Details

Time bar (total: 10.4s)

analyze80.0ms (0.8%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%18.7%81.3%0%0%0%0
0%0%18.7%81.3%0%0%0%1
0%0%18.7%81.3%0%0%0%2
0%0%18.7%81.3%0%0%0%3
0%0%18.7%81.3%0%0%0%4
25%4.7%14%81.3%0%0%0%5
28.1%5.3%13.5%81.3%0%0%0%6
84.4%15.8%2.9%81.3%0%0%0%7
84.4%15.8%2.9%81.3%0%0%0%8
93%17.4%1.3%81.3%0%0%0%9
93%17.4%1.3%81.3%0%0%0%10
96.7%18.1%0.6%81.3%0%0%0%11
96.7%18.1%0.6%81.3%0%0%0%12
Compiler

Compiled 28 to 17 computations (39.3% saved)

sample2.1s (20.5%)

Results
2.1s8256×body256valid
Bogosity

preprocess156.0ms (1.5%)

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)

simplify67.0ms (0.6%)

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
19.5b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶20.4b
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
▶19.9b
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Compiler

Compiled 33 to 17 computations (48.5% saved)

localize13.0ms (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))))
✓19.4b
(/.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
y
@inf
(*.f64 (-.f64 x y) (/.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
x
@0
(/.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)))

rewrite67.0ms (0.6%)

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)))))))

simplify81.0ms (0.8%)

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 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 x x) (*.f64 y y))
✓19.6b
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Compiler

Compiled 45 to 9 computations (80% saved)

series8.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
0.0ms
x
@inf
(+.f64 (*.f64 x x) (*.f64 y y))
0.0ms
x
@0
(+.f64 (*.f64 x x) (*.f64 y y))
0.0ms
y
@0
(+.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)))

rewrite74.0ms (0.7%)

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
01028
123726
2393426
Stop Event
1×node limit
Counts
2 → 106
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(+.f64 (*.f64 x x) (*.f64 y y))
Outputs
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((#(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 (/.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 (pow.f64 y 4) (-.f64 (*.f64 x x) (*.f64 y 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 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (hypot.f64 x y) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 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(2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y y (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y y) 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (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) 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egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 y y))))))

simplify94.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
920×fma-neg_binary64
533×times-frac_binary64
523×cancel-sign-sub-inv_binary64
434×fma-def_binary64
330×associate-+l+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09548
132548
2123548
3583248
Stop Event
1×node limit
Counts
154 → 128
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))
(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) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(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) (pow.f64 x 2))
(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) (pow.f64 x 2))
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
(pow.f64 y 2)
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(pow.f64 x 2)
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(pow.f64 x 2)
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(pow.f64 x 2)
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(pow.f64 y 2)
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(pow.f64 y 2)
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1

eval215.0ms (2.1%)

Compiler

Compiled 4970 to 2197 computations (55.8% saved)

prune78.0ms (0.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New2369245
Fresh000
Picked011
Done011
Total23611247
Error
0.0b
Counts
247 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
▶39.6b
(*.f64 (-.f64 x y) (/.f64 1 x))
44.0b
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (hypot.f64 x y)) 2)
✓19.9b
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
32.6b
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 3) (pow.f64 (-.f64 x y) 3)))
▶38.6b
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
38.8b
1
▶0.0b
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
▶30.2b
(*.f64 (-.f64 x y) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) 2))
25.6b
-1
✓20.4b
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
▶0.2b
(*.f64 (-.f64 x y) (*.f64 (/.f64 1 (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))))
Compiler

Compiled 259 to 155 computations (40.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series13.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite243.0ms (2.3%)

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
0946
121443
2352943
Stop Event
1×node limit
Counts
4 → 281
Calls
Call 1
Inputs
(/.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)))
(hypot.f64 x y)
(/.f64 (-.f64 x y) (hypot.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x y) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (/.f64 1 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x y) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))) (sqrt.f64 (/.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 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (neg.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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 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 x y) (sqrt.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (sqrt.f64 (hypot.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) -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 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))))))
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(-.f64 x y) 2)) (sqrt.f64 (hypot.f64 x y))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) -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 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)) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (hypot.f64 x y)) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 x (hypot.f64 x y))) (cbrt.f64 (/.f64 x (hypot.f64 x y)))) (cbrt.f64 (/.f64 x (hypot.f64 x y))) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (hypot.f64 x y))) (sqrt.f64 (/.f64 x (hypot.f64 x y))) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 x (cbrt.f64 (hypot.f64 x y))) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (/.f64 x (sqrt.f64 (hypot.f64 x y))) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (hypot.f64 x y)) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (hypot.f64 x y)) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (hypot.f64 x y))) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (hypot.f64 x y))) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (hypot.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (neg.f64 (/.f64 y (hypot.f64 x y))))))))

simplify197.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
567×associate-+l+_binary64
522×associate-/r*_binary64
495×associate-/l*_binary64
372×associate-*r*_binary64
348×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01951761
16391664
222211538
Stop Event
1×node limit
Counts
377 → 386
Calls
Call 1
Inputs
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)
-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))))))
-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 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 -1/2 (/.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y)))
(+.f64 1 (fma.f64 -1/2 (/.f64 x (*.f64 (/.f64 y x) y)) (/.f64 x y)))
(+.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))))))
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(+.f64 1 (fma.f64 -1/2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y)))
(+.f64 1 (fma.f64 -1/2 (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (pow.f64 (/.f64 x y) 3)) (/.f64 x y)))
1
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
(+.f64 (/.f64 y x) (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) 1))
(+.f64 (/.f64 y x) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 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))))))
(+.f64 (/.f64 y x) (+.f64 (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) 1) (*.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
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(+.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 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 x (/.f64 y x)) y)) (/.f64 1/16 (/.f64 (pow.f64 y 5) (pow.f64 x 6))))
(+.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 (*.f64 (pow.f64 x 6) 1/16) (pow.f64 y 5)))
(*.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))
(fma.f64 -1/2 (/.f64 x (/.f64 y x)) (neg.f64 y))
(-.f64 (*.f64 -1/2 (*.f64 (/.f64 x y) 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 1/8 (pow.f64 x 4)) (pow.f64 y 3))))
(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 1/8 (pow.f64 y 3)) (pow.f64 x 4)) 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 1/8 (pow.f64 x 4)) (pow.f64 y 3)))))
(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 1/8 (pow.f64 y 3)) (pow.f64 x 4)) y)))
-1
(-.f64 (/.f64 x y) 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 x y) (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/2) 1))
(+.f64 (/.f64 x y) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/2 -1))
(+.f64 (/.f64 x y) (fma.f64 (/.f64 x (*.f64 (/.f64 y x) y)) 1/2 -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)
(+.f64 (/.f64 x y) (-.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (/.f64 1/2 y) (/.f64 x (/.f64 y x)))) (+.f64 (/.f64 x y) -1))
(+.f64 (fma.f64 (/.f64 x (*.f64 (/.f64 y x) y)) 1/2 (/.f64 x y)) (fma.f64 -1/2 (pow.f64 (/.f64 x y) 3) -1))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (/.f64 (neg.f64 y) x))
(-.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 (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) 1) (/.f64 (neg.f64 y) x))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (/.f64 y x))
(fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (-.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)))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) 1) (fma.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 (neg.f64 y) x)))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (-.f64 (/.f64 (*.f64 (pow.f64 y 3) 1/2) (pow.f64 x 3)) (/.f64 y x)))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (-.f64 (/.f64 1/2 (pow.f64 (/.f64 x y) 3)) (/.f64 y x)))
-1
(-.f64 (/.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 y x) (-.f64 (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) 1/2) 1))
(+.f64 (/.f64 y x) (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) 1/2 -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)
(+.f64 (+.f64 (/.f64 y x) (fma.f64 1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))) -1)
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 (*.f64 (/.f64 y x) (/.f64 y x)) 1/2)) (+.f64 (/.f64 y x) -1))
(+.f64 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) 1/2 (/.f64 y x)) (fma.f64 -1/2 (pow.f64 (/.f64 y x) 3) -1))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (/.f64 (neg.f64 y) x))
(-.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 (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) 1) (/.f64 (neg.f64 y) x))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (/.f64 y x))
(fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (-.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)))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) 1) (fma.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 (neg.f64 y) x)))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (-.f64 (/.f64 (*.f64 (pow.f64 y 3) 1/2) (pow.f64 x 3)) (/.f64 y x)))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (-.f64 (/.f64 1/2 (pow.f64 (/.f64 x y) 3)) (/.f64 y x)))
-1
(-.f64 (/.f64 x y) 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 x y) (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/2) 1))
(+.f64 (/.f64 x y) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/2 -1))
(+.f64 (/.f64 x y) (fma.f64 (/.f64 x (*.f64 (/.f64 y x) y)) 1/2 -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)
(+.f64 (/.f64 x y) (-.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (/.f64 1/2 y) (/.f64 x (/.f64 y x)))) (+.f64 (/.f64 x y) -1))
(+.f64 (fma.f64 (/.f64 x (*.f64 (/.f64 y x) y)) 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 (-.f64 (*.f64 (/.f64 -1/2 y) (/.f64 x (/.f64 y x))) (/.f64 x y)))
(+.f64 1 (-.f64 (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) -1/2)) (/.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 (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) 1/2 (*.f64 (/.f64 -1/2 y) (/.f64 x (/.f64 y x)))) (-.f64 1 (/.f64 x y)))
(+.f64 1 (fma.f64 (pow.f64 (/.f64 x y) 3) 1/2 (-.f64 (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) -1/2)) (/.f64 x y))))

localize15.0ms (0.1%)

