Details

Time bar (total: 2.5s)

analyze62.0ms (2.5%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
37.5%37.5%62.4%0.1%0%0%0%6
51.6%50%46.8%0.1%3.1%0%0%7
61.3%59.3%37.5%0.1%3.1%0%0%8
72.3%67.1%25.8%0.1%7%0%0%9
78.2%72.6%20.3%0.1%7%0%0%10
85.1%76.9%13.5%0.1%9.6%0%0%11
88.3%79.8%10.5%0.1%9.6%0%0%12
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample796.0ms (31.5%)

Results
759.0ms8256×body256valid
26.0ms306×body256infinite
Bogosity

preprocess105.0ms (4.1%)

Algorithm
2×egg-herbie
Rules
1297×fma-neg_binary64
334×cancel-sign-sub-inv_binary64
295×fma-def_binary64
254×sub-neg_binary64
198×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01632
14428
210624
324524
455522
5121022
6225622
7346722
8385722
9387522
10387522
11453322
12453322
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (*.f64 y (-.f64 x 1)) (*.f64 x 1/2)) 918938533204673/1000000000000000)
Outputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)
(fma.f64 x (-.f64 y 1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 (-.f64 (*.f64 y (-.f64 x 1)) (*.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1)) (*.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1) (*.f64 x -1/2)))
(fma.f64 y (+.f64 x -1) (fma.f64 x -1/2 918938533204673/1000000000000000))
(fma.f64 x (+.f64 y -1/2) (-.f64 918938533204673/1000000000000000 y))
(-.f64 918938533204673/1000000000000000 (fma.f64 x (-.f64 1/2 y) y))
Compiler

Compiled 15 to 12 computations (20% saved)

simplify49.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
706×fma-neg_binary64
571×fma-def_binary64
225×cancel-sign-sub-inv_binary64
113×sub-neg_binary64
83×associate--r+_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01116
12714
26212
313112
427011
557611
6109811
7182411
8260611
9277711
10280411
Stop Event
1×saturated
Counts
1 → 6
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Outputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (*.f64 y 1/2))) 918938533204673/1000000000000000)
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))

eval1.0ms (0.1%)

Compiler

Compiled 59 to 41 computations (30.5% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New426
Fresh011
Picked000
Done000
Total437
Error
0b
Counts
7 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0b
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
▶0.0b
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Compiler

Compiled 23 to 17 computations (26.1% saved)

localize23.0ms (0.9%)

Local error

Found 1 expressions with local error:

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

Compiled 38 to 26 computations (31.6% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite61.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
459×log-prod_binary64
426×fma-def_binary64
366×prod-exp_binary64
341×exp-prod_binary64
313×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0913
120811
2275611
Stop Event
1×node limit
Counts
1 → 175
Calls
Call 1
Inputs
(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 y -1)) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 y -1)) (*.f64 (*.f64 y -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y -1/2 (fma.f64 y -1/2 (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (fma.f64 y -1/2 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (fma.f64 (*.f64 y -1/2) 1 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (cbrt.f64 (*.f64 (*.f64 y y) 1/4)) (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (*.f64 (fma.f64 y -1/2 (*.f64 y 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 y -1/2 (*.f64 y 1/2)) 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simplify107.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
356×distribute-rgt-in_binary64
313×distribute-lft-in_binary64
267×associate-+l+_binary64
245×cancel-sign-sub-inv_binary64
245×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03293596
17843451
221993156
Stop Event
1×node limit
Counts
199 → 229
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 -1/2 y))
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 -1/2 y))
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 -1/2 y))
(*.f64 (-.f64 y 1) x)
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x))
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x))
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x))
(*.f64 (-.f64 y 1) x)
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x))
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x))
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x))
(*.f64 -1 x)
(+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x))
(+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x))
(+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x))
(*.f64 y (-.f64 x 1/2))
(+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2)))
(+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2)))
(+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2)))
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x))
(+.f64 (*.f64 x (+.f64 y -1)) (*.f64 y -1/2))
(+.f64 (*.f64 x (+.f64 y -1)) (*.f64 (*.f64 y -1/2) 1))
(+.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y -1/2 (fma.f64 y -1/2 (*.f64 y 1/2))))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (fma.f64 y -1/2 (*.f64 y 1/2)))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (fma.f64 (*.f64 y -1/2) 1 (*.f64 y 1/2)))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (cbrt.f64 (*.f64 (*.f64 y y) 1/4)) (*.f64 y 1/2)))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (*.f64 (fma.f64 y -1/2 (*.f64 y 1/2)) 1))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 y -1/2 (*.f64 y 1/2)) (fma.f64 y -1/2 (*.f64 y 1/2))))
(+.f64 0 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(+.f64 (fma.f64 y -1/2 (*.f64 y 1/2)) (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(+.f64 (*.f64 y -1/2) (*.f64 x (+.f64 y -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))))
(*.f64 1 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(*.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 1)
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 2) (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) (sqrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3))) (/.f64 1 (fma.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)) (pow.f64 (*.f64 x (+.f64 y -1)) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y y) 1/4)) (/.f64 1 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)) (pow.f64 (*.f64 x (+.f64 y -1)) 2)) (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3)))))
(/.f64 1 (/.f64 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)) (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y y) 1/4))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3))) (fma.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)) (pow.f64 (*.f64 x (+.f64 y -1)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y y) 1/4)) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3)))) (neg.f64 (fma.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)) (pow.f64 (*.f64 x (+.f64 y -1)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y y) 1/4))) (neg.f64 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (*.f64 y -1/2) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (-.f64 (pow.f64 (*.f64 y -1/2) 2) (*.f64 (*.f64 x (+.f64 y -1)) (*.f64 y -1/2)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 3) (pow.f64 (fma.f64 y -1/2 (*.f64 y 1/2)) 3)) (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 2) (-.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 y 1/2)) 2) (*.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (fma.f64 y -1/2 (*.f64 y 1/2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (*.f64 y -1/2) 2)) (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y -1/2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 2) (pow.f64 (fma.f64 y -1/2 (*.f64 y 1/2)) 2)) (-.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (fma.f64 y -1/2 (*.f64 y 1/2))))
(pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 1)
(pow.f64 (E.f64) (log.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)) (pow.f64 (*.f64 x (+.f64 y -1)) 2)) (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3)))) -1)
(pow.f64 (/.f64 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)) (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y y) 1/4))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))) (sqrt.f64 (log.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 2))
(log.f64 (exp.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y -1)))) (sqrt.f64 (exp.f64 y))))
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(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 1) 1))
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (*.f64 (*.f64 y -1/2) 1))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 (fma.f64 y -1/2 (*.f64 y 1/2))))
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(fma.f64 1 (*.f64 x (+.f64 y -1)) (*.f64 (*.f64 y -1/2) 1))
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(fma.f64 (+.f64 y -1) x (*.f64 (*.f64 y -1/2) 1))
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(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) (fma.f64 (*.f64 y -1/2) 1 (*.f64 y 1/2)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (cbrt.f64 (*.f64 (*.f64 y y) 1/4)) (*.f64 y 1/2)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) (*.f64 (fma.f64 y -1/2 (*.f64 y 1/2)) 1))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) (+.f64 (fma.f64 y -1/2 (*.f64 y 1/2)) (fma.f64 y -1/2 (*.f64 y 1/2))))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 y y) 1/4))) (cbrt.f64 (*.f64 y 1/2)) (*.f64 x (+.f64 y -1)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (*.f64 y -1/2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (*.f64 (*.f64 y -1/2) 1))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (fma.f64 y -1/2 (fma.f64 y -1/2 (*.f64 y 1/2))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (neg.f64 (-.f64 (*.f64 y 1/2) (fma.f64 y -1/2 (*.f64 y 1/2)))))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (*.f64 y -1/2))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (*.f64 (*.f64 y -1/2) 1))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (fma.f64 y -1/2 (fma.f64 y -1/2 (*.f64 y 1/2))))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (neg.f64 (-.f64 (*.f64 y 1/2) (fma.f64 y -1/2 (*.f64 y 1/2)))))
(fma.f64 (*.f64 (+.f64 y -1) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 y -1/2))
(fma.f64 (*.f64 (+.f64 y -1) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 (*.f64 y -1/2) 1))
(fma.f64 (*.f64 (+.f64 y -1) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (fma.f64 y -1/2 (fma.f64 y -1/2 (*.f64 y 1/2))))
(fma.f64 (*.f64 (+.f64 y -1) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 y 1/2) (fma.f64 y -1/2 (*.f64 y 1/2)))))
(fma.f64 (*.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y -1/2))
(fma.f64 (*.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 y -1/2) 1))
(fma.f64 (*.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y -1/2 (fma.f64 y -1/2 (*.f64 y 1/2))))
