Details

Time bar (total: 4.9s)

analyze54.0ms (1.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
37.5%37.5%62.4%0.1%0%0%0%6
56.3%56.2%43.7%0.1%0%0%0%7
65.6%65.6%34.3%0.1%0%0%0%8
76.6%76.5%23.4%0.1%0%0%0%9
82%82%18%0.1%0%0%0%10
87.9%87.8%12.1%0.1%0%0%0%11
90.8%90.7%9.2%0.1%0%0%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample896.0ms (18.2%)

Results
829.0ms7996×body256valid
24.0ms94×body2048valid
21.0ms105×body1024valid
8.0ms61×body512valid
0.0msbody256infinite
Bogosity

preprocess33.0ms (0.7%)

Algorithm
egg-herbie
Rules
128×fma-neg_binary64
44×fma-def_binary64
40×cancel-sign-sub-inv_binary64
34×sub-neg_binary64
21×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01224
12024
22824
34024
47024
514124
618824
729224
835520
941820
1049020
1153520
1254820
1355320
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
(+.f64 y (/.f64 (fabs.f64 (-.f64 x y)) 2))
Outputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x)
(+.f64 y (/.f64 (fabs.f64 (-.f64 x y)) 2))
(+.f64 y (/.f64 (fabs.f64 (-.f64 y x)) 2))
(+.f64 y (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) y)
(fma.f64 (fabs.f64 (-.f64 y x)) 1/2 y)
Compiler

Compiled 12 to 9 computations (25% saved)

simplify18.0ms (0.4%)

Algorithm
egg-herbie
Rules
97×fma-neg_binary64
34×fma-def_binary64
32×cancel-sign-sub-inv_binary64
28×sub-neg_binary64
17×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
0812
11312
22012
32912
45012
510612
616312
721112
827510
932010
1037910
1142410
1244710
1345510
1446010
Stop Event
saturated
Counts
1 → 4
Calls
Call 1
Inputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
Outputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x)

eval1.0ms (0%)

Compiler

Compiled 32 to 14 computations (56.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New314
Fresh011
Picked000
Done000
Total325
Error
0.0b
Counts
5 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
Compiler

Compiled 10 to 7 computations (30% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 26 to 10 computations (61.5% saved)

series8.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@0
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
1.0ms
y
@-inf
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
1.0ms
x
@-inf
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
1.0ms
x
@inf
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
1.0ms
y
@inf
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
Compiler

Compiled 266 to 199 computations (25.2% saved)

rewrite51.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
548×unpow-prod-down_binary64
395×log-prod_binary64
381×fma-def_binary64
266×pow-prod-down_binary64
234×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0812
11918
228698
Stop Event
node limit
Counts
1 → 65
Calls
Call 1
Inputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 y x) 1/2))) (/.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4) (-.f64 x (*.f64 (-.f64 y x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 y x) 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (/.f64 1 (-.f64 x (*.f64 (-.f64 y x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (pow.f64 (/.f64 1 (-.f64 x (*.f64 (-.f64 y x) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 y x) 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 y x) 1/2 x) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)) (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 y x) 2) 1/4 (-.f64 (*.f64 x x) (*.f64 x (*.f64 (-.f64 y x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 (-.f64 y x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))) (neg.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))) (neg.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4) (*.f64 x x)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)) (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 y x))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (-.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y x) 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 y x) 1/2) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (-.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 y x) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) 1/2)) (sqrt.f64 (*.f64 (-.f64 y x) 1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (-.f64 y x)) -1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (-.f64 y x) x)))))

simplify57.0ms (1.2%)