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)

series5.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite88.0ms (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)))))))

simplify33.0ms (0.3%)

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))

localize24.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓12.0b
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
Compiler

Compiled 32 to 16 computations (50% saved)

series5.0ms (0%)

Counts
1 → 21
Calls

6 calls:

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

rewrite80.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
510×fma-def_binary64
407×log-prod_binary64
307×exp-prod_binary64
293×pow-prod-down_binary64
292×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0915
119713
230831
Stop Event
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1)))))

simplify48.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
89×fma-def_binary64
80×fma-neg_binary64
25×cancel-sign-sub-inv_binary64
21×unsub-neg_binary64
15×sub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01427
13421
28321
39721
411021
517921
630821
748921
850921
953221
1055521
Stop Event
1×saturated
Counts
22 → 5
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
(/.f64 (+.f64 y (*.f64 -1 y)) x)
(+.f64 1 (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 y x))))
1
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) x)))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) x)))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) x)))
Outputs
1
1
1
1
1
1
1
1
1
1
1
1
(/.f64 (+.f64 y (*.f64 -1 y)) x)
(/.f64 (*.f64 0 y) x)
0
(+.f64 1 (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 y x))))
1
(+.f64 1 (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 y x))))
1
(+.f64 1 (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 y x))))
1
1
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) x)))
1

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series9.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite114.0ms (1.1%)

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
01138
124432
2361032
Stop Event
1×node limit
Counts
2 → 101
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)))
Outputs
((#(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 (*.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 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) (*.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) -2)))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) (*.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) -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 x y) (*.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.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) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.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 (-.f64 (*.f64 x x) (*.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)) (/.f64 (+.f64 x y) (hypot.f64 x y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.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) (-.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 (/.f64 (+.f64 x y) (hypot.f64 x y)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (hypot.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (hypot.f64 x y) (+.f64 x y)))))) (#(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 (-.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) (hypot.f64 x y)) (-.f64 x y)) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) (/.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) (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)) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 1) (/.f64 (hypot.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule 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simplify83.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
011548
137948
2142148
3683348
Stop Event
1×node limit
Counts
149 → 128
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))))))
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
(/.f64 1 y)
-1
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
-1
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
-1
(+.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 x)
-1
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
-1
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))
-1
(+.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))))
-1
(/.f64 1 x)
-1
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
-1
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))
-1
(+.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))))
-1
(/.f64 1 x)
-1
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
-1
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))
-1
(+.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))))
-1
(/.f64 1 y)
-1
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
-1
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
-1
(+.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 y)
-1
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))
-1
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
-1
(+.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

localize41.0ms (0.4%)

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))
✓0.2b
(/.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)

series32.0ms (0.3%)

Counts
3 → 40
Calls

18 calls:

TimeVariablePointExpression
6.0ms
x
@inf
(pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) 2)
4.0ms
x
@0
(/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y))
3.0ms
x
@0
(pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) 2)
3.0ms
y
@inf
(pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) 2)
2.0ms
y
@inf
(/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y))

rewrite111.0ms (1.1%)

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
01148
124544
2327444
Stop Event
1×node limit
Counts
3 → 108
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))
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) (pow.f64 (/.f64 1 (hypot.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (/.f64 1 (hypot.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y))))))) (#(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 (/.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 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) 4)) (cbrt.f64 (/.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))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) (*.f64 (cbrt.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 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y))) (*.f64 (sqrt.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 (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y))) 3) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 1 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) (cbrt.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (+.f64 x y))) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (sqrt.f64 (+.f64 x y)))))))) (#(struct:change 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x y) (neg.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y))) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y))) (neg.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) (sqrt.f64 (+.f64 x y))) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) (neg.f64 (sqrt.f64 (+.f64 x y)))) (neg.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) 4))))) (#(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 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 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 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simplify69.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
617×associate-+l+_binary64
595×associate-*r*_binary64
576×associate-*l*_binary64
546×times-frac_binary64
305×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01891167
15891045
22200946
Stop Event
1×node limit
Counts
148 → 164
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))
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 (pow.f64 y 7))) (*.f64 -3/16 (sqrt.f64 (/.f64 1 y))))) (*.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 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -5/8) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (/.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 1/2 (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (sqrt.f64 (/.f64 1 x)))
(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 1/2 (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (sqrt.f64 (/.f64 1 x))))
(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 1/2 (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (sqrt.f64 (/.f64 1 x)))))
(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 (/.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 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 (*.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 (fma.f64 -2 (*.f64 (/.f64 (/.f64 y x) 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 (*.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 (fma.f64 -2 (*.f64 (/.f64 (/.f64 y x) 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 (*.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 (fma.f64 -2 (*.f64 (/.f64 (/.f64 y x) 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 (*.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 (fma.f64 -2 (*.f64 (/.f64 (/.f64 y x) 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 (/.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 (*.f64 -2 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 6) (pow.f64 x 6)) (/.f64 (*.f64 2 (pow.f64 y 4)) (pow.f64 x 4)))))
(+.f64 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))) (fma.f64 -2 (*.f64 (/.f64 (/.f64 y x) x) 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)))) (+.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 (/.f64 x y) (/.f64 x y)) (-.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)))
(-.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 (*.f64 x x) (*.f64 y y)) (*.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 -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 (/.f64 x y) (/.f64 x y)) (-.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)))
(-.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 (/.f64 x y) (/.f64 x y)) (-.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)))

eval363.0ms (3.5%)

Compiler

Compiled 27379 to 9810 computations (64.2% saved)

prune242.0ms (2.3%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New9888996
Fresh134
Picked101
Done336
Total993141007
Error
0b
Counts
1007 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
▶29.8b
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))
38.4b
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1)
▶39.5b
(-.f64 1 (/.f64 y x))
25.6b
-1
0.0b
(/.f64 (-.f64 x y) (/.f64 (hypot.f64 x y) (/.f64 (+.f64 x y) (hypot.f64 x y))))
▶0.1b
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
✓19.9b
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
32.6b
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 3) (pow.f64 (-.f64 x y) 3)))
✓38.6b
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
38.8b
1
▶24.6b
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)
▶0.0b
(/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))
✓20.4b
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
38.8b
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x)))
Compiler

Compiled 322 to 189 computations (41.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 42 to 8 computations (81% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite105.0ms (1%)

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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((#(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 (*.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 #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2))) (*.f64 x (/.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)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) y) (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2))) (+.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 x y) (pow.f64 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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) (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)))) 2) (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) (*.f64 (sqrt.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 (sqrt.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)))) (sqrt.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (-.f64 x y)) (hypot.f64 x y)) (/.f64 1 (/.f64 (neg.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 (-.f64 x y) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 x 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(hypot.f64 x y))) 2) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 x y) (+.f64 x y))) 2)) (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 x y) (+.f64 x y))) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) (cbrt.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (sqrt.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)))) (/.f64 (/.f64 1 (hypot.f64 x y)) (sqrt.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)))) (/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (sqrt.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) 2) (sqrt.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)))) (/.f64 (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) (sqrt.f64 (/.f64 (hypot.f64 x y) (+.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 (-.f64 x y) (hypot.f64 x y)) (neg.f64 (hypot.f64 x y))) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 1) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x y) (/.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) (/.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) (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 x y) (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (neg.f64 (hypot.f64 x y)) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.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 x y) (/.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) (/.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 (-.f64 x y) (hypot.f64 x y)) 3) (pow.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) (/.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) (/.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) (/.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) (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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 #<rule egg-rr> (2) ((x fma.f64 y (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (*.f64 x (/.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)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) y (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) x))))))

simplify61.0ms (0.6%)

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
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (/.f64 (neg.f64 y) x))
(-.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)))
(+.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))))))
(-.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)))
(+.f64 1 (/.f64 (neg.f64 x) y))
(-.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)
(+.f64 (/.f64 x y) -1)
(+.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))))
(+.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 (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 (/.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 (/.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 (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)

localize10.0ms (0.1%)

Compiler

Compiled 13 to 6 computations (53.8% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))
✓5.6b
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))
✓10.6b
(/.f64 x (*.f64 y y))
Compiler

Compiled 41 to 15 computations (63.4% saved)

series12.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite104.0ms (1%)

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
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simplify73.0ms (0.7%)

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))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)
✓0.2b
(/.f64 x (/.f64 y x))
Compiler

Compiled 27 to 12 computations (55.6% saved)

series6.0ms (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
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)
1.0ms
y
@0
(/.f64 x (/.f64 y x))
1.0ms
y
@-inf
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)

rewrite65.0ms (0.6%)

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))))))

simplify138.0ms (1.3%)

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)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
0.0b
(/.f64 (+.f64 x y) (hypot.f64 x y))
✓0.0b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3))
✓0.1b
(pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3)
Compiler

