Details

Time bar (total: 2.0s)

analyze82.0ms (4.2%)

Algorithm
1×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)

sample842.0ms (42.9%)

Results
764.0ms7987×body256valid
27.0ms94×body2048valid
24.0ms110×body1024valid
10.0ms65×body512valid
Bogosity

preprocess33.0ms (1.7%)

Algorithm
2×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
1×saturated
1×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)

simplify21.0ms (1.1%)

Algorithm
1×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
1×saturated
Counts
1 → 2
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 17 to 9 computations (47.1% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 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)

localize11.0ms (0.5%)

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)

series4.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

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

rewrite61.0ms (3.1%)

Algorithm
1×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
1×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)))))

simplify33.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
84×fma-neg_binary64
62×fma-def_binary64
29×cancel-sign-sub-inv_binary64
23×sub-neg_binary64
21×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020221
145221
268221
3115221
4181221
5214221
6286221
7338221
8387221
9415221
10422221
11427221
Stop Event
1×saturated
Counts
89 → 72
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)
Outputs
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
(*.f64 1/2 (fabs.f64 (-.f64 x y)))
(+.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)
(+.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)
(+.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)
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)
(+.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)
(+.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)
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)
(+.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)
(+.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)
(+.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)
(+.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)
(+.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)
(+.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)
(+.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)
(+.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)
(+.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)
(+.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)
(+.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)
(+.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)
(+.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)
(+.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)

eval21.0ms (1.1%)

Compiler

Compiled 1014 to 540 computations (46.7% saved)

prune12.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New68472
Fresh000
Picked011
Done000
Total68573
Error
0.0b
Counts
73 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
▶32.1b
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
▶26.6b
(fma.f64 (-.f64 y x) 1/2 x)
56.3b
x
▶30.0b
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) 1/2) x)
Compiler

Compiled 43 to 27 computations (37.2% saved)

localize8.0ms (0.4%)

Compiler

Compiled 18 to 7 computations (61.1% saved)

localize19.0ms (1%)

Local error

Found 1 expressions with local error:

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

Compiled 30 to 10 computations (66.7% saved)

series25.0ms (1.3%)

Counts
1 → 10
Calls

6 calls:

TimeVariablePointExpression
6.0ms
y
@-inf
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) 1/2) x)
6.0ms
y
@0
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) 1/2) x)
5.0ms
y
@inf
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) 1/2) x)
4.0ms
x
@inf
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) 1/2) x)
3.0ms
x
@0
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) 1/2) x)

rewrite59.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
881×pow1_binary64
817×add-log-exp_binary64
817×log1p-expm1-u_binary64
817×expm1-log1p-u_binary64
798×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0818
117110
2219410
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.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 (+.f64 x (*.f64 (-.f64 y x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 (-.f64 y x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (*.f64 (-.f64 y x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) 1/2))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) 1/2))) 2) (cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (*.f64 (-.f64 y x) 1/2))) (sqrt.f64 (+.f64 x (*.f64 (-.f64 y x) 1/2))))))) (#(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 (+.f64 x (*.f64 (-.f64 y x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 (-.f64 y x) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 (-.f64 y x) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 (-.f64 y x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (*.f64 (-.f64 y x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 (-.f64 y x) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 (-.f64 y x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 (-.f64 y x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (*.f64 (-.f64 y x) 1/2))))))))