Algorithm
egg-herbie
Rules
401×div-sub_binary64
312×fma-neg_binary64
293×distribute-rgt-in_binary64
284×cancel-sign-sub-inv_binary64
278×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01791313
14551269
212021100
349851100
Stop Event
node limit
Counts
89 → 85
Calls
Call 1
Inputs
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
x
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
x
(+.f64 (*.f64 1/2 (fabs.f64 (+.f64 y (*.f64 -1 x)))) x)
(+.f64 (*.f64 1/2 (fabs.f64 (+.f64 y (*.f64 -1 x)))) x)
(+.f64 (*.f64 1/2 (fabs.f64 (+.f64 y (*.f64 -1 x)))) x)
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
(+.f64 (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))) x)
(+.f64 (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))) x)
(+.f64 (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))) x)
(+.f64 (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 y x) 1/2))) (/.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4) (-.f64 x (*.f64 (-.f64 y x) 1/2))))
(*.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)
(*.f64 1 (fma.f64 (-.f64 y x) 1/2 x))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x))))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x))) 1))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (/.f64 1 (-.f64 x (*.f64 (-.f64 y x) 1/2))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (pow.f64 (/.f64 1 (-.f64 x (*.f64 (-.f64 y x) 1/2))) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 y x) 1/2 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 y x) 1/2 x) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)) (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 y x) 2) 1/4 (-.f64 (*.f64 x x) (*.f64 x (*.f64 (-.f64 y x) 1/2)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 (-.f64 y x) 1/2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))) (neg.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))) (neg.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4) (*.f64 x x)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)))
(pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)) (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2))
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 (-.f64 y x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2))) (exp.f64 x)))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 y x))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1) 1))
(fma.f64 x 1 (*.f64 (-.f64 y x) 1/2))
(fma.f64 (-.f64 y x) 1/2 x)
(fma.f64 (*.f64 (-.f64 y x) 1/2) 1 x)
(fma.f64 1 x (*.f64 (-.f64 y x) 1/2))
(fma.f64 1 (*.f64 (-.f64 y x) 1/2) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) 1/2) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 y x) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 y x) 1/2))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) x)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) x)
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) 1/2) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) 1/2))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) 1/2)) (sqrt.f64 (*.f64 (-.f64 y x) 1/2)) x)
(fma.f64 (neg.f64 (-.f64 y x)) -1/2 x)
(fma.f64 1/2 (-.f64 y x) x)
Outputs
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
(*.f64 1/2 (fabs.f64 (-.f64 x y)))
(*.f64 1/2 (-.f64 y x))
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
x
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
x
(+.f64 (*.f64 1/2 (fabs.f64 (+.f64 y (*.f64 -1 x)))) x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 (*.f64 1/2 (fabs.f64 (+.f64 y (*.f64 -1 x)))) x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 (*.f64 1/2 (fabs.f64 (+.f64 y (*.f64 -1 x)))) x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))) x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))) x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))) x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))) x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))) 1)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 y x) 1/2))) (/.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4) (-.f64 x (*.f64 (-.f64 y x) 1/2))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 y x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 y x) 2) -1/4)) (+.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 2) -1/4 (*.f64 x x)) (fma.f64 1/2 (-.f64 x y) x))
(*.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(*.f64 1 (fma.f64 (-.f64 y x) 1/2 x))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x))))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 1/2 (-.f64 y x) (neg.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 y x) 2) 1/4 (*.f64 x (fma.f64 1/2 (-.f64 x y) x))))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x))) 1))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 1/2 (-.f64 y x) (neg.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 y x) 2) 1/4 (*.f64 x (fma.f64 1/2 (-.f64 x y) x))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (/.f64 1 (-.f64 x (*.f64 (-.f64 y x) 1/2))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 y x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 y x) 2) -1/4)) (+.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 2) -1/4 (*.f64 x x)) (fma.f64 1/2 (-.f64 x y) x))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (pow.f64 (/.f64 1 (-.f64 x (*.f64 (-.f64 y x) 1/2))) 1))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 y x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 y x) 2) -1/4)) (+.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 2) -1/4 (*.f64 x x)) (fma.f64 1/2 (-.f64 x y) x))
