Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3

Time bar (total: 2.5s)

analyze4.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 8 to 6 computations (25% saved)

sample1.3s (50%)

Results
1.2s8256×body256valid
0.0ms5×body256invalid
Bogosity

preprocess370.0ms (14.7%)

Algorithm
1×egg-herbie
Rules
1654×fma-def
1194×sub-neg
1138×distribute-lft-out
868×associate-+r+
716×*-commutative
Problems
256×No Errors
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251
12851
24651
39151
413451
521651
634251
762051
8122751
9209451
10478051
11646751
12722851
13752651
14758251
15761451
16786751
Stop Event
1×node limit
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x))))
Outputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
Symmetry

(abs x)

Compiler

Compiled 25 to 14 computations (44% saved)

eval1.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune4.0ms (0.2%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(sqrt.f64 (-.f64 1 (*.f64 x x)))
▶100.0%
(sqrt.f64 (-.f64 1 (*.f64 x x)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize76.0ms (3%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(sqrt.f64 (-.f64 1 (*.f64 x x)))
Compiler

Compiled 18 to 9 computations (50% saved)

series3.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(sqrt.f64 (-.f64 1 (*.f64 x x)))
1.0ms
x
@0
(sqrt.f64 (-.f64 1 (*.f64 x x)))
1.0ms
x
@-inf
(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite139.0ms (5.5%)

Algorithm
1×batch-egg-rewrite
Rules
1512×pow1
1404×add-exp-log
1402×log1p-expm1-u
1402×expm1-log1p-u
1374×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
116417
2198617
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))
Outputs
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))

simplify87.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
1962×fma-def
1636×fma-neg
522×associate-*r/
520×*-commutative
506×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01091240
12701136
27231014
32403970
46838970
Stop Event
1×node limit
Counts
34 → 76
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/16 (pow.f64 x 6)))))
(*.f64 x (sqrt.f64 -1))
(+.f64 (*.f64 x (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 x (sqrt.f64 -1))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 x (sqrt.f64 -1)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(*.f64 -1 (*.f64 x (sqrt.f64 -1)))
(-.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1))))))
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/16 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 6))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 -1/16 (pow.f64 x 6) 1)))
(*.f64 x (sqrt.f64 -1))
(+.f64 (*.f64 x (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x))
(fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 x (sqrt.f64 -1))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (fma.f64 x (sqrt.f64 -1) (/.f64 -1/8 (*.f64 (*.f64 (pow.f64 x 3) -1) (sqrt.f64 -1)))))
(+.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x) (fma.f64 x (sqrt.f64 -1) (/.f64 1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (sqrt.f64 -1))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 x (sqrt.f64 -1)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 -1/8 (*.f64 (*.f64 (pow.f64 x 3) -1) (sqrt.f64 -1)))))
(+.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 x (sqrt.f64 -1) (/.f64 1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))))
(-.f64 (+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (sqrt.f64 -1)))) (/.f64 -1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))
(*.f64 -1 (*.f64 x (sqrt.f64 -1)))
(*.f64 (neg.f64 x) (sqrt.f64 -1))
(*.f64 x (neg.f64 (sqrt.f64 -1)))
(-.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (*.f64 (neg.f64 x) (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(fma.f64 (neg.f64 x) (sqrt.f64 -1) (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))))
(-.f64 (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))) (*.f64 x (sqrt.f64 -1)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (fma.f64 -1 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(+.f64 (/.f64 1/8 (*.f64 (*.f64 (pow.f64 x 3) -1) (sqrt.f64 -1))) (fma.f64 (neg.f64 x) (sqrt.f64 -1) (/.f64 -1/2 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)))
(-.f64 (/.f64 (/.f64 -1/8 (pow.f64 x 3)) (sqrt.f64 -1)) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1))))))
(-.f64 (fma.f64 -1 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))))
(-.f64 (-.f64 (/.f64 1/8 (*.f64 (*.f64 (pow.f64 x 3) -1) (sqrt.f64 -1))) (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))))
(-.f64 (-.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x))) (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))
(+.f64 (/.f64 (/.f64 -1/8 (pow.f64 x 3)) (sqrt.f64 -1)) (-.f64 (/.f64 -1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))))
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(*.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (*.f64 x (neg.f64 x)))))
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))

eval24.0ms (1%)