simplify71.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
587×associate-/l*_binary64
382×fma-def_binary64
365×+-commutative_binary64
337×distribute-rgt-in_binary64
327×distribute-lft-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
093559
1288419
21029337
34344248
47828246
Stop Event
1×node limit
Counts
31 → 36
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) x)
(+.f64 (*.f64 1/2 y) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) x))
(+.f64 (*.f64 1/2 y) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 -1/2 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) 2) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 x 3)))))) (*.f64 5/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 x 3)))))) x)))
(+.f64 (*.f64 (pow.f64 y 5) (-.f64 (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) 2) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 x 3))))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 1/2 (-.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 x 4)))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) 2) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 x 3))))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))))) (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 x 4)))))) (+.f64 (*.f64 1/2 y) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 -1/2 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) 2) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 x 3)))))) (*.f64 5/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 x 3)))))) x))))
(*.f64 1/2 y)
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/2 y) (*.f64 (+.f64 (*.f64 -1/2 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 y 3))))) (*.f64 5/128 (/.f64 1 (pow.f64 y 3)))) (pow.f64 x 4))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 y 3)))) y)) (*.f64 1/64 (/.f64 1 (pow.f64 y 4))))) (+.f64 (*.f64 1/128 (/.f64 1 (pow.f64 y 4))) (*.f64 1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 y 3)))) y)))) (pow.f64 x 5)) (+.f64 (*.f64 1/2 y) (*.f64 (+.f64 (*.f64 -1/2 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 y 3))))) (*.f64 5/128 (/.f64 1 (pow.f64 y 3)))) (pow.f64 x 4)))))
x
x
Outputs
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) x)
(fma.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x) x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 y) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) x))
(fma.f64 1/2 y (fma.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x) x))
(*.f64 1/2 (+.f64 x y))
(+.f64 (*.f64 1/2 y) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 -1/2 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) 2) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 x 3)))))) (*.f64 5/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 x 3)))))) x)))
(fma.f64 1/2 y (fma.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x) (fma.f64 (pow.f64 y 4) (fma.f64 -1/2 (+.f64 (pow.f64 (*.f64 (*.f64 -1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) 2) (/.f64 1/16 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 6)))) (/.f64 5/128 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 6)))) x)))
(+.f64 (*.f64 1/2 (+.f64 x y)) (*.f64 (pow.f64 y 4) (fma.f64 -1/2 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 -1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) 2) (/.f64 -1/16 (pow.f64 x 3))) (/.f64 -5/128 (pow.f64 x 3)))))
(fma.f64 1/2 (+.f64 x y) (*.f64 (pow.f64 y 4) (fma.f64 -1/2 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1/8 (sqrt.f64 -1))) 2) (*.f64 (/.f64 -1 (pow.f64 x 3)) 1/128))))
(+.f64 (*.f64 (pow.f64 y 5) (-.f64 (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) 2) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 x 3))))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 1/2 (-.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 x 4)))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) 2) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 x 3))))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))))) (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 x 4)))))) (+.f64 (*.f64 1/2 y) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 -1/2 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) 2) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 x 3)))))) (*.f64 5/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 x 3)))))) x))))
(fma.f64 (pow.f64 y 5) (-.f64 (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 -1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) 2) (/.f64 1/16 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 6)))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (-.f64 (/.f64 1/64 (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 x 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 -1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) 2) (/.f64 1/16 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 6)))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))))) (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 x 4)))) (fma.f64 1/2 y (fma.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x) (fma.f64 (pow.f64 y 4) (fma.f64 -1/2 (+.f64 (pow.f64 (*.f64 (*.f64 -1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) 2) (/.f64 1/16 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 6)))) (/.f64 5/128 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 6)))) x))))