Compiled 65 to 17 computations (73.8% saved)

series150.0ms (1.4%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
141.0ms
x
@-inf
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
1.0ms
y
@inf
(pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3)
1.0ms
x
@inf
(pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3)
1.0ms
x
@0
(pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3)
1.0ms
x
@-inf
(pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3)

rewrite210.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
805×prod-diff_binary64
687×log-prod_binary64
295×fma-def_binary64
252×log-div_binary64
229×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01245
128142
2393142
Stop Event
1×node limit
Counts
3 → 283
Calls
Call 1
Inputs
(pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
Outputs
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#<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 x y)) (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 2)) (neg.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 2) (-.f64 x y)) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 2) 1) (/.f64 (hypot.f64 x y) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 2) (neg.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)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)))) 1))))))
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(*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2))) 1))))))

simplify121.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
692×associate-/l*_binary64
518×associate-/r*_binary64
400×associate-*l*_binary64
332×associate-*l/_binary64
332×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02621781
19161464
237891251
Stop Event
1×node limit
Counts
355 → 373
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 3 (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 3 (/.f64 x y))) 1)
(-.f64 (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 3 (/.f64 x y)) (*.f64 -7/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
1
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 -1 (/.f64 y x))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))))))))))
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 y) (*.f64 -1 y)) x)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 y) (*.f64 -1 y)) x)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) (pow.f64 x 2)))))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 y) (*.f64 -1 y)) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) y)) (+.f64 (*.f64 2 (pow.f64 y 3)) (*.f64 1/2 (pow.f64 y 3))))) (pow.f64 x 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) (pow.f64 x 2))))))) 1)
1
(+.f64 (*.f64 -3 (/.f64 y x)) 1)
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 1 (*.f64 3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 7/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (*.f64 3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 x y))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 x y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 2 (/.f64 x y)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) x) (pow.f64 y 3)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 y 2))) (/.f64 x y))))))))) 1)
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 x) x) y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 x) x) y)) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 x) x) y)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) x)))) (pow.f64 y 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.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)))) 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)))))
(cbrt.f64 -1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (cbrt.f64 -1)) x)) (cbrt.f64 -1))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (cbrt.f64 -1)) x)) (+.f64 (cbrt.f64 -1) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 -1)) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (cbrt.f64 -1)) x)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 3) (cbrt.f64 -1)) (pow.f64 x 3))) (+.f64 (cbrt.f64 -1) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 -1)) (pow.f64 x 2))))))
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)))))
-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)))
(*.f64 -1 (cbrt.f64 -1))
(+.f64 (*.f64 -1 (cbrt.f64 -1)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 y (cbrt.f64 -1))) (*.f64 y (cbrt.f64 -1))) x)))
(-.f64 (+.f64 (*.f64 -1 (cbrt.f64 -1)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 -1)) (pow.f64 x 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 y (cbrt.f64 -1))) (*.f64 y (cbrt.f64 -1))) x)))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 -1)) (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (cbrt.f64 -1)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 -1)) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 y (cbrt.f64 -1))) (*.f64 y (cbrt.f64 -1))) x)) (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 y (cbrt.f64 -1))) (*.f64 y (cbrt.f64 -1))) (pow.f64 y 2)) (pow.f64 x 3))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 -1)) (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 3 (/.f64 x y)) 1)
(fma.f64 3 (/.f64 x y) -1)
(-.f64 (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 3 (/.f64 x y))) 1)
(+.f64 (*.f64 -3/2 (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 3 (/.f64 x y) -1))
(fma.f64 -3/2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 3 (/.f64 x y) -1))
(-.f64 (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 3 (/.f64 x y)) (*.f64 -7/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
(+.f64 (fma.f64 -3/2 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 3 (/.f64 x y) (*.f64 -7/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) -1)
(+.f64 -1 (fma.f64 -3/2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 3 (/.f64 x y) (*.f64 -7/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(+.f64 (fma.f64 3 (/.f64 x y) (/.f64 -7/2 (pow.f64 (/.f64 y x) 3))) (fma.f64 -3/2 (*.f64 (/.f64 x y) (/.f64 x y)) -1))
1
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 -1 (/.f64 y x))))
(fma.f64 -3 (/.f64 y x) 1)
(fma.f64 (/.f64 y x) -3 1)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))))))
(fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (+.f64 1 (fma.f64 -2 (/.f64 y x) (fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (/.f64 (neg.f64 y) x) (/.f64 (*.f64 y y) (*.f64 x x))))))))
(+.f64 (fma.f64 -2 (/.f64 y x) (+.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x)) (*.f64 (*.f64 (/.f64 y x) (/.f64 y x)) 1))) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 (fma.f64 (/.f64 y x) -3 1) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))))))))))
(+.f64 1 (fma.f64 -1 (/.f64 y (/.f64 (pow.f64 x 3) (*.f64 0 (*.f64 y y)))) (fma.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -2 (/.f64 y x) (fma.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x)))))))))))
(+.f64 1 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) (*.f64 (/.f64 y x) -3)))) (*.f64 0 (*.f64 (/.f64 y x) (/.f64 y x))))) (/.f64 0 (pow.f64 x 3))))
(+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 y x) 3) (+.f64 (+.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (pow.f64 (/.f64 y x) 3))) (*.f64 (/.f64 y x) -3)) (*.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 -1/2 (/.f64 y x)))) 0)))
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 y) (*.f64 -1 y)) x)) 1)
(fma.f64 -1 (/.f64 (*.f64 y -3) x) -1)
(*.f64 (fma.f64 (/.f64 y x) -3 1) -1)
(-.f64 -1 (*.f64 (/.f64 y x) -3))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 y) (*.f64 -1 y)) x)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) (pow.f64 x 2)))))) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 y -3) x) (fma.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 0 (*.f64 y y)) (*.f64 x x)))))) -1)
(+.f64 -1 (-.f64 (+.f64 (/.f64 (/.f64 0 x) x) (*.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -3/2)) (*.f64 (/.f64 y x) -3)))
(+.f64 -1 (+.f64 (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -3/2)) (*.f64 3 (/.f64 y x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 y) (*.f64 -1 y)) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) y)) (+.f64 (*.f64 2 (pow.f64 y 3)) (*.f64 1/2 (pow.f64 y 3))))) (pow.f64 x 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) (pow.f64 x 2))))))) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 y -3) x) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 y 3) (fma.f64 -1 (*.f64 y (*.f64 0 (*.f64 y y))) (*.f64 (pow.f64 y 3) 5/2))) (pow.f64 x 3)) (fma.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 0 (*.f64 y y)) (*.f64 x x))))))) -1)
(+.f64 -1 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 0 x) x) (*.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -3/2)) (/.f64 (+.f64 (pow.f64 y 3) (fma.f64 (pow.f64 y 3) 5/2 0)) (pow.f64 x 3))) (*.f64 (/.f64 y x) -3)))
(+.f64 -1 (-.f64 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -3/2 0) (fma.f64 (/.f64 y x) -3 (*.f64 (pow.f64 (/.f64 y x) 3) 7/2))))
1
(+.f64 (*.f64 -3 (/.f64 y x)) 1)
(fma.f64 -3 (/.f64 y x) 1)
(fma.f64 (/.f64 y x) -3 1)
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 1 (*.f64 3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (fma.f64 -3 (/.f64 y x) 1) (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) 3/2))
(fma.f64 (/.f64 y x) -3 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) 3/2 1))
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 7/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (*.f64 3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(fma.f64 -3 (/.f64 y x) (fma.f64 7/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) 3/2))))
(fma.f64 (/.f64 y x) -3 (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 7/2 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) 3/2 1)))
(fma.f64 (/.f64 y x) -3 (fma.f64 (pow.f64 (/.f64 y x) 3) 7/2 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) 3/2 1)))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 x y))) 1)
(fma.f64 3 (/.f64 x y) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 x y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -1 (/.f64 (*.f64 0 (*.f64 x x)) (*.f64 y y)) (+.f64 (*.f64 3 (/.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/2)))) -1)
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -2 (+.f64 (fma.f64 3 (/.f64 x y) (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/2)) -1))
(+.f64 -1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -2 (fma.f64 3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) 1/2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 2 (/.f64 x y)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) x) (pow.f64 y 3)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 y 2))) (/.f64 x y))))))))) 1)
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 2 (/.f64 x y) (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (/.f64 (*.f64 0 (*.f64 x x)) (/.f64 (pow.f64 y 3) x)) (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -1 (/.f64 (*.f64 0 (*.f64 x x)) (*.f64 y y)) (/.f64 x y))))))))) -1)
(+.f64 -1 (+.f64 (fma.f64 (/.f64 x y) 2 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/2 (+.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -2 (+.f64 (/.f64 x y) 0)) (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/2 0)))) (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -3)))
(+.f64 -1 (+.f64 (fma.f64 (/.f64 x y) 2 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/2 (fma.f64 (pow.f64 (/.f64 x y) 3) -1/2 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -2 (/.f64 x y))))) (*.f64 (pow.f64 (/.f64 x y) 3) -3)))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 x) x) y)))
(+.f64 1 (neg.f64 (*.f64 3 (/.f64 x y))))
(+.f64 1 (*.f64 (/.f64 x y) -3))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 x) x) y)) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))))
(fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 1 (fma.f64 -1 (*.f64 3 (/.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 3/2)))))
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 3/2 (*.f64 (/.f64 x y) -3)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 x) x) y)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) x)))) (pow.f64 y 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1 (*.f64 3 (/.f64 x y)) (fma.f64 -1 (/.f64 (fma.f64 -1 (pow.f64 x 3) (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 0 (*.f64 x x)))))) (pow.f64 y 3)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 3/2)))))
(+.f64 1 (+.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 3/2) (-.f64 (*.f64 (/.f64 x y) -3) (/.f64 (-.f64 (+.f64 0 (*.f64 (pow.f64 x 3) -5/2)) (pow.f64 x 3)) (pow.f64 y 3)))))
(+.f64 1 (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 3/2 (*.f64 (/.f64 x y) -3)) (/.f64 -7/2 (pow.f64 (/.f64 y x) 3))))
-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)
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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 (pow.f64 x 3) (pow.f64 y 3)) -1/2)) 1))
(+.f64 -1 (+.f64 (/.f64 x y) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/2 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/2))))
(+.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/2 (/.f64 x y)) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/2 -1))
1
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(-.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))))
(fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (+.f64 1 (/.f64 (neg.f64 y) x)))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 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)))))
(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))))
(+.f64 (-.f64 (/.f64 (*.f64 (pow.f64 y 3) 1/2) (pow.f64 x 3)) (/.f64 y x)) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(+.f64 (-.f64 (*.f64 1/2 (pow.f64 (/.f64 y x) 3)) (/.f64 y x)) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(cbrt.f64 -1)
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(fma.f64 -1 (/.f64 (*.f64 y (cbrt.f64 -1)) x) (cbrt.f64 -1))
(-.f64 (cbrt.f64 -1) (*.f64 (/.f64 y x) (cbrt.f64 -1)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (cbrt.f64 -1)) x)) (+.f64 (cbrt.f64 -1) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 -1)) (pow.f64 x 2)))))
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(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (cbrt.f64 -1) x)) (cbrt.f64 -1)) (*.f64 (/.f64 y x) (cbrt.f64 -1)))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) (cbrt.f64 -1))) (cbrt.f64 -1)) (*.f64 (/.f64 y x) (cbrt.f64 -1)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (cbrt.f64 -1)) x)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 3) (cbrt.f64 -1)) (pow.f64 x 3))) (+.f64 (cbrt.f64 -1) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 -1)) (pow.f64 x 2))))))
(fma.f64 -1 (/.f64 (*.f64 y (cbrt.f64 -1)) x) (fma.f64 1/2 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 3) (cbrt.f64 -1))) (+.f64 (cbrt.f64 -1) (*.f64 -1/2 (/.f64 (*.f64 (*.f64 y y) (cbrt.f64 -1)) (*.f64 x x))))))
(-.f64 (fma.f64 1/2 (/.f64 (cbrt.f64 -1) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (cbrt.f64 -1) x)) (cbrt.f64 -1))) (*.f64 (/.f64 y x) (cbrt.f64 -1)))
(-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (/.f64 y x) 3) (cbrt.f64 -1)) (fma.f64 -1/2 (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) (cbrt.f64 -1))) (cbrt.f64 -1))) (*.f64 (/.f64 y x) (cbrt.f64 -1)))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (/.f64 (neg.f64 y) x))
(-.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))))
(fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (+.f64 1 (/.f64 (neg.f64 y) x)))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 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)))))
(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))))
(+.f64 (-.f64 (/.f64 (*.f64 (pow.f64 y 3) 1/2) (pow.f64 x 3)) (/.f64 y x)) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(+.f64 (-.f64 (*.f64 1/2 (pow.f64 (/.f64 y x) 3)) (/.f64 y x)) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.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 -1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 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 (pow.f64 x 3) (pow.f64 y 3)) -1/2)) 1))
(+.f64 -1 (+.f64 (/.f64 x y) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/2 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/2))))
(+.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/2 (/.f64 x y)) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/2 -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 (-.f64 (/.f64 (*.f64 (*.f64 x x) -1/2) (*.f64 y y)) (/.f64 x y)))
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/2 (/.f64 (neg.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 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) 1/2 (-.f64 (/.f64 (*.f64 (*.f64 x x) -1/2) (*.f64 y y)) (/.f64 x y))))
(+.f64 1 (fma.f64 (pow.f64 (/.f64 x y) 3) 1/2 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/2 (/.f64 (neg.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)
(-.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)))
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)))
(-.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 (/.f64 y x) (/.f64 y x))) (*.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 (/.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 (/.f64 y x) (/.f64 y x))) (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 -1 (cbrt.f64 -1))
(neg.f64 (cbrt.f64 -1))
(+.f64 (*.f64 -1 (cbrt.f64 -1)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 y (cbrt.f64 -1))) (*.f64 y (cbrt.f64 -1))) x)))
(neg.f64 (cbrt.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (cbrt.f64 -1)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 -1)) (pow.f64 x 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 y (cbrt.f64 -1))) (*.f64 y (cbrt.f64 -1))) x)))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 -1)) (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (cbrt.f64 -1) (+.f64 (/.f64 (*.f64 (*.f64 y y) (cbrt.f64 -1)) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 0 (*.f64 y (cbrt.f64 -1))) x)))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) (cbrt.f64 -1)) (*.f64 x x))))
(+.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (cbrt.f64 -1) x)) (+.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (cbrt.f64 -1) x)) (-.f64 (/.f64 0 x) (cbrt.f64 -1))))
(-.f64 (*.f64 (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) (cbrt.f64 -1))) 2) (cbrt.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (cbrt.f64 -1)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 -1)) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 y (cbrt.f64 -1))) (*.f64 y (cbrt.f64 -1))) x)) (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 y (cbrt.f64 -1))) (*.f64 y (cbrt.f64 -1))) (pow.f64 y 2)) (pow.f64 x 3))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 -1)) (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (cbrt.f64 -1) (+.f64 (/.f64 (*.f64 (*.f64 y y) (cbrt.f64 -1)) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 0 (*.f64 y (cbrt.f64 -1))) x)))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) (cbrt.f64 -1)) (*.f64 x x))))
(+.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (cbrt.f64 -1) x)) (+.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (cbrt.f64 -1) x)) (-.f64 (/.f64 0 x) (cbrt.f64 -1))))
(-.f64 (*.f64 (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) (cbrt.f64 -1))) 2) (cbrt.f64 -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 (*.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 -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))))))
-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 x (neg.f64 x)) (*.f64 y y))))
(+.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (*.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))
(+.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 x (neg.f64 x)) (*.f64 y y))))
(+.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (*.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))
(+.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 x (neg.f64 x)) (*.f64 y y))))
(+.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (*.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))
(+.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 x (neg.f64 x)) (*.f64 y y))))
(+.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) -1)

