x y) -1/2 x)) (fma.f64 x x (*.f64 (pow.f64 (-.f64 x y) 2) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 x y) -1/2 x)) 1) (/.f64 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simplify88.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
586×distribute-rgt-in_binary64
545×distribute-lft-in_binary64
513×cancel-sign-sub-inv_binary64
344×fma-def_binary64
312×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03073324
110692633
240572247
Stop Event
1×node limit
Counts
510 → 504
Calls
Call 1
Inputs
(/.f64 -2 y)
(-.f64 (*.f64 -6 (/.f64 x (pow.f64 y 2))) (*.f64 2 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -6 (/.f64 x (pow.f64 y 2))) (*.f64 -18 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) (*.f64 2 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -6 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -54 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (*.f64 -18 (/.f64 (pow.f64 x 2) (pow.f64 y 3))))) (*.f64 2 (/.f64 1 y)))
(/.f64 2/3 x)
(-.f64 (+.f64 (*.f64 2/3 (/.f64 y (pow.f64 x 2))) (*.f64 2/3 (/.f64 1 x))) (*.f64 4/9 (/.f64 y (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2/3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 2/3 (/.f64 1 x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 y 2)) (*.f64 2/3 (*.f64 y (-.f64 (*.f64 2/3 y) (*.f64 4/9 y))))) (pow.f64 x 3))))) (*.f64 4/9 (/.f64 y (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2/3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/3 (*.f64 y (+.f64 (*.f64 -2/9 (pow.f64 y 2)) (*.f64 2/3 (*.f64 y (-.f64 (*.f64 2/3 y) (*.f64 4/9 y))))))) (*.f64 -1/3 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 2/3 y) (*.f64 4/9 y))))) (pow.f64 x 4))) (+.f64 (*.f64 2/3 (/.f64 1 x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 y 2)) (*.f64 2/3 (*.f64 y (-.f64 (*.f64 2/3 y) (*.f64 4/9 y))))) (pow.f64 x 3)))))) (*.f64 4/9 (/.f64 y (pow.f64 x 2))))
(/.f64 2/3 x)
(+.f64 (*.f64 2/3 (/.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2/3 y) (*.f64 -4/9 y)) (pow.f64 x 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 y 2)) (*.f64 -2/3 (*.f64 y (-.f64 (*.f64 -2/3 y) (*.f64 -4/9 y))))) (pow.f64 x 3))) (+.f64 (*.f64 2/3 (/.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2/3 y) (*.f64 -4/9 y)) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 y 2)) (*.f64 -2/3 (*.f64 y (-.f64 (*.f64 -2/3 y) (*.f64 -4/9 y))))) (pow.f64 x 3))) (+.f64 (*.f64 2/3 (/.f64 (*.f64 y (+.f64 (*.f64 -2/9 (pow.f64 y 2)) (*.f64 -2/3 (*.f64 y (-.f64 (*.f64 -2/3 y) (*.f64 -4/9 y)))))) (pow.f64 x 4))) (+.f64 (*.f64 2/3 (/.f64 1 x)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -2/3 y) (*.f64 -4/9 y))) (pow.f64 x 4))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2/3 y) (*.f64 -4/9 y)) (pow.f64 x 2)))))))
(/.f64 (-.f64 x (*.f64 1/2 x)) (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 x (*.f64 1/2 x)) x) (pow.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) 2)))) y) (/.f64 x (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))) (*.f64 1/2 (/.f64 x (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 x (*.f64 1/2 x)) x) (pow.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) 2)))) x) (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))) (*.f64 -1/4 (/.f64 (-.f64 x (*.f64 1/2 x)) (pow.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) 2)))))) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 x (*.f64 1/2 x)) x) (pow.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) 2)))) y) (/.f64 x (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2)))))) (*.f64 1/2 (/.f64 x (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 x (*.f64 1/2 x)) x) (pow.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) 2)))) x) (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))) (*.f64 -1/4 (/.f64 (-.f64 x (*.f64 1/2 x)) (pow.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) 2)))))) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 x (*.f64 1/2 x)) x) (pow.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) 2)))) y) (+.f64 (/.f64 x (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2)))) (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 x (*.f64 1/2 x)) x) (pow.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) 2)))) (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 x (*.f64 1/2 x)) x) (pow.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) 2)))) x) (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))) (*.f64 -1/4 (/.f64 (-.f64 x (*.f64 1/2 x)) (pow.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) 2)))) x) (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))))))))) (*.f64 1/2 (/.f64 x (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))))
(/.f64 -2 y)
(-.f64 (*.f64 -4 (/.f64 (-.f64 x (*.f64 1/2 x)) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 4 (/.f64 x (pow.f64 y 2)))))
(-.f64 (+.f64 (*.f64 -4 (/.f64 (-.f64 x (*.f64 1/2 x)) (pow.f64 y 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 8 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2)))) (*.f64 -2 (*.f64 (-.f64 (*.f64 -4 (-.f64 x (*.f64 1/2 x))) (*.f64 4 x)) x))) (pow.f64 y 3)))) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 4 (/.f64 x (pow.f64 y 2)))))
(-.f64 (+.f64 (*.f64 -4 (/.f64 (-.f64 x (*.f64 1/2 x)) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 8 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2)))) (*.f64 -2 (*.f64 (-.f64 (*.f64 -4 (-.f64 x (*.f64 1/2 x))) (*.f64 4 x)) x))) (pow.f64 y 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 8 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2)))) (*.f64 -2 (*.f64 (-.f64 (*.f64 -4 (-.f64 x (*.f64 1/2 x))) (*.f64 4 x)) x))) x)) (*.f64 -4 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) (-.f64 (*.f64 -4 (-.f64 x (*.f64 1/2 x))) (*.f64 4 x))))) (pow.f64 y 4))))) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 4 (/.f64 x (pow.f64 y 2)))))
(/.f64 -2 y)
(-.f64 (*.f64 -4 (/.f64 (-.f64 x (*.f64 1/2 x)) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 4 (/.f64 x (pow.f64 y 2)))))
(-.f64 (+.f64 (*.f64 -4 (/.f64 (-.f64 x (*.f64 1/2 x)) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 -4 (-.f64 x (*.f64 1/2 x))) (*.f64 4 x)) x) (pow.f64 y 3))) (*.f64 -8 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) (pow.f64 y 3))))) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 4 (/.f64 x (pow.f64 y 2)))))
(-.f64 (+.f64 (*.f64 -4 (/.f64 (-.f64 x (*.f64 1/2 x)) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 -4 (-.f64 x (*.f64 1/2 x))) (*.f64 4 x)) x) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 x (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 -4 (-.f64 x (*.f64 1/2 x))) (*.f64 4 x)) x)) (*.f64 -8 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))))) (*.f64 -4 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) (-.f64 (*.f64 -4 (-.f64 x (*.f64 1/2 x))) (*.f64 4 x))))) (pow.f64 y 4))) (*.f64 -8 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) (pow.f64 y 3)))))) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 4 (/.f64 x (pow.f64 y 2)))))
(*.f64 -1/4 (pow.f64 y 2))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2))))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2))))
(*.f64 3/4 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2))))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2))))
(*.f64 3/4 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2))))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2))))
(-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 y x)) (pow.f64 x 2)) (*.f64 1/4 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 (*.f64 y x)) (pow.f64 x 2))) (*.f64 1/4 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 (*.f64 y x)) (pow.f64 x 2))) (*.f64 1/4 (pow.f64 x 2)))
(*.f64 -1/4 (pow.f64 y 2))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 1/2 (*.f64 y x)))
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 (*.f64 y x)) (pow.f64 x 2))) (*.f64 1/4 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 (*.f64 y x)) (pow.f64 x 2))) (*.f64 1/4 (pow.f64 x 2)))
(*.f64 -1/4 (pow.f64 y 2))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 1/2 (*.f64 y x)))
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 (*.f64 y x)) (pow.f64 x 2))) (*.f64 1/4 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 (*.f64 y x)) (pow.f64 x 2))) (*.f64 1/4 (pow.f64 x 2)))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(-.f64 (+.f64 y (*.f64 3/2 x)) (*.f64 3/2 y))
(-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))) (+.f64 (*.f64 3/2 y) (/.f64 (*.f64 y (-.f64 y (*.f64 3/2 y))) x)))
(-.f64 (+.f64 y (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 y (-.f64 y (*.f64 3/2 y))))) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x)))) (+.f64 (*.f64 3/2 y) (/.f64 (*.f64 y (-.f64 y (*.f64 3/2 y))) x)))
(*.f64 3/2 x)
(+.f64 (*.f64 3/2 x) (*.f64 -1 (-.f64 (*.f64 -1 y) (*.f64 -3/2 y))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 3/2 x) (*.f64 -1 (-.f64 (*.f64 -1 y) (*.f64 -3/2 y))))) (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) (*.f64 -3/2 y))) x)))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 3/2 x) (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 y) (*.f64 -3/2 y))) (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 y) (*.f64 -3/2 y)))))) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) (*.f64 -3/2 y))) x)))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) (-.f64 x (*.f64 1/2 x)))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 1/2 x))) (*.f64 (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 1/2 x)))) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) (pow.f64 (-.f64 x (*.f64 1/2 x)) 2)))) y)) (*.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 1/2 x)))))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 1/2 x))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 1/2 x)))) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) (pow.f64 (-.f64 x (*.f64 1/2 x)) 2)))) (-.f64 x (*.f64 1/2 x)))) (*.f64 1/4 (/.f64 1 (-.f64 x (*.f64 1/2 x))))))) (*.f64 (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 1/2 x)))) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) (pow.f64 (-.f64 x (*.f64 1/2 x)) 2)))) y))) (*.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 1/2 x)))))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 1/2 x))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 1/2 x)))) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) (pow.f64 (-.f64 x (*.f64 1/2 x)) 2)))) (-.f64 x (*.f64 1/2 x)))) (*.f64 1/4 (/.f64 1 (-.f64 x (*.f64 1/2 x))))))) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 1/2 x)))) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) (pow.f64 (-.f64 x (*.f64 1/2 x)) 2)))) y) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 1/2 x)))) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) (pow.f64 (-.f64 x (*.f64 1/2 x)) 2)))) (-.f64 x (*.f64 1/2 x)))) (*.f64 1/4 (/.f64 1 (-.f64 x (*.f64 1/2 x))))) (pow.f64 y 3)) (-.f64 x (*.f64 1/2 x))))))) (*.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 1/2 x)))))
(*.f64 -1/2 y)
(-.f64 (+.f64 (*.f64 -1/2 y) x) (*.f64 -1 (-.f64 x (*.f64 1/2 x))))
(-.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 2 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) y)) x)) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 x (*.f64 1/2 x)) (-.f64 x (*.f64 -1 (-.f64 x (*.f64 1/2 x))))) y)) (*.f64 -1 (-.f64 x (*.f64 1/2 x)))))
(-.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 2 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2)))) (*.f64 2 (*.f64 (-.f64 x (*.f64 1/2 x)) (-.f64 x (*.f64 -1 (-.f64 x (*.f64 1/2 x))))))) (-.f64 x (*.f64 1/2 x))) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) y)) x))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 x (*.f64 1/2 x)) (-.f64 x (*.f64 -1 (-.f64 x (*.f64 1/2 x))))) y)) (*.f64 -1 (-.f64 x (*.f64 1/2 x)))))
(*.f64 -1/2 y)
(-.f64 (+.f64 (*.f64 -1/2 y) x) (*.f64 -1 (-.f64 x (*.f64 1/2 x))))
(-.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2)))) (*.f64 -2 (*.f64 (-.f64 x (*.f64 1/2 x)) (-.f64 x (*.f64 -1 (-.f64 x (*.f64 1/2 x))))))) y)) x)) (*.f64 -1 (-.f64 x (*.f64 1/2 x))))
(-.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 -2 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2)))) (*.f64 -2 (*.f64 (-.f64 x (*.f64 1/2 x)) (-.f64 x (*.f64 -1 (-.f64 x (*.f64 1/2 x))))))) (-.f64 x (*.f64 1/2 x))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2)))) (*.f64 -2 (*.f64 (-.f64 x (*.f64 1/2 x)) (-.f64 x (*.f64 -1 (-.f64 x (*.f64 1/2 x))))))) y)) x))) (*.f64 -1 (-.f64 x (*.f64 1/2 x))))
(*.f64 1/2 y)
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(-.f64 x (*.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 y) x) (*.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 y) x) (*.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 y) x) (*.f64 1/2 x))
(*.f64 1/2 y)
(-.f64 (+.f64 (*.f64 1/2 y) x) (*.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 y) x) (*.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 y) x) (*.f64 1/2 x))
(*.f64 1/2 y)
(-.f64 (+.f64 (*.f64 1/2 y) x) (*.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 y) x) (*.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 y) x) (*.f64 1/2 x))
Outputs
(/.f64 -2 y)
(-.f64 (*.f64 -6 (/.f64 x (pow.f64 y 2))) (*.f64 2 (/.f64 1 y)))
(-.f64 (*.f64 -6 (/.f64 x (*.f64 y y))) (/.f64 2 y))
(fma.f64 -6 (/.f64 x (*.f64 y y)) (/.f64 -2 y))
(-.f64 (+.f64 (*.f64 -6 (/.f64 x (pow.f64 y 2))) (*.f64 -18 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) (*.f64 2 (/.f64 1 y)))
(-.f64 (fma.f64 -6 (/.f64 x (*.f64 y y)) (*.f64 -18 (/.f64 (*.f64 x x) (pow.f64 y 3)))) (/.f64 2 y))
(fma.f64 -6 (/.f64 x (*.f64 y y)) (fma.f64 -18 (/.f64 x (/.f64 (pow.f64 y 3) x)) (/.f64 -2 y)))
(-.f64 (+.f64 (*.f64 -6 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -54 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (*.f64 -18 (/.f64 (pow.f64 x 2) (pow.f64 y 3))))) (*.f64 2 (/.f64 1 y)))