(fma.f64 (pow.f64 y 5) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 -1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) 2) (/.f64 -1/16 (pow.f64 x 3))) x)) (fma.f64 1/2 (-.f64 (/.f64 1/64 (pow.f64 x 4)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 -1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) 2) (/.f64 -1/16 (pow.f64 x 3))) x))) (/.f64 -1/128 (pow.f64 x 4)))) (+.f64 (*.f64 1/2 (+.f64 x y)) (*.f64 (pow.f64 y 4) (fma.f64 -1/2 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 -1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) 2) (/.f64 -1/16 (pow.f64 x 3))) (/.f64 -5/128 (pow.f64 x 3))))))
(fma.f64 (pow.f64 y 5) (fma.f64 1/2 (+.f64 (/.f64 1/64 (pow.f64 x 4)) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1/8 (sqrt.f64 -1))) 2) (/.f64 -1/16 (pow.f64 x 3))) x))) (fma.f64 1/4 (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1/8 (sqrt.f64 -1))) 2) (/.f64 -1/16 (pow.f64 x 3))) x) (/.f64 -1/128 (pow.f64 x 4)))) (fma.f64 1/2 (+.f64 x y) (*.f64 (pow.f64 y 4) (fma.f64 -1/2 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1/8 (sqrt.f64 -1))) 2) (*.f64 (/.f64 -1 (pow.f64 x 3)) 1/128)))))
(fma.f64 (pow.f64 y 5) (+.f64 (/.f64 1/128 (pow.f64 x 4)) (-.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1/8 (sqrt.f64 -1))) 2) (/.f64 -1/16 (pow.f64 x 3))) (neg.f64 x)) 0) (/.f64 1/128 (pow.f64 x 4)))) (fma.f64 1/2 (+.f64 x y) (*.f64 (pow.f64 y 4) (fma.f64 -1/2 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1/8 (sqrt.f64 -1))) 2) (*.f64 (/.f64 -1 (pow.f64 x 3)) 1/128)))))
(fma.f64 (pow.f64 y 5) (+.f64 (/.f64 1/128 (pow.f64 x 4)) (fma.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1/8 (sqrt.f64 -1))) 2) (/.f64 -1/16 (pow.f64 x 3))) (neg.f64 x)) 0 (/.f64 -1/128 (pow.f64 x 4)))) (fma.f64 1/2 (+.f64 x y) (*.f64 (pow.f64 y 4) (fma.f64 -1/2 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1/8 (sqrt.f64 -1))) 2) (*.f64 (/.f64 -1 (pow.f64 x 3)) 1/128)))))
(*.f64 1/2 y)
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(fma.f64 1/2 y (fma.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x) x))
(*.f64 1/2 (+.f64 x y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/2 y) (*.f64 (+.f64 (*.f64 -1/2 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 y 3))))) (*.f64 5/128 (/.f64 1 (pow.f64 y 3)))) (pow.f64 x 4))))
(fma.f64 1/2 x (fma.f64 1/2 y (*.f64 (pow.f64 x 4) (fma.f64 -1/2 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) 2) (/.f64 1/16 (pow.f64 y 3))) (/.f64 5/128 (pow.f64 y 3))))))
(fma.f64 1/2 (+.f64 x y) (*.f64 (pow.f64 x 4) (+.f64 (fma.f64 -1/2 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) 2) (/.f64 -1/32 (pow.f64 y 3))) (/.f64 5/128 (pow.f64 y 3)))))
(fma.f64 1/2 (+.f64 x y) (*.f64 (pow.f64 x 4) (fma.f64 -1/2 (/.f64 1/64 (pow.f64 y 3)) (*.f64 1/2 (/.f64 1/64 (pow.f64 y 3))))))
(fma.f64 1/2 (+.f64 x y) (*.f64 (pow.f64 x 4) (*.f64 (/.f64 1 (pow.f64 y 3)) 0)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 y 3)))) y)) (*.f64 1/64 (/.f64 1 (pow.f64 y 4))))) (+.f64 (*.f64 1/128 (/.f64 1 (pow.f64 y 4))) (*.f64 1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 y 3)))) y)))) (pow.f64 x 5)) (+.f64 (*.f64 1/2 y) (*.f64 (+.f64 (*.f64 -1/2 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 y 3))))) (*.f64 5/128 (/.f64 1 (pow.f64 y 3)))) (pow.f64 x 4)))))
(fma.f64 1/2 x (fma.f64 (fma.f64 -1/2 (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) 2) (/.f64 1/16 (pow.f64 y 3))) y) (/.f64 1/64 (pow.f64 y 4))) (+.f64 (/.f64 1/128 (pow.f64 y 4)) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) 2) (/.f64 1/16 (pow.f64 y 3))) y) 1/4))) (pow.f64 x 5) (fma.f64 1/2 y (*.f64 (pow.f64 x 4) (fma.f64 -1/2 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) 2) (/.f64 1/16 (pow.f64 y 3))) (/.f64 5/128 (pow.f64 y 3)))))))
(fma.f64 1/2 x (fma.f64 (fma.f64 -1/2 (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) 2) (/.f64 1/16 (pow.f64 y 3))) y) (/.f64 1/64 (pow.f64 y 4))) (fma.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) 2) (/.f64 1/16 (pow.f64 y 3))) y) 1/4 (/.f64 1/128 (pow.f64 y 4)))) (pow.f64 x 5) (fma.f64 1/2 y (*.f64 (pow.f64 x 4) (+.f64 (fma.f64 -1/2 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) 2) (/.f64 -1/32 (pow.f64 y 3))) (/.f64 5/128 (pow.f64 y 3)))))))
(fma.f64 (+.f64 (/.f64 (fma.f64 (/.f64 1/64 (pow.f64 y 3)) 1/4 (/.f64 1/64 (pow.f64 y 3))) y) (fma.f64 -1/4 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 y 3)) (/.f64 1/16 (pow.f64 y 3))) y) (*.f64 (/.f64 1 (pow.f64 y 4)) 0))) (pow.f64 x 5) (fma.f64 1/2 (+.f64 x y) (*.f64 (pow.f64 x 4) (fma.f64 -1/2 (/.f64 1/64 (pow.f64 y 3)) (*.f64 1/2 (/.f64 1/64 (pow.f64 y 3)))))))
(fma.f64 (+.f64 0 (*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 y 3)) 5/64) y) 0)) (pow.f64 x 5) (fma.f64 1/2 (+.f64 x y) (*.f64 (pow.f64 x 4) (*.f64 (/.f64 1 (pow.f64 y 3)) 0))))
x
x