eval559.0ms (5.4%)

Compiler

Compiled 37386 to 12451 computations (66.7% saved)

prune193.0ms (1.8%)

Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New120641210
Fresh336
Picked011
Done167
Total1210141224
Error
0b
Counts
1224 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
✓20.4b
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
▶24.6b
(+.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) -1)
▶38.8b
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x)))
25.6b
-1
▶0.0b
(/.f64 (-.f64 x y) (/.f64 (hypot.f64 x y) (/.f64 (+.f64 x y) (hypot.f64 x y))))
✓0.1b
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
▶0.2b
(/.f64 (*.f64 (/.f64 1 (hypot.f64 x y)) (-.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))
✓19.9b
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
✓29.8b
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))
✓38.6b
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
38.8b
1
✓39.5b
(-.f64 1 (/.f64 y x))
✓0.0b
(/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))
▶38.4b
(+.f64 (+.f64 1 (*.f64 0 (/.f64 y x))) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
Compiler

Compiled 273 to 158 computations (42.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series8.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite78.0ms (0.7%)

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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(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 fma.f64 (/.f64 1 (hypot.f64 x y)) (/.f64 x (/.f64 (hypot.f64 x y) (+.f64 x y))) (neg.f64 (*.f64 y (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))) 2) (cbrt.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 fma.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))) (sqrt.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 fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 x y)) (/.f64 (cbrt.f64 x) (/.f64 (hypot.f64 x y) (+.f64 x y))) (neg.f64 (*.f64 y (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (hypot.f64 x y)) (/.f64 (sqrt.f64 x) (/.f64 (hypot.f64 x y) (+.f64 x y))) (neg.f64 (*.f64 y (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))) (neg.f64 (*.f64 y (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))) (neg.f64 (*.f64 y (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)) 2))) (/.f64 x (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))) (neg.f64 (*.f64 y (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)) 2))) (/.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))) (neg.f64 (*.f64 y (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))) (neg.f64 (*.f64 y (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))) (/.f64 x (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))) (neg.f64 (*.f64 y (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))) (neg.f64 (*.f64 y (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))) (neg.f64 (*.f64 y (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)) (neg.f64 (*.f64 y (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (hypot.f64 x y) (+.f64 x y))) (/.f64 (cbrt.f64 x) (hypot.f64 x y)) (neg.f64 (*.f64 y (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (/.f64 (hypot.f64 x y) (+.f64 x y))) (/.f64 (sqrt.f64 x) (hypot.f64 x y)) (neg.f64 (*.f64 y (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x 1) (/.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 fma.f64 (/.f64 x (neg.f64 (hypot.f64 x y))) (/.f64 (neg.f64 (+.f64 x y)) (hypot.f64 x y)) (neg.f64 (*.f64 y (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))))))

simplify65.0ms (0.6%)