(-.f64 (fma.f64 -6 (/.f64 x (*.f64 y y)) (fma.f64 -54 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (*.f64 -18 (/.f64 (*.f64 x x) (pow.f64 y 3))))) (/.f64 2 y))
(+.f64 (fma.f64 -18 (/.f64 x (/.f64 (pow.f64 y 3) x)) (/.f64 (*.f64 -54 (pow.f64 x 3)) (pow.f64 y 4))) (fma.f64 -6 (/.f64 x (*.f64 y y)) (/.f64 -2 y)))
(/.f64 2/3 x)
(-.f64 (+.f64 (*.f64 2/3 (/.f64 y (pow.f64 x 2))) (*.f64 2/3 (/.f64 1 x))) (*.f64 4/9 (/.f64 y (pow.f64 x 2))))
(+.f64 (fma.f64 2/3 (/.f64 y (*.f64 x x)) (/.f64 2/3 x)) (*.f64 -4/9 (/.f64 y (*.f64 x x))))
(+.f64 (fma.f64 2/3 (/.f64 y (*.f64 x x)) (/.f64 2/3 x)) (*.f64 (/.f64 y (*.f64 x x)) -4/9))
(+.f64 (/.f64 2/3 x) (*.f64 (/.f64 (/.f64 y x) x) 2/9))
(-.f64 (+.f64 (*.f64 2/3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 2/3 (/.f64 1 x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 y 2)) (*.f64 2/3 (*.f64 y (-.f64 (*.f64 2/3 y) (*.f64 4/9 y))))) (pow.f64 x 3))))) (*.f64 4/9 (/.f64 y (pow.f64 x 2))))
(+.f64 (+.f64 (fma.f64 2/3 (/.f64 y (*.f64 x x)) (/.f64 2/3 x)) (neg.f64 (/.f64 (fma.f64 -2/9 (*.f64 y y) (*.f64 (*.f64 y 2/3) (*.f64 y 2/9))) (pow.f64 x 3)))) (*.f64 -4/9 (/.f64 y (*.f64 x x))))
(+.f64 (-.f64 (fma.f64 2/3 (/.f64 y (*.f64 x x)) (/.f64 2/3 x)) (/.f64 (fma.f64 (*.f64 y y) -2/9 (*.f64 y (*.f64 (*.f64 y 2/9) 2/3))) (pow.f64 x 3))) (*.f64 (/.f64 y (*.f64 x x)) -4/9))
(+.f64 (-.f64 (/.f64 2/3 x) (/.f64 (*.f64 y (+.f64 (*.f64 y -2/9) (*.f64 (*.f64 y 2/9) 2/3))) (pow.f64 x 3))) (*.f64 (/.f64 (/.f64 y x) x) 2/9))
(-.f64 (+.f64 (*.f64 2/3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/3 (*.f64 y (+.f64 (*.f64 -2/9 (pow.f64 y 2)) (*.f64 2/3 (*.f64 y (-.f64 (*.f64 2/3 y) (*.f64 4/9 y))))))) (*.f64 -1/3 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 2/3 y) (*.f64 4/9 y))))) (pow.f64 x 4))) (+.f64 (*.f64 2/3 (/.f64 1 x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 y 2)) (*.f64 2/3 (*.f64 y (-.f64 (*.f64 2/3 y) (*.f64 4/9 y))))) (pow.f64 x 3)))))) (*.f64 4/9 (/.f64 y (pow.f64 x 2))))
(+.f64 (fma.f64 2/3 (/.f64 y (*.f64 x x)) (fma.f64 -1 (/.f64 (fma.f64 -2/3 (*.f64 y (fma.f64 -2/9 (*.f64 y y) (*.f64 (*.f64 y 2/3) (*.f64 y 2/9)))) (*.f64 -1/3 (*.f64 (*.f64 y y) (*.f64 y 2/9)))) (pow.f64 x 4)) (+.f64 (/.f64 2/3 x) (neg.f64 (/.f64 (fma.f64 -2/9 (*.f64 y y) (*.f64 (*.f64 y 2/3) (*.f64 y 2/9))) (pow.f64 x 3)))))) (*.f64 -4/9 (/.f64 y (*.f64 x x))))
(+.f64 (fma.f64 2/3 (/.f64 y (*.f64 x x)) (-.f64 (-.f64 (/.f64 2/3 x) (/.f64 (fma.f64 (*.f64 y y) -2/9 (*.f64 y (*.f64 (*.f64 y 2/9) 2/3))) (pow.f64 x 3))) (/.f64 (fma.f64 -2/3 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 y 3) 2/9)) (*.f64 (pow.f64 y 3) -2/9)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) 2/9))) (pow.f64 x 4)))) (*.f64 (/.f64 y (*.f64 x x)) -4/9))
(+.f64 (-.f64 (-.f64 (/.f64 2/3 x) (/.f64 (*.f64 y (+.f64 (*.f64 y -2/9) (*.f64 (*.f64 y 2/9) 2/3))) (pow.f64 x 3))) (/.f64 (fma.f64 -2/3 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 y 3) 2/9)) (*.f64 (pow.f64 y 3) -2/9)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) 2/9))) (pow.f64 x 4))) (*.f64 (/.f64 (/.f64 y x) x) 2/9))
(/.f64 2/3 x)
(+.f64 (*.f64 2/3 (/.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2/3 y) (*.f64 -4/9 y)) (pow.f64 x 2))))
(+.f64 (/.f64 2/3 x) (neg.f64 (/.f64 (*.f64 y -2/9) (*.f64 x x))))
(-.f64 (/.f64 2/3 x) (*.f64 (/.f64 y x) (/.f64 -2/9 x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 y 2)) (*.f64 -2/3 (*.f64 y (-.f64 (*.f64 -2/3 y) (*.f64 -4/9 y))))) (pow.f64 x 3))) (+.f64 (*.f64 2/3 (/.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2/3 y) (*.f64 -4/9 y)) (pow.f64 x 2)))))
(fma.f64 -1 (/.f64 (fma.f64 -2/9 (*.f64 y y) (*.f64 (*.f64 y -2/3) (*.f64 y -2/9))) (pow.f64 x 3)) (+.f64 (/.f64 2/3 x) (neg.f64 (/.f64 (*.f64 y -2/9) (*.f64 x x)))))
(-.f64 (-.f64 (/.f64 2/3 x) (*.f64 (/.f64 y x) (/.f64 -2/9 x))) (/.f64 (fma.f64 (*.f64 y y) -2/9 (*.f64 y (*.f64 -2/3 (*.f64 y -2/9)))) (pow.f64 x 3)))
(+.f64 (/.f64 (*.f64 y 2/9) (*.f64 x x)) (-.f64 (/.f64 2/3 x) (/.f64 (*.f64 1/3 (*.f64 y (*.f64 y -2/9))) (pow.f64 x 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 y 2)) (*.f64 -2/3 (*.f64 y (-.f64 (*.f64 -2/3 y) (*.f64 -4/9 y))))) (pow.f64 x 3))) (+.f64 (*.f64 2/3 (/.f64 (*.f64 y (+.f64 (*.f64 -2/9 (pow.f64 y 2)) (*.f64 -2/3 (*.f64 y (-.f64 (*.f64 -2/3 y) (*.f64 -4/9 y)))))) (pow.f64 x 4))) (+.f64 (*.f64 2/3 (/.f64 1 x)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -2/3 y) (*.f64 -4/9 y))) (pow.f64 x 4))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2/3 y) (*.f64 -4/9 y)) (pow.f64 x 2)))))))
(fma.f64 -1 (/.f64 (fma.f64 -2/9 (*.f64 y y) (*.f64 (*.f64 y -2/3) (*.f64 y -2/9))) (pow.f64 x 3)) (fma.f64 2/3 (/.f64 y (/.f64 (pow.f64 x 4) (fma.f64 -2/9 (*.f64 y y) (*.f64 (*.f64 y -2/3) (*.f64 y -2/9))))) (+.f64 (/.f64 2/3 x) (fma.f64 -1/3 (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 4) (*.f64 y -2/9))) (neg.f64 (/.f64 (*.f64 y -2/9) (*.f64 x x)))))))
(-.f64 (fma.f64 2/3 (/.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 y 3) -2/9)) (*.f64 (pow.f64 y 3) -2/9)) (pow.f64 x 4)) (+.f64 (/.f64 2/3 x) (-.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 3) -2/9) (pow.f64 x 4))) (*.f64 (/.f64 y x) (/.f64 -2/9 x))))) (/.f64 (fma.f64 (*.f64 y y) -2/9 (*.f64 y (*.f64 -2/3 (*.f64 y -2/9)))) (pow.f64 x 3)))
(+.f64 (fma.f64 2/3 (/.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) -2/9)) (pow.f64 x 4)) (/.f64 2/3 x)) (-.f64 (fma.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 3) -2/9) (pow.f64 x 4)) (/.f64 (*.f64 y 2/9) (*.f64 x x))) (/.f64 (*.f64 1/3 (*.f64 y (*.f64 y -2/9))) (pow.f64 x 3))))
(/.f64 (-.f64 x (*.f64 1/2 x)) (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))
(/.f64 (+.f64 x (*.f64 -1/2 x)) (+.f64 (*.f64 x x) (*.f64 -1/4 (*.f64 x x))))
(*.f64 1/2 (/.f64 x (*.f64 (*.f64 x x) 3/4)))
(*.f64 1/2 (/.f64 x (*.f64 x (*.f64 x 3/4))))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 x (*.f64 1/2 x)) x) (pow.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) 2)))) y) (/.f64 x (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))) (*.f64 1/2 (/.f64 x (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))))
(+.f64 (*.f64 y (-.f64 (/.f64 1/2 (+.f64 (*.f64 x x) (*.f64 -1/4 (*.f64 x x)))) (/.f64 (*.f64 1/2 (*.f64 x (+.f64 x (*.f64 -1/2 x)))) (pow.f64 (+.f64 (*.f64 x x) (*.f64 -1/4 (*.f64 x x))) 2)))) (/.f64 (+.f64 x (*.f64 -1/2 x)) (+.f64 (*.f64 x x) (*.f64 -1/4 (*.f64 x x)))))
(fma.f64 y (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) 3/4)) (/.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (*.f64 (*.f64 x x) 3/4) 2))) (*.f64 1/2 (/.f64 x (*.f64 (*.f64 x x) 3/4))))
(fma.f64 y (+.f64 (/.f64 1/2 (*.f64 x (*.f64 x 3/4))) (/.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 (pow.f64 x 4) 9/16))) (*.f64 1/2 (/.f64 x (*.f64 x (*.f64 x 3/4)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 x (*.f64 1/2 x)) x) (pow.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) 2)))) x) (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))) (*.f64 -1/4 (/.f64 (-.f64 x (*.f64 1/2 x)) (pow.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) 2)))))) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 x (*.f64 1/2 x)) x) (pow.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) 2)))) y) (/.f64 x (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2)))))) (*.f64 1/2 (/.f64 x (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))))
(+.f64 (neg.f64 (*.f64 (*.f64 y y) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1/2 (+.f64 (*.f64 x x) (*.f64 -1/4 (*.f64 x x)))) (/.f64 (*.f64 1/2 (*.f64 x (+.f64 x (*.f64 -1/2 x)))) (pow.f64 (+.f64 (*.f64 x x) (*.f64 -1/4 (*.f64 x x))) 2))) (/.f64 (+.f64 (*.f64 x x) (*.f64 -1/4 (*.f64 x x))) x)) (/.f64 (*.f64 -1/4 (+.f64 x (*.f64 -1/2 x))) (pow.f64 (+.f64 (*.f64 x x) (*.f64 -1/4 (*.f64 x x))) 2))))) (+.f64 (*.f64 y (-.f64 (/.f64 1/2 (+.f64 (*.f64 x x) (*.f64 -1/4 (*.f64 x x)))) (/.f64 (*.f64 1/2 (*.f64 x (+.f64 x (*.f64 -1/2 x)))) (pow.f64 (+.f64 (*.f64 x x) (*.f64 -1/4 (*.f64 x x))) 2)))) (/.f64 (+.f64 x (*.f64 -1/2 x)) (+.f64 (*.f64 x x) (*.f64 -1/4 (*.f64 x x))))))
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) 3/4)) (/.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (*.f64 (*.f64 x x) 3/4) 2))) (/.f64 (*.f64 (*.f64 x x) 3/4) x)) (*.f64 -1/4 (/.f64 1/2 (/.f64 (pow.f64 (*.f64 (*.f64 x x) 3/4) 2) x)))) (fma.f64 y (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) 3/4)) (/.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (*.f64 (*.f64 x x) 3/4) 2))) (*.f64 1/2 (/.f64 x (*.f64 (*.f64 x x) 3/4)))))
(-.f64 (fma.f64 y (+.f64 (/.f64 1/2 (*.f64 x (*.f64 x 3/4))) (/.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 (pow.f64 x 4) 9/16))) (*.f64 1/2 (/.f64 x (*.f64 x (*.f64 x 3/4))))) (*.f64 y (*.f64 y (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 4) 9/16)) (/.f64 (*.f64 (*.f64 x x) -1/4) (pow.f64 (*.f64 x (*.f64 x 3/4)) 3))) x) (/.f64 -1/4 (/.f64 (*.f64 (pow.f64 x 4) 9/16) (*.f64 x 1/2)))))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 x (*.f64 1/2 x)) x) (pow.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) 2)))) x) (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))) (*.f64 -1/4 (/.f64 (-.f64 x (*.f64 1/2 x)) (pow.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) 2)))))) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 x (*.f64 1/2 x)) x) (pow.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) 2)))) y) (+.f64 (/.f64 x (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2)))) (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 x (*.f64 1/2 x)) x) (pow.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) 2)))) (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 x (*.f64 1/2 x)) x) (pow.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) 2)))) x) (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))) (*.f64 -1/4 (/.f64 (-.f64 x (*.f64 1/2 x)) (pow.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) 2)))) x) (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))))))))) (*.f64 1/2 (/.f64 x (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))))))
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(fma.f64 y -1/2 (-.f64 (fma.f64 -2 (*.f64 (/.f64 (*.f64 2 (+.f64 (*.f64 (*.f64 x x) 3/4) (*.f64 (*.f64 x -1/2) (+.f64 x (*.f64 x 1/2))))) y) (/.f64 (*.f64 x 1/2) y)) (fma.f64 2 (/.f64 (*.f64 (*.f64 x x) 3/4) y) x)) (fma.f64 2 (*.f64 (/.f64 (*.f64 x 1/2) y) (+.f64 x (*.f64 x 1/2))) (*.f64 x -1/2))))
(-.f64 (fma.f64 y -1/2 (fma.f64 -2 (*.f64 (/.f64 2 (/.f64 y (fma.f64 x (*.f64 x 3/4) (*.f64 (*.f64 x 3/2) (*.f64 x -1/2))))) (/.f64 (*.f64 x 1/2) y)) (fma.f64 2 (/.f64 (*.f64 x (*.f64 x 3/4)) y) x))) (fma.f64 2 (*.f64 (/.f64 (*.f64 x 1/2) y) (*.f64 x 3/2)) (*.f64 x -1/2)))
(*.f64 -1/2 y)
(*.f64 y -1/2)
(-.f64 (+.f64 (*.f64 -1/2 y) x) (*.f64 -1 (-.f64 x (*.f64 1/2 x))))
(fma.f64 -1/2 y (*.f64 x 3/2))
(fma.f64 y -1/2 (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 y -1/2))
(-.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2)))) (*.f64 -2 (*.f64 (-.f64 x (*.f64 1/2 x)) (-.f64 x (*.f64 -1 (-.f64 x (*.f64 1/2 x))))))) y)) x)) (*.f64 -1 (-.f64 x (*.f64 1/2 x))))
(-.f64 (fma.f64 -1/2 y (fma.f64 -1 (/.f64 (*.f64 -2 (-.f64 (+.f64 (*.f64 x x) (*.f64 -1/4 (*.f64 x x))) (*.f64 (+.f64 x (*.f64 -1/2 x)) (-.f64 x (neg.f64 (+.f64 x (*.f64 -1/2 x))))))) y) x)) (neg.f64 (+.f64 x (*.f64 -1/2 x))))
(+.f64 (fma.f64 y -1/2 (/.f64 (*.f64 2 (+.f64 (*.f64 (*.f64 x x) 3/4) (*.f64 (*.f64 x -1/2) (+.f64 x (*.f64 x 1/2))))) y)) (+.f64 x (*.f64 x 1/2)))
(+.f64 (fma.f64 y -1/2 (/.f64 2 (/.f64 y (fma.f64 x (*.f64 x 3/4) (*.f64 (*.f64 x 3/2) (*.f64 x -1/2)))))) (*.f64 x 3/2))
(-.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 -2 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2)))) (*.f64 -2 (*.f64 (-.f64 x (*.f64 1/2 x)) (-.f64 x (*.f64 -1 (-.f64 x (*.f64 1/2 x))))))) (-.f64 x (*.f64 1/2 x))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2)))) (*.f64 -2 (*.f64 (-.f64 x (*.f64 1/2 x)) (-.f64 x (*.f64 -1 (-.f64 x (*.f64 1/2 x))))))) y)) x))) (*.f64 -1 (-.f64 x (*.f64 1/2 x))))
(-.f64 (fma.f64 -1/2 y (fma.f64 2 (/.f64 (*.f64 -2 (-.f64 (+.f64 (*.f64 x x) (*.f64 -1/4 (*.f64 x x))) (*.f64 (+.f64 x (*.f64 -1/2 x)) (-.f64 x (neg.f64 (+.f64 x (*.f64 -1/2 x))))))) (/.f64 (*.f64 y y) (+.f64 x (*.f64 -1/2 x)))) (fma.f64 -1 (/.f64 (*.f64 -2 (-.f64 (+.f64 (*.f64 x x) (*.f64 -1/4 (*.f64 x x))) (*.f64 (+.f64 x (*.f64 -1/2 x)) (-.f64 x (neg.f64 (+.f64 x (*.f64 -1/2 x))))))) y) x))) (neg.f64 (+.f64 x (*.f64 -1/2 x))))
(+.f64 (*.f64 x 1/2) (+.f64 (fma.f64 2 (*.f64 (/.f64 (*.f64 -2 (+.f64 (*.f64 (*.f64 x x) 3/4) (*.f64 (*.f64 x -1/2) (+.f64 x (*.f64 x 1/2))))) (*.f64 y y)) (*.f64 x 1/2)) (/.f64 (*.f64 2 (+.f64 (*.f64 (*.f64 x x) 3/4) (*.f64 (*.f64 x -1/2) (+.f64 x (*.f64 x 1/2))))) y)) (fma.f64 y -1/2 x)))
(fma.f64 y -1/2 (+.f64 (fma.f64 2 (*.f64 (/.f64 (*.f64 -2 (fma.f64 x (*.f64 x 3/4) (*.f64 (*.f64 x 3/2) (*.f64 x -1/2)))) (*.f64 y y)) (*.f64 x 1/2)) (/.f64 2 (/.f64 y (fma.f64 x (*.f64 x 3/4) (*.f64 (*.f64 x 3/2) (*.f64 x -1/2)))))) (*.f64 x 3/2)))
(*.f64 1/2 y)
(*.f64 y 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(-.f64 x (*.f64 1/2 x))
(*.f64 x 1/2)
(-.f64 (+.f64 (*.f64 1/2 y) x) (*.f64 1/2 x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(-.f64 (+.f64 (*.f64 1/2 y) x) (*.f64 1/2 x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(-.f64 (+.f64 (*.f64 1/2 y) x) (*.f64 1/2 x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(*.f64 1/2 y)
(*.f64 y 1/2)
(-.f64 (+.f64 (*.f64 1/2 y) x) (*.f64 1/2 x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(-.f64 (+.f64 (*.f64 1/2 y) x) (*.f64 1/2 x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(-.f64 (+.f64 (*.f64 1/2 y) x) (*.f64 1/2 x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(*.f64 1/2 y)
(*.f64 y 1/2)
(-.f64 (+.f64 (*.f64 1/2 y) x) (*.f64 1/2 x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(-.f64 (+.f64 (*.f64 1/2 y) x) (*.f64 1/2 x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(-.f64 (+.f64 (*.f64 1/2 y) x) (*.f64 1/2 x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))