(fma.f64 (*.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 y 1/2) (fma.f64 y -1/2 (*.f64 y 1/2)))))
Outputs
(*.f64 -1/2 y)
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2)))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2)))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2)))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (*.f64 x (+.f64 y -1)) (*.f64 y -1/2))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (*.f64 x (+.f64 y -1)) (*.f64 (*.f64 y -1/2) 1))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y -1/2 (fma.f64 y -1/2 (*.f64 y 1/2))))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (fma.f64 y -1/2 (*.f64 y 1/2)))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (fma.f64 (*.f64 y -1/2) 1 (*.f64 y 1/2)))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (cbrt.f64 (*.f64 (*.f64 y y) 1/4)) (*.f64 y 1/2)))
(+.f64 (fma.f64 -1/2 y (*.f64 x (+.f64 y -1))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (cbrt.f64 (*.f64 (*.f64 y y) 1/4)) (*.f64 y 1/2)))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (cbrt.f64 (*.f64 y (*.f64 y 1/4))) (*.f64 y 1/2)))
(-.f64 (-.f64 (*.f64 y x) x) (*.f64 (cbrt.f64 (*.f64 y 1/2)) (cbrt.f64 (*.f64 y (*.f64 y 1/4)))))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (*.f64 (fma.f64 y -1/2 (*.f64 y 1/2)) 1))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 y -1/2 (*.f64 y 1/2)) (fma.f64 y -1/2 (*.f64 y 1/2))))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 0 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (fma.f64 y -1/2 (*.f64 y 1/2)) (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (*.f64 y -1/2) (*.f64 x (+.f64 y -1)))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 y (*.f64 x (+.f64 y -1))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x))))))
(*.f64 1 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(*.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 1)
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 2))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 2) (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) (sqrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3))) (/.f64 1 (fma.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)) (pow.f64 (*.f64 x (+.f64 y -1)) 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 -1/8 (pow.f64 y 3))) (/.f64 1 (fma.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)) (pow.f64 (*.f64 x (+.f64 y -1)) 2))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (-.f64 (*.f64 y x) x) 3)) (fma.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)) (pow.f64 (-.f64 (*.f64 y x) x) 2)))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y y) 1/4)) (/.f64 1 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2) (*.f64 (*.f64 y y) -1/4)) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))))
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) (sqrt.f64 (*.f64 y 1/2))) (-.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) (sqrt.f64 (*.f64 y 1/2))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)) (pow.f64 (*.f64 x (+.f64 y -1)) 2)) (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 -1/8 (pow.f64 y 3))) (/.f64 1 (fma.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)) (pow.f64 (*.f64 x (+.f64 y -1)) 2))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (-.f64 (*.f64 y x) x) 3)) (fma.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)) (pow.f64 (-.f64 (*.f64 y x) x) 2)))
(/.f64 1 (/.f64 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)) (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y y) 1/4))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y y) 1/4)) (/.f64 1 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2) (*.f64 (*.f64 y y) -1/4)) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3))) (fma.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)) (pow.f64 (*.f64 x (+.f64 y -1)) 2)))
(*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 -1/8 (pow.f64 y 3))) (/.f64 1 (fma.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)) (pow.f64 (*.f64 x (+.f64 y -1)) 2))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (-.f64 (*.f64 y x) x) 3)) (fma.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)) (pow.f64 (-.f64 (*.f64 y x) x) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y y) 1/4)) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y y) 1/4)) (/.f64 1 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))))
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(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
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(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
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(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
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(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) (fma.f64 y -1/2 (*.f64 y 1/2)))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) (sqrt.f64 (*.f64 y 1/2))) (-.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) (sqrt.f64 (*.f64 y 1/2))) (*.f64 y 0))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) (sqrt.f64 (*.f64 y 1/2))) (-.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) (sqrt.f64 (*.f64 y 1/2))) 0)
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) (+.f64 (fma.f64 y -1/2 (*.f64 y 1/2)) (fma.f64 y -1/2 (*.f64 y 1/2))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) (fma.f64 y -1/2 (*.f64 y 1/2)))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) (sqrt.f64 (*.f64 y 1/2))) (-.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) (sqrt.f64 (*.f64 y 1/2))) (*.f64 y 0))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) (sqrt.f64 (*.f64 y 1/2))) (-.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) (sqrt.f64 (*.f64 y 1/2))) 0)
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 y y) 1/4))) (cbrt.f64 (*.f64 y 1/2)) (*.f64 x (+.f64 y -1)))
(+.f64 (fma.f64 -1/2 y (*.f64 x (+.f64 y -1))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (cbrt.f64 (*.f64 (*.f64 y y) 1/4)) (*.f64 y 1/2)))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (cbrt.f64 (*.f64 y (*.f64 y 1/4))) (*.f64 y 1/2)))
(-.f64 (-.f64 (*.f64 y x) x) (*.f64 (cbrt.f64 (*.f64 y 1/2)) (cbrt.f64 (*.f64 y (*.f64 y 1/4)))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (*.f64 y -1/2))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (*.f64 (*.f64 y -1/2) 1))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (fma.f64 y -1/2 (fma.f64 y -1/2 (*.f64 y 1/2))))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (neg.f64 (-.f64 (*.f64 y 1/2) (fma.f64 y -1/2 (*.f64 y 1/2)))))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (*.f64 y -1/2))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (*.f64 (*.f64 y -1/2) 1))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (fma.f64 y -1/2 (fma.f64 y -1/2 (*.f64 y 1/2))))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (neg.f64 (-.f64 (*.f64 y 1/2) (fma.f64 y -1/2 (*.f64 y 1/2)))))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(fma.f64 (*.f64 (+.f64 y -1) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 y -1/2))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (+.f64 y -1) (cbrt.f64 x)) (*.f64 -1/2 y))
(fma.f64 (*.f64 (+.f64 y -1) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 (*.f64 y -1/2) 1))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (+.f64 y -1) (cbrt.f64 x)) (*.f64 -1/2 y))
(fma.f64 (*.f64 (+.f64 y -1) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (fma.f64 y -1/2 (fma.f64 y -1/2 (*.f64 y 1/2))))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (+.f64 y -1) (cbrt.f64 x)) (*.f64 -1/2 y))
(fma.f64 (*.f64 (+.f64 y -1) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 y 1/2) (fma.f64 y -1/2 (*.f64 y 1/2)))))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (+.f64 y -1) (cbrt.f64 x)) (*.f64 -1/2 y))
(fma.f64 (*.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y -1/2))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(fma.f64 (*.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 y -1/2) 1))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(fma.f64 (*.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y -1/2 (fma.f64 y -1/2 (*.f64 y 1/2))))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(fma.f64 (*.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 y 1/2) (fma.f64 y -1/2 (*.f64 y 1/2)))))
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))

