Details

Time bar (total: 9.7s)

analyze36.0ms (0.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%18.7%81.3%0
0%18.7%81.3%1
0%18.7%81.3%2
0%18.7%81.3%3
0%18.7%81.3%4
4.7%14%81.3%5
5.3%13.5%81.3%6
15.8%2.9%81.3%7
15.8%2.9%81.3%8
17.4%1.3%81.3%9
17.4%1.3%81.3%10
18.1%0.6%81.3%11
18.1%0.6%81.3%12
Compiler

Compiled 28 to 17 computations (39.3% saved)

sample1.3s (13.9%)

Results
1.3s8256×body256valid

preprocess161.0ms (1.7%)

Algorithm
2×egg-herbie
Rules
776×fma-def_binary64
587×div-sub_binary64
456×sub-neg_binary64
421×unsub-neg_binary64
365×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01540
14340
210340
325040
457240
5157640
6366840
7486340
8568640
9642340
10717740
11767340
12791240
13792740
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (+.f64 (*.f64 y y) (*.f64 x x)))
Outputs
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (-.f64 x y) (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
(/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (+.f64 (*.f64 y y) (*.f64 x x)))
(/.f64 (-.f64 y x) (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)))
(*.f64 (/.f64 (-.f64 y x) (fma.f64 x x (*.f64 y y))) (+.f64 x y))
(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (fma.f64 x x (*.f64 y y))))
Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify68.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
917×times-frac_binary64
766×fma-def_binary64
481×fma-neg_binary64
473×unsub-neg_binary64
360×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
12420
25820
313920
433020
585820
6207720
7482320
8674320
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Outputs
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (-.f64 x y) (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (*.f64 y y)))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))

eval1.0ms (0%)

Compiler

Compiled 31 to 12 computations (61.3% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
24.3b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶24.8b
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
▶24.8b
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
Compiler

Compiled 33 to 17 computations (48.5% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
✓23.6b
(/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y)))
Compiler

Compiled 43 to 8 computations (81.4% saved)

series8.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite91.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
678×prod-diff_binary64
528×log-prod_binary64
357×fma-def_binary64
273×pow2_binary64
190×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0934
120232
2307532
Stop Event
1×node limit
Counts
2 → 90
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y)))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (/.f64 1 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2)) (/.f64 (+.f64 x y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (hypot.f64 x y)) (/.f64 (cbrt.f64 (+.f64 x y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x y) (neg.f64 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) (*.f64 (neg.f64 y) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) x) (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (hypot.f64 x y) 2) (fma.f64 x x (*.f64 (neg.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (*.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x (*.f64 (neg.f64 y) y))) (neg.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) 1) (*.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (pow.f64 (hypot.f64 x y) 2) (fma.f64 x x (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (neg.f64 (pow.f64 (hypot.f64 x y) 2)) (fma.f64 x x (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (fma.f64 x x (*.f64 (neg.f64 y) y))) (*.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 x y)) (fma.f64 x x (*.f64 (neg.f64 y) y))) (*.f64 (neg.f64 (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 x y)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (+.f64 x y)) (*.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (neg.f64 (+.f64 x y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (neg.f64 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (neg.f64 (+.f64 x y))) (*.f64 (+.f64 x y) (neg.f64 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (hypot.f64 x y)) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) 1) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)) (neg.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (fma.f64 x x (*.f64 (neg.f64 y) y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) (neg.f64 (+.f64 x y))) (neg.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x (*.f64 (neg.f64 y) y))) (hypot.f64 x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 3) (pow.f64 (-.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (fma.f64 x x (*.f64 (neg.f64 y) y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 3) (pow.f64 (-.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (*.f64 (neg.f64 y) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) x (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (neg.f64 y)))))))

simplify82.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
740×times-frac_binary64
498×fma-def_binary64
368×associate-+l+_binary64
311×associate-/l*_binary64
309×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115192
1379192
21423192
36853192
Stop Event
1×node limit
Counts
138 → 117
Calls
Call 1
Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(/.f64 1 x)
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(/.f64 1 y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(/.f64 1 y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(/.f64 1 y)
(/.f64 1 x)
(/.f64 1 y)
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(/.f64 1 y)
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))
(/.f64 1 y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))))
(/.f64 1 y)
(/.f64 1 x)
(/.f64 1 y)
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(/.f64 1 y)
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))
(/.f64 1 y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))))
(/.f64 1 y)
(/.f64 1 x)
(/.f64 1 y)
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(/.f64 1 y)
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))
(/.f64 1 y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))))
(/.f64 1 y)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(/.f64 1 y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(/.f64 1 y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(/.f64 1 y)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(/.f64 1 y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(/.f64 1 y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(/.f64 1 y)
-1
(/.f64 1 y)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(/.f64 1 y)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(/.f64 1 y)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
(/.f64 1 y)
1
(/.f64 1 y)
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(/.f64 1 y)
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 1 y)
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 1 y)
1
(/.f64 1 y)
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(/.f64 1 y)
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
(/.f64 1 y)
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
(/.f64 1 y)
1
(/.f64 1 y)
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(/.f64 1 y)
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(/.f64 1 y)
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(/.f64 1 y)
-1
(/.f64 1 y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
(/.f64 1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(/.f64 1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(/.f64 1 y)
-1
(/.f64 1 y)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1)
(/.f64 1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(/.f64 1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(/.f64 1 y)

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓24.4b
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Compiler

Compiled 45 to 9 computations (80% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite62.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
648×fma-def_binary64
641×log-prod_binary64
318×pow2_binary64
273×fma-neg_binary64
221×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01020
123719
2393419
Stop Event
1×node limit
Counts
1 → 51
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))) (/.f64 y (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (*.f64 (+.f64 x y) (/.f64 1 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 1 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 1 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y))) 2) (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 1 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (hypot.f64 x y)) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x y) (neg.f64 (-.f64 x y))) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (hypot.f64 x y) 2)) (-.f64 (*.f64 x x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) 1) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) 1) (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 1) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2)) (/.f64 (+.f64 x y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2)) (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2)) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2)) (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2)) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (-.f64 x y) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 x y)) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) (hypot.f64 x y)) (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4))) (-.f64 (*.f64 x x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (hypot.f64 x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 (*.f64 x x) (*.f64 y y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 3) (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 (*.f64 x x) (*.f64 y y))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (neg.f64 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 3) (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y))) 1))))))

simplify53.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
894×fma-neg_binary64
533×times-frac_binary64
524×cancel-sign-sub-inv_binary64
425×fma-def_binary64
329×associate-+l+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09424
132324
2122824
3581024
Stop Event
1×node limit
Counts
75 → 70
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
Outputs
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
-1
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
-1
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
-1
1
-1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
-1
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
-1
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
-1
1
-1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
-1
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
-1
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
-1
1
-1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
-1
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
-1
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
-1
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1

eval96.0ms (1%)

Compiler

Compiled 3831 to 1816 computations (52.6% saved)

prune63.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1816187
Fresh000
Picked011
Done101
Total1827189
Error
0.0b
Counts
189 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
20.1b
-1
✓24.8b
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
43.8b
1
▶43.9b
(*.f64 (-.f64 x y) (/.f64 1 x))
▶0.0b
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
▶31.8b
(*.f64 (-.f64 x y) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) 2))
▶0.2b
(*.f64 (-.f64 x y) (*.f64 (/.f64 1 (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))))
Compiler

Compiled 84 to 49 computations (41.7% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (hypot.f64 x y))
✓0.0b
(/.f64 (+.f64 x y) (hypot.f64 x y))
✓0.0b
(*.f64 (/.f64 1 (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
✓0.2b
(*.f64 (-.f64 x y) (*.f64 (/.f64 1 (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))))
Compiler

Compiled 56 to 16 computations (71.4% saved)

series47.0ms (0.5%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
34.0ms
x
@0
(*.f64 (-.f64 x y) (*.f64 (/.f64 1 (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))))
2.0ms
x
@inf
(/.f64 1 (hypot.f64 x y))
1.0ms
y
@0
(*.f64 (-.f64 x y) (*.f64 (/.f64 1 (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))))
1.0ms
y
@inf
(/.f64 1 (hypot.f64 x y))
1.0ms
y
@inf
(*.f64 (-.f64 x y) (*.f64 (/.f64 1 (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))))

rewrite139.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
644×log-prod_binary64
632×prod-diff_binary64
277×fma-def_binary64
224×pow1/3_binary64
221×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01155
124449
2361049
Stop Event
1×node limit
Counts
4 → 185
Calls
Call 1
Inputs
(*.f64 (-.f64 x y) (*.f64 (/.f64 1 (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))))
(*.f64 (/.f64 1 (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(/.f64 (+.f64 x y) (hypot.f64 x y))
(/.f64 1 (hypot.f64 x y))
Outputs
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y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (/.f64 1 (hypot.f64 x y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 1 (hypot.f64 x y)) 3) (pow.f64 (+.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x y) (neg.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (hypot.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (/.f64 1 (hypot.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (hypot.f64 x y)) 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (hypot.f64 x y)) (*.f64 y (/.f64 1 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1 (hypot.f64 x y)) (*.f64 x (/.f64 1 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (hypot.f64 x y)) x (*.f64 (/.f64 1 (hypot.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (hypot.f64 x y)) y (*.f64 (/.f64 1 (hypot.f64 x y)) x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (hypot.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 1 (hypot.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (hypot.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (hypot.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (hypot.f64 x y))) (cbrt.f64 (pow.f64 (hypot.f64 x y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) -2)) (cbrt.f64 (/.f64 1 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x y) -1/2) (pow.f64 (hypot.f64 x y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (cbrt.f64 (/.f64 1 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (hypot.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x y) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (hypot.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (hypot.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x y) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (hypot.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (hypot.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (hypot.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 x y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 x y))) 1))))))

simplify68.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
811×associate-/l*_binary64
660×associate-/r*_binary64
584×associate-*r*_binary64
523×associate-*l*_binary64
318×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02442120
17851966
228611834
Stop Event
1×node limit
Counts
281 → 282
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(/.f64 1 x)
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
1
(+.f64 1 (/.f64 x y))
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
-1
(-.f64 (*.f64 -1 (/.f64 y x)) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) 1)
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
1
(+.f64 1 (/.f64 x y))
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
-1
(-.f64 (*.f64 -1 (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))) 1)
(/.f64 1 y)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (/.f64 1 y))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (*.f64 3/8 (/.f64 (pow.f64 x 4) (pow.f64 y 5)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (*.f64 3/8 (/.f64 (pow.f64 x 4) (pow.f64 y 5))) (*.f64 -5/16 (/.f64 (pow.f64 x 6) (pow.f64 y 7))))))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 y 4)) (*.f64 -1/4 (pow.f64 y 4))) (pow.f64 x 5))) (/.f64 1 x)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 y 4)) (*.f64 -1/4 (pow.f64 y 4))) (pow.f64 x 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 y 6)) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 y 4)) (*.f64 -1/4 (pow.f64 y 4))) (pow.f64 y 2)))) (pow.f64 x 7))) (/.f64 1 x))))
(/.f64 -1 x)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 5))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 5))) (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 5))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 y 4)) (*.f64 -1/4 (pow.f64 y 4))) (pow.f64 y 2)) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (*.f64 1/8 (/.f64 (pow.f64 y 6) (pow.f64 x 7))))))) (/.f64 1 x))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 3/8 (/.f64 (pow.f64 y 4) (pow.f64 x 5))) (/.f64 1 x)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 -5/16 (/.f64 (pow.f64 y 6) (pow.f64 x 7))) (+.f64 (*.f64 3/8 (/.f64 (pow.f64 y 4) (pow.f64 x 5))) (/.f64 1 x))))
(/.f64 1 y)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (/.f64 1 y))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))) (pow.f64 y 5)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))) (pow.f64 y 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 6)) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))) (pow.f64 x 2)))) (pow.f64 y 7))))))
(/.f64 -1 y)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (/.f64 1 y))
(-.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 5))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 5))))) (/.f64 1 y))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 6) (pow.f64 y 7))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 5))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))) (pow.f64 x 2)) (pow.f64 y 7))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 5))))))) (/.f64 1 y))
Outputs
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(+.f64 (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(fma.f64 2 (/.f64 (/.f64 x (/.f64 y x)) y) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
(+.f64 (fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) -1)
(fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)))
(fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (/.f64 (/.f64 x (/.f64 y x)) y) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (neg.f64 y) x)))
(+.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))
(+.f64 1 (*.f64 0 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 y x)))) (/.f64 (*.f64 y y) (*.f64 x x))))
(+.f64 (/.f64 y x) (-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (+.f64 1 (*.f64 0 (/.f64 y x))) (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 y x)))) (/.f64 (*.f64 y y) (*.f64 x x))))
(+.f64 (/.f64 y x) (-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (+.f64 1 (*.f64 0 (/.f64 y x))) (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x))))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (neg.f64 y) x)))
(+.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))
(+.f64 1 (*.f64 0 (/.f64 y x)))
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(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 y x)))) (/.f64 (*.f64 y y) (*.f64 x x))))
(+.f64 (/.f64 y x) (-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (+.f64 1 (*.f64 0 (/.f64 y x))) (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 y x)))) (/.f64 (*.f64 y y) (*.f64 x x))))
(+.f64 (/.f64 y x) (-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (+.f64 1 (*.f64 0 (/.f64 y x))) (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x))))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x)))
(fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 (*.f64 (*.f64 y y) -2) (*.f64 x x))))
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(+.f64 1 (fma.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(+.f64 1 (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 (*.f64 -2 (pow.f64 y 6)) (pow.f64 x 6)))))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 0 (/.f64 x y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 -1 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))))
(+.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (/.f64 x (/.f64 y x)) y)) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 0 (/.f64 x y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 -1 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))))
(+.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (/.f64 x (/.f64 y x)) y)) -1)
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 0 (/.f64 x y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 -1 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))))
(+.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (/.f64 x (/.f64 y x)) y)) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 0 (/.f64 x y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 -1 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))))
(+.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (/.f64 x (/.f64 y x)) y)) -1)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(fma.f64 -1 (/.f64 (*.f64 x x) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 x (/.f64 (pow.f64 y 3) x)))
(+.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 1 y) (*.f64 (/.f64 x (pow.f64 y 3)) x)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(fma.f64 -1 (/.f64 (*.f64 x x) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(-.f64 (+.f64 (/.f64 1 y) (-.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))) (/.f64 x (/.f64 (pow.f64 y 3) x)))
(+.f64 (/.f64 1 y) (-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (*.f64 (/.f64 x (pow.f64 y 3)) x)))
(/.f64 1 x)
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 y (*.f64 x x)))
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (/.f64 y (*.f64 x x)) (fma.f64 -1 (/.f64 (*.f64 y y) (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 y (*.f64 x x)) (/.f64 y (/.f64 (pow.f64 x 3) y))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 y (*.f64 x x)) (*.f64 (/.f64 y (pow.f64 x 3)) y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))))
(fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (/.f64 y (*.f64 x x)) (fma.f64 -1 (/.f64 (*.f64 y y) (pow.f64 x 3)) (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 y (*.f64 x x)) (/.f64 y (/.f64 (pow.f64 x 3) y)))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(+.f64 (/.f64 y (*.f64 x x)) (-.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 y (pow.f64 x 3)) y)) (/.f64 (pow.f64 y 3) (pow.f64 x 4))))
(/.f64 1 x)
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 y (*.f64 x x)))
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (/.f64 y (*.f64 x x)) (fma.f64 -1 (/.f64 (*.f64 y y) (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 y (*.f64 x x)) (/.f64 y (/.f64 (pow.f64 x 3) y))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 y (*.f64 x x)) (*.f64 (/.f64 y (pow.f64 x 3)) y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))))
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(fma.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) -1/2 (/.f64 1 x))
(fma.f64 (*.f64 (/.f64 y (pow.f64 x 3)) y) -1/2 (/.f64 1 x))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 3/8 (/.f64 (pow.f64 y 4) (pow.f64 x 5))) (/.f64 1 x)))
(fma.f64 -1/2 (/.f64 (*.f64 y y) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 y 4) -3/8) (pow.f64 x 5)) (/.f64 1 x)))
(fma.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) -1/2 (-.f64 (/.f64 1 x) (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 5) -3/8))))
(fma.f64 (*.f64 (/.f64 y (pow.f64 x 3)) y) -1/2 (fma.f64 3/8 (/.f64 (pow.f64 y 4) (pow.f64 x 5)) (/.f64 1 x)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 -5/16 (/.f64 (pow.f64 y 6) (pow.f64 x 7))) (+.f64 (*.f64 3/8 (/.f64 (pow.f64 y 4) (pow.f64 x 5))) (/.f64 1 x))))
(fma.f64 -1/2 (/.f64 (*.f64 y y) (pow.f64 x 3)) (fma.f64 -5/16 (/.f64 (pow.f64 y 6) (pow.f64 x 7)) (fma.f64 3/8 (/.f64 (pow.f64 y 4) (pow.f64 x 5)) (/.f64 1 x))))
(fma.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) -1/2 (fma.f64 -5/16 (/.f64 (pow.f64 y 6) (pow.f64 x 7)) (fma.f64 3/8 (/.f64 (pow.f64 y 4) (pow.f64 x 5)) (/.f64 1 x))))
(fma.f64 (*.f64 (/.f64 y (pow.f64 x 3)) y) -1/2 (fma.f64 -5/16 (/.f64 (pow.f64 y 6) (pow.f64 x 7)) (fma.f64 3/8 (/.f64 (pow.f64 y 4) (pow.f64 x 5)) (/.f64 1 x))))
(/.f64 1 y)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (/.f64 1 y))
(fma.f64 -1/2 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 1 y))
(fma.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) -1/2 (/.f64 1 y))
(fma.f64 (*.f64 (/.f64 x (pow.f64 y 3)) x) -1/2 (/.f64 1 y))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))) (pow.f64 y 5)))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 1 y)) (*.f64 3/8 (/.f64 (pow.f64 x 4) (pow.f64 y 5))))
(fma.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) -1/2 (fma.f64 3/8 (/.f64 (pow.f64 x 4) (pow.f64 y 5)) (/.f64 1 y)))
(fma.f64 (*.f64 (/.f64 x (pow.f64 y 3)) x) -1/2 (fma.f64 3/8 (/.f64 (pow.f64 x 4) (pow.f64 y 5)) (/.f64 1 y)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))) (pow.f64 y 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 6)) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))) (pow.f64 x 2)))) (pow.f64 y 7))))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 1 y)) (*.f64 -1 (+.f64 (/.f64 (*.f64 (pow.f64 x 4) -3/8) (pow.f64 y 5)) (/.f64 (fma.f64 1/8 (pow.f64 x 6) (*.f64 -1/2 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -3/8)))) (pow.f64 y 7)))))
(fma.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) -1/2 (-.f64 (-.f64 (/.f64 1 y) (/.f64 (*.f64 (pow.f64 x 4) -3/8) (pow.f64 y 5))) (/.f64 (fma.f64 (pow.f64 x 6) 1/8 (*.f64 -1/2 (*.f64 (pow.f64 x 6) -3/8))) (pow.f64 y 7))))
(-.f64 (fma.f64 (*.f64 (/.f64 x (pow.f64 y 3)) x) -1/2 (fma.f64 3/8 (/.f64 (pow.f64 x 4) (pow.f64 y 5)) (/.f64 1 y))) (/.f64 (fma.f64 (pow.f64 x 6) 1/8 (*.f64 (pow.f64 x 6) 3/16)) (pow.f64 y 7)))
(/.f64 -1 y)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (/.f64 1 y))
(-.f64 (*.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) 1/2) (/.f64 1 y))
(fma.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) 1/2 (/.f64 -1 y))
(fma.f64 (*.f64 (/.f64 x (pow.f64 y 3)) x) 1/2 (/.f64 -1 y))
(-.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 5))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 5))))) (/.f64 1 y))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 5)) (fma.f64 1/2 (/.f64 (*.f64 x x) (pow.f64 y 3)) (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 5)) -1/8))) (/.f64 1 y))
(+.f64 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 5)) -1/4 (fma.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) 1/2 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 5)) -1/8))) (/.f64 -1 y))
(+.f64 (+.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 5)) -3/8) (*.f64 (/.f64 1/2 (pow.f64 y 3)) (*.f64 x x))) (/.f64 -1 y))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 6) (pow.f64 y 7))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 5))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))) (pow.f64 x 2)) (pow.f64 y 7))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 5))))))) (/.f64 1 y))
(-.f64 (fma.f64 1/8 (/.f64 (pow.f64 x 6) (pow.f64 y 7)) (fma.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 5)) (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 x 4) -3/8) (/.f64 (pow.f64 y 7) (*.f64 x x))) (fma.f64 1/2 (/.f64 (*.f64 x x) (pow.f64 y 3)) (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 5)) -1/8))))) (/.f64 1 y))
(+.f64 (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 7)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 5)) -1/4 (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 x 6) -3/8) (pow.f64 y 7)) (fma.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) 1/2 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 5)) -1/8))))) (/.f64 -1 y))
(+.f64 (+.f64 (+.f64 (*.f64 (/.f64 1/2 (pow.f64 y 3)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 x 6) 3/16) (pow.f64 y 7))) (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 5)) -3/8)) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 7)) 1/8 (/.f64 -1 y)))