localize14.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)
0.0b
(fma.f64 (-.f64 x y) 1/2 x)
0.0b
(sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))
✓0.0b
(sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))
✓0.0b
(fma.f64 (-.f64 x y) 1/2 x)
✓0.2b
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)
Compiler

Compiled 31 to 15 computations (51.6% saved)

series19.0ms (0.3%)

Counts
3 → 40
Calls

18 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)
3.0ms
x
@0
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)
2.0ms
y
@inf
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)
2.0ms
y
@0
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)

rewrite52.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
852×pow1_binary64
794×add-log-exp_binary64
793×log1p-expm1-u_binary64
793×expm1-log1p-u_binary64
777×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
119626
2214626
Stop Event
1×node limit
Counts
3 → 68
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)
(fma.f64 (-.f64 x y) 1/2 x)
(sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 x y) 1/2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (-.f64 x y) 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 x y) 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1/4) (*.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1/4) (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1/4)) (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x y) 1/2) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (-.f64 x y) 1/2) (*.f64 (-.f64 x y) 1/2)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 x y) 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (-.f64 x y) 1/2) (*.f64 (-.f64 x y) 1/2)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x y) 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 x y) 1/2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (-.f64 x y) 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 x y) 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1/4) (*.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1/4) (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1/4)) (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x y) 1/2) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (-.f64 x y) 1/2) (*.f64 (-.f64 x y) 1/2)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 x y) 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (-.f64 x y) 1/2) (*.f64 (-.f64 x y) 1/2)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1/4) (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))))))))