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)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x))
✓0.2b
(/.f64 (/.f64 y x) x)
✓5.9b
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x)))
Compiler

Compiled 41 to 15 computations (63.4% saved)

series9.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite90.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
647×log-prod_binary64
563×fma-def_binary64
326×log-div_binary64
276×fma-neg_binary64
224×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01039
123639
2408135
Stop Event
1×node limit
Counts
3 → 220
Calls
Call 1
Inputs
(*.f64 (-.f64 x y) (+.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x)))
(/.f64 (/.f64 y x) x)
(+.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 x y) (fma.f64 y (pow.f64 x -2) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) (*.f64 y (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (*.f64 y (pow.f64 x -2))) (/.f64 (-.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 x y) x) 1) (*.f64 (*.f64 (-.f64 x y) (*.f64 y (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 y (pow.f64 x -2) (/.f64 1 x))) (*.f64 (neg.f64 y) (fma.f64 y (pow.f64 x -2) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 y (pow.f64 x -2) (/.f64 1 x)) x) (*.f64 (fma.f64 y (pow.f64 x -2) (/.f64 1 x)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) (fma.f64 y (pow.f64 x -2) (/.f64 1 x)))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) (fma.f64 y 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(/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 y x)) (sqrt.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 y x) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 y x) (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x))))))

simplify55.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
704×associate-/l*_binary64
477×associate-/r*_binary64
465×associate-*l/_binary64
439×fma-neg_binary64
438×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
022908
156863
2133818
3357683
41480683
Stop Event
1×node limit
Counts
292 → 233
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(+.f64 (/.f64 y (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 1 x))
(/.f64 1 x)
(+.f64 (/.f64 y (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 1 x))
(/.f64 1 x)
(+.f64 (/.f64 y (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 1 x))
(/.f64 1 x)
(+.f64 (/.f64 y (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 1 x))
(/.f64 y (pow.f64 x 2))
(+.f64 (/.f64 y (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 1 x))
(/.f64 y (pow.f64 x 2))
(+.f64 (/.f64 y (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 1 x))
Outputs
(*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 y x) (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x))
(*.f64 (/.f64 y x) (neg.f64 (/.f64 y x)))
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))
(neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 y x) (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x))
(*.f64 (/.f64 y x) (neg.f64 (/.f64 y x)))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))
(+.f64 (+.f64 (/.f64 y x) 1) (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 y x))))
(+.f64 (/.f64 y x) (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)))
(+.f64 (/.f64 y x) (-.f64 1 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))))
(-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x)))
(-.f64 1 (*.f64 y (/.f64 y (*.f64 x x))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))
(+.f64 (+.f64 (/.f64 y x) 1) (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 y x))))
(+.f64 (/.f64 y x) (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)))
(+.f64 (/.f64 y x) (-.f64 1 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))))
(-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x)))
(-.f64 1 (*.f64 y (/.f64 y (*.f64 x x))))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
1
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))
(+.f64 (+.f64 (/.f64 y x) 1) (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 y x))))
(+.f64 (/.f64 y x) (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)))
(+.f64 (/.f64 y x) (-.f64 1 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))))
(-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x)))
(-.f64 1 (*.f64 y (/.f64 y (*.f64 x x))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))
(+.f64 (+.f64 (/.f64 y x) 1) (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 y x))))
(+.f64 (/.f64 y x) (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)))
(+.f64 (/.f64 y x) (-.f64 1 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))))
(-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x)))
(-.f64 1 (*.f64 y (/.f64 y (*.f64 x x))))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
1
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))
(+.f64 (+.f64 (/.f64 y x) 1) (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 y x))))
(+.f64 (/.f64 y x) (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)))
(+.f64 (/.f64 y x) (-.f64 1 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))))
(-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x)))
(-.f64 1 (*.f64 y (/.f64 y (*.f64 x x))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))
(+.f64 (+.f64 (/.f64 y x) 1) (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 y x))))
(+.f64 (/.f64 y x) (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)))
(+.f64 (/.f64 y x) (-.f64 1 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))))
(-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x)))
(-.f64 1 (*.f64 y (/.f64 y (*.f64 x x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 y x) 1) (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 y x))))
(+.f64 (/.f64 y x) (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)))
(+.f64 (/.f64 y x) (-.f64 1 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))))
(-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x)))
(-.f64 1 (*.f64 y (/.f64 y (*.f64 x x))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 y x) 1) (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 y x))))
(+.f64 (/.f64 y x) (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)))
(+.f64 (/.f64 y x) (-.f64 1 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))))
(-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x)))
(-.f64 1 (*.f64 y (/.f64 y (*.f64 x x))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 y x) 1) (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 y x))))
(+.f64 (/.f64 y x) (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)))
(+.f64 (/.f64 y x) (-.f64 1 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))))
(-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x)))
(-.f64 1 (*.f64 y (/.f64 y (*.f64 x x))))
(*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 y x) (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x))
(*.f64 (/.f64 y x) (neg.f64 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 y x) 1) (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 y x))))
(+.f64 (/.f64 y x) (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)))
(+.f64 (/.f64 y x) (-.f64 1 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))))
(-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x)))
(-.f64 1 (*.f64 y (/.f64 y (*.f64 x x))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 y x) 1) (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 y x))))
(+.f64 (/.f64 y x) (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)))
(+.f64 (/.f64 y x) (-.f64 1 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))))
(-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x)))
(-.f64 1 (*.f64 y (/.f64 y (*.f64 x x))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 y x) 1) (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 y x))))
(+.f64 (/.f64 y x) (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)))
(+.f64 (/.f64 y x) (-.f64 1 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))))
(-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x)))
(-.f64 1 (*.f64 y (/.f64 y (*.f64 x x))))
(*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 y x) (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x))
(*.f64 (/.f64 y x) (neg.f64 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 y x) 1) (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 y x))))
(+.f64 (/.f64 y x) (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)))
(+.f64 (/.f64 y x) (-.f64 1 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))))
(-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x)))
(-.f64 1 (*.f64 y (/.f64 y (*.f64 x x))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 y x) 1) (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 y x))))
(+.f64 (/.f64 y x) (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)))
(+.f64 (/.f64 y x) (-.f64 1 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))))
(-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x)))
(-.f64 1 (*.f64 y (/.f64 y (*.f64 x x))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 y x) 1) (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 y x))))
(+.f64 (/.f64 y x) (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)))
(+.f64 (/.f64 y x) (-.f64 1 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))))
(-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x)))
(-.f64 1 (*.f64 y (/.f64 y (*.f64 x x))))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (*.f64 x x)) (/.f64 1 x))
(/.f64 1 x)
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (*.f64 x x)) (/.f64 1 x))
(/.f64 1 x)
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (*.f64 x x)) (/.f64 1 x))
(/.f64 1 x)
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (*.f64 x x)) (/.f64 1 x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (*.f64 x x)) (/.f64 1 x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 y (*.f64 x x)) (/.f64 1 x))

localize31.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2))
✓10.3b
(*.f64 0 (/.f64 y x))
Compiler

Compiled 53 to 25 computations (52.8% saved)

series17.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
10.0ms
y
@inf
(*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2))
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
x
@inf
(*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2))
1.0ms
y
@-inf
(*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2))

rewrite69.0ms (0.7%)

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))))))))

simplify145.0ms (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))

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 2 (pow.f64 (/.f64 y x) -2))
✓0.0b
(+.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) -1)
✓0.3b
(pow.f64 (/.f64 y x) -2)
Compiler

Compiled 31 to 18 computations (41.9% saved)