(*.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 y x) 1/2 x))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3)) 1/3))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 y x) 1/2 x) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 1/2 (-.f64 y x) x) (cbrt.f64 (fma.f64 1/2 (-.f64 y x) x))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (-.f64 y x) x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (-.f64 y x) x)) 4) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (-.f64 y x) x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (-.f64 y x) x)) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (-.f64 y x) x))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (-.f64 y x) x) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/2 (-.f64 y x) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(/.f64 1 (/.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)) (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 1/2 (-.f64 y x) (neg.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 y x) 2) 1/4 (*.f64 x (fma.f64 1/2 (-.f64 x y) x))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 y x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 y x) 2) -1/4)) (+.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 2) -1/4 (*.f64 x x)) (fma.f64 1/2 (-.f64 x y) x))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 1/2 (-.f64 y x) (neg.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 y x) 2) 1/4 (*.f64 x (fma.f64 1/2 (-.f64 x y) x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 y x) 2) 1/4 (-.f64 (*.f64 x x) (*.f64 x (*.f64 (-.f64 y x) 1/2)))))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 1/2 (-.f64 y x) (neg.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 y x) 2) 1/4 (*.f64 x (fma.f64 1/2 (-.f64 x y) x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 (-.f64 y x) 1/2)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 y x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 y x) 2) -1/4)) (+.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 2) -1/4 (*.f64 x x)) (fma.f64 1/2 (-.f64 x y) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))) (neg.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x))))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 1/2 (-.f64 y x) (neg.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 y x) 2) 1/4 (*.f64 x (fma.f64 1/2 (-.f64 x y) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))) (neg.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 y x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 y x) 2) -1/4)) (+.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 2) -1/4 (*.f64 x x)) (fma.f64 1/2 (-.f64 x y) x))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4) (*.f64 x x)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 y x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 y x) 2) -1/4)) (+.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 2) -1/4 (*.f64 x x)) (fma.f64 1/2 (-.f64 x y) x))
(pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2) 1/2)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3) 1/3)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 3)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)) (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))) -1)
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 1/2 (-.f64 y x) (neg.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 y x) 2) 1/4 (*.f64 x (fma.f64 1/2 (-.f64 x y) x))))
(pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))) -1)
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 y x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 y x) 2) -1/4)) (+.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 2) -1/4 (*.f64 x x)) (fma.f64 1/2 (-.f64 x y) x))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 (-.f64 y x)))))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2)))))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2)))))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2))) (exp.f64 x)))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 y x))) (+.f64 1 (expm1.f64 x))))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2))) (+.f64 1 (expm1.f64 x))))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))) 1/3))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1) 1))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 x 1 (*.f64 (-.f64 y x) 1/2))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 (-.f64 y x) 1/2 x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 (*.f64 (-.f64 y x) 1/2) 1 x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 1 x (*.f64 (-.f64 y x) 1/2))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 1 (*.f64 (-.f64 y x) 1/2) x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) 1/2) x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 y x) 1/2))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 y x) 1/2))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) x)
(fma.f64 (cbrt.f64 (*.f64 1/2 (-.f64 y x))) (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) x)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) x)
(fma.f64 (cbrt.f64 (*.f64 1/2 (-.f64 y x))) (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) x)
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) 1/2) x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) 1/2))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) 1/2)) (sqrt.f64 (*.f64 (-.f64 y x) 1/2)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 (neg.f64 (-.f64 y x)) -1/2 x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)