Compiler

Compiled 1130 to 875 computations (22.6% saved)

prune10.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New73376
Fresh000
Picked011
Done000
Total73477
Accuracy
100.0%
Counts
77 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)
▶99.0%
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
✓100.0%
(sqrt.f64 (-.f64 1 (*.f64 x x)))
98.6%
1
▶100.0%
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)
▶99.0%
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
✓100.0%
(sqrt.f64 (-.f64 1 (*.f64 x x)))
98.6%
1
Compiler

Compiled 52 to 40 computations (23.1% saved)

localize66.0ms (2.6%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓100.0%
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)
✓100.0%
(cbrt.f64 (-.f64 1 (*.f64 x x)))
✓100.0%
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
✓100.0%
(*.f64 -1/2 (*.f64 x x))
Compiler

Compiled 45 to 23 computations (48.9% saved)

series8.0ms (0.3%)

Counts
4 → 32
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)
2.0ms
x
@inf
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)
1.0ms
x
@inf
(cbrt.f64 (-.f64 1 (*.f64 x x)))
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)
0.0ms
x
@-inf
(cbrt.f64 (-.f64 1 (*.f64 x x)))

rewrite95.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
1110×log-prod
1032×prod-diff
788×fma-def
638×pow-prod-down
588×pow-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01372
127862
2345162
Stop Event
1×node limit
Counts
4 → 143
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 x x))
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)
Outputs
(+.f64 0 (*.f64 x (*.f64 -1/2 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))))
(-.f64 (fma.f64 x (*.f64 -1/2 x) 1) 1)
(pow.f64 (*.f64 x (*.f64 -1/2 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 -1/2 x))) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)
(pow.f64 (*.f64 -1/8 (pow.f64 x 6)) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 -1/2 x)))))
(cbrt.f64 (*.f64 -1/8 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 -1/2 x))))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 x (*.f64 -1/2 x))) 1))
(exp.f64 (log.f64 (*.f64 x (*.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 -1/2 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 -1/2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 -1/2 x)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/8 (pow.f64 x 6))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 -1/2 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 -1/2 x))))
(fma.f64 1 (fma.f64 x (*.f64 -1/2 x) 1) -1)
(fma.f64 (fma.f64 x (*.f64 -1/2 x) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 1) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 1) 2)) (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)) -1)
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) -1)
(fma.f64 (fma.f64 -1/8 (pow.f64 x 6) 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 1/2 (*.f64 x x))))) -1)
(fma.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 x x)))) -1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 -1/2 x) 1))) 1)
(-.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x 4) 1/4) (+.f64 1 (*.f64 1/2 (*.f64 x x)))))
(*.f64 1 (fma.f64 x (*.f64 -1/2 x) 1))
(*.f64 (fma.f64 x (*.f64 -1/2 x) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 1) 2)) (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)))
(*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))
(*.f64 (fma.f64 -1/8 (pow.f64 x 6) 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 1/2 (*.f64 x x))))))
(*.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 x x)))))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 1/2 (*.f64 x x)))) (fma.f64 -1/8 (pow.f64 x 6) 1)))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) 1) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 1/2 (*.f64 x x)))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) 1) (fma.f64 (pow.f64 x 4) 1/4 (+.f64 1 (*.f64 1/2 (*.f64 x x)))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)) (+.f64 1 (*.f64 1/2 (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 x 6) 1)) (neg.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 1/2 (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))) (neg.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (fma.f64 -1/2 (*.f64 x x) -1))
(pow.f64 (fma.f64 x (*.f64 -1/2 x) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 1) 3) 1/3)
(pow.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 2)
(pow.f64 (/.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 1/2 (*.f64 x x)))) (fma.f64 -1/8 (pow.f64 x 6) 1)) -1)
(pow.f64 (/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 1) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 -1/2 x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 -1/2 x) 1))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 -1/2 x) 1)))
(exp.f64 (log1p.f64 (*.f64 x (*.f64 -1/2 x))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (*.f64 -1/2 x))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (*.f64 -1/2 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (*.f64 -1/2 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 x (*.f64 -1/2 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 -1/2 x) 1)))
(fma.f64 -1/2 (*.f64 x x) 1)
(fma.f64 x (*.f64 -1/2 x) 1)
(fma.f64 (*.f64 x x) -1/2 1)
(fma.f64 (*.f64 x (*.f64 -1/2 x)) 1 1)
(fma.f64 1 (*.f64 x (*.f64 -1/2 x)) 1)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) 1)
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 -1/2 x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 1)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 x (*.f64 -1/2 x))) 1)
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) 1)
(fma.f64 (*.f64 -1/2 x) x 1)
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) 1)
(fma.f64 (*.f64 (*.f64 -1/2 x) 1) x 1)
(fma.f64 (*.f64 (*.f64 -1/2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1)
(fma.f64 (*.f64 (*.f64 -1/2 x) (sqrt.f64 x)) (sqrt.f64 x) 1)
(+.f64 0 (cbrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(*.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (fma.f64 x x 1)))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1/6)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 0 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 2) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 3/2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(hypot.f64 1 (sqrt.f64 (*.f64 x (neg.f64 x))))
(exp.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/3) 3/2))
(exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 3/2))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 1))
(exp.f64 (*.f64 (*.f64 2/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3/4))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) 1/3))
(exp.f64 (*.f64 (*.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (*.f64 x (neg.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3/4) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))