localize6.0ms (0.3%)

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)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite70.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
715×pow1_binary64
666×add-log-exp_binary64
666×log1p-expm1-u_binary64
666×expm1-log1p-u_binary64
653×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11328
217428
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(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 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 (+.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 (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 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)))))))

simplify25.0ms (1.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
012186
129150
246150
348150
Stop Event
1×saturated
Counts
45 → 28
Calls
Call 1
Inputs
(+.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))
Outputs
(+.f64 (*.f64 -1/2 x) x)
(*.f64 x 1/2)
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(fma.f64 -1/2 x (fma.f64 1/2 y x))
(*.f64 1/2 (+.f64 x y))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(fma.f64 -1/2 x (fma.f64 1/2 y x))
(*.f64 1/2 (+.f64 x y))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(fma.f64 -1/2 x (fma.f64 1/2 y x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 y)
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(fma.f64 -1/2 x (fma.f64 1/2 y x))
(*.f64 1/2 (+.f64 x y))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(fma.f64 -1/2 x (fma.f64 1/2 y x))
(*.f64 1/2 (+.f64 x y))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(fma.f64 -1/2 x (fma.f64 1/2 y x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 y)
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(fma.f64 -1/2 x (fma.f64 1/2 y x))
(*.f64 1/2 (+.f64 x y))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(fma.f64 -1/2 x (fma.f64 1/2 y x))
(*.f64 1/2 (+.f64 x y))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(fma.f64 -1/2 x (fma.f64 1/2 y x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 y)
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(fma.f64 -1/2 x (fma.f64 1/2 y x))
(*.f64 1/2 (+.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(fma.f64 -1/2 x (fma.f64 1/2 y x))
(*.f64 1/2 (+.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(fma.f64 -1/2 x (fma.f64 1/2 y x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(fma.f64 -1/2 x (fma.f64 1/2 y x))
(*.f64 1/2 (+.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(fma.f64 -1/2 x (fma.f64 1/2 y x))
(*.f64 1/2 (+.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(fma.f64 -1/2 x (fma.f64 1/2 y x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(fma.f64 -1/2 x (fma.f64 1/2 y x))
(*.f64 1/2 (+.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(fma.f64 -1/2 x (fma.f64 1/2 y x))
(*.f64 1/2 (+.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(fma.f64 -1/2 x (fma.f64 1/2 y x))
(*.f64 1/2 (+.f64 x y))

eval49.0ms (2.5%)