localize9.0ms (0.3%)

Compiler

Compiled 20 to 13 computations (35% saved)

eval95.0ms (3.8%)

Compiler

Compiled 5140 to 3672 computations (28.6% saved)

prune36.0ms (1.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2254229
Fresh000
Picked101
Done101
Total2274231
Error
0b
Counts
231 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
▶19.2b
(+.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000)
▶17.9b
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
▶26.9b
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
▶28.6b
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
Compiler

Compiled 31 to 24 computations (22.6% saved)

localize5.0ms (0.2%)

Compiler

Compiled 10 to 6 computations (40% saved)

localize5.0ms (0.2%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 y (-.f64 x 1/2))
✓0.0b
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
Compiler

Compiled 21 to 14 computations (33.3% saved)

series5.0ms (0.2%)

Counts
2 → 36
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
0.0ms
y
@-inf
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
0.0ms
x
@-inf
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
0.0ms
y
@0
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
0.0ms
y
@inf
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)

rewrite59.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
966×pow1_binary64
905×add-log-exp_binary64
905×log1p-expm1-u_binary64
905×expm1-log1p-u_binary64
94×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
118415
2233515
Stop Event
1×node limit
Counts
2 → 51
Calls
Call 1
Inputs
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(*.f64 y (-.f64 x 1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 x -1/2) (*.f64 y 918938533204673/1000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (/.f64 1 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 x -1/2) (*.f64 y 918938533204673/1000000000000000)))) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 x -1/2) (*.f64 y 918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (*.f64 (+.f64 x -1/2) (*.f64 y 918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 x -1/2) (*.f64 y 918938533204673/1000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000)) (neg.f64 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -1/2) y 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2) (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 918938533204673/1000000000000000)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) y) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1/4) y) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))))))

simplify62.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
572×div-sub_binary64
554×fma-neg_binary64
411×distribute-rgt-in_binary64
383×distribute-lft-in_binary64
311×log-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01361010
1305974
21048894
36225894
Stop Event
1×node limit
Counts
87 → 73
Calls
Call 1
Inputs
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(*.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 1)
(*.f64 1 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(*.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 x -1/2) (*.f64 y 918938533204673/1000000000000000))))))
(*.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (/.f64 1 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 x -1/2) (*.f64 y 918938533204673/1000000000000000)))) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))))
(/.f64 1 (/.f64 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000)))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 x -1/2) (*.f64 y 918938533204673/1000000000000000)))))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (*.f64 (+.f64 x -1/2) (*.f64 y 918938533204673/1000000000000000)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(/.f64 (neg.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 x -1/2) (*.f64 y 918938533204673/1000000000000000))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000)) (neg.f64 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))))
(pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 1)
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 3)
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2)
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 (+.f64 x -1/2) y 918938533204673/1000000000000000)
(fma.f64 1 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2) (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 918938533204673/1000000000000000)
(fma.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 918938533204673/1000000000000000)
(+.f64 (*.f64 x y) (*.f64 -1/2 y))
(+.f64 (*.f64 y x) (*.f64 y -1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) y) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))
(/.f64 (*.f64 (fma.f64 x x -1/4) y) (+.f64 x 1/2))
(/.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))
(/.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 1/2))
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))
Outputs
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))
(fma.f64 y -1/2 918938533204673/1000000000000000)
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 -1/2 y)
(*.f64 y -1/2)
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))) 1)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(+.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (/.f64 -844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(*.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 1)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 1 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 x -1/2) (*.f64 y 918938533204673/1000000000000000))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 x -1/2) (*.f64 918938533204673/1000000000000000 y)))) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000))))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (fma.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(*.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (/.f64 1 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(-.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(+.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (/.f64 -844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 x -1/2) (*.f64 y 918938533204673/1000000000000000)))) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 x -1/2) (*.f64 918938533204673/1000000000000000 y)))) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000))))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (fma.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(/.f64 1 (/.f64 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000)))
(-.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(+.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (/.f64 -844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 x -1/2) (*.f64 y 918938533204673/1000000000000000)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 x -1/2) (*.f64 918938533204673/1000000000000000 y)))) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000))))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (fma.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (*.f64 (+.f64 x -1/2) (*.f64 y 918938533204673/1000000000000000)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 x -1/2) (*.f64 918938533204673/1000000000000000 y)))) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000))))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (fma.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(-.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(+.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (/.f64 -844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(/.f64 (neg.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 x -1/2) (*.f64 y 918938533204673/1000000000000000))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 x -1/2) (*.f64 918938533204673/1000000000000000 y)))) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000))))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (fma.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000)) (neg.f64 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(-.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(+.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (/.f64 -844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))))
(-.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(+.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (/.f64 -844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 1)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) 1/3)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 3)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(log.f64 (exp.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 (+.f64 x -1/2) y 918938533204673/1000000000000000)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 1 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2) (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 918938533204673/1000000000000000)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 918938533204673/1000000000000000)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 (*.f64 x y) (*.f64 -1/2 y))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 y x) (*.f64 y -1/2))
(*.f64 y (+.f64 x -1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)
(*.f64 y (+.f64 x -1/2))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) y) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))
(/.f64 (+.f64 (pow.f64 x 3) -1/8) (/.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))) y))
(*.f64 (/.f64 y (fma.f64 x x (fma.f64 x 1/2 1/4))) (+.f64 (pow.f64 x 3) -1/8))
(/.f64 y (/.f64 (fma.f64 x x (fma.f64 x 1/2 1/4)) (+.f64 (pow.f64 x 3) -1/8)))
(/.f64 (*.f64 (fma.f64 x x -1/4) y) (+.f64 x 1/2))
(/.f64 y (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))
(*.f64 (/.f64 y (+.f64 x 1/2)) (fma.f64 x x -1/4))
(*.f64 (fma.f64 x x -1/4) (/.f64 y (+.f64 x 1/2)))
(/.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))
(/.f64 (+.f64 (pow.f64 x 3) -1/8) (/.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))) y))
(*.f64 (/.f64 y (fma.f64 x x (fma.f64 x 1/2 1/4))) (+.f64 (pow.f64 x 3) -1/8))
(/.f64 y (/.f64 (fma.f64 x x (fma.f64 x 1/2 1/4)) (+.f64 (pow.f64 x 3) -1/8)))
(/.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 1/2))
(/.f64 y (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))
(*.f64 (/.f64 y (+.f64 x 1/2)) (fma.f64 x x -1/4))
(*.f64 (fma.f64 x x -1/4) (/.f64 y (+.f64 x 1/2)))
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1)
(*.f64 y (+.f64 x -1/2))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)
(*.f64 y (+.f64 x -1/2))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(*.f64 y (+.f64 x -1/2))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
(*.f64 y (+.f64 x -1/2))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(*.f64 y (+.f64 x -1/2))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2)))
(*.f64 y (+.f64 x -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -1/2)))))
(*.f64 y (+.f64 x -1/2))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(*.f64 y (+.f64 x -1/2))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 x -1/2))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 x -1/2))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 x -1/2))