eval22.0ms (0.4%)

Compiler

Compiled 1262 to 666 computations (47.2% saved)

prune14.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New80585
Fresh000
Picked011
Done000
Total80686
Error
0.0b
Counts
86 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
27.2b
(fma.f64 (-.f64 y x) 1/2 x)
43.2b
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)
0.0b
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
46.0b
(*.f64 1/2 (-.f64 y x))
29.8b
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
56.8b
x
Compiler

Compiled 47 to 33 computations (29.8% saved)

localize7.0ms (0.1%)

Compiler

Compiled 18 to 7 computations (61.1% saved)

localize5.0ms (0.1%)

Compiler

Compiled 13 to 6 computations (53.8% saved)

localize25.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 (-.f64 y x) 1/2 x)
0.3b
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)
Compiler

Compiled 31 to 15 computations (51.6% saved)

series3.3s (67.9%)

Counts
2 → 32
Calls

12 calls:

TimeVariablePointExpression
884.0ms
x
@inf
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)
882.0ms
x
@-inf
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)
808.0ms
y
@inf
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)
760.0ms
y
@-inf
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)
5.0ms
y
@0
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)
Compiler

Compiled 217628 to 174520 computations (19.8% saved)

rewrite50.0ms (1%)

Algorithm
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
0916
119616
2214916
Stop Event
node limit
Counts
2 → 48
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)
(fma.f64 (-.f64 y x) 1/2 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 y x) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (-.f64 y x) 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 y x) 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4) (*.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4)) (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) 1/2) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) (*.f64 (-.f64 y x) 1/2)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 y x) 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) (*.f64 (-.f64 y x) 1/2)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 y x) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y x) 1/2 x)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 y x) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (-.f64 y x) 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 y x) 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4) (*.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4)) (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) 1/2) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) (*.f64 (-.f64 y x) 1/2)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 y x) 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) (*.f64 (-.f64 y x) 1/2)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 y x) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)))))))

simplify68.0ms (1.4%)