Compiler

Compiled 1121 to 787 computations (29.8% saved)

prune23.0ms (1.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New59564
Fresh101
Picked101
Done123
Total62769
Error
0.0b
Counts
69 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
✓32.1b
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
▶26.6b
(*.f64 1/2 (+.f64 x y))
▶42.1b
(*.f64 x 1/2)
▶33.7b
(-.f64 (+.f64 1 (+.f64 x (*.f64 (-.f64 y x) 1/2))) 1)
56.3b
x
▶46.7b
(*.f64 1/2 y)
Compiler

Compiled 51 to 38 computations (25.5% saved)

localize8.0ms (0.4%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize9.0ms (0.5%)

Compiler

Compiled 13 to 6 computations (53.8% saved)

localize7.0ms (0.4%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize15.0ms (0.8%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (*.f64 (-.f64 y x) 1/2))
✓2.8b
(-.f64 (+.f64 1 (+.f64 x (*.f64 (-.f64 y x) 1/2))) 1)
Compiler

Compiled 41 to 22 computations (46.3% saved)

series4.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

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

rewrite94.0ms (4.8%)

Algorithm
1×batch-egg-rewrite
Rules
674×fma-def_binary64
483×log-prod_binary64
349×fma-neg_binary64
291×pow2_binary64
197×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01032
123716
2359316
Stop Event
1×node limit
Counts
2 → 204
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (+.f64 x (*.f64 (-.f64 y x) 1/2))) 1)
(+.f64 x (*.f64 (-.f64 y x) 1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (-.f64 y x) 1/2 (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 (-.f64 y x) 1/2 (-.f64 x 1)) 1))))) (#(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 (fma.f64 (-.f64 y x) 1/2 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (-.f64 y x) 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (-.f64 y x) 1/2 (-.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) (fma.f64 (-.f64 y x) 1/2 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))) (log.f64 (sqrt.f64 (exp.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 (fma.f64 (-.f64 y x) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)) 2) (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 2))))))) (#(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 x x (*.f64 (*.f64 (-.f64 y x) 1/2) (-.f64 (*.f64 (-.f64 y x) 1/2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))) (/.f64 1 (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)))))) (#(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 (sqrt.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 y x) 1/2) (-.f64 (*.f64 (-.f64 y x) 1/2) 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 1 (/.f64 (+.f64 (pow.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)) 2) (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 2) (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))) (+.f64 (pow.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)) 2) (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))) (+.f64 (pow.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)) 2) (-.f64 1 (*.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 (-.f64 y x) 1/2) (-.f64 (*.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)) (fma.f64 (pow.f64 (-.f64 y x) 2) 1/4 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (-.f64 y x)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))) (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 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 x x (*.f64 (*.f64 (-.f64 y x) 1/2) (-.f64 (*.f64 (-.f64 y x) 1/2) 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 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)) 2) (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))))) (neg.f64 (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 (-.f64 y x) 1/2 (-.f64 x 1)) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 (-.f64 x 1)) 2) (fma.f64 (-.f64 y x) 1/2 (-.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4) (*.f64 x x)) (-.f64 (*.f64 (-.f64 y x) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 (-.f64 y x) 1/2 (-.f64 x 1)) 2)) (-.f64 1 (fma.f64 (-.f64 y x) 1/2 (-.f64 x 1))))))) (#(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 (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 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 y x) 1/2) (-.f64 (*.f64 (-.f64 y x) 1/2) 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 pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)) 2) (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 2) (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))))) -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 hypot.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2) (fma.f64 (-.f64 y x) 1/2 x))))))) (#(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 expm1.f64 (*.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1))))) (#(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 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 1 (fma.f64 (-.f64 y x) 1/2 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (-.f64 y x) 1/2 (-.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 x) (fma.f64 (-.f64 y x) 1/2 -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 1/2 (-.f64 y x) 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 (fma.f64 (-.f64 y x) 1/2 x) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.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 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1))) 2) (cbrt.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1))) 2) (*.f64 (cbrt.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1))) 1) -1)))) (#(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)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) 2) (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 0)))) (#(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 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1))) (sqrt.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1))) (*.f64 (sqrt.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1))) 1) -1)))) (#(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 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)) 2) (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3)) (/.f64 1 (fma.f64 (fma.f64 (-.f64 y x) 1/2 x) (fma.f64 (-.f64 y x) 1/2 (-.f64 x 1)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (-.f64 y x) 1/2) (-.f64 (*.f64 (-.f64 y x) 1/2) x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))) (/.f64 1 (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)) (/.f64 1 (-.f64 1 (fma.f64 (-.f64 y x) 1/2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (/.f64 1 (-.f64 x (*.f64 (-.f64 y x) 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) (fma.f64 (-.f64 y x) 1/2 -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 (-.f64 x 1))) 2) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 (-.