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000)
✓0.0b
(-.f64 (*.f64 y x) x)
Compiler

Compiled 20 to 7 computations (65% saved)

series4.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(-.f64 (*.f64 y x) x)
0.0ms
x
@inf
(-.f64 (*.f64 y x) x)
0.0ms
y
@0
(-.f64 (*.f64 y x) x)
0.0ms
x
@0
(-.f64 (*.f64 y x) x)
0.0ms
x
@inf
(+.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000)

rewrite59.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
950×pow1_binary64
890×add-log-exp_binary64
890×log1p-expm1-u_binary64
890×expm1-log1p-u_binary64
87×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116417
2231917
Stop Event
1×node limit
Counts
2 → 79
Calls
Call 1
Inputs
(-.f64 (*.f64 y x) x)
(+.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 y x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2) (cbrt.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) (sqrt.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x))) (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y x x) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))) (neg.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 y x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 y x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 y x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y x) (-.f64 x 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2) (-.f64 (*.f64 y x) (+.f64 x 918938533204673/1000000000000000))) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 (*.f64 y x) (+.f64 x 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))) (pow.f64 (cbrt.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))) 2) (cbrt.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))) (sqrt.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 (*.f64 y x) x) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2) -844448027808355901771309036929/1000000000000000000000000000000) (/.f64 1 (-.f64 (*.f64 y x) (+.f64 x 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000))) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 (*.f64 y x) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y x) (+.f64 x 918938533204673/1000000000000000)) (+.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2) -844448027808355901771309036929/1000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 (*.f64 y x) x) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 (*.f64 y x) x) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2) (*.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2) -844448027808355901771309036929/1000000000000000000000000000000) (-.f64 (*.f64 y x) (+.f64 x 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 (*.f64 y x) x) 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2) -844448027808355901771309036929/1000000000000000000000000000000)) (neg.f64 (-.f64 (*.f64 y x) (+.f64 x 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (-.f64 x 918938533204673/1000000000000000) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (+.f64 (*.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000)) (*.f64 (*.f64 y x) (-.f64 x 918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000))) (+.f64 (*.f64 y x) (-.f64 x 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (-.f64 (*.f64 y x) x) 2)) (-.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (neg.f64 (-.f64 x 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (neg.f64 (-.f64 x 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2) (cbrt.f64 (-.f64 (*.f64 y x) x)) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 (-.f64 x 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) (sqrt.f64 (-.f64 (*.f64 y x) x)) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 (-.f64 x 918938533204673/1000000000000000)))))))