localize38.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiled 18 to 9 computations (50% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite73.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
824×pow1_binary64
768×add-log-exp_binary64
768×log1p-expm1-u_binary64
768×expm1-log1p-u_binary64
752×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11527
221047
Stop Event
1×node limit
Counts
1 → 39
Calls
Call 1
Inputs
(*.f64 (-.f64 x y) (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1 x)) (*.f64 (neg.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) x) (*.f64 (/.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 x y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 x (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 x y)) (/.f64 x (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 (+.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) -1) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) -1) (*.f64 (+.f64 x y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (neg.f64 x) (fma.f64 x x (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (neg.f64 x) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 x)) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 x)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 x y) 3) (/.f64 (pow.f64 x -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (-.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) x)))))))

simplify17.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
20×fma-def_binary64
12×sub-neg_binary64
6×+-commutative_binary64
4×*-commutative_binary64
4×associate-+l-_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08183
115147
224147
333147
444147
559147
674147
791147
8102147
9116147
Stop Event
1×saturated
Counts
63 → 44
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
Outputs
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(hypot.f64 x y)
✓0.1b
(*.f64 (-.f64 x y) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) 2))
✓0.1b
(/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y))
✓0.3b
(pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) 2)
Compiler

Compiled 50 to 13 computations (74% saved)

series18.0ms (0.2%)

Counts
4 → 64
Calls

24 calls:

TimeVariablePointExpression
3.0ms
x
@0
(pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) 2)
2.0ms
x
@inf
(pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) 2)
2.0ms
y
@inf
(pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) 2)
1.0ms
y
@0
(pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) 2)
1.0ms
y
@-inf
(pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) 2)

rewrite89.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
629×prod-diff_binary64
575×log-prod_binary64
309×pow2_binary64
270×fma-def_binary64
215×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01152
124548
2327448
Stop Event
1×node limit
Counts
4 → 130
Calls
Call 1
Inputs
(pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) 2)
(/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y))
(*.f64 (-.f64 x y) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) 2))
(hypot.f64 x y)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) (*.f64 (neg.f64 y) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) x) (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) (fma.f64 y (+.f64 x y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (+.f64 x y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) (sqrt.f64 (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 3) (pow.f64 (-.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 3) (pow.f64 (-.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (*.f64 (neg.f64 y) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) x (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (neg.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 x y)) (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) (cbrt.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 x y)) (sqrt.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 x y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 x y)) 1))))))

simplify69.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
785×times-frac_binary64
710×associate-*r*_binary64
640×associate-*l*_binary64
444×associate-/r*_binary64
374×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02301636
17251503
226531412
Stop Event
1×node limit
Counts
194 → 216
Calls
Call 1
Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (sqrt.f64 (/.f64 1 y))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3))))) (pow.f64 x 2))))
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 y 5))))))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (*.f64 2 (*.f64 (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 y 7)))) (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 7))))) (sqrt.f64 (/.f64 1 y)))))) (pow.f64 x 3)) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (sqrt.f64 (/.f64 1 y))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3))))) (pow.f64 x 2)))))
(/.f64 1 x)
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (*.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (sqrt.f64 (/.f64 1 x)))))) (/.f64 1 x)))
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (*.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (sqrt.f64 (/.f64 1 x)))))) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))) (sqrt.f64 (/.f64 1 x)))) (*.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (pow.f64 y 3)) (/.f64 1 x))))
(sqrt.f64 (/.f64 1 y))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)) (sqrt.f64 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)) (+.f64 (*.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 y))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)) (+.f64 (*.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 7)))) (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 y 7))))) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 y)))))
(sqrt.f64 (/.f64 1 x))
(+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (pow.f64 y 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (pow.f64 y 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
y
(+.f64 y (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 y (*.f64 1/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 y (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) y)) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5))))))
x
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) x))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) x)))
(*.f64 -1 x)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (*.f64 -1 x))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 -1 x) (*.f64 -1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5))))))
x
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) x))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) x)))
y
(+.f64 y (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 y (*.f64 1/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 y (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) y)) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5))))))
(*.f64 -1 y)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 y))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 y) (*.f64 1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5))) (+.f64 (*.f64 -1 y) (*.f64 1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (sqrt.f64 (/.f64 1 y))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3))))) (pow.f64 x 2))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 x (*.f64 y y)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) -5/8) (sqrt.f64 (/.f64 1 y)) (fma.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) -5/8) (/.f64 1/4 (pow.f64 y 3)))) (*.f64 x x))))
(+.f64 (/.f64 1 y) (fma.f64 (+.f64 (/.f64 1/4 (pow.f64 y 3)) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (*.f64 -5/8 (sqrt.f64 (/.f64 1 y)))))) (*.f64 x x) (/.f64 x (*.f64 y y))))
(+.f64 (/.f64 1 y) (fma.f64 (+.f64 (/.f64 1/4 (pow.f64 y 3)) (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) -5/4))) (*.f64 x x) (/.f64 x (*.f64 y y))))
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 y 5))))))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (*.f64 2 (*.f64 (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 y 7)))) (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 7))))) (sqrt.f64 (/.f64 1 y)))))) (pow.f64 x 3)) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (sqrt.f64 (/.f64 1 y))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3))))) (pow.f64 x 2)))))
(fma.f64 (fma.f64 1/2 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) -5/8) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (fma.f64 1/2 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) -5/8) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 7))) -3/16))))) (pow.f64 x 3) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (*.f64 y y)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) -5/8) (sqrt.f64 (/.f64 1 y)) (fma.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) -5/8) (/.f64 1/4 (pow.f64 y 3)))) (*.f64 x x)))))
(+.f64 (fma.f64 (+.f64 (/.f64 1/4 (pow.f64 y 3)) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (*.f64 -5/8 (sqrt.f64 (/.f64 1 y)))))) (*.f64 x x) (/.f64 x (*.f64 y y))) (fma.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 7))) -3/16))) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (*.f64 -5/8 (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) 1)) (pow.f64 x 3) (/.f64 1 y)))
(+.f64 (fma.f64 (+.f64 (/.f64 1/4 (pow.f64 y 3)) (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) -5/4))) (*.f64 x x) (/.f64 x (*.f64 y y))) (fma.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (*.f64 -5/8 (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 7))) -3/8))) (pow.f64 x 3) (/.f64 1 y)))
(/.f64 1 x)
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 y (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x))
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (*.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (sqrt.f64 (/.f64 1 x)))))) (/.f64 1 x)))
(+.f64 (/.f64 y (*.f64 x x)) (fma.f64 (*.f64 y y) (+.f64 (/.f64 1/4 (pow.f64 x 3)) (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -5/8) (sqrt.f64 (/.f64 1 x))))) (/.f64 1 x)))
(+.f64 (/.f64 y (*.f64 x x)) (fma.f64 (*.f64 y y) (fma.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 -5/8 (sqrt.f64 (/.f64 1 x)))) (/.f64 1/4 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (/.f64 (/.f64 y x) x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -5/4) (sqrt.f64 (/.f64 1 x)) (/.f64 1/4 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (*.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (sqrt.f64 (/.f64 1 x)))))) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))) (sqrt.f64 (/.f64 1 x)))) (*.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (pow.f64 y 3)) (/.f64 1 x))))
(+.f64 (/.f64 y (*.f64 x x)) (fma.f64 (*.f64 y y) (+.f64 (/.f64 1/4 (pow.f64 x 3)) (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -5/8) (sqrt.f64 (/.f64 1 x))))) (fma.f64 (fma.f64 2 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) -3/16)) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -5/8) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (pow.f64 y 3) (/.f64 1 x))))
(+.f64 (/.f64 y (*.f64 x x)) (fma.f64 (*.f64 y y) (fma.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 -5/8 (sqrt.f64 (/.f64 1 x)))) (/.f64 1/4 (pow.f64 x 3))) (fma.f64 (pow.f64 y 3) (fma.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (*.f64 -3/16 (sqrt.f64 (/.f64 1 x)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 -5/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (/.f64 1 x))))
(+.f64 (/.f64 (/.f64 y x) x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -5/4) (sqrt.f64 (/.f64 1 x)) (/.f64 1/4 (pow.f64 x 3))) (fma.f64 (pow.f64 y 3) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) -3/8) (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 -5/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (/.f64 1 x))))
(sqrt.f64 (/.f64 1 y))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)) (sqrt.f64 (/.f64 1 y)))
(fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (sqrt.f64 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)) (+.f64 (*.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 y))))
(fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) -5/8) (*.f64 x x) (sqrt.f64 (/.f64 1 y))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)) (+.f64 (*.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 7)))) (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 y 7))))) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 y)))))
(fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) -5/8) (*.f64 x x) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 7))) -3/16) (pow.f64 x 3) (sqrt.f64 (/.f64 1 y)))))
(fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) -5/8) (*.f64 x x) (fma.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 7))) -3/16) (sqrt.f64 (/.f64 1 y)))))
(sqrt.f64 (/.f64 1 x))
(+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(fma.f64 (*.f64 y 1/2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 x)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (pow.f64 y 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -5/8) (*.f64 y y) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(fma.f64 (*.f64 y y) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -5/8) (fma.f64 (*.f64 y 1/2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 x))))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (pow.f64 y 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))
(fma.f64 (pow.f64 y 3) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) -3/16) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -5/8) (*.f64 y y) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))
(fma.f64 (pow.f64 y 3) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) -3/16) (fma.f64 (*.f64 y y) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -5/8) (fma.f64 (*.f64 y 1/2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 x)))))
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 2 (*.f64 (/.f64 x (*.f64 y y)) x) -1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(+.f64 (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(fma.f64 2 (*.f64 (/.f64 x (*.f64 y y)) x) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
(+.f64 (fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) -1)
(fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)))
(fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (*.f64 (/.f64 x (*.f64 y y)) x) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (neg.f64 y) x)))
(+.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))
(+.f64 1 (*.f64 0 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x))) (/.f64 (*.f64 y y) (*.f64 x x))))
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (+.f64 1 (*.f64 0 (/.f64 y x))) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x))) (/.f64 (*.f64 y y) (*.f64 x x))))
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (+.f64 1 (*.f64 0 (/.f64 y x))) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (neg.f64 y) x)))
(+.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))
(+.f64 1 (*.f64 0 (/.f64 y x)))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x))) (/.f64 (*.f64 y y) (*.f64 x x))))
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (+.f64 1 (*.f64 0 (/.f64 y x))) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x))) (/.f64 (*.f64 y y) (*.f64 x x))))
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (+.f64 1 (*.f64 0 (/.f64 y x))) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (*.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x))))
(fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)
(fma.f64 -2 (*.f64 (/.f64 (/.f64 y x) x) y) 1)
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))))
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(+.f64 1 (fma.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(+.f64 1 (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 (/.f64 y x) x) y) 1) (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 0 (/.f64 x y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 -1 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))))
(+.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 x (*.f64 y y)) x)) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 0 (/.f64 x y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 -1 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))))
(+.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 x (*.f64 y y)) x)) -1)
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 0 (/.f64 x y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 -1 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))))
(+.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 x (*.f64 y y)) x)) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 0 (/.f64 x y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 -1 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))))
(+.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 x (*.f64 y y)) x)) -1)
y
(+.f64 y (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 y (*.f64 1/2 (/.f64 (*.f64 x x) y)))
(fma.f64 1/2 (/.f64 x (/.f64 y x)) y)
(fma.f64 1/2 (*.f64 (/.f64 x y) x) y)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 y (*.f64 1/2 (/.f64 (pow.f64 x 2) y))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (+.f64 y (*.f64 1/2 (/.f64 (*.f64 x x) y))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 x (/.f64 y x)) y))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 1/2 (*.f64 (/.f64 x y) x) y))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 y (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) y)) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (+.f64 y (fma.f64 1/2 (/.f64 (*.f64 x x) y) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5))))))
(+.f64 (fma.f64 1/2 (/.f64 x (/.f64 y x)) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5)))) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) y))
(+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 1/2 (*.f64 (/.f64 x y) x) y)) (/.f64 1/16 (/.f64 (pow.f64 y 5) (pow.f64 x 6))))
x
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) x)
(fma.f64 1/2 (/.f64 (*.f64 y y) x) x)
(fma.f64 1/2 (/.f64 y (/.f64 x y)) x)
(fma.f64 1/2 (*.f64 (/.f64 y x) y) x)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) x))
(fma.f64 1/2 (/.f64 (*.f64 y y) x) (fma.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) x))
(fma.f64 1/2 (/.f64 y (/.f64 x y)) (fma.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) x))
(fma.f64 1/2 (*.f64 (/.f64 y x) y) (fma.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) x))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) x)))
(fma.f64 1/2 (/.f64 (*.f64 y y) x) (fma.f64 1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5)) (fma.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) x)))
(fma.f64 1/2 (/.f64 y (/.f64 x y)) (fma.f64 1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5)) (fma.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) x)))
(fma.f64 1/2 (*.f64 (/.f64 y x) y) (fma.f64 1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5)) (fma.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) x)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (*.f64 -1 x))
(fma.f64 -1/2 (/.f64 (*.f64 y y) x) (neg.f64 x))
(-.f64 (*.f64 -1/2 (/.f64 y (/.f64 x y))) x)
(-.f64 (*.f64 -1/2 (*.f64 (/.f64 y x) y)) x)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (*.f64 -1 x)))
(fma.f64 -1/2 (/.f64 (*.f64 y y) x) (fma.f64 1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (neg.f64 x)))
(-.f64 (fma.f64 -1/2 (/.f64 y (/.f64 x y)) (*.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) 1/8)) x)
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y x) y) (*.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) 1/8)) x)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 -1 x) (*.f64 -1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5))))))
(fma.f64 -1/2 (/.f64 (*.f64 y y) x) (fma.f64 1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 -1 x (*.f64 (/.f64 (pow.f64 y 6) (pow.f64 x 5)) -1/16))))
(fma.f64 -1/2 (/.f64 y (/.f64 x y)) (fma.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) 1/8 (-.f64 (*.f64 (/.f64 (pow.f64 y 6) (pow.f64 x 5)) -1/16) x)))
(fma.f64 -1/2 (*.f64 (/.f64 y x) y) (fma.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) 1/8 (-.f64 (*.f64 (/.f64 (pow.f64 y 6) (pow.f64 x 5)) -1/16) x)))
x
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) x)
(fma.f64 1/2 (/.f64 (*.f64 y y) x) x)
(fma.f64 1/2 (/.f64 y (/.f64 x y)) x)
(fma.f64 1/2 (*.f64 (/.f64 y x) y) x)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) x))
(fma.f64 1/2 (/.f64 (*.f64 y y) x) (fma.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) x))
(fma.f64 1/2 (/.f64 y (/.f64 x y)) (fma.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) x))
(fma.f64 1/2 (*.f64 (/.f64 y x) y) (fma.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) x))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) x)))
(fma.f64 1/2 (/.f64 (*.f64 y y) x) (fma.f64 1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5)) (fma.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) x)))
(fma.f64 1/2 (/.f64 y (/.f64 x y)) (fma.f64 1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5)) (fma.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) x)))
(fma.f64 1/2 (*.f64 (/.f64 y x) y) (fma.f64 1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5)) (fma.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) x)))
y
(+.f64 y (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 y (*.f64 1/2 (/.f64 (*.f64 x x) y)))
(fma.f64 1/2 (/.f64 x (/.f64 y x)) y)
(fma.f64 1/2 (*.f64 (/.f64 x y) x) y)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 y (*.f64 1/2 (/.f64 (pow.f64 x 2) y))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (+.f64 y (*.f64 1/2 (/.f64 (*.f64 x x) y))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 x (/.f64 y x)) y))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 1/2 (*.f64 (/.f64 x y) x) y))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 y (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) y)) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (+.f64 y (fma.f64 1/2 (/.f64 (*.f64 x x) y) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5))))))
(+.f64 (fma.f64 1/2 (/.f64 x (/.f64 y x)) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5)))) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) y))
(+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 1/2 (*.f64 (/.f64 x y) x) y)) (/.f64 1/16 (/.f64 (pow.f64 y 5) (pow.f64 x 6))))
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 y))
(fma.f64 -1/2 (/.f64 (*.f64 x x) y) (neg.f64 y))
(-.f64 (/.f64 (*.f64 -1/2 (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 -1/2 y) (*.f64 x x)) y)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 y) (*.f64 1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(fma.f64 -1/2 (/.f64 (*.f64 x x) y) (fma.f64 -1 y (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) 1/8)))
(fma.f64 -1/2 (/.f64 x (/.f64 y x)) (-.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) 1/8) y))
(fma.f64 -1/2 (*.f64 (/.f64 x y) x) (-.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) 1/8) y))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5))) (+.f64 (*.f64 -1 y) (*.f64 1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(fma.f64 -1/2 (/.f64 (*.f64 x x) y) (fma.f64 -1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5)) (fma.f64 -1 y (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) 1/8))))
(fma.f64 -1/2 (/.f64 x (/.f64 y x)) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 5)) -1/16 (-.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) 1/8) y)))
(fma.f64 -1/2 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 5)) -1/16 (-.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) 1/8) y)))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 42 to 8 computations (81% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
y
@0
(/.f64 (-.f64 x y) (hypot.f64 x y))
0.0ms
x
@0
(/.f64 (-.f64 x y) (hypot.f64 x y))
0.0ms
x
@-inf
(/.f64 (-.f64 x y) (hypot.f64 x y))
0.0ms
x
@0
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
0.0ms
x
@inf
(/.f64 (-.f64 x y) (hypot.f64 x y))