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x)) (fma.f64 (-.f64 y x) 1/2 -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 (-.f64 x 1))) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 (-.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1) (-.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (-.f64 y x) 2))) (cbrt.f64 (-.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x)) x)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)) 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 (/.f64 (pow.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)) 3) (+.f64 (pow.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)) 2) (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)) 2) (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)) 2) (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)) (/.f64 1 (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)))))) (#(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 (fma.f64 (-.f64 y x) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)) 2) (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 2))))))) (#(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 x x (*.f64 (*.f64 (-.f64 y x) 1/2) (-.f64 (*.f64 (-.f64 y x) 1/2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))) (/.f64 1 (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)))))) (#(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 (sqrt.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 y x) 1/2) (-.f64 (*.f64 (-.f64 y x) 1/2) 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 1 (/.f64 (+.f64 (pow.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)) 2) (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 2) (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))) (+.f64 (pow.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)) 2) (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))) (+.f64 (pow.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)) 2) (-.f64 1 (*.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 (-.f64 y x) 1/2) (-.f64 (*.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)) (fma.f64 (pow.f64 (-.f64 y x) 2) 1/4 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (-.f64 y x)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))) (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 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 x x (*.f64 (*.f64 (-.f64 y x) 1/2) (-.f64 (*.f64 (-.f64 y x) 1/2) 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 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)) 2) (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))))) (neg.f64 (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 (-.f64 y x) 1/2 (-.f64 x 1)) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 (-.f64 x 1)) 2) (fma.f64 (-.f64 y x) 1/2 (-.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4) (*.f64 x x)) (-.f64 (*.f64 (-.f64 y x) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 (-.f64 y x) 1/2 (-.f64 x 1)) 2)) (-.f64 1 (fma.f64 (-.f64 y x) 1/2 (-.f64 x 1))))))) (#(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 (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 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 y x) 1/2) (-.f64 (*.f64 (-.f64 y x) 1/2) 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 pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)) 2) (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 2) (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))))) -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 hypot.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2) (fma.f64 (-.f64 y x) 1/2 x))))))) (#(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 expm1.f64 (*.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1))))) (#(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 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 1 (fma.f64 (-.f64 y x) 1/2 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (-.f64 y x) 1/2 (-.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 x) (fma.f64 (-.f64 y x) 1/2 -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 1/2 (-.f64 y x) 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 (fma.f64 (-.f64 y x) 1/2 x) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.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 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1))) 2) (cbrt.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1))) 2) (*.f64 (cbrt.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1))) 1) -1)))) (#(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)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) 2) (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 0)))) (#(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 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1))) (sqrt.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1))) (*.f64 (sqrt.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1))) 1) -1)))) (#(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 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1)) 2) (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3)) (/.f64 1 (fma.f64 (fma.f64 (-.f64 y x) 1/2 x) (fma.f64 (-.f64 y x) 1/2 (-.f64 x 1)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (-.f64 y x) 1/2) (-.f64 (*.f64 (-.f64 y x) 1/2) x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))) (/.f64 1 (+.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)) (/.f64 1 (-.f64 1 (fma.f64 (-.f64 y x) 1/2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (/.f64 1 (-.f64 x (*.f64 (-.f64 y x) 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) (fma.f64 (-.f64 y x) 1/2 -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 (-.f64 x 1))) 2) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 (-.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x)) (fma.f64 (-.f64 y x) 1/2 -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 (-.f64 x 1))) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 (-.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x (fma.f64 (-.f64 y x) 1/2 1))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1) (-.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (-.f64 y x) 2))) (cbrt.f64 (-.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x)) x)))))