Algorithm
egg-herbie
Rules
525×fma-def_binary64
376×associate-/l/_binary64
299×associate-/r/_binary64
229×associate-+l+_binary64
222×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01161166
1325722
21166704
35201668
Stop Event
node limit
Counts
80 → 52
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) x)) 2)
(+.f64 (*.f64 1/2 y) (pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) x)) 2))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (/.f64 1/4 (sqrt.f64 (+.f64 (*.f64 -1/2 x) x))) 2)) (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) x)) 2)))) (pow.f64 y 2)) (+.f64 (*.f64 1/2 y) (pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) x)) 2)))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (/.f64 1/4 (sqrt.f64 (+.f64 (*.f64 -1/2 x) x))) 2) (pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) x)) 2))) (*.f64 -1/4 (/.f64 (pow.f64 (/.f64 1/4 (sqrt.f64 (+.f64 (*.f64 -1/2 x) x))) 2) (pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) x)) 2))))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (/.f64 1/4 (sqrt.f64 (+.f64 (*.f64 -1/2 x) x))) 2)) (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) x)) 2)))) (pow.f64 y 2)) (+.f64 (*.f64 1/2 y) (pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) x)) 2))))
(pow.f64 (sqrt.f64 (*.f64 1/2 y)) 2)
(+.f64 (*.f64 1/2 x) (pow.f64 (sqrt.f64 (*.f64 1/2 y)) 2))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (/.f64 1/4 (sqrt.f64 (*.f64 1/2 y))) 2)) (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 1/2 y)) 2)))) (pow.f64 x 2)) (pow.f64 (sqrt.f64 (*.f64 1/2 y)) 2)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (/.f64 1/4 (sqrt.f64 (*.f64 1/2 y))) 2)) (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 1/2 y)) 2)))) (pow.f64 x 2)) (+.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 y)) 2) (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (/.f64 1/4 (sqrt.f64 (*.f64 1/2 y))) 2) (pow.f64 (sqrt.f64 (*.f64 1/2 y)) 2))) (*.f64 -1/4 (/.f64 (pow.f64 (/.f64 1/4 (sqrt.f64 (*.f64 1/2 y))) 2) (pow.f64 (sqrt.f64 (*.f64 1/2 y)) 2)))) (pow.f64 x 3)))))
(+.f64 (*.f64 -1/2 x) x)
(+.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 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 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 (-.f64 y x) 1/2))
(+.f64 (*.f64 (-.f64 y x) 1/2) x)
(+.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) 1) x)
(-.f64 (+.f64 1 (fma.f64 (-.f64 y x) 1/2 x)) 1)
(*.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(*.f64 1 (fma.f64 (-.f64 y x) 1/2 x))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4) (*.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4)) (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) 1/2) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) (*.f64 (-.f64 y x) 1/2)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 y x) 1/2) x))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) (*.f64 (-.f64 y x) 1/2)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 y x) 1/2) x))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2))
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(fma.f64 (-.f64 y x) 1/2 x)
(+.f64 x (*.f64 (-.f64 y x) 1/2))
(+.f64 (*.f64 (-.f64 y x) 1/2) x)
(+.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) 1) x)
(-.f64 (+.f64 1 (fma.f64 (-.f64 y x) 1/2 x)) 1)
(*.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(*.f64 1 (fma.f64 (-.f64 y x) 1/2 x))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4) (*.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4)) (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) 1/2) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) (*.f64 (-.f64 y x) 1/2)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 y x) 1/2) x))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) (*.f64 (-.f64 y x) 1/2)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 y x) 1/2) x))
(pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 3)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2))
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)))
Outputs
(pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) x)) 2)
(pow.f64 (sqrt.f64 (*.f64 x 1/2)) 2)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 y) (pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) x)) 2))
(fma.f64 1/2 y (pow.f64 (sqrt.f64 (*.f64 x 1/2)) 2))
(*.f64 1/2 (+.f64 x y))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (/.f64 1/4 (sqrt.f64 (+.f64 (*.f64 -1/2 x) x))) 2)) (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) x)) 2)))) (pow.f64 y 2)) (+.f64 (*.f64 1/2 y) (pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) x)) 2)))
(fma.f64 1/2 y (pow.f64 (sqrt.f64 (*.f64 x 1/2)) 2))
(*.f64 1/2 (+.f64 x y))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (/.f64 1/4 (sqrt.f64 (+.f64 (*.f64 -1/2 x) x))) 2) (pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) x)) 2))) (*.f64 -1/4 (/.f64 (pow.f64 (/.f64 1/4 (sqrt.f64 (+.f64 (*.f64 -1/2 x) x))) 2) (pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) x)) 2))))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (/.f64 1/4 (sqrt.f64 (+.f64 (*.f64 -1/2 x) x))) 2)) (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) x)) 2)))) (pow.f64 y 2)) (+.f64 (*.f64 1/2 y) (pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) x)) 2))))
(fma.f64 1/2 y (pow.f64 (sqrt.f64 (*.f64 x 1/2)) 2))
(*.f64 1/2 (+.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 1/2 y)) 2)
(*.f64 1/2 y)
(+.f64 (*.f64 1/2 x) (pow.f64 (sqrt.f64 (*.f64 1/2 y)) 2))
(fma.f64 1/2 y (pow.f64 (sqrt.f64 (*.f64 x 1/2)) 2))
(*.f64 1/2 (+.f64 x y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (/.f64 1/4 (sqrt.f64 (*.f64 1/2 y))) 2)) (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 1/2 y)) 2)))) (pow.f64 x 2)) (pow.f64 (sqrt.f64 (*.f64 1/2 y)) 2)))
(fma.f64 1/2 y (pow.f64 (sqrt.f64 (*.f64 x 1/2)) 2))
(*.f64 1/2 (+.f64 x y))
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(*.f64 1/2 (+.f64 x y))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(fma.f64 1/2 y (pow.f64 (sqrt.f64 (*.f64 x 1/2)) 2))
(*.f64 1/2 (+.f64 x y))
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(fma.f64 1/2 y (pow.f64 (sqrt.f64 (*.f64 x 1/2)) 2))
(*.f64 1/2 (+.f64 x y))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 6 computations (57.1% saved)

eval18.0ms (0.4%)

Compiler

Compiled 983 to 626 computations (36.3% saved)

prune11.0ms (0.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New58361
Fresh011
Picked101
Done224
Total61667
Error
0.0b
Counts
67 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
45.2b
(*.f64 x 1/2)
27.2b
(*.f64 1/2 (+.f64 x y))
29.8b
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
45.3b
(*.f64 1/2 y)
56.8b
x
Compiler

Compiled 38 to 28 computations (26.3% saved)

localize4.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.1%)

Compiler

Compiled 13 to 6 computations (53.8% saved)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done044
Total066
Error
0.0b
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
45.2b
(*.f64 x 1/2)
27.2b
(*.f64 1/2 (+.f64 x y))
29.8b
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
45.3b
(*.f64 1/2 y)
56.8b
x
Compiler