rewrite127.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
805×prod-diff_binary64
622×log-prod_binary64
299×fma-def_binary64
267×log-div_binary64
200×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0932
121429
2352929
Stop Event
1×node limit
Counts
2 → 223
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(/.f64 (-.f64 x y) (hypot.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (*.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (/.f64 (hypot.f64 x y) (/.f64 (+.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x y) (*.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify67.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
783×times-frac_binary64
590×fma-def_binary64
389×associate-/r*_binary64
381×associate-+l+_binary64
347×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0127906
1429836
21604722
37768710
Stop Event
1×node limit
Counts
271 → 275
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (+.f64 (/.f64 x y) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
-1
(-.f64 (/.f64 y x) 1)
(-.f64 (+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))) 1)
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (+.f64 (/.f64 x y) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
Outputs
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (/.f64 x (/.f64 (*.f64 y y) x)) -1)
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(+.f64 (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) -1)
(fma.f64 2 (/.f64 x (/.f64 (*.f64 y y) x)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(fma.f64 2 (*.f64 (/.f64 x (*.f64 y y)) x) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(fma.f64 2 (*.f64 (/.f64 x (*.f64 y y)) x) (fma.f64 -2 (pow.f64 (/.f64 x y) 4) -1))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
(+.f64 (fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) -1)
(fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (/.f64 x (/.f64 (*.f64 y y) x)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)))
(fma.f64 2 (+.f64 (*.f64 (/.f64 x (*.f64 y y)) x) (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(fma.f64 2 (+.f64 (*.f64 (/.f64 x (*.f64 y y)) x) (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (fma.f64 -2 (pow.f64 (/.f64 x y) 4) -1))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
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(+.f64 1 (*.f64 0 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (+.f64 (/.f64 y x) 1) (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x))) (/.f64 (*.f64 y y) (*.f64 x x)))
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(-.f64 (+.f64 (+.f64 (/.f64 y x) 1) (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x))) (/.f64 (*.f64 y y) (*.f64 x x)))
(+.f64 (-.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 y y) x) x)) (/.f64 y x)) (-.f64 (/.f64 y x) (/.f64 (/.f64 (*.f64 y y) x) x)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (*.f64 0 (/.f64 y x)))
1
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(-.f64 (+.f64 (+.f64 (/.f64 y x) 1) (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x))) (/.f64 (*.f64 y y) (*.f64 x x)))
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(+.f64 (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (*.f64 0 (/.f64 y x)))
1
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(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(fma.f64 2 (pow.f64 (/.f64 y x) 4) (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
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(+.f64 (fma.f64 -2 (/.f64 (/.f64 (*.f64 y y) x) x) 1) (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 -2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(+.f64 1 (fma.f64 2 (pow.f64 (/.f64 y x) 4) (*.f64 -2 (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 0 (/.f64 x y))) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1))
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (-.f64 -1 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))))
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(-.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 0 (/.f64 x y))) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1))
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(+.f64 -1 (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 x (*.f64 y y)) x)))
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 0 (/.f64 x y))) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1))
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (-.f64 -1 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))))
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(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 0 (/.f64 x y))) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1))
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (-.f64 -1 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))))
(+.f64 -1 (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 x (*.f64 y y)) x)))
-1
(-.f64 (/.f64 x y) 1)
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(-.f64 (+.f64 (/.f64 x y) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(+.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/2) 1))
(+.f64 (/.f64 x y) (fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/2 -1))
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(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
(+.f64 (/.f64 x y) (-.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 -1/2 (pow.f64 x 3)) (pow.f64 y 3))) 1))
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(+.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 y y)) x) 1/2 (/.f64 x y)) (fma.f64 -1/2 (pow.f64 (/.f64 x y) 3) -1))
1
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(fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (+.f64 1 (/.f64 (neg.f64 y) x)))
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(fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 (neg.f64 y) x))))
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(-.f64 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -1/2 (fma.f64 1/2 (pow.f64 (/.f64 y x) 3) 1)) (/.f64 y x))
-1
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1
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-1
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(+.f64 -1 (/.f64 x y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(+.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/2) 1))
(+.f64 (/.f64 x y) (fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/2 -1))
(+.f64 -1 (fma.f64 (*.f64 (/.f64 x (*.f64 y y)) x) 1/2 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
(+.f64 (/.f64 x y) (-.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 -1/2 (pow.f64 x 3)) (pow.f64 y 3))) 1))
(+.f64 (/.f64 x y) (+.f64 (/.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/2 -1)))
(+.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 y y)) x) 1/2 (/.f64 x y)) (fma.f64 -1/2 (pow.f64 (/.f64 x y) 3) -1))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (/.f64 (neg.f64 x) y))
(-.f64 1 (/.f64 x y))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (neg.f64 x) y)))
(+.f64 1 (fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) -1/2 (/.f64 (neg.f64 x) y)))
(-.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 y y)) x) -1/2 1) (/.f64 x y))
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
(+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (neg.f64 x) y))))
(+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) -1/2 (/.f64 (neg.f64 x) y))))
(fma.f64 1/2 (pow.f64 (/.f64 x y) 3) (-.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 y y)) x) -1/2 1) (/.f64 x y)))

eval1.0s (10.8%)

Compiler

Compiled 27724 to 10100 computations (63.6% saved)

prune436.0ms (4.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New989121001
Fresh202
Picked101
Done314
Total995131008
Error
0b
Counts
1008 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
▶43.9b
(/.f64 (-.f64 x y) x)
▶25.2b
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))
0.0b
(/.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y)) (hypot.f64 x y))
▶19.3b
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)
✓24.8b
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
43.7b
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x)))
42.6b
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) x))
20.1b
-1
43.8b
1
43.2b
(+.f64 (+.f64 1 (*.f64 0 (/.f64 y x))) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
0.0b
(/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))
▶0.0b
(/.f64 (-.f64 x y) (/.f64 (hypot.f64 x y) (/.f64 (+.f64 x y) (hypot.f64 x y))))
▶24.8b
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2))
Compiler

Compiled 321 to 179 computations (44.2% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 46 to 8 computations (82.6% saved)

series9.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite110.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
697×log-prod_binary64
307×pow2_binary64
282×fma-def_binary64
276×log-div_binary64
243×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0938
121832
2369132
Stop Event
1×node limit
Counts
2 → 122
Calls
Call 1
Inputs
(/.f64 (hypot.f64 x y) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(/.f64 (-.f64 x y) (/.f64 (hypot.f64 x y) (/.f64 (+.f64 x y) (hypot.f64 x y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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y)) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (hypot.f64 x y)) 1) (/.f64 (sqrt.f64 (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (hypot.f64 x y)) (+.f64 x y)) (/.f64 (sqrt.f64 (hypot.f64 x y)) (/.f64 1 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 x y) 1) (/.f64 (hypot.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x y)) (/.f64 (hypot.f64 x y) (/.f64 1 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) (+.f64 x y)) (/.f64 (cbrt.f64 (hypot.f64 x y)) (/.f64 1 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 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(/.f64 (hypot.f64 x y) (neg.f64 (+.f64 x y))) (neg.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) 1) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (cbrt.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) (sqrt.f64 (hypot.f64 x y))) (sqrt.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) 3) (pow.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (hypot.f64 x y) (/.f64 (neg.f64 (+.f64 x y)) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) 3) (pow.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) (neg.f64 (*.f64 y (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) (*.f64 y (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change 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simplify89.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
737×fma-def_binary64
492×div-sub_binary64
446×associate-+l+_binary64
413×associate-/l*_binary64
395×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0144822
1505734
21872602
37790602
Stop Event
1×node limit
Counts
170 → 171
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 -1 x))
(+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) y)) (+.f64 y (*.f64 -1 x)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) y)) (+.f64 y (*.f64 -1 x))))
x
(+.f64 (*.f64 -1 y) x)
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 y) x)) (*.f64 -1 (/.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2)))) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 y) x))) (*.f64 -1 (/.f64 (pow.f64 y 2) x)))
x
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) x)) (+.f64 (*.f64 -1 y) x))
(+.f64 (/.f64 (*.f64 y (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) x)) (+.f64 (*.f64 -1 y) x)))
x
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 -1 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) x)))
y
(+.f64 y (*.f64 -1 x))
(-.f64 (+.f64 y (+.f64 (*.f64 -1 x) (/.f64 (pow.f64 x 2) y))) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 2))) x) (pow.f64 y 2))) (+.f64 y (+.f64 (*.f64 -1 x) (/.f64 (pow.f64 x 2) y)))) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))
y
(+.f64 y (*.f64 -1 x))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) y)) (+.f64 y (*.f64 -1 x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) y)) (+.f64 y (+.f64 (*.f64 -1 x) (/.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) x) (pow.f64 y 2)))))
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
Outputs
y
(+.f64 y (*.f64 -1 x))
(+.f64 y (neg.f64 x))
(-.f64 y x)
(+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) y)) (+.f64 y (*.f64 -1 x)))
(fma.f64 2 (/.f64 (*.f64 x x) y) (+.f64 y (neg.f64 x)))
(fma.f64 2 (/.f64 x (/.f64 y x)) (-.f64 y x))
(-.f64 (fma.f64 2 (/.f64 (*.f64 x x) y) y) x)
(-.f64 (fma.f64 2 (*.f64 (/.f64 x y) x) y) x)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) y)) (+.f64 y (*.f64 -1 x))))
(fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 2 (/.f64 (*.f64 x x) y) (+.f64 y (neg.f64 x))))
(fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 2 (/.f64 x (/.f64 y x)) (-.f64 y x)))
(+.f64 y (-.f64 (*.f64 (/.f64 (*.f64 x x) (/.f64 y -2)) (+.f64 -1 (/.f64 x y))) x))
x
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 y) x)) (*.f64 -1 (/.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 (fma.f64 -1 y x) (/.f64 (*.f64 y y) x)) (/.f64 (neg.f64 (*.f64 y y)) x))
(+.f64 (-.f64 x y) (+.f64 (/.f64 y (/.f64 x y)) (/.f64 y (/.f64 x y))))
(-.f64 (fma.f64 2 (/.f64 (*.f64 y y) x) x) y)
(fma.f64 2 (*.f64 (/.f64 y x) y) (-.f64 x y))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2)))) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 y) x))) (*.f64 -1 (/.f64 (pow.f64 y 2) x)))
(-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (*.f64 y y) (neg.f64 (*.f64 y y))))) (+.f64 (fma.f64 -1 y x) (/.f64 (*.f64 y y) x))) (/.f64 (neg.f64 (*.f64 y y)) x))
(+.f64 (/.f64 y (/.f64 x y)) (+.f64 (-.f64 x y) (+.f64 (/.f64 y (/.f64 x y)) (*.f64 (/.f64 -2 x) (/.f64 (pow.f64 y 3) x)))))
(+.f64 x (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y -2)) x) (+.f64 (/.f64 y x) -1)) y))
(+.f64 x (-.f64 (*.f64 (/.f64 -2 (/.f64 x (*.f64 y y))) (+.f64 -1 (/.f64 y x))) y))
x
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) x)) (+.f64 (*.f64 -1 y) x))
(-.f64 (+.f64 (fma.f64 -1 y x) (/.f64 (*.f64 y y) x)) (/.f64 (neg.f64 (*.f64 y y)) x))
(+.f64 (-.f64 x y) (+.f64 (/.f64 y (/.f64 x y)) (/.f64 y (/.f64 x y))))
(-.f64 (fma.f64 2 (/.f64 (*.f64 y y) x) x) y)
(fma.f64 2 (*.f64 (/.f64 y x) y) (-.f64 x y))
(+.f64 (/.f64 (*.f64 y (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) x)) (+.f64 (*.f64 -1 y) x)))
(-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (*.f64 y y) (neg.f64 (*.f64 y y))))) (+.f64 (fma.f64 -1 y x) (/.f64 (*.f64 y y) x))) (/.f64 (neg.f64 (*.f64 y y)) x))
(+.f64 (/.f64 y (/.f64 x y)) (+.f64 (-.f64 x y) (+.f64 (/.f64 y (/.f64 x y)) (*.f64 (/.f64 -2 x) (/.f64 (pow.f64 y 3) x)))))
(+.f64 x (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y -2)) x) (+.f64 (/.f64 y x) -1)) y))
(+.f64 x (-.f64 (*.f64 (/.f64 -2 (/.f64 x (*.f64 y y))) (+.f64 -1 (/.f64 y x))) y))
x
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) x))
(-.f64 (+.f64 (fma.f64 -1 y x) (/.f64 (*.f64 y y) x)) (/.f64 (neg.f64 (*.f64 y y)) x))
(+.f64 (-.f64 x y) (+.f64 (/.f64 y (/.f64 x y)) (/.f64 y (/.f64 x y))))
(-.f64 (fma.f64 2 (/.f64 (*.f64 y y) x) x) y)
(fma.f64 2 (*.f64 (/.f64 y x) y) (-.f64 x y))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 -1 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) x)))
(-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (*.f64 y y) (neg.f64 (*.f64 y y))))) (+.f64 (fma.f64 -1 y x) (/.f64 (*.f64 y y) x))) (/.f64 (neg.f64 (*.f64 y y)) x))
(+.f64 (/.f64 y (/.f64 x y)) (+.f64 (-.f64 x y) (+.f64 (/.f64 y (/.f64 x y)) (*.f64 (/.f64 -2 x) (/.f64 (pow.f64 y 3) x)))))
(+.f64 x (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y -2)) x) (+.f64 (/.f64 y x) -1)) y))
(+.f64 x (-.f64 (*.f64 (/.f64 -2 (/.f64 x (*.f64 y y))) (+.f64 -1 (/.f64 y x))) y))
y
(+.f64 y (*.f64 -1 x))
(+.f64 y (neg.f64 x))
(-.f64 y x)
(-.f64 (+.f64 y (+.f64 (*.f64 -1 x) (/.f64 (pow.f64 x 2) y))) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))
(fma.f64 2 (/.f64 (*.f64 x x) y) (+.f64 y (neg.f64 x)))
(fma.f64 2 (/.f64 x (/.f64 y x)) (-.f64 y x))
(-.f64 (fma.f64 2 (/.f64 (*.f64 x x) y) y) x)
(-.f64 (fma.f64 2 (*.f64 (/.f64 x y) x) y) x)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 2))) x) (pow.f64 y 2))) (+.f64 y (+.f64 (*.f64 -1 x) (/.f64 (pow.f64 x 2) y)))) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))
(fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 2 (/.f64 (*.f64 x x) y) (+.f64 y (neg.f64 x))))
(fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 2 (/.f64 x (/.f64 y x)) (-.f64 y x)))
(+.f64 y (-.f64 (*.f64 (/.f64 (*.f64 x x) (/.f64 y -2)) (+.f64 -1 (/.f64 x y))) x))
y
(+.f64 y (*.f64 -1 x))
(+.f64 y (neg.f64 x))
(-.f64 y x)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) y)) (+.f64 y (*.f64 -1 x)))
(fma.f64 2 (/.f64 (*.f64 x x) y) (+.f64 y (neg.f64 x)))
(fma.f64 2 (/.f64 x (/.f64 y x)) (-.f64 y x))
(-.f64 (fma.f64 2 (/.f64 (*.f64 x x) y) y) x)
(-.f64 (fma.f64 2 (*.f64 (/.f64 x y) x) y) x)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) y)) (+.f64 y (+.f64 (*.f64 -1 x) (/.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) x) (pow.f64 y 2)))))
(fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 2 (/.f64 (*.f64 x x) y) (+.f64 y (neg.f64 x))))
(fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 2 (/.f64 x (/.f64 y x)) (-.f64 y x)))
(+.f64 y (-.f64 (*.f64 (/.f64 (*.f64 x x) (/.f64 y -2)) (+.f64 -1 (/.f64 x y))) x))
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(+.f64 (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
(+.f64 (fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) -1)
(fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)))
(fma.f64 2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (neg.f64 y) x)))
(+.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))
(+.f64 1 (*.f64 0 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x))) (/.f64 (*.f64 y y) (*.f64 x x))))
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (*.f64 0 (/.f64 y x)))
(+.f64 (fma.f64 -2 (/.f64 y (*.f64 x (/.f64 x y))) 1) (*.f64 0 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x))) (/.f64 (*.f64 y y) (*.f64 x x))))
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (*.f64 0 (/.f64 y x)))
(+.f64 (fma.f64 -2 (/.f64 y (*.f64 x (/.f64 x y))) 1) (*.f64 0 (/.f64 y x)))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (neg.f64 y) x)))
(+.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))
(+.f64 1 (*.f64 0 (/.f64 y x)))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x))) (/.f64 (*.f64 y y) (*.f64 x x))))
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (*.f64 0 (/.f64 y x)))
(+.f64 (fma.f64 -2 (/.f64 y (*.f64 x (/.f64 x y))) 1) (*.f64 0 (/.f64 y x)))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x))) (/.f64 (*.f64 y y) (*.f64 x x))))
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (*.f64 0 (/.f64 y x)))
(+.f64 (fma.f64 -2 (/.f64 y (*.f64 x (/.f64 x y))) 1) (*.f64 0 (/.f64 y x)))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (*.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x))))
(fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)
(fma.f64 -2 (/.f64 y (*.f64 x (/.f64 x y))) 1)
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (fma.f64 -2 (/.f64 y (*.f64 x (/.f64 x y))) 1))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(+.f64 1 (fma.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(+.f64 1 (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (+.f64 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (*.f64 (/.f64 y x) (/.f64 y x))))))
(+.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (/.f64 y (*.f64 x (/.f64 x y))))) (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) 1))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 4 computations (66.7% saved)

series15.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
12.0ms
y
@-inf
(/.f64 (-.f64 x y) x)
1.0ms
x
@0
(/.f64 (-.f64 x y) x)
0.0ms
x
@-inf
(/.f64 (-.f64 x y) x)
0.0ms
y
@inf
(/.f64 (-.f64 x y) x)
0.0ms
x
@inf
(/.f64 (-.f64 x y) x)

rewrite82.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
787×pow1_binary64
738×add-log-exp_binary64
738×log1p-expm1-u_binary64
738×expm1-log1p-u_binary64
721×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11197
219137
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 1 (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 2) (cbrt.f64 (-.f64 1 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 y x))) (sqrt.f64 (-.f64 1 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 x y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 x y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1 (/.f64 y x))))))))

simplify62.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
20×fma-def_binary64
12×sub-neg_binary64
6×+-commutative_binary64
4×*-commutative_binary64
4×associate-+l-_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08183
115147
224147
333147
444147
559147
674147
791147
8102147
9116147
Stop Event
1×saturated
Counts
57 → 37
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
Outputs
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))

localize30.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))
✓4.4b
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))
✓9.5b
(/.f64 x (*.f64 y y))
Compiler