simplify55.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
552×distribute-rgt-in_binary64
510×distribute-lft-in_binary64
419×times-frac_binary64
372×cancel-sign-sub-inv_binary64
358×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01981517
14981405
218911405
Stop Event
1×node limit
Counts
127 → 115
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(*.f64 y x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(*.f64 y x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
918938533204673/1000000000000000
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(*.f64 (-.f64 y 1) x)
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 (*.f64 y x) (neg.f64 x))
(+.f64 (*.f64 y x) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (neg.f64 x) (*.f64 y x))
(*.f64 x (-.f64 y 1))
(*.f64 (-.f64 (*.f64 y x) x) 1)
(*.f64 1 (-.f64 (*.f64 y x) x))
(*.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2) (cbrt.f64 (-.f64 (*.f64 y x) x)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) (sqrt.f64 (-.f64 (*.f64 y x) x)))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x))) (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 y x x) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (fma.f64 y x x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))) (neg.f64 (fma.f64 y x x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 y x) (neg.f64 x)))
(pow.f64 (-.f64 (*.f64 y x) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) 2)
(pow.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 y x) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 y x) x))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 y x) x)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 y x) x)))
(exp.f64 (log.f64 (-.f64 (*.f64 y x) x)))
(fma.f64 y x (neg.f64 x))
(fma.f64 x y (neg.f64 x))
(fma.f64 1 (*.f64 y x) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 x))
(-.f64 (*.f64 y x) (-.f64 x 918938533204673/1000000000000000))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000))))) 1)
(-.f64 (/.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2) (-.f64 (*.f64 y x) (+.f64 x 918938533204673/1000000000000000))) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 (*.f64 y x) (+.f64 x 918938533204673/1000000000000000))))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(*.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000))) 1)
(*.f64 1 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000))))
(*.f64 (cbrt.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))) (pow.f64 (cbrt.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))) 2) (cbrt.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))))
(*.f64 (sqrt.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))) (sqrt.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))))
(*.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 (*.f64 y x) x) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000)))))
(*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2) -844448027808355901771309036929/1000000000000000000000000000000) (/.f64 1 (-.f64 (*.f64 y x) (+.f64 x 918938533204673/1000000000000000))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000))) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 (*.f64 y x) x) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 y x) (+.f64 x 918938533204673/1000000000000000)) (+.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2) -844448027808355901771309036929/1000000000000000000000000000000)))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 (*.f64 y x) x) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000))))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 (*.f64 y x) x) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2) (*.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2) -844448027808355901771309036929/1000000000000000000000000000000) (-.f64 (*.f64 y x) (+.f64 x 918938533204673/1000000000000000)))
(/.f64 (neg.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 (*.f64 y x) x) 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2) -844448027808355901771309036929/1000000000000000000000000000000)) (neg.f64 (-.f64 (*.f64 y x) (+.f64 x 918938533204673/1000000000000000))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (-.f64 x 918938533204673/1000000000000000) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (+.f64 (*.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000)) (*.f64 (*.f64 y x) (-.f64 x 918938533204673/1000000000000000)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000))) (+.f64 (*.f64 y x) (-.f64 x 918938533204673/1000000000000000)))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (-.f64 (*.f64 y x) x) 2)) (-.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)))
(pow.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000))) 1)
(pow.f64 (pow.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000))) 2))
(log.f64 (exp.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000))))))
(cbrt.f64 (pow.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000))) 3))
(expm1.f64 (log1p.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))))
(log1p.f64 (expm1.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))))
(exp.f64 (log.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))))
(fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))
(fma.f64 x y (neg.f64 (-.f64 x 918938533204673/1000000000000000)))
(fma.f64 1 (*.f64 y x) (neg.f64 (-.f64 x 918938533204673/1000000000000000)))
(fma.f64 1 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2) (cbrt.f64 (-.f64 (*.f64 y x) x)) 918938533204673/1000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 (-.f64 x 918938533204673/1000000000000000)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) (sqrt.f64 (-.f64 (*.f64 y x) x)) 918938533204673/1000000000000000)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 (-.f64 x 918938533204673/1000000000000000)))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(*.f64 y x)
(*.f64 x y)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(*.f64 y x)
(*.f64 x y)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
918938533204673/1000000000000000
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(+.f64 (*.f64 y x) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 (neg.f64 x) 1))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 x) 1 x))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(+.f64 (neg.f64 x) (*.f64 y x))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 (-.f64 (*.f64 y x) x) 1)
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 1 (-.f64 (*.f64 y x) x))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2) (cbrt.f64 (-.f64 (*.f64 y x) x)))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) (sqrt.f64 (-.f64 (*.f64 y x) x)))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (fma.f64 y x x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2)))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (fma.f64 x y x))
(*.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x))) (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (fma.f64 y x x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2)))
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(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000))) (fma.f64 y x (+.f64 x -918938533204673/1000000000000000)))
(/.f64 (*.f64 (fma.f64 x y (-.f64 x 918938533204673/1000000000000000)) (-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)) (fma.f64 x y (-.f64 x 918938533204673/1000000000000000)))
(/.f64 (fma.f64 x y (-.f64 x 918938533204673/1000000000000000)) (/.f64 (fma.f64 x y (-.f64 x 918938533204673/1000000000000000)) (fma.f64 x y (-.f64 918938533204673/1000000000000000 x))))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (-.f64 (*.f64 y x) x) 2)) (-.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (/.f64 1 (-.f64 (*.f64 x y) (+.f64 x 918938533204673/1000000000000000))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x y (neg.f64 x)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 x (+.f64 -1 y) -918938533204673/1000000000000000))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x y) x) 2) -844448027808355901771309036929/1000000000000000000000000000000) (-.f64 (fma.f64 x y -918938533204673/1000000000000000) x))
(pow.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000))) 1)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(pow.f64 (pow.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000))) 3) 1/3)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(pow.f64 (cbrt.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))) 3)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(pow.f64 (sqrt.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))) 2)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(sqrt.f64 (pow.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000))) 2))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(log.f64 (exp.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000))))))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(cbrt.f64 (pow.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000))) 3))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(expm1.f64 (log1p.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(log1p.f64 (expm1.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(exp.f64 (log.f64 (fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(fma.f64 y x (neg.f64 (-.f64 x 918938533204673/1000000000000000)))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(fma.f64 x y (neg.f64 (-.f64 x 918938533204673/1000000000000000)))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(fma.f64 1 (*.f64 y x) (neg.f64 (-.f64 x 918938533204673/1000000000000000)))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(fma.f64 1 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2) (cbrt.f64 (-.f64 (*.f64 y x) x)) 918938533204673/1000000000000000)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 (-.f64 x 918938533204673/1000000000000000)))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) (sqrt.f64 (-.f64 (*.f64 y x) x)) 918938533204673/1000000000000000)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 (-.f64 x 918938533204673/1000000000000000)))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x))

eval49.0ms (1.9%)

Compiler

Compiled 2590 to 1550 computations (40.2% saved)

prune26.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1844188
Fresh000
Picked011
Done213
Total1866192
Error
0b
Counts
192 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶28.6b
(-.f64 918938533204673/1000000000000000 x)
✓19.2b
(+.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000)
✓26.9b
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
▶35.3b
(*.f64 y (-.f64 x 1/2))
▶53.8b
(*.f64 y x)
45.5b
918938533204673/1000000000000000
Compiler

Compiled 36 to 27 computations (25% saved)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval5.0ms (0.2%)

Compiler

Compiled 251 to 170 computations (32.3% saved)

prune7.0ms (0.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New26127
Fresh011
Picked011
Done044
Total26733
Error
0b
Counts
33 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓28.6b
(-.f64 918938533204673/1000000000000000 x)
✓19.2b
(+.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000)
✓26.9b
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
✓35.3b
(*.f64 y (-.f64 x 1/2))
✓53.8b
(*.f64 y x)
▶44.3b
(*.f64 y -1/2)
45.5b
918938533204673/1000000000000000
Compiler