simplify54.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
593×fma-def_binary64
422×associate-*l*_binary64
411×associate-*r*_binary64
305×associate-/r*_binary64
282×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01291016
1377828
21261664
36048588
Stop Event
1×node limit
Counts
108 → 79
Calls
Call 1
Inputs
(*.f64 y (pow.f64 (sqrt.f64 -1/2) 2))
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 -1/2) 2)) (*.f64 3/2 x))
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 -1/2) 2)) (+.f64 (*.f64 3/2 x) (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 81/256 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1/2) 6)))) (pow.f64 (*.f64 -9/32 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 (sqrt.f64 -1/2) 3)))) 2))) (*.f64 405/1024 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1/2) 6))))) (pow.f64 x 4))))
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 -1/2) 2)) (+.f64 (*.f64 3/2 x) (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 81/256 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1/2) 6)))) (pow.f64 (*.f64 -9/32 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 (sqrt.f64 -1/2) 3)))) 2))) (*.f64 405/1024 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1/2) 6))))) (pow.f64 x 4))))
(+.f64 (*.f64 1/2 x) x)
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3))) (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/32 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3)))) 2) (*.f64 1/256 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3))))) (*.f64 1/1024 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3)))))) x)))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3))) (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/32 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3)))) 2) (*.f64 1/256 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3))))) (*.f64 1/1024 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3)))))) (+.f64 (*.f64 (pow.f64 y 5) (+.f64 (*.f64 1/2048 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 4))) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2048 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 4))) (*.f64 1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -1/32 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3)))) 2) (*.f64 1/256 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3)))) (+.f64 (*.f64 1/2 x) x))))) (*.f64 1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -1/32 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3)))) 2) (*.f64 1/256 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3)))) (+.f64 (*.f64 1/2 x) x)))))) x))))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 1/2 x) x)
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(*.f64 -1/2 y)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(*.f64 -1/2 y)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(*.f64 (sqrt.f64 y) (sqrt.f64 -1/2))
(+.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 -1/2)) (*.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 -1/2)))))
(+.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 -1/2)) (+.f64 (*.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 -1/2)))) (*.f64 -9/32 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1/2) 3))))))
(+.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 -1/2)) (+.f64 (*.f64 27/128 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1/2) 5)))) (+.f64 (*.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 -1/2)))) (*.f64 -9/32 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1/2) 3)))))))
(sqrt.f64 (+.f64 (*.f64 1/2 x) x))
(+.f64 (*.f64 -1/4 (*.f64 y (sqrt.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) x))))) (sqrt.f64 (+.f64 (*.f64 1/2 x) x)))
(+.f64 (*.f64 -1/32 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3))))) (+.f64 (*.f64 -1/4 (*.f64 y (sqrt.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) x))))) (sqrt.f64 (+.f64 (*.f64 1/2 x) x))))
(+.f64 (*.f64 -1/32 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3))))) (+.f64 (*.f64 -1/4 (*.f64 y (sqrt.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) x))))) (+.f64 (*.f64 -1/128 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 5))))) (sqrt.f64 (+.f64 (*.f64 1/2 x) x)))))
Outputs
(*.f64 y (pow.f64 (sqrt.f64 -1/2) 2))
(*.f64 y -1/2)
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 -1/2) 2)) (*.f64 3/2 x))
(fma.f64 y (pow.f64 (sqrt.f64 -1/2) 2) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y -1/2))
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 -1/2) 2)) (+.f64 (*.f64 3/2 x) (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 81/256 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1/2) 6)))) (pow.f64 (*.f64 -9/32 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 (sqrt.f64 -1/2) 3)))) 2))) (*.f64 405/1024 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1/2) 6))))) (pow.f64 x 4))))
(fma.f64 y (pow.f64 (sqrt.f64 -1/2) 2) (fma.f64 3/2 x (*.f64 (fma.f64 -1 (+.f64 (/.f64 81/256 (*.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1/2) 6))) (pow.f64 (*.f64 -9/32 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 (sqrt.f64 -1/2) 3)))) 2)) (/.f64 405/1024 (*.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1/2) 6)))) (pow.f64 x 4))))
(fma.f64 y -1/2 (fma.f64 (-.f64 (/.f64 -405/128 (pow.f64 y 3)) (+.f64 (/.f64 -81/32 (pow.f64 y 3)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 (/.f64 -2 (sqrt.f64 -1/2)) -9/32)) 2))) (pow.f64 x 4) (*.f64 3/2 x)))
(fma.f64 (-.f64 (*.f64 (/.f64 -8 (pow.f64 y 3)) 81/1024) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 9/16 (sqrt.f64 -1/2))) 2)) (pow.f64 x 4) (fma.f64 3/2 x (*.f64 y -1/2)))
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 -1/2) 2)) (+.f64 (*.f64 3/2 x) (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 81/256 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1/2) 6)))) (pow.f64 (*.f64 -9/32 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 (sqrt.f64 -1/2) 3)))) 2))) (*.f64 405/1024 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1/2) 6))))) (pow.f64 x 4))))
(fma.f64 y (pow.f64 (sqrt.f64 -1/2) 2) (fma.f64 3/2 x (*.f64 (fma.f64 -1 (+.f64 (/.f64 81/256 (*.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1/2) 6))) (pow.f64 (*.f64 -9/32 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 (sqrt.f64 -1/2) 3)))) 2)) (/.f64 405/1024 (*.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1/2) 6)))) (pow.f64 x 4))))
(fma.f64 y -1/2 (fma.f64 (-.f64 (/.f64 -405/128 (pow.f64 y 3)) (+.f64 (/.f64 -81/32 (pow.f64 y 3)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 (/.f64 -2 (sqrt.f64 -1/2)) -9/32)) 2))) (pow.f64 x 4) (*.f64 3/2 x)))
(fma.f64 (-.f64 (*.f64 (/.f64 -8 (pow.f64 y 3)) 81/1024) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 9/16 (sqrt.f64 -1/2))) 2)) (pow.f64 x 4) (fma.f64 3/2 x (*.f64 y -1/2)))
(+.f64 (*.f64 1/2 x) x)
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(fma.f64 y (pow.f64 (sqrt.f64 -1/2) 2) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y -1/2))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3))) (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/32 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3)))) 2) (*.f64 1/256 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3))))) (*.f64 1/1024 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3)))))) x)))
(fma.f64 -1/2 y (fma.f64 1/2 x (fma.f64 (pow.f64 y 4) (+.f64 (/.f64 1/256 (pow.f64 (*.f64 3/2 x) 3)) (fma.f64 -1 (+.f64 (/.f64 1/256 (pow.f64 (*.f64 3/2 x) 3)) (pow.f64 (*.f64 -1/32 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 3/2 x) 3)))) 2)) (/.f64 1/1024 (pow.f64 (*.f64 3/2 x) 3)))) x)))
(fma.f64 y -1/2 (fma.f64 x 1/2 (fma.f64 (pow.f64 y 4) (+.f64 (/.f64 1/1024 (*.f64 (pow.f64 x 3) 27/8)) (-.f64 (/.f64 1/256 (*.f64 (pow.f64 x 3) 27/8)) (+.f64 (/.f64 1/256 (*.f64 (pow.f64 x 3) 27/8)) (pow.f64 (*.f64 -1/32 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 x 3) 27/8)))) 2)))) x)))
(fma.f64 y -1/2 (fma.f64 3/2 x (*.f64 (pow.f64 y 4) (-.f64 (*.f64 (/.f64 8/27 (pow.f64 x 3)) 5/1024) (*.f64 (/.f64 8/27 (pow.f64 x 3)) 5/1024)))))
(fma.f64 y -1/2 (fma.f64 (pow.f64 y 4) 0 (*.f64 3/2 x)))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3))) (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/32 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3)))) 2) (*.f64 1/256 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3))))) (*.f64 1/1024 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3)))))) (+.f64 (*.f64 (pow.f64 y 5) (+.f64 (*.f64 1/2048 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 4))) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2048 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 4))) (*.f64 1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -1/32 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3)))) 2) (*.f64 1/256 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3)))) (+.f64 (*.f64 1/2 x) x))))) (*.f64 1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -1/32 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3)))) 2) (*.f64 1/256 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3)))) (+.f64 (*.f64 1/2 x) x)))))) x))))
(fma.f64 -1/2 y (fma.f64 1/2 x (fma.f64 (pow.f64 y 4) (+.f64 (/.f64 1/256 (pow.f64 (*.f64 3/2 x) 3)) (fma.f64 -1 (+.f64 (/.f64 1/256 (pow.f64 (*.f64 3/2 x) 3)) (pow.f64 (*.f64 -1/32 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 3/2 x) 3)))) 2)) (/.f64 1/1024 (pow.f64 (*.f64 3/2 x) 3)))) (fma.f64 (pow.f64 y 5) (+.f64 (/.f64 1/2048 (pow.f64 (*.f64 3/2 x) 4)) (fma.f64 -1 (+.f64 (/.f64 1/2048 (pow.f64 (*.f64 3/2 x) 4)) (/.f64 (*.f64 1/4 (+.f64 (/.f64 1/256 (pow.f64 (*.f64 3/2 x) 3)) (pow.f64 (*.f64 -1/32 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 3/2 x) 3)))) 2))) (*.f64 3/2 x))) (/.f64 (*.f64 1/4 (+.f64 (/.f64 1/256 (pow.f64 (*.f64 3/2 x) 3)) (pow.f64 (*.f64 -1/32 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 3/2 x) 3)))) 2))) (*.f64 3/2 x)))) x))))
(fma.f64 y -1/2 (fma.f64 x 1/2 (fma.f64 (pow.f64 y 4) (+.f64 (/.f64 1/1024 (*.f64 (pow.f64 x 3) 27/8)) (-.f64 (/.f64 1/256 (*.f64 (pow.f64 x 3) 27/8)) (+.f64 (/.f64 1/256 (*.f64 (pow.f64 x 3) 27/8)) (pow.f64 (*.f64 -1/32 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 x 3) 27/8)))) 2)))) (fma.f64 (pow.f64 y 5) (+.f64 (/.f64 1/2048 (pow.f64 (*.f64 3/2 x) 4)) (-.f64 (*.f64 1/6 (/.f64 (+.f64 (/.f64 1/256 (*.f64 (pow.f64 x 3) 27/8)) (pow.f64 (*.f64 -1/32 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 x 3) 27/8)))) 2)) x)) (+.f64 (/.f64 1/2048 (pow.f64 (*.f64 3/2 x) 4)) (*.f64 1/6 (/.f64 (+.f64 (/.f64 1/256 (*.f64 (pow.f64 x 3) 27/8)) (pow.f64 (*.f64 -1/32 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 x 3) 27/8)))) 2)) x))))) x))))
(fma.f64 y -1/2 (fma.f64 (pow.f64 y 4) (-.f64 (*.f64 (/.f64 8/27 (pow.f64 x 3)) 5/1024) (*.f64 (/.f64 8/27 (pow.f64 x 3)) 5/1024)) (fma.f64 x 1/2 (fma.f64 (pow.f64 y 5) (*.f64 0 (fma.f64 1/6 (/.f64 (*.f64 (/.f64 8/27 (pow.f64 x 3)) 5/1024) x) (/.f64 1/2048 (*.f64 (pow.f64 x 4) 81/16)))) x))))
(fma.f64 y -1/2 (fma.f64 (pow.f64 y 4) 0 (fma.f64 x 1/2 (fma.f64 (pow.f64 y 5) 0 x))))
(*.f64 -1/2 y)
(*.f64 y (pow.f64 (sqrt.f64 -1/2) 2))
(*.f64 y -1/2)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 y (pow.f64 (sqrt.f64 -1/2) 2) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 y (pow.f64 (sqrt.f64 -1/2) 2) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 y (pow.f64 (sqrt.f64 -1/2) 2) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y -1/2))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 y (pow.f64 (sqrt.f64 -1/2) 2) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 y (pow.f64 (sqrt.f64 -1/2) 2) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 y (pow.f64 (sqrt.f64 -1/2) 2) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y -1/2))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 y (pow.f64 (sqrt.f64 -1/2) 2) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 y (pow.f64 (sqrt.f64 -1/2) 2) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 y (pow.f64 (sqrt.f64 -1/2) 2) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y -1/2))
(+.f64 (*.f64 1/2 x) x)
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(fma.f64 y (pow.f64 (sqrt.f64 -1/2) 2) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y -1/2))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(fma.f64 y (pow.f64 (sqrt.f64 -1/2) 2) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y -1/2))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(fma.f64 y (pow.f64 (sqrt.f64 -1/2) 2) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y -1/2))
(*.f64 -1/2 y)
(*.f64 y (pow.f64 (sqrt.f64 -1/2) 2))
(*.f64 y -1/2)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 y (pow.f64 (sqrt.f64 -1/2) 2) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y -1/2))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 y (pow.f64 (sqrt.f64 -1/2) 2) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y -1/2))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 y (pow.f64 (sqrt.f64 -1/2) 2) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y -1/2))
(*.f64 -1/2 y)
(*.f64 y (pow.f64 (sqrt.f64 -1/2) 2))
(*.f64 y -1/2)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 y (pow.f64 (sqrt.f64 -1/2) 2) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y -1/2))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 y (pow.f64 (sqrt.f64 -1/2) 2) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y -1/2))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 y (pow.f64 (sqrt.f64 -1/2) 2) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y -1/2))
(*.f64 (sqrt.f64 y) (sqrt.f64 -1/2))
(*.f64 (sqrt.f64 -1/2) (sqrt.f64 y))
(+.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 -1/2)) (*.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 -1/2)))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 -1/2) (*.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 -1/2)))))
(fma.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 -1/2))) (*.f64 (sqrt.f64 -1/2) (sqrt.f64 y)))
(+.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 -1/2)) (+.f64 (*.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 -1/2)))) (*.f64 -9/32 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1/2) 3))))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 -1/2) (fma.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 -1/2))) (*.f64 (*.f64 -9/32 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1/2) 3)))))
(fma.f64 (sqrt.f64 -1/2) (sqrt.f64 y) (fma.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 -1/2))) (*.f64 (*.f64 (/.f64 x (sqrt.f64 -1/2)) (/.f64 x -1/2)) (*.f64 -9/32 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))))
(fma.f64 (sqrt.f64 -1/2) (sqrt.f64 y) (fma.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 -1/2))) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 (sqrt.f64 -1/2) (*.f64 x x))) 9/16)))
(fma.f64 (sqrt.f64 -1/2) (sqrt.f64 y) (*.f64 (/.f64 x (sqrt.f64 -1/2)) (+.f64 (*.f64 3/4 (sqrt.f64 (/.f64 1 y))) (*.f64 (*.f64 -9/32 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (/.f64 x -1/2)))))
(+.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 -1/2)) (+.f64 (*.f64 27/128 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1/2) 5)))) (+.f64 (*.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 -1/2)))) (*.f64 -9/32 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1/2) 3)))))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 -1/2) (fma.f64 27/128 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1/2) 5))) (fma.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 -1/2))) (*.f64 (*.f64 -9/32 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1/2) 3))))))
(fma.f64 (sqrt.f64 -1/2) (sqrt.f64 y) (fma.f64 27/128 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1/2) 5))) (fma.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 -1/2))) (*.f64 (*.f64 (/.f64 x (sqrt.f64 -1/2)) (/.f64 x -1/2)) (*.f64 -9/32 (sqrt.f64 (/.f64 1 (pow.f64 y 3))))))))
(fma.f64 (sqrt.f64 -1/2) (sqrt.f64 y) (fma.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 -1/2))) (fma.f64 27/128 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1/2) 5))) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 (sqrt.f64 -1/2) (*.f64 x x))) 9/16))))
(fma.f64 (sqrt.f64 -1/2) (sqrt.f64 y) (fma.f64 27/128 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1/2) 5))) (*.f64 (/.f64 x (sqrt.f64 -1/2)) (+.f64 (*.f64 3/4 (sqrt.f64 (/.f64 1 y))) (*.f64 (*.f64 -9/32 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (/.f64 x -1/2))))))
(sqrt.f64 (+.f64 (*.f64 1/2 x) x))
(sqrt.f64 (*.f64 3/2 x))
(+.f64 (*.f64 -1/4 (*.f64 y (sqrt.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) x))))) (sqrt.f64 (+.f64 (*.f64 1/2 x) x)))
(fma.f64 -1/4 (*.f64 y (sqrt.f64 (/.f64 1 (*.f64 3/2 x)))) (sqrt.f64 (*.f64 3/2 x)))
(fma.f64 -1/4 (*.f64 y (sqrt.f64 (/.f64 2/3 x))) (sqrt.f64 (*.f64 3/2 x)))
(fma.f64 y (*.f64 -1/4 (sqrt.f64 (/.f64 2/3 x))) (sqrt.f64 (*.f64 3/2 x)))
(+.f64 (*.f64 -1/32 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3))))) (+.f64 (*.f64 -1/4 (*.f64 y (sqrt.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) x))))) (sqrt.f64 (+.f64 (*.f64 1/2 x) x))))
(fma.f64 -1/32 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 3/2 x) 3))) (*.f64 y y)) (fma.f64 -1/4 (*.f64 y (sqrt.f64 (/.f64 1 (*.f64 3/2 x)))) (sqrt.f64 (*.f64 3/2 x))))
(fma.f64 -1/32 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 x 3) 27/8))) (*.f64 y y)) (fma.f64 -1/4 (*.f64 y (sqrt.f64 (/.f64 2/3 x))) (sqrt.f64 (*.f64 3/2 x))))
(fma.f64 -1/4 (*.f64 y (sqrt.f64 (/.f64 2/3 x))) (fma.f64 (sqrt.f64 (/.f64 8/27 (pow.f64 x 3))) (*.f64 y (*.f64 y -1/32)) (sqrt.f64 (*.f64 3/2 x))))
(+.f64 (*.f64 -1/32 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 3))))) (+.f64 (*.f64 -1/4 (*.f64 y (sqrt.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) x))))) (+.f64 (*.f64 -1/128 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) x) 5))))) (sqrt.f64 (+.f64 (*.f64 1/2 x) x)))))
(fma.f64 -1/32 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 3/2 x) 3))) (*.f64 y y)) (fma.f64 -1/4 (*.f64 y (sqrt.f64 (/.f64 1 (*.f64 3/2 x)))) (fma.f64 -1/128 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 3/2 x) 5)))) (sqrt.f64 (*.f64 3/2 x)))))
(fma.f64 -1/32 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 x 3) 27/8))) (*.f64 y y)) (fma.f64 -1/4 (*.f64 y (sqrt.f64 (/.f64 2/3 x))) (fma.f64 -1/128 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 3/2 x) 5)))) (sqrt.f64 (*.f64 3/2 x)))))
(fma.f64 -1/32 (*.f64 (sqrt.f64 (/.f64 8/27 (pow.f64 x 3))) (*.f64 y y)) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 3/2 x) 5))) (*.f64 (pow.f64 y 3) -1/128) (fma.f64 y (*.f64 -1/4 (sqrt.f64 (/.f64 2/3 x))) (sqrt.f64 (*.f64 3/2 x)))))

localize15.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 x)
0.5b
(pow.f64 (cbrt.f64 x) 2)
0.1b
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 x y) 1/2))
✓0.1b
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 x y) 1/2))
✓0.5b
(pow.f64 (cbrt.f64 x) 2)
✓0.6b
(cbrt.f64 x)
Compiler

Compiled 32 to 15 computations (53.1% saved)

series11.0ms (0.2%)

Counts
3 → 18
Calls

12 calls:

TimeVariablePointExpression
4.0ms
x
@0
(cbrt.f64 x)
1.0ms
y
@0
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 x y) 1/2))
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 x) 2)
1.0ms
x
@-inf
(cbrt.f64 x)
1.0ms
x
@-inf
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 x y) 1/2))

rewrite55.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
746×prod-diff_binary64
431×log-prod_binary64
283×pow-prod-down_binary64
262×fma-def_binary64
255×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01027
121419
2258017
Stop Event
1×node limit
Counts
3 → 98
Calls
Call 1
Inputs
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 2)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 x y) 1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 x)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (-.f64 x y) 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 x y) 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 x y) 1/2) 3)) (fma.f64 x x (-.f64 (*.f64 1/4 (pow.f64 (-.f64 x y) 2)) (*.f64 x (*.f64 (-.f64 x y) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 (-.f64 x y) 2))) (-.f64 x (*.f64 (-.f64 x y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 x y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x)))))))

simplify2.2s (33.9%)

Algorithm
1×egg-herbie
Rules
1978×sqr-pow_binary64
1977×pow-base-1_binary64
28×fma-def_binary64
8×+-commutative_binary64
5×associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018120
146120
278120
393120
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19777997120
Stop Event
1×node limit
Counts
116 → 108
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(+.f64 (*.f64 1/2 x) (*.f64 -1/2 y))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 x))
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 1/2 x))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) (*.f64 (pow.f64 1 1/3) x)))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) (*.f64 (pow.f64 1 1/3) x)))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) (*.f64 (pow.f64 1 1/3) x)))
(*.f64 -1/2 y)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 -1/2 y)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 -1/2 y)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 -1/2 y)))
(*.f64 -1/2 y)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 -1/2 y)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 -1/2 y)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 -1/2 y)))
Outputs
(*.f64 -1/2 y)
(+.f64 (*.f64 1/2 x) (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 -1/2 y))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 x))
(fma.f64 -1/2 y (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 -1/2 y))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 x))
(fma.f64 -1/2 y (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 1/2 x))
(*.f64 x 3/2)
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) (*.f64 (pow.f64 1 1/3) x)))
(fma.f64 -1/2 y (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) (*.f64 (pow.f64 1 1/3) x)))
(fma.f64 -1/2 y (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) (*.f64 (pow.f64 1 1/3) x)))
(fma.f64 -1/2 y (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 -1/2 y)))
(fma.f64 -1/2 y (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 -1/2 y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 -1/2 y)))
(fma.f64 -1/2 y (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 -1/2 y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 -1/2 y)))
(fma.f64 -1/2 y (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 -1/2 y)))
(fma.f64 -1/2 y (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 -1/2 y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 -1/2 y)))
(fma.f64 -1/2 y (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 -1/2 y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 -1/2 y)))
(fma.f64 -1/2 y (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 -1/2 y))

eval433.0ms (6.7%)

Compiler

Compiled 21387 to 13047 computations (39% saved)

prune104.0ms (1.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New7614765
Fresh808
Picked101
Done224
Total7726778
Error
0b
Counts
778 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.7b
(*.f64 3/2 x)
▶31.8b
(/.f64 1 (/.f64 2/3 x))
▶30.8b
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 x y) 1/2) (*.f64 (-.f64 x y) 1/2)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
✓31.7b
(*.f64 -1/2 y)
▶0b
(fma.f64 x 3/2 (*.f64 y -1/2))
✓0.1b
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
Compiler

Compiled 59 to 41 computations (30.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 x 3/2 (*.f64 y -1/2))
✓0.1b
(fma.f64 x 3/2 (*.f64 y -1/2))
Compiler