series20.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

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

rewrite138.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
460×log-prod_binary64
357×exp-prod_binary64
273×prod-exp_binary64
263×pow2_binary64
245×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
121628
2262828
Stop Event
1×node limit
Counts
3 → 108
Calls
Call 1
Inputs
(pow.f64 (/.f64 y x) -2)
(+.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) -1)
(*.f64 2 (pow.f64 (/.f64 y x) -2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 y x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 y x) -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 y x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 y x) -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 y x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 y x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 y x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) -2) (cbrt.f64 (pow.f64 (/.f64 y x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 y x) -4)) (pow.f64 (cbrt.f64 (/.f64 y x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) -4) (pow.f64 (cbrt.f64 (/.f64 y x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 y x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 y x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y x) -6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 y x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 y x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2 (log.f64 (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) -6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y x)) 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 (/.f64 y x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y x)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y 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 (/.f64 y x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y x)) -1) (*.f64 (log.f64 (/.f64 y x)) -1)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 4 (pow.f64 (/.f64 y x) -4)) (fma.f64 (pow.f64 (/.f64 y x) -2) 2 1)) (/.f64 1 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1)) 2) (cbrt.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 y x) -6) 8 -1) (/.f64 1 (-.f64 (fma.f64 4 (pow.f64 (/.f64 y x) -4) 1) (*.f64 (pow.f64 (/.f64 y x) -2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (pow.f64 (/.f64 y x) -4) -1) (/.f64 1 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 x y) (sqrt.f64 2) 1) (fma.f64 (/.f64 x y) (sqrt.f64 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 4 (pow.f64 (/.f64 y x) -4) 1) (*.f64 (pow.f64 (/.f64 y x) -2) -2)) (fma.f64 (pow.f64 (/.f64 y x) -6) 8 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 1) (fma.f64 4 (pow.f64 (/.f64 y x) -4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 y x) -6) 8 -1) (-.f64 (fma.f64 4 (pow.f64 (/.f64 y x) -4) 1) (*.f64 (pow.f64 (/.f64 y x) -2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 y x) -6) 8 -1) (+.f64 1 (-.f64 (*.f64 4 (pow.f64 (/.f64 y x) -4)) (*.f64 (pow.f64 (/.f64 y x) -2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 4 (pow.f64 (/.f64 y x) -4) -1) (fma.f64 (pow.f64 (/.f64 y x) -2) 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) -6) 8 -1)) (neg.f64 (-.f64 (fma.f64 4 (pow.f64 (/.f64 y x) -4) 1) (*.f64 (pow.f64 (/.f64 y x) -2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 4 (pow.f64 (/.f64 y x) -4) -1)) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 4 (pow.f64 (/.f64 y x) -4))) (-.f64 -1 (*.f64 (pow.f64 (/.f64 y x) -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 4 (pow.f64 (/.f64 y x) -4) 1) (*.f64 (pow.f64 (/.f64 y x) -2) -2)) (fma.f64 (pow.f64 (/.f64 y x) -6) 8 -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 1) (fma.f64 4 (pow.f64 (/.f64 y x) -4) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1))) 2)) (cbrt.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1)))) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 y x) -2) 2 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (pow.f64 (/.f64 y x) -2) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2)) (cbrt.f64 (*.f64 4 (pow.f64 (/.f64 y x) -4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 (/.f64 y x) -4))) (cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 y x) -4)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) -2) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (sqrt.f64 2)) (*.f64 (/.f64 x y) (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 (/.f64 y x) -4))) (pow.f64 (cbrt.f64 (/.f64 y x)) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (/.f64 x y)) (/.f64 x y) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 y x) -2) (pow.f64 (/.f64 y x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (/.f64 y x) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 (/.f64 y x) -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) (sqrt.f64 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 y x) -6) 8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2))) 2)) (cbrt.f64 (log.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2)))) (sqrt.f64 (log.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (/.f64 y x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) -6) 8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 y x) -6) 8)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2)) 3) 1/3))))))

simplify231.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
724×*-commutative_binary64
637×associate-/l*_binary64
574×sqr-pow_binary64
393×associate-/r*_binary64
333×associate-/l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011846
126846
251846
3139846
4676846
54223846
64902846
75111846
85315846
95551846
105875846
116714846
127266846
137910846
Stop Event
1×node limit
Counts
180 → 115
Calls
Call 1
Inputs
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(*.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)
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
Outputs
(/.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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y))
(*.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 2 (*.f64 y 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 (/.f64 x (*.f64 y y)) (*.f64 x 2) -1)
(fma.f64 (*.f64 x 2) (/.f64 x (*.f64 y 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 (/.f64 x (*.f64 y y)) (*.f64 x 2) -1)
(fma.f64 (*.f64 x 2) (/.f64 x (*.f64 y 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 (/.f64 x (*.f64 y y)) (*.f64 x 2) -1)
(fma.f64 (*.f64 x 2) (/.f64 x (*.f64 y 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 (/.f64 x (*.f64 y y)) (*.f64 x 2) -1)
(fma.f64 (*.f64 x 2) (/.f64 x (*.f64 y 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 (/.f64 x (*.f64 y y)) (*.f64 x 2) -1)
(fma.f64 (*.f64 x 2) (/.f64 x (*.f64 y 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 (/.f64 x (*.f64 y y)) (*.f64 x 2) -1)
(fma.f64 (*.f64 x 2) (/.f64 x (*.f64 y 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 (/.f64 x (*.f64 y y)) (*.f64 x 2) -1)
(fma.f64 (*.f64 x 2) (/.f64 x (*.f64 y 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 (/.f64 x (*.f64 y y)) (*.f64 x 2) -1)
(fma.f64 (*.f64 x 2) (/.f64 x (*.f64 y 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 (/.f64 x (*.f64 y y)) (*.f64 x 2) -1)
(fma.f64 (*.f64 x 2) (/.f64 x (*.f64 y 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 (/.f64 x (*.f64 y y)) (*.f64 x 2) -1)
(fma.f64 (*.f64 x 2) (/.f64 x (*.f64 y 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 (/.f64 x (*.f64 y y)) (*.f64 x 2) -1)
(fma.f64 (*.f64 x 2) (/.f64 x (*.f64 y 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 (/.f64 x (*.f64 y y)) (*.f64 x 2) -1)
(fma.f64 (*.f64 x 2) (/.f64 x (*.f64 y y)) -1)
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y))
(*.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 2 (*.f64 y 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 (/.f64 x (*.f64 y y)) (*.f64 x 2) -1)
(fma.f64 (*.f64 x 2) (/.f64 x (*.f64 y 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 (/.f64 x (*.f64 y y)) (*.f64 x 2) -1)
(fma.f64 (*.f64 x 2) (/.f64 x (*.f64 y 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 (/.f64 x (*.f64 y y)) (*.f64 x 2) -1)
(fma.f64 (*.f64 x 2) (/.f64 x (*.f64 y y)) -1)
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y))
(*.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 2 (*.f64 y 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 (/.f64 x (*.f64 y y)) (*.f64 x 2) -1)
(fma.f64 (*.f64 x 2) (/.f64 x (*.f64 y 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 (/.f64 x (*.f64 y y)) (*.f64 x 2) -1)
(fma.f64 (*.f64 x 2) (/.f64 x (*.f64 y 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 (/.f64 x (*.f64 y y)) (*.f64 x 2) -1)
(fma.f64 (*.f64 x 2) (/.f64 x (*.f64 y y)) -1)
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y))
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(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 2 (*.f64 y y))))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y))
(*.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)))
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(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y))
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(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)))
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(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y))
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(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 2 (*.f64 y y))))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y))
(*.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 2 (*.f64 y y))))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y))
(*.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 2 (*.f64 y y))))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y))
(*.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 2 (*.f64 y y))))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y))
(*.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 2 (*.f64 y y))))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y))
(*.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 2 (*.f64 y y))))

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 x y)
✓0.0b
(/.f64 (*.f64 (/.f64 1 (hypot.f64 x y)) (-.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))
0.0b
(/.f64 (hypot.f64 x y) (+.f64 x y))
✓0.1b
(*.f64 (/.f64 1 (hypot.f64 x y)) (-.f64 x y))
Compiler

Compiled 52 to 16 computations (69.2% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite103.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
718×log-prod_binary64
668×prod-diff_binary64
274×log-div_binary64
270×fma-def_binary64
224×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01132
125029
2388629
Stop Event
1×node limit
Counts
2 → 111
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (hypot.f64 x y)) (-.f64 x y))
(/.f64 (*.f64 (/.f64 1 (hypot.f64 x y)) (-.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (hypot.f64 x y) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (hypot.f64 x y) (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (hypot.f64 x y) (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (hypot.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (*.f64 (hypot.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x y)) (neg.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (neg.f64 (hypot.f64 x y)) (fma.f64 y (+.f64 x y) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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(hypot.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) 2)))) (#(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 1 (hypot.f64 x y)) 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 1 (hypot.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 (neg.f64 y) (/.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)) (neg.f64 y)))))))
((#(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 (*.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 #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2))) (*.f64 x (/.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)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) y) (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2))) (+.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 x y) (pow.f64 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(cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) 2) (hypot.f64 x y)) (/.f64 (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) (hypot.f64 x y)) (/.f64 (sqrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 x y) (+.f64 x y))) 2)) (/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (cbrt.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (hypot.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 x y) (+.f64 x y))) 2)) (/.f64 (-.f64 x y) (cbrt.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 x y) (+.f64 x y))) 2)) (/.f64 (/.f64 1 (hypot.f64 x y)) (cbrt.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)))))))) (#(struct:change #<rule 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y)))) (/.f64 (/.f64 1 (hypot.f64 x y)) (sqrt.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) 2) (sqrt.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)))) (/.f64 (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) (sqrt.f64 (/.f64 (hypot.f64 x y) (+.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 (-.f64 x y) (hypot.f64 x y)) (neg.f64 (hypot.f64 x y))) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 1) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x y) (/.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) (/.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) (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (hypot.f64 x y) (/.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) (-.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (neg.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.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 x y) (/.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) (/.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 (-.f64 x y) (hypot.f64 x y)) 3) (pow.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) (/.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) (/.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) (/.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) (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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 #<rule egg-rr> (2) ((x fma.f64 y (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (*.f64 x (/.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)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) y (*.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) x))))))

simplify102.0ms (1%)