Compiled 41 to 15 computations (63.4% saved)

series18.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))
1.0ms
x
@0
(/.f64 x (*.f64 y y))
1.0ms
x
@inf
(/.f64 x (*.f64 y y))
1.0ms
y
@0
(/.f64 x (*.f64 y y))
1.0ms
x
@0
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))

rewrite118.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
596×log-prod_binary64
556×fma-def_binary64
309×pow2_binary64
277×log-div_binary64
261×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01039
123635
2408135
Stop Event
1×node limit
Counts
3 → 204
Calls
Call 1
Inputs
(/.f64 x (*.f64 y y))
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))
(+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) (cbrt.f64 (/.f64 (*.f64 x x) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x x) (pow.f64 y 4))) (cbrt.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) y) (/.f64 (cbrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 y 4))) (/.f64 x (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 y 4))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y (/.f64 y x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y -2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 x y) (fma.f64 x (pow.f64 y -2) (pow.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x y) y) (*.f64 x (*.f64 (pow.f64 y -2) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (pow.f64 y -2) (-.f64 x y))) (/.f64 (-.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 x y) y) 1) (*.f64 (*.f64 x (*.f64 (pow.f64 y -2) (-.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x (pow.f64 y -2) (pow.f64 y -1))) (*.f64 (neg.f64 y) (fma.f64 x (pow.f64 y -2) (pow.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 x (pow.f64 y -2) (pow.f64 y -1)) x) (*.f64 (fma.f64 x (pow.f64 y -2) (pow.f64 y -1)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) (fma.f64 x (pow.f64 y -2) (pow.f64 y -1)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) (fma.f64 x (pow.f64 y -2) (pow.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) (fma.f64 x (pow.f64 y -2) (pow.f64 y -1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) (fma.f64 x (pow.f64 y -2) (pow.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x y) (fma.f64 x (pow.f64 y -2) (pow.f64 y -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 y (+.f64 x y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y (+.f64 x y))) (*.f64 (+.f64 x y) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (pow.f64 y -3) (pow.f64 (*.f64 x (pow.f64 y -2)) 3))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 (+.f64 (pow.f64 y -2) (/.f64 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egg-rr> (2) ((x /.f64 (fma.f64 y (/.f64 y x) y) (*.f64 y (*.f64 y (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (*.f64 y (/.f64 y x)) (*.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) (*.f64 y (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 y (neg.f64 y) (*.f64 y (neg.f64 x))) (*.f64 y (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (*.f64 y (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 x))) (*.f64 (neg.f64 y) (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y (*.f64 y (/.f64 x y))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 y (*.f64 (neg.f64 y) (/.f64 x y))) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) (pow.f64 y -2)) (-.f64 (*.f64 x (pow.f64 y -2)) (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (+.f64 x y)) y) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (pow.f64 y -2) (pow.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (pow.f64 y -2) (pow.f64 y -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (*.f64 y (+.f64 x y))) y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y 3) (*.f64 y (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 y -2) (/.f64 (*.f64 x x) (pow.f64 y 4))) (/.f64 x (pow.f64 y 3))) (+.f64 (pow.f64 y -3) (pow.f64 (*.f64 x (pow.f64 y -2)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 1 (/.f64 x y)) y) (-.f64 (pow.f64 y -2) (/.f64 (*.f64 x x) (pow.f64 y 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (pow.f64 y -2) (pow.f64 y -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (pow.f64 y -2) (pow.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (pow.f64 y -2) (pow.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 y -2)))) (exp.f64 (pow.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) (pow.f64 y -2)) (+.f64 1 (expm1.f64 (pow.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 y -2)))) (+.f64 1 (expm1.f64 (pow.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 y -1))) (pow.f64 (exp.f64 x) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (pow.f64 y -1)) (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 y -1))) (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (pow.f64 y -2) (pow.f64 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (pow.f64 y -2) (pow.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (pow.f64 y -2) (pow.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (pow.f64 y -2) (pow.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (pow.f64 y -2) (pow.f64 y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (pow.f64 y -2) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 y -2)) 1 (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (pow.f64 y -2)) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 y -1) (*.f64 x (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1) 1 (*.f64 x (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1) (/.f64 x y) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -1) (cbrt.f64 (pow.f64 y -2)) (*.f64 x (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (cbrt.f64 y) -1) (*.f64 x (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) (cbrt.f64 (/.f64 (*.f64 x x) (pow.f64 y 4))) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (*.f64 x x) (pow.f64 y 4))) (cbrt.f64 (*.f64 x (pow.f64 y -2))) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (pow.f64 y -2)) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (*.f64 x (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y -2)) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 y)) (*.f64 x (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 (*.f64 y (neg.f64 y))) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -2) x (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) (pow.f64 y -1) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 y) -1) (*.f64 x (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) y) (/.f64 (cbrt.f64 x) y) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (*.f64 y y)) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 y y)) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 y 4))) (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (*.f64 x (pow.f64 y -2))) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 y 4))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (pow.f64 y -1))))))

simplify84.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
550×unswap-sqr_binary64
430×associate-/l*_binary64
365×fma-def_binary64
352×div-sub_binary64
331×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026675
166675
2159645
3295645
4957645
55865645
Stop Event
1×node limit
Counts
276 → 219
Calls
Call 1
Inputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
-1
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1)
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1)
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) 1)
(/.f64 x (pow.f64 y 2))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(/.f64 x (pow.f64 y 2))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(/.f64 x (pow.f64 y 2))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
Outputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
-1
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 (/.f64 x (*.f64 y y)) x -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 (/.f64 x (*.f64 y y)) x -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 (/.f64 x (*.f64 y y)) x -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 (/.f64 x (*.f64 y y)) x)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 (/.f64 x (*.f64 y y)) x -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 (/.f64 x (*.f64 y y)) x -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 (/.f64 x (*.f64 y y)) x -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 (/.f64 x (*.f64 y y)) x)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 (/.f64 x (*.f64 y y)) x -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 (/.f64 x (*.f64 y y)) x -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 (/.f64 x (*.f64 y y)) x -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 (/.f64 x (*.f64 y y)) x)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 (/.f64 x (*.f64 y y)) x)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 (/.f64 x (*.f64 y y)) x -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 (/.f64 x (*.f64 y y)) x -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 (/.f64 x (*.f64 y y)) x -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 (/.f64 x (*.f64 y y)) x -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 (/.f64 x (*.f64 y y)) x -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 (/.f64 x (*.f64 y y)) x -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y))
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y))

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 27 to 12 computations (55.6% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite66.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
475×log-prod_binary64
378×exp-prod_binary64
300×prod-exp_binary64
264×pow-prod-down_binary64
247×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0921
119321
2254818
Stop Event
1×node limit
Counts
2 → 95
Calls
Call 1
Inputs
(/.f64 x (/.f64 y x))
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 2) (cbrt.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 x y))) (sqrt.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) y) (*.f64 (cbrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) -2) (/.f64 x (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y x) -1/2) (/.f64 x (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (*.f64 x x)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (*.f64 x x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (/.f64 x y)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (/.f64 x y))))) (sqrt.f64 (log.f64 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (*.f64 x x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (*.f64 x x)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (/.f64 y x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (/.f64 y x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 x x)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 x y)) (*.f64 (log.f64 x) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 2 (pow.f64 (/.f64 y x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) 3) -1) (+.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) 2) (-.f64 1 (*.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) 2) 1) (fma.f64 2 (pow.f64 (/.f64 y x) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1))) 2)) (cbrt.f64 (log.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)))) (sqrt.f64 (log.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)) 1) 1))))))

simplify156.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
705×associate-/l*_binary64
482×sqr-pow_binary64
432×associate-/r*_binary64
426×associate-/l/_binary64
399×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012462
127462
253462
3148462
4766462
54879462
65752462
75988462
86201462
96449462
106786462
117222462
127785462
Stop Event
1×node limit
Counts
143 → 101
Calls
Call 1
Inputs
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
Outputs
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)))
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 2 (*.f64 x (/.f64 x (*.f64 y y))))
(*.f64 x (*.f64 2 (/.f64 (/.f64 x y) y)))
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)))
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1)
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1)
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1)
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1)
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1)
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1)
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1)
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1)
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1)
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1)
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1)
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1)
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1)
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1)
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1)
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1)
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1)
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1)
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1)
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1)
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1)
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1)
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1)
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1)
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1)
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1)
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1)
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1)
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)))
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 2 (*.f64 x (/.f64 x (*.f64 y y))))
(*.f64 x (*.f64 2 (/.f64 (/.f64 x y) y)))
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)))
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1)
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1)
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1)
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1)
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1)
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1)
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1)
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)))
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 2 (*.f64 x (/.f64 x (*.f64 y y))))
(*.f64 x (*.f64 2 (/.f64 (/.f64 x y) y)))
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)))
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1)
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1)
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1)
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1)
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1)
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1)
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 x y)
✓0.0b
(pow.f64 (hypot.f64 x y) 2)
✓24.4b
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2))
Compiler

Compiled 39 to 12 computations (69.2% saved)

series15.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

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

rewrite209.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
846×prod-diff_binary64
543×log-prod_binary64
409×fma-def_binary64
286×pow2_binary64
196×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
123126
2323126
Stop Event
1×node limit
Counts
2 → 229
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2))
(pow.f64 (hypot.f64 x y) 2)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x y) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 x 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fma.f64 1 (*.f64 x x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 y 4)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y y))))))

simplify94.0ms (1%)

Algorithm
1×egg-herbie
Rules
936×times-frac_binary64
575×associate-*l*_binary64
548×associate-*r*_binary64
506×associate-/r*_binary64
413×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01571102
1524939
21907772
Stop Event
1×node limit
Counts
277 → 264
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 y 4)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) (pow.f64 y 2)) (*.f64 -1/4 (pow.f64 y 4)))) (pow.f64 x 4))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 y 6)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 y 4)) (+.f64 (*.f64 -1/4 (pow.f64 y 4)) (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2))))) (pow.f64 y 2))) (+.f64 (*.f64 -1/8 (pow.f64 y 6)) (*.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) (+.f64 (*.f64 1/4 (pow.f64 y 4)) (*.f64 -1/4 (pow.f64 y 4))))))) (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 y 4)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) (pow.f64 y 2)) (*.f64 -1/4 (pow.f64 y 4)))) (pow.f64 x 4)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 y 4)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) (pow.f64 y 2)) (*.f64 -1/4 (pow.f64 y 4)))) (pow.f64 x 4))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 y 6)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 y 4)) (+.f64 (*.f64 -1/4 (pow.f64 y 4)) (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2))))) (pow.f64 y 2))) (+.f64 (*.f64 -1/8 (pow.f64 y 6)) (*.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) (+.f64 (*.f64 1/4 (pow.f64 y 4)) (*.f64 -1/4 (pow.f64 y 4))))))) (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 y 4)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) (pow.f64 y 2)) (*.f64 -1/4 (pow.f64 y 4)))) (pow.f64 x 4)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
-1
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2)) (*.f64 -1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))))) (pow.f64 y 4)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 2))) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2)) (*.f64 -1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))))) (pow.f64 x 2))) (*.f64 -1 (+.f64 (*.f64 -1/8 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 6)))))) (pow.f64 y 6))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2)) (*.f64 -1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))))) (pow.f64 y 4))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2)) (*.f64 -1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))))) (pow.f64 y 4)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 2))) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2)) (*.f64 -1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))))) (pow.f64 x 2))) (*.f64 -1 (+.f64 (*.f64 -1/8 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 6)))))) (pow.f64 y 6))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2)) (*.f64 -1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))))) (pow.f64 y 4))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 (+.f64 (*.f64 5/64 (/.f64 1 (pow.f64 y 6))) (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 y 6))) (pow.f64 (/.f64 -1/8 (pow.f64 y 3)) 2)))) (pow.f64 x 8))))
(pow.f64 x 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 y 6) (pow.f64 x 4))) (*.f64 -1/8 (/.f64 (pow.f64 y 6) (pow.f64 x 4))))))))
(pow.f64 x 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 y 6) (pow.f64 x 4))) (*.f64 -1/8 (/.f64 (pow.f64 y 6) (pow.f64 x 4))))))))
(pow.f64 x 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (*.f64 (pow.f64 y 8) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2))) (*.f64 5/64 (/.f64 1 (pow.f64 x 6))))) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 2))) (+.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 6) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 6) (pow.f64 y 4))) (+.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 2))) (+.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 6) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 6) (pow.f64 y 4))) (+.f64 (pow.f64 y 2) (pow.f64 x 2))))))
Outputs
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (/.f64 x (/.f64 (*.f64 y y) x)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(+.f64 (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) -1)
(fma.f64 2 (/.f64 x (/.f64 (*.f64 y y) x)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
(+.f64 (fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) -1)
(fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (/.f64 x (/.f64 (*.f64 y y) x)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)))
(fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x)) (/.f64 (*.f64 y y) (*.f64 x x))))
(-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 (/.f64 y x) (/.f64 y x)))
(fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 y 4)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) (pow.f64 y 2)) (*.f64 -1/4 (pow.f64 y 4)))) (pow.f64 x 4))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (+.f64 (*.f64 (pow.f64 y 4) 0) (*.f64 (*.f64 y y) (-.f64 (neg.f64 (*.f64 y y)) (*.f64 y y)))) (pow.f64 x 4))))) (/.f64 (*.f64 y y) (*.f64 x x)))
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) -2)) 0) (pow.f64 x 4))) (*.f64 (/.f64 y x) (/.f64 y x)))
(+.f64 (/.f64 (neg.f64 (*.f64 -2 (pow.f64 y 4))) (pow.f64 x 4)) (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 y 6)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 y 4)) (+.f64 (*.f64 -1/4 (pow.f64 y 4)) (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2))))) (pow.f64 y 2))) (+.f64 (*.f64 -1/8 (pow.f64 y 6)) (*.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) (+.f64 (*.f64 1/4 (pow.f64 y 4)) (*.f64 -1/4 (pow.f64 y 4))))))) (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 y 4)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) (pow.f64 y 2)) (*.f64 -1/4 (pow.f64 y 4)))) (pow.f64 x 4)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 1/8 (pow.f64 y 6) (fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (pow.f64 y 4) 0) (*.f64 (*.f64 y y) (-.f64 (neg.f64 (*.f64 y y)) (*.f64 y y))))) (fma.f64 -1/8 (pow.f64 y 6) (*.f64 (-.f64 (neg.f64 (*.f64 y y)) (*.f64 y y)) (*.f64 (pow.f64 y 4) 0))))) (pow.f64 x 6)) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (+.f64 (*.f64 (pow.f64 y 4) 0) (*.f64 (*.f64 y y) (-.f64 (neg.f64 (*.f64 y y)) (*.f64 y y)))) (pow.f64 x 4)))))) (/.f64 (*.f64 y y) (*.f64 x x)))
(-.f64 (-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) -2)) 0) (pow.f64 x 4))) (/.f64 (fma.f64 (pow.f64 y 6) 1/8 (-.f64 (fma.f64 (pow.f64 y 6) -1/8 (*.f64 (*.f64 (*.f64 y y) -2) 0)) (*.f64 y (*.f64 y (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) -2)) 0))))) (pow.f64 x 6))) (*.f64 (/.f64 y x) (/.f64 y x)))
(-.f64 (+.f64 (/.f64 (neg.f64 (*.f64 -2 (pow.f64 y 4))) (pow.f64 x 4)) (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)) (/.f64 (fma.f64 (pow.f64 y 6) 1/8 (-.f64 (*.f64 (pow.f64 y 6) -1/8) (*.f64 -2 (pow.f64 y 6)))) (pow.f64 x 6)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x)) (/.f64 (*.f64 y y) (*.f64 x x))))
(-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 (/.f64 y x) (/.f64 y x)))
(fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 y 4)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) (pow.f64 y 2)) (*.f64 -1/4 (pow.f64 y 4)))) (pow.f64 x 4))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (+.f64 (*.f64 (pow.f64 y 4) 0) (*.f64 (*.f64 y y) (-.f64 (neg.f64 (*.f64 y y)) (*.f64 y y)))) (pow.f64 x 4))))) (/.f64 (*.f64 y y) (*.f64 x x)))
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) -2)) 0) (pow.f64 x 4))) (*.f64 (/.f64 y x) (/.f64 y x)))
(+.f64 (/.f64 (neg.f64 (*.f64 -2 (pow.f64 y 4))) (pow.f64 x 4)) (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 y 6)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 y 4)) (+.f64 (*.f64 -1/4 (pow.f64 y 4)) (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2))))) (pow.f64 y 2))) (+.f64 (*.f64 -1/8 (pow.f64 y 6)) (*.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) (+.f64 (*.f64 1/4 (pow.f64 y 4)) (*.f64 -1/4 (pow.f64 y 4))))))) (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 y 4)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) (pow.f64 y 2)) (*.f64 -1/4 (pow.f64 y 4)))) (pow.f64 x 4)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 1/8 (pow.f64 y 6) (fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (pow.f64 y 4) 0) (*.f64 (*.f64 y y) (-.f64 (neg.f64 (*.f64 y y)) (*.f64 y y))))) (fma.f64 -1/8 (pow.f64 y 6) (*.f64 (-.f64 (neg.f64 (*.f64 y y)) (*.f64 y y)) (*.f64 (pow.f64 y 4) 0))))) (pow.f64 x 6)) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (+.f64 (*.f64 (pow.f64 y 4) 0) (*.f64 (*.f64 y y) (-.f64 (neg.f64 (*.f64 y y)) (*.f64 y y)))) (pow.f64 x 4)))))) (/.f64 (*.f64 y y) (*.f64 x x)))
(-.f64 (-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) -2)) 0) (pow.f64 x 4))) (/.f64 (fma.f64 (pow.f64 y 6) 1/8 (-.f64 (fma.f64 (pow.f64 y 6) -1/8 (*.f64 (*.f64 (*.f64 y y) -2) 0)) (*.f64 y (*.f64 y (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) -2)) 0))))) (pow.f64 x 6))) (*.f64 (/.f64 y x) (/.f64 y x)))
(-.f64 (+.f64 (/.f64 (neg.f64 (*.f64 -2 (pow.f64 y 4))) (pow.f64 x 4)) (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)) (/.f64 (fma.f64 (pow.f64 y 6) 1/8 (-.f64 (*.f64 (pow.f64 y 6) -1/8) (*.f64 -2 (pow.f64 y 6)))) (pow.f64 x 6)))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x)) (/.f64 (*.f64 y y) (*.f64 x x))))
(-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 (/.f64 y x) (/.f64 y x)))
(fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (*.f64 2 (pow.f64 y 4)) (pow.f64 x 4))))
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (/.f64 2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(+.f64 1 (fma.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 (*.f64 -2 (pow.f64 y 6)) (pow.f64 x 6)))))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 -2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (fma.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (/.f64 2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
-1
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (/.f64 x (/.f64 (*.f64 y y) x)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2)) (*.f64 -1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))))) (pow.f64 y 4)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(+.f64 (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) -1)
(fma.f64 2 (/.f64 x (/.f64 (*.f64 y y) x)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 2))) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2)) (*.f64 -1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))))) (pow.f64 x 2))) (*.f64 -1 (+.f64 (*.f64 -1/8 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 6)))))) (pow.f64 y 6))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2)) (*.f64 -1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))))) (pow.f64 y 4))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(+.f64 (fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) -1)
(fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (/.f64 x (/.f64 (*.f64 y y) x)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)))
(fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)))
-1
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (/.f64 x (/.f64 (*.f64 y y) x)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2)) (*.f64 -1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))))) (pow.f64 y 4)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(+.f64 (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) -1)
(fma.f64 2 (/.f64 x (/.f64 (*.f64 y y) x)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 2))) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2)) (*.f64 -1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))))) (pow.f64 x 2))) (*.f64 -1 (+.f64 (*.f64 -1/8 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 6)))))) (pow.f64 y 6))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2)) (*.f64 -1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))))) (pow.f64 y 4))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(+.f64 (fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) -1)
(fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (/.f64 x (/.f64 (*.f64 y y) x)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)))
(fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)))
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 (+.f64 (*.f64 5/64 (/.f64 1 (pow.f64 y 6))) (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 y 6))) (pow.f64 (/.f64 -1/8 (pow.f64 y 3)) 2)))) (pow.f64 x 8))))
(+.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 5/64 (pow.f64 y 6)) (neg.f64 (+.f64 (/.f64 1/16 (pow.f64 y 6)) (pow.f64 (/.f64 -1/8 (pow.f64 y 3)) 2)))) (pow.f64 x 8))))
(fma.f64 y y (fma.f64 (-.f64 (/.f64 5/64 (pow.f64 y 6)) (+.f64 (/.f64 1/16 (pow.f64 y 6)) (pow.f64 (/.f64 -1/8 (pow.f64 y 3)) 2))) (pow.f64 x 8) (*.f64 x x)))
(fma.f64 y y (fma.f64 (-.f64 (*.f64 (/.f64 1 (pow.f64 y 6)) 1/64) (pow.f64 (/.f64 -1/8 (pow.f64 y 3)) 2)) (pow.f64 x 8) (*.f64 x x)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 y 6) (pow.f64 x 4))) (*.f64 -1/8 (/.f64 (pow.f64 y 6) (pow.f64 x 4))))))))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 y 6) (pow.f64 x 4))) (*.f64 -1/8 (/.f64 (pow.f64 y 6) (pow.f64 x 4))))))))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(+.f64 (*.f64 (pow.f64 y 8) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2))) (*.f64 5/64 (/.f64 1 (pow.f64 x 6))))) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(fma.f64 (pow.f64 y 8) (fma.f64 -1 (+.f64 (/.f64 1/16 (pow.f64 x 6)) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2)) (/.f64 5/64 (pow.f64 x 6))) (+.f64 (*.f64 x x) (*.f64 y y)))
(fma.f64 (pow.f64 y 8) (-.f64 (/.f64 5/64 (pow.f64 x 6)) (+.f64 (/.f64 1/16 (pow.f64 x 6)) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2))) (fma.f64 x x (*.f64 y y)))
(fma.f64 (pow.f64 y 8) (-.f64 (*.f64 (/.f64 1 (pow.f64 x 6)) 1/64) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2)) (fma.f64 x x (*.f64 y y)))
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 2))) (+.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 6) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 6) (pow.f64 y 4))) (+.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 2))) (+.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 6) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 6) (pow.f64 y 4))) (+.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))