Compiled 41 to 31 computations (24.4% saved)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done055
Total077
Error
0b
Counts
7 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓28.6b
(-.f64 918938533204673/1000000000000000 x)
✓19.2b
(+.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000)
✓26.9b
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
✓35.3b
(*.f64 y (-.f64 x 1/2))
✓53.8b
(*.f64 y x)
✓44.3b
(*.f64 y -1/2)
45.5b
918938533204673/1000000000000000
Compiler

Compiled 41 to 31 computations (24.4% saved)

regimes29.0ms (1.1%)

Counts
11 → 1
Calls
Call 1
Inputs
918938533204673/1000000000000000
(*.f64 y -1/2)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
(*.f64 y (-.f64 x 1/2))
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000)
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
Outputs
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
Calls

4 calls:

8.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
6.0ms
(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
6.0ms
x
6.0ms
y
Results
ErrorSegmentsBranch
0b1x
0b1y
0b1(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
0b1(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
Compiler

Compiled 89 to 61 computations (31.5% saved)

regimes29.0ms (1.1%)

Counts
10 → 1
Calls
Call 1
Inputs
918938533204673/1000000000000000
(*.f64 y -1/2)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
(*.f64 y (-.f64 x 1/2))
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000)
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Outputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Calls

4 calls:

8.0ms
(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
7.0ms
x
6.0ms
y
5.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
0.0b1(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
Compiler

Compiled 81 to 56 computations (30.9% saved)

regimes40.0ms (1.6%)

Counts
9 → 3
Calls
Call 1
Inputs
918938533204673/1000000000000000
(*.f64 y -1/2)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
(*.f64 y (-.f64 x 1/2))
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000)
Outputs
(+.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000)
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000)
Calls

2 calls:

22.0ms
x
16.0ms
y
Results
ErrorSegmentsBranch
0.2b3x
0.7b3y
Compiler

Compiled 46 to 30 computations (34.8% saved)

bsearch32.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
17.0ms
2062362059.0651648
1492300164612272000.0
15.0ms
-1538466334.9291165
-4145035.5972870514
Results
26.0ms272×body256valid
0.0ms2×body256infinite
Compiler

Compiled 358 to 269 computations (24.9% saved)

regimes44.0ms (1.8%)

Counts
8 → 3
Calls
Call 1
Inputs
918938533204673/1000000000000000
(*.f64 y -1/2)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
(*.f64 y (-.f64 x 1/2))
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
Outputs
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
Calls

2 calls:

25.0ms
x
17.0ms
y
Results
ErrorSegmentsBranch
6.7b5x
1.3b3y
Compiler

Compiled 39 to 27 computations (30.8% saved)

bsearch30.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
15.0ms
4.239199938910318e-12
0.00028099571702757016
15.0ms
-0.0005912741507101074
-3.872337085413702e-8
Results
26.0ms272×body256valid
Compiler

Compiled 290 to 235 computations (19% saved)

regimes45.0ms (1.8%)

Counts
7 → 3
Calls
Call 1
Inputs
918938533204673/1000000000000000
(*.f64 y -1/2)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
(*.f64 y (-.f64 x 1/2))
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
Outputs
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
Calls

2 calls:

27.0ms
x
14.0ms
y
Results
ErrorSegmentsBranch
7.6b6x
2.0b3y
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch31.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
15.0ms
0.7245557586800558
751.6968896305675
17.0ms
-1649347.365573371
-0.0005912741507101074
Results
28.0ms272×body256valid
Compiler

Compiled 256 to 201 computations (21.5% saved)

regimes65.0ms (2.6%)

Counts
5 → 6
Calls
Call 1
Inputs
918938533204673/1000000000000000
(*.f64 y -1/2)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
Outputs
(*.f64 y -1/2)
(*.f64 y x)
(*.f64 y -1/2)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y x)
(*.f64 y -1/2)
Calls

2 calls:

40.0ms
x
23.0ms
y
Results
ErrorSegmentsBranch
21.1b9x
8.7b6y
Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch81.0ms (3.2%)

Algorithm
5×binary-search
Steps
TimeLeftRight
14.0ms
3.907897319776521e+25
9.531829716460516e+28
14.0ms
0.7245557586800558
751.6968896305675
16.0ms
-2904947321848840.5
-1649347.365573371
19.0ms
-3.321878915839266e+91
-6.959281978727896e+76
18.0ms
-2.1580149757141717e+127
-2.7561496918785444e+119
Results
68.0ms704×body256valid
4.0ms47×body256infinite
Compiler

Compiled 546 to 419 computations (23.3% saved)

regimes37.0ms (1.5%)

Counts
3 → 6
Calls
Call 1
Inputs
918938533204673/1000000000000000
(*.f64 y -1/2)
(*.f64 y x)
Outputs
(*.f64 y -1/2)
(*.f64 y x)
(*.f64 y -1/2)
918938533204673/1000000000000000
(*.f64 y x)
(*.f64 y -1/2)
Calls

2 calls:

18.0ms
y
18.0ms
x
Results
ErrorSegmentsBranch
33.3b6x
25.6b6y
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch80.0ms (3.1%)

Algorithm
5×binary-search
Steps
TimeLeftRight
14.0ms
3.907897319776521e+25
9.531829716460516e+28
13.0ms
0.7245557586800558
751.6968896305675
15.0ms
-2904947321848840.5
-1649347.365573371
19.0ms
-3.321878915839266e+91
-6.959281978727896e+76
17.0ms
-2.1580149757141717e+127
-2.7561496918785444e+119
Results
67.0ms704×body256valid
4.0ms48×body256infinite
Compiler