simplify109.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
1420×fma-def
804×exp-prod
688×fma-neg
630×unswap-sqr
540×log-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03443757
17163585
218293447
358933439
Stop Event
1×node limit
Counts
175 → 194
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
1
(+.f64 1 (*.f64 -1/3 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 2)) (*.f64 -1/9 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/9 (pow.f64 x 4)) (*.f64 -5/81 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/16 (pow.f64 x 6)))))
(+.f64 0 (*.f64 x (*.f64 -1/2 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))))
(-.f64 (fma.f64 x (*.f64 -1/2 x) 1) 1)
(pow.f64 (*.f64 x (*.f64 -1/2 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 -1/2 x))) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)
(pow.f64 (*.f64 -1/8 (pow.f64 x 6)) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 -1/2 x)))))
(cbrt.f64 (*.f64 -1/8 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 -1/2 x))))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 x (*.f64 -1/2 x))) 1))
(exp.f64 (log.f64 (*.f64 x (*.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 -1/2 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 -1/2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 -1/2 x)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/8 (pow.f64 x 6))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 -1/2 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 -1/2 x))))
(fma.f64 1 (fma.f64 x (*.f64 -1/2 x) 1) -1)
(fma.f64 (fma.f64 x (*.f64 -1/2 x) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 1) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 1) 2)) (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)) -1)
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) -1)
(fma.f64 (fma.f64 -1/8 (pow.f64 x 6) 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 1/2 (*.f64 x x))))) -1)
(fma.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 x x)))) -1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 -1/2 x) 1))) 1)
(-.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x 4) 1/4) (+.f64 1 (*.f64 1/2 (*.f64 x x)))))
(*.f64 1 (fma.f64 x (*.f64 -1/2 x) 1))
(*.f64 (fma.f64 x (*.f64 -1/2 x) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 1) 2)) (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)))
(*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))
(*.f64 (fma.f64 -1/8 (pow.f64 x 6) 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 1/2 (*.f64 x x))))))
(*.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 x x)))))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 1/2 (*.f64 x x)))) (fma.f64 -1/8 (pow.f64 x 6) 1)))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) 1) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 1/2 (*.f64 x x)))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) 1) (fma.f64 (pow.f64 x 4) 1/4 (+.f64 1 (*.f64 1/2 (*.f64 x x)))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)) (+.f64 1 (*.f64 1/2 (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 x 6) 1)) (neg.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 1/2 (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))) (neg.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (fma.f64 -1/2 (*.f64 x x) -1))
(pow.f64 (fma.f64 x (*.f64 -1/2 x) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 1) 3) 1/3)
(pow.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 2)
(pow.f64 (/.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 1/2 (*.f64 x x)))) (fma.f64 -1/8 (pow.f64 x 6) 1)) -1)
(pow.f64 (/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 1) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 -1/2 x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 -1/2 x) 1))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 -1/2 x) 1)))
(exp.f64 (log1p.f64 (*.f64 x (*.f64 -1/2 x))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (*.f64 -1/2 x))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (*.f64 -1/2 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (*.f64 -1/2 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 x (*.f64 -1/2 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 -1/2 x) 1)))
(fma.f64 -1/2 (*.f64 x x) 1)
(fma.f64 x (*.f64 -1/2 x) 1)
(fma.f64 (*.f64 x x) -1/2 1)
(fma.f64 (*.f64 x (*.f64 -1/2 x)) 1 1)
(fma.f64 1 (*.f64 x (*.f64 -1/2 x)) 1)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) 1)
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 -1/2 x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 1)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 x (*.f64 -1/2 x))) 1)
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) 1)
(fma.f64 (*.f64 -1/2 x) x 1)
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) 1)
(fma.f64 (*.f64 (*.f64 -1/2 x) 1) x 1)
(fma.f64 (*.f64 (*.f64 -1/2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1)
(fma.f64 (*.f64 (*.f64 -1/2 x) (sqrt.f64 x)) (sqrt.f64 x) 1)
(+.f64 0 (cbrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(*.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (fma.f64 x x 1)))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1/6)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 0 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 2) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 3/2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(hypot.f64 1 (sqrt.f64 (*.f64 x (neg.f64 x))))
(exp.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/3) 3/2))
(exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 3/2))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 1))