Compiled 15 to 10 computations (33.3% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(fma.f64 x 3/2 (*.f64 y -1/2))
1.0ms
x
@0
(fma.f64 x 3/2 (*.f64 y -1/2))
0.0ms
y
@inf
(fma.f64 x 3/2 (*.f64 y -1/2))
0.0ms
y
@-inf
(fma.f64 x 3/2 (*.f64 y -1/2))
0.0ms
x
@-inf
(fma.f64 x 3/2 (*.f64 y -1/2))

rewrite39.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
618×pow1_binary64
572×add-log-exp_binary64
572×log1p-expm1-u_binary64
572×expm1-log1p-u_binary64
562×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11418
215308
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 x 3/2 (*.f64 y -1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/2) (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3/2) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 3/2) 1) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 3/2 (*.f64 y -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 3/2 (*.f64 y -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 3/2 (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 3/2 (*.f64 y -1/2))) (pow.f64 (cbrt.f64 (fma.f64 x 3/2 (*.f64 y -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3/2 (*.f64 y -1/2))) 2) (cbrt.f64 (fma.f64 x 3/2 (*.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 3/2 (*.f64 y -1/2))) (sqrt.f64 (fma.f64 x 3/2 (*.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 3/2) 3) (pow.f64 (*.f64 y -1/2) 3)) (+.f64 (*.f64 (*.f64 x 3/2) (*.f64 x 3/2)) (-.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 (*.f64 x 3/2) (*.f64 y -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 3/2) (*.f64 x 3/2)) (*.f64 1/4 (*.f64 y y))) (-.f64 (*.f64 x 3/2) (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3/2 (*.f64 y -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3/2 (*.f64 y -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3/2 (*.f64 y -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3/2 (*.f64 y -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3/2 (*.f64 y -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3/2 (*.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3/2 (*.f64 y -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3/2 (*.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3/2 (*.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3/2 (*.f64 y -1/2))))))))

simplify11.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
4×fma-def_binary64
2×*-commutative_binary64
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08168
112168
215168
Stop Event
1×saturated
Counts
45 → 25
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
Outputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))

localize23.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
28.9b
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 x y) 1/2) (*.f64 (-.f64 x y) 1/2)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
13.9b
(-.f64 (*.f64 (*.f64 (-.f64 x y) 1/2) (*.f64 (-.f64 x y) 1/2)) (*.f64 x x))
0.0b
(-.f64 (*.f64 (-.f64 x y) 1/2) x)
0.0b
(*.f64 (*.f64 (-.f64 x y) 1/2) (*.f64 (-.f64 x y) 1/2))
✓0.0b
(*.f64 (*.f64 (-.f64 x y) 1/2) (*.f64 (-.f64 x y) 1/2))
✓0.0b
(-.f64 (*.f64 (-.f64 x y) 1/2) x)
✓13.9b
(-.f64 (*.f64 (*.f64 (-.f64 x y) 1/2) (*.f64 (-.f64 x y) 1/2)) (*.f64 x x))
✓28.9b
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 x y) 1/2) (*.f64 (-.f64 x y) 1/2)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
Compiler

Compiled 72 to 31 computations (56.9% saved)

series11.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

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

rewrite103.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
747×log-prod_binary64
469×fma-neg_binary64
242×expm1-udef_binary64
242×log1p-udef_binary64
228×pow3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01164
127244
2437544
Stop Event
1×node limit
Counts
4 → 275
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 x y) 1/2) (*.f64 (-.f64 x y) 1/2)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
(-.f64 (*.f64 (*.f64 (-.f64 x y) 1/2) (*.f64 (-.f64 x y) 1/2)) (*.f64 x x))
(-.f64 (*.f64 (-.f64 x y) 1/2) x)
(*.f64 (*.f64 (-.f64 x y) 1/2) (*.f64 (-.f64 x y) 1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/4 (pow.f64 (-.f64 x y) 2)) (-.f64 (*.f64 (-.f64 x y) 1/2) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 x y) 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (-.f64 x y) 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x))) (cbrt.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/4 (pow.f64 (-.f64 x y) 2)) (-.f64 (*.f64 (-.f64 x y) 1/2) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 x y) 1/2) x)))))) 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1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (*.f64 1/4 (-.f64 x y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) 1/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) 1/2) 4))) (sqrt.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (-.f64 x y) 2)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 (-.f64 x y) 2))) (sqrt.f64 1/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/4 (pow.f64 (-.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 x y) 2)) 1/4)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 x y) 2)) 1/4)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 x y) 2)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 x y) 2)) 1/4))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 x y) 2)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 (-.f64 x y) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/4 (-.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 1/4 (-.f64 x y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 x y) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 (-.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (-.f64 x y) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 x y) 1/2) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) 1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 x y) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 (-.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) 1/2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 (-.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 (-.f64 x y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x y) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (-.f64 x y) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 (-.f64 x y) 2))))))))

simplify60.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
651×fma-def_binary64
515×associate-+l+_binary64
364×associate-+r+_binary64
362×associate-*l*_binary64
350×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01391948
14851862
216381485
Stop Event
1×node limit
Counts
371 → 327
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(-.f64 (+.f64 y (*.f64 3/2 x)) (*.f64 3/2 y))
(-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))) (+.f64 (*.f64 3/2 y) (/.f64 (*.f64 y (-.f64 y (*.f64 3/2 y))) x)))
(-.f64 (+.f64 y (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 y (-.f64 y (*.f64 3/2 y))))) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x)))) (+.f64 (*.f64 3/2 y) (/.f64 (*.f64 y (-.f64 y (*.f64 3/2 y))) x)))
(*.f64 3/2 x)
(-.f64 (+.f64 y (*.f64 3/2 x)) (*.f64 3/2 y))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y (-.f64 y (*.f64 3/2 y))))) x)) (+.f64 y (*.f64 3/2 x))) (*.f64 3/2 y))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y (-.f64 y (*.f64 3/2 y))))) x)) (+.f64 y (+.f64 (/.f64 (*.f64 y (-.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y (-.f64 y (*.f64 3/2 y)))))) (pow.f64 x 2)) (*.f64 3/2 x)))) (*.f64 3/2 y))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) (-.f64 (*.f64 1/2 x) x))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x))) (*.f64 y (-.f64 (*.f64 -1/2 (/.f64 x (-.f64 (*.f64 1/2 x) x))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 1/2 x) x) 2)))))) (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x)))
(-.f64 (+.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/4 (/.f64 1 (-.f64 (*.f64 1/2 x) x))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1/2 (/.f64 x (-.f64 (*.f64 1/2 x) x))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 1/2 x) x) 2)))) (-.f64 (*.f64 1/2 x) x))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x))) (*.f64 y (-.f64 (*.f64 -1/2 (/.f64 x (-.f64 (*.f64 1/2 x) x))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 1/2 x) x) 2))))))) (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 (*.f64 1/4 (/.f64 1 (-.f64 (*.f64 1/2 x) x))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1/2 (/.f64 x (-.f64 (*.f64 1/2 x) x))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 1/2 x) x) 2)))) (-.f64 (*.f64 1/2 x) x))))) (-.f64 (*.f64 1/2 x) x))) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/4 (/.f64 1 (-.f64 (*.f64 1/2 x) x))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1/2 (/.f64 x (-.f64 (*.f64 1/2 x) x))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 1/2 x) x) 2)))) (-.f64 (*.f64 1/2 x) x))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x))) (*.f64 y (-.f64 (*.f64 -1/2 (/.f64 x (-.f64 (*.f64 1/2 x) x))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 1/2 x) x) 2)))))))) (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x)))
(*.f64 -1/2 y)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -1/2 y)) (*.f64 1/2 x))
(-.f64 (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/2 y) (*.f64 -2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) y)))) (+.f64 (*.f64 1/2 x) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 2 x) (*.f64 1/2 x)) (-.f64 (*.f64 1/2 x) x)) y))))
(-.f64 (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (-.f64 (*.f64 -2 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (*.f64 -2 (*.f64 (-.f64 (*.f64 1/2 x) x) (-.f64 (*.f64 2 x) (*.f64 1/2 x)))))) (pow.f64 y 2))) (*.f64 -2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) y))))) (+.f64 (*.f64 1/2 x) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 2 x) (*.f64 1/2 x)) (-.f64 (*.f64 1/2 x) x)) y))))
(*.f64 -1/2 y)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -1/2 y)) (*.f64 1/2 x))
(-.f64 (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/2 y) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (*.f64 2 (*.f64 (-.f64 (*.f64 1/2 x) x) (-.f64 (*.f64 2 x) (*.f64 1/2 x))))) y)))) (*.f64 1/2 x))
(-.f64 (+.f64 (*.f64 2 x) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (-.f64 (*.f64 2 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (*.f64 2 (*.f64 (-.f64 (*.f64 1/2 x) x) (-.f64 (*.f64 2 x) (*.f64 1/2 x)))))) (pow.f64 y 2))) (+.f64 (*.f64 -1/2 y) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (*.f64 2 (*.f64 (-.f64 (*.f64 1/2 x) x) (-.f64 (*.f64 2 x) (*.f64 1/2 x))))) y))))) (*.f64 1/2 x))
(*.f64 1/4 (pow.f64 y 2))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (*.f64 1/4 (pow.f64 y 2)))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -3/4 (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -3/4 (pow.f64 x 2))))
(*.f64 -3/4 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (*.f64 -3/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -3/4 (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -3/4 (pow.f64 x 2))))
(*.f64 -3/4 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (*.f64 -3/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -3/4 (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -3/4 (pow.f64 x 2))))
(-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 y x)) (*.f64 1/4 (pow.f64 x 2))) (pow.f64 x 2))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) (pow.f64 x 2))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) (pow.f64 x 2))
(*.f64 1/4 (pow.f64 y 2))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (*.f64 1/4 (pow.f64 y 2)))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) (pow.f64 x 2))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) (pow.f64 x 2))
(*.f64 1/4 (pow.f64 y 2))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (*.f64 1/4 (pow.f64 y 2)))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) (pow.f64 x 2))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) (pow.f64 x 2))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 x) (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 x) (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 x) (*.f64 -1/2 y))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 -1/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 -1/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 -1/2 x))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 -1/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 -1/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 -1/2 x))
(-.f64 (*.f64 1/2 x) x)
(-.f64 (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)) x)
(-.f64 (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)) x)
(-.f64 (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)) x)
(*.f64 -1/2 y)
(-.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1/2 y)) x)
(-.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1/2 y)) x)
(-.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1/2 y)) x)
(*.f64 -1/2 y)
(-.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1/2 y)) x)
(-.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1/2 y)) x)
(-.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1/2 y)) x)
(*.f64 1/4 (pow.f64 y 2))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (*.f64 1/4 (pow.f64 y 2)))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2))))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (*.f64 1/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2))))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (*.f64 1/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2))))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (*.f64 1/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2))))
(*.f64 1/4 (pow.f64 y 2))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (*.f64 1/4 (pow.f64 y 2)))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2))))
(*.f64 1/4 (pow.f64 y 2))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (*.f64 1/4 (pow.f64 y 2)))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2))))
Outputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 3/2 x)
(-.f64 (+.f64 y (*.f64 3/2 x)) (*.f64 3/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))) (+.f64 (*.f64 3/2 y) (/.f64 (*.f64 y (-.f64 y (*.f64 3/2 y))) x)))
(-.f64 (+.f64 y (fma.f64 -1/2 (/.f64 (*.f64 y y) x) (*.f64 3/2 x))) (fma.f64 3/2 y (/.f64 (*.f64 y (-.f64 y (*.f64 y 3/2))) x)))
(-.f64 (+.f64 (fma.f64 -1/2 (/.f64 y (/.f64 x y)) (*.f64 3/2 x)) (*.f64 -1/2 y)) (*.f64 (/.f64 y x) (*.f64 -1/2 y)))
(+.f64 (*.f64 -1/2 y) (fma.f64 3/2 x (/.f64 0 x)))
(-.f64 (+.f64 y (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 y (-.f64 y (*.f64 3/2 y))))) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x)))) (+.f64 (*.f64 3/2 y) (/.f64 (*.f64 y (-.f64 y (*.f64 3/2 y))) x)))
(+.f64 y (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 y (-.f64 y (*.f64 y 3/2)))))) (fma.f64 -1/2 (/.f64 (*.f64 y y) x) (*.f64 3/2 x))) (fma.f64 3/2 y (/.f64 (*.f64 y (-.f64 y (*.f64 y 3/2))) x))))
(-.f64 (+.f64 (-.f64 (fma.f64 -1/2 (/.f64 y (/.f64 x y)) (*.f64 3/2 x)) (*.f64 (/.f64 y x) (/.f64 (-.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) x))) (*.f64 -1/2 y)) (*.f64 (/.f64 y x) (*.f64 -1/2 y)))
(fma.f64 y -3/2 (+.f64 (/.f64 0 x) (fma.f64 (/.f64 y (*.f64 x x)) 0 (fma.f64 3/2 x y))))
(*.f64 3/2 x)
(-.f64 (+.f64 y (*.f64 3/2 x)) (*.f64 3/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y (-.f64 y (*.f64 3/2 y))))) x)) (+.f64 y (*.f64 3/2 x))) (*.f64 3/2 y))
(-.f64 (+.f64 y (fma.f64 -1/2 (/.f64 (*.f64 y y) x) (*.f64 3/2 x))) (fma.f64 3/2 y (/.f64 (*.f64 y (-.f64 y (*.f64 y 3/2))) x)))
(-.f64 (+.f64 (fma.f64 -1/2 (/.f64 y (/.f64 x y)) (*.f64 3/2 x)) (*.f64 -1/2 y)) (*.f64 (/.f64 y x) (*.f64 -1/2 y)))
(+.f64 (*.f64 -1/2 y) (fma.f64 3/2 x (/.f64 0 x)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y (-.f64 y (*.f64 3/2 y))))) x)) (+.f64 y (+.f64 (/.f64 (*.f64 y (-.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y (-.f64 y (*.f64 3/2 y)))))) (pow.f64 x 2)) (*.f64 3/2 x)))) (*.f64 3/2 y))
(+.f64 y (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 y (-.f64 y (*.f64 y 3/2)))))) (fma.f64 -1/2 (/.f64 (*.f64 y y) x) (*.f64 3/2 x))) (fma.f64 3/2 y (/.f64 (*.f64 y (-.f64 y (*.f64 y 3/2))) x))))
(-.f64 (+.f64 (-.f64 (fma.f64 -1/2 (/.f64 y (/.f64 x y)) (*.f64 3/2 x)) (*.f64 (/.f64 y x) (/.f64 (-.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) x))) (*.f64 -1/2 y)) (*.f64 (/.f64 y x) (*.f64 -1/2 y)))
(fma.f64 y -3/2 (+.f64 (/.f64 0 x) (fma.f64 (/.f64 y (*.f64 x x)) 0 (fma.f64 3/2 x y))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) (-.f64 (*.f64 1/2 x) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)) (fma.f64 1/2 x (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) (fma.f64 x 1/2 (neg.f64 x)))
(*.f64 (/.f64 (*.f64 x x) (*.f64 -1/2 x)) -3/4)
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x))) (*.f64 y (-.f64 (*.f64 -1/2 (/.f64 x (-.f64 (*.f64 1/2 x) x))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 1/2 x) x) 2)))))) (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x)))
(-.f64 (fma.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 1/2 x (neg.f64 x))) (*.f64 y (*.f64 -1/2 (-.f64 (/.f64 x (fma.f64 1/2 x (neg.f64 x))) (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)) (pow.f64 (fma.f64 1/2 x (neg.f64 x)) 2)))))) (/.f64 (*.f64 x x) (fma.f64 1/2 x (neg.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 x (fma.f64 x 1/2 (neg.f64 x))) (/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) (pow.f64 (fma.f64 x 1/2 (neg.f64 x)) 2))) y)) (/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) (fma.f64 x 1/2 (neg.f64 x))))
(fma.f64 -1/2 (*.f64 (-.f64 (/.f64 x (*.f64 -1/2 x)) (/.f64 (*.f64 x (*.f64 x -3/4)) (pow.f64 (*.f64 -1/2 x) 2))) y) (*.f64 (/.f64 (*.f64 x x) (*.f64 -1/2 x)) -3/4))
(-.f64 (+.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/4 (/.f64 1 (-.f64 (*.f64 1/2 x) x))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1/2 (/.f64 x (-.f64 (*.f64 1/2 x) x))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 1/2 x) x) 2)))) (-.f64 (*.f64 1/2 x) x))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x))) (*.f64 y (-.f64 (*.f64 -1/2 (/.f64 x (-.f64 (*.f64 1/2 x) x))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 1/2 x) x) 2))))))) (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x)))
(-.f64 (fma.f64 (*.f64 y y) (+.f64 (/.f64 1/4 (fma.f64 1/2 x (neg.f64 x))) (*.f64 1/2 (/.f64 (*.f64 -1/2 (-.f64 (/.f64 x (fma.f64 1/2 x (neg.f64 x))) (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)) (pow.f64 (fma.f64 1/2 x (neg.f64 x)) 2)))) (fma.f64 1/2 x (neg.f64 x))))) (fma.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 1/2 x (neg.f64 x))) (*.f64 y (*.f64 -1/2 (-.f64 (/.f64 x (fma.f64 1/2 x (neg.f64 x))) (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)) (pow.f64 (fma.f64 1/2 x (neg.f64 x)) 2))))))) (/.f64 (*.f64 x x) (fma.f64 1/2 x (neg.f64 x))))
(fma.f64 (*.f64 y y) (-.f64 (/.f64 1/4 (fma.f64 x 1/2 (neg.f64 x))) (/.f64 (*.f64 1/4 (-.f64 (/.f64 x (fma.f64 x 1/2 (neg.f64 x))) (/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) (pow.f64 (fma.f64 x 1/2 (neg.f64 x)) 2)))) (fma.f64 x 1/2 (neg.f64 x)))) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 x (fma.f64 x 1/2 (neg.f64 x))) (/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) (pow.f64 (fma.f64 x 1/2 (neg.f64 x)) 2))) y)) (/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) (fma.f64 x 1/2 (neg.f64 x)))))
(fma.f64 (*.f64 y y) (+.f64 (/.f64 1/4 (*.f64 -1/2 x)) (/.f64 (*.f64 -1/4 (-.f64 (/.f64 x (*.f64 -1/2 x)) (/.f64 (*.f64 x (*.f64 x -3/4)) (pow.f64 (*.f64 -1/2 x) 2)))) (*.f64 -1/2 x))) (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 x (*.f64 -1/2 x)) (/.f64 (*.f64 x (*.f64 x -3/4)) (pow.f64 (*.f64 -1/2 x) 2))) y) (*.f64 (/.f64 (*.f64 x x) (*.f64 -1/2 x)) -3/4)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 (*.f64 1/4 (/.f64 1 (-.f64 (*.f64 1/2 x) x))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1/2 (/.f64 x (-.f64 (*.f64 1/2 x) x))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 1/2 x) x) 2)))) (-.f64 (*.f64 1/2 x) x))))) (-.f64 (*.f64 1/2 x) x))) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/4 (/.f64 1 (-.f64 (*.f64 1/2 x) x))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1/2 (/.f64 x (-.f64 (*.f64 1/2 x) x))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 1/2 x) x) 2)))) (-.f64 (*.f64 1/2 x) x))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x))) (*.f64 y (-.f64 (*.f64 -1/2 (/.f64 x (-.f64 (*.f64 1/2 x) x))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 1/2 x) x) 2)))))))) (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x)))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 y 3) (/.f64 (fma.f64 1/2 x (neg.f64 x)) (+.f64 (/.f64 1/4 (fma.f64 1/2 x (neg.f64 x))) (*.f64 1/2 (/.f64 (*.f64 -1/2 (-.f64 (/.f64 x (fma.f64 1/2 x (neg.f64 x))) (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)) (pow.f64 (fma.f64 1/2 x (neg.f64 x)) 2)))) (fma.f64 1/2 x (neg.f64 x))))))) (fma.f64 (*.f64 y y) (+.f64 (/.f64 1/4 (fma.f64 1/2 x (neg.f64 x))) (*.f64 1/2 (/.f64 (*.f64 -1/2 (-.f64 (/.f64 x (fma.f64 1/2 x (neg.f64 x))) (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)) (pow.f64 (fma.f64 1/2 x (neg.f64 x)) 2)))) (fma.f64 1/2 x (neg.f64 x))))) (fma.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 1/2 x (neg.f64 x))) (*.f64 y (*.f64 -1/2 (-.f64 (/.f64 x (fma.f64 1/2 x (neg.f64 x))) (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)) (pow.f64 (fma.f64 1/2 x (neg.f64 x)) 2)))))))) (/.f64 (*.f64 x x) (fma.f64 1/2 x (neg.f64 x))))
(fma.f64 1/2 (*.f64 (/.f64 (pow.f64 y 3) (fma.f64 x 1/2 (neg.f64 x))) (-.f64 (/.f64 1/4 (fma.f64 x 1/2 (neg.f64 x))) (/.f64 (*.f64 1/4 (-.f64 (/.f64 x (fma.f64 x 1/2 (neg.f64 x))) (/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) (pow.f64 (fma.f64 x 1/2 (neg.f64 x)) 2)))) (fma.f64 x 1/2 (neg.f64 x))))) (fma.f64 (*.f64 y y) (-.f64 (/.f64 1/4 (fma.f64 x 1/2 (neg.f64 x))) (/.f64 (*.f64 1/4 (-.f64 (/.f64 x (fma.f64 x 1/2 (neg.f64 x))) (/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) (pow.f64 (fma.f64 x 1/2 (neg.f64 x)) 2)))) (fma.f64 x 1/2 (neg.f64 x)))) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 x (fma.f64 x 1/2 (neg.f64 x))) (/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) (pow.f64 (fma.f64 x 1/2 (neg.f64 x)) 2))) y)) (/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) (fma.f64 x 1/2 (neg.f64 x))))))
(fma.f64 1/2 (*.f64 (/.f64 (pow.f64 y 3) (*.f64 -1/2 x)) (+.f64 (/.f64 1/4 (*.f64 -1/2 x)) (/.f64 (*.f64 -1/4 (-.f64 (/.f64 x (*.f64 -1/2 x)) (/.f64 (*.f64 x (*.f64 x -3/4)) (pow.f64 (*.f64 -1/2 x) 2)))) (*.f64 -1/2 x)))) (fma.f64 (*.f64 y y) (+.f64 (/.f64 1/4 (*.f64 -1/2 x)) (/.f64 (*.f64 -1/4 (-.f64 (/.f64 x (*.f64 -1/2 x)) (/.f64 (*.f64 x (*.f64 x -3/4)) (pow.f64 (*.f64 -1/2 x) 2)))) (*.f64 -1/2 x))) (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 x (*.f64 -1/2 x)) (/.f64 (*.f64 x (*.f64 x -3/4)) (pow.f64 (*.f64 -1/2 x) 2))) y) (*.f64 (/.f64 (*.f64 x x) (*.f64 -1/2 x)) -3/4))))
(*.f64 -1/2 y)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -1/2 y)) (*.f64 1/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(-.f64 (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/2 y) (*.f64 -2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) y)))) (+.f64 (*.f64 1/2 x) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 2 x) (*.f64 1/2 x)) (-.f64 (*.f64 1/2 x) x)) y))))
(-.f64 (fma.f64 2 x (fma.f64 -1/2 y (*.f64 -2 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)) y)))) (fma.f64 1/2 x (*.f64 -2 (/.f64 (*.f64 3/2 x) (/.f64 y (fma.f64 1/2 x (neg.f64 x)))))))
(+.f64 (+.f64 (fma.f64 -1/2 y (/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) (/.f64 y -2))) (*.f64 3/2 x)) (*.f64 2 (*.f64 (/.f64 (*.f64 3/2 x) y) (fma.f64 x 1/2 (neg.f64 x)))))
(-.f64 (fma.f64 -1/2 y (*.f64 3/2 x)) (/.f64 (fma.f64 (*.f64 -1/2 x) (*.f64 x -3) (*.f64 (*.f64 x -3/2) x)) y))
(-.f64 (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (-.f64 (*.f64 -2 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (*.f64 -2 (*.f64 (-.f64 (*.f64 1/2 x) x) (-.f64 (*.f64 2 x) (*.f64 1/2 x)))))) (pow.f64 y 2))) (*.f64 -2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) y))))) (+.f64 (*.f64 1/2 x) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 2 x) (*.f64 1/2 x)) (-.f64 (*.f64 1/2 x) x)) y))))
(-.f64 (fma.f64 2 x (fma.f64 -1/2 y (fma.f64 2 (/.f64 (fma.f64 1/2 x (neg.f64 x)) (/.f64 (*.f64 y y) (*.f64 -2 (-.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)) (*.f64 (*.f64 3/2 x) (fma.f64 1/2 x (neg.f64 x))))))) (*.f64 -2 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)) y))))) (fma.f64 1/2 x (*.f64 -2 (/.f64 (*.f64 3/2 x) (/.f64 y (fma.f64 1/2 x (neg.f64 x)))))))
(+.f64 (+.f64 (fma.f64 -1/2 y (fma.f64 2 (*.f64 (/.f64 (fma.f64 x 1/2 (neg.f64 x)) (*.f64 y y)) (*.f64 -2 (-.f64 (*.f64 x (*.f64 x 1/4)) (+.f64 (*.f64 x x) (*.f64 3/2 (*.f64 x (fma.f64 x 1/2 (neg.f64 x)))))))) (/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) (/.f64 y -2)))) (*.f64 3/2 x)) (*.f64 2 (*.f64 (/.f64 (*.f64 3/2 x) y) (fma.f64 x 1/2 (neg.f64 x)))))
(+.f64 (*.f64 3/2 x) (-.f64 (fma.f64 -1/2 y (/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 -1/2 x) (*.f64 x -3) (*.f64 (*.f64 x -3/2) x))) (neg.f64 x)) (*.f64 y y))) (/.f64 (fma.f64 (*.f64 -1/2 x) (*.f64 x -3) (*.f64 (*.f64 x -3/2) x)) y)))
(*.f64 -1/2 y)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -1/2 y)) (*.f64 1/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(-.f64 (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/2 y) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (*.f64 2 (*.f64 (-.f64 (*.f64 1/2 x) x) (-.f64 (*.f64 2 x) (*.f64 1/2 x))))) y)))) (*.f64 1/2 x))
(-.f64 (fma.f64 2 x (fma.f64 -1/2 y (*.f64 -2 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)) y)))) (fma.f64 1/2 x (*.f64 -2 (/.f64 (*.f64 3/2 x) (/.f64 y (fma.f64 1/2 x (neg.f64 x)))))))
(+.f64 (+.f64 (fma.f64 -1/2 y (/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) (/.f64 y -2))) (*.f64 3/2 x)) (*.f64 2 (*.f64 (/.f64 (*.f64 3/2 x) y) (fma.f64 x 1/2 (neg.f64 x)))))
(-.f64 (fma.f64 -1/2 y (*.f64 3/2 x)) (/.f64 (fma.f64 (*.f64 -1/2 x) (*.f64 x -3) (*.f64 (*.f64 x -3/2) x)) y))
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(*.f64 (*.f64 y y) 1/4)
(+.f64 (*.f64 -1/2 (*.f64 y x)) (*.f64 1/4 (pow.f64 y 2)))
(fma.f64 -1/2 (*.f64 y x) (*.f64 (*.f64 y y) 1/4))
(*.f64 y (+.f64 (*.f64 -1/2 x) (*.f64 1/4 y)))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2))))
(fma.f64 -1/2 (*.f64 y x) (*.f64 1/4 (+.f64 (*.f64 y y) (*.f64 x x))))
(fma.f64 -1/2 (*.f64 y x) (*.f64 1/4 (fma.f64 y y (*.f64 x x))))
(fma.f64 1/4 (fma.f64 y y (*.f64 x x)) (*.f64 -1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2))))
(fma.f64 -1/2 (*.f64 y x) (*.f64 1/4 (+.f64 (*.f64 y y) (*.f64 x x))))
(fma.f64 -1/2 (*.f64 y x) (*.f64 1/4 (fma.f64 y y (*.f64 x x))))
(fma.f64 1/4 (fma.f64 y y (*.f64 x x)) (*.f64 -1/2 (*.f64 y x)))