eval553.0ms (5.7%)

Compiler

Compiled 26237 to 12056 computations (54% saved)

prune163.0ms (1.7%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New102441028
Fresh167
Picked101
Done145
Total1027141041
Error
0b
Counts
1041 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
✓43.9b
(/.f64 (-.f64 x y) x)
✓25.2b
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))
31.7b
(/.f64 (-.f64 x y) (/.f64 (hypot.f64 x y) (/.f64 (+.f64 x y) (-.f64 (*.f64 (/.f64 -1/2 y) (*.f64 x x)) y))))
▶0.0b
(/.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y)) (hypot.f64 x y))
✓24.8b
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
20.1b
-1
43.8b
1
✓0.0b
(/.f64 (-.f64 x y) (/.f64 (hypot.f64 x y) (/.f64 (+.f64 x y) (hypot.f64 x y))))
▶42.6b
(/.f64 (-.f64 x y) (/.f64 x (/.f64 (+.f64 x y) (hypot.f64 x y))))
43.7b
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x)))
▶43.2b
(+.f64 (+.f64 1 (*.f64 0 (/.f64 y x))) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
19.3b
(+.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) -1)
▶0.0b
(/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))
▶38.6b
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
Compiler

Compiled 322 to 180 computations (44.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 46 to 8 computations (82.6% saved)

series8.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite77.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
664×log-prod_binary64
333×fma-def_binary64
308×pow2_binary64
265×log-div_binary64
218×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0938
121835
2372435
Stop Event
1×node limit
Counts
2 → 140
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y))
(/.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y)) (hypot.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x (-.f64 x y)) (hypot.f64 x y)) (/.f64 (*.f64 y (-.f64 x y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 y (-.f64 x y)) (hypot.f64 x y)) (/.f64 (*.f64 x (-.f64 x y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 x (-.f64 x y)) (hypot.f64 x y)) 1) (*.f64 (/.f64 (*.f64 y (-.f64 x y)) (hypot.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (/.f64 (-.f64 x y) (hypot.f64 x y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (/.f64 (-.f64 x y) (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (/.f64 (-.f64 x y) (hypot.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (/.f64 (-.f64 x y) (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (/.f64 (hypot.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (hypot.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) (fma.f64 x x (*.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (neg.f64 (hypot.f64 x y)))))) (#(struct:change 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#<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y)) (cbrt.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (/.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y)) (sqrt.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (sqrt.f64 (hypot.f64 x y))) (/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (sqrt.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 1) (/.f64 (+.f64 x y) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) 1) (/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (hypot.f64 x y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y))) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y))) 1) (/.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y))) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (cbrt.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y))) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (cbrt.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y))) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y))) (cbrt.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (sqrt.f64 (hypot.f64 x y))) (/.f64 (+.f64 x y) (sqrt.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y))) 2) (sqrt.f64 (hypot.f64 x y))) (/.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y))) (sqrt.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y)) 3) (pow.f64 (hypot.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y)) (neg.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y)) 3) (pow.f64 (hypot.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2))) 1))))))

simplify51.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
791×fma-def_binary64
737×times-frac_binary64
553×associate-+r+_binary64
370×associate-/l*_binary64
340×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0170901
1588800
22315646
Stop Event
1×node limit
Counts
188 → 200
Calls
Call 1
Inputs
(*.f64 -1 y)
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 y))
(+.f64 (*.f64 -7/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 y)))
(+.f64 (*.f64 -7/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 11/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5))) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 y))))
x
(+.f64 y (+.f64 (*.f64 -1 y) x))
(-.f64 (+.f64 y (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1 y) x))) (*.f64 1/2 (/.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 y (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1 y) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 2))) x)))) (*.f64 1/2 (/.f64 (pow.f64 y 2) x)))
(*.f64 -1 x)
(+.f64 (*.f64 -1 (+.f64 y (*.f64 -1 y))) (*.f64 -1 x))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 (+.f64 y (*.f64 -1 y))) (*.f64 -1 x))) (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 (+.f64 y (*.f64 -1 y))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (*.f64 -1 x)))) (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)))
x
(+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 7/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) x))
(+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 7/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 -11/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5))) x)))
(*.f64 -1 y)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 y) x))
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 y) (+.f64 x (/.f64 (pow.f64 x 2) y)))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 2))) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 y) (+.f64 x (/.f64 (pow.f64 x 2) y))))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)))
y
(+.f64 y (+.f64 (*.f64 -1 x) x))
(+.f64 y (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 -1/2 (pow.f64 x 2))) y)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 2))) (+.f64 y (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 -1/2 (pow.f64 x 2))) y))))))
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
Outputs
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 y))
(fma.f64 3/2 (/.f64 (*.f64 x x) y) (neg.f64 y))
(-.f64 (/.f64 3/2 (/.f64 y (*.f64 x x))) y)
(-.f64 (*.f64 (/.f64 3/2 y) (*.f64 x x)) y)
(+.f64 (*.f64 -7/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 y)))
(fma.f64 -7/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 3/2 (/.f64 (*.f64 x x) y) (neg.f64 y)))
(fma.f64 -7/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (-.f64 (/.f64 3/2 (/.f64 y (*.f64 x x))) y))
(-.f64 (fma.f64 3/2 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 -7/8 (pow.f64 y 3)) (pow.f64 x 4))) y)
(+.f64 (*.f64 -7/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 11/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5))) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 y))))
(fma.f64 -7/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 11/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5)) (fma.f64 3/2 (/.f64 (*.f64 x x) y) (neg.f64 y))))
(fma.f64 -7/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 11/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5)) (-.f64 (/.f64 3/2 (/.f64 y (*.f64 x x))) y)))
(fma.f64 -7/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 11/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5)) (-.f64 (*.f64 (/.f64 3/2 y) (*.f64 x x)) y)))
x
(+.f64 y (+.f64 (*.f64 -1 y) x))
x
(-.f64 (+.f64 y (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1 y) x))) (*.f64 1/2 (/.f64 (pow.f64 y 2) x)))
(+.f64 y (-.f64 (fma.f64 -1 (/.f64 (*.f64 y y) x) (fma.f64 -1 y x)) (*.f64 (/.f64 (*.f64 y y) x) 1/2)))
(+.f64 (+.f64 (/.f64 (*.f64 y (neg.f64 y)) x) (+.f64 x 0)) (*.f64 (/.f64 y (/.f64 x y)) -1/2))
(fma.f64 (*.f64 (/.f64 y x) y) -3/2 x)
(-.f64 (+.f64 y (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1 y) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 2))) x)))) (*.f64 1/2 (/.f64 (pow.f64 y 2) x)))
(+.f64 y (-.f64 (fma.f64 -1 (/.f64 (*.f64 y y) x) (fma.f64 -1 y x)) (*.f64 (/.f64 (*.f64 y y) x) 1/2)))
(+.f64 (+.f64 (/.f64 (*.f64 y (neg.f64 y)) x) (+.f64 x 0)) (*.f64 (/.f64 y (/.f64 x y)) -1/2))
(fma.f64 (*.f64 (/.f64 y x) y) -3/2 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 (+.f64 y (*.f64 -1 y))) (*.f64 -1 x))
(neg.f64 x)
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 (+.f64 y (*.f64 -1 y))) (*.f64 -1 x))) (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (/.f64 (*.f64 y y) x) (-.f64 (fma.f64 -1 (*.f64 0 y) (neg.f64 x)) (*.f64 (/.f64 (*.f64 y y) x) -1/2)))
(+.f64 (/.f64 y (/.f64 x y)) (+.f64 (neg.f64 x) (*.f64 (/.f64 y (/.f64 x y)) 1/2)))
(fma.f64 -1 x (*.f64 3/2 (*.f64 (/.f64 y x) y)))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 (+.f64 y (*.f64 -1 y))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (*.f64 -1 x)))) (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (/.f64 (*.f64 y y) x) (-.f64 (fma.f64 -1 (*.f64 0 y) (neg.f64 x)) (*.f64 (/.f64 (*.f64 y y) x) -1/2)))
(+.f64 (/.f64 y (/.f64 x y)) (+.f64 (neg.f64 x) (*.f64 (/.f64 y (/.f64 x y)) 1/2)))
(fma.f64 -1 x (*.f64 3/2 (*.f64 (/.f64 y x) y)))
x
(+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 2) x)) x)
(+.f64 y (-.f64 (fma.f64 -1 (/.f64 (*.f64 y y) x) (fma.f64 -1 y x)) (*.f64 (/.f64 (*.f64 y y) x) 1/2)))
(+.f64 (+.f64 (/.f64 (*.f64 y (neg.f64 y)) x) (+.f64 x 0)) (*.f64 (/.f64 y (/.f64 x y)) -1/2))
(fma.f64 (*.f64 (/.f64 y x) y) -3/2 x)
(+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 7/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) x))
(fma.f64 -3/2 (/.f64 (*.f64 y y) x) (fma.f64 7/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) x))
(fma.f64 (/.f64 y (/.f64 x y)) -3/2 (fma.f64 7/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) x))
(fma.f64 (*.f64 (/.f64 y x) y) -3/2 (fma.f64 7/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) x))
(+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 7/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 -11/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5))) x)))
(fma.f64 -3/2 (/.f64 (*.f64 y y) x) (fma.f64 7/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 -11/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5)) x)))
(fma.f64 (/.f64 y (/.f64 x y)) -3/2 (fma.f64 7/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 -11/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5)) x)))
(fma.f64 (*.f64 (/.f64 y x) y) -3/2 (fma.f64 7/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 -11/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5)) x)))
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 y) x))
(neg.f64 y)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 y) (+.f64 x (/.f64 (pow.f64 x 2) y)))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)))
(fma.f64 3/2 (/.f64 (*.f64 x x) y) (neg.f64 y))
(-.f64 (/.f64 3/2 (/.f64 y (*.f64 x x))) y)
(-.f64 (*.f64 (/.f64 3/2 y) (*.f64 x x)) y)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 2))) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 y) (+.f64 x (/.f64 (pow.f64 x 2) y))))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)))
(fma.f64 3/2 (/.f64 (*.f64 x x) y) (neg.f64 y))
(-.f64 (/.f64 3/2 (/.f64 y (*.f64 x x))) y)
(-.f64 (*.f64 (/.f64 3/2 y) (*.f64 x x)) y)
y
(+.f64 y (+.f64 (*.f64 -1 x) x))
y
(+.f64 y (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 -1/2 (pow.f64 x 2))) y)))))
(+.f64 y (+.f64 (*.f64 0 x) (neg.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) -1/2)) y))))
(+.f64 y (neg.f64 (/.f64 3/2 (/.f64 y (*.f64 x x)))))
(-.f64 y (*.f64 (/.f64 3/2 y) (*.f64 x x)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 2))) (+.f64 y (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 -1/2 (pow.f64 x 2))) y))))))
(+.f64 y (+.f64 (*.f64 0 x) (neg.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) -1/2)) y))))
(+.f64 y (neg.f64 (/.f64 3/2 (/.f64 y (*.f64 x x)))))
(-.f64 y (*.f64 (/.f64 3/2 y) (*.f64 x x)))
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 2 (/.f64 x (*.f64 (/.f64 y x) y)) -1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(+.f64 (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(fma.f64 2 (/.f64 x (*.f64 (/.f64 y x) y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
(+.f64 (fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) -1)
(fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)))
(fma.f64 2 (+.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 x (*.f64 (/.f64 y x) y))) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (neg.f64 y) x)))
(+.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))
(+.f64 1 (*.f64 0 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 y x))))) (/.f64 (*.f64 y y) (*.f64 x x)))
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (*.f64 0 (/.f64 y x)) (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 y x))))) (/.f64 (*.f64 y y) (*.f64 x x)))
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (*.f64 0 (/.f64 y x)) (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (neg.f64 y) x)))
(+.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))
(+.f64 1 (*.f64 0 (/.f64 y x)))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 y x))))) (/.f64 (*.f64 y y) (*.f64 x x)))
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (*.f64 0 (/.f64 y x)) (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 y x))))) (/.f64 (*.f64 y y) (*.f64 x x)))
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (*.f64 0 (/.f64 y x)) (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (*.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x))))
(fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(+.f64 1 (fma.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (fma.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 0 (/.f64 x y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 -1 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))))
(fma.f64 (/.f64 x y) (/.f64 x y) (+.f64 -1 (/.f64 x (*.f64 (/.f64 y x) y))))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 0 (/.f64 x y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 -1 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))))
(fma.f64 (/.f64 x y) (/.f64 x y) (+.f64 -1 (/.f64 x (*.f64 (/.f64 y x) y))))
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 0 (/.f64 x y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 -1 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))))
(fma.f64 (/.f64 x y) (/.f64 x y) (+.f64 -1 (/.f64 x (*.f64 (/.f64 y x) y))))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 0 (/.f64 x y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 -1 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))))
(fma.f64 (/.f64 x y) (/.f64 x y) (+.f64 -1 (/.f64 x (*.f64 (/.f64 y x) y))))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓27.5b
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
Compiler