(exp.f64 (*.f64 (*.f64 2/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3/4))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) 1/3))
(exp.f64 (*.f64 (*.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (*.f64 x (neg.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3/4) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
Outputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(fma.f64 x (*.f64 -1/2 x) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(fma.f64 x (*.f64 -1/2 x) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(fma.f64 x (*.f64 -1/2 x) 1)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(fma.f64 x (*.f64 -1/2 x) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(fma.f64 x (*.f64 -1/2 x) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(fma.f64 x (*.f64 -1/2 x) 1)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(fma.f64 x (*.f64 -1/2 x) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(fma.f64 x (*.f64 -1/2 x) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(fma.f64 x (*.f64 -1/2 x) 1)
1
(+.f64 1 (*.f64 -1/3 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/3 (*.f64 x x)))
(fma.f64 -1/3 (*.f64 x x) 1)
(fma.f64 x (*.f64 x -1/3) 1)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 2)) (*.f64 -1/9 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/3 (*.f64 x x) (*.f64 -1/9 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/3 (*.f64 x x) 1) (*.f64 -1/9 (pow.f64 x 4)))
(fma.f64 x (*.f64 x -1/3) (fma.f64 -1/9 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/9 (pow.f64 x 4)) (*.f64 -5/81 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/3 (*.f64 x x) (fma.f64 -1/9 (pow.f64 x 4) (*.f64 -5/81 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/3 (*.f64 x x) 1) (fma.f64 -5/81 (pow.f64 x 6) (*.f64 -1/9 (pow.f64 x 4))))
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(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) 1)
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) 1)
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 -1/2 x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 1)
(fma.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 1)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 x (*.f64 -1/2 x))) 1)
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 -1/2 x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 1)
(fma.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 1)
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) 1)
(fma.f64 -1/2 (*.f64 x x) 1)
(fma.f64 x (*.f64 -1/2 x) 1)
(fma.f64 (*.f64 -1/2 x) x 1)
(fma.f64 -1/2 (*.f64 x x) 1)
(fma.f64 x (*.f64 -1/2 x) 1)
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) 1)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) 1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) 1)
(fma.f64 (*.f64 (*.f64 -1/2 x) 1) x 1)
(fma.f64 -1/2 (*.f64 x x) 1)
(fma.f64 x (*.f64 -1/2 x) 1)
(fma.f64 (*.f64 (*.f64 -1/2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1)
(fma.f64 -1/2 (*.f64 x x) 1)
(fma.f64 x (*.f64 -1/2 x) 1)
(fma.f64 (*.f64 (*.f64 -1/2 x) (sqrt.f64 x)) (sqrt.f64 x) 1)
(fma.f64 -1/2 (*.f64 x x) 1)
(fma.f64 x (*.f64 -1/2 x) 1)
(+.f64 0 (cbrt.f64 (-.f64 1 (*.f64 x x))))
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))))
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(*.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x))))
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1)
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 2))
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6))
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (cbrt.f64 (fma.f64 x x (+.f64 1 (pow.f64 x 4)))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (fma.f64 x x 1)))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/3)
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1)
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2/3)
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2)
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1/6)
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) 2)
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))))
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))))
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/3))
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1/3))
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/3) 1))
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 1))
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 (*.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))) 2))
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (fma.f64 x (neg.f64 x) 1))
(+.f64 0 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(*.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 2) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) 2) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) 3/2))
(*.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) 2) 3/2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(hypot.f64 1 (sqrt.f64 (*.f64 x (neg.f64 x))))
(exp.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1/2))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/3) 3/2))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 3/2))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 (*.f64 2/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3/4))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) 1/3))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 (*.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))) 3))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (*.f64 x (neg.f64 x)))) 2))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3/4) 2))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))