simplify18.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
012300
129300
246300
348300
Stop Event
1×saturated
Counts
252 → 116
Calls
Call 1
Inputs
(*.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 (*.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 (*.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))
Outputs
(*.f64 1/2 y)
(+.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 (*.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 (*.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 (*.f64 -1/2 x) x)
(*.f64 1/2 x)
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(*.f64 1/2 y)
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(*.f64 1/2 y)
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(*.f64 1/2 y)
(+.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 (*.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 (*.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 (*.f64 -1/2 x) x)
(*.f64 1/2 x)
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(*.f64 1/2 y)
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(*.f64 1/2 y)
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (+.f64 y x))

eval40.0ms (2%)

Compiler

Compiled 1934 to 1119 computations (42.1% saved)

prune20.0ms (1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1160116
Fresh011
Picked011
Done055
Total1167123
Error
0.0b
Counts
123 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
✓32.1b
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
✓26.6b
(*.f64 1/2 (+.f64 x y))
✓42.1b
(*.f64 x 1/2)
✓33.7b
(-.f64 (+.f64 1 (+.f64 x (*.f64 (-.f64 y x) 1/2))) 1)
56.3b
x
✓46.7b
(*.f64 1/2 y)
Compiler

Compiled 51 to 38 computations (25.5% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done066
Total077
Error
0.0b
Counts
7 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
✓32.1b
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
✓26.6b
(*.f64 1/2 (+.f64 x y))
✓42.1b
(*.f64 x 1/2)
✓33.7b
(-.f64 (+.f64 1 (+.f64 x (*.f64 (-.f64 y x) 1/2))) 1)
56.3b
x
✓46.7b
(*.f64 1/2 y)
Compiler

Compiled 51 to 38 computations (25.5% saved)

regimes23.0ms (1.2%)

Counts
10 → 1
Calls
Call 1
Inputs
x
x
(*.f64 x 1/2)
(*.f64 1/2 y)
(*.f64 1/2 (+.f64 x y))
(-.f64 (+.f64 1 (+.f64 x (*.f64 (-.f64 y x) 1/2))) 1)
(*.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))
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) 1/2) x)
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 74 to 40 computations (45.9% saved)

regimes42.0ms (2.2%)

Counts
8 → 4
Calls
Call 1
Inputs
x
x
(*.f64 x 1/2)
(*.f64 1/2 y)
(*.f64 1/2 (+.f64 x y))
(-.f64 (+.f64 1 (+.f64 x (*.f64 (-.f64 y x) 1/2))) 1)
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
(fma.f64 (-.f64 y x) 1/2 x)
Outputs
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
Calls

2 calls:

25.0ms
x
15.0ms
y
Results
ErrorSegmentsBranch
17.2b4x
19.2b2y
Compiler

Compiled 44 to 26 computations (40.9% saved)

bsearch50.0ms (2.6%)