Algorithm
1×egg-herbie
Rules
783×times-frac_binary64
590×fma-def_binary64
393×associate-+l+_binary64
388×associate-/r*_binary64
346×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0127906
1429836
21602722
37788710
Stop Event
1×node limit
Counts
159 → 163
Calls
Call 1
Inputs
-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)))))
-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 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.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 1/2 (/.f64 (*.f64 x x) (*.f64 y y))) 1))
(+.f64 -1 (fma.f64 1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y)))
(+.f64 (/.f64 x y) (fma.f64 (/.f64 1/2 y) (/.f64 (*.f64 x x) y) -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)
(+.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 (fma.f64 1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y)) (-.f64 (/.f64 (*.f64 -1/2 (pow.f64 x 3)) (pow.f64 y 3)) 1))
(+.f64 (fma.f64 (/.f64 1/2 y) (/.f64 (*.f64 x x) y) -1) (fma.f64 -1/2 (pow.f64 (/.f64 x y) 3) (/.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 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (+.f64 1 (/.f64 (neg.f64 y) x)))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (/.f64 y x))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y (*.f64 x x)) y) 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)))))
(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))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 (neg.f64 y) x)) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 1/2 (pow.f64 (/.f64 y x) 3) 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)))) 1)
(+.f64 (/.f64 y x) (-.f64 (*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 x x))) 1))
(+.f64 -1 (fma.f64 1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x)))
(+.f64 -1 (fma.f64 1/2 (*.f64 (/.f64 y (*.f64 x x)) y) (/.f64 y x)))
(-.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)
(+.f64 (/.f64 y x) (-.f64 (fma.f64 1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) 1))
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x)) (-.f64 (/.f64 (*.f64 -1/2 (pow.f64 y 3)) (pow.f64 x 3)) 1))
(+.f64 -1 (fma.f64 -1/2 (pow.f64 (/.f64 y x) 3) (fma.f64 1/2 (*.f64 (/.f64 y (*.f64 x x)) y) (/.f64 y x))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (/.f64 (neg.f64 y) x))
(-.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))))
(fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (+.f64 1 (/.f64 (neg.f64 y) x)))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (/.f64 y x))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y (*.f64 x x)) y) 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)))))
(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))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 (neg.f64 y) x)) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 1/2 (pow.f64 (/.f64 y x) 3) 1)) (/.f64 y x))
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.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 1/2 (/.f64 (*.f64 x x) (*.f64 y y))) 1))
(+.f64 -1 (fma.f64 1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y)))
(+.f64 (/.f64 x y) (fma.f64 (/.f64 1/2 y) (/.f64 (*.f64 x x) y) -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)
(+.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 (fma.f64 1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y)) (-.f64 (/.f64 (*.f64 -1/2 (pow.f64 x 3)) (pow.f64 y 3)) 1))
(+.f64 (fma.f64 (/.f64 1/2 y) (/.f64 (*.f64 x x) y) -1) (fma.f64 -1/2 (pow.f64 (/.f64 x y) 3) (/.f64 x y)))
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 (+.f64 1 (*.f64 (/.f64 -1/2 y) (/.f64 (*.f64 x x) y))) (/.f64 x y))
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -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 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (/.f64 -1/2 y) (/.f64 (*.f64 x x) y))) (/.f64 x y)))
(fma.f64 1/2 (pow.f64 (/.f64 x y) 3) (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/2 1) (/.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)
(-.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 (*.f64 -2 (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 y) (/.f64 x y)) (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 (*.f64 -2 (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))
(fma.f64 2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.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))))
(+.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 0 (/.f64 y x)) (fma.f64 (*.f64 (/.f64 y (*.f64 x x)) y) -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)))
(+.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 0 (/.f64 y x)) (fma.f64 (*.f64 (/.f64 y (*.f64 x x)) y) -2 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 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 0 (/.f64 y x)) (fma.f64 (*.f64 (/.f64 y (*.f64 x x)) y) -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)))))))
(+.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 0 (/.f64 y x)) (fma.f64 (*.f64 (/.f64 y (*.f64 x x)) y) -2 1))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -2))
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1)
(fma.f64 (*.f64 (/.f64 y (*.f64 x x)) y) -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 (*.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 (*.f64 (*.f64 y y) -2) (*.f64 x x))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (fma.f64 (*.f64 (/.f64 y (*.f64 x x)) y) -2 1))
(fma.f64 2 (pow.f64 (/.f64 y x) 4) (fma.f64 (*.f64 (/.f64 y (*.f64 x x)) y) -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 (*.f64 -2 (pow.f64 y 6)) (pow.f64 x 6)))))
(+.f64 1 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 (fma.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (/.f64 2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (+.f64 (*.f64 (/.f64 y (*.f64 x x)) y) (/.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 (*.f64 x x)) y) (/.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 (/.f64 x y) (/.f64 x y)) (-.f64 -1 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))))
(+.f64 -1 (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 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 (*.f64 x x) (*.f64 y y)) (*.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 -1 (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 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 (*.f64 x x) (*.f64 y y)) (*.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 -1 (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 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 (*.f64 x x) (*.f64 y y)) (*.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 -1 (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))))

eval735.0ms (7%)

Compiler

Compiled 22507 to 9936 computations (55.9% saved)

prune197.0ms (1.9%)

Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New104751052
Fresh202
Picked011
Done4711
Total1053131066
Error
0b
Counts
1066 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
38.8b
1
✓0.0b
(/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))
✓20.4b
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
25.6b
-1
✓0.0b
(/.f64 (-.f64 x y) (/.f64 (hypot.f64 x y) (/.f64 (+.f64 x y) (hypot.f64 x y))))
✓0.1b
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
✓0.2b
(/.f64 (*.f64 (/.f64 1 (hypot.f64 x y)) (-.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))
✓19.9b
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
24.6b
(+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1)
38.4b
(+.f64 (+.f64 1 0) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
✓38.6b
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
44.0b
(-.f64 1 (*.f64 y (/.f64 y (*.f64 x x))))
✓39.5b
(-.f64 1 (/.f64 y x))
Compiler

Compiled 171 to 98 computations (42.7% saved)

regimes45.0ms (0.4%)

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

4 calls:

15.0ms
x
14.0ms
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 347 to 139 computations (59.9% saved)

regimes38.0ms (0.4%)

Counts
20 → 1
Calls
Call 1
Inputs
1
-1
-1
1
-1
(-.f64 1 (/.f64 y x))
(*.f64 (-.f64 x y) (/.f64 1 x))
(-.f64 1 (*.f64 y (/.f64 y (*.f64 x x))))
(+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1)
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.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 (*.f64 2 (pow.f64 (/.f64 y x) -2)) -1)
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1)
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
(/.f64 (-.f64 x y) (/.f64 (hypot.f64 x y) (/.f64 (+.f64 x y) (hypot.f64 x y))))
Outputs
(/.f64 (-.f64 x y) (/.f64 (hypot.f64 x y) (/.f64 (+.f64 x y) (hypot.f64 x y))))
Calls

4 calls:

13.0ms
x
11.0ms
y
5.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
3.0ms
(/.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 219 to 104 computations (52.5% saved)

regimes92.0ms (0.9%)

Counts
19 → 4
Calls
Call 1
Inputs
1
-1
-1
1
-1
(-.f64 1 (/.f64 y x))
(*.f64 (-.f64 x y) (/.f64 1 x))
(-.f64 1 (*.f64 y (/.f64 y (*.f64 x x))))
(+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1)
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.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 (*.f64 2 (pow.f64 (/.f64 y x) -2)) -1)
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1)
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y 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:

48.0ms
y
27.0ms
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
8.4b3x
4.5b4y
5.1b2(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
5.1b2(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Compiler

Compiled 204 to 100 computations (51% saved)

bsearch67.0ms (0.6%)

Algorithm
3×binary-search
Steps
TimeLeftRight
22.0ms
9.816293967735295e-165
7.880945072838669e-159
22.0ms
-9.259737990795264e-160
-9.497442809364057e-161
22.0ms
-8.918987654442815e+154
-2.2500994804280906e+153
Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes132.0ms (1.3%)

Counts
13 → 7
Calls
Call 1
Inputs
1
-1
-1
1
-1
(-.f64 1 (/.f64 y x))
(*.f64 (-.f64 x y) (/.f64 1 x))
(-.f64 1 (*.f64 y (/.f64 y (*.f64 x x))))
(+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1)
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.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 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1)
(+.f64 (+.f64 1 0) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
(+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1)
(+.f64 (+.f64 1 0) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
(+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1)
(+.f64 (+.f64 1 0) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2)))
(+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1)
Calls

2 calls:

78.0ms
x
50.0ms
y
Results
ErrorSegmentsBranch
14.5b6x
7.7b7y
Compiler

Compiled 95 to 52 computations (45.3% saved)

bsearch154.0ms (1.5%)

Algorithm
6×binary-search
Steps
TimeLeftRight
23.0ms
1.088704166225584e-71
1.9679441167434066e-63
23.0ms
7.484279074228259e-152
2.1212086709243103e-151
22.0ms
8.94088455111634e-181
3.37906282024223e-179
23.0ms
-2.5816840772633373e-216
-3.086366842380406e-220
23.0ms
-4.6487267342967365e-180
-7.961392151358546e-182
39.0ms
-2.4027481049523924e-156
-9.259737990795264e-160
Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes91.0ms (0.9%)

Counts
10 → 7
Calls
Call 1
Inputs
1
-1
-1
1
-1
(-.f64 1 (/.f64 y x))
(*.f64 (-.f64 x y) (/.f64 1 x))
(-.f64 1 (*.f64 y (/.f64 y (*.f64 x x))))
(+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1)
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
Outputs
(+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1)
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1)
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1)
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1)
Calls

2 calls:

47.0ms
x
42.0ms
y
Results
ErrorSegmentsBranch
14.6b6x
7.8b7y
Compiler

Compiled 56 to 34 computations (39.3% saved)

bsearch198.0ms (1.9%)