eval61.0ms (2.4%)

Compiler

Compiled 2463 to 1789 computations (27.4% saved)

prune37.0ms (1.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1940194
Fresh011
Picked022
Done011
Total1944198
Accuracy
100.0%
Counts
198 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)
✓99.0%
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
✓100.0%
(sqrt.f64 (-.f64 1 (*.f64 x x)))
98.6%
1
✓100.0%
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)
✓99.0%
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
✓100.0%
(sqrt.f64 (-.f64 1 (*.f64 x x)))
98.6%
1
Compiler

Compiled 52 to 40 computations (23.1% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)
✓99.0%
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
✓100.0%
(sqrt.f64 (-.f64 1 (*.f64 x x)))
98.6%
1
✓100.0%
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)
✓99.0%
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
✓100.0%
(sqrt.f64 (-.f64 1 (*.f64 x x)))
98.6%
1
Compiler

Compiled 52 to 40 computations (23.1% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)
✓99.0%
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
✓100.0%
(sqrt.f64 (-.f64 1 (*.f64 x x)))
98.6%
1
Compiler

Compiled 49 to 35 computations (28.6% saved)

regimes11.0ms (0.4%)

Counts
4 → 1
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)
Outputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))
Calls

4 calls:

4.0ms
x
2.0ms
(*.f64 x x)
2.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))
2.0ms
(-.f64 1 (*.f64 x x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(sqrt.f64 (-.f64 1 (*.f64 x x)))
100.0%1(-.f64 1 (*.f64 x x))
100.0%1(*.f64 x x)
Compiler

Compiled 42 to 27 computations (35.7% saved)

regimes10.0ms (0.4%)

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

2 calls:

5.0ms
x
4.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.0%1x
99.0%1(*.f64 x x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
1
Outputs
1
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
98.6%1x
Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
8×+-commutative
6×sub-neg
6×*-commutative
4×neg-mul-1
4×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01137
12037
22737
33137
43337
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
1
Outputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(+.f64 1 (*.f64 (*.f64 x x) -1/2))
1
Compiler

Compiled 17 to 13 computations (23.5% saved)

soundness106.0ms (4.2%)

Rules
1962×fma-def
1636×fma-neg
522×associate-*r/
520×*-commutative
506×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01091240
12701136
27231014
32403970
46838970
Stop Event
1×node limit
Compiler

Compiled 15 to 12 computations (20% saved)

end0.0ms (0%)

preprocess27.0ms (1.1%)

Remove

(abs x)

Compiler

Compiled 58 to 40 computations (31% saved)

Profiling

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