Algorithm
3×binary-search
Steps
TimeLeftRight
17.0ms
-1.3947860810472575e-53
-7.316468694850264e-54
16.0ms
-108031933248673090.0
-58242120392965520.0
17.0ms
-6.278094753413382e+67
-3.269042766469027e+60
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes12.0ms (0.6%)

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

2 calls:

5.0ms
y
5.0ms
x
Results
ErrorSegmentsBranch
26.6b1x
26.6b1y
Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes29.0ms (1.5%)

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

2 calls:

16.0ms
y
12.0ms
x
Results
ErrorSegmentsBranch
31.6b3x
31.9b4y
Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch34.0ms (1.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
17.0ms
13268111000.88214
4419295797513501.0
17.0ms
-7.316468694850264e-54
-3.509918603396043e-56
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes10.0ms (0.5%)

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

2 calls:

5.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
42.1b1x
42.1b1y
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes7.0ms (0.4%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
x
x
Outputs
x
Calls

2 calls:

3.0ms
x
3.0ms
y
Results
ErrorSegmentsBranch
56.3b1x
56.3b1y
Compiler

Compiled 10 to 6 computations (40% saved)

simplify8.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
03095
14095
24795
35295
45595
55695
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
(if (<=.f64 x -62780947534133821295768086044625454219105829799398414782453637971968) (*.f64 1/2 (+.f64 x y)) (if (<=.f64 x -108031933248673088) (*.f64 1/2 (fabs.f64 (-.f64 y x))) (if (<=.f64 x -3008268668569449/215679573337205118357336120696157045389097155380324579848828881993728) (*.f64 1/2 (+.f64 x y)) (*.f64 1/2 (fabs.f64 (-.f64 y x))))))
(*.f64 1/2 (+.f64 x y))
(if (<=.f64 x -1578012846440323/215679573337205118357336120696157045389097155380324579848828881993728) (*.f64 x 1/2) (if (<=.f64 x 6956311380430495/524288) (*.f64 1/2 y) x))
(*.f64 x 1/2)
x
Outputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
(if (<=.f64 x -62780947534133821295768086044625454219105829799398414782453637971968) (*.f64 1/2 (+.f64 x y)) (if (<=.f64 x -108031933248673088) (*.f64 1/2 (fabs.f64 (-.f64 y x))) (if (<=.f64 x -3008268668569449/215679573337205118357336120696157045389097155380324579848828881993728) (*.f64 1/2 (+.f64 x y)) (*.f64 1/2 (fabs.f64 (-.f64 y x))))))
(if (<=.f64 x -62780947534133821295768086044625454219105829799398414782453637971968) (*.f64 1/2 (+.f64 x y)) (if (<=.f64 x -108031933248673088) (*.f64 (fabs.f64 (-.f64 y x)) 1/2) (if (<=.f64 x -3008268668569449/215679573337205118357336120696157045389097155380324579848828881993728) (*.f64 1/2 (+.f64 x y)) (*.f64 (fabs.f64 (-.f64 y x)) 1/2))))
(*.f64 1/2 (+.f64 x y))
(if (<=.f64 x -1578012846440323/215679573337205118357336120696157045389097155380324579848828881993728) (*.f64 x 1/2) (if (<=.f64 x 6956311380430495/524288) (*.f64 1/2 y) x))
(if (<=.f64 x -1578012846440323/215679573337205118357336120696157045389097155380324579848828881993728) (*.f64 x 1/2) (if (<=.f64 x 6956311380430495/524288) (*.f64 y 1/2) x))
(*.f64 x 1/2)
x
Compiler

Compiled 78 to 52 computations (33.3% saved)

soundness0.0ms (0%)

end47.0ms (2.4%)

Compiler

Compiled 68 to 39 computations (42.6% saved)

Profiling

Loading profile data...