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(/.f64 2/3 x)
0.3b
(/.f64 1 (/.f64 2/3 x))
✓0.3b
(/.f64 1 (/.f64 2/3 x))
✓0.4b
(/.f64 2/3 x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

series3.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 2/3 x)
1.0ms
x
@-inf
(/.f64 1 (/.f64 2/3 x))
0.0ms
x
@inf
(/.f64 2/3 x)
0.0ms
x
@inf
(/.f64 1 (/.f64 2/3 x))
0.0ms
x
@-inf
(/.f64 2/3 x)

rewrite42.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
552×pow1_binary64
520×add-log-exp_binary64
520×log1p-expm1-u_binary64
520×expm1-log1p-u_binary64
510×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11298
215018
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(/.f64 2/3 x)
(/.f64 1 (/.f64 2/3 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 2/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2/3 x)) (pow.f64 (cbrt.f64 (/.f64 2/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2/3 x)) 2) (cbrt.f64 (/.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2/3 x)) (sqrt.f64 (/.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/3 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2/3 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 3/2)) (cbrt.f64 (*.f64 9/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 9/4 (*.f64 x x))) (cbrt.f64 (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 3/2)) (sqrt.f64 (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 2/3 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 2/3 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 2/3 x)) -1) (pow.f64 (sqrt.f64 (/.f64 2/3 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3/2 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3/2 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2/3 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 3/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 3/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 3/2)))))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0448
1548
Stop Event
1×saturated
Counts
58 → 46
Calls
Call 1
Inputs
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
Outputs
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)

localize4.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval176.0ms (2.7%)

Compiler

Compiled 9999 to 5321 computations (46.8% saved)

prune55.0ms (0.9%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New3944398
Fresh000
Picked011
Done145
Total3959404
Error
0b
Counts
404 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.7b
(*.f64 3/2 x)
✓31.8b
(/.f64 1 (/.f64 2/3 x))
▶31.8b
(/.f64 1 (*.f64 (/.f64 1 x) 2/3))
▶46.2b
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
▶46.1b
(/.f64 (*.f64 x (*.f64 x -3/4)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
✓0.1b
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
✓0b
(fma.f64 x 3/2 (*.f64 y -1/2))
▶30.8b
(/.f64 (-.f64 (*.f64 (*.f64 x 3/2) (*.f64 x 3/2)) (*.f64 1/4 (*.f64 y y))) (-.f64 (*.f64 x 3/2) (*.f64 y -1/2)))
✓31.7b
(*.f64 -1/2 y)
Compiler

Compiled 100 to 74 computations (26% saved)

localize26.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
3.4b
(-.f64 (*.f64 (*.f64 x 3/2) (*.f64 x 3/2)) (*.f64 1/4 (*.f64 y y)))
0.2b
(*.f64 (*.f64 x 3/2) (*.f64 x 3/2))
0.0b
(-.f64 (*.f64 x 3/2) (*.f64 y -1/2))
0.0b
(*.f64 1/4 (*.f64 y y))
✓0.0b
(-.f64 (*.f64 x 3/2) (*.f64 y -1/2))
✓0.2b
(*.f64 (*.f64 x 3/2) (*.f64 x 3/2))
✓3.4b
(-.f64 (*.f64 (*.f64 x 3/2) (*.f64 x 3/2)) (*.f64 1/4 (*.f64 y y)))
✓28.9b
(/.f64 (-.f64 (*.f64 (*.f64 x 3/2) (*.f64 x 3/2)) (*.f64 1/4 (*.f64 y y))) (-.f64 (*.f64 x 3/2) (*.f64 y -1/2)))
Compiler

Compiled 69 to 44 computations (36.2% saved)

series10.0ms (0.2%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
1.0ms
y
@0
(-.f64 (*.f64 (*.f64 x 3/2) (*.f64 x 3/2)) (*.f64 1/4 (*.f64 y y)))
1.0ms
x
@0
(/.f64 (-.f64 (*.f64 (*.f64 x 3/2) (*.f64 x 3/2)) (*.f64 1/4 (*.f64 y y))) (-.f64 (*.f64 x 3/2) (*.f64 y -1/2)))
1.0ms
y
@0
(/.f64 (-.f64 (*.f64 (*.f64 x 3/2) (*.f64 x 3/2)) (*.f64 1/4 (*.f64 y y))) (-.f64 (*.f64 x 3/2) (*.f64 y -1/2)))
1.0ms
y
@inf
(/.f64 (-.f64 (*.f64 (*.f64 x 3/2) (*.f64 x 3/2)) (*.f64 1/4 (*.f64 y y))) (-.f64 (*.f64 x 3/2) (*.f64 y -1/2)))
1.0ms
x
@inf
(/.f64 (-.f64 (*.f64 (*.f64 x 3/2) (*.f64 x 3/2)) (*.f64 1/4 (*.f64 y y))) (-.f64 (*.f64 x 3/2) (*.f64 y -1/2)))

rewrite123.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
777×log-prod_binary64
443×fma-neg_binary64
243×expm1-udef_binary64
243×log1p-udef_binary64
193×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01479
134234
2521334
Stop Event
1×node limit
Counts
4 → 430
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (*.f64 x 3/2) (*.f64 x 3/2)) (*.f64 1/4 (*.f64 y y))) (-.f64 (*.f64 x 3/2) (*.f64 y -1/2)))
(-.f64 (*.f64 (*.f64 x 3/2) (*.f64 x 3/2)) (*.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 x 3/2) (*.f64 x 3/2))
(-.f64 (*.f64 x 3/2) (*.f64 y -1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3/2) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3/2) (+.f64 (*.f64 y -1/2) (fma.f64 1/2 y (*.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 3/2 (*.f64 y -1/2)) (fma.f64 1/2 y (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 3/2 (*.f64 y -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y -1/2))) (cbrt.f64 (*.f64 y (*.f64 1/4 y))) (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 3/2 (*.f64 y -1/2)) (*.f64 (fma.f64 1/2 y (*.f64 y -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 3/2 (*.f64 y -1/2)) (+.f64 (fma.f64 1/2 y (*.f64 y -1/2)) (fma.f64 1/2 y (*.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 y (*.f64 y -1/2)) (fma.f64 x 3/2 (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/2) (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (/.f64 (fma.f64 x 3/2 (*.f64 y -1/2)) (*.f64 9/4 x))) (neg.f64 (*.f64 1/4 (/.f64 (*.f64 y y) (fma.f64 x 3/2 (*.f64 y -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 3/2 (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 3/2 (*.f64 y -1/2)))) (cbrt.f64 (exp.f64 (fma.f64 x 3/2 (*.f64 y -1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 3/2 (*.f64 y -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 3/2 (*.f64 y -1/2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 3/2 (*.f64 y -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 3/2) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 3/2) (-.f64 (*.f64 y -1/2) (fma.f64 1/2 y (*.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (fma.f64 x 3/2 (*.f64 y -1/2)) (*.f64 9/4 x))) (*.f64 1/4 (/.f64 (*.f64 y y) (fma.f64 x 3/2 (*.f64 y -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 3/2 (*.f64 y -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x 3/2) 3) (fma.f64 x (*.f64 9/4 x) (*.f64 (*.f64 y -1/2) (fma.f64 x 3/2 (*.f64 y -1/2))))) (/.f64 (*.f64 -1/8 (pow.f64 y 3)) (fma.f64 x (*.f64 9/4 x) (*.f64 (*.f64 y -1/2) (fma.f64 x 3/2 (*.f64 y -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 3/2 (*.f64 y -1/2)) 2) (/.f64 1 (fma.f64 x 3/2 (*.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 3/2 (*.f64 y -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 3/2 (*.f64 y -1/2)) (*.f64 (fma.f64 x 3/2 (*.f64 y -1/2)) (/.f64 1 (fma.f64 x 3/2 (*.f64 y -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 3/2 (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 3/2 (*.f64 y -1/2))) (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (*.f64 y -1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (*.f64 y -1/2)) 2)) (cbrt.f64 (fma.f64 x 3/2 (*.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x 3/2 (*.f64 y -1/2)) 2) 2)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (*.f64 y -1/2)) 2)) (/.f64 1 (fma.f64 x 3/2 (*.f64 y -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 3/2 (*.f64 y -1/2))) (sqrt.f64 (fma.f64 x 3/2 (*.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (fma.f64 x 3/2 (*.f64 y -1/2)) 2)) (/.f64 1 (neg.f64 (fma.f64 x 3/2 (*.f64 y -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x 3/2) 3) (*.f64 -1/8 (pow.f64 y 3))) (/.f64 1 (fma.f64 x (*.f64 9/4 x) (*.f64 (*.f64 y -1/2) (fma.f64 x 3/2 (*.f64 y -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 3/2 (*.f64 y -1/2))) (pow.f64 (fma.f64 x 3/2 (*.f64 y -1/2)) 2))))) 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(*.f64 y -1/2)))) (/.f64 (*.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (*.f64 y -1/2)))) (neg.f64 (*.f64 1/4 (/.f64 (*.f64 y y) (fma.f64 x 3/2 (*.f64 y -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 3/2 (*.f64 y -1/2)))) (/.f64 (*.f64 x (*.f64 9/4 x)) (sqrt.f64 (fma.f64 x 3/2 (*.f64 y -1/2)))) (neg.f64 (*.f64 1/4 (/.f64 (*.f64 y y) (fma.f64 x 3/2 (*.f64 y -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 3/2 (*.f64 y -1/2)))) (/.f64 9/4 (sqrt.f64 (fma.f64 x 3/2 (*.f64 y -1/2)))) (neg.f64 (*.f64 1/4 (/.f64 (*.f64 y y) (fma.f64 x 3/2 (*.f64 y -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x 3/2) 4)) (sqrt.f64 (fma.f64 x 3/2 (*.f64 y -1/2)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/2)) 2) (sqrt.f64 (fma.f64 x 3/2 (*.f64 y -1/2)))) (neg.f64 (*.f64 1/4 (/.f64 (*.f64 y y) (fma.f64 x 3/2 (*.f64 y -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x (*.f64 x 3/2)) (sqrt.f64 (fma.f64 x 3/2 (*.f64 y -1/2)))) (/.f64 3/2 (sqrt.f64 (fma.f64 x 3/2 (*.f64 y -1/2)))) (neg.f64 (*.f64 1/4 (/.f64 (*.f64 y y) (fma.f64 x 3/2 (*.f64 y -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x (*.f64 9/4 x)) (-.f64 (pow.f64 (*.f64 x 3/2) 3) (*.f64 -1/8 (pow.f64 y 3)))) (fma.f64 x (*.f64 9/4 x) (*.f64 (*.f64 y -1/2) (fma.f64 x 3/2 (*.f64 y -1/2)))) (neg.f64 (*.f64 1/4 (/.f64 (*.f64 y y) (fma.f64 x 3/2 (*.f64 y -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x (*.f64 9/4 x)) (pow.f64 (fma.f64 x 3/2 (*.f64 y -1/2)) 2)) (fma.f64 x 3/2 (*.f64 y -1/2)) (neg.f64 (*.f64 1/4 (/.f64 (*.f64 y y) (fma.f64 x 3/2 (*.f64 y -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 y -1/2) (fma.f64 1/2 y (*.f64 y -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/2 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 y -1/2) (fma.f64 1/2 y (*.f64 y -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3/2 (*.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3/2 (*.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 3/2 (*.f64 y -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3/2 (*.f64 y -1/2))))))))