Compiled 38 to 28 computations (26.3% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done055
Total066
Error
0.0b
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
45.2b
(*.f64 x 1/2)
27.2b
(*.f64 1/2 (+.f64 x y))
29.8b
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
45.3b
(*.f64 1/2 y)
56.8b
x
Compiler

Compiled 38 to 28 computations (26.3% saved)

regimes22.0ms (0.4%)

Counts
9 → 1
Calls
Call 1
Inputs
x
(*.f64 1/2 y)
(*.f64 x 1/2)
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (-.f64 y x))
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
(fma.f64 (-.f64 y x) 1/2 x)
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)
Outputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
Calls

3 calls:

7.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
7.0ms
x
6.0ms
y
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
Compiler

Compiled 64 to 36 computations (43.8% saved)

regimes22.0ms (0.4%)

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

2 calls:

10.0ms
y
10.0ms
x
Results
ErrorSegmentsBranch
19.4b2x
17.0b2y
Compiler

Compiled 37 to 21 computations (43.2% saved)

bsearch17.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
-2.3806891475214975e-75
-7.09686833161117e-92
Results
14.0ms153×body256valid
1.0msbody512valid
1.0msbody2048valid
Compiler

Compiled 185 to 141 computations (23.8% saved)

regimes11.0ms (0.2%)

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

2 calls:

6.0ms
y
4.0ms
x
Results
ErrorSegmentsBranch
27.2b1x
27.2b1y
Compiler

Compiled 25 to 16 computations (36% saved)

regimes18.0ms (0.4%)

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

2 calls:

10.0ms
x
7.0ms
y
Results
ErrorSegmentsBranch
35.8b3x
34.0b2y
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch14.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
14.0ms
5.61457942288813e-117
3.8459443137714826e-113
Results
11.0ms125×body256valid
1.0msbody2048valid
0.0msbody1024valid
Compiler

Compiled 111 to 91 computations (18% saved)

regimes13.0ms (0.3%)

Accuracy

Total -20.4b remaining (-48.7%)

Threshold costs -20.4b (-48.7%)

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

2 calls:

6.0ms
y
6.0ms
x
Results
ErrorSegmentsBranch
44.2b2x
41.8b2y
Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch14.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
14.0ms
5.61457942288813e-117
3.8459443137714826e-113
Results
11.0ms123×body256valid
1.0msbody1024valid
0.0msbody512valid
Compiler

Compiled 95 to 75 computations (21.1% saved)

simplify26.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02467
13467
24167
34667
44967
55067
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
(if (<=.f64 y -6257774519299541/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512) (*.f64 1/2 (fabs.f64 (-.f64 y x))) (*.f64 1/2 (+.f64 x y)))
(*.f64 1/2 (+.f64 x y))
(if (<=.f64 y 1663601816472489/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (*.f64 x 1/2) (*.f64 1/2 y))
(if (<=.f64 y 4045879617661093/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944) x (*.f64 1/2 y))
x
Outputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
(if (<=.f64 y -6257774519299541/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512) (*.f64 1/2 (fabs.f64 (-.f64 y x))) (*.f64 1/2 (+.f64 x y)))
(if (<=.f64 y -6257774519299541/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512) (*.f64 (fabs.f64 (-.f64 y x)) 1/2) (*.f64 1/2 (+.f64 x y)))
(*.f64 1/2 (+.f64 x y))
(if (<=.f64 y 1663601816472489/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (*.f64 x 1/2) (*.f64 1/2 y))
(if (<=.f64 y 1663601816472489/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (*.f64 x 1/2) (*.f64 y 1/2))
(if (<=.f64 y 4045879617661093/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944) x (*.f64 1/2 y))
(if (<=.f64 y 4045879617661093/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944) x (*.f64 y 1/2))
x
Compiler

Compiled 59 to 42 computations (28.8% saved)

soundness0.0ms (0%)

end57.0ms (1.2%)

Compiler

Compiled 49 to 29 computations (40.8% saved)

Profiling

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