Compiled 28 to 6 computations (78.6% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite60.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
765×prod-diff_binary64
442×log-prod_binary64
395×fma-def_binary64
292×pow-prod-down_binary64
223×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0716
116913
2270310
Stop Event
1×node limit
Counts
1 → 59
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 x y) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (pow.f64 (/.f64 x y) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)) (/.f64 1 (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -2) (-.f64 (*.f64 x x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (*.f64 (-.f64 x y) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (*.f64 x x) y) y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 (/.f64 (*.f64 x x) y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) y) (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) 1) (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) 1) (/.f64 (-.f64 x y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cbrt.f64 y) y)) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) (*.f64 (cbrt.f64 y) y)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 (cbrt.f64 y) y)) (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (*.f64 (cbrt.f64 y) y)) (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 3) (pow.f64 y 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) -1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 3) (pow.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (pow.f64 y -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (/.f64 x y) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) 2) (cbrt.f64 (pow.f64 (/.f64 x y) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (/.f64 x y) 2)) (sqrt.f64 (pow.f64 (/.f64 x y) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (/.f64 (*.f64 x x) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (*.f64 (cbrt.f64 y) y)) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) (/.f64 x y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x 1) (/.f64 x (*.f64 y y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 y y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (*.f64 (cbrt.f64 y) y)) (/.f64 x (pow.f64 (cbrt.f64 y) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2)) -1)))))

simplify69.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
840×fma-neg_binary64
570×unswap-sqr_binary64
555×times-frac_binary64
479×fma-def_binary64
393×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
010267
121267
235231
382231
4323231
52619231
64088231
75165231
87656231
Stop Event
1×node limit
Counts
83 → 64
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
-1
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
-1
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
Outputs
-1
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 x (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 x (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 x (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
-1
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
-1
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 x y) (/.f64 x y) -1)
(fma.f64 x (/.f64 x (*.f64 y y)) -1)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2))
✓11.8b
(*.f64 0 (/.f64 y x))
Compiler

Compiled 53 to 25 computations (52.8% saved)

series5.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite61.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
813×pow1_binary64
755×add-log-exp_binary64
754×log1p-expm1-u_binary64
754×expm1-log1p-u_binary64
740×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0914
118911
2211911
Stop Event
1×node limit
Counts
2 → 31
Calls
Call 1
Inputs
(*.f64 0 (/.f64 y x))
(*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 y x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 x (*.f64 (/.f64 y x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y x) -2) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (*.f64 y -2) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y -2) (/.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -2) (*.f64 (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 y -2) (/.f64 y x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 y -2)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (*.f64 y -2)) (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y -2) y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y -2) 1) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y -2) (neg.f64 y)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 y -2) (/.f64 y x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 y -2) (/.f64 y x)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 y -2) (/.f64 y x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (*.f64 (/.f64 y x) -2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y x) (*.f64 y -2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 y x) -2) (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 (/.f64 y x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (pow.f64 (/.f64 y x) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (/.f64 y x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y x) (sqrt.f64 -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -2 (pow.f64 (/.f64 y x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 y x) 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 (/.f64 y x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) 3) (pow.f64 (*.f64 (/.f64 y x) -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y x) -2) 3) (pow.f64 (/.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 (/.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 (/.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 (/.f64 y x) 2))))))))

simplify134.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
707×*-commutative_binary64
638×associate-/l*_binary64
574×sqr-pow_binary64
396×associate-/r*_binary64
328×associate-/l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010336
121336
245336
3132336
4669336
54192336
64800336
75012336
85217336
95453336
105773336
116580336
127106336
137754336
Stop Event
1×node limit
Counts
79 → 33
Calls
Call 1
Inputs
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
Outputs
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 y (/.f64 (*.f64 y (/.f64 -2 x)) x))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 y (/.f64 (*.f64 y (/.f64 -2 x)) x))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 y (/.f64 (*.f64 y (/.f64 -2 x)) x))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 y (/.f64 (*.f64 y (/.f64 -2 x)) x))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 y (/.f64 (*.f64 y (/.f64 -2 x)) x))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 y (/.f64 (*.f64 y (/.f64 -2 x)) x))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 y (/.f64 (*.f64 y (/.f64 -2 x)) x))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 y (/.f64 (*.f64 y (/.f64 -2 x)) x))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 y (/.f64 (*.f64 y (/.f64 -2 x)) x))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 y (/.f64 (*.f64 y (/.f64 -2 x)) x))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 y (/.f64 (*.f64 y (/.f64 -2 x)) x))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 y (/.f64 (*.f64 y (/.f64 -2 x)) x))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 y (/.f64 (*.f64 y (/.f64 -2 x)) x))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 y (/.f64 (*.f64 y (/.f64 -2 x)) x))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 y (/.f64 (*.f64 y (/.f64 -2 x)) x))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 y (/.f64 (*.f64 y (/.f64 -2 x)) x))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 y (/.f64 (*.f64 y (/.f64 -2 x)) x))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 y (/.f64 (*.f64 y (/.f64 -2 x)) x))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 y (/.f64 (*.f64 y (/.f64 -2 x)) x))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 y (/.f64 (*.f64 y (/.f64 -2 x)) x))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 y (/.f64 (*.f64 y (/.f64 -2 x)) x))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 y (/.f64 (*.f64 y (/.f64 -2 x)) x))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 y (/.f64 (*.f64 y (/.f64 -2 x)) x))
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 y (/.f64 (*.f64 y (/.f64 -2 x)) x))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 42 to 8 computations (81% saved)

series16.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
(/.f64 x (/.f64 (+.f64 x y) (hypot.f64 x y)))
2.0ms
y
@inf
(/.f64 x (/.f64 (+.f64 x y) (hypot.f64 x y)))
1.0ms
y
@inf
(/.f64 (-.f64 x y) (/.f64 x (/.f64 (+.f64 x y) (hypot.f64 x y))))
1.0ms
y
@0
(/.f64 (-.f64 x y) (/.f64 x (/.f64 (+.f64 x y) (hypot.f64 x y))))
1.0ms
x
@0
(/.f64 x (/.f64 (+.f64 x y) (hypot.f64 x y)))

rewrite87.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
722×log-prod_binary64
314×pow2_binary64
298×fma-def_binary64
285×log-div_binary64
220×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
122032
2379832
Stop Event
1×node limit
Counts
2 → 125
Calls
Call 1
Inputs
(/.f64 x (/.f64 (+.f64 x y) (hypot.f64 x y)))
(/.f64 (-.f64 x y) (/.f64 x (/.f64 (+.f64 x y) (hypot.f64 x y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (hypot.f64 x y) (/.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (hypot.f64 x y) (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (hypot.f64 x y) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (hypot.f64 x y) (+.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (hypot.f64 x y) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 x y) (/.f64 x (+.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (hypot.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x y) (/.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (hypot.f64 x y) (/.f64 x (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (hypot.f64 x y) (/.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (hypot.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (hypot.f64 x y) (/.f64 x (+.f64 x y)))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 x y) (/.f64 x (+.f64 x y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 x y) (/.f64 x (+.f64 x y))) 2)) (cbrt.f64 (*.f64 (hypot.f64 x y) (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (hypot.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (hypot.f64 x y) (/.f64 x (+.f64 x y)))) (sqrt.f64 (*.f64 (hypot.f64 x y) (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 (+.f64 x y)) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) x)))) 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(sqrt.f64 x) (cbrt.f64 (*.f64 (hypot.f64 x y) (/.f64 x (+.f64 x y))))) (neg.f64 (*.f64 y (/.f64 (+.f64 x y) (*.f64 x (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (*.f64 (hypot.f64 x y) (/.f64 x (+.f64 x y))))) (/.f64 x (sqrt.f64 (*.f64 (hypot.f64 x y) (/.f64 x (+.f64 x y))))) (neg.f64 (*.f64 y (/.f64 (+.f64 x y) (*.f64 x (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 (hypot.f64 x y) (/.f64 x (+.f64 x y))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 (hypot.f64 x y) (/.f64 x (+.f64 x y))))) (neg.f64 (*.f64 y (/.f64 (+.f64 x y) (*.f64 x (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (hypot.f64 x y) (/.f64 x (+.f64 x y))))) (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (hypot.f64 x y) (/.f64 x (+.f64 x y))))) (neg.f64 (*.f64 y (/.f64 (+.f64 x y) (*.f64 x (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (/.f64 x (+.f64 x y))) (/.f64 x (hypot.f64 x y)) (neg.f64 (*.f64 y (/.f64 (+.f64 x y) (*.f64 x (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 x (+.f64 x y))) (/.f64 (cbrt.f64 x) (hypot.f64 x y)) (neg.f64 (*.f64 y (/.f64 (+.f64 x y) (*.f64 x (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (/.f64 x (+.f64 x y))) (/.f64 (sqrt.f64 x) (hypot.f64 x y)) (neg.f64 (*.f64 y (/.f64 (+.f64 x y) (*.f64 x (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x 1) (/.f64 (+.f64 x y) (*.f64 x (hypot.f64 x y))) (neg.f64 (*.f64 y (/.f64 (+.f64 x y) (*.f64 x (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x x) (/.f64 (+.f64 x y) (hypot.f64 x y)) (neg.f64 (*.f64 y (/.f64 (+.f64 x y) (*.f64 x (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (neg.f64 x)) (/.f64 (neg.f64 (+.f64 x y)) (hypot.f64 x y)) (neg.f64 (*.f64 y (/.f64 (+.f64 x y) (*.f64 x (hypot.f64 x y))))))))))