simplify170.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1078×sqr-pow_binary64
745×fabs-mul_binary64
700×cube-prod_binary64
484×unswap-sqr_binary64
392×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019714
138714
263714
3119714
4286714
5825714
61232714
72041714
82218714
92460714
102770714
113221714
123813714
134522714
145400714
156090714
166546714
176986714
187146714
197216714
Stop Event
1×node limit
Counts
514 → 317
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 -1/4 (pow.f64 y 2))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(*.f64 9/4 (pow.f64 x 2))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(*.f64 9/4 (pow.f64 x 2))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(*.f64 9/4 (pow.f64 x 2))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(*.f64 -1/4 (pow.f64 y 2))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(*.f64 -1/4 (pow.f64 y 2))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 1/2 y)
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(*.f64 1/2 y)
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(*.f64 1/2 y)
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
Outputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 -1/4 (pow.f64 y 2))
(*.f64 -1/4 (*.f64 y y))
(*.f64 y (*.f64 y -1/4))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 9/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 9/4 (*.f64 x x)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 9/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 9/4 (*.f64 x x)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 9/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 9/4 (*.f64 x x)))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (*.f64 x x))
(*.f64 x (*.f64 x 9/4))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 9/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 9/4 (*.f64 x x)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 9/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 9/4 (*.f64 x x)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 9/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 9/4 (*.f64 x x)))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (*.f64 x x))
(*.f64 x (*.f64 x 9/4))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 9/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 9/4 (*.f64 x x)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 9/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 9/4 (*.f64 x x)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 9/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 9/4 (*.f64 x x)))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (*.f64 x x))
(*.f64 x (*.f64 x 9/4))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 9/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 9/4 (*.f64 x x)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 9/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 9/4 (*.f64 x x)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 9/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 9/4 (*.f64 x x)))
(*.f64 -1/4 (pow.f64 y 2))
(*.f64 -1/4 (*.f64 y y))
(*.f64 y (*.f64 y -1/4))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 9/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 9/4 (*.f64 x x)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 9/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 9/4 (*.f64 x x)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 9/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 9/4 (*.f64 x x)))
(*.f64 -1/4 (pow.f64 y 2))
(*.f64 -1/4 (*.f64 y y))
(*.f64 y (*.f64 y -1/4))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 9/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 9/4 (*.f64 x x)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 9/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 9/4 (*.f64 x x)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 9/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 y y) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 x (*.f64 x 9/4)))
(fma.f64 y (*.f64 y -1/4) (*.f64 9/4 (*.f64 x x)))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (*.f64 x x))
(*.f64 x (*.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (*.f64 x x))
(*.f64 x (*.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (*.f64 x x))
(*.f64 x (*.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (*.f64 x x))
(*.f64 x (*.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (*.f64 x x))
(*.f64 x (*.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (*.f64 x x))
(*.f64 x (*.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (*.f64 x x))
(*.f64 x (*.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (*.f64 x x))
(*.f64 x (*.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (*.f64 x x))
(*.f64 x (*.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (*.f64 x x))
(*.f64 x (*.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (*.f64 x x))
(*.f64 x (*.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (*.f64 x x))
(*.f64 x (*.f64 x 9/4))
(*.f64 1/2 y)
(*.f64 y 1/2)
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(fma.f64 1/2 y (*.f64 3/2 x))
(fma.f64 y 1/2 (*.f64 3/2 x))
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(fma.f64 1/2 y (*.f64 3/2 x))
(fma.f64 y 1/2 (*.f64 3/2 x))
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(fma.f64 1/2 y (*.f64 3/2 x))
(fma.f64 y 1/2 (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(fma.f64 1/2 y (*.f64 3/2 x))
(fma.f64 y 1/2 (*.f64 3/2 x))
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(fma.f64 1/2 y (*.f64 3/2 x))
(fma.f64 y 1/2 (*.f64 3/2 x))
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(fma.f64 1/2 y (*.f64 3/2 x))
(fma.f64 y 1/2 (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(fma.f64 1/2 y (*.f64 3/2 x))
(fma.f64 y 1/2 (*.f64 3/2 x))
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(fma.f64 1/2 y (*.f64 3/2 x))
(fma.f64 y 1/2 (*.f64 3/2 x))
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(fma.f64 1/2 y (*.f64 3/2 x))
(fma.f64 y 1/2 (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(fma.f64 1/2 y (*.f64 3/2 x))
(fma.f64 y 1/2 (*.f64 3/2 x))
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(fma.f64 1/2 y (*.f64 3/2 x))
(fma.f64 y 1/2 (*.f64 3/2 x))
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(fma.f64 1/2 y (*.f64 3/2 x))
(fma.f64 y 1/2 (*.f64 3/2 x))
(*.f64 1/2 y)
(*.f64 y 1/2)
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(fma.f64 1/2 y (*.f64 3/2 x))
(fma.f64 y 1/2 (*.f64 3/2 x))
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(fma.f64 1/2 y (*.f64 3/2 x))
(fma.f64 y 1/2 (*.f64 3/2 x))
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(fma.f64 1/2 y (*.f64 3/2 x))
(fma.f64 y 1/2 (*.f64 3/2 x))
(*.f64 1/2 y)
(*.f64 y 1/2)
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(fma.f64 1/2 y (*.f64 3/2 x))
(fma.f64 y 1/2 (*.f64 3/2 x))
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(fma.f64 1/2 y (*.f64 3/2 x))
(fma.f64 y 1/2 (*.f64 3/2 x))
(+.f64 (*.f64 1/2 y) (*.f64 3/2 x))
(fma.f64 1/2 y (*.f64 3/2 x))
(fma.f64 y 1/2 (*.f64 3/2 x))

localize17.0ms (0.3%)

Local error

Found 6 expressions with local error:

NewErrorProgram
18.4b
(/.f64 (*.f64 x (*.f64 x -3/4)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
0.1b
(*.f64 x (*.f64 x -3/4))
0.0b
(-.f64 (*.f64 (-.f64 x y) 1/2) x)
0.0b
(-.f64 (*.f64 (-.f64 x y) 1/2) x)
✓0.1b
(*.f64 x (*.f64 x -3/4))
✓18.4b
(/.f64 (*.f64 x (*.f64 x -3/4)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
Compiler

Compiled 42 to 22 computations (47.6% saved)

series6.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 x (*.f64 x -3/4))
1.0ms
y
@0
(/.f64 (*.f64 x (*.f64 x -3/4)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
1.0ms
x
@0
(/.f64 (*.f64 x (*.f64 x -3/4)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
1.0ms
y
@inf
(/.f64 (*.f64 x (*.f64 x -3/4)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
1.0ms
y
@-inf
(/.f64 (*.f64 x (*.f64 x -3/4)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))

rewrite65.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
957×prod-diff_binary64
688×log-prod_binary64
396×fma-def_binary64
232×expm1-udef_binary64
232×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01126
125226
2367126
Stop Event
1×node limit
Counts
2 → 70
Calls
Call 1
Inputs
(/.f64 (*.f64 x (*.f64 x -3/4)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
(*.f64 x (*.f64 x -3/4))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 x -3/4) (/.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x -3/4) (/.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x) x)))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 x -3/4) (/.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x) x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x -3/4) (/.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x -3/4) (/.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x -3/4) (/.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x -3/4) (/.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 -4/3 (/.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x -3/4) (/.f64 1 (-.f64 (*.f64 (-.f64 x y) 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -3/4) (*.f64 x (/.f64 1 (-.f64 (*.f64 (-.f64 x y) 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x -3/4)) (/.f64 1 (-.f64 (*.f64 (-.f64 x y) 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -3/4) (/.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 x -3/4) (/.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 -3/4 (/.f64 1 (-.f64 (*.f64 (-.f64 x y) 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x -3/4) (/.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x) x))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x -3/4) (/.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x -3/4) (/.f64 (-.f64 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(-.f64 (*.f64 (-.f64 x y) 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 x -3/4) (/.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 x -3/4) (/.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x -3/4) (/.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x -3/4) (/.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x -3/4)) 3) (pow.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 x -3/4) (/.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 x -3/4) (/.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x -3/4) (/.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 x -3/4) (/.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -3/4))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -3/4))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -3/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -3/4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -3/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -3/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -3/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x -3/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -3/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -3/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x -3/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -3/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -3/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x -3/4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x -3/4) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -3/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -3/4))))))))

simplify49.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
696×times-frac_binary64
532×distribute-rgt-in_binary64
525×distribute-lft-in_binary64
524×unswap-sqr_binary64
416×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
084891
1241891
2836817
34805738
Stop Event
1×node limit
Counts
106 → 101
Calls
Call 1
Inputs
(*.f64 3/2 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 3/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 3/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 2) y)) (*.f64 -3/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4))))))
(*.f64 3/2 x)
(+.f64 (*.f64 -3/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -3/2 y) (*.f64 3/2 x)))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -3/2 y) (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 3/2 x))))
(*.f64 3/2 x)
(+.f64 (*.f64 -3/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -3/2 y) (*.f64 3/2 x)))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -3/2 y) (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 3/2 x))))
(*.f64 -3/4 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x)))
(+.f64 (*.f64 -3/8 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 1/2 x) x) 2))) (*.f64 -3/4 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x))))
(+.f64 (*.f64 -3/8 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 1/2 x) x) 2))) (+.f64 (*.f64 -3/16 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 1/2 x) x) 3))) (*.f64 -3/4 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x)))))
(+.f64 (*.f64 -3/8 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 1/2 x) x) 2))) (+.f64 (*.f64 -3/16 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 1/2 x) x) 3))) (+.f64 (*.f64 -3/4 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x))) (*.f64 -3/32 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 1/2 x) x) 4))))))
(*.f64 3/2 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 3 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (pow.f64 x 2)) (pow.f64 y 2))) (*.f64 3/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 6 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 x) x) 2) (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 3 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (pow.f64 x 2)) (pow.f64 y 2))) (*.f64 3/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (*.f64 6 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 x) x) 2) (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 3 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 12 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 x) x) 3) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 3/2 (/.f64 (pow.f64 x 2) y)))))
(*.f64 3/2 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 3 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (pow.f64 x 2)) (pow.f64 y 2))) (*.f64 3/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 6 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 x) x) 2) (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 3 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (pow.f64 x 2)) (pow.f64 y 2))) (*.f64 3/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (*.f64 6 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 x) x) 2) (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 3 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 12 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 x) x) 3) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 3/2 (/.f64 (pow.f64 x 2) y)))))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 -3/4 (pow.f64 x 2))
Outputs
(*.f64 3/2 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 3/2 (*.f64 x x)) y)
(*.f64 3/2 (/.f64 x (/.f64 y x)))
(*.f64 3/2 (*.f64 (/.f64 x y) x))
(+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 3/2 (/.f64 (pow.f64 x 2) y)))
(fma.f64 -3/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (/.f64 (*.f64 3/2 (*.f64 x x)) y))
(fma.f64 3/2 (/.f64 x (/.f64 y x)) (*.f64 -3/2 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(*.f64 (*.f64 (/.f64 x y) x) (+.f64 (/.f64 (*.f64 x -3/2) y) 3/2))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 3/2 (/.f64 (pow.f64 x 2) y))))
(fma.f64 3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -3/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (/.f64 (*.f64 3/2 (*.f64 x x)) y)))
(fma.f64 3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 3/2 (/.f64 x (/.f64 y x)) (*.f64 -3/2 (/.f64 (pow.f64 x 3) (*.f64 y y)))))
(fma.f64 -3/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 3/2 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (/.f64 x (/.f64 y x)))))
(fma.f64 3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 (*.f64 (/.f64 x y) x) (+.f64 (/.f64 (*.f64 x -3/2) y) 3/2)))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 2) y)) (*.f64 -3/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4))))))
(fma.f64 3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -3/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 3/2 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -3/2 (pow.f64 x 5)) (pow.f64 y 4)))))
(fma.f64 3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -3/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 3/2 (/.f64 x (/.f64 y x)) (*.f64 -3/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4))))))
(fma.f64 3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 3/2 (/.f64 x (/.f64 y x)) (*.f64 -3/2 (+.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (/.f64 (pow.f64 x 3) (*.f64 y y))))))
(fma.f64 3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -3/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 (*.f64 (/.f64 x y) x) (+.f64 (/.f64 (*.f64 x -3/2) y) 3/2))))
(*.f64 3/2 x)
(+.f64 (*.f64 -3/2 y) (*.f64 3/2 x))
(fma.f64 -3/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y -3/2))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -3/2 y) (*.f64 3/2 x)))
(fma.f64 3/2 (/.f64 (*.f64 y y) x) (fma.f64 -3/2 y (*.f64 3/2 x)))
(fma.f64 3/2 (/.f64 y (/.f64 x y)) (fma.f64 3/2 x (*.f64 y -3/2)))
(fma.f64 y -3/2 (*.f64 3/2 (+.f64 (*.f64 (/.f64 y x) y) x)))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -3/2 y) (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 3/2 x))))
(fma.f64 3/2 (/.f64 (*.f64 y y) x) (fma.f64 -3/2 y (fma.f64 -3/2 (/.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 3/2 x))))
(fma.f64 3/2 (/.f64 y (/.f64 x y)) (fma.f64 y -3/2 (fma.f64 3/2 x (*.f64 -3/2 (/.f64 (pow.f64 y 3) (*.f64 x x))))))
(fma.f64 -3/2 (+.f64 y (/.f64 (pow.f64 y 3) (*.f64 x x))) (*.f64 3/2 (+.f64 (*.f64 (/.f64 y x) y) x)))
(+.f64 (fma.f64 3/2 x (*.f64 y -3/2)) (*.f64 (*.f64 (/.f64 y x) y) (+.f64 (*.f64 -3/2 (/.f64 y x)) 3/2)))
(*.f64 3/2 x)
(+.f64 (*.f64 -3/2 y) (*.f64 3/2 x))
(fma.f64 -3/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y -3/2))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -3/2 y) (*.f64 3/2 x)))
(fma.f64 3/2 (/.f64 (*.f64 y y) x) (fma.f64 -3/2 y (*.f64 3/2 x)))
(fma.f64 3/2 (/.f64 y (/.f64 x y)) (fma.f64 3/2 x (*.f64 y -3/2)))
(fma.f64 y -3/2 (*.f64 3/2 (+.f64 (*.f64 (/.f64 y x) y) x)))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -3/2 y) (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 3/2 x))))
(fma.f64 3/2 (/.f64 (*.f64 y y) x) (fma.f64 -3/2 y (fma.f64 -3/2 (/.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 3/2 x))))
(fma.f64 3/2 (/.f64 y (/.f64 x y)) (fma.f64 y -3/2 (fma.f64 3/2 x (*.f64 -3/2 (/.f64 (pow.f64 y 3) (*.f64 x x))))))
(fma.f64 -3/2 (+.f64 y (/.f64 (pow.f64 y 3) (*.f64 x x))) (*.f64 3/2 (+.f64 (*.f64 (/.f64 y x) y) x)))
(+.f64 (fma.f64 3/2 x (*.f64 y -3/2)) (*.f64 (*.f64 (/.f64 y x) y) (+.f64 (*.f64 -3/2 (/.f64 y x)) 3/2)))
(*.f64 -3/4 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x)))
(*.f64 -3/4 (/.f64 (*.f64 x x) (fma.f64 1/2 x (neg.f64 x))))
(*.f64 -3/4 (/.f64 (*.f64 x x) (-.f64 (*.f64 x 1/2) x)))
(*.f64 (/.f64 -3/4 (*.f64 x -1/2)) (*.f64 x x))
(/.f64 (*.f64 x x) (/.f64 (*.f64 x -1/2) -3/4))
(+.f64 (*.f64 -3/8 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 1/2 x) x) 2))) (*.f64 -3/4 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x))))
(fma.f64 -3/8 (/.f64 (*.f64 (*.f64 x x) y) (pow.f64 (fma.f64 1/2 x (neg.f64 x)) 2)) (*.f64 -3/4 (/.f64 (*.f64 x x) (fma.f64 1/2 x (neg.f64 x)))))
(fma.f64 -3/4 (/.f64 (*.f64 x x) (-.f64 (*.f64 x 1/2) x)) (*.f64 -3/8 (/.f64 (*.f64 (*.f64 y x) x) (pow.f64 (-.f64 (*.f64 x 1/2) x) 2))))
(fma.f64 -3/4 (*.f64 (/.f64 x (*.f64 x -1/2)) x) (*.f64 -3/8 (*.f64 (*.f64 x x) (/.f64 y (pow.f64 (*.f64 x -1/2) 2)))))
(*.f64 (/.f64 (*.f64 x x) (*.f64 x -1/2)) (+.f64 (*.f64 (/.f64 y (*.f64 x -1/2)) -3/8) -3/4))
(+.f64 (*.f64 -3/8 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 1/2 x) x) 2))) (+.f64 (*.f64 -3/16 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 1/2 x) x) 3))) (*.f64 -3/4 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x)))))
(fma.f64 -3/8 (/.f64 (*.f64 (*.f64 x x) y) (pow.f64 (fma.f64 1/2 x (neg.f64 x)) 2)) (fma.f64 -3/16 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (fma.f64 1/2 x (neg.f64 x)) 3) (*.f64 x x))) (*.f64 -3/4 (/.f64 (*.f64 x x) (fma.f64 1/2 x (neg.f64 x))))))
(fma.f64 -3/8 (/.f64 (*.f64 (*.f64 y x) x) (pow.f64 (-.f64 (*.f64 x 1/2) x) 2)) (fma.f64 -3/4 (/.f64 (*.f64 x x) (-.f64 (*.f64 x 1/2) x)) (*.f64 -3/16 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (-.f64 (*.f64 x 1/2) x) 3) (*.f64 x x))))))
(fma.f64 -3/4 (*.f64 (/.f64 x (*.f64 x -1/2)) x) (fma.f64 -3/8 (*.f64 (*.f64 x x) (/.f64 y (pow.f64 (*.f64 x -1/2) 2))) (*.f64 -3/16 (/.f64 y (/.f64 (/.f64 (pow.f64 (*.f64 x -1/2) 3) x) (*.f64 x y))))))
(fma.f64 -3/16 (*.f64 (/.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/8)) (*.f64 y y)) (*.f64 (/.f64 (*.f64 x x) (*.f64 x -1/2)) (+.f64 (*.f64 (/.f64 y (*.f64 x -1/2)) -3/8) -3/4)))
(+.f64 (*.f64 -3/8 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 1/2 x) x) 2))) (+.f64 (*.f64 -3/16 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 1/2 x) x) 3))) (+.f64 (*.f64 -3/4 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x))) (*.f64 -3/32 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 1/2 x) x) 4))))))
(fma.f64 -3/8 (/.f64 (*.f64 (*.f64 x x) y) (pow.f64 (fma.f64 1/2 x (neg.f64 x)) 2)) (fma.f64 -3/16 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (fma.f64 1/2 x (neg.f64 x)) 3) (*.f64 x x))) (fma.f64 -3/4 (/.f64 (*.f64 x x) (fma.f64 1/2 x (neg.f64 x))) (*.f64 -3/32 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (fma.f64 1/2 x (neg.f64 x)) 4) (*.f64 x x)))))))
(fma.f64 -3/8 (/.f64 (*.f64 (*.f64 y x) x) (pow.f64 (-.f64 (*.f64 x 1/2) x) 2)) (fma.f64 -3/16 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (-.f64 (*.f64 x 1/2) x) 3) (*.f64 x x))) (fma.f64 -3/4 (/.f64 (*.f64 x x) (-.f64 (*.f64 x 1/2) x)) (*.f64 -3/32 (/.f64 (*.f64 x (*.f64 x (pow.f64 y 3))) (pow.f64 (-.f64 (*.f64 x 1/2) x) 4))))))
(fma.f64 -3/8 (*.f64 (*.f64 x x) (/.f64 y (pow.f64 (*.f64 x -1/2) 2))) (fma.f64 -3/4 (*.f64 (/.f64 x (*.f64 x -1/2)) x) (fma.f64 -3/16 (/.f64 y (/.f64 (/.f64 (pow.f64 (*.f64 x -1/2) 3) x) (*.f64 x y))) (*.f64 -3/32 (*.f64 (/.f64 (*.f64 x x) (pow.f64 (*.f64 x -1/2) 4)) (pow.f64 y 3))))))
(+.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 x -1/2)) (+.f64 (*.f64 (/.f64 y (*.f64 x -1/2)) -3/8) -3/4)) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) -3/32) (pow.f64 (*.f64 x -1/2) 4)) (/.f64 (*.f64 y (*.f64 y -3/16)) (*.f64 (pow.f64 x 3) -1/8)))))
(*.f64 3/2 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 3/2 (*.f64 x x)) y)
(*.f64 3/2 (/.f64 x (/.f64 y x)))
(*.f64 3/2 (*.f64 (/.f64 x y) x))
(+.f64 (*.f64 3 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (pow.f64 x 2)) (pow.f64 y 2))) (*.f64 3/2 (/.f64 (pow.f64 x 2) y)))
(fma.f64 3 (/.f64 (fma.f64 1/2 x (neg.f64 x)) (/.f64 (*.f64 y y) (*.f64 x x))) (/.f64 (*.f64 3/2 (*.f64 x x)) y))
(fma.f64 3/2 (/.f64 x (/.f64 y x)) (*.f64 3 (/.f64 (-.f64 (*.f64 x 1/2) x) (*.f64 (/.f64 y x) (/.f64 y x)))))
(fma.f64 3/2 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 (*.f64 x -1/2) y) 3)))
(*.f64 (*.f64 (/.f64 x y) x) (+.f64 3/2 (/.f64 (*.f64 3 (*.f64 x -1/2)) y)))
(+.f64 (*.f64 6 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 x) x) 2) (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 3 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (pow.f64 x 2)) (pow.f64 y 2))) (*.f64 3/2 (/.f64 (pow.f64 x 2) y))))
(fma.f64 6 (/.f64 (pow.f64 (fma.f64 1/2 x (neg.f64 x)) 2) (/.f64 (pow.f64 y 3) (*.f64 x x))) (fma.f64 3 (/.f64 (fma.f64 1/2 x (neg.f64 x)) (/.f64 (*.f64 y y) (*.f64 x x))) (/.f64 (*.f64 3/2 (*.f64 x x)) y)))
(fma.f64 6 (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x 1/2) x) 2) (pow.f64 y 3)) (*.f64 x x)) (fma.f64 3/2 (/.f64 x (/.f64 y x)) (*.f64 3 (/.f64 (-.f64 (*.f64 x 1/2) x) (*.f64 (/.f64 y x) (/.f64 y x))))))
(fma.f64 3/2 (/.f64 x (/.f64 y x)) (fma.f64 6 (*.f64 (*.f64 x x) (/.f64 (pow.f64 (*.f64 x -1/2) 2) (pow.f64 y 3))) (*.f64 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 (*.f64 x -1/2) y) 3))))
(fma.f64 6 (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 y 3))) (*.f64 (*.f64 (/.f64 x y) x) (+.f64 3/2 (/.f64 (*.f64 3 (*.f64 x -1/2)) y))))
(+.f64 (*.f64 6 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 x) x) 2) (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 3 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 12 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 x) x) 3) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 3/2 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 6 (/.f64 (pow.f64 (fma.f64 1/2 x (neg.f64 x)) 2) (/.f64 (pow.f64 y 3) (*.f64 x x))) (fma.f64 3 (/.f64 (fma.f64 1/2 x (neg.f64 x)) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 12 (/.f64 (pow.f64 (fma.f64 1/2 x (neg.f64 x)) 3) (/.f64 (pow.f64 y 4) (*.f64 x x))) (/.f64 (*.f64 3/2 (*.f64 x x)) y))))
(fma.f64 6 (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x 1/2) x) 2) (pow.f64 y 3)) (*.f64 x x)) (fma.f64 3 (/.f64 (-.f64 (*.f64 x 1/2) x) (*.f64 (/.f64 y x) (/.f64 y x))) (fma.f64 3/2 (/.f64 x (/.f64 y x)) (*.f64 12 (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x 1/2) x) 3) (pow.f64 y 4)) (*.f64 x x))))))
(fma.f64 3 (*.f64 (*.f64 x x) (/.f64 (/.f64 (*.f64 x -1/2) y) y)) (fma.f64 6 (*.f64 (*.f64 x x) (/.f64 (pow.f64 (*.f64 x -1/2) 2) (pow.f64 y 3))) (fma.f64 3/2 (/.f64 x (/.f64 y x)) (*.f64 12 (*.f64 (*.f64 x x) (/.f64 (pow.f64 (*.f64 x -1/2) 3) (pow.f64 y 4)))))))
(+.f64 (*.f64 (*.f64 (/.f64 x y) x) (+.f64 3/2 (/.f64 (*.f64 3 (*.f64 x -1/2)) y))) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) 1/4) 6) (pow.f64 y 3)) (*.f64 12 (/.f64 (*.f64 (pow.f64 x 3) -1/8) (pow.f64 y 4))))))
(*.f64 3/2 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 3/2 (*.f64 x x)) y)
(*.f64 3/2 (/.f64 x (/.f64 y x)))
(*.f64 3/2 (*.f64 (/.f64 x y) x))
(+.f64 (*.f64 3 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (pow.f64 x 2)) (pow.f64 y 2))) (*.f64 3/2 (/.f64 (pow.f64 x 2) y)))
(fma.f64 3 (/.f64 (fma.f64 1/2 x (neg.f64 x)) (/.f64 (*.f64 y y) (*.f64 x x))) (/.f64 (*.f64 3/2 (*.f64 x x)) y))
(fma.f64 3/2 (/.f64 x (/.f64 y x)) (*.f64 3 (/.f64 (-.f64 (*.f64 x 1/2) x) (*.f64 (/.f64 y x) (/.f64 y x)))))
(fma.f64 3/2 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 (*.f64 x -1/2) y) 3)))
(*.f64 (*.f64 (/.f64 x y) x) (+.f64 3/2 (/.f64 (*.f64 3 (*.f64 x -1/2)) y)))
(+.f64 (*.f64 6 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 x) x) 2) (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 3 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (pow.f64 x 2)) (pow.f64 y 2))) (*.f64 3/2 (/.f64 (pow.f64 x 2) y))))
(fma.f64 6 (/.f64 (pow.f64 (fma.f64 1/2 x (neg.f64 x)) 2) (/.f64 (pow.f64 y 3) (*.f64 x x))) (fma.f64 3 (/.f64 (fma.f64 1/2 x (neg.f64 x)) (/.f64 (*.f64 y y) (*.f64 x x))) (/.f64 (*.f64 3/2 (*.f64 x x)) y)))
(fma.f64 6 (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x 1/2) x) 2) (pow.f64 y 3)) (*.f64 x x)) (fma.f64 3/2 (/.f64 x (/.f64 y x)) (*.f64 3 (/.f64 (-.f64 (*.f64 x 1/2) x) (*.f64 (/.f64 y x) (/.f64 y x))))))
(fma.f64 3/2 (/.f64 x (/.f64 y x)) (fma.f64 6 (*.f64 (*.f64 x x) (/.f64 (pow.f64 (*.f64 x -1/2) 2) (pow.f64 y 3))) (*.f64 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 (*.f64 x -1/2) y) 3))))
(fma.f64 6 (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 y 3))) (*.f64 (*.f64 (/.f64 x y) x) (+.f64 3/2 (/.f64 (*.f64 3 (*.f64 x -1/2)) y))))
(+.f64 (*.f64 6 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 x) x) 2) (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 3 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 12 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 x) x) 3) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 3/2 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 6 (/.f64 (pow.f64 (fma.f64 1/2 x (neg.f64 x)) 2) (/.f64 (pow.f64 y 3) (*.f64 x x))) (fma.f64 3 (/.f64 (fma.f64 1/2 x (neg.f64 x)) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 12 (/.f64 (pow.f64 (fma.f64 1/2 x (neg.f64 x)) 3) (/.f64 (pow.f64 y 4) (*.f64 x x))) (/.f64 (*.f64 3/2 (*.f64 x x)) y))))
(fma.f64 6 (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x 1/2) x) 2) (pow.f64 y 3)) (*.f64 x x)) (fma.f64 3 (/.f64 (-.f64 (*.f64 x 1/2) x) (*.f64 (/.f64 y x) (/.f64 y x))) (fma.f64 3/2 (/.f64 x (/.f64 y x)) (*.f64 12 (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x 1/2) x) 3) (pow.f64 y 4)) (*.f64 x x))))))
(fma.f64 3 (*.f64 (*.f64 x x) (/.f64 (/.f64 (*.f64 x -1/2) y) y)) (fma.f64 6 (*.f64 (*.f64 x x) (/.f64 (pow.f64 (*.f64 x -1/2) 2) (pow.f64 y 3))) (fma.f64 3/2 (/.f64 x (/.f64 y x)) (*.f64 12 (*.f64 (*.f64 x x) (/.f64 (pow.f64 (*.f64 x -1/2) 3) (pow.f64 y 4)))))))
(+.f64 (*.f64 (*.f64 (/.f64 x y) x) (+.f64 3/2 (/.f64 (*.f64 3 (*.f64 x -1/2)) y))) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) 1/4) 6) (pow.f64 y 3)) (*.f64 12 (/.f64 (*.f64 (pow.f64 x 3) -1/8) (pow.f64 y 4))))))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -3/4)
(*.f64 x (*.f64 x -3/4))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -3/4)
(*.f64 x (*.f64 x -3/4))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -3/4)
(*.f64 x (*.f64 x -3/4))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -3/4)
(*.f64 x (*.f64 x -3/4))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -3/4)
(*.f64 x (*.f64 x -3/4))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -3/4)
(*.f64 x (*.f64 x -3/4))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -3/4)
(*.f64 x (*.f64 x -3/4))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -3/4)
(*.f64 x (*.f64 x -3/4))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -3/4)
(*.f64 x (*.f64 x -3/4))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -3/4)
(*.f64 x (*.f64 x -3/4))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -3/4)
(*.f64 x (*.f64 x -3/4))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -3/4)
(*.f64 x (*.f64 x -3/4))