Algorithm
6×binary-search
Steps
TimeLeftRight
58.0ms
1.088704166225584e-71
1.9679441167434066e-63
47.0ms
7.484279074228259e-152
2.1212086709243103e-151
21.0ms
8.94088455111634e-181
3.37906282024223e-179
23.0ms
-2.5816840772633373e-216
-3.086366842380406e-220
24.0ms
-4.6487267342967365e-180
-7.961392151358546e-182
25.0ms
-2.4027481049523924e-156
-9.259737990795264e-160
Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes128.0ms (1.2%)

Counts
9 → 7
Calls
Call 1
Inputs
1
-1
-1
1
-1
(-.f64 1 (/.f64 y x))
(*.f64 (-.f64 x y) (/.f64 1 x))
(-.f64 1 (*.f64 y (/.f64 y (*.f64 x x))))
(+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1)
Outputs
(+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1)
1
(+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1)
1
(+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1)
1
(+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1)
Calls

2 calls:

83.0ms
y
42.0ms
x
Results
ErrorSegmentsBranch
14.7b6x
7.9b7y
Compiler

Compiled 45 to 29 computations (35.6% saved)

bsearch133.0ms (1.3%)

Algorithm
6×binary-search
Steps
TimeLeftRight
21.0ms
1.088704166225584e-71
1.9679441167434066e-63
22.0ms
7.484279074228259e-152
2.1212086709243103e-151
21.0ms
8.94088455111634e-181
3.37906282024223e-179
23.0ms
-2.5816840772633373e-216
-3.086366842380406e-220
22.0ms
-4.6487267342967365e-180
-7.961392151358546e-182
23.0ms
-2.4027481049523924e-156
-9.259737990795264e-160
Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes68.0ms (0.7%)

Accuracy

Total -55.3b remaining (-665.4%)

Threshold costs -55.3b (-665.4%)

Counts
8 → 7
Calls
Call 1
Inputs
1
-1
-1
1
-1
(-.f64 1 (/.f64 y x))
(*.f64 (-.f64 x y) (/.f64 1 x))
(-.f64 1 (*.f64 y (/.f64 y (*.f64 x x))))
Outputs
-1
1
-1
1
-1
1
-1
Calls

2 calls:

34.0ms
y
32.0ms
x
Results
ErrorSegmentsBranch
15.1b6x
8.3b7y
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch130.0ms (1.2%)

Algorithm
6×binary-search
Steps
TimeLeftRight
21.0ms
1.088704166225584e-71
1.9679441167434066e-63
22.0ms
7.484279074228259e-152
2.1212086709243103e-151
22.0ms
8.94088455111634e-181
3.37906282024223e-179
22.0ms
-2.5816840772633373e-216
-3.086366842380406e-220
21.0ms
-4.6487267342967365e-180
-7.961392151358546e-182
22.0ms
-2.4027481049523924e-156
-9.259737990795264e-160
Compiler

Compiled 22 to 13 computations (40.9% saved)

simplify24.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
9×+-commutative_binary64
6×*-commutative_binary64
3×sub-neg_binary64
2×neg-sub0_binary64
1×distribute-neg-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080563
195557
2101557
3104557
4106557
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.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))))
(if (<=.f64 y -89189876544428148716084966332349698940970493494492734410470168376135204443545579531236901909529793886787511570162280417404221241232903074678212151537041408) -1 (if (<=.f64 y -7328687087357283/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) (if (<=.f64 y 5091608080978773/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672) (+.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 -4642755104973565/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1) (if (<=.f64 y -5429642156232093/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656) (+.f64 (+.f64 1 0) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2))) (if (<=.f64 y -8016222477111985/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712) (+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1) (if (<=.f64 y 8354253789897519/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248) (+.f64 (+.f64 1 0) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2))) (if (<=.f64 y 8826683750942375/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1) (if (<=.f64 y 2707189397200629/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (+.f64 (+.f64 1 0) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2))) (+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1)))))))
(if (<=.f64 y -4642755104973565/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1) (if (<=.f64 y -5429642156232093/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656) (+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) (if (<=.f64 y -8016222477111985/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712) (+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1) (if (<=.f64 y 8354253789897519/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248) (+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) (if (<=.f64 y 8826683750942375/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1) (if (<=.f64 y 2707189397200629/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) (+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1)))))))
(if (<=.f64 y -4642755104973565/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1) (if (<=.f64 y -5429642156232093/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656) 1 (if (<=.f64 y -8016222477111985/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712) (+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1) (if (<=.f64 y 8354253789897519/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248) 1 (if (<=.f64 y 8826683750942375/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1) (if (<=.f64 y 2707189397200629/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) 1 (+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1)))))))
(if (<=.f64 y -4642755104973565/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) -1 (if (<=.f64 y -5429642156232093/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656) 1 (if (<=.f64 y -8016222477111985/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712) -1 (if (<=.f64 y 8354253789897519/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248) 1 (if (<=.f64 y 8826683750942375/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) -1 (if (<=.f64 y 2707189397200629/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) 1 -1))))))
1
Outputs
(/.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))))
(if (<=.f64 y -89189876544428148716084966332349698940970493494492734410470168376135204443545579531236901909529793886787511570162280417404221241232903074678212151537041408) -1 (if (<=.f64 y -7328687087357283/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) (if (<=.f64 y 5091608080978773/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672) (+.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 -89189876544428148716084966332349698940970493494492734410470168376135204443545579531236901909529793886787511570162280417404221241232903074678212151537041408) -1 (if (<=.f64 y -7328687087357283/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) (if (<=.f64 y 5091608080978773/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672) (+.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 -4642755104973565/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1) (if (<=.f64 y -5429642156232093/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656) (+.f64 (+.f64 1 0) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2))) (if (<=.f64 y -8016222477111985/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712) (+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1) (if (<=.f64 y 8354253789897519/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248) (+.f64 (+.f64 1 0) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2))) (if (<=.f64 y 8826683750942375/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1) (if (<=.f64 y 2707189397200629/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (+.f64 (+.f64 1 0) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2))) (+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1)))))))
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(if (<=.f64 y -4642755104973565/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1) (if (<=.f64 y -5429642156232093/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656) (+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) (if (<=.f64 y -8016222477111985/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712) (+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1) (if (<=.f64 y 8354253789897519/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248) (+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) (if (<=.f64 y 8826683750942375/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1) (if (<=.f64 y 2707189397200629/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) (+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1)))))))
(if (<=.f64 y -4642755104973565/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (+.f64 -1 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)))) (if (<=.f64 y -5429642156232093/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656) (+.f64 (/.f64 y x) (+.f64 1 (neg.f64 (/.f64 y x)))) (if (<=.f64 y -8016222477111985/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712) (+.f64 -1 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)))) (if (<=.f64 y 8354253789897519/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248) (+.f64 (/.f64 y x) (+.f64 1 (neg.f64 (/.f64 y x)))) (if (<=.f64 y 8826683750942375/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (+.f64 -1 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)))) (if (<=.f64 y 2707189397200629/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (+.f64 (/.f64 y x) (+.f64 1 (neg.f64 (/.f64 y x)))) (+.f64 -1 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))))))))))
(if (<=.f64 y -4642755104973565/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (+.f64 -1 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)))) (if (<=.f64 y -5429642156232093/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656) (+.f64 (/.f64 y x) (-.f64 1 (/.f64 y x))) (if (<=.f64 y -8016222477111985/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712) (+.f64 -1 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)))) (if (<=.f64 y 8354253789897519/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248) (+.f64 (/.f64 y x) (-.f64 1 (/.f64 y x))) (if (<=.f64 y 8826683750942375/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (+.f64 -1 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)))) (if (<=.f64 y 2707189397200629/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (+.f64 (/.f64 y x) (-.f64 1 (/.f64 y x))) (+.f64 -1 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))))))))))
(if (<=.f64 y -4642755104973565/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1) (if (<=.f64 y -5429642156232093/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656) 1 (if (<=.f64 y -8016222477111985/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712) (+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1) (if (<=.f64 y 8354253789897519/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248) 1 (if (<=.f64 y 8826683750942375/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1) (if (<=.f64 y 2707189397200629/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) 1 (+.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) -1)))))))
(if (<=.f64 y -4642755104973565/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (+.f64 -1 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)))) (if (<=.f64 y -5429642156232093/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656) 1 (if (<=.f64 y -8016222477111985/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712) (+.f64 -1 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)))) (if (<=.f64 y 8354253789897519/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248) 1 (if (<=.f64 y 8826683750942375/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (+.f64 -1 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)))) (if (<=.f64 y 2707189397200629/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) 1 (+.f64 -1 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))))))))))
(if (<=.f64 y -4642755104973565/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) -1 (if (<=.f64 y -5429642156232093/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656) 1 (if (<=.f64 y -8016222477111985/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712) -1 (if (<=.f64 y 8354253789897519/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248) 1 (if (<=.f64 y 8826683750942375/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) -1 (if (<=.f64 y 2707189397200629/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) 1 -1))))))
1
Compiler

Compiled 399 to 214 computations (46.4% saved)

soundness0.0ms (0%)

end122.0ms (1.2%)

Compiler

Compiled 385 to 189 computations (50.9% saved)

Profiling

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