simplify62.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
845×associate-/l*_binary64
632×associate-/r*_binary64
614×associate-*r*_binary64
559×associate-*l*_binary64
320×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01981231
16751095
22585965
Stop Event
1×node limit
Counts
173 → 193
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) x)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) x))
(+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) x)))
x
(+.f64 (*.f64 -1 y) x)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1 y) x)) (*.f64 -1 (/.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1 y) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 2)))) (pow.f64 x 2))) x))) (*.f64 -1 (/.f64 (pow.f64 y 2) x)))
(*.f64 -1 x)
(+.f64 y (*.f64 -1 x))
(-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (*.f64 -1 x))) (/.f64 (pow.f64 y 2) x))
(-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1/2 (pow.f64 y 2)) (pow.f64 y 2))) (pow.f64 x 2))) (*.f64 -1 x)))) (/.f64 (pow.f64 y 2) x))
x
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1 y) x))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 -1 y) x)))
x
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) x)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) x)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 x (-.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 -1 (pow.f64 x 3)))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) x))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (/.f64 (pow.f64 x 2) y))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1 x) (/.f64 (pow.f64 x 2) y))) (/.f64 (pow.f64 x 3) (pow.f64 y 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 3)) (pow.f64 x 3)) x) (pow.f64 y 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1 x) (/.f64 (pow.f64 x 2) y)))) (/.f64 (pow.f64 x 3) (pow.f64 y 2)))
(*.f64 -1 (/.f64 y x))
(+.f64 (*.f64 3/2 (/.f64 x y)) (*.f64 -1 (/.f64 y x)))
(+.f64 (*.f64 3/2 (/.f64 x y)) (+.f64 (*.f64 -7/8 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 y x))))
(+.f64 (*.f64 11/16 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 3/2 (/.f64 x y)) (+.f64 (*.f64 -7/8 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 y x)))))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) x)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) x)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
1
(+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1)
(+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 7/8 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 7/8 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -11/16 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(*.f64 -1 (/.f64 y x))
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 y x))) (*.f64 -1/2 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 x (*.f64 -1/2 x)) (pow.f64 x 2))) (*.f64 1/8 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 -1 (/.f64 y x)))) (*.f64 -1/2 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 x (*.f64 -1/2 x)) (pow.f64 x 2))) (*.f64 1/8 (pow.f64 x 3))) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 x (*.f64 -1/2 x)) (pow.f64 x 2))) (*.f64 1/8 (pow.f64 x 3))) (pow.f64 x 2))) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 x (*.f64 -1/2 x)) (pow.f64 x 4))) (*.f64 -1/16 (pow.f64 x 5)))) (pow.f64 y 5))) (*.f64 -1 (/.f64 y x))))) (*.f64 -1/2 (/.f64 x y)))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1/2 x)) y)))
(+.f64 (/.f64 y x) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 x (*.f64 -1/2 x)) (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1/2 x)) y)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 x (*.f64 -1/2 x)) (pow.f64 x 2))) (*.f64 1/8 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 x (*.f64 -1/2 x)) (pow.f64 x 4)) (pow.f64 y 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 x (*.f64 -1/2 x)) (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1/2 x)) y))))))))
Outputs
x
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) x)
(fma.f64 -1 (/.f64 (*.f64 x x) y) x)
(-.f64 x (/.f64 x (/.f64 y x)))
(-.f64 x (*.f64 (/.f64 x y) x))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) x))
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 3/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) x))
(-.f64 (fma.f64 3/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) x) (/.f64 x (/.f64 y x)))
(-.f64 (fma.f64 3/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) x) (*.f64 (/.f64 x y) x))
(+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) x)))
(fma.f64 -3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 3/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) x)))
(fma.f64 -3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (-.f64 (fma.f64 3/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) x) (/.f64 x (/.f64 y x))))
(fma.f64 -3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (-.f64 (fma.f64 3/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) x) (*.f64 (/.f64 x y) x)))
x
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1 y) x)) (*.f64 -1 (/.f64 (pow.f64 y 2) x)))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 y y) x) (fma.f64 -1 y x)) (/.f64 (neg.f64 (*.f64 y y)) x))
(+.f64 (/.f64 (*.f64 y y) x) (fma.f64 1/2 (/.f64 (*.f64 y y) x) (-.f64 x y)))
(fma.f64 3/2 (*.f64 (/.f64 y x) y) (-.f64 x y))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1 y) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 2)))) (pow.f64 x 2))) x))) (*.f64 -1 (/.f64 (pow.f64 y 2) x)))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 y y) x) (fma.f64 -1 y (fma.f64 -1 (/.f64 (*.f64 y (*.f64 (*.f64 y y) 3/2)) (*.f64 x x)) x))) (/.f64 (neg.f64 (*.f64 y y)) x))
(+.f64 (/.f64 (*.f64 y y) x) (fma.f64 1/2 (/.f64 (*.f64 y y) x) (-.f64 (-.f64 x (/.f64 (*.f64 (pow.f64 y 3) 3/2) (*.f64 x x))) y)))
(fma.f64 3/2 (*.f64 (/.f64 y x) y) (fma.f64 -3/2 (/.f64 (pow.f64 y 3) (*.f64 x x)) (-.f64 x y)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 y (*.f64 -1 x))
(+.f64 y (neg.f64 x))
(-.f64 y x)
(-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (*.f64 -1 x))) (/.f64 (pow.f64 y 2) x))
(+.f64 y (-.f64 (fma.f64 -1/2 (/.f64 (*.f64 y y) x) (neg.f64 x)) (/.f64 (*.f64 y y) x)))
(+.f64 y (-.f64 (fma.f64 (/.f64 (*.f64 y y) x) -1/2 (neg.f64 x)) (/.f64 (*.f64 y y) x)))
(+.f64 y (+.f64 (neg.f64 x) (/.f64 -3/2 (/.f64 x (*.f64 y y)))))
(-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1/2 (pow.f64 y 2)) (pow.f64 y 2))) (pow.f64 x 2))) (*.f64 -1 x)))) (/.f64 (pow.f64 y 2) x))
(-.f64 (+.f64 y (fma.f64 -1/2 (/.f64 (*.f64 y y) x) (*.f64 -1 (+.f64 (/.f64 (*.f64 y (-.f64 (*.f64 (*.f64 y y) -1/2) (*.f64 y y))) (*.f64 x x)) x)))) (/.f64 (*.f64 y y) x))
(+.f64 (-.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) x) -1/2) (*.f64 -3/2 (/.f64 (pow.f64 y 3) (*.f64 x x)))) x) (-.f64 y (/.f64 (*.f64 y y) x)))
(+.f64 y (+.f64 (-.f64 (*.f64 3/2 (/.f64 (pow.f64 y 3) (*.f64 x x))) x) (/.f64 -3/2 (/.f64 x (*.f64 y y)))))
x
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1 y) x))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 y y) x) (fma.f64 -1 y x)) (/.f64 (neg.f64 (*.f64 y y)) x))
(+.f64 (/.f64 (*.f64 y y) x) (fma.f64 1/2 (/.f64 (*.f64 y y) x) (-.f64 x y)))
(fma.f64 3/2 (*.f64 (/.f64 y x) y) (-.f64 x y))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 -1 y) x)))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 y y) x) (fma.f64 -1 y (fma.f64 -1 (/.f64 (*.f64 y (*.f64 (*.f64 y y) 3/2)) (*.f64 x x)) x))) (/.f64 (neg.f64 (*.f64 y y)) x))
(+.f64 (/.f64 (*.f64 y y) x) (fma.f64 1/2 (/.f64 (*.f64 y y) x) (-.f64 (-.f64 x (/.f64 (*.f64 (pow.f64 y 3) 3/2) (*.f64 x x))) y)))
(fma.f64 3/2 (*.f64 (/.f64 y x) y) (fma.f64 -3/2 (/.f64 (pow.f64 y 3) (*.f64 x x)) (-.f64 x y)))
x
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) x)
(fma.f64 -1 (/.f64 (*.f64 x x) y) x)
(-.f64 x (/.f64 x (/.f64 y x)))
(-.f64 x (*.f64 (/.f64 x y) x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) x)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 3/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) x))
(-.f64 (fma.f64 3/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) x) (/.f64 x (/.f64 y x)))
(-.f64 (fma.f64 3/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) x) (*.f64 (/.f64 x y) x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 x (-.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 -1 (pow.f64 x 3)))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) x))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))
(fma.f64 -3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 3/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) x)))
(fma.f64 -3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (-.f64 (fma.f64 3/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) x) (/.f64 x (/.f64 y x))))
(fma.f64 -3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (-.f64 (fma.f64 3/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) x) (*.f64 (/.f64 x y) x)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 x (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 x (/.f64 y x)) x)
(-.f64 (*.f64 (/.f64 x y) x) x)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1 x) (/.f64 (pow.f64 x 2) y))) (/.f64 (pow.f64 x 3) (pow.f64 y 2)))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -1 x (/.f64 (*.f64 x x) y))) (/.f64 (pow.f64 x 3) (*.f64 y y)))
(-.f64 (fma.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) -1/2 (-.f64 (/.f64 x (/.f64 y x)) x)) (/.f64 (pow.f64 x 3) (*.f64 y y)))
(+.f64 (-.f64 (*.f64 (/.f64 x y) x) x) (/.f64 (*.f64 (pow.f64 x 3) -3/2) (*.f64 y y)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 3)) (pow.f64 x 3)) x) (pow.f64 y 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1 x) (/.f64 (pow.f64 x 2) y)))) (/.f64 (pow.f64 x 3) (pow.f64 y 2)))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 x 3) -1/2) (pow.f64 x 3))) (pow.f64 y 3)) (fma.f64 -1/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -1 x (/.f64 (*.f64 x x) y)))) (/.f64 (pow.f64 x 3) (*.f64 y y)))
(-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) -1/2 (-.f64 (/.f64 x (/.f64 y x)) x)) (/.f64 (*.f64 (pow.f64 x 3) -3/2) (/.f64 (pow.f64 y 3) x))) (/.f64 (pow.f64 x 3) (*.f64 y y)))
(+.f64 (+.f64 (-.f64 (*.f64 (/.f64 x y) x) x) (/.f64 (*.f64 (pow.f64 x 3) -3/2) (*.f64 y y))) (*.f64 3/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (*.f64 3/2 (/.f64 x y)) (*.f64 -1 (/.f64 y x)))
(fma.f64 3/2 (/.f64 x y) (/.f64 (neg.f64 y) x))
(-.f64 (*.f64 3/2 (/.f64 x y)) (/.f64 y x))
(+.f64 (*.f64 3/2 (/.f64 x y)) (+.f64 (*.f64 -7/8 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 y x))))
(fma.f64 3/2 (/.f64 x y) (fma.f64 -7/8 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (neg.f64 y) x)))
(-.f64 (fma.f64 3/2 (/.f64 x y) (/.f64 -7/8 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) (/.f64 y x))
(+.f64 (*.f64 11/16 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 3/2 (/.f64 x y)) (+.f64 (*.f64 -7/8 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 y x)))))
(fma.f64 11/16 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 3/2 (/.f64 x y) (fma.f64 -7/8 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (neg.f64 y) x))))
(fma.f64 11/16 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (-.f64 (fma.f64 3/2 (/.f64 x y) (/.f64 -7/8 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) (/.f64 y x)))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (+.f64 (/.f64 y x) 1) (/.f64 (neg.f64 y) x))
(+.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))
(+.f64 1 (*.f64 0 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x))) (/.f64 (*.f64 (*.f64 y y) 1/2) (*.f64 x x))))
(+.f64 (/.f64 y x) (+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (*.f64 (/.f64 (*.f64 y y) x) (/.f64 -1/2 x))))
(+.f64 (/.f64 y x) (+.f64 (*.f64 (/.f64 y x) (-.f64 -1 (/.f64 y x))) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x))) (/.f64 (*.f64 (*.f64 y y) 1/2) (*.f64 x x))))
(+.f64 (/.f64 y x) (+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (*.f64 (/.f64 (*.f64 y y) x) (/.f64 -1/2 x))))
(+.f64 (/.f64 y x) (+.f64 (*.f64 (/.f64 y x) (-.f64 -1 (/.f64 y x))) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)))
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) x)) 1)
-1
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 0 y) x) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) 1))
(+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (-.f64 (/.f64 0 x) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)))
(fma.f64 (/.f64 y x) (/.f64 y x) (+.f64 -1 (*.f64 1/2 (*.f64 (/.f64 y x) (/.f64 y x)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) x)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 0 y) x) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) 1))
(+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (-.f64 (/.f64 0 x) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)))
(fma.f64 (/.f64 y x) (/.f64 y x) (+.f64 -1 (*.f64 1/2 (*.f64 (/.f64 y x) (/.f64 y x)))))
1
(+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1)
(fma.f64 -3/2 (/.f64 (*.f64 y y) (*.f64 x x)) 1)
(fma.f64 -3/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)
(+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 7/8 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(fma.f64 -3/2 (/.f64 (*.f64 y y) (*.f64 x x)) (+.f64 1 (*.f64 7/8 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(fma.f64 -3/2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 7/8 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) 1))
(+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 7/8 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -11/16 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(+.f64 (fma.f64 -3/2 (/.f64 (*.f64 y y) (*.f64 x x)) 1) (fma.f64 7/8 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -11/16 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))
(+.f64 (fma.f64 -3/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (fma.f64 7/8 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 -11/16 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 y x))) (*.f64 -1/2 (/.f64 x y)))
(fma.f64 3/2 (/.f64 x y) (/.f64 (neg.f64 y) x))
(-.f64 (*.f64 3/2 (/.f64 x y)) (/.f64 y x))
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 x (*.f64 -1/2 x)) (pow.f64 x 2))) (*.f64 1/8 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 -1 (/.f64 y x)))) (*.f64 -1/2 (/.f64 x y)))
(+.f64 (/.f64 x y) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (*.f64 x x) (+.f64 x (*.f64 1/2 x))) (*.f64 (pow.f64 x 3) 1/8)) (pow.f64 y 3)) (/.f64 (neg.f64 y) x)) (*.f64 -1/2 (/.f64 x y))))
(+.f64 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 (fma.f64 1/2 (*.f64 3/2 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 1/8)) (pow.f64 y 3))) (*.f64 3/2 (/.f64 x y)))
(+.f64 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 (fma.f64 (pow.f64 x 3) 1/8 (*.f64 (pow.f64 x 3) 3/4)) (pow.f64 y 3))) (*.f64 3/2 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 x (*.f64 -1/2 x)) (pow.f64 x 2))) (*.f64 1/8 (pow.f64 x 3))) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 x (*.f64 -1/2 x)) (pow.f64 x 2))) (*.f64 1/8 (pow.f64 x 3))) (pow.f64 x 2))) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 x (*.f64 -1/2 x)) (pow.f64 x 4))) (*.f64 -1/16 (pow.f64 x 5)))) (pow.f64 y 5))) (*.f64 -1 (/.f64 y x))))) (*.f64 -1/2 (/.f64 x y)))
(+.f64 (/.f64 x y) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (*.f64 x x) (+.f64 x (*.f64 1/2 x))) (*.f64 (pow.f64 x 3) 1/8)) (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 (fma.f64 -1/2 (*.f64 (*.f64 x x) (fma.f64 1/2 (*.f64 (*.f64 x x) (+.f64 x (*.f64 1/2 x))) (*.f64 (pow.f64 x 3) 1/8))) (fma.f64 -1/8 (*.f64 (pow.f64 x 4) (+.f64 x (*.f64 1/2 x))) (*.f64 (pow.f64 x 5) -1/16))) (pow.f64 y 5)) (/.f64 y x)))) (*.f64 -1/2 (/.f64 x y))))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 (fma.f64 -1/2 (*.f64 x (*.f64 x (fma.f64 1/2 (*.f64 3/2 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 1/8)))) (fma.f64 -1/8 (*.f64 (pow.f64 x 4) (*.f64 x 3/2)) (*.f64 (pow.f64 x 5) -1/16))) (pow.f64 y 5))) (/.f64 (fma.f64 1/2 (*.f64 3/2 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 1/8)) (pow.f64 y 3))) (*.f64 3/2 (/.f64 x y)))
(+.f64 (-.f64 (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1/8 (*.f64 (pow.f64 x 3) 3/4)) (pow.f64 y 3)) (/.f64 (fma.f64 -1/2 (+.f64 (*.f64 (pow.f64 x 4) (*.f64 x 3/4)) (*.f64 1/8 (pow.f64 x 5))) (fma.f64 (pow.f64 x 5) -1/16 (*.f64 (pow.f64 x 4) (*.f64 x -3/16)))) (pow.f64 y 5)))) (*.f64 3/2 (/.f64 x y)))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1/2 x)) y)))
(+.f64 (/.f64 y x) (neg.f64 (/.f64 (+.f64 x (*.f64 1/2 x)) y)))
(-.f64 (/.f64 y x) (*.f64 3/2 (/.f64 x y)))
(+.f64 (/.f64 y x) (*.f64 -3/2 (/.f64 x y)))
(+.f64 (/.f64 y x) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 x (*.f64 -1/2 x)) (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1/2 x)) y)))))
(+.f64 (/.f64 y x) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 x x) (+.f64 x (*.f64 1/2 x))) (pow.f64 y 3)) (fma.f64 1/8 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (neg.f64 (/.f64 (+.f64 x (*.f64 1/2 x)) y)))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 3/2 (pow.f64 x 3)) (pow.f64 y 3)) (/.f64 1/8 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) (-.f64 (/.f64 y x) (*.f64 3/2 (/.f64 x y))))
(+.f64 (/.f64 (*.f64 (pow.f64 x 3) 3/4) (pow.f64 y 3)) (+.f64 (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) 1/8 (*.f64 -3/2 (/.f64 x y))) (/.f64 y x)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 x (*.f64 -1/2 x)) (pow.f64 x 2))) (*.f64 1/8 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 x (*.f64 -1/2 x)) (pow.f64 x 4)) (pow.f64 y 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 x (*.f64 -1/2 x)) (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1/2 x)) y))))))))
(fma.f64 -1/2 (/.f64 (fma.f64 1/2 (*.f64 (*.f64 x x) (+.f64 x (*.f64 1/2 x))) (*.f64 (pow.f64 x 3) 1/8)) (/.f64 (pow.f64 y 5) (*.f64 x x))) (+.f64 (/.f64 y x) (fma.f64 -1/8 (/.f64 (+.f64 x (*.f64 1/2 x)) (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 x x) (+.f64 x (*.f64 1/2 x))) (pow.f64 y 3)) (fma.f64 -1/16 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 1/8 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (neg.f64 (/.f64 (+.f64 x (*.f64 1/2 x)) y))))))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 x 3/2) (pow.f64 y 5)) (pow.f64 x 4)) (fma.f64 1/2 (/.f64 (*.f64 3/2 (pow.f64 x 3)) (pow.f64 y 3)) (-.f64 (fma.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) -1/16 (/.f64 1/8 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) (*.f64 3/2 (/.f64 x y))))) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 1/2 (*.f64 3/2 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 1/8)) (pow.f64 y 5)) (*.f64 x x)) (/.f64 y x)))
(+.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) -1/16 (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) 1/8 (*.f64 -3/2 (/.f64 x y)))) (fma.f64 -1/8 (/.f64 (*.f64 3/2 (pow.f64 x 5)) (pow.f64 y 5)) (/.f64 (*.f64 (pow.f64 x 3) 3/4) (pow.f64 y 3)))) (fma.f64 -1/2 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) (*.f64 x 3/4)) (*.f64 1/8 (pow.f64 x 5))) (pow.f64 y 5)) (/.f64 y x)))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 42 to 8 computations (81% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite80.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
832×prod-diff_binary64
683×log-prod_binary64
294×log-div_binary64
280×fma-def_binary64
210×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0932
121929
2370229
Stop Event
1×node limit
Counts
2 → 101
Calls
Call 1
Inputs
(/.f64 (hypot.f64 x y) (+.f64 x y))
(/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))
Outputs
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simplify73.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
832×fma-def_binary64
618×associate-/l*_binary64
611×associate-/r*_binary64
404×associate-*r*_binary64
349×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0163963
1563896
22167706
Stop Event
1×node limit
Counts
149 → 156
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(+.f64 1 (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 2)))) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
-1
(-.f64 (/.f64 y x) 1)
(-.f64 (+.f64 (/.f64 y x) (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1/2 (pow.f64 y 2)) (pow.f64 y 2))) (pow.f64 x 3))))) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x) (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) (pow.f64 x 2)) x) (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1))
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
Outputs
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (/.f64 (neg.f64 x) y))
(-.f64 1 (/.f64 x y))
(+.f64 1 (+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(+.f64 1 (fma.f64 3/2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (neg.f64 x) y)))
(+.f64 1 (fma.f64 3/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (neg.f64 x) y)))
(-.f64 (fma.f64 3/2 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (/.f64 x y))
(+.f64 1 (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
(+.f64 1 (fma.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 3/2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (neg.f64 x) y))))
(+.f64 1 (fma.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 3/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (neg.f64 x) y))))
(fma.f64 -3/2 (pow.f64 (/.f64 x y) 3) (-.f64 (fma.f64 3/2 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (/.f64 x y)))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (/.f64 (neg.f64 y) x))
(-.f64 1 (/.f64 y x))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(-.f64 (+.f64 1 (fma.f64 1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x))) (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 (-.f64 1 (/.f64 y x)) (/.f64 (*.f64 y y) (/.f64 (*.f64 x x) 1/2))))
(fma.f64 3/2 (/.f64 (/.f64 y (/.f64 x y)) x) (-.f64 1 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 2)))) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(-.f64 (+.f64 1 (fma.f64 1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y y) 3/2)) (pow.f64 x 3)) (/.f64 y x))))) (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 (-.f64 (/.f64 (*.f64 y y) (/.f64 (*.f64 x x) 1/2)) (/.f64 (*.f64 (pow.f64 y 3) 3/2) (pow.f64 x 3))) (-.f64 1 (/.f64 y x))))
(fma.f64 -3/2 (pow.f64 (/.f64 y x) 3) (fma.f64 3/2 (/.f64 (/.f64 y (/.f64 x y)) x) (-.f64 1 (/.f64 y x))))
-1
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(+.f64 -1 (/.f64 y x))
(-.f64 (+.f64 (/.f64 y x) (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -1/2) (+.f64 1 (/.f64 (*.f64 y y) (*.f64 x x)))))
(-.f64 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -1/2 (/.f64 y x)) (+.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 (*.f64 (/.f64 (/.f64 y (/.f64 x y)) x) -3/2) -1))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1/2 (pow.f64 y 2)) (pow.f64 y 2))) (pow.f64 x 3))))) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (-.f64 (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 y (-.f64 (*.f64 (*.f64 y y) -1/2) (*.f64 y y))) (pow.f64 x 3)))) (+.f64 1 (/.f64 (*.f64 y y) (*.f64 x x)))))
(-.f64 (-.f64 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -1/2 (/.f64 y x)) (*.f64 (/.f64 y (pow.f64 x 3)) (*.f64 (*.f64 y y) -3/2))) (+.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 (*.f64 3/2 (pow.f64 (/.f64 y x) 3)) (+.f64 (*.f64 (/.f64 (/.f64 y (/.f64 x y)) x) -3/2) -1)))
1
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(-.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(-.f64 (+.f64 1 (fma.f64 1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x))) (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 (-.f64 1 (/.f64 y x)) (/.f64 (*.f64 y y) (/.f64 (*.f64 x x) 1/2))))
(fma.f64 3/2 (/.f64 (/.f64 y (/.f64 x y)) x) (-.f64 1 (/.f64 y x)))
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(-.f64 (+.f64 1 (fma.f64 1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y y) 3/2)) (pow.f64 x 3)) (/.f64 y x))))) (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 (-.f64 (/.f64 (*.f64 y y) (/.f64 (*.f64 x x) 1/2)) (/.f64 (*.f64 (pow.f64 y 3) 3/2) (pow.f64 x 3))) (-.f64 1 (/.f64 y x))))
(fma.f64 -3/2 (pow.f64 (/.f64 y x) 3) (fma.f64 3/2 (/.f64 (/.f64 y (/.f64 x y)) x) (-.f64 1 (/.f64 y x))))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
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(-.f64 1 (/.f64 x y))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (fma.f64 3/2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (neg.f64 x) y)))
(+.f64 1 (fma.f64 3/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (neg.f64 x) y)))
(-.f64 (fma.f64 3/2 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (/.f64 x y))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x) (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (fma.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 3/2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (neg.f64 x) y))))
(+.f64 1 (fma.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 3/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (neg.f64 x) y))))
(fma.f64 -3/2 (pow.f64 (/.f64 x y) 3) (-.f64 (fma.f64 3/2 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (/.f64 x y)))
-1
(-.f64 (/.f64 x y) 1)
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(+.f64 -1 (/.f64 x y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1))
(+.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1/2) (+.f64 1 (/.f64 (*.f64 x x) (*.f64 y y)))))
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/2 (/.f64 x y)) (+.f64 1 (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -3/2) -1))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) (pow.f64 x 2)) x) (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1))
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (*.f64 (*.f64 x x) -1/2) (*.f64 x x)) (/.f64 (pow.f64 y 3) x)) (+.f64 (/.f64 x y) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1/2))) (+.f64 1 (/.f64 (*.f64 x x) (*.f64 y y))))
(+.f64 (-.f64 (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/2 (/.f64 x y)) (*.f64 (/.f64 (*.f64 (*.f64 x x) -3/2) (pow.f64 y 3)) x)) (*.f64 (/.f64 x y) (/.f64 x y))) -1)
(+.f64 (+.f64 (/.f64 x y) (*.f64 3/2 (pow.f64 (/.f64 x y) 3))) (+.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -3/2) -1))
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(+.f64 (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
(+.f64 (fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) -1)
(fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)))
(fma.f64 2 (+.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
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(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x)))) (/.f64 (*.f64 y y) (*.f64 x x)))
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(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x)))) (/.f64 (*.f64 y y) (*.f64 x x)))
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1
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(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x)))) (/.f64 (*.f64 y y) (*.f64 x x)))
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (+.f64 1 (*.f64 0 (/.f64 y x))) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x)))) (/.f64 (*.f64 y y) (*.f64 x x)))
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (+.f64 1 (*.f64 0 (/.f64 y x))) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x)))
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1)
(fma.f64 (/.f64 (/.f64 y (/.f64 x y)) x) -2 1)
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 (/.f64 -2 x) (/.f64 (*.f64 y y) x))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (fma.f64 (/.f64 (/.f64 y (/.f64 x y)) x) -2 1))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(+.f64 1 (fma.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(+.f64 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1) (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 (*.f64 -2 (pow.f64 y 6)) (pow.f64 x 6))))
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (+.f64 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (/.f64 (/.f64 y (/.f64 x y)) x)))))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)

eval630.0ms (6.5%)

Compiler

Compiled 41176 to 13058 computations (68.3% saved)

prune204.0ms (2.1%)

Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New1368101378
Fresh235
Picked101
Done448
Total1375171392
Error
0b
Counts
1392 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
✓25.2b
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))
31.7b
(/.f64 (-.f64 x y) (/.f64 (hypot.f64 x y) (/.f64 (+.f64 x y) (-.f64 (*.f64 (/.f64 -1/2 y) (*.f64 x x)) y))))
19.5b
(*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))
19.5b
(-.f64 (pow.f64 (/.f64 x y) 2) 1)
43.4b
(fma.f64 -3/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)
✓24.8b
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
✓0.0b
(/.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y)) (hypot.f64 x y))
✓0.0b
(/.f64 (-.f64 x y) (/.f64 (hypot.f64 x y) (/.f64 (+.f64 x y) (hypot.f64 x y))))
42.7b
(/.f64 (fma.f64 (*.f64 (/.f64 y x) y) -3/2 x) (hypot.f64 x y))
43.2b
(+.f64 (+.f64 1 0) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
43.6b
(/.f64 (-.f64 x y) (/.f64 x (/.f64 (+.f64 x y) x)))
19.4b
(fma.f64 (/.f64 x y) (/.f64 x y) (+.f64 -1 (/.f64 x (*.f64 (/.f64 y x) y))))
43.8b
1
20.1b
-1
19.3b
(+.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) -1)
61.8b
(/.f64 y x)
61.8b
(/.f64 (-.f64 x y) (-.f64 (*.f64 (/.f64 x y) x) x))
Compiler

Compiled 218 to 127 computations (41.7% saved)

regimes54.0ms (0.6%)

Counts
34 → 1
Calls
Call 1
Inputs
1
-1
1
-1
1
(/.f64 y x)
(/.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))
(/.f64 (-.f64 x y) (/.f64 x (/.f64 (+.f64 x y) x)))
(/.f64 (-.f64 x y) (-.f64 (*.f64 (/.f64 x y) x) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
(+.f64 (+.f64 1 0) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(+.f64 (+.f64 1 (*.f64 0 (/.f64 y x))) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
(-.f64 (pow.f64 (/.f64 x y) 2) 1)
(+.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) -1)
(fma.f64 -3/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)
(/.f64 (-.f64 x y) (/.f64 x (/.f64 (+.f64 x y) (hypot.f64 x y))))
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) x))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
(fma.f64 (/.f64 x y) (/.f64 x y) (+.f64 -1 (/.f64 x (*.f64 (/.f64 y x) y))))
(/.f64 (-.f64 x y) (/.f64 (hypot.f64 x y) (/.f64 (+.f64 x y) (-.f64 (*.f64 (/.f64 -1/2 y) (*.f64 x x)) y))))
(/.f64 (fma.f64 (*.f64 (/.f64 y x) y) -3/2 x) (hypot.f64 x y))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2))
(/.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y)) (hypot.f64 x y))
(/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))
(/.f64 (-.f64 x y) (/.f64 (hypot.f64 x y) (/.f64 (+.f64 x y) (hypot.f64 x y))))
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(*.f64 (-.f64 x y) (*.f64 (/.f64 1 (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))))
(*.f64 (-.f64 x y) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) 2))
Outputs
(/.f64 (-.f64 x y) (/.f64 (hypot.f64 x y) (/.f64 (+.f64 x y) (hypot.f64 x y))))
Calls

4 calls:

19.0ms
y
18.0ms
x
4.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
4.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
0.0b1(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Compiler

Compiled 406 to 140 computations (65.5% saved)

regimes50.0ms (0.5%)

Counts
30 → 1
Calls
Call 1
Inputs
1
-1
1
-1
1
(/.f64 y x)
(/.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))
(/.f64 (-.f64 x y) (/.f64 x (/.f64 (+.f64 x y) x)))
(/.f64 (-.f64 x y) (-.f64 (*.f64 (/.f64 x y) x) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
(+.f64 (+.f64 1 0) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(+.f64 (+.f64 1 (*.f64 0 (/.f64 y x))) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
(-.f64 (pow.f64 (/.f64 x y) 2) 1)
(+.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) -1)
(fma.f64 -3/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)
(/.f64 (-.f64 x y) (/.f64 x (/.f64 (+.f64 x y) (hypot.f64 x y))))
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) x))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
(fma.f64 (/.f64 x y) (/.f64 x y) (+.f64 -1 (/.f64 x (*.f64 (/.f64 y x) y))))
(/.f64 (-.f64 x y) (/.f64 (hypot.f64 x y) (/.f64 (+.f64 x y) (-.f64 (*.f64 (/.f64 -1/2 y) (*.f64 x x)) y))))
(/.f64 (fma.f64 (*.f64 (/.f64 y x) y) -3/2 x) (hypot.f64 x y))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2))
(/.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y)) (hypot.f64 x y))
(/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))
Outputs
(/.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y)) (hypot.f64 x y))
Calls

4 calls:

18.0ms
x
16.0ms
y
4.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
4.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
0.0b1(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Compiler

Compiled 345 to 128 computations (62.9% saved)

regimes142.0ms (1.5%)

Counts
28 → 4
Calls
Call 1
Inputs
1
-1
1
-1
1
(/.f64 y x)
(/.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))
(/.f64 (-.f64 x y) (/.f64 x (/.f64 (+.f64 x y) x)))
(/.f64 (-.f64 x y) (-.f64 (*.f64 (/.f64 x y) x) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
(+.f64 (+.f64 1 0) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(+.f64 (+.f64 1 (*.f64 0 (/.f64 y x))) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
(-.f64 (pow.f64 (/.f64 x y) 2) 1)
(+.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) -1)
(fma.f64 -3/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)
(/.f64 (-.f64 x y) (/.f64 x (/.f64 (+.f64 x y) (hypot.f64 x y))))
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) x))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
(fma.f64 (/.f64 x y) (/.f64 x y) (+.f64 -1 (/.f64 x (*.f64 (/.f64 y x) y))))
(/.f64 (-.f64 x y) (/.f64 (hypot.f64 x y) (/.f64 (+.f64 x y) (-.f64 (*.f64 (/.f64 -1/2 y) (*.f64 x x)) y))))
(/.f64 (fma.f64 (*.f64 (/.f64 y x) y) -3/2 x) (hypot.f64 x y))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2))
Outputs
-1
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2))
(/.f64 (fma.f64 (*.f64 (/.f64 y x) y) -3/2 x) (hypot.f64 x y))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Calls

4 calls:

69.0ms
y
54.0ms
x
5.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
5.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Results
ErrorSegmentsBranch
10.5b4x
5.2b4y
5.7b2(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
5.7b2(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Compiler

Compiled 315 to 124 computations (60.6% saved)

bsearch87.0ms (0.9%)

Algorithm
3×binary-search
Steps
TimeLeftRight
23.0ms
1.376314918115908e-165
1.1451781175868773e-145
36.0ms
-2.257267663372278e-151
-2.630374657920581e-152
27.0ms
-5.726262683471879e+36
-1.7414780021678085e+34
Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes141.0ms (1.5%)

Counts
27 → 4
Calls
Call 1
Inputs
1
-1
1
-1
1
(/.f64 y x)
(/.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))
(/.f64 (-.f64 x y) (/.f64 x (/.f64 (+.f64 x y) x)))
(/.f64 (-.f64 x y) (-.f64 (*.f64 (/.f64 x y) x) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
(+.f64 (+.f64 1 0) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(+.f64 (+.f64 1 (*.f64 0 (/.f64 y x))) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
(-.f64 (pow.f64 (/.f64 x y) 2) 1)
(+.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) -1)
(fma.f64 -3/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)
(/.f64 (-.f64 x y) (/.f64 x (/.f64 (+.f64 x y) (hypot.f64 x y))))
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) x))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
(fma.f64 (/.f64 x y) (/.f64 x y) (+.f64 -1 (/.f64 x (*.f64 (/.f64 y x) y))))
(/.f64 (-.f64 x y) (/.f64 (hypot.f64 x y) (/.f64 (+.f64 x y) (-.f64 (*.f64 (/.f64 -1/2 y) (*.f64 x x)) y))))
(/.f64 (fma.f64 (*.f64 (/.f64 y x) y) -3/2 x) (hypot.f64 x y))
Outputs
-1
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 (*.f64 (/.f64 y x) y) -3/2 x) (hypot.f64 x y))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Calls

4 calls:

63.0ms
y
57.0ms
x
6.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
5.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Results
ErrorSegmentsBranch
10.5b4x
5.2b4y
5.7b2(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
5.7b2(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Compiler

Compiled 302 to 121 computations (59.9% saved)

bsearch69.0ms (0.7%)

Algorithm
3×binary-search
Steps
TimeLeftRight
23.0ms
1.376314918115908e-165
1.1451781175868773e-145
23.0ms
-2.257267663372278e-151
-2.630374657920581e-152
22.0ms
-5.612042516738587e+155
-5.682111170800464e+153
Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes128.0ms (1.3%)

Counts
26 → 4
Calls
Call 1
Inputs
1
-1
1
-1
1
(/.f64 y x)
(/.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))
(/.f64 (-.f64 x y) (/.f64 x (/.f64 (+.f64 x y) x)))
(/.f64 (-.f64 x y) (-.f64 (*.f64 (/.f64 x y) x) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
(+.f64 (+.f64 1 0) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(+.f64 (+.f64 1 (*.f64 0 (/.f64 y x))) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
(-.f64 (pow.f64 (/.f64 x y) 2) 1)
(+.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) -1)
(fma.f64 -3/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)
(/.f64 (-.f64 x y) (/.f64 x (/.f64 (+.f64 x y) (hypot.f64 x y))))
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) x))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
(fma.f64 (/.f64 x y) (/.f64 x y) (+.f64 -1 (/.f64 x (*.f64 (/.f64 y x) y))))
(/.f64 (-.f64 x y) (/.f64 (hypot.f64 x y) (/.f64 (+.f64 x y) (-.f64 (*.f64 (/.f64 -1/2 y) (*.f64 x x)) y))))
Outputs
-1
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(+.f64 (+.f64 1 0) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Calls

4 calls:

59.0ms
y
50.0ms
x
6.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
5.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Results
ErrorSegmentsBranch
10.5b4x
5.3b4y
5.7b2(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
5.7b2(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Compiler

Compiled 290 to 118 computations (59.3% saved)

bsearch78.0ms (0.8%)

Algorithm
3×binary-search
Steps
TimeLeftRight
32.0ms
1.376314918115908e-165
1.1451781175868773e-145
23.0ms
-2.257267663372278e-151
-2.630374657920581e-152
23.0ms
-5.612042516738587e+155
-5.682111170800464e+153
Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes80.0ms (0.8%)

Counts
15 → 3
Calls
Call 1
Inputs
1
-1
1
-1
1
(/.f64 y x)
(/.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))
(/.f64 (-.f64 x y) (/.f64 x (/.f64 (+.f64 x y) x)))
(/.f64 (-.f64 x y) (-.f64 (*.f64 (/.f64 x y) x) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
(+.f64 (+.f64 1 0) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x)))
Outputs
(*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))
(+.f64 (+.f64 1 0) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
(*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))
Calls

2 calls:

41.0ms
y
32.0ms
x
Results
ErrorSegmentsBranch
14.5b4x
7.7b3y
Compiler

Compiled 111 to 49 computations (55.9% saved)

bsearch46.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
2.2014603988379848e-203
8.49680242469897e-203
23.0ms
-2.257267663372278e-151
-2.630374657920581e-152
Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes58.0ms (0.6%)

Counts
12 → 3
Calls
Call 1
Inputs
1
-1
1
-1
1
(/.f64 y x)
(/.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))
(/.f64 (-.f64 x y) (/.f64 x (/.f64 (+.f64 x y) x)))
(/.f64 (-.f64 x y) (-.f64 (*.f64 (/.f64 x y) x) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
Outputs
(*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))
(/.f64 (-.f64 x y) (/.f64 x (/.f64 (+.f64 x y) x)))
(*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))
Calls

2 calls:

29.0ms
x
26.0ms
y
Results
ErrorSegmentsBranch
14.5b4x
7.9b3y
Compiler

Compiled 72 to 32 computations (55.6% saved)

bsearch84.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
59.0ms
2.2014603988379848e-203
8.49680242469897e-203
25.0ms
-2.257267663372278e-151
-2.630374657920581e-152
Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes51.0ms (0.5%)

Counts
9 → 3
Calls
Call 1
Inputs
1
-1
1
-1
1
(/.f64 y x)
(/.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))
Outputs
(*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))
1
(*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))
Calls

2 calls:

25.0ms
x
24.0ms
y
Results
ErrorSegmentsBranch
14.6b4x
8.0b3y
Compiler

Compiled 39 to 21 computations (46.2% saved)

bsearch70.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
45.0ms
2.2014603988379848e-203
8.49680242469897e-203
24.0ms
-2.257267663372278e-151
-2.630374657920581e-152
Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes106.0ms (1.1%)

Accuracy

Total -55.1b remaining (-670.6%)

Threshold costs -55.1b (-670.6%)

Counts
8 → 3
Calls
Call 1
Inputs
1
-1
1
-1
1
(/.f64 y x)
(/.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) (/.f64 1 x))
Outputs
-1
1
-1
Calls

2 calls:

75.0ms
x
29.0ms
y
Results
ErrorSegmentsBranch
15.0b4x
8.2b3y
Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch135.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
64.0ms
2.2014603988379848e-203
8.49680242469897e-203
71.0ms
-2.257267663372278e-151
-2.630374657920581e-152
Compiler

Compiled 22 to 13 computations (40.9% saved)

simplify64.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067461
183461
290461
394461
496461
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (/.f64 (hypot.f64 x y) (/.f64 (+.f64 x y) (hypot.f64 x y))))
(/.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y)) (hypot.f64 x y))
(if (<=.f64 y -5726262683471878524223236629589917696) -1 (if (<=.f64 y -3327673181379569/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2)) (if (<=.f64 y 1462026286183713024/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (/.f64 (fma.f64 (*.f64 (/.f64 y x) y) -3/2 x) (hypot.f64 x y)) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))))))
(if (<=.f64 y -561204251673858673830182407956178813885976316313053821058605858161089456047882435257135038081810363856133397963267976745797825188931807943377815235542908928) -1 (if (<=.f64 y -3327673181379569/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) (if (<=.f64 y 1462026286183713024/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (/.f64 (fma.f64 (*.f64 (/.f64 y x) y) -3/2 x) (hypot.f64 x y)) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))))))
(if (<=.f64 y -561204251673858673830182407956178813885976316313053821058605858161089456047882435257135038081810363856133397963267976745797825188931807943377815235542908928) -1 (if (<=.f64 y -3327673181379569/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) (if (<=.f64 y 1462026286183713024/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (+.f64 (+.f64 1 0) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2))) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))))))
(if (<=.f64 y -3327673181379569/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y)) (if (<=.f64 y 7957702266703140864/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (+.f64 (+.f64 1 0) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2))) (*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))))
(if (<=.f64 y -3327673181379569/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y)) (if (<=.f64 y 7957702266703140864/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (/.f64 (-.f64 x y) (/.f64 x (/.f64 (+.f64 x y) x))) (*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))))
(if (<=.f64 y -3327673181379569/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y)) (if (<=.f64 y 7957702266703140864/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) 1 (*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))))
(if (<=.f64 y -3327673181379569/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) -1 (if (<=.f64 y 7957702266703140864/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) 1 -1))
1
Outputs
(/.f64 (-.f64 x y) (/.f64 (hypot.f64 x y) (/.f64 (+.f64 x y) (hypot.f64 x y))))
(/.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y)) (hypot.f64 x y))
(/.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (hypot.f64 x y))) (hypot.f64 x y))
(if (<=.f64 y -5726262683471878524223236629589917696) -1 (if (<=.f64 y -3327673181379569/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2)) (if (<=.f64 y 1462026286183713024/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (/.f64 (fma.f64 (*.f64 (/.f64 y x) y) -3/2 x) (hypot.f64 x y)) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))))))
(if (<=.f64 y -5726262683471878524223236629589917696) -1 (if (<=.f64 y -3327673181379569/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2)) (if (<=.f64 y 5711040180405129/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376) (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) -3/2 x) (hypot.f64 x y)) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))))))
(if (<=.f64 y -561204251673858673830182407956178813885976316313053821058605858161089456047882435257135038081810363856133397963267976745797825188931807943377815235542908928) -1 (if (<=.f64 y -3327673181379569/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) (if (<=.f64 y 1462026286183713024/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (/.f64 (fma.f64 (*.f64 (/.f64 y x) y) -3/2 x) (hypot.f64 x y)) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))))))
(if (<=.f64 y -561204251673858673830182407956178813885976316313053821058605858161089456047882435257135038081810363856133397963267976745797825188931807943377815235542908928) -1 (if (<=.f64 y -3327673181379569/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) (if (<=.f64 y 5711040180405129/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376) (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) -3/2 x) (hypot.f64 x y)) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))))))
(if (<=.f64 y -561204251673858673830182407956178813885976316313053821058605858161089456047882435257135038081810363856133397963267976745797825188931807943377815235542908928) -1 (if (<=.f64 y -3327673181379569/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) (if (<=.f64 y 1462026286183713024/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (+.f64 (+.f64 1 0) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2))) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))))))
(if (<=.f64 y -561204251673858673830182407956178813885976316313053821058605858161089456047882435257135038081810363856133397963267976745797825188931807943377815235542908928) -1 (if (<=.f64 y -3327673181379569/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) (if (<=.f64 y 5711040180405129/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376) (+.f64 1 (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2))) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))))))
(if (<=.f64 y -3327673181379569/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y)) (if (<=.f64 y 7957702266703140864/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (+.f64 (+.f64 1 0) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2))) (*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))))
(if (<=.f64 y -3327673181379569/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y)) (if (<=.f64 y 3885596809913643/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432) (+.f64 1 (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2))) (*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))))
(if (<=.f64 y -3327673181379569/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y)) (if (<=.f64 y 7957702266703140864/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (/.f64 (-.f64 x y) (/.f64 x (/.f64 (+.f64 x y) x))) (*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))))
(if (<=.f64 y -3327673181379569/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y)) (if (<=.f64 y 3885596809913643/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432) (/.f64 (-.f64 x y) (/.f64 x (/.f64 (+.f64 x y) x))) (*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))))
(if (<=.f64 y -3327673181379569/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y)) (if (<=.f64 y 7957702266703140864/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) 1 (*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))))
(if (<=.f64 y -3327673181379569/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y)) (if (<=.f64 y 3885596809913643/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432) 1 (*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))))
(if (<=.f64 y -3327673181379569/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) -1 (if (<=.f64 y 7957702266703140864/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) 1 -1))
(if (<=.f64 y -3327673181379569/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) -1 (if (<=.f64 y 3885596809913643/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432) 1 -1))
1
Compiler

Compiled 337 to 158 computations (53.1% saved)

soundness0.0ms (0%)

end208.0ms (2.1%)

Compiler

Compiled 319 to 103 computations (67.7% saved)

Profiling

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