localize21.0ms (0.3%)

Local error

Found 6 expressions with local error:

NewErrorProgram
18.4b
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
14.2b
(-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x))
0.0b
(-.f64 (*.f64 (-.f64 x y) 1/2) x)
0.0b
(-.f64 (*.f64 (-.f64 x y) 1/2) x)
✓14.2b
(-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x))
✓18.4b
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
Compiler

Compiled 58 to 28 computations (51.7% saved)

series9.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
2.0ms
y
@-inf
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
1.0ms
y
@0
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
1.0ms
x
@0
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
0.0ms
x
@inf
(-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x))

rewrite84.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
834×log-prod_binary64
493×fma-neg_binary64
278×expm1-udef_binary64
278×log1p-udef_binary64
220×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01332
131026
2474626
Stop Event
1×node limit
Counts
2 → 167
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
(-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (/.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x) (*.f64 x 1/4))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 x y) 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 x (*.f64 x -3/4)) (-.f64 (*.f64 (-.f64 x y) 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 x -3/4)) (-.f64 (*.f64 (-.f64 x y) 1/2) x)))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 x -3/4)) (-.f64 (*.f64 (-.f64 x y) 1/2) x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 x -3/4)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 x -3/4)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 x -3/4)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (-.f64 (*.f64 (-.f64 x y) 1/2) x) (*.f64 x 1/4))) (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 x y) 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x (*.f64 x -3/4)) (-.f64 (*.f64 (-.f64 x y) 1/2) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x -3/4) (/.f64 1 (-.f64 (*.f64 (-.f64 x y) 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x -3/4)) (/.f64 1 (-.f64 (*.f64 (-.f64 x y) 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x -3/4)) (-.f64 (*.f64 (-.f64 x y) 1/2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 x (*.f64 x -3/4)) (-.f64 (*.f64 (-.f64 x y) 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x (*.f64 x -3/4)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x -3/4)) (-.f64 (*.f64 (-.f64 x y) 1/2) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x -3/4)) (-.f64 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simplify55.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
683×associate-/l/_binary64
493×times-frac_binary64
349×associate-/l*_binary64
292×fma-def_binary64
265×distribute-rgt-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0911158
12641137
2907893
34798785
Stop Event
1×node limit
Counts
203 → 198
Calls
Call 1
Inputs
(*.f64 3/2 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 3/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 3/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 2) y)) (*.f64 -3/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4))))))
(*.f64 3/2 x)
(+.f64 (*.f64 -3/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -3/2 y) (*.f64 3/2 x)))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -3/2 y) (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 3/2 x))))
(*.f64 3/2 x)
(+.f64 (*.f64 -3/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -3/2 y) (*.f64 3/2 x)))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -3/2 y) (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 3/2 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) (-.f64 (*.f64 1/2 x) x))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x))) (*.f64 1/2 (/.f64 (*.f64 y (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 (-.f64 (*.f64 1/2 x) x) 2)))) (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 y (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 (-.f64 (*.f64 1/2 x) x) 2))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 (-.f64 (*.f64 1/2 x) x) 3))))) (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 y (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 (-.f64 (*.f64 1/2 x) x) 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 (-.f64 (*.f64 1/2 x) x) 3))) (*.f64 1/8 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 (-.f64 (*.f64 1/2 x) x) 4)))))) (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x)))
(*.f64 -2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) y))
(+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) y)) (*.f64 -4 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 y 2))))
(+.f64 (*.f64 -8 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 x) x) 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 y 3))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) y)) (*.f64 -4 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 y 2)))))
(+.f64 (*.f64 -16 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 x) x) 3) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 y 4))) (+.f64 (*.f64 -8 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 x) x) 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 y 3))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) y)) (*.f64 -4 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 y 2))))))
(*.f64 -2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) y))
(+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) y)) (*.f64 -4 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 y 2))))
(+.f64 (*.f64 -8 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 x) x) 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 y 3))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) y)) (*.f64 -4 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 y 2)))))
(+.f64 (*.f64 -16 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 x) x) 3) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 y 4))) (+.f64 (*.f64 -8 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 x) x) 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 y 3))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) y)) (*.f64 -4 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 y 2))))))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 -3/4 (pow.f64 x 2))
Outputs
(*.f64 3/2 (/.f64 (pow.f64 x 2) y))
(*.f64 3/2 (/.f64 (*.f64 x x) y))
(*.f64 3/2 (/.f64 x (/.f64 y x)))
(*.f64 3/2 (*.f64 (/.f64 x y) x))
(+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 3/2 (/.f64 (pow.f64 x 2) y)))
(fma.f64 -3/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 3/2 (/.f64 (*.f64 x x) y)))
(fma.f64 3/2 (/.f64 x (/.f64 y x)) (*.f64 -3/2 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(fma.f64 3/2 (*.f64 (/.f64 x y) x) (*.f64 -3/2 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(*.f64 (*.f64 (/.f64 x y) x) (+.f64 3/2 (/.f64 (*.f64 x -3/2) y)))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 3/2 (/.f64 (pow.f64 x 2) y))))
(fma.f64 3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -3/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 3/2 (/.f64 (*.f64 x x) y))))
(fma.f64 3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 3/2 (/.f64 x (/.f64 y x)) (*.f64 -3/2 (/.f64 (pow.f64 x 3) (*.f64 y y)))))
(fma.f64 -3/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 3/2 (+.f64 (*.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(fma.f64 3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 (*.f64 (/.f64 x y) x) (+.f64 3/2 (/.f64 (*.f64 x -3/2) y))))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 2) y)) (*.f64 -3/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4))))))
(fma.f64 3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -3/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 3/2 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -3/2 (pow.f64 x 5)) (pow.f64 y 4)))))
(fma.f64 3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -3/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 3/2 (/.f64 x (/.f64 y x)) (*.f64 -3/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4))))))
(fma.f64 3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 3/2 (*.f64 (/.f64 x y) x) (*.f64 -3/2 (+.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (/.f64 (pow.f64 x 3) (*.f64 y y))))))
(fma.f64 3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -3/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 (*.f64 (/.f64 x y) x) (+.f64 3/2 (/.f64 (*.f64 x -3/2) y)))))
(*.f64 3/2 x)
(+.f64 (*.f64 -3/2 y) (*.f64 3/2 x))
(fma.f64 -3/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y -3/2))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -3/2 y) (*.f64 3/2 x)))
(fma.f64 3/2 (/.f64 (*.f64 y y) x) (fma.f64 -3/2 y (*.f64 3/2 x)))
(fma.f64 3/2 (/.f64 (*.f64 y y) x) (fma.f64 3/2 x (*.f64 y -3/2)))
(fma.f64 y -3/2 (*.f64 3/2 (+.f64 (*.f64 (/.f64 y x) y) x)))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -3/2 y) (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 3/2 x))))
(fma.f64 3/2 (/.f64 (*.f64 y y) x) (fma.f64 -3/2 y (fma.f64 -3/2 (/.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 3/2 x))))
(fma.f64 3/2 (/.f64 (*.f64 y y) x) (fma.f64 y -3/2 (fma.f64 3/2 x (*.f64 -3/2 (/.f64 (pow.f64 y 3) (*.f64 x x))))))
(fma.f64 -3/2 (+.f64 y (/.f64 (pow.f64 y 3) (*.f64 x x))) (*.f64 3/2 (+.f64 (*.f64 (/.f64 y x) y) x)))
(+.f64 (fma.f64 3/2 x (*.f64 y -3/2)) (*.f64 (*.f64 (/.f64 y x) y) (+.f64 (/.f64 (*.f64 y -3/2) x) 3/2)))
(*.f64 3/2 x)
(+.f64 (*.f64 -3/2 y) (*.f64 3/2 x))
(fma.f64 -3/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y -3/2))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -3/2 y) (*.f64 3/2 x)))
(fma.f64 3/2 (/.f64 (*.f64 y y) x) (fma.f64 -3/2 y (*.f64 3/2 x)))
(fma.f64 3/2 (/.f64 (*.f64 y y) x) (fma.f64 3/2 x (*.f64 y -3/2)))
(fma.f64 y -3/2 (*.f64 3/2 (+.f64 (*.f64 (/.f64 y x) y) x)))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -3/2 y) (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 3/2 x))))
(fma.f64 3/2 (/.f64 (*.f64 y y) x) (fma.f64 -3/2 y (fma.f64 -3/2 (/.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 3/2 x))))
(fma.f64 3/2 (/.f64 (*.f64 y y) x) (fma.f64 y -3/2 (fma.f64 3/2 x (*.f64 -3/2 (/.f64 (pow.f64 y 3) (*.f64 x x))))))
(fma.f64 -3/2 (+.f64 y (/.f64 (pow.f64 y 3) (*.f64 x x))) (*.f64 3/2 (+.f64 (*.f64 (/.f64 y x) y) x)))
(+.f64 (fma.f64 3/2 x (*.f64 y -3/2)) (*.f64 (*.f64 (/.f64 y x) y) (+.f64 (/.f64 (*.f64 y -3/2) x) 3/2)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) (-.f64 (*.f64 1/2 x) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)) (-.f64 (*.f64 x 1/2) x))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) (-.f64 (*.f64 x 1/2) x))
(/.f64 (*.f64 x (*.f64 x -3/4)) (*.f64 x -1/2))
(*.f64 (/.f64 x (/.f64 (*.f64 x -1/2) x)) -3/4)
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x))) (*.f64 1/2 (/.f64 (*.f64 y (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 (-.f64 (*.f64 1/2 x) x) 2)))) (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x)))
(-.f64 (fma.f64 1/4 (/.f64 (*.f64 x x) (-.f64 (*.f64 x 1/2) x)) (/.f64 (*.f64 1/2 (*.f64 y (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)))) (pow.f64 (-.f64 (*.f64 x 1/2) x) 2))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x 1/2) x)))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 y (pow.f64 (-.f64 (*.f64 x 1/2) x) 2)) (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)))) (/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) (-.f64 (*.f64 x 1/2) x)))
(fma.f64 1/2 (/.f64 y (/.f64 (pow.f64 (*.f64 x -1/2) 2) (*.f64 x (*.f64 x -3/4)))) (/.f64 (*.f64 x (*.f64 x -3/4)) (*.f64 x -1/2)))
(*.f64 (+.f64 (/.f64 (*.f64 y 1/2) (*.f64 x -1/2)) 1) (*.f64 (/.f64 x (/.f64 (*.f64 x -1/2) x)) -3/4))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 y (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 (-.f64 (*.f64 1/2 x) x) 2))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 (-.f64 (*.f64 1/2 x) x) 3))))) (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x)))
(-.f64 (fma.f64 1/4 (/.f64 (*.f64 x x) (-.f64 (*.f64 x 1/2) x)) (fma.f64 1/2 (/.f64 y (/.f64 (pow.f64 (-.f64 (*.f64 x 1/2) x) 2) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)))) (*.f64 1/4 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (-.f64 (*.f64 x 1/2) x) 3) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x))))))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x 1/2) x)))
(+.f64 (fma.f64 1/4 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 (*.f64 x 1/2) x) 3)) (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x))) (*.f64 1/2 (*.f64 (/.f64 y (pow.f64 (-.f64 (*.f64 x 1/2) x) 2)) (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x))))) (/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) (-.f64 (*.f64 x 1/2) x)))
(+.f64 (*.f64 1/4 (*.f64 (/.f64 (*.f64 x (*.f64 x -3/4)) (pow.f64 (*.f64 x -1/2) 3)) (*.f64 y y))) (fma.f64 1/2 (/.f64 y (/.f64 (pow.f64 (*.f64 x -1/2) 2) (*.f64 x (*.f64 x -3/4)))) (/.f64 (*.f64 x (*.f64 x -3/4)) (*.f64 x -1/2))))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) -3/4) (/.f64 (pow.f64 (*.f64 x -1/2) 3) y))) (*.f64 (+.f64 (/.f64 (*.f64 y 1/2) (*.f64 x -1/2)) 1) (*.f64 (/.f64 x (/.f64 (*.f64 x -1/2) x)) -3/4)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 y (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 (-.f64 (*.f64 1/2 x) x) 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 (-.f64 (*.f64 1/2 x) x) 3))) (*.f64 1/8 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 (-.f64 (*.f64 1/2 x) x) 4)))))) (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) x)))
(-.f64 (fma.f64 1/4 (/.f64 (*.f64 x x) (-.f64 (*.f64 x 1/2) x)) (fma.f64 1/2 (/.f64 y (/.f64 (pow.f64 (-.f64 (*.f64 x 1/2) x) 2) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)))) (fma.f64 1/4 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (-.f64 (*.f64 x 1/2) x) 3) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)))) (*.f64 1/8 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (-.f64 (*.f64 x 1/2) x) 4) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)))))))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x 1/2) x)))
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 y (pow.f64 (-.f64 (*.f64 x 1/2) x) 2)) (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x))) (fma.f64 1/4 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 (*.f64 x 1/2) x) 3)) (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x))) (*.f64 1/8 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 (*.f64 x 1/2) x) 4)) (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)))))) (/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) (-.f64 (*.f64 x 1/2) x)))
(+.f64 (fma.f64 1/4 (*.f64 (/.f64 (*.f64 x (*.f64 x -3/4)) (pow.f64 (*.f64 x -1/2) 3)) (*.f64 y y)) (*.f64 1/8 (*.f64 (*.f64 x (*.f64 x -3/4)) (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 x -1/2) 4))))) (fma.f64 1/2 (/.f64 y (/.f64 (pow.f64 (*.f64 x -1/2) 2) (*.f64 x (*.f64 x -3/4)))) (/.f64 (*.f64 x (*.f64 x -3/4)) (*.f64 x -1/2))))
(+.f64 (*.f64 (*.f64 x (*.f64 x -3/4)) (+.f64 (/.f64 (*.f64 y (*.f64 y 1/4)) (pow.f64 (*.f64 x -1/2) 3)) (/.f64 (*.f64 (pow.f64 y 3) 1/8) (pow.f64 (*.f64 x -1/2) 4)))) (*.f64 (+.f64 (/.f64 (*.f64 y 1/2) (*.f64 x -1/2)) 1) (*.f64 (/.f64 x (/.f64 (*.f64 x -1/2) x)) -3/4)))
(*.f64 -2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) y))
(*.f64 3/2 (/.f64 (*.f64 x x) y))
(*.f64 3/2 (/.f64 x (/.f64 y x)))
(*.f64 3/2 (*.f64 (/.f64 x y) x))
(+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) y)) (*.f64 -4 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 y 2))))
(fma.f64 -2 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)) y) (*.f64 -4 (/.f64 (-.f64 (*.f64 x 1/2) x) (/.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x))))))
(fma.f64 -2 (/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) y) (/.f64 (*.f64 (-.f64 (*.f64 x 1/2) x) -4) (/.f64 (*.f64 y y) (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)))))
(fma.f64 -2 (/.f64 (*.f64 x (*.f64 x -3/4)) y) (*.f64 (/.f64 -4 y) (/.f64 (*.f64 x (*.f64 x -3/4)) (/.f64 y (*.f64 x -1/2)))))
(*.f64 (/.f64 (*.f64 x (*.f64 x -3/4)) y) (+.f64 -2 (/.f64 (*.f64 (*.f64 x -1/2) -4) y)))
(+.f64 (*.f64 -8 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 x) x) 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 y 3))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) y)) (*.f64 -4 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 y 2)))))
(fma.f64 -8 (/.f64 (pow.f64 (-.f64 (*.f64 x 1/2) x) 2) (/.f64 (pow.f64 y 3) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)))) (fma.f64 -2 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)) y) (*.f64 -4 (/.f64 (-.f64 (*.f64 x 1/2) x) (/.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)))))))
(fma.f64 -8 (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x 1/2) x) 2) (pow.f64 y 3)) (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x))) (fma.f64 -2 (/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) y) (/.f64 (*.f64 (-.f64 (*.f64 x 1/2) x) -4) (/.f64 (*.f64 y y) (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x))))))
(fma.f64 -2 (/.f64 (*.f64 x (*.f64 x -3/4)) y) (fma.f64 -4 (*.f64 (*.f64 x (*.f64 x -3/4)) (/.f64 (*.f64 x -1/2) (*.f64 y y))) (*.f64 (/.f64 (pow.f64 (*.f64 x -1/2) 2) (pow.f64 y 3)) (*.f64 (*.f64 x (*.f64 x -3/4)) -8))))
(fma.f64 -8 (*.f64 (*.f64 x (*.f64 x -3/4)) (/.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 y 3))) (*.f64 (/.f64 (*.f64 x (*.f64 x -3/4)) y) (+.f64 -2 (/.f64 (*.f64 (*.f64 x -1/2) -4) y))))
(+.f64 (*.f64 -16 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 x) x) 3) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 y 4))) (+.f64 (*.f64 -8 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 x) x) 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 y 3))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) y)) (*.f64 -4 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 y 2))))))
(fma.f64 -16 (/.f64 (pow.f64 (-.f64 (*.f64 x 1/2) x) 3) (/.f64 (pow.f64 y 4) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)))) (fma.f64 -8 (/.f64 (pow.f64 (-.f64 (*.f64 x 1/2) x) 2) (/.f64 (pow.f64 y 3) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)))) (fma.f64 -2 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)) y) (*.f64 -4 (/.f64 (-.f64 (*.f64 x 1/2) x) (/.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x))))))))
(fma.f64 -16 (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x 1/2) x) 3) (pow.f64 y 4)) (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x))) (fma.f64 -8 (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x 1/2) x) 2) (pow.f64 y 3)) (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x))) (fma.f64 -2 (/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) y) (/.f64 (*.f64 (-.f64 (*.f64 x 1/2) x) -4) (/.f64 (*.f64 y y) (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)))))))
(fma.f64 -16 (*.f64 (*.f64 x (*.f64 x -3/4)) (/.f64 (pow.f64 (*.f64 x -1/2) 3) (pow.f64 y 4))) (fma.f64 -2 (/.f64 (*.f64 x (*.f64 x -3/4)) y) (fma.f64 -4 (*.f64 (*.f64 x (*.f64 x -3/4)) (/.f64 (*.f64 x -1/2) (*.f64 y y))) (*.f64 (/.f64 (pow.f64 (*.f64 x -1/2) 2) (pow.f64 y 3)) (*.f64 (*.f64 x (*.f64 x -3/4)) -8)))))
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x -3/4)) y) (+.f64 -2 (/.f64 (*.f64 (*.f64 x -1/2) -4) y))) (*.f64 (*.f64 x (*.f64 x -3/4)) (+.f64 (*.f64 -8 (/.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 y 3))) (/.f64 (*.f64 (pow.f64 (*.f64 x -1/2) 3) -16) (pow.f64 y 4)))))
(*.f64 -2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) y))
(*.f64 3/2 (/.f64 (*.f64 x x) y))
(*.f64 3/2 (/.f64 x (/.f64 y x)))
(*.f64 3/2 (*.f64 (/.f64 x y) x))
(+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) y)) (*.f64 -4 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 y 2))))
(fma.f64 -2 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)) y) (*.f64 -4 (/.f64 (-.f64 (*.f64 x 1/2) x) (/.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x))))))
(fma.f64 -2 (/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) y) (/.f64 (*.f64 (-.f64 (*.f64 x 1/2) x) -4) (/.f64 (*.f64 y y) (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)))))
(fma.f64 -2 (/.f64 (*.f64 x (*.f64 x -3/4)) y) (*.f64 (/.f64 -4 y) (/.f64 (*.f64 x (*.f64 x -3/4)) (/.f64 y (*.f64 x -1/2)))))
(*.f64 (/.f64 (*.f64 x (*.f64 x -3/4)) y) (+.f64 -2 (/.f64 (*.f64 (*.f64 x -1/2) -4) y)))
(+.f64 (*.f64 -8 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 x) x) 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 y 3))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) y)) (*.f64 -4 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 y 2)))))
(fma.f64 -8 (/.f64 (pow.f64 (-.f64 (*.f64 x 1/2) x) 2) (/.f64 (pow.f64 y 3) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)))) (fma.f64 -2 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)) y) (*.f64 -4 (/.f64 (-.f64 (*.f64 x 1/2) x) (/.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)))))))
(fma.f64 -8 (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x 1/2) x) 2) (pow.f64 y 3)) (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x))) (fma.f64 -2 (/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) y) (/.f64 (*.f64 (-.f64 (*.f64 x 1/2) x) -4) (/.f64 (*.f64 y y) (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x))))))
(fma.f64 -2 (/.f64 (*.f64 x (*.f64 x -3/4)) y) (fma.f64 -4 (*.f64 (*.f64 x (*.f64 x -3/4)) (/.f64 (*.f64 x -1/2) (*.f64 y y))) (*.f64 (/.f64 (pow.f64 (*.f64 x -1/2) 2) (pow.f64 y 3)) (*.f64 (*.f64 x (*.f64 x -3/4)) -8))))
(fma.f64 -8 (*.f64 (*.f64 x (*.f64 x -3/4)) (/.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 y 3))) (*.f64 (/.f64 (*.f64 x (*.f64 x -3/4)) y) (+.f64 -2 (/.f64 (*.f64 (*.f64 x -1/2) -4) y))))
(+.f64 (*.f64 -16 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 x) x) 3) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 y 4))) (+.f64 (*.f64 -8 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 x) x) 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 y 3))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2)) y)) (*.f64 -4 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) x) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 y 2))))))
(fma.f64 -16 (/.f64 (pow.f64 (-.f64 (*.f64 x 1/2) x) 3) (/.f64 (pow.f64 y 4) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)))) (fma.f64 -8 (/.f64 (pow.f64 (-.f64 (*.f64 x 1/2) x) 2) (/.f64 (pow.f64 y 3) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)))) (fma.f64 -2 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x)) y) (*.f64 -4 (/.f64 (-.f64 (*.f64 x 1/2) x) (/.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x x))))))))
(fma.f64 -16 (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x 1/2) x) 3) (pow.f64 y 4)) (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x))) (fma.f64 -8 (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x 1/2) x) 2) (pow.f64 y 3)) (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x))) (fma.f64 -2 (/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)) y) (/.f64 (*.f64 (-.f64 (*.f64 x 1/2) x) -4) (/.f64 (*.f64 y y) (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x x)))))))
(fma.f64 -16 (*.f64 (*.f64 x (*.f64 x -3/4)) (/.f64 (pow.f64 (*.f64 x -1/2) 3) (pow.f64 y 4))) (fma.f64 -2 (/.f64 (*.f64 x (*.f64 x -3/4)) y) (fma.f64 -4 (*.f64 (*.f64 x (*.f64 x -3/4)) (/.f64 (*.f64 x -1/2) (*.f64 y y))) (*.f64 (/.f64 (pow.f64 (*.f64 x -1/2) 2) (pow.f64 y 3)) (*.f64 (*.f64 x (*.f64 x -3/4)) -8)))))
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x -3/4)) y) (+.f64 -2 (/.f64 (*.f64 (*.f64 x -1/2) -4) y))) (*.f64 (*.f64 x (*.f64 x -3/4)) (+.f64 (*.f64 -8 (/.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 y 3))) (/.f64 (*.f64 (pow.f64 (*.f64 x -1/2) 3) -16) (pow.f64 y 4)))))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -3/4)
(*.f64 x (*.f64 x -3/4))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -3/4)
(*.f64 x (*.f64 x -3/4))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -3/4)
(*.f64 x (*.f64 x -3/4))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -3/4)
(*.f64 x (*.f64 x -3/4))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -3/4)
(*.f64 x (*.f64 x -3/4))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -3/4)
(*.f64 x (*.f64 x -3/4))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -3/4)
(*.f64 x (*.f64 x -3/4))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -3/4)
(*.f64 x (*.f64 x -3/4))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -3/4)
(*.f64 x (*.f64 x -3/4))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -3/4)
(*.f64 x (*.f64 x -3/4))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -3/4)
(*.f64 x (*.f64 x -3/4))
(*.f64 -3/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -3/4)
(*.f64 x (*.f64 x -3/4))

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(*.f64 (/.f64 1 x) 2/3)
0.3b
(/.f64 1 (*.f64 (/.f64 1 x) 2/3))
✓0.3b
(/.f64 1 (*.f64 (/.f64 1 x) 2/3))
✓0.4b
(*.f64 (/.f64 1 x) 2/3)
Compiler

Compiled 20 to 16 computations (20% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 (/.f64 1 x) 2/3)
0.0ms
x
@inf
(*.f64 (/.f64 1 x) 2/3)
0.0ms
x
@inf
(/.f64 1 (*.f64 (/.f64 1 x) 2/3))
0.0ms
x
@-inf
(*.f64 (/.f64 1 x) 2/3)
0.0ms
x
@0
(/.f64 1 (*.f64 (/.f64 1 x) 2/3))

rewrite45.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
620×pow1_binary64
577×add-log-exp_binary64
577×log1p-expm1-u_binary64
577×expm1-log1p-u_binary64
564×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0711
11468
217108
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(*.f64 (/.f64 1 x) 2/3)
(/.f64 1 (*.f64 (/.f64 1 x) 2/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 2/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 2/3 x)) 2) (cbrt.f64 (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 2/3 x)) (sqrt.f64 (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2/3 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2/3 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4/9 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2/3 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 3/2)) (pow.f64 (cbrt.f64 (*.f64 x 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/2)) 2) (cbrt.f64 (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 3/2)) (sqrt.f64 (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 2/3 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 2/3 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 2/3 x)) -1) (pow.f64 (sqrt.f64 (/.f64 2/3 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2/3 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 3/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 3/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 x x) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 3/2)))))))

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0696
1796
Stop Event
1×saturated
Counts
67 → 43
Calls
Call 1
Inputs
(/.f64 2/3 x)
(/.f64 2/3 x)
(/.f64 2/3 x)
(/.f64 2/3 x)
(/.f64 2/3 x)
(/.f64 2/3 x)
(/.f64 2/3 x)
(/.f64 2/3 x)
(/.f64 2/3 x)
(/.f64 2/3 x)
(/.f64 2/3 x)
(/.f64 2/3 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
Outputs
(/.f64 2/3 x)
(/.f64 2/3 x)
(/.f64 2/3 x)
(/.f64 2/3 x)
(/.f64 2/3 x)
(/.f64 2/3 x)
(/.f64 2/3 x)
(/.f64 2/3 x)
(/.f64 2/3 x)
(/.f64 2/3 x)
(/.f64 2/3 x)
(/.f64 2/3 x)
(*.f64 3/2 x)
(*.f64 x 3/2)
(*.f64 3/2 x)
(*.f64 x 3/2)
(*.f64 3/2 x)
(*.f64 x 3/2)
(*.f64 3/2 x)
(*.f64 x 3/2)
(*.f64 3/2 x)
(*.f64 x 3/2)
(*.f64 3/2 x)
(*.f64 x 3/2)
(*.f64 3/2 x)
(*.f64 x 3/2)
(*.f64 3/2 x)
(*.f64 x 3/2)
(*.f64 3/2 x)
(*.f64 x 3/2)
(*.f64 3/2 x)
(*.f64 x 3/2)
(*.f64 3/2 x)
(*.f64 x 3/2)
(*.f64 3/2 x)
(*.f64 x 3/2)

eval385.0ms (6%)

Compiler

Compiled 19069 to 12120 computations (36.4% saved)

prune112.0ms (1.7%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New8072809
Fresh000
Picked101
Done358
Total8117818
Error
0b
Counts
818 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
31.8b
(/.f64 1 (/.f64 (/.f64 1 x) 3/2))
✓31.7b
(*.f64 3/2 x)
✓31.8b
(/.f64 1 (/.f64 2/3 x))
✓0b
(fma.f64 x 3/2 (*.f64 y -1/2))
45.9b
(/.f64 (*.f64 x x) (/.f64 (*.f64 x -1/2) -3/4))
✓0.1b
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
✓31.7b
(*.f64 -1/2 y)
Compiler

Compiled 54 to 43 computations (20.4% saved)

regimes12.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(*.f64 3/2 x)
(/.f64 1 (/.f64 2/3 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(/.f64 1 (/.f64 (/.f64 1 x) 3/2))
(/.f64 (*.f64 x x) (/.f64 (*.f64 x -1/2) -3/4))
(fma.f64 x 3/2 (*.f64 y -1/2))
Outputs
(fma.f64 x 3/2 (*.f64 y -1/2))
Calls

2 calls:

5.0ms
x
5.0ms
y
Results
ErrorSegmentsBranch
0b1x
0b1y
Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes12.0ms (0.2%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(*.f64 3/2 x)
(/.f64 1 (/.f64 2/3 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(/.f64 1 (/.f64 (/.f64 1 x) 3/2))
(/.f64 (*.f64 x x) (/.f64 (*.f64 x -1/2) -3/4))
Outputs
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
Calls

2 calls:

6.0ms
y
5.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes27.0ms (0.4%)

Accuracy

Total -48.3b remaining (-357.4%)

Threshold costs -48.3b (-357.4%)

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

2 calls:

15.0ms
x
10.0ms
y
Results
ErrorSegmentsBranch
14.5b5x
13.5b3y
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch35.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
1.706400682227231e-16
0.0027100045923510586
17.0ms
-9.8307112374039e+105
-2.9784588964109082e+90
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01746
12046
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(if (<=.f64 y -9830711237403899424189892852562654967075236812397611010951216151036512779369916010497815253439209292169216) (*.f64 -1/2 y) (if (<=.f64 y 3460991758488335/20282409603651670423947251286016) (*.f64 3/2 x) (*.f64 -1/2 y)))
(*.f64 -1/2 y)
Outputs
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))
(if (<=.f64 y -9830711237403899424189892852562654967075236812397611010951216151036512779369916010497815253439209292169216) (*.f64 -1/2 y) (if (<=.f64 y 3460991758488335/20282409603651670423947251286016) (*.f64 3/2 x) (*.f64 -1/2 y)))
(if (<=.f64 y -9830711237403899424189892852562654967075236812397611010951216151036512779369916010497815253439209292169216) (*.f64 y -1/2) (if (<=.f64 y 3460991758488335/20282409603651670423947251286016) (*.f64 x 3/2) (*.f64 y -1/2)))
(*.f64 -1/2 y)
(*.f64 y -1/2)

end36.0ms (0.6%)

Stop Event
1×fuel
Compiler

Compiled 76 to 56 computations (26.3% saved)

Profiling

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