Compiled 512 to 402 computations (21.5% saved)

regimes21.0ms (0.8%)

Accuracy

Total -34.6b remaining (-124.7%)

Threshold costs -34.6b (-124.7%)

Counts
2 → 3
Calls
Call 1
Inputs
918938533204673/1000000000000000
(*.f64 y -1/2)
Outputs
(*.f64 y -1/2)
918938533204673/1000000000000000
(*.f64 y -1/2)
Calls

2 calls:

13.0ms
x
8.0ms
y
Results
ErrorSegmentsBranch
41.5b4x
27.7b3y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch27.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
12.0ms
751.6968896305675
65193.060617532
16.0ms
-2904947321848840.5
-1649347.365573371
Results
23.0ms256×body256valid
1.0ms7×body256infinite
Compiler

Compiled 178 to 158 computations (11.2% saved)

simplify12.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
071262
195262
2107262
3113262
4116262
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(if (<=.f64 x -4700000) (+.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000) (if (<=.f64 x 2100000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000)))
(if (<=.f64 y -4382356096103031/75557863725914323419136) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (if (<=.f64 y 4110347786689739/1208925819614629174706176) (-.f64 918938533204673/1000000000000000 x) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(if (<=.f64 y -6530219459687219/4503599627370496) (*.f64 y (-.f64 x 1/2)) (if (<=.f64 y 4165829655317709/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (*.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -280000000000000013035647392189707362705185228340618779064912064304900406463589363148889409999336948700238045070472773632) (*.f64 y -1/2) (if (<=.f64 y -33000000000000001720931023255723628977507142245133766922303496712193264924003436680846508032) (*.f64 y x) (if (<=.f64 y -1700000) (*.f64 y -1/2) (if (<=.f64 y 3602879701896397/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 800000000000000038117834752) (*.f64 y x) (*.f64 y -1/2))))))
(if (<=.f64 y -499999999999999990001734173697100590834402596448504259094324155915386207313714362732394717464996219877388037590538518528) (*.f64 y -1/2) (if (<=.f64 y -33000000000000001720931023255723628977507142245133766922303496712193264924003436680846508032) (*.f64 y x) (if (<=.f64 y -1700000) (*.f64 y -1/2) (if (<=.f64 y 4728779608739021/4503599627370496) 918938533204673/1000000000000000 (if (<=.f64 y 85000000000000006627000320) (*.f64 y x) (*.f64 y -1/2))))))
(if (<=.f64 y -1700000) (*.f64 y -1/2) (if (<=.f64 y 760) 918938533204673/1000000000000000 (*.f64 y -1/2)))
918938533204673/1000000000000000
Outputs
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 x (-.f64 y 1)) (*.f64 y -1/2)))
(if (<=.f64 x -4700000) (+.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000) (if (<=.f64 x 2100000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000)))
(if (<=.f64 x -4700000) (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) (if (<=.f64 x 2100000000) (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x))))
(if (<=.f64 y -4382356096103031/75557863725914323419136) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (if (<=.f64 y 4110347786689739/1208925819614629174706176) (-.f64 918938533204673/1000000000000000 x) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(if (<=.f64 y -4382356096103031/75557863725914323419136) (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) (if (<=.f64 y 4110347786689739/1208925819614629174706176) (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))))
(if (<=.f64 y -6530219459687219/4503599627370496) (*.f64 y (-.f64 x 1/2)) (if (<=.f64 y 4165829655317709/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (*.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -6530219459687219/4503599627370496) (*.f64 y (+.f64 x -1/2)) (if (<=.f64 y 4165829655317709/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))))
(if (<=.f64 y -280000000000000013035647392189707362705185228340618779064912064304900406463589363148889409999336948700238045070472773632) (*.f64 y -1/2) (if (<=.f64 y -33000000000000001720931023255723628977507142245133766922303496712193264924003436680846508032) (*.f64 y x) (if (<=.f64 y -1700000) (*.f64 y -1/2) (if (<=.f64 y 3602879701896397/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 800000000000000038117834752) (*.f64 y x) (*.f64 y -1/2))))))
(if (<=.f64 y -499999999999999990001734173697100590834402596448504259094324155915386207313714362732394717464996219877388037590538518528) (*.f64 y -1/2) (if (<=.f64 y -33000000000000001720931023255723628977507142245133766922303496712193264924003436680846508032) (*.f64 y x) (if (<=.f64 y -1700000) (*.f64 y -1/2) (if (<=.f64 y 4728779608739021/4503599627370496) 918938533204673/1000000000000000 (if (<=.f64 y 85000000000000006627000320) (*.f64 y x) (*.f64 y -1/2))))))
(if (<=.f64 y -1700000) (*.f64 y -1/2) (if (<=.f64 y 760) 918938533204673/1000000000000000 (*.f64 y -1/2)))
918938533204673/1000000000000000
Compiler

Compiled 202 to 139 computations (31.2% saved)

soundness119.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
706×fma-neg_binary64
571×fma-def_binary64
225×cancel-sign-sub-inv_binary64
113×sub-neg_binary64
83×associate--r+_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01116
12714
26212
313112
427011
557611
6109811
7182411
8260611
9277711
10280411
Stop Event
1×saturated
Compiler

Compiled 260 to 200 computations (23.1% saved)

end87.0ms (3.4%)

Compiler

Compiled 186 to 121 computations (34.9% saved)